24.664 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.058 * * * [progress]: [2/2] Setting up program.
0.063 * [progress]: [Phase 2 of 3] Improving.
0.063 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
0.063 * * [simplify]: Extracting # 0 : cost  0
0.064 * * [simplify]: Extracting # 1 : cost  0
0.064 * * [simplify]: Extracting # 2 : cost  0
0.064 * * [simplify]: Extracting # 3 : cost  0
0.064 * * [simplify]: Extracting # 4 : cost  0
0.064 * * [simplify]: Extracting # 5 : cost  0
0.064 * * [simplify]: Extracting # 6 : cost  0
0.064 * * [simplify]: Extracting # 7 : cost  0
0.064 * * [simplify]: Extracting # 8 : cost  0
0.064 * * [simplify]: iteration  0 :  12  enodes  (cost  15 )
0.068 * * [simplify]: Extracting # 0 : cost  0
0.068 * * [simplify]: Extracting # 1 : cost  0
0.068 * * [simplify]: Extracting # 2 : cost  0
0.068 * * [simplify]: iteration  1 :  24  enodes  (cost  10 )
0.076 * * [simplify]: Extracting # 0 : cost  0
0.076 * * [simplify]: iteration  2 :  30  enodes  (cost  10 )
0.083 * * [simplify]: Extracting # 0 : cost  0
0.083 * * [simplify]: iteration  3 :  32  enodes  (cost  10 )
0.091 * * [simplify]: Extracting # 0 : cost  0
0.091 * * [simplify]: iteration done:  32  enodes  (cost  10 )
0.091 * [simplify]: Simplified to:
  (* 0.5 (sqrt (* (+ re (hypot re im)) 2.0)))
0.099 * * [progress]: iteration 1 / 4
0.099 * * * [progress]: picking best candidate
0.103 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (hypot re im)) 2.0))))>
0.103 * * * [progress]: localizing error
0.118 * * * [progress]: generating rewritten candidates
0.118 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1)
0.124 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2)
0.149 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 1 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
0.151 * [taylor]: Taking taylor expansion of re in im
0.151 * [backup-simplify]: Simplify re into re
0.151 * [taylor]: Taking taylor expansion of (* im im) in im
0.151 * [taylor]: Taking taylor expansion of im in im
0.151 * [backup-simplify]: Simplify 0 into 0
0.151 * [backup-simplify]: Simplify 1 into 1
0.151 * [taylor]: Taking taylor expansion of im in im
0.151 * [backup-simplify]: Simplify 0 into 0
0.151 * [backup-simplify]: Simplify 1 into 1
0.151 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.152 * [backup-simplify]: Simplify (* 0 0) into 0
0.152 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.152 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.152 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.152 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.153 * [backup-simplify]: Simplify (+ 0 0) into 0
0.153 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.153 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
0.153 * [taylor]: Taking taylor expansion of re in re
0.153 * [backup-simplify]: Simplify 0 into 0
0.153 * [backup-simplify]: Simplify 1 into 1
0.153 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.153 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.153 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.153 * [taylor]: Taking taylor expansion of (* re re) in re
0.153 * [taylor]: Taking taylor expansion of re in re
0.153 * [backup-simplify]: Simplify 0 into 0
0.153 * [backup-simplify]: Simplify 1 into 1
0.153 * [taylor]: Taking taylor expansion of re in re
0.153 * [backup-simplify]: Simplify 0 into 0
0.153 * [backup-simplify]: Simplify 1 into 1
0.153 * [taylor]: Taking taylor expansion of (* im im) in re
0.153 * [taylor]: Taking taylor expansion of im in re
0.153 * [backup-simplify]: Simplify im into im
0.153 * [taylor]: Taking taylor expansion of im in re
0.153 * [backup-simplify]: Simplify im into im
0.153 * [backup-simplify]: Simplify (* 0 0) into 0
0.153 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.153 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.154 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.154 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.154 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.154 * [backup-simplify]: Simplify (+ 0 0) into 0
0.154 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 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
0.155 * [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)
0.155 * [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
0.156 * [backup-simplify]: Simplify (+ 0 0) into 0
0.156 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.156 * [backup-simplify]: Simplify (+ 0 im) into im
0.156 * [taylor]: Taking taylor expansion of im in im
0.156 * [backup-simplify]: Simplify 0 into 0
0.156 * [backup-simplify]: Simplify 1 into 1
0.156 * [backup-simplify]: Simplify 0 into 0
0.156 * [backup-simplify]: Simplify (+ 1 0) into 1
0.156 * [taylor]: Taking taylor expansion of 1 in im
0.157 * [backup-simplify]: Simplify 1 into 1
0.157 * [backup-simplify]: Simplify 1 into 1
0.157 * [backup-simplify]: Simplify 1 into 1
0.157 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.158 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.158 * [backup-simplify]: Simplify (+ 1 0) into 1
0.159 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.159 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.159 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
0.159 * [taylor]: Taking taylor expansion of 1/2 in im
0.159 * [backup-simplify]: Simplify 1/2 into 1/2
0.159 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.159 * [taylor]: Taking taylor expansion of im in im
0.159 * [backup-simplify]: Simplify 0 into 0
0.159 * [backup-simplify]: Simplify 1 into 1
0.160 * [backup-simplify]: Simplify (/ 1 1) into 1
0.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.161 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.161 * [backup-simplify]: Simplify 0 into 0
0.161 * [backup-simplify]: Simplify 0 into 0
0.161 * [backup-simplify]: Simplify 0 into 0
0.162 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
0.164 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.164 * [backup-simplify]: Simplify (+ 0 0) into 0
0.164 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.165 * [backup-simplify]: Simplify (+ 0 0) into 0
0.165 * [taylor]: Taking taylor expansion of 0 in im
0.165 * [backup-simplify]: Simplify 0 into 0
0.165 * [backup-simplify]: Simplify 0 into 0
0.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.167 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.167 * [backup-simplify]: Simplify 0 into 0
0.167 * [backup-simplify]: Simplify 0 into 0
0.167 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
0.167 * [backup-simplify]: Simplify (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) into (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))
0.167 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0
0.167 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
0.167 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
0.167 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.167 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
0.168 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
0.168 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.168 * [taylor]: Taking taylor expansion of re in im
0.168 * [backup-simplify]: Simplify re into re
0.168 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.168 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.168 * [taylor]: Taking taylor expansion of re in im
0.168 * [backup-simplify]: Simplify re into re
0.168 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.168 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
0.168 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.168 * [taylor]: Taking taylor expansion of im in im
0.168 * [backup-simplify]: Simplify 0 into 0
0.168 * [backup-simplify]: Simplify 1 into 1
0.169 * [backup-simplify]: Simplify (/ 1 1) into 1
0.169 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.169 * [taylor]: Taking taylor expansion of im in im
0.169 * [backup-simplify]: Simplify 0 into 0
0.169 * [backup-simplify]: Simplify 1 into 1
0.169 * [backup-simplify]: Simplify (/ 1 1) into 1
0.169 * [backup-simplify]: Simplify (* 1 1) into 1
0.170 * [backup-simplify]: Simplify (+ 0 1) into 1
0.170 * [backup-simplify]: Simplify (sqrt 1) into 1
0.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.173 * [backup-simplify]: Simplify (+ 0 0) into 0
0.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.174 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.174 * [taylor]: Taking taylor expansion of re in im
0.174 * [backup-simplify]: Simplify re into re
0.174 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.174 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
0.174 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.174 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.174 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.174 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.174 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.174 * [taylor]: Taking taylor expansion of re in re
0.174 * [backup-simplify]: Simplify 0 into 0
0.174 * [backup-simplify]: Simplify 1 into 1
0.175 * [backup-simplify]: Simplify (/ 1 1) into 1
0.175 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.175 * [taylor]: Taking taylor expansion of re in re
0.175 * [backup-simplify]: Simplify 0 into 0
0.175 * [backup-simplify]: Simplify 1 into 1
0.175 * [backup-simplify]: Simplify (/ 1 1) into 1
0.175 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.175 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.175 * [taylor]: Taking taylor expansion of im in re
0.175 * [backup-simplify]: Simplify im into im
0.175 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.175 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.175 * [taylor]: Taking taylor expansion of im in re
0.175 * [backup-simplify]: Simplify im into im
0.175 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.176 * [backup-simplify]: Simplify (* 1 1) into 1
0.176 * [backup-simplify]: Simplify (+ 1 0) into 1
0.177 * [backup-simplify]: Simplify (sqrt 1) into 1
0.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.179 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.179 * [backup-simplify]: Simplify (+ 0 0) into 0
0.180 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.180 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.180 * [taylor]: Taking taylor expansion of re in re
0.180 * [backup-simplify]: Simplify 0 into 0
0.180 * [backup-simplify]: Simplify 1 into 1
0.180 * [backup-simplify]: Simplify (/ 1 1) into 1
0.180 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
0.180 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.181 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.181 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.181 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.181 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.181 * [taylor]: Taking taylor expansion of re in re
0.181 * [backup-simplify]: Simplify 0 into 0
0.181 * [backup-simplify]: Simplify 1 into 1
0.181 * [backup-simplify]: Simplify (/ 1 1) into 1
0.181 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.181 * [taylor]: Taking taylor expansion of re in re
0.181 * [backup-simplify]: Simplify 0 into 0
0.181 * [backup-simplify]: Simplify 1 into 1
0.182 * [backup-simplify]: Simplify (/ 1 1) into 1
0.182 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.182 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.182 * [taylor]: Taking taylor expansion of im in re
0.182 * [backup-simplify]: Simplify im into im
0.182 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.182 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.182 * [taylor]: Taking taylor expansion of im in re
0.182 * [backup-simplify]: Simplify im into im
0.182 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.182 * [backup-simplify]: Simplify (* 1 1) into 1
0.183 * [backup-simplify]: Simplify (+ 1 0) into 1
0.183 * [backup-simplify]: Simplify (sqrt 1) into 1
0.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.185 * [backup-simplify]: Simplify (+ 0 0) into 0
0.186 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.186 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.186 * [taylor]: Taking taylor expansion of re in re
0.186 * [backup-simplify]: Simplify 0 into 0
0.186 * [backup-simplify]: Simplify 1 into 1
0.186 * [backup-simplify]: Simplify (/ 1 1) into 1
0.186 * [backup-simplify]: Simplify (+ 1 1) into 2
0.186 * [taylor]: Taking taylor expansion of 2 in im
0.186 * [backup-simplify]: Simplify 2 into 2
0.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.187 * [backup-simplify]: Simplify (+ 0 0) into 0
0.187 * [taylor]: Taking taylor expansion of 0 in im
0.187 * [backup-simplify]: Simplify 0 into 0
0.187 * [backup-simplify]: Simplify 2 into 2
0.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.189 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
0.189 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.190 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.190 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.190 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.190 * [taylor]: Taking taylor expansion of 1/2 in im
0.190 * [backup-simplify]: Simplify 1/2 into 1/2
0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.190 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.190 * [taylor]: Taking taylor expansion of im in im
0.190 * [backup-simplify]: Simplify 0 into 0
0.190 * [backup-simplify]: Simplify 1 into 1
0.191 * [backup-simplify]: Simplify (* 1 1) into 1
0.191 * [backup-simplify]: Simplify (/ 1 1) into 1
0.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.192 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.192 * [backup-simplify]: Simplify 0 into 0
0.192 * [backup-simplify]: Simplify 0 into 0
0.192 * [backup-simplify]: Simplify 0 into 0
0.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.194 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.194 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.194 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
0.194 * [backup-simplify]: Simplify (+ 0 0) into 0
0.195 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.197 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.197 * [backup-simplify]: Simplify 0 into 0
0.197 * [backup-simplify]: Simplify 0 into 0
0.197 * [backup-simplify]: Simplify 0 into 0
0.197 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
0.197 * [backup-simplify]: Simplify (+ (/ 1 (- re)) (hypot (/ 1 (- re)) (/ 1 (- im)))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
0.198 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
0.198 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
0.198 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
0.198 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.198 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
0.198 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
0.198 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.198 * [taylor]: Taking taylor expansion of -1 in im
0.198 * [backup-simplify]: Simplify -1 into -1
0.198 * [taylor]: Taking taylor expansion of re in im
0.198 * [backup-simplify]: Simplify re into re
0.198 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.198 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.198 * [taylor]: Taking taylor expansion of -1 in im
0.198 * [backup-simplify]: Simplify -1 into -1
0.198 * [taylor]: Taking taylor expansion of re in im
0.198 * [backup-simplify]: Simplify re into re
0.198 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.198 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
0.198 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.198 * [taylor]: Taking taylor expansion of -1 in im
0.198 * [backup-simplify]: Simplify -1 into -1
0.198 * [taylor]: Taking taylor expansion of im in im
0.198 * [backup-simplify]: Simplify 0 into 0
0.198 * [backup-simplify]: Simplify 1 into 1
0.198 * [backup-simplify]: Simplify (/ -1 1) into -1
0.198 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.198 * [taylor]: Taking taylor expansion of -1 in im
0.198 * [backup-simplify]: Simplify -1 into -1
0.198 * [taylor]: Taking taylor expansion of im in im
0.198 * [backup-simplify]: Simplify 0 into 0
0.198 * [backup-simplify]: Simplify 1 into 1
0.199 * [backup-simplify]: Simplify (/ -1 1) into -1
0.199 * [backup-simplify]: Simplify (* -1 -1) into 1
0.199 * [backup-simplify]: Simplify (+ 0 1) into 1
0.199 * [backup-simplify]: Simplify (sqrt 1) into 1
0.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.201 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.201 * [backup-simplify]: Simplify (+ 0 0) into 0
0.202 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.202 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.202 * [taylor]: Taking taylor expansion of re in im
0.202 * [backup-simplify]: Simplify re into re
0.202 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.202 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
0.202 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.202 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.202 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.202 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.202 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.202 * [taylor]: Taking taylor expansion of -1 in re
0.202 * [backup-simplify]: Simplify -1 into -1
0.202 * [taylor]: Taking taylor expansion of re in re
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
0.202 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.202 * [taylor]: Taking taylor expansion of -1 in re
0.202 * [backup-simplify]: Simplify -1 into -1
0.202 * [taylor]: Taking taylor expansion of re in re
0.202 * [backup-simplify]: Simplify 0 into 0
0.202 * [backup-simplify]: Simplify 1 into 1
0.203 * [backup-simplify]: Simplify (/ -1 1) into -1
0.203 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.203 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.203 * [taylor]: Taking taylor expansion of -1 in re
0.203 * [backup-simplify]: Simplify -1 into -1
0.203 * [taylor]: Taking taylor expansion of im in re
0.203 * [backup-simplify]: Simplify im into im
0.203 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.203 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.203 * [taylor]: Taking taylor expansion of -1 in re
0.203 * [backup-simplify]: Simplify -1 into -1
0.203 * [taylor]: Taking taylor expansion of im in re
0.203 * [backup-simplify]: Simplify im into im
0.203 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.203 * [backup-simplify]: Simplify (* -1 -1) into 1
0.203 * [backup-simplify]: Simplify (+ 1 0) into 1
0.204 * [backup-simplify]: Simplify (sqrt 1) into 1
0.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.205 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.205 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.205 * [backup-simplify]: Simplify (+ 0 0) into 0
0.206 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.206 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.206 * [taylor]: Taking taylor expansion of re in re
0.206 * [backup-simplify]: Simplify 0 into 0
0.206 * [backup-simplify]: Simplify 1 into 1
0.206 * [backup-simplify]: Simplify (/ 1 1) into 1
0.206 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
0.206 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.206 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.206 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.206 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.206 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.206 * [taylor]: Taking taylor expansion of -1 in re
0.206 * [backup-simplify]: Simplify -1 into -1
0.206 * [taylor]: Taking taylor expansion of re in re
0.206 * [backup-simplify]: Simplify 0 into 0
0.206 * [backup-simplify]: Simplify 1 into 1
0.207 * [backup-simplify]: Simplify (/ -1 1) into -1
0.207 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.207 * [taylor]: Taking taylor expansion of -1 in re
0.207 * [backup-simplify]: Simplify -1 into -1
0.207 * [taylor]: Taking taylor expansion of re in re
0.207 * [backup-simplify]: Simplify 0 into 0
0.207 * [backup-simplify]: Simplify 1 into 1
0.207 * [backup-simplify]: Simplify (/ -1 1) into -1
0.207 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.207 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.207 * [taylor]: Taking taylor expansion of -1 in re
0.207 * [backup-simplify]: Simplify -1 into -1
0.207 * [taylor]: Taking taylor expansion of im in re
0.207 * [backup-simplify]: Simplify im into im
0.207 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.207 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.207 * [taylor]: Taking taylor expansion of -1 in re
0.207 * [backup-simplify]: Simplify -1 into -1
0.207 * [taylor]: Taking taylor expansion of im in re
0.207 * [backup-simplify]: Simplify im into im
0.207 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.207 * [backup-simplify]: Simplify (* -1 -1) into 1
0.208 * [backup-simplify]: Simplify (+ 1 0) into 1
0.208 * [backup-simplify]: Simplify (sqrt 1) into 1
0.208 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.209 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.210 * [backup-simplify]: Simplify (+ 0 0) into 0
0.210 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.210 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.210 * [taylor]: Taking taylor expansion of re in re
0.210 * [backup-simplify]: Simplify 0 into 0
0.210 * [backup-simplify]: Simplify 1 into 1
0.210 * [backup-simplify]: Simplify (/ 1 1) into 1
0.211 * [backup-simplify]: Simplify (- 1) into -1
0.211 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.211 * [taylor]: Taking taylor expansion of 0 in im
0.211 * [backup-simplify]: Simplify 0 into 0
0.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.212 * [backup-simplify]: Simplify (- 0) into 0
0.212 * [backup-simplify]: Simplify (+ 0 0) into 0
0.212 * [taylor]: Taking taylor expansion of 0 in im
0.212 * [backup-simplify]: Simplify 0 into 0
0.212 * [backup-simplify]: Simplify 0 into 0
0.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.215 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.215 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
0.215 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.217 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.218 * [backup-simplify]: Simplify (- 0) into 0
0.218 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.218 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.218 * [taylor]: Taking taylor expansion of 1/2 in im
0.218 * [backup-simplify]: Simplify 1/2 into 1/2
0.218 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.218 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.218 * [taylor]: Taking taylor expansion of im in im
0.218 * [backup-simplify]: Simplify 0 into 0
0.219 * [backup-simplify]: Simplify 1 into 1
0.219 * [backup-simplify]: Simplify (* 1 1) into 1
0.219 * [backup-simplify]: Simplify (/ 1 1) into 1
0.220 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.221 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.222 * [backup-simplify]: Simplify 0 into 0
0.222 * [backup-simplify]: Simplify 0 into 0
0.222 * [backup-simplify]: Simplify 0 into 0
0.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.225 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.225 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.225 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.225 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
0.226 * [backup-simplify]: Simplify (+ 0 0) into 0
0.226 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.228 * [backup-simplify]: Simplify (- 0) into 0
0.228 * [backup-simplify]: Simplify (+ 0 0) into 0
0.228 * [taylor]: Taking taylor expansion of 0 in im
0.228 * [backup-simplify]: Simplify 0 into 0
0.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.230 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.230 * [backup-simplify]: Simplify 0 into 0
0.230 * [backup-simplify]: Simplify 0 into 0
0.230 * [backup-simplify]: Simplify 0 into 0
0.230 * * * * [progress]: [ 2 / 3 ] generating series at (2 2)
0.230 * [backup-simplify]: Simplify (sqrt (* (+ re (hypot re im)) 2.0)) into (* (sqrt (+ re (hypot re im))) (sqrt 2.0))
0.230 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0
0.230 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im
0.230 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im
0.230 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im
0.230 * [taylor]: Taking taylor expansion of re in im
0.230 * [backup-simplify]: Simplify re into re
0.230 * [taylor]: Taking taylor expansion of (hypot re im) in im
0.230 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.230 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
0.230 * [taylor]: Taking taylor expansion of (* re re) in im
0.230 * [taylor]: Taking taylor expansion of re in im
0.230 * [backup-simplify]: Simplify re into re
0.230 * [taylor]: Taking taylor expansion of re in im
0.230 * [backup-simplify]: Simplify re into re
0.230 * [taylor]: Taking taylor expansion of (* im im) in im
0.231 * [taylor]: Taking taylor expansion of im in im
0.231 * [backup-simplify]: Simplify 0 into 0
0.231 * [backup-simplify]: Simplify 1 into 1
0.231 * [taylor]: Taking taylor expansion of im in im
0.231 * [backup-simplify]: Simplify 0 into 0
0.231 * [backup-simplify]: Simplify 1 into 1
0.231 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.231 * [backup-simplify]: Simplify (* 0 0) into 0
0.231 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.231 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.231 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.232 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.232 * [backup-simplify]: Simplify (+ 0 0) into 0
0.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.232 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
0.232 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
0.232 * [backup-simplify]: Simplify (+ 0 0) into 0
0.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
0.232 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.232 * [taylor]: Taking taylor expansion of 2.0 in im
0.232 * [backup-simplify]: Simplify 2.0 into 2.0
0.233 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.233 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.233 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re
0.233 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re
0.233 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
0.233 * [taylor]: Taking taylor expansion of re in re
0.233 * [backup-simplify]: Simplify 0 into 0
0.233 * [backup-simplify]: Simplify 1 into 1
0.233 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.233 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.233 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.233 * [taylor]: Taking taylor expansion of (* re re) in re
0.233 * [taylor]: Taking taylor expansion of re in re
0.233 * [backup-simplify]: Simplify 0 into 0
0.233 * [backup-simplify]: Simplify 1 into 1
0.233 * [taylor]: Taking taylor expansion of re in re
0.233 * [backup-simplify]: Simplify 0 into 0
0.233 * [backup-simplify]: Simplify 1 into 1
0.233 * [taylor]: Taking taylor expansion of (* im im) in re
0.233 * [taylor]: Taking taylor expansion of im in re
0.233 * [backup-simplify]: Simplify im into im
0.233 * [taylor]: Taking taylor expansion of im in re
0.234 * [backup-simplify]: Simplify im into im
0.234 * [backup-simplify]: Simplify (* 0 0) into 0
0.234 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.234 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.234 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.234 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.234 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.235 * [backup-simplify]: Simplify (+ 0 0) into 0
0.235 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.235 * [backup-simplify]: Simplify (+ 0 im) into im
0.235 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.235 * [backup-simplify]: Simplify (+ 1 0) into 1
0.235 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.235 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.235 * [taylor]: Taking taylor expansion of 2.0 in re
0.235 * [backup-simplify]: Simplify 2.0 into 2.0
0.236 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.236 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.236 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re
0.236 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re
0.236 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
0.236 * [taylor]: Taking taylor expansion of re in re
0.236 * [backup-simplify]: Simplify 0 into 0
0.236 * [backup-simplify]: Simplify 1 into 1
0.236 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.236 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.236 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.236 * [taylor]: Taking taylor expansion of (* re re) in re
0.236 * [taylor]: Taking taylor expansion of re in re
0.236 * [backup-simplify]: Simplify 0 into 0
0.236 * [backup-simplify]: Simplify 1 into 1
0.236 * [taylor]: Taking taylor expansion of re in re
0.236 * [backup-simplify]: Simplify 0 into 0
0.236 * [backup-simplify]: Simplify 1 into 1
0.236 * [taylor]: Taking taylor expansion of (* im im) in re
0.236 * [taylor]: Taking taylor expansion of im in re
0.236 * [backup-simplify]: Simplify im into im
0.236 * [taylor]: Taking taylor expansion of im in re
0.236 * [backup-simplify]: Simplify im into im
0.237 * [backup-simplify]: Simplify (* 0 0) into 0
0.237 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.237 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.237 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.237 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.237 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.238 * [backup-simplify]: Simplify (+ 0 0) into 0
0.238 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.238 * [backup-simplify]: Simplify (+ 0 im) into im
0.238 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.238 * [backup-simplify]: Simplify (+ 1 0) into 1
0.238 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.238 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.238 * [taylor]: Taking taylor expansion of 2.0 in re
0.238 * [backup-simplify]: Simplify 2.0 into 2.0
0.238 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.239 * [backup-simplify]: Simplify (* (sqrt im) (sqrt 2.0)) into (* (sqrt 2.0) (sqrt im))
0.239 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
0.239 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.239 * [taylor]: Taking taylor expansion of 2.0 in im
0.240 * [backup-simplify]: Simplify 2.0 into 2.0
0.240 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.240 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.240 * [taylor]: Taking taylor expansion of (sqrt im) in im
0.240 * [taylor]: Taking taylor expansion of im in im
0.240 * [backup-simplify]: Simplify 0 into 0
0.240 * [backup-simplify]: Simplify 1 into 1
0.241 * [backup-simplify]: Simplify (sqrt 0) into 0
0.242 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.242 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.242 * [backup-simplify]: Simplify 0 into 0
0.242 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* (* 1/2 (sqrt (/ 1 im))) (sqrt 2.0))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
0.242 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
0.242 * [taylor]: Taking taylor expansion of 1/2 in im
0.242 * [backup-simplify]: Simplify 1/2 into 1/2
0.243 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
0.243 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.243 * [taylor]: Taking taylor expansion of 2.0 in im
0.243 * [backup-simplify]: Simplify 2.0 into 2.0
0.243 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.243 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.243 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
0.243 * [taylor]: Taking taylor expansion of (/ 1 im) 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 (sqrt 0) into 0
0.245 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.246 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.246 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.253 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.254 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.255 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.256 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.257 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.258 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.258 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.259 * [backup-simplify]: Simplify (+ 1 0) into 1
0.259 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.259 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.260 * [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))))
0.261 * [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)))))
0.261 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
0.261 * [taylor]: Taking taylor expansion of 1/8 in im
0.261 * [backup-simplify]: Simplify 1/8 into 1/8
0.261 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
0.261 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.261 * [taylor]: Taking taylor expansion of 2.0 in im
0.261 * [backup-simplify]: Simplify 2.0 into 2.0
0.262 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.262 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.262 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
0.262 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
0.263 * [taylor]: Taking taylor expansion of (pow im 3) in im
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 (* 1 1) into 1
0.263 * [backup-simplify]: Simplify (* 1 1) into 1
0.264 * [backup-simplify]: Simplify (/ 1 1) into 1
0.264 * [backup-simplify]: Simplify (sqrt 0) into 0
0.265 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.270 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.271 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.274 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.276 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.277 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.281 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.283 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.288 * [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)))))))
0.288 * [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))
0.288 * [approximate]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0
0.288 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im
0.288 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im
0.288 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
0.289 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
0.289 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.289 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
0.289 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
0.289 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.289 * [taylor]: Taking taylor expansion of re in im
0.289 * [backup-simplify]: Simplify re into re
0.289 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.289 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.289 * [taylor]: Taking taylor expansion of re in im
0.289 * [backup-simplify]: Simplify re into re
0.289 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.289 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
0.289 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.289 * [taylor]: Taking taylor expansion of im in im
0.289 * [backup-simplify]: Simplify 0 into 0
0.289 * [backup-simplify]: Simplify 1 into 1
0.289 * [backup-simplify]: Simplify (/ 1 1) into 1
0.289 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.289 * [taylor]: Taking taylor expansion of im in im
0.289 * [backup-simplify]: Simplify 0 into 0
0.289 * [backup-simplify]: Simplify 1 into 1
0.290 * [backup-simplify]: Simplify (/ 1 1) into 1
0.290 * [backup-simplify]: Simplify (* 1 1) into 1
0.290 * [backup-simplify]: Simplify (+ 0 1) into 1
0.290 * [backup-simplify]: Simplify (sqrt 1) into 1
0.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.292 * [backup-simplify]: Simplify (+ 0 0) into 0
0.292 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.292 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.292 * [taylor]: Taking taylor expansion of re in im
0.292 * [backup-simplify]: Simplify re into re
0.292 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.293 * [backup-simplify]: Simplify (+ 1 0) into 1
0.293 * [backup-simplify]: Simplify (sqrt 0) into 0
0.294 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.294 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.294 * [taylor]: Taking taylor expansion of 2.0 in im
0.294 * [backup-simplify]: Simplify 2.0 into 2.0
0.294 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.294 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.294 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re
0.294 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re
0.294 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
0.294 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.295 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.295 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.295 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.295 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.295 * [taylor]: Taking taylor expansion of re in re
0.295 * [backup-simplify]: Simplify 0 into 0
0.295 * [backup-simplify]: Simplify 1 into 1
0.295 * [backup-simplify]: Simplify (/ 1 1) into 1
0.295 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.295 * [taylor]: Taking taylor expansion of re in re
0.295 * [backup-simplify]: Simplify 0 into 0
0.295 * [backup-simplify]: Simplify 1 into 1
0.295 * [backup-simplify]: Simplify (/ 1 1) into 1
0.295 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.295 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.295 * [taylor]: Taking taylor expansion of im in re
0.295 * [backup-simplify]: Simplify im into im
0.295 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.295 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.295 * [taylor]: Taking taylor expansion of im in re
0.295 * [backup-simplify]: Simplify im into im
0.295 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.296 * [backup-simplify]: Simplify (* 1 1) into 1
0.296 * [backup-simplify]: Simplify (+ 1 0) into 1
0.296 * [backup-simplify]: Simplify (sqrt 1) into 1
0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.297 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.298 * [backup-simplify]: Simplify (+ 0 0) into 0
0.298 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.298 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.298 * [taylor]: Taking taylor expansion of re in re
0.298 * [backup-simplify]: Simplify 0 into 0
0.298 * [backup-simplify]: Simplify 1 into 1
0.298 * [backup-simplify]: Simplify (/ 1 1) into 1
0.299 * [backup-simplify]: Simplify (+ 1 1) into 2
0.299 * [backup-simplify]: Simplify (sqrt 0) into 0
0.300 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.300 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.300 * [taylor]: Taking taylor expansion of 2.0 in re
0.300 * [backup-simplify]: Simplify 2.0 into 2.0
0.300 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.300 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.300 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re
0.300 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re
0.300 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
0.300 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.301 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.301 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.301 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.301 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.301 * [taylor]: Taking taylor expansion of re in re
0.301 * [backup-simplify]: Simplify 0 into 0
0.301 * [backup-simplify]: Simplify 1 into 1
0.301 * [backup-simplify]: Simplify (/ 1 1) into 1
0.301 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.301 * [taylor]: Taking taylor expansion of re in re
0.301 * [backup-simplify]: Simplify 0 into 0
0.301 * [backup-simplify]: Simplify 1 into 1
0.301 * [backup-simplify]: Simplify (/ 1 1) into 1
0.301 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.301 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.301 * [taylor]: Taking taylor expansion of im in re
0.301 * [backup-simplify]: Simplify im into im
0.301 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.301 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.301 * [taylor]: Taking taylor expansion of im in re
0.301 * [backup-simplify]: Simplify im into im
0.301 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.302 * [backup-simplify]: Simplify (* 1 1) into 1
0.302 * [backup-simplify]: Simplify (+ 1 0) into 1
0.302 * [backup-simplify]: Simplify (sqrt 1) into 1
0.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.304 * [backup-simplify]: Simplify (+ 0 0) into 0
0.304 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.304 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.304 * [taylor]: Taking taylor expansion of re in re
0.304 * [backup-simplify]: Simplify 0 into 0
0.304 * [backup-simplify]: Simplify 1 into 1
0.304 * [backup-simplify]: Simplify (/ 1 1) into 1
0.305 * [backup-simplify]: Simplify (+ 1 1) into 2
0.305 * [backup-simplify]: Simplify (sqrt 0) into 0
0.306 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.306 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.306 * [taylor]: Taking taylor expansion of 2.0 in re
0.306 * [backup-simplify]: Simplify 2.0 into 2.0
0.306 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.307 * [backup-simplify]: Simplify (* 0 (sqrt 2.0)) into 0
0.307 * [taylor]: Taking taylor expansion of 0 in im
0.307 * [backup-simplify]: Simplify 0 into 0
0.308 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.308 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.308 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.308 * [taylor]: Taking taylor expansion of +nan.0 in im
0.308 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.308 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.308 * [taylor]: Taking taylor expansion of 2.0 in im
0.308 * [backup-simplify]: Simplify 2.0 into 2.0
0.308 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.309 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.309 * [backup-simplify]: Simplify 0 into 0
0.309 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.310 * [backup-simplify]: Simplify (+ 0 0) into 0
0.312 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.314 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.314 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.314 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.314 * [taylor]: Taking taylor expansion of +nan.0 in im
0.314 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.314 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.314 * [taylor]: Taking taylor expansion of 2.0 in im
0.314 * [backup-simplify]: Simplify 2.0 into 2.0
0.315 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.316 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.317 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.318 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.318 * [backup-simplify]: Simplify 0 into 0
0.319 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.322 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
0.322 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.324 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.325 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.328 * [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))
0.330 * [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)))))
0.330 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
0.330 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
0.330 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.330 * [taylor]: Taking taylor expansion of +nan.0 in im
0.330 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.330 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.330 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.330 * [taylor]: Taking taylor expansion of 2.0 in im
0.330 * [backup-simplify]: Simplify 2.0 into 2.0
0.331 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.331 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.331 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.331 * [taylor]: Taking taylor expansion of im in im
0.331 * [backup-simplify]: Simplify 0 into 0
0.331 * [backup-simplify]: Simplify 1 into 1
0.332 * [backup-simplify]: Simplify (* 1 1) into 1
0.333 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.333 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.333 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.333 * [taylor]: Taking taylor expansion of +nan.0 in im
0.333 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.333 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.333 * [taylor]: Taking taylor expansion of 2.0 in im
0.333 * [backup-simplify]: Simplify 2.0 into 2.0
0.333 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.334 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.336 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.336 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.337 * [backup-simplify]: Simplify (+ 0 0) into 0
0.337 * [backup-simplify]: Simplify (- 0) into 0
0.337 * [backup-simplify]: Simplify 0 into 0
0.338 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.340 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.341 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.342 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.342 * [backup-simplify]: Simplify (- 0) into 0
0.342 * [backup-simplify]: Simplify 0 into 0
0.342 * [backup-simplify]: Simplify 0 into 0
0.344 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.347 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.347 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.347 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
0.347 * [backup-simplify]: Simplify (+ 0 0) into 0
0.348 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.349 * [backup-simplify]: Simplify (+ 0 0) into 0
0.350 * [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)))
0.351 * [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)))))
0.352 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
0.352 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
0.352 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.352 * [taylor]: Taking taylor expansion of +nan.0 in im
0.352 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.352 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.352 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.352 * [taylor]: Taking taylor expansion of 2.0 in im
0.352 * [backup-simplify]: Simplify 2.0 into 2.0
0.352 * [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 (pow im 2) 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
0.353 * [backup-simplify]: Simplify (* 1 1) into 1
0.353 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.353 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.353 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.353 * [taylor]: Taking taylor expansion of +nan.0 in im
0.353 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.353 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.353 * [taylor]: Taking taylor expansion of 2.0 in im
0.353 * [backup-simplify]: Simplify 2.0 into 2.0
0.354 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.354 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.355 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.355 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.356 * [backup-simplify]: Simplify (+ 0 0) into 0
0.356 * [backup-simplify]: Simplify (- 0) into 0
0.356 * [backup-simplify]: Simplify 0 into 0
0.357 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.358 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.359 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.360 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.361 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.362 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.363 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.369 * [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)))))))
0.369 * [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))))
0.369 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0
0.369 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im
0.369 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.369 * [taylor]: Taking taylor expansion of 2.0 in im
0.369 * [backup-simplify]: Simplify 2.0 into 2.0
0.370 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.370 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im
0.370 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
0.370 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
0.370 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.370 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
0.370 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
0.370 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.370 * [taylor]: Taking taylor expansion of -1 in im
0.370 * [backup-simplify]: Simplify -1 into -1
0.370 * [taylor]: Taking taylor expansion of re in im
0.370 * [backup-simplify]: Simplify re into re
0.370 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.370 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.370 * [taylor]: Taking taylor expansion of -1 in im
0.370 * [backup-simplify]: Simplify -1 into -1
0.370 * [taylor]: Taking taylor expansion of re in im
0.371 * [backup-simplify]: Simplify re into re
0.371 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.371 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
0.371 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.371 * [taylor]: Taking taylor expansion of -1 in im
0.371 * [backup-simplify]: Simplify -1 into -1
0.371 * [taylor]: Taking taylor expansion of im in im
0.371 * [backup-simplify]: Simplify 0 into 0
0.371 * [backup-simplify]: Simplify 1 into 1
0.371 * [backup-simplify]: Simplify (/ -1 1) into -1
0.371 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.371 * [taylor]: Taking taylor expansion of -1 in im
0.371 * [backup-simplify]: Simplify -1 into -1
0.371 * [taylor]: Taking taylor expansion of im in im
0.371 * [backup-simplify]: Simplify 0 into 0
0.371 * [backup-simplify]: Simplify 1 into 1
0.371 * [backup-simplify]: Simplify (/ -1 1) into -1
0.372 * [backup-simplify]: Simplify (* -1 -1) into 1
0.372 * [backup-simplify]: Simplify (+ 0 1) into 1
0.372 * [backup-simplify]: Simplify (sqrt 1) into 1
0.373 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.373 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.373 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.374 * [backup-simplify]: Simplify (+ 0 0) into 0
0.374 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.374 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.374 * [taylor]: Taking taylor expansion of re in im
0.374 * [backup-simplify]: Simplify re into re
0.374 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.375 * [backup-simplify]: Simplify (+ 1 0) into 1
0.375 * [backup-simplify]: Simplify (sqrt 0) into 0
0.376 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.376 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re
0.376 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.376 * [taylor]: Taking taylor expansion of 2.0 in re
0.376 * [backup-simplify]: Simplify 2.0 into 2.0
0.376 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.377 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.377 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
0.377 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
0.377 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.377 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.377 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.377 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.377 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.377 * [taylor]: Taking taylor expansion of -1 in re
0.377 * [backup-simplify]: Simplify -1 into -1
0.377 * [taylor]: Taking taylor expansion of re in re
0.377 * [backup-simplify]: Simplify 0 into 0
0.377 * [backup-simplify]: Simplify 1 into 1
0.378 * [backup-simplify]: Simplify (/ -1 1) into -1
0.378 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.378 * [taylor]: Taking taylor expansion of -1 in re
0.378 * [backup-simplify]: Simplify -1 into -1
0.378 * [taylor]: Taking taylor expansion of re in re
0.378 * [backup-simplify]: Simplify 0 into 0
0.378 * [backup-simplify]: Simplify 1 into 1
0.378 * [backup-simplify]: Simplify (/ -1 1) into -1
0.378 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.378 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.378 * [taylor]: Taking taylor expansion of -1 in re
0.378 * [backup-simplify]: Simplify -1 into -1
0.378 * [taylor]: Taking taylor expansion of im in re
0.379 * [backup-simplify]: Simplify im into im
0.379 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.379 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.379 * [taylor]: Taking taylor expansion of -1 in re
0.379 * [backup-simplify]: Simplify -1 into -1
0.379 * [taylor]: Taking taylor expansion of im in re
0.379 * [backup-simplify]: Simplify im into im
0.379 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.379 * [backup-simplify]: Simplify (* -1 -1) into 1
0.380 * [backup-simplify]: Simplify (+ 1 0) into 1
0.380 * [backup-simplify]: Simplify (sqrt 1) into 1
0.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.382 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.383 * [backup-simplify]: Simplify (+ 0 0) into 0
0.384 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.384 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.384 * [taylor]: Taking taylor expansion of re in re
0.384 * [backup-simplify]: Simplify 0 into 0
0.384 * [backup-simplify]: Simplify 1 into 1
0.384 * [backup-simplify]: Simplify (/ 1 1) into 1
0.385 * [backup-simplify]: Simplify (- 1) into -1
0.385 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.386 * [backup-simplify]: Simplify (- 0) into 0
0.386 * [backup-simplify]: Simplify (+ 0 0) into 0
0.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.388 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.389 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.390 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
0.390 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.391 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.393 * [backup-simplify]: Simplify (- 0) into 0
0.393 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.393 * [backup-simplify]: Simplify (sqrt 0) into 0
0.394 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.394 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re
0.394 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.394 * [taylor]: Taking taylor expansion of 2.0 in re
0.394 * [backup-simplify]: Simplify 2.0 into 2.0
0.395 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.395 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.395 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
0.395 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
0.395 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.396 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.396 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.396 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.396 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.396 * [taylor]: Taking taylor expansion of -1 in re
0.396 * [backup-simplify]: Simplify -1 into -1
0.396 * [taylor]: Taking taylor expansion of re in re
0.396 * [backup-simplify]: Simplify 0 into 0
0.396 * [backup-simplify]: Simplify 1 into 1
0.396 * [backup-simplify]: Simplify (/ -1 1) into -1
0.396 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.396 * [taylor]: Taking taylor expansion of -1 in re
0.397 * [backup-simplify]: Simplify -1 into -1
0.397 * [taylor]: Taking taylor expansion of re in re
0.397 * [backup-simplify]: Simplify 0 into 0
0.397 * [backup-simplify]: Simplify 1 into 1
0.397 * [backup-simplify]: Simplify (/ -1 1) into -1
0.397 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.397 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.397 * [taylor]: Taking taylor expansion of -1 in re
0.397 * [backup-simplify]: Simplify -1 into -1
0.397 * [taylor]: Taking taylor expansion of im in re
0.397 * [backup-simplify]: Simplify im into im
0.398 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.398 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.398 * [taylor]: Taking taylor expansion of -1 in re
0.398 * [backup-simplify]: Simplify -1 into -1
0.398 * [taylor]: Taking taylor expansion of im in re
0.398 * [backup-simplify]: Simplify im into im
0.398 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.398 * [backup-simplify]: Simplify (* -1 -1) into 1
0.399 * [backup-simplify]: Simplify (+ 1 0) into 1
0.399 * [backup-simplify]: Simplify (sqrt 1) into 1
0.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.401 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.402 * [backup-simplify]: Simplify (+ 0 0) into 0
0.403 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
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
0.403 * [backup-simplify]: Simplify (- 1) into -1
0.404 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.405 * [backup-simplify]: Simplify (- 0) into 0
0.405 * [backup-simplify]: Simplify (+ 0 0) into 0
0.406 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.407 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.408 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.408 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
0.409 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.410 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.411 * [backup-simplify]: Simplify (- 0) into 0
0.411 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.412 * [backup-simplify]: Simplify (sqrt 0) into 0
0.413 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.413 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.413 * [taylor]: Taking taylor expansion of 0 in im
0.413 * [backup-simplify]: Simplify 0 into 0
0.414 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
0.414 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.414 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.414 * [taylor]: Taking taylor expansion of +nan.0 in im
0.414 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.414 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.414 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.414 * [taylor]: Taking taylor expansion of 2.0 in im
0.414 * [backup-simplify]: Simplify 2.0 into 2.0
0.415 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.415 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.416 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.416 * [taylor]: Taking taylor expansion of im in im
0.416 * [backup-simplify]: Simplify 0 into 0
0.416 * [backup-simplify]: Simplify 1 into 1
0.416 * [backup-simplify]: Simplify (* 1 1) into 1
0.417 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.418 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.419 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.420 * [backup-simplify]: Simplify (- 0) into 0
0.420 * [backup-simplify]: Simplify 0 into 0
0.420 * [backup-simplify]: Simplify 0 into 0
0.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.423 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.423 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.423 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.423 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
0.424 * [backup-simplify]: Simplify (+ 0 0) into 0
0.425 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.426 * [backup-simplify]: Simplify (- 0) into 0
0.426 * [backup-simplify]: Simplify (+ 0 0) into 0
0.427 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
0.428 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.429 * [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))))
0.429 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
0.429 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.430 * [taylor]: Taking taylor expansion of +nan.0 in im
0.430 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.430 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.430 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.430 * [taylor]: Taking taylor expansion of 2.0 in im
0.430 * [backup-simplify]: Simplify 2.0 into 2.0
0.430 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.431 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.431 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.431 * [taylor]: Taking taylor expansion of im in im
0.431 * [backup-simplify]: Simplify 0 into 0
0.431 * [backup-simplify]: Simplify 1 into 1
0.431 * [backup-simplify]: Simplify (* 1 1) into 1
0.432 * [backup-simplify]: Simplify (* 1 1) into 1
0.432 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.434 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.435 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.439 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.442 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.443 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.444 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.445 * [backup-simplify]: Simplify (- 0) into 0
0.445 * [backup-simplify]: Simplify 0 into 0
0.446 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.448 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.449 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.449 * [backup-simplify]: Simplify (- 0) into 0
0.449 * [backup-simplify]: Simplify 0 into 0
0.449 * [backup-simplify]: Simplify 0 into 0
0.450 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.452 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
0.453 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
0.453 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
0.453 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0
0.454 * [backup-simplify]: Simplify (+ 0 0) into 0
0.455 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
0.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.457 * [backup-simplify]: Simplify (- 0) into 0
0.457 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
0.458 * [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))))))
0.459 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.461 * [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))))))
0.461 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
0.461 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
0.461 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.461 * [taylor]: Taking taylor expansion of +nan.0 in im
0.461 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.461 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.461 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.462 * [taylor]: Taking taylor expansion of 2.0 in im
0.462 * [backup-simplify]: Simplify 2.0 into 2.0
0.462 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.463 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.463 * [taylor]: Taking taylor expansion of im in im
0.463 * [backup-simplify]: Simplify 0 into 0
0.463 * [backup-simplify]: Simplify 1 into 1
0.463 * [backup-simplify]: Simplify (* 1 1) into 1
0.464 * [backup-simplify]: Simplify (* 1 1) into 1
0.464 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.465 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
0.465 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) 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 6)) 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 6) 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
0.466 * [backup-simplify]: Simplify (* 1 1) into 1
0.467 * [backup-simplify]: Simplify (* 1 1) into 1
0.467 * [backup-simplify]: Simplify (* 1 1) into 1
0.468 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.469 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.470 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.475 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.478 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.481 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.482 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.483 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.484 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.486 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.498 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.499 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.506 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.510 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.512 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
0.513 * [backup-simplify]: Simplify (- 0) into 0
0.513 * [backup-simplify]: Simplify (+ 0 0) into 0
0.514 * [backup-simplify]: Simplify (- 0) into 0
0.514 * [backup-simplify]: Simplify 0 into 0
0.514 * [backup-simplify]: Simplify 0 into 0
0.514 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 1 2)
0.514 * [backup-simplify]: Simplify (hypot re im) into (hypot re im)
0.514 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
0.514 * [taylor]: Taking taylor expansion of (hypot re im) in im
0.514 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.514 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
0.514 * [taylor]: Taking taylor expansion of (* re re) in im
0.514 * [taylor]: Taking taylor expansion of re in im
0.514 * [backup-simplify]: Simplify re into re
0.514 * [taylor]: Taking taylor expansion of re in im
0.514 * [backup-simplify]: Simplify re into re
0.514 * [taylor]: Taking taylor expansion of (* im im) in im
0.514 * [taylor]: Taking taylor expansion of im in im
0.514 * [backup-simplify]: Simplify 0 into 0
0.514 * [backup-simplify]: Simplify 1 into 1
0.515 * [taylor]: Taking taylor expansion of im in im
0.515 * [backup-simplify]: Simplify 0 into 0
0.515 * [backup-simplify]: Simplify 1 into 1
0.515 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.515 * [backup-simplify]: Simplify (* 0 0) into 0
0.515 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.515 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.516 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.516 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.517 * [backup-simplify]: Simplify (+ 0 0) into 0
0.517 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.517 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.517 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.517 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.517 * [taylor]: Taking taylor expansion of (* re re) in re
0.517 * [taylor]: Taking taylor expansion of re in re
0.517 * [backup-simplify]: Simplify 0 into 0
0.517 * [backup-simplify]: Simplify 1 into 1
0.517 * [taylor]: Taking taylor expansion of re in re
0.517 * [backup-simplify]: Simplify 0 into 0
0.517 * [backup-simplify]: Simplify 1 into 1
0.517 * [taylor]: Taking taylor expansion of (* im im) in re
0.517 * [taylor]: Taking taylor expansion of im in re
0.517 * [backup-simplify]: Simplify im into im
0.517 * [taylor]: Taking taylor expansion of im in re
0.517 * [backup-simplify]: Simplify im into im
0.518 * [backup-simplify]: Simplify (* 0 0) into 0
0.518 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.518 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.518 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.519 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.519 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.519 * [backup-simplify]: Simplify (+ 0 0) into 0
0.519 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.519 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.520 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.520 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.520 * [taylor]: Taking taylor expansion of (* re re) in re
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 * [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 * [taylor]: Taking taylor expansion of (* im im) in re
0.520 * [taylor]: Taking taylor expansion of im in re
0.520 * [backup-simplify]: Simplify im into im
0.520 * [taylor]: Taking taylor expansion of im in re
0.520 * [backup-simplify]: Simplify im into im
0.520 * [backup-simplify]: Simplify (* 0 0) into 0
0.520 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.521 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.521 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.521 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.522 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.522 * [backup-simplify]: Simplify (+ 0 0) into 0
0.522 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.522 * [taylor]: Taking taylor expansion of im in im
0.522 * [backup-simplify]: Simplify 0 into 0
0.522 * [backup-simplify]: Simplify 1 into 1
0.522 * [backup-simplify]: Simplify 0 into 0
0.522 * [taylor]: Taking taylor expansion of 0 in im
0.522 * [backup-simplify]: Simplify 0 into 0
0.522 * [backup-simplify]: Simplify 0 into 0
0.522 * [backup-simplify]: Simplify 1 into 1
0.523 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.524 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.524 * [backup-simplify]: Simplify (+ 1 0) into 1
0.525 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.525 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.525 * [taylor]: Taking taylor expansion of 1/2 in im
0.525 * [backup-simplify]: Simplify 1/2 into 1/2
0.525 * [taylor]: Taking taylor expansion of im in im
0.525 * [backup-simplify]: Simplify 0 into 0
0.526 * [backup-simplify]: Simplify 1 into 1
0.526 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.527 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.527 * [backup-simplify]: Simplify 0 into 0
0.527 * [backup-simplify]: Simplify 0 into 0
0.527 * [backup-simplify]: Simplify 0 into 0
0.528 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
0.529 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.529 * [backup-simplify]: Simplify (+ 0 0) into 0
0.529 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.529 * [taylor]: Taking taylor expansion of 0 in im
0.529 * [backup-simplify]: Simplify 0 into 0
0.529 * [backup-simplify]: Simplify 0 into 0
0.530 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.530 * [backup-simplify]: Simplify 0 into 0
0.531 * [backup-simplify]: Simplify 0 into 0
0.531 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.531 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
0.531 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
0.531 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
0.531 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.531 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
0.531 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
0.531 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.531 * [taylor]: Taking taylor expansion of re in im
0.531 * [backup-simplify]: Simplify re into re
0.531 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.531 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.531 * [taylor]: Taking taylor expansion of re in im
0.531 * [backup-simplify]: Simplify re into re
0.531 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.531 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
0.532 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.532 * [taylor]: Taking taylor expansion of im in im
0.532 * [backup-simplify]: Simplify 0 into 0
0.532 * [backup-simplify]: Simplify 1 into 1
0.532 * [backup-simplify]: Simplify (/ 1 1) into 1
0.532 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.532 * [taylor]: Taking taylor expansion of im in im
0.532 * [backup-simplify]: Simplify 0 into 0
0.532 * [backup-simplify]: Simplify 1 into 1
0.533 * [backup-simplify]: Simplify (/ 1 1) into 1
0.533 * [backup-simplify]: Simplify (* 1 1) into 1
0.533 * [backup-simplify]: Simplify (+ 0 1) into 1
0.534 * [backup-simplify]: Simplify (sqrt 1) into 1
0.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.536 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.536 * [backup-simplify]: Simplify (+ 0 0) into 0
0.537 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.537 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.537 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.537 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.537 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.537 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.537 * [taylor]: Taking taylor expansion of re in re
0.537 * [backup-simplify]: Simplify 0 into 0
0.537 * [backup-simplify]: Simplify 1 into 1
0.538 * [backup-simplify]: Simplify (/ 1 1) into 1
0.538 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.538 * [taylor]: Taking taylor expansion of re in re
0.538 * [backup-simplify]: Simplify 0 into 0
0.538 * [backup-simplify]: Simplify 1 into 1
0.538 * [backup-simplify]: Simplify (/ 1 1) into 1
0.538 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.538 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.538 * [taylor]: Taking taylor expansion of im in re
0.538 * [backup-simplify]: Simplify im into im
0.538 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.538 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.538 * [taylor]: Taking taylor expansion of im in re
0.538 * [backup-simplify]: Simplify im into im
0.538 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.539 * [backup-simplify]: Simplify (* 1 1) into 1
0.539 * [backup-simplify]: Simplify (+ 1 0) into 1
0.540 * [backup-simplify]: Simplify (sqrt 1) into 1
0.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.542 * [backup-simplify]: Simplify (+ 0 0) into 0
0.543 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.543 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.543 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.543 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.543 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.543 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.543 * [taylor]: Taking taylor expansion of re in re
0.543 * [backup-simplify]: Simplify 0 into 0
0.543 * [backup-simplify]: Simplify 1 into 1
0.544 * [backup-simplify]: Simplify (/ 1 1) into 1
0.544 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.544 * [taylor]: Taking taylor expansion of re in re
0.544 * [backup-simplify]: Simplify 0 into 0
0.544 * [backup-simplify]: Simplify 1 into 1
0.544 * [backup-simplify]: Simplify (/ 1 1) into 1
0.544 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.544 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.544 * [taylor]: Taking taylor expansion of im in re
0.544 * [backup-simplify]: Simplify im into im
0.544 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.544 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.545 * [taylor]: Taking taylor expansion of im in re
0.545 * [backup-simplify]: Simplify im into im
0.545 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.545 * [backup-simplify]: Simplify (* 1 1) into 1
0.545 * [backup-simplify]: Simplify (+ 1 0) into 1
0.546 * [backup-simplify]: Simplify (sqrt 1) into 1
0.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.548 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.548 * [backup-simplify]: Simplify (+ 0 0) into 0
0.549 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.549 * [taylor]: Taking taylor expansion of 1 in im
0.549 * [backup-simplify]: Simplify 1 into 1
0.549 * [taylor]: Taking taylor expansion of 0 in im
0.549 * [backup-simplify]: Simplify 0 into 0
0.549 * [backup-simplify]: Simplify 1 into 1
0.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.552 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
0.553 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.554 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.554 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.554 * [taylor]: Taking taylor expansion of 1/2 in im
0.554 * [backup-simplify]: Simplify 1/2 into 1/2
0.554 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.554 * [taylor]: Taking taylor expansion of im in im
0.554 * [backup-simplify]: Simplify 0 into 0
0.554 * [backup-simplify]: Simplify 1 into 1
0.555 * [backup-simplify]: Simplify (* 1 1) into 1
0.555 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.556 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.557 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.557 * [backup-simplify]: Simplify 0 into 0
0.557 * [backup-simplify]: Simplify 0 into 0
0.557 * [backup-simplify]: Simplify 0 into 0
0.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.560 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.560 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.560 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
0.561 * [backup-simplify]: Simplify (+ 0 0) into 0
0.561 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.561 * [taylor]: Taking taylor expansion of 0 in im
0.561 * [backup-simplify]: Simplify 0 into 0
0.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.563 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.563 * [backup-simplify]: Simplify 0 into 0
0.563 * [backup-simplify]: Simplify 0 into 0
0.563 * [backup-simplify]: Simplify 0 into 0
0.564 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.564 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
0.564 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
0.564 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
0.564 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.564 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
0.564 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
0.564 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.564 * [taylor]: Taking taylor expansion of -1 in im
0.564 * [backup-simplify]: Simplify -1 into -1
0.564 * [taylor]: Taking taylor expansion of re in im
0.564 * [backup-simplify]: Simplify re into re
0.564 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.564 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.564 * [taylor]: Taking taylor expansion of -1 in im
0.565 * [backup-simplify]: Simplify -1 into -1
0.565 * [taylor]: Taking taylor expansion of re in im
0.565 * [backup-simplify]: Simplify re into re
0.565 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.565 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
0.565 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.565 * [taylor]: Taking taylor expansion of -1 in im
0.565 * [backup-simplify]: Simplify -1 into -1
0.565 * [taylor]: Taking taylor expansion of im in im
0.565 * [backup-simplify]: Simplify 0 into 0
0.565 * [backup-simplify]: Simplify 1 into 1
0.565 * [backup-simplify]: Simplify (/ -1 1) into -1
0.565 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.565 * [taylor]: Taking taylor expansion of -1 in im
0.566 * [backup-simplify]: Simplify -1 into -1
0.566 * [taylor]: Taking taylor expansion of im in im
0.566 * [backup-simplify]: Simplify 0 into 0
0.566 * [backup-simplify]: Simplify 1 into 1
0.566 * [backup-simplify]: Simplify (/ -1 1) into -1
0.566 * [backup-simplify]: Simplify (* -1 -1) into 1
0.567 * [backup-simplify]: Simplify (+ 0 1) into 1
0.567 * [backup-simplify]: Simplify (sqrt 1) into 1
0.568 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.569 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.570 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.570 * [backup-simplify]: Simplify (+ 0 0) into 0
0.571 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.571 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.571 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.571 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.571 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.571 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.571 * [taylor]: Taking taylor expansion of -1 in re
0.571 * [backup-simplify]: Simplify -1 into -1
0.571 * [taylor]: Taking taylor expansion of re in re
0.571 * [backup-simplify]: Simplify 0 into 0
0.571 * [backup-simplify]: Simplify 1 into 1
0.572 * [backup-simplify]: Simplify (/ -1 1) into -1
0.572 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.572 * [taylor]: Taking taylor expansion of -1 in re
0.572 * [backup-simplify]: Simplify -1 into -1
0.572 * [taylor]: Taking taylor expansion of re in re
0.572 * [backup-simplify]: Simplify 0 into 0
0.572 * [backup-simplify]: Simplify 1 into 1
0.572 * [backup-simplify]: Simplify (/ -1 1) into -1
0.572 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.572 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.572 * [taylor]: Taking taylor expansion of -1 in re
0.572 * [backup-simplify]: Simplify -1 into -1
0.573 * [taylor]: Taking taylor expansion of im in re
0.573 * [backup-simplify]: Simplify im into im
0.573 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.573 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.573 * [taylor]: Taking taylor expansion of -1 in re
0.573 * [backup-simplify]: Simplify -1 into -1
0.573 * [taylor]: Taking taylor expansion of im in re
0.573 * [backup-simplify]: Simplify im into im
0.573 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.573 * [backup-simplify]: Simplify (* -1 -1) into 1
0.574 * [backup-simplify]: Simplify (+ 1 0) into 1
0.574 * [backup-simplify]: Simplify (sqrt 1) into 1
0.575 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.577 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.577 * [backup-simplify]: Simplify (+ 0 0) into 0
0.578 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.578 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.578 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.578 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.578 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.578 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.579 * [taylor]: Taking taylor expansion of -1 in re
0.579 * [backup-simplify]: Simplify -1 into -1
0.579 * [taylor]: Taking taylor expansion of re in re
0.579 * [backup-simplify]: Simplify 0 into 0
0.579 * [backup-simplify]: Simplify 1 into 1
0.579 * [backup-simplify]: Simplify (/ -1 1) into -1
0.579 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.579 * [taylor]: Taking taylor expansion of -1 in re
0.579 * [backup-simplify]: Simplify -1 into -1
0.579 * [taylor]: Taking taylor expansion of re in re
0.579 * [backup-simplify]: Simplify 0 into 0
0.579 * [backup-simplify]: Simplify 1 into 1
0.580 * [backup-simplify]: Simplify (/ -1 1) into -1
0.580 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.580 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.580 * [taylor]: Taking taylor expansion of -1 in re
0.580 * [backup-simplify]: Simplify -1 into -1
0.580 * [taylor]: Taking taylor expansion of im in re
0.580 * [backup-simplify]: Simplify im into im
0.580 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.580 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.580 * [taylor]: Taking taylor expansion of -1 in re
0.580 * [backup-simplify]: Simplify -1 into -1
0.580 * [taylor]: Taking taylor expansion of im in re
0.580 * [backup-simplify]: Simplify im into im
0.580 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.581 * [backup-simplify]: Simplify (* -1 -1) into 1
0.581 * [backup-simplify]: Simplify (+ 1 0) into 1
0.581 * [backup-simplify]: Simplify (sqrt 1) into 1
0.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.584 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.584 * [backup-simplify]: Simplify (+ 0 0) into 0
0.585 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.585 * [taylor]: Taking taylor expansion of 1 in im
0.585 * [backup-simplify]: Simplify 1 into 1
0.585 * [taylor]: Taking taylor expansion of 0 in im
0.585 * [backup-simplify]: Simplify 0 into 0
0.585 * [backup-simplify]: Simplify 1 into 1
0.586 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.587 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.588 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.588 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
0.589 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.590 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.590 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.590 * [taylor]: Taking taylor expansion of 1/2 in im
0.590 * [backup-simplify]: Simplify 1/2 into 1/2
0.590 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.590 * [taylor]: Taking taylor expansion of im in im
0.590 * [backup-simplify]: Simplify 0 into 0
0.590 * [backup-simplify]: Simplify 1 into 1
0.591 * [backup-simplify]: Simplify (* 1 1) into 1
0.591 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.592 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) 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 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.595 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.596 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.596 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.596 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.596 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
0.597 * [backup-simplify]: Simplify (+ 0 0) into 0
0.597 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.598 * [taylor]: Taking taylor expansion of 0 in im
0.598 * [backup-simplify]: Simplify 0 into 0
0.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.599 * [backup-simplify]: Simplify 0 into 0
0.600 * [backup-simplify]: Simplify 0 into 0
0.600 * [backup-simplify]: Simplify 0 into 0
0.600 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.600 * * * [progress]: simplifying candidates
0.601 * [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)) 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)))
  (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
  (- (+ (* +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)
0.603 * * [simplify]: Extracting # 0 : cost  0
0.603 * * [simplify]: Extracting # 1 : cost  0
0.603 * * [simplify]: Extracting # 2 : cost  0
0.603 * * [simplify]: Extracting # 3 : cost  0
0.603 * * [simplify]: Extracting # 4 : cost  0
0.603 * * [simplify]: Extracting # 5 : cost  0
0.604 * * [simplify]: Extracting # 6 : cost  0
0.604 * * [simplify]: Extracting # 7 : cost  0
0.604 * * [simplify]: Extracting # 8 : cost  0
0.604 * * [simplify]: Extracting # 9 : cost  0
0.605 * * [simplify]: Extracting # 10 : cost  0
0.605 * * [simplify]: iteration  0 :  86  enodes  (cost  414 )
0.622 * * [simplify]: Extracting # 0 : cost  0
0.622 * * [simplify]: Extracting # 1 : cost  0
0.623 * * [simplify]: Extracting # 2 : cost  0
0.623 * * [simplify]: Extracting # 3 : cost  0
0.623 * * [simplify]: Extracting # 4 : cost  0
0.623 * * [simplify]: iteration  1 :  187  enodes  (cost  377 )
0.676 * * [simplify]: Extracting # 0 : cost  0
0.677 * * [simplify]: Extracting # 1 : cost  0
0.678 * * [simplify]: Extracting # 2 : cost  0
0.678 * * [simplify]: Extracting # 3 : cost  0
0.679 * * [simplify]: Extracting # 4 : cost  0
0.680 * * [simplify]: iteration  2 :  617  enodes  (cost  354 )
1.338 * * [simplify]: Extracting # 0 : cost  0
1.345 * * [simplify]: Extracting # 1 : cost  0
1.355 * * [simplify]: Extracting # 2 : cost  0
1.363 * * [simplify]: Extracting # 3 : cost  0
1.372 * * [simplify]: Extracting # 4 : cost  0
1.378 * * [simplify]: iteration  3 :  3785  enodes  (cost  345 )
2.838 * * [simplify]: Extracting # 0 : cost  0
2.850 * * [simplify]: Extracting # 1 : cost  0
2.856 * * [simplify]: iteration done:  5000  enodes  (cost  344 )
2.856 * [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)) 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)))
  (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))
  (+ re im)
  (* 2 re)
  0
  (* (* +nan.0 (sqrt 2.0)) (fma (- re) re (- im re)))
  (fma (- (sqrt 2.0)) +nan.0 (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)))
  0
  im
  re
  (- re)
2.856 * * * [progress]: adding candidates to table
3.038 * * [progress]: iteration 2 / 4
3.038 * * * [progress]: picking best candidate
3.054 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (* (sqrt (+ re (hypot re im))) (sqrt 2.0))))>
3.054 * * * [progress]: localizing error
3.068 * * * [progress]: generating rewritten candidates
3.068 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1)
3.074 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2)
3.110 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2)
3.111 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
3.128 * * * [progress]: generating series expansions
3.128 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1)
3.128 * [backup-simplify]: Simplify (+ re (hypot re im)) into (+ re (hypot re im))
3.128 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0
3.128 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im
3.128 * [taylor]: Taking taylor expansion of re in im
3.128 * [backup-simplify]: Simplify re into re
3.128 * [taylor]: Taking taylor expansion of (hypot re im) in im
3.128 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.128 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
3.128 * [taylor]: Taking taylor expansion of (* re re) in im
3.128 * [taylor]: Taking taylor expansion of re in im
3.128 * [backup-simplify]: Simplify re into re
3.128 * [taylor]: Taking taylor expansion of re in im
3.128 * [backup-simplify]: Simplify re into re
3.128 * [taylor]: Taking taylor expansion of (* im im) in im
3.128 * [taylor]: Taking taylor expansion of im in im
3.128 * [backup-simplify]: Simplify 0 into 0
3.128 * [backup-simplify]: Simplify 1 into 1
3.128 * [taylor]: Taking taylor expansion of im in im
3.128 * [backup-simplify]: Simplify 0 into 0
3.128 * [backup-simplify]: Simplify 1 into 1
3.128 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.129 * [backup-simplify]: Simplify (* 0 0) into 0
3.129 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
3.129 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.129 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.129 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.130 * [backup-simplify]: Simplify (+ 0 0) into 0
3.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.130 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
3.130 * [taylor]: Taking taylor expansion of re in re
3.130 * [backup-simplify]: Simplify 0 into 0
3.130 * [backup-simplify]: Simplify 1 into 1
3.130 * [taylor]: Taking taylor expansion of (hypot re im) in re
3.130 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.130 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
3.130 * [taylor]: Taking taylor expansion of (* re re) in re
3.130 * [taylor]: Taking taylor expansion of re in re
3.130 * [backup-simplify]: Simplify 0 into 0
3.130 * [backup-simplify]: Simplify 1 into 1
3.130 * [taylor]: Taking taylor expansion of re in re
3.130 * [backup-simplify]: Simplify 0 into 0
3.130 * [backup-simplify]: Simplify 1 into 1
3.130 * [taylor]: Taking taylor expansion of (* im im) in re
3.130 * [taylor]: Taking taylor expansion of im in re
3.130 * [backup-simplify]: Simplify im into im
3.130 * [taylor]: Taking taylor expansion of im in re
3.130 * [backup-simplify]: Simplify im into im
3.131 * [backup-simplify]: Simplify (* 0 0) into 0
3.131 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.131 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.131 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.131 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.131 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.132 * [backup-simplify]: Simplify (+ 0 0) into 0
3.132 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.132 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
3.132 * [taylor]: Taking taylor expansion of re in re
3.132 * [backup-simplify]: Simplify 0 into 0
3.132 * [backup-simplify]: Simplify 1 into 1
3.132 * [taylor]: Taking taylor expansion of (hypot re im) in re
3.132 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.132 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
3.132 * [taylor]: Taking taylor expansion of (* re re) in re
3.132 * [taylor]: Taking taylor expansion of re in re
3.132 * [backup-simplify]: Simplify 0 into 0
3.132 * [backup-simplify]: Simplify 1 into 1
3.132 * [taylor]: Taking taylor expansion of re in re
3.132 * [backup-simplify]: Simplify 0 into 0
3.132 * [backup-simplify]: Simplify 1 into 1
3.132 * [taylor]: Taking taylor expansion of (* im im) in re
3.132 * [taylor]: Taking taylor expansion of im in re
3.132 * [backup-simplify]: Simplify im into im
3.132 * [taylor]: Taking taylor expansion of im in re
3.132 * [backup-simplify]: Simplify im into im
3.132 * [backup-simplify]: Simplify (* 0 0) into 0
3.132 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.132 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.133 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.133 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.133 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.133 * [backup-simplify]: Simplify (+ 0 0) into 0
3.133 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.133 * [backup-simplify]: Simplify (+ 0 im) into im
3.133 * [taylor]: Taking taylor expansion of im in im
3.133 * [backup-simplify]: Simplify 0 into 0
3.133 * [backup-simplify]: Simplify 1 into 1
3.133 * [backup-simplify]: Simplify 0 into 0
3.134 * [backup-simplify]: Simplify (+ 1 0) into 1
3.134 * [taylor]: Taking taylor expansion of 1 in im
3.134 * [backup-simplify]: Simplify 1 into 1
3.134 * [backup-simplify]: Simplify 1 into 1
3.134 * [backup-simplify]: Simplify 1 into 1
3.134 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
3.135 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.135 * [backup-simplify]: Simplify (+ 1 0) into 1
3.135 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.135 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
3.135 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
3.135 * [taylor]: Taking taylor expansion of 1/2 in im
3.135 * [backup-simplify]: Simplify 1/2 into 1/2
3.135 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.135 * [taylor]: Taking taylor expansion of im in im
3.135 * [backup-simplify]: Simplify 0 into 0
3.135 * [backup-simplify]: Simplify 1 into 1
3.136 * [backup-simplify]: Simplify (/ 1 1) into 1
3.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.137 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.137 * [backup-simplify]: Simplify 0 into 0
3.137 * [backup-simplify]: Simplify 0 into 0
3.137 * [backup-simplify]: Simplify 0 into 0
3.137 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
3.138 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.138 * [backup-simplify]: Simplify (+ 0 0) into 0
3.138 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.138 * [backup-simplify]: Simplify (+ 0 0) into 0
3.138 * [taylor]: Taking taylor expansion of 0 in im
3.138 * [backup-simplify]: Simplify 0 into 0
3.138 * [backup-simplify]: Simplify 0 into 0
3.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.139 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.140 * [backup-simplify]: Simplify 0 into 0
3.140 * [backup-simplify]: Simplify 0 into 0
3.140 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
3.140 * [backup-simplify]: Simplify (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) into (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))
3.140 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0
3.140 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
3.140 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
3.140 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.140 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
3.140 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
3.140 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.140 * [taylor]: Taking taylor expansion of re in im
3.140 * [backup-simplify]: Simplify re into re
3.140 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.140 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.140 * [taylor]: Taking taylor expansion of re in im
3.140 * [backup-simplify]: Simplify re into re
3.140 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.140 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
3.140 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.140 * [taylor]: Taking taylor expansion of im in im
3.140 * [backup-simplify]: Simplify 0 into 0
3.140 * [backup-simplify]: Simplify 1 into 1
3.140 * [backup-simplify]: Simplify (/ 1 1) into 1
3.141 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.141 * [taylor]: Taking taylor expansion of im in im
3.141 * [backup-simplify]: Simplify 0 into 0
3.141 * [backup-simplify]: Simplify 1 into 1
3.141 * [backup-simplify]: Simplify (/ 1 1) into 1
3.141 * [backup-simplify]: Simplify (* 1 1) into 1
3.141 * [backup-simplify]: Simplify (+ 0 1) into 1
3.142 * [backup-simplify]: Simplify (sqrt 1) into 1
3.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.143 * [backup-simplify]: Simplify (+ 0 0) into 0
3.143 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.143 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.143 * [taylor]: Taking taylor expansion of re in im
3.144 * [backup-simplify]: Simplify re into re
3.144 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.144 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
3.144 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
3.144 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.144 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
3.144 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
3.144 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.144 * [taylor]: Taking taylor expansion of re in re
3.144 * [backup-simplify]: Simplify 0 into 0
3.144 * [backup-simplify]: Simplify 1 into 1
3.144 * [backup-simplify]: Simplify (/ 1 1) into 1
3.144 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.144 * [taylor]: Taking taylor expansion of re in re
3.144 * [backup-simplify]: Simplify 0 into 0
3.144 * [backup-simplify]: Simplify 1 into 1
3.144 * [backup-simplify]: Simplify (/ 1 1) into 1
3.144 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
3.144 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.144 * [taylor]: Taking taylor expansion of im in re
3.144 * [backup-simplify]: Simplify im into im
3.144 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.144 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.145 * [taylor]: Taking taylor expansion of im in re
3.145 * [backup-simplify]: Simplify im into im
3.145 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.145 * [backup-simplify]: Simplify (* 1 1) into 1
3.145 * [backup-simplify]: Simplify (+ 1 0) into 1
3.145 * [backup-simplify]: Simplify (sqrt 1) into 1
3.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.147 * [backup-simplify]: Simplify (+ 0 0) into 0
3.147 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.147 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.147 * [taylor]: Taking taylor expansion of re in re
3.147 * [backup-simplify]: Simplify 0 into 0
3.147 * [backup-simplify]: Simplify 1 into 1
3.147 * [backup-simplify]: Simplify (/ 1 1) into 1
3.147 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
3.147 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
3.148 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.148 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
3.148 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
3.148 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.148 * [taylor]: Taking taylor expansion of re in re
3.148 * [backup-simplify]: Simplify 0 into 0
3.148 * [backup-simplify]: Simplify 1 into 1
3.148 * [backup-simplify]: Simplify (/ 1 1) into 1
3.148 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.148 * [taylor]: Taking taylor expansion of re in re
3.148 * [backup-simplify]: Simplify 0 into 0
3.148 * [backup-simplify]: Simplify 1 into 1
3.148 * [backup-simplify]: Simplify (/ 1 1) into 1
3.148 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
3.148 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.148 * [taylor]: Taking taylor expansion of im in re
3.148 * [backup-simplify]: Simplify im into im
3.148 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.148 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.148 * [taylor]: Taking taylor expansion of im in re
3.148 * [backup-simplify]: Simplify im into im
3.148 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.149 * [backup-simplify]: Simplify (* 1 1) into 1
3.149 * [backup-simplify]: Simplify (+ 1 0) into 1
3.149 * [backup-simplify]: Simplify (sqrt 1) into 1
3.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.151 * [backup-simplify]: Simplify (+ 0 0) into 0
3.151 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.151 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.151 * [taylor]: Taking taylor expansion of re in re
3.151 * [backup-simplify]: Simplify 0 into 0
3.151 * [backup-simplify]: Simplify 1 into 1
3.151 * [backup-simplify]: Simplify (/ 1 1) into 1
3.152 * [backup-simplify]: Simplify (+ 1 1) into 2
3.152 * [taylor]: Taking taylor expansion of 2 in im
3.152 * [backup-simplify]: Simplify 2 into 2
3.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.152 * [backup-simplify]: Simplify (+ 0 0) into 0
3.152 * [taylor]: Taking taylor expansion of 0 in im
3.152 * [backup-simplify]: Simplify 0 into 0
3.152 * [backup-simplify]: Simplify 2 into 2
3.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.155 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
3.156 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.157 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.158 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.158 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.158 * [taylor]: Taking taylor expansion of 1/2 in im
3.158 * [backup-simplify]: Simplify 1/2 into 1/2
3.158 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.158 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.158 * [taylor]: Taking taylor expansion of im in im
3.158 * [backup-simplify]: Simplify 0 into 0
3.158 * [backup-simplify]: Simplify 1 into 1
3.159 * [backup-simplify]: Simplify (* 1 1) into 1
3.159 * [backup-simplify]: Simplify (/ 1 1) into 1
3.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.161 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.161 * [backup-simplify]: Simplify 0 into 0
3.161 * [backup-simplify]: Simplify 0 into 0
3.161 * [backup-simplify]: Simplify 0 into 0
3.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.164 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
3.164 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
3.165 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
3.165 * [backup-simplify]: Simplify (+ 0 0) into 0
3.166 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.167 * [backup-simplify]: Simplify (+ 0 0) into 0
3.167 * [taylor]: Taking taylor expansion of 0 in im
3.167 * [backup-simplify]: Simplify 0 into 0
3.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.170 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.170 * [backup-simplify]: Simplify 0 into 0
3.170 * [backup-simplify]: Simplify 0 into 0
3.170 * [backup-simplify]: Simplify 0 into 0
3.170 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
3.170 * [backup-simplify]: Simplify (+ (/ 1 (- re)) (hypot (/ 1 (- re)) (/ 1 (- im)))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
3.170 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
3.170 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
3.170 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
3.171 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.171 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
3.171 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
3.171 * [taylor]: Taking taylor expansion of (/ -1 re) in im
3.171 * [taylor]: Taking taylor expansion of -1 in im
3.171 * [backup-simplify]: Simplify -1 into -1
3.171 * [taylor]: Taking taylor expansion of re in im
3.171 * [backup-simplify]: Simplify re into re
3.171 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
3.171 * [taylor]: Taking taylor expansion of (/ -1 re) in im
3.171 * [taylor]: Taking taylor expansion of -1 in im
3.171 * [backup-simplify]: Simplify -1 into -1
3.171 * [taylor]: Taking taylor expansion of re in im
3.171 * [backup-simplify]: Simplify re into re
3.171 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
3.171 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
3.171 * [taylor]: Taking taylor expansion of (/ -1 im) in im
3.171 * [taylor]: Taking taylor expansion of -1 in im
3.171 * [backup-simplify]: Simplify -1 into -1
3.171 * [taylor]: Taking taylor expansion of im in im
3.171 * [backup-simplify]: Simplify 0 into 0
3.171 * [backup-simplify]: Simplify 1 into 1
3.172 * [backup-simplify]: Simplify (/ -1 1) into -1
3.172 * [taylor]: Taking taylor expansion of (/ -1 im) in im
3.172 * [taylor]: Taking taylor expansion of -1 in im
3.172 * [backup-simplify]: Simplify -1 into -1
3.172 * [taylor]: Taking taylor expansion of im in im
3.172 * [backup-simplify]: Simplify 0 into 0
3.172 * [backup-simplify]: Simplify 1 into 1
3.172 * [backup-simplify]: Simplify (/ -1 1) into -1
3.173 * [backup-simplify]: Simplify (* -1 -1) into 1
3.173 * [backup-simplify]: Simplify (+ 0 1) into 1
3.174 * [backup-simplify]: Simplify (sqrt 1) into 1
3.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.175 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.176 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.176 * [backup-simplify]: Simplify (+ 0 0) into 0
3.177 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.177 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.177 * [taylor]: Taking taylor expansion of re in im
3.177 * [backup-simplify]: Simplify re into re
3.177 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.177 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
3.177 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
3.177 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.177 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
3.177 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
3.177 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.178 * [taylor]: Taking taylor expansion of -1 in re
3.178 * [backup-simplify]: Simplify -1 into -1
3.178 * [taylor]: Taking taylor expansion of re in re
3.178 * [backup-simplify]: Simplify 0 into 0
3.178 * [backup-simplify]: Simplify 1 into 1
3.178 * [backup-simplify]: Simplify (/ -1 1) into -1
3.178 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.178 * [taylor]: Taking taylor expansion of -1 in re
3.178 * [backup-simplify]: Simplify -1 into -1
3.178 * [taylor]: Taking taylor expansion of re in re
3.178 * [backup-simplify]: Simplify 0 into 0
3.178 * [backup-simplify]: Simplify 1 into 1
3.179 * [backup-simplify]: Simplify (/ -1 1) into -1
3.179 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
3.179 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.179 * [taylor]: Taking taylor expansion of -1 in re
3.179 * [backup-simplify]: Simplify -1 into -1
3.179 * [taylor]: Taking taylor expansion of im in re
3.179 * [backup-simplify]: Simplify im into im
3.179 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.179 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.179 * [taylor]: Taking taylor expansion of -1 in re
3.179 * [backup-simplify]: Simplify -1 into -1
3.179 * [taylor]: Taking taylor expansion of im in re
3.179 * [backup-simplify]: Simplify im into im
3.179 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.179 * [backup-simplify]: Simplify (* -1 -1) into 1
3.180 * [backup-simplify]: Simplify (+ 1 0) into 1
3.180 * [backup-simplify]: Simplify (sqrt 1) into 1
3.181 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.182 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.183 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.183 * [backup-simplify]: Simplify (+ 0 0) into 0
3.184 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.184 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.184 * [taylor]: Taking taylor expansion of re in re
3.184 * [backup-simplify]: Simplify 0 into 0
3.184 * [backup-simplify]: Simplify 1 into 1
3.184 * [backup-simplify]: Simplify (/ 1 1) into 1
3.184 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
3.185 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
3.185 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.185 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
3.185 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
3.185 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.185 * [taylor]: Taking taylor expansion of -1 in re
3.185 * [backup-simplify]: Simplify -1 into -1
3.185 * [taylor]: Taking taylor expansion of re in re
3.185 * [backup-simplify]: Simplify 0 into 0
3.185 * [backup-simplify]: Simplify 1 into 1
3.185 * [backup-simplify]: Simplify (/ -1 1) into -1
3.185 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.185 * [taylor]: Taking taylor expansion of -1 in re
3.185 * [backup-simplify]: Simplify -1 into -1
3.185 * [taylor]: Taking taylor expansion of re in re
3.185 * [backup-simplify]: Simplify 0 into 0
3.186 * [backup-simplify]: Simplify 1 into 1
3.186 * [backup-simplify]: Simplify (/ -1 1) into -1
3.186 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
3.186 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.186 * [taylor]: Taking taylor expansion of -1 in re
3.186 * [backup-simplify]: Simplify -1 into -1
3.186 * [taylor]: Taking taylor expansion of im in re
3.186 * [backup-simplify]: Simplify im into im
3.186 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.186 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.186 * [taylor]: Taking taylor expansion of -1 in re
3.186 * [backup-simplify]: Simplify -1 into -1
3.186 * [taylor]: Taking taylor expansion of im in re
3.186 * [backup-simplify]: Simplify im into im
3.186 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.187 * [backup-simplify]: Simplify (* -1 -1) into 1
3.187 * [backup-simplify]: Simplify (+ 1 0) into 1
3.188 * [backup-simplify]: Simplify (sqrt 1) into 1
3.188 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.189 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.190 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.190 * [backup-simplify]: Simplify (+ 0 0) into 0
3.191 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.191 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.191 * [taylor]: Taking taylor expansion of re in re
3.191 * [backup-simplify]: Simplify 0 into 0
3.191 * [backup-simplify]: Simplify 1 into 1
3.191 * [backup-simplify]: Simplify (/ 1 1) into 1
3.192 * [backup-simplify]: Simplify (- 1) into -1
3.192 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.192 * [taylor]: Taking taylor expansion of 0 in im
3.192 * [backup-simplify]: Simplify 0 into 0
3.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.193 * [backup-simplify]: Simplify (- 0) into 0
3.194 * [backup-simplify]: Simplify (+ 0 0) into 0
3.194 * [taylor]: Taking taylor expansion of 0 in im
3.194 * [backup-simplify]: Simplify 0 into 0
3.194 * [backup-simplify]: Simplify 0 into 0
3.195 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.197 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
3.197 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
3.197 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.198 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.200 * [backup-simplify]: Simplify (- 0) into 0
3.200 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.200 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.200 * [taylor]: Taking taylor expansion of 1/2 in im
3.200 * [backup-simplify]: Simplify 1/2 into 1/2
3.200 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.200 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.200 * [taylor]: Taking taylor expansion of im in im
3.200 * [backup-simplify]: Simplify 0 into 0
3.200 * [backup-simplify]: Simplify 1 into 1
3.200 * [backup-simplify]: Simplify (* 1 1) into 1
3.201 * [backup-simplify]: Simplify (/ 1 1) into 1
3.201 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.203 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.203 * [backup-simplify]: Simplify 0 into 0
3.203 * [backup-simplify]: Simplify 0 into 0
3.203 * [backup-simplify]: Simplify 0 into 0
3.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.205 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.205 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
3.205 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
3.205 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
3.206 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
3.206 * [backup-simplify]: Simplify (+ 0 0) into 0
3.206 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.207 * [backup-simplify]: Simplify (- 0) into 0
3.207 * [backup-simplify]: Simplify (+ 0 0) into 0
3.207 * [taylor]: Taking taylor expansion of 0 in im
3.207 * [backup-simplify]: Simplify 0 into 0
3.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.209 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.209 * [backup-simplify]: Simplify 0 into 0
3.209 * [backup-simplify]: Simplify 0 into 0
3.209 * [backup-simplify]: Simplify 0 into 0
3.209 * * * * [progress]: [ 2 / 4 ] generating series at (2 2)
3.209 * [backup-simplify]: Simplify (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) into (* (sqrt (+ re (hypot re im))) (sqrt 2.0))
3.209 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0
3.209 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im
3.209 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im
3.209 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im
3.209 * [taylor]: Taking taylor expansion of re in im
3.209 * [backup-simplify]: Simplify re into re
3.209 * [taylor]: Taking taylor expansion of (hypot re im) in im
3.210 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.210 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
3.210 * [taylor]: Taking taylor expansion of (* re re) in im
3.210 * [taylor]: Taking taylor expansion of re in im
3.210 * [backup-simplify]: Simplify re into re
3.210 * [taylor]: Taking taylor expansion of re in im
3.210 * [backup-simplify]: Simplify re into re
3.210 * [taylor]: Taking taylor expansion of (* im im) in im
3.210 * [taylor]: Taking taylor expansion of im in im
3.210 * [backup-simplify]: Simplify 0 into 0
3.210 * [backup-simplify]: Simplify 1 into 1
3.210 * [taylor]: Taking taylor expansion of im in im
3.210 * [backup-simplify]: Simplify 0 into 0
3.210 * [backup-simplify]: Simplify 1 into 1
3.210 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.210 * [backup-simplify]: Simplify (* 0 0) into 0
3.210 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
3.210 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.210 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.211 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.211 * [backup-simplify]: Simplify (+ 0 0) into 0
3.211 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.211 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
3.211 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
3.211 * [backup-simplify]: Simplify (+ 0 0) into 0
3.211 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
3.211 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.212 * [taylor]: Taking taylor expansion of 2.0 in im
3.212 * [backup-simplify]: Simplify 2.0 into 2.0
3.212 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.212 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.212 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re
3.212 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re
3.212 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
3.212 * [taylor]: Taking taylor expansion of re in re
3.212 * [backup-simplify]: Simplify 0 into 0
3.212 * [backup-simplify]: Simplify 1 into 1
3.212 * [taylor]: Taking taylor expansion of (hypot re im) in re
3.212 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.212 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
3.212 * [taylor]: Taking taylor expansion of (* re re) in re
3.212 * [taylor]: Taking taylor expansion of re in re
3.212 * [backup-simplify]: Simplify 0 into 0
3.213 * [backup-simplify]: Simplify 1 into 1
3.213 * [taylor]: Taking taylor expansion of re in re
3.213 * [backup-simplify]: Simplify 0 into 0
3.213 * [backup-simplify]: Simplify 1 into 1
3.213 * [taylor]: Taking taylor expansion of (* im im) in re
3.213 * [taylor]: Taking taylor expansion of im in re
3.213 * [backup-simplify]: Simplify im into im
3.213 * [taylor]: Taking taylor expansion of im in re
3.213 * [backup-simplify]: Simplify im into im
3.213 * [backup-simplify]: Simplify (* 0 0) into 0
3.213 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.213 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.213 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.213 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.214 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.214 * [backup-simplify]: Simplify (+ 0 0) into 0
3.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.214 * [backup-simplify]: Simplify (+ 0 im) into im
3.214 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
3.214 * [backup-simplify]: Simplify (+ 1 0) into 1
3.214 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
3.214 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.214 * [taylor]: Taking taylor expansion of 2.0 in re
3.214 * [backup-simplify]: Simplify 2.0 into 2.0
3.215 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.215 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.215 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re
3.215 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re
3.215 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
3.215 * [taylor]: Taking taylor expansion of re in re
3.215 * [backup-simplify]: Simplify 0 into 0
3.215 * [backup-simplify]: Simplify 1 into 1
3.215 * [taylor]: Taking taylor expansion of (hypot re im) in re
3.215 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.215 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
3.215 * [taylor]: Taking taylor expansion of (* re re) in re
3.215 * [taylor]: Taking taylor expansion of re in re
3.215 * [backup-simplify]: Simplify 0 into 0
3.215 * [backup-simplify]: Simplify 1 into 1
3.215 * [taylor]: Taking taylor expansion of re in re
3.215 * [backup-simplify]: Simplify 0 into 0
3.215 * [backup-simplify]: Simplify 1 into 1
3.215 * [taylor]: Taking taylor expansion of (* im im) in re
3.215 * [taylor]: Taking taylor expansion of im in re
3.215 * [backup-simplify]: Simplify im into im
3.215 * [taylor]: Taking taylor expansion of im in re
3.215 * [backup-simplify]: Simplify im into im
3.216 * [backup-simplify]: Simplify (* 0 0) into 0
3.216 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.216 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.216 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.216 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.216 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.217 * [backup-simplify]: Simplify (+ 0 0) into 0
3.217 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.217 * [backup-simplify]: Simplify (+ 0 im) into im
3.217 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
3.217 * [backup-simplify]: Simplify (+ 1 0) into 1
3.217 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
3.217 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.217 * [taylor]: Taking taylor expansion of 2.0 in re
3.217 * [backup-simplify]: Simplify 2.0 into 2.0
3.217 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.218 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.218 * [backup-simplify]: Simplify (* (sqrt im) (sqrt 2.0)) into (* (sqrt 2.0) (sqrt im))
3.218 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
3.218 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.218 * [taylor]: Taking taylor expansion of 2.0 in im
3.218 * [backup-simplify]: Simplify 2.0 into 2.0
3.218 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.219 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.219 * [taylor]: Taking taylor expansion of (sqrt im) in im
3.219 * [taylor]: Taking taylor expansion of im in im
3.219 * [backup-simplify]: Simplify 0 into 0
3.219 * [backup-simplify]: Simplify 1 into 1
3.219 * [backup-simplify]: Simplify (sqrt 0) into 0
3.220 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.220 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
3.220 * [backup-simplify]: Simplify 0 into 0
3.221 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* (* 1/2 (sqrt (/ 1 im))) (sqrt 2.0))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
3.221 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
3.221 * [taylor]: Taking taylor expansion of 1/2 in im
3.221 * [backup-simplify]: Simplify 1/2 into 1/2
3.221 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
3.221 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.221 * [taylor]: Taking taylor expansion of 2.0 in im
3.221 * [backup-simplify]: Simplify 2.0 into 2.0
3.221 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.222 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.222 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
3.222 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.222 * [taylor]: Taking taylor expansion of im in im
3.222 * [backup-simplify]: Simplify 0 into 0
3.222 * [backup-simplify]: Simplify 1 into 1
3.222 * [backup-simplify]: Simplify (/ 1 1) into 1
3.222 * [backup-simplify]: Simplify (sqrt 0) into 0
3.223 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.224 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
3.224 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
3.231 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
3.232 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.233 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
3.235 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.235 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.236 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
3.236 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.236 * [backup-simplify]: Simplify (+ 1 0) into 1
3.237 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.237 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
3.237 * [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))))
3.238 * [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)))))
3.238 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
3.238 * [taylor]: Taking taylor expansion of 1/8 in im
3.238 * [backup-simplify]: Simplify 1/8 into 1/8
3.238 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
3.238 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.238 * [taylor]: Taking taylor expansion of 2.0 in im
3.238 * [backup-simplify]: Simplify 2.0 into 2.0
3.238 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.239 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
3.239 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
3.239 * [taylor]: Taking taylor expansion of (pow im 3) in im
3.239 * [taylor]: Taking taylor expansion of im in im
3.239 * [backup-simplify]: Simplify 0 into 0
3.239 * [backup-simplify]: Simplify 1 into 1
3.239 * [backup-simplify]: Simplify (* 1 1) into 1
3.239 * [backup-simplify]: Simplify (* 1 1) into 1
3.240 * [backup-simplify]: Simplify (/ 1 1) into 1
3.240 * [backup-simplify]: Simplify (sqrt 0) into 0
3.241 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.241 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.244 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
3.244 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.246 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
3.247 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
3.248 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
3.251 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
3.251 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.254 * [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)))))))
3.255 * [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))
3.255 * [approximate]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0
3.255 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im
3.255 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im
3.255 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
3.255 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
3.255 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.255 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
3.255 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
3.255 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.255 * [taylor]: Taking taylor expansion of re in im
3.255 * [backup-simplify]: Simplify re into re
3.255 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.255 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.255 * [taylor]: Taking taylor expansion of re in im
3.255 * [backup-simplify]: Simplify re into re
3.255 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.255 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
3.255 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.255 * [taylor]: Taking taylor expansion of im in im
3.255 * [backup-simplify]: Simplify 0 into 0
3.255 * [backup-simplify]: Simplify 1 into 1
3.256 * [backup-simplify]: Simplify (/ 1 1) into 1
3.256 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.256 * [taylor]: Taking taylor expansion of im in im
3.256 * [backup-simplify]: Simplify 0 into 0
3.256 * [backup-simplify]: Simplify 1 into 1
3.256 * [backup-simplify]: Simplify (/ 1 1) into 1
3.256 * [backup-simplify]: Simplify (* 1 1) into 1
3.256 * [backup-simplify]: Simplify (+ 0 1) into 1
3.257 * [backup-simplify]: Simplify (sqrt 1) into 1
3.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.258 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.258 * [backup-simplify]: Simplify (+ 0 0) into 0
3.258 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.259 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.259 * [taylor]: Taking taylor expansion of re in im
3.259 * [backup-simplify]: Simplify re into re
3.259 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.259 * [backup-simplify]: Simplify (+ 1 0) into 1
3.259 * [backup-simplify]: Simplify (sqrt 0) into 0
3.260 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.260 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.260 * [taylor]: Taking taylor expansion of 2.0 in im
3.260 * [backup-simplify]: Simplify 2.0 into 2.0
3.260 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.261 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re
3.261 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re
3.261 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
3.261 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
3.261 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.261 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
3.261 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
3.261 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.261 * [taylor]: Taking taylor expansion of re in re
3.261 * [backup-simplify]: Simplify 0 into 0
3.261 * [backup-simplify]: Simplify 1 into 1
3.262 * [backup-simplify]: Simplify (/ 1 1) into 1
3.262 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.262 * [taylor]: Taking taylor expansion of re in re
3.262 * [backup-simplify]: Simplify 0 into 0
3.262 * [backup-simplify]: Simplify 1 into 1
3.262 * [backup-simplify]: Simplify (/ 1 1) into 1
3.262 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
3.262 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.262 * [taylor]: Taking taylor expansion of im in re
3.262 * [backup-simplify]: Simplify im into im
3.262 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.262 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.262 * [taylor]: Taking taylor expansion of im in re
3.262 * [backup-simplify]: Simplify im into im
3.262 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.263 * [backup-simplify]: Simplify (* 1 1) into 1
3.263 * [backup-simplify]: Simplify (+ 1 0) into 1
3.263 * [backup-simplify]: Simplify (sqrt 1) into 1
3.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.265 * [backup-simplify]: Simplify (+ 0 0) into 0
3.266 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.266 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.266 * [taylor]: Taking taylor expansion of re in re
3.266 * [backup-simplify]: Simplify 0 into 0
3.266 * [backup-simplify]: Simplify 1 into 1
3.266 * [backup-simplify]: Simplify (/ 1 1) into 1
3.267 * [backup-simplify]: Simplify (+ 1 1) into 2
3.267 * [backup-simplify]: Simplify (sqrt 0) into 0
3.269 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
3.269 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.269 * [taylor]: Taking taylor expansion of 2.0 in re
3.269 * [backup-simplify]: Simplify 2.0 into 2.0
3.269 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.270 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.270 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re
3.270 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re
3.270 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
3.270 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
3.270 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.270 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
3.270 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
3.270 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.270 * [taylor]: Taking taylor expansion of re in re
3.270 * [backup-simplify]: Simplify 0 into 0
3.270 * [backup-simplify]: Simplify 1 into 1
3.271 * [backup-simplify]: Simplify (/ 1 1) into 1
3.271 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.271 * [taylor]: Taking taylor expansion of re in re
3.271 * [backup-simplify]: Simplify 0 into 0
3.271 * [backup-simplify]: Simplify 1 into 1
3.271 * [backup-simplify]: Simplify (/ 1 1) into 1
3.271 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
3.271 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.271 * [taylor]: Taking taylor expansion of im in re
3.271 * [backup-simplify]: Simplify im into im
3.272 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.272 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.272 * [taylor]: Taking taylor expansion of im in re
3.272 * [backup-simplify]: Simplify im into im
3.272 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.272 * [backup-simplify]: Simplify (* 1 1) into 1
3.273 * [backup-simplify]: Simplify (+ 1 0) into 1
3.273 * [backup-simplify]: Simplify (sqrt 1) into 1
3.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.275 * [backup-simplify]: Simplify (+ 0 0) into 0
3.276 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.276 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.276 * [taylor]: Taking taylor expansion of re in re
3.276 * [backup-simplify]: Simplify 0 into 0
3.276 * [backup-simplify]: Simplify 1 into 1
3.277 * [backup-simplify]: Simplify (/ 1 1) into 1
3.277 * [backup-simplify]: Simplify (+ 1 1) into 2
3.277 * [backup-simplify]: Simplify (sqrt 0) into 0
3.279 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
3.279 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.279 * [taylor]: Taking taylor expansion of 2.0 in re
3.279 * [backup-simplify]: Simplify 2.0 into 2.0
3.279 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.280 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.280 * [backup-simplify]: Simplify (* 0 (sqrt 2.0)) into 0
3.280 * [taylor]: Taking taylor expansion of 0 in im
3.280 * [backup-simplify]: Simplify 0 into 0
3.283 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.283 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
3.283 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
3.283 * [taylor]: Taking taylor expansion of +nan.0 in im
3.283 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.283 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.283 * [taylor]: Taking taylor expansion of 2.0 in im
3.283 * [backup-simplify]: Simplify 2.0 into 2.0
3.283 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.284 * [backup-simplify]: Simplify 0 into 0
3.285 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.286 * [backup-simplify]: Simplify (+ 0 0) into 0
3.290 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
3.293 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
3.293 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
3.293 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
3.293 * [taylor]: Taking taylor expansion of +nan.0 in im
3.293 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.293 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.293 * [taylor]: Taking taylor expansion of 2.0 in im
3.293 * [backup-simplify]: Simplify 2.0 into 2.0
3.294 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.295 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.295 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
3.297 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.299 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.299 * [backup-simplify]: Simplify 0 into 0
3.300 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.303 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
3.303 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.304 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.306 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.308 * [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))
3.310 * [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)))))
3.310 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
3.310 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
3.310 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
3.310 * [taylor]: Taking taylor expansion of +nan.0 in im
3.310 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.310 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
3.310 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.310 * [taylor]: Taking taylor expansion of 2.0 in im
3.310 * [backup-simplify]: Simplify 2.0 into 2.0
3.311 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.311 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.311 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.311 * [taylor]: Taking taylor expansion of im in im
3.311 * [backup-simplify]: Simplify 0 into 0
3.312 * [backup-simplify]: Simplify 1 into 1
3.312 * [backup-simplify]: Simplify (* 1 1) into 1
3.313 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.313 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
3.313 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
3.313 * [taylor]: Taking taylor expansion of +nan.0 in im
3.313 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.313 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.313 * [taylor]: Taking taylor expansion of 2.0 in im
3.313 * [backup-simplify]: Simplify 2.0 into 2.0
3.313 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.314 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.317 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
3.317 * [backup-simplify]: Simplify (+ 0 0) into 0
3.317 * [backup-simplify]: Simplify (- 0) into 0
3.318 * [backup-simplify]: Simplify 0 into 0
3.318 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
3.320 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.322 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.323 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
3.323 * [backup-simplify]: Simplify (- 0) into 0
3.323 * [backup-simplify]: Simplify 0 into 0
3.323 * [backup-simplify]: Simplify 0 into 0
3.324 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.328 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
3.328 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
3.328 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
3.328 * [backup-simplify]: Simplify (+ 0 0) into 0
3.329 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.330 * [backup-simplify]: Simplify (+ 0 0) into 0
3.332 * [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)))
3.335 * [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)))))
3.335 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
3.335 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
3.335 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
3.335 * [taylor]: Taking taylor expansion of +nan.0 in im
3.335 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.335 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
3.335 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.335 * [taylor]: Taking taylor expansion of 2.0 in im
3.335 * [backup-simplify]: Simplify 2.0 into 2.0
3.336 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.336 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.336 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.336 * [taylor]: Taking taylor expansion of im in im
3.336 * [backup-simplify]: Simplify 0 into 0
3.336 * [backup-simplify]: Simplify 1 into 1
3.337 * [backup-simplify]: Simplify (* 1 1) into 1
3.338 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.338 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
3.338 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
3.338 * [taylor]: Taking taylor expansion of +nan.0 in im
3.338 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.338 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.338 * [taylor]: Taking taylor expansion of 2.0 in im
3.338 * [backup-simplify]: Simplify 2.0 into 2.0
3.339 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.339 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.341 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.342 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
3.342 * [backup-simplify]: Simplify (+ 0 0) into 0
3.343 * [backup-simplify]: Simplify (- 0) into 0
3.343 * [backup-simplify]: Simplify 0 into 0
3.344 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.345 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.346 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
3.346 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
3.347 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.349 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
3.350 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
3.353 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.357 * [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)))))))
3.357 * [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))))
3.357 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0
3.357 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im
3.357 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.357 * [taylor]: Taking taylor expansion of 2.0 in im
3.357 * [backup-simplify]: Simplify 2.0 into 2.0
3.357 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.358 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.358 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im
3.358 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
3.358 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
3.358 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.358 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
3.358 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
3.358 * [taylor]: Taking taylor expansion of (/ -1 re) in im
3.358 * [taylor]: Taking taylor expansion of -1 in im
3.358 * [backup-simplify]: Simplify -1 into -1
3.358 * [taylor]: Taking taylor expansion of re in im
3.358 * [backup-simplify]: Simplify re into re
3.359 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
3.359 * [taylor]: Taking taylor expansion of (/ -1 re) in im
3.359 * [taylor]: Taking taylor expansion of -1 in im
3.359 * [backup-simplify]: Simplify -1 into -1
3.359 * [taylor]: Taking taylor expansion of re in im
3.359 * [backup-simplify]: Simplify re into re
3.359 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
3.359 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
3.359 * [taylor]: Taking taylor expansion of (/ -1 im) in im
3.359 * [taylor]: Taking taylor expansion of -1 in im
3.359 * [backup-simplify]: Simplify -1 into -1
3.359 * [taylor]: Taking taylor expansion of im in im
3.359 * [backup-simplify]: Simplify 0 into 0
3.359 * [backup-simplify]: Simplify 1 into 1
3.359 * [backup-simplify]: Simplify (/ -1 1) into -1
3.359 * [taylor]: Taking taylor expansion of (/ -1 im) in im
3.359 * [taylor]: Taking taylor expansion of -1 in im
3.359 * [backup-simplify]: Simplify -1 into -1
3.359 * [taylor]: Taking taylor expansion of im in im
3.359 * [backup-simplify]: Simplify 0 into 0
3.359 * [backup-simplify]: Simplify 1 into 1
3.359 * [backup-simplify]: Simplify (/ -1 1) into -1
3.360 * [backup-simplify]: Simplify (* -1 -1) into 1
3.360 * [backup-simplify]: Simplify (+ 0 1) into 1
3.360 * [backup-simplify]: Simplify (sqrt 1) into 1
3.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.362 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.362 * [backup-simplify]: Simplify (+ 0 0) into 0
3.362 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.362 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.362 * [taylor]: Taking taylor expansion of re in im
3.362 * [backup-simplify]: Simplify re into re
3.362 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.363 * [backup-simplify]: Simplify (+ 1 0) into 1
3.363 * [backup-simplify]: Simplify (sqrt 0) into 0
3.364 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.364 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re
3.364 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.364 * [taylor]: Taking taylor expansion of 2.0 in re
3.364 * [backup-simplify]: Simplify 2.0 into 2.0
3.364 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.364 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.364 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
3.365 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
3.365 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
3.365 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.365 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
3.365 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
3.365 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.365 * [taylor]: Taking taylor expansion of -1 in re
3.365 * [backup-simplify]: Simplify -1 into -1
3.365 * [taylor]: Taking taylor expansion of re in re
3.365 * [backup-simplify]: Simplify 0 into 0
3.365 * [backup-simplify]: Simplify 1 into 1
3.365 * [backup-simplify]: Simplify (/ -1 1) into -1
3.365 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.365 * [taylor]: Taking taylor expansion of -1 in re
3.365 * [backup-simplify]: Simplify -1 into -1
3.365 * [taylor]: Taking taylor expansion of re in re
3.365 * [backup-simplify]: Simplify 0 into 0
3.365 * [backup-simplify]: Simplify 1 into 1
3.365 * [backup-simplify]: Simplify (/ -1 1) into -1
3.365 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
3.365 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.366 * [taylor]: Taking taylor expansion of -1 in re
3.366 * [backup-simplify]: Simplify -1 into -1
3.366 * [taylor]: Taking taylor expansion of im in re
3.366 * [backup-simplify]: Simplify im into im
3.366 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.366 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.366 * [taylor]: Taking taylor expansion of -1 in re
3.366 * [backup-simplify]: Simplify -1 into -1
3.366 * [taylor]: Taking taylor expansion of im in re
3.366 * [backup-simplify]: Simplify im into im
3.366 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.366 * [backup-simplify]: Simplify (* -1 -1) into 1
3.366 * [backup-simplify]: Simplify (+ 1 0) into 1
3.366 * [backup-simplify]: Simplify (sqrt 1) into 1
3.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.368 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.368 * [backup-simplify]: Simplify (+ 0 0) into 0
3.368 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.368 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.369 * [taylor]: Taking taylor expansion of re in re
3.369 * [backup-simplify]: Simplify 0 into 0
3.369 * [backup-simplify]: Simplify 1 into 1
3.369 * [backup-simplify]: Simplify (/ 1 1) into 1
3.369 * [backup-simplify]: Simplify (- 1) into -1
3.369 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.370 * [backup-simplify]: Simplify (- 0) into 0
3.370 * [backup-simplify]: Simplify (+ 0 0) into 0
3.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.372 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
3.372 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
3.372 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.373 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.374 * [backup-simplify]: Simplify (- 0) into 0
3.374 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.374 * [backup-simplify]: Simplify (sqrt 0) into 0
3.374 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
3.375 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re
3.375 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.375 * [taylor]: Taking taylor expansion of 2.0 in re
3.375 * [backup-simplify]: Simplify 2.0 into 2.0
3.375 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.375 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.375 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
3.375 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
3.375 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
3.375 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.375 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
3.375 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
3.375 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.375 * [taylor]: Taking taylor expansion of -1 in re
3.375 * [backup-simplify]: Simplify -1 into -1
3.375 * [taylor]: Taking taylor expansion of re in re
3.376 * [backup-simplify]: Simplify 0 into 0
3.376 * [backup-simplify]: Simplify 1 into 1
3.376 * [backup-simplify]: Simplify (/ -1 1) into -1
3.376 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.376 * [taylor]: Taking taylor expansion of -1 in re
3.376 * [backup-simplify]: Simplify -1 into -1
3.376 * [taylor]: Taking taylor expansion of re in re
3.376 * [backup-simplify]: Simplify 0 into 0
3.376 * [backup-simplify]: Simplify 1 into 1
3.376 * [backup-simplify]: Simplify (/ -1 1) into -1
3.376 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
3.376 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.376 * [taylor]: Taking taylor expansion of -1 in re
3.376 * [backup-simplify]: Simplify -1 into -1
3.376 * [taylor]: Taking taylor expansion of im in re
3.376 * [backup-simplify]: Simplify im into im
3.376 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.376 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.376 * [taylor]: Taking taylor expansion of -1 in re
3.376 * [backup-simplify]: Simplify -1 into -1
3.376 * [taylor]: Taking taylor expansion of im in re
3.376 * [backup-simplify]: Simplify im into im
3.376 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.377 * [backup-simplify]: Simplify (* -1 -1) into 1
3.377 * [backup-simplify]: Simplify (+ 1 0) into 1
3.377 * [backup-simplify]: Simplify (sqrt 1) into 1
3.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.379 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.379 * [backup-simplify]: Simplify (+ 0 0) into 0
3.379 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.379 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.379 * [taylor]: Taking taylor expansion of re in re
3.379 * [backup-simplify]: Simplify 0 into 0
3.379 * [backup-simplify]: Simplify 1 into 1
3.380 * [backup-simplify]: Simplify (/ 1 1) into 1
3.380 * [backup-simplify]: Simplify (- 1) into -1
3.380 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.381 * [backup-simplify]: Simplify (- 0) into 0
3.381 * [backup-simplify]: Simplify (+ 0 0) into 0
3.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.383 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
3.383 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
3.383 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.384 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.385 * [backup-simplify]: Simplify (- 0) into 0
3.385 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.385 * [backup-simplify]: Simplify (sqrt 0) into 0
3.385 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
3.386 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
3.386 * [taylor]: Taking taylor expansion of 0 in im
3.386 * [backup-simplify]: Simplify 0 into 0
3.387 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
3.387 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
3.387 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
3.387 * [taylor]: Taking taylor expansion of +nan.0 in im
3.387 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.387 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
3.387 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.387 * [taylor]: Taking taylor expansion of 2.0 in im
3.387 * [backup-simplify]: Simplify 2.0 into 2.0
3.387 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.387 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.387 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.387 * [taylor]: Taking taylor expansion of im in im
3.387 * [backup-simplify]: Simplify 0 into 0
3.387 * [backup-simplify]: Simplify 1 into 1
3.388 * [backup-simplify]: Simplify (* 1 1) into 1
3.388 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.389 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.389 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.390 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
3.390 * [backup-simplify]: Simplify (- 0) into 0
3.390 * [backup-simplify]: Simplify 0 into 0
3.390 * [backup-simplify]: Simplify 0 into 0
3.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.392 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
3.392 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
3.392 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
3.392 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
3.392 * [backup-simplify]: Simplify (+ 0 0) into 0
3.393 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.394 * [backup-simplify]: Simplify (- 0) into 0
3.394 * [backup-simplify]: Simplify (+ 0 0) into 0
3.394 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
3.395 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.396 * [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))))
3.396 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
3.396 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
3.396 * [taylor]: Taking taylor expansion of +nan.0 in im
3.396 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.396 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
3.396 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.396 * [taylor]: Taking taylor expansion of 2.0 in im
3.396 * [backup-simplify]: Simplify 2.0 into 2.0
3.396 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.397 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.397 * [taylor]: Taking taylor expansion of (pow im 4) in im
3.397 * [taylor]: Taking taylor expansion of im in im
3.397 * [backup-simplify]: Simplify 0 into 0
3.397 * [backup-simplify]: Simplify 1 into 1
3.397 * [backup-simplify]: Simplify (* 1 1) into 1
3.397 * [backup-simplify]: Simplify (* 1 1) into 1
3.398 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.398 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.399 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.401 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.403 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.404 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.405 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
3.405 * [backup-simplify]: Simplify (- 0) into 0
3.405 * [backup-simplify]: Simplify 0 into 0
3.405 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.407 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.407 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
3.407 * [backup-simplify]: Simplify (- 0) into 0
3.407 * [backup-simplify]: Simplify 0 into 0
3.408 * [backup-simplify]: Simplify 0 into 0
3.408 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.409 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.409 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
3.410 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
3.410 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
3.410 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0
3.410 * [backup-simplify]: Simplify (+ 0 0) into 0
3.411 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
3.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.412 * [backup-simplify]: Simplify (- 0) into 0
3.412 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
3.413 * [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))))))
3.413 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.414 * [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))))))
3.414 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
3.414 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
3.414 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
3.415 * [taylor]: Taking taylor expansion of +nan.0 in im
3.415 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.415 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
3.415 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.415 * [taylor]: Taking taylor expansion of 2.0 in im
3.415 * [backup-simplify]: Simplify 2.0 into 2.0
3.415 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.415 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.415 * [taylor]: Taking taylor expansion of (pow im 4) in im
3.415 * [taylor]: Taking taylor expansion of im in im
3.415 * [backup-simplify]: Simplify 0 into 0
3.415 * [backup-simplify]: Simplify 1 into 1
3.416 * [backup-simplify]: Simplify (* 1 1) into 1
3.416 * [backup-simplify]: Simplify (* 1 1) into 1
3.416 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.416 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
3.416 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
3.416 * [taylor]: Taking taylor expansion of +nan.0 in im
3.416 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.416 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
3.416 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.417 * [taylor]: Taking taylor expansion of 2.0 in im
3.417 * [backup-simplify]: Simplify 2.0 into 2.0
3.417 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.417 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.417 * [taylor]: Taking taylor expansion of (pow im 6) in im
3.417 * [taylor]: Taking taylor expansion of im in im
3.417 * [backup-simplify]: Simplify 0 into 0
3.417 * [backup-simplify]: Simplify 1 into 1
3.418 * [backup-simplify]: Simplify (* 1 1) into 1
3.418 * [backup-simplify]: Simplify (* 1 1) into 1
3.418 * [backup-simplify]: Simplify (* 1 1) into 1
3.419 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.419 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.420 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.421 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.424 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.426 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
3.426 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.427 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.428 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.429 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
3.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
3.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
3.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.441 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.449 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.450 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.453 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
3.453 * [backup-simplify]: Simplify (- 0) into 0
3.453 * [backup-simplify]: Simplify (+ 0 0) into 0
3.454 * [backup-simplify]: Simplify (- 0) into 0
3.454 * [backup-simplify]: Simplify 0 into 0
3.454 * [backup-simplify]: Simplify 0 into 0
3.454 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2)
3.454 * [backup-simplify]: Simplify (hypot re im) into (hypot re im)
3.454 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
3.454 * [taylor]: Taking taylor expansion of (hypot re im) in im
3.454 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.454 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
3.454 * [taylor]: Taking taylor expansion of (* re re) in im
3.454 * [taylor]: Taking taylor expansion of re in im
3.454 * [backup-simplify]: Simplify re into re
3.454 * [taylor]: Taking taylor expansion of re in im
3.455 * [backup-simplify]: Simplify re into re
3.455 * [taylor]: Taking taylor expansion of (* im im) in im
3.455 * [taylor]: Taking taylor expansion of im in im
3.455 * [backup-simplify]: Simplify 0 into 0
3.455 * [backup-simplify]: Simplify 1 into 1
3.455 * [taylor]: Taking taylor expansion of im in im
3.455 * [backup-simplify]: Simplify 0 into 0
3.455 * [backup-simplify]: Simplify 1 into 1
3.455 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.455 * [backup-simplify]: Simplify (* 0 0) into 0
3.455 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
3.455 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.455 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.456 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.456 * [backup-simplify]: Simplify (+ 0 0) into 0
3.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.457 * [taylor]: Taking taylor expansion of (hypot re im) in re
3.457 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.457 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
3.457 * [taylor]: Taking taylor expansion of (* re re) in re
3.457 * [taylor]: Taking taylor expansion of re in re
3.457 * [backup-simplify]: Simplify 0 into 0
3.457 * [backup-simplify]: Simplify 1 into 1
3.457 * [taylor]: Taking taylor expansion of re in re
3.457 * [backup-simplify]: Simplify 0 into 0
3.457 * [backup-simplify]: Simplify 1 into 1
3.457 * [taylor]: Taking taylor expansion of (* im im) in re
3.457 * [taylor]: Taking taylor expansion of im in re
3.457 * [backup-simplify]: Simplify im into im
3.457 * [taylor]: Taking taylor expansion of im in re
3.457 * [backup-simplify]: Simplify im into im
3.457 * [backup-simplify]: Simplify (* 0 0) into 0
3.457 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.458 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.458 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.458 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.458 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.459 * [backup-simplify]: Simplify (+ 0 0) into 0
3.459 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.459 * [taylor]: Taking taylor expansion of (hypot re im) in re
3.459 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.459 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
3.459 * [taylor]: Taking taylor expansion of (* re re) in re
3.459 * [taylor]: Taking taylor expansion of re in re
3.459 * [backup-simplify]: Simplify 0 into 0
3.459 * [backup-simplify]: Simplify 1 into 1
3.459 * [taylor]: Taking taylor expansion of re in re
3.459 * [backup-simplify]: Simplify 0 into 0
3.459 * [backup-simplify]: Simplify 1 into 1
3.459 * [taylor]: Taking taylor expansion of (* im im) in re
3.459 * [taylor]: Taking taylor expansion of im in re
3.459 * [backup-simplify]: Simplify im into im
3.459 * [taylor]: Taking taylor expansion of im in re
3.459 * [backup-simplify]: Simplify im into im
3.460 * [backup-simplify]: Simplify (* 0 0) into 0
3.460 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.460 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.460 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.461 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.461 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.461 * [backup-simplify]: Simplify (+ 0 0) into 0
3.461 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.461 * [taylor]: Taking taylor expansion of im in im
3.461 * [backup-simplify]: Simplify 0 into 0
3.461 * [backup-simplify]: Simplify 1 into 1
3.461 * [backup-simplify]: Simplify 0 into 0
3.461 * [taylor]: Taking taylor expansion of 0 in im
3.461 * [backup-simplify]: Simplify 0 into 0
3.461 * [backup-simplify]: Simplify 0 into 0
3.461 * [backup-simplify]: Simplify 1 into 1
3.462 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
3.463 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.463 * [backup-simplify]: Simplify (+ 1 0) into 1
3.464 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.464 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
3.464 * [taylor]: Taking taylor expansion of 1/2 in im
3.464 * [backup-simplify]: Simplify 1/2 into 1/2
3.464 * [taylor]: Taking taylor expansion of im in im
3.464 * [backup-simplify]: Simplify 0 into 0
3.464 * [backup-simplify]: Simplify 1 into 1
3.464 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.465 * [backup-simplify]: Simplify 0 into 0
3.465 * [backup-simplify]: Simplify 0 into 0
3.465 * [backup-simplify]: Simplify 0 into 0
3.466 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
3.467 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.468 * [backup-simplify]: Simplify (+ 0 0) into 0
3.468 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.468 * [taylor]: Taking taylor expansion of 0 in im
3.468 * [backup-simplify]: Simplify 0 into 0
3.468 * [backup-simplify]: Simplify 0 into 0
3.469 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.469 * [backup-simplify]: Simplify 0 into 0
3.469 * [backup-simplify]: Simplify 0 into 0
3.469 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
3.470 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
3.470 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
3.470 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
3.470 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.470 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
3.470 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
3.470 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.470 * [taylor]: Taking taylor expansion of re in im
3.471 * [backup-simplify]: Simplify re into re
3.471 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.471 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.471 * [taylor]: Taking taylor expansion of re in im
3.471 * [backup-simplify]: Simplify re into re
3.471 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.471 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
3.471 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.471 * [taylor]: Taking taylor expansion of im in im
3.471 * [backup-simplify]: Simplify 0 into 0
3.471 * [backup-simplify]: Simplify 1 into 1
3.471 * [backup-simplify]: Simplify (/ 1 1) into 1
3.471 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.471 * [taylor]: Taking taylor expansion of im in im
3.471 * [backup-simplify]: Simplify 0 into 0
3.471 * [backup-simplify]: Simplify 1 into 1
3.472 * [backup-simplify]: Simplify (/ 1 1) into 1
3.472 * [backup-simplify]: Simplify (* 1 1) into 1
3.473 * [backup-simplify]: Simplify (+ 0 1) into 1
3.473 * [backup-simplify]: Simplify (sqrt 1) into 1
3.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.476 * [backup-simplify]: Simplify (+ 0 0) into 0
3.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.477 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
3.477 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.477 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
3.477 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
3.477 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.477 * [taylor]: Taking taylor expansion of re in re
3.477 * [backup-simplify]: Simplify 0 into 0
3.477 * [backup-simplify]: Simplify 1 into 1
3.478 * [backup-simplify]: Simplify (/ 1 1) into 1
3.478 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.478 * [taylor]: Taking taylor expansion of re in re
3.478 * [backup-simplify]: Simplify 0 into 0
3.478 * [backup-simplify]: Simplify 1 into 1
3.478 * [backup-simplify]: Simplify (/ 1 1) into 1
3.478 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
3.478 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.478 * [taylor]: Taking taylor expansion of im in re
3.478 * [backup-simplify]: Simplify im into im
3.478 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.478 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.478 * [taylor]: Taking taylor expansion of im in re
3.478 * [backup-simplify]: Simplify im into im
3.478 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.479 * [backup-simplify]: Simplify (* 1 1) into 1
3.479 * [backup-simplify]: Simplify (+ 1 0) into 1
3.479 * [backup-simplify]: Simplify (sqrt 1) into 1
3.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.481 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.482 * [backup-simplify]: Simplify (+ 0 0) into 0
3.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.483 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
3.483 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.483 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
3.483 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
3.483 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.483 * [taylor]: Taking taylor expansion of re in re
3.483 * [backup-simplify]: Simplify 0 into 0
3.483 * [backup-simplify]: Simplify 1 into 1
3.484 * [backup-simplify]: Simplify (/ 1 1) into 1
3.484 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.484 * [taylor]: Taking taylor expansion of re in re
3.484 * [backup-simplify]: Simplify 0 into 0
3.484 * [backup-simplify]: Simplify 1 into 1
3.484 * [backup-simplify]: Simplify (/ 1 1) into 1
3.484 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
3.484 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.484 * [taylor]: Taking taylor expansion of im in re
3.484 * [backup-simplify]: Simplify im into im
3.484 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.484 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.484 * [taylor]: Taking taylor expansion of im in re
3.484 * [backup-simplify]: Simplify im into im
3.484 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.485 * [backup-simplify]: Simplify (* 1 1) into 1
3.485 * [backup-simplify]: Simplify (+ 1 0) into 1
3.486 * [backup-simplify]: Simplify (sqrt 1) into 1
3.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.488 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.488 * [backup-simplify]: Simplify (+ 0 0) into 0
3.489 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.489 * [taylor]: Taking taylor expansion of 1 in im
3.489 * [backup-simplify]: Simplify 1 into 1
3.489 * [taylor]: Taking taylor expansion of 0 in im
3.489 * [backup-simplify]: Simplify 0 into 0
3.489 * [backup-simplify]: Simplify 1 into 1
3.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.492 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
3.492 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.493 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.493 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.493 * [taylor]: Taking taylor expansion of 1/2 in im
3.493 * [backup-simplify]: Simplify 1/2 into 1/2
3.493 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.493 * [taylor]: Taking taylor expansion of im in im
3.493 * [backup-simplify]: Simplify 0 into 0
3.493 * [backup-simplify]: Simplify 1 into 1
3.494 * [backup-simplify]: Simplify (* 1 1) into 1
3.494 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.496 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.496 * [backup-simplify]: Simplify 0 into 0
3.496 * [backup-simplify]: Simplify 0 into 0
3.496 * [backup-simplify]: Simplify 0 into 0
3.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.498 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
3.498 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
3.498 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
3.498 * [backup-simplify]: Simplify (+ 0 0) into 0
3.499 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.499 * [taylor]: Taking taylor expansion of 0 in im
3.499 * [backup-simplify]: Simplify 0 into 0
3.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.500 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.500 * [backup-simplify]: Simplify 0 into 0
3.500 * [backup-simplify]: Simplify 0 into 0
3.500 * [backup-simplify]: Simplify 0 into 0
3.500 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
3.500 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
3.500 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
3.500 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
3.500 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.500 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
3.500 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
3.500 * [taylor]: Taking taylor expansion of (/ -1 re) in im
3.500 * [taylor]: Taking taylor expansion of -1 in im
3.500 * [backup-simplify]: Simplify -1 into -1
3.500 * [taylor]: Taking taylor expansion of re in im
3.500 * [backup-simplify]: Simplify re into re
3.500 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
3.500 * [taylor]: Taking taylor expansion of (/ -1 re) in im
3.500 * [taylor]: Taking taylor expansion of -1 in im
3.500 * [backup-simplify]: Simplify -1 into -1
3.500 * [taylor]: Taking taylor expansion of re in im
3.500 * [backup-simplify]: Simplify re into re
3.500 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
3.501 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
3.501 * [taylor]: Taking taylor expansion of (/ -1 im) in im
3.501 * [taylor]: Taking taylor expansion of -1 in im
3.501 * [backup-simplify]: Simplify -1 into -1
3.501 * [taylor]: Taking taylor expansion of im in im
3.501 * [backup-simplify]: Simplify 0 into 0
3.501 * [backup-simplify]: Simplify 1 into 1
3.501 * [backup-simplify]: Simplify (/ -1 1) into -1
3.501 * [taylor]: Taking taylor expansion of (/ -1 im) in im
3.501 * [taylor]: Taking taylor expansion of -1 in im
3.501 * [backup-simplify]: Simplify -1 into -1
3.501 * [taylor]: Taking taylor expansion of im in im
3.501 * [backup-simplify]: Simplify 0 into 0
3.501 * [backup-simplify]: Simplify 1 into 1
3.501 * [backup-simplify]: Simplify (/ -1 1) into -1
3.501 * [backup-simplify]: Simplify (* -1 -1) into 1
3.502 * [backup-simplify]: Simplify (+ 0 1) into 1
3.502 * [backup-simplify]: Simplify (sqrt 1) into 1
3.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.503 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.504 * [backup-simplify]: Simplify (+ 0 0) into 0
3.504 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.504 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
3.504 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.504 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
3.504 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
3.504 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.504 * [taylor]: Taking taylor expansion of -1 in re
3.504 * [backup-simplify]: Simplify -1 into -1
3.504 * [taylor]: Taking taylor expansion of re in re
3.504 * [backup-simplify]: Simplify 0 into 0
3.504 * [backup-simplify]: Simplify 1 into 1
3.505 * [backup-simplify]: Simplify (/ -1 1) into -1
3.505 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.505 * [taylor]: Taking taylor expansion of -1 in re
3.505 * [backup-simplify]: Simplify -1 into -1
3.505 * [taylor]: Taking taylor expansion of re in re
3.505 * [backup-simplify]: Simplify 0 into 0
3.505 * [backup-simplify]: Simplify 1 into 1
3.505 * [backup-simplify]: Simplify (/ -1 1) into -1
3.505 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
3.505 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.505 * [taylor]: Taking taylor expansion of -1 in re
3.505 * [backup-simplify]: Simplify -1 into -1
3.505 * [taylor]: Taking taylor expansion of im in re
3.505 * [backup-simplify]: Simplify im into im
3.505 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.505 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.505 * [taylor]: Taking taylor expansion of -1 in re
3.505 * [backup-simplify]: Simplify -1 into -1
3.505 * [taylor]: Taking taylor expansion of im in re
3.505 * [backup-simplify]: Simplify im into im
3.505 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.505 * [backup-simplify]: Simplify (* -1 -1) into 1
3.506 * [backup-simplify]: Simplify (+ 1 0) into 1
3.506 * [backup-simplify]: Simplify (sqrt 1) into 1
3.506 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.507 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.507 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.508 * [backup-simplify]: Simplify (+ 0 0) into 0
3.508 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.508 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
3.508 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.508 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
3.508 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
3.508 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.508 * [taylor]: Taking taylor expansion of -1 in re
3.508 * [backup-simplify]: Simplify -1 into -1
3.508 * [taylor]: Taking taylor expansion of re in re
3.508 * [backup-simplify]: Simplify 0 into 0
3.508 * [backup-simplify]: Simplify 1 into 1
3.509 * [backup-simplify]: Simplify (/ -1 1) into -1
3.509 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.509 * [taylor]: Taking taylor expansion of -1 in re
3.509 * [backup-simplify]: Simplify -1 into -1
3.509 * [taylor]: Taking taylor expansion of re in re
3.509 * [backup-simplify]: Simplify 0 into 0
3.509 * [backup-simplify]: Simplify 1 into 1
3.509 * [backup-simplify]: Simplify (/ -1 1) into -1
3.509 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
3.509 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.509 * [taylor]: Taking taylor expansion of -1 in re
3.509 * [backup-simplify]: Simplify -1 into -1
3.509 * [taylor]: Taking taylor expansion of im in re
3.509 * [backup-simplify]: Simplify im into im
3.509 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.509 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.509 * [taylor]: Taking taylor expansion of -1 in re
3.509 * [backup-simplify]: Simplify -1 into -1
3.509 * [taylor]: Taking taylor expansion of im in re
3.509 * [backup-simplify]: Simplify im into im
3.509 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.509 * [backup-simplify]: Simplify (* -1 -1) into 1
3.510 * [backup-simplify]: Simplify (+ 1 0) into 1
3.510 * [backup-simplify]: Simplify (sqrt 1) into 1
3.510 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.511 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.512 * [backup-simplify]: Simplify (+ 0 0) into 0
3.512 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.512 * [taylor]: Taking taylor expansion of 1 in im
3.512 * [backup-simplify]: Simplify 1 into 1
3.512 * [taylor]: Taking taylor expansion of 0 in im
3.512 * [backup-simplify]: Simplify 0 into 0
3.512 * [backup-simplify]: Simplify 1 into 1
3.513 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.513 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.514 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
3.514 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
3.514 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.515 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.515 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.515 * [taylor]: Taking taylor expansion of 1/2 in im
3.515 * [backup-simplify]: Simplify 1/2 into 1/2
3.515 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.515 * [taylor]: Taking taylor expansion of im in im
3.515 * [backup-simplify]: Simplify 0 into 0
3.515 * [backup-simplify]: Simplify 1 into 1
3.515 * [backup-simplify]: Simplify (* 1 1) into 1
3.515 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.516 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.516 * [backup-simplify]: Simplify 0 into 0
3.516 * [backup-simplify]: Simplify 0 into 0
3.516 * [backup-simplify]: Simplify 0 into 0
3.517 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.518 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.518 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
3.518 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
3.518 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
3.519 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
3.519 * [backup-simplify]: Simplify (+ 0 0) into 0
3.519 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.519 * [taylor]: Taking taylor expansion of 0 in im
3.519 * [backup-simplify]: Simplify 0 into 0
3.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.520 * [backup-simplify]: Simplify 0 into 0
3.520 * [backup-simplify]: Simplify 0 into 0
3.520 * [backup-simplify]: Simplify 0 into 0
3.521 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
3.521 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
3.521 * [backup-simplify]: Simplify (sqrt (+ re (hypot re im))) into (sqrt (+ re (hypot re im)))
3.521 * [approximate]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in (re im) around 0
3.521 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im
3.521 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im
3.521 * [taylor]: Taking taylor expansion of re in im
3.521 * [backup-simplify]: Simplify re into re
3.521 * [taylor]: Taking taylor expansion of (hypot re im) in im
3.521 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.521 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
3.521 * [taylor]: Taking taylor expansion of (* re re) in im
3.521 * [taylor]: Taking taylor expansion of re in im
3.521 * [backup-simplify]: Simplify re into re
3.521 * [taylor]: Taking taylor expansion of re in im
3.521 * [backup-simplify]: Simplify re into re
3.521 * [taylor]: Taking taylor expansion of (* im im) in im
3.521 * [taylor]: Taking taylor expansion of im in im
3.521 * [backup-simplify]: Simplify 0 into 0
3.521 * [backup-simplify]: Simplify 1 into 1
3.521 * [taylor]: Taking taylor expansion of im in im
3.521 * [backup-simplify]: Simplify 0 into 0
3.521 * [backup-simplify]: Simplify 1 into 1
3.521 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.521 * [backup-simplify]: Simplify (* 0 0) into 0
3.521 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
3.522 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.522 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.522 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.522 * [backup-simplify]: Simplify (+ 0 0) into 0
3.522 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.522 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
3.522 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
3.523 * [backup-simplify]: Simplify (+ 0 0) into 0
3.523 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
3.523 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re
3.523 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
3.523 * [taylor]: Taking taylor expansion of re in re
3.523 * [backup-simplify]: Simplify 0 into 0
3.523 * [backup-simplify]: Simplify 1 into 1
3.523 * [taylor]: Taking taylor expansion of (hypot re im) in re
3.523 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.523 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
3.523 * [taylor]: Taking taylor expansion of (* re re) in re
3.523 * [taylor]: Taking taylor expansion of re in re
3.523 * [backup-simplify]: Simplify 0 into 0
3.523 * [backup-simplify]: Simplify 1 into 1
3.523 * [taylor]: Taking taylor expansion of re in re
3.523 * [backup-simplify]: Simplify 0 into 0
3.523 * [backup-simplify]: Simplify 1 into 1
3.523 * [taylor]: Taking taylor expansion of (* im im) in re
3.523 * [taylor]: Taking taylor expansion of im in re
3.523 * [backup-simplify]: Simplify im into im
3.523 * [taylor]: Taking taylor expansion of im in re
3.523 * [backup-simplify]: Simplify im into im
3.523 * [backup-simplify]: Simplify (* 0 0) into 0
3.523 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.524 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.524 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.524 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.524 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.524 * [backup-simplify]: Simplify (+ 0 0) into 0
3.525 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.525 * [backup-simplify]: Simplify (+ 0 im) into im
3.525 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
3.525 * [backup-simplify]: Simplify (+ 1 0) into 1
3.525 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
3.525 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re
3.525 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
3.525 * [taylor]: Taking taylor expansion of re in re
3.525 * [backup-simplify]: Simplify 0 into 0
3.525 * [backup-simplify]: Simplify 1 into 1
3.525 * [taylor]: Taking taylor expansion of (hypot re im) in re
3.525 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.526 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
3.526 * [taylor]: Taking taylor expansion of (* re re) in re
3.526 * [taylor]: Taking taylor expansion of re in re
3.526 * [backup-simplify]: Simplify 0 into 0
3.526 * [backup-simplify]: Simplify 1 into 1
3.526 * [taylor]: Taking taylor expansion of re in re
3.526 * [backup-simplify]: Simplify 0 into 0
3.526 * [backup-simplify]: Simplify 1 into 1
3.526 * [taylor]: Taking taylor expansion of (* im im) in re
3.526 * [taylor]: Taking taylor expansion of im in re
3.526 * [backup-simplify]: Simplify im into im
3.526 * [taylor]: Taking taylor expansion of im in re
3.526 * [backup-simplify]: Simplify im into im
3.526 * [backup-simplify]: Simplify (* 0 0) into 0
3.526 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.526 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.527 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.527 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.527 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.528 * [backup-simplify]: Simplify (+ 0 0) into 0
3.528 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.528 * [backup-simplify]: Simplify (+ 0 im) into im
3.528 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
3.528 * [backup-simplify]: Simplify (+ 1 0) into 1
3.528 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
3.528 * [taylor]: Taking taylor expansion of (sqrt im) in im
3.528 * [taylor]: Taking taylor expansion of im in im
3.529 * [backup-simplify]: Simplify 0 into 0
3.529 * [backup-simplify]: Simplify 1 into 1
3.529 * [backup-simplify]: Simplify (sqrt 0) into 0
3.530 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.530 * [backup-simplify]: Simplify 0 into 0
3.530 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 im))) in im
3.530 * [taylor]: Taking taylor expansion of 1/2 in im
3.530 * [backup-simplify]: Simplify 1/2 into 1/2
3.530 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
3.530 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.530 * [taylor]: Taking taylor expansion of im in im
3.530 * [backup-simplify]: Simplify 0 into 0
3.530 * [backup-simplify]: Simplify 1 into 1
3.531 * [backup-simplify]: Simplify (/ 1 1) into 1
3.531 * [backup-simplify]: Simplify (sqrt 0) into 0
3.533 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.534 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0)
3.534 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
3.534 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.535 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
3.536 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.536 * [backup-simplify]: Simplify (+ 1 0) into 1
3.537 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.537 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
3.537 * [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))))
3.538 * [taylor]: Taking taylor expansion of (* 1/8 (sqrt (/ 1 (pow im 3)))) in im
3.538 * [taylor]: Taking taylor expansion of 1/8 in im
3.538 * [backup-simplify]: Simplify 1/8 into 1/8
3.538 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
3.538 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
3.538 * [taylor]: Taking taylor expansion of (pow im 3) in im
3.538 * [taylor]: Taking taylor expansion of im in im
3.538 * [backup-simplify]: Simplify 0 into 0
3.538 * [backup-simplify]: Simplify 1 into 1
3.538 * [backup-simplify]: Simplify (* 1 1) into 1
3.539 * [backup-simplify]: Simplify (* 1 1) into 1
3.539 * [backup-simplify]: Simplify (/ 1 1) into 1
3.539 * [backup-simplify]: Simplify (sqrt 0) into 0
3.541 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.541 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.545 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
3.547 * [backup-simplify]: Simplify (+ (* 1/8 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0)
3.548 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
3.549 * [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))))))
3.549 * [backup-simplify]: Simplify (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) into (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))
3.549 * [approximate]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in (re im) around 0
3.549 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im
3.549 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
3.549 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
3.549 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.549 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
3.549 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
3.549 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.549 * [taylor]: Taking taylor expansion of re in im
3.549 * [backup-simplify]: Simplify re into re
3.549 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.549 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.549 * [taylor]: Taking taylor expansion of re in im
3.549 * [backup-simplify]: Simplify re into re
3.550 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.550 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
3.550 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.550 * [taylor]: Taking taylor expansion of im in im
3.550 * [backup-simplify]: Simplify 0 into 0
3.550 * [backup-simplify]: Simplify 1 into 1
3.550 * [backup-simplify]: Simplify (/ 1 1) into 1
3.550 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.550 * [taylor]: Taking taylor expansion of im in im
3.550 * [backup-simplify]: Simplify 0 into 0
3.550 * [backup-simplify]: Simplify 1 into 1
3.550 * [backup-simplify]: Simplify (/ 1 1) into 1
3.551 * [backup-simplify]: Simplify (* 1 1) into 1
3.551 * [backup-simplify]: Simplify (+ 0 1) into 1
3.552 * [backup-simplify]: Simplify (sqrt 1) into 1
3.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.554 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.554 * [backup-simplify]: Simplify (+ 0 0) into 0
3.555 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.555 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.555 * [taylor]: Taking taylor expansion of re in im
3.555 * [backup-simplify]: Simplify re into re
3.555 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.555 * [backup-simplify]: Simplify (+ 1 0) into 1
3.556 * [backup-simplify]: Simplify (sqrt 0) into 0
3.557 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.557 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re
3.557 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
3.557 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
3.557 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.557 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
3.557 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
3.557 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.557 * [taylor]: Taking taylor expansion of re in re
3.557 * [backup-simplify]: Simplify 0 into 0
3.557 * [backup-simplify]: Simplify 1 into 1
3.558 * [backup-simplify]: Simplify (/ 1 1) into 1
3.558 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.558 * [taylor]: Taking taylor expansion of re in re
3.558 * [backup-simplify]: Simplify 0 into 0
3.558 * [backup-simplify]: Simplify 1 into 1
3.558 * [backup-simplify]: Simplify (/ 1 1) into 1
3.558 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
3.558 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.558 * [taylor]: Taking taylor expansion of im in re
3.558 * [backup-simplify]: Simplify im into im
3.558 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.558 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.558 * [taylor]: Taking taylor expansion of im in re
3.558 * [backup-simplify]: Simplify im into im
3.558 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.559 * [backup-simplify]: Simplify (* 1 1) into 1
3.559 * [backup-simplify]: Simplify (+ 1 0) into 1
3.559 * [backup-simplify]: Simplify (sqrt 1) into 1
3.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.561 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.562 * [backup-simplify]: Simplify (+ 0 0) into 0
3.562 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.562 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.562 * [taylor]: Taking taylor expansion of re in re
3.562 * [backup-simplify]: Simplify 0 into 0
3.562 * [backup-simplify]: Simplify 1 into 1
3.563 * [backup-simplify]: Simplify (/ 1 1) into 1
3.563 * [backup-simplify]: Simplify (+ 1 1) into 2
3.564 * [backup-simplify]: Simplify (sqrt 0) into 0
3.565 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
3.565 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re
3.565 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
3.565 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
3.565 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.565 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
3.565 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
3.565 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.565 * [taylor]: Taking taylor expansion of re in re
3.565 * [backup-simplify]: Simplify 0 into 0
3.565 * [backup-simplify]: Simplify 1 into 1
3.566 * [backup-simplify]: Simplify (/ 1 1) into 1
3.566 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.566 * [taylor]: Taking taylor expansion of re in re
3.566 * [backup-simplify]: Simplify 0 into 0
3.566 * [backup-simplify]: Simplify 1 into 1
3.566 * [backup-simplify]: Simplify (/ 1 1) into 1
3.566 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
3.566 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.566 * [taylor]: Taking taylor expansion of im in re
3.566 * [backup-simplify]: Simplify im into im
3.566 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.566 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.566 * [taylor]: Taking taylor expansion of im in re
3.566 * [backup-simplify]: Simplify im into im
3.566 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.567 * [backup-simplify]: Simplify (* 1 1) into 1
3.567 * [backup-simplify]: Simplify (+ 1 0) into 1
3.568 * [backup-simplify]: Simplify (sqrt 1) into 1
3.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.570 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.570 * [backup-simplify]: Simplify (+ 0 0) into 0
3.571 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.571 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.571 * [taylor]: Taking taylor expansion of re in re
3.571 * [backup-simplify]: Simplify 0 into 0
3.571 * [backup-simplify]: Simplify 1 into 1
3.571 * [backup-simplify]: Simplify (/ 1 1) into 1
3.571 * [backup-simplify]: Simplify (+ 1 1) into 2
3.572 * [backup-simplify]: Simplify (sqrt 0) into 0
3.573 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
3.573 * [taylor]: Taking taylor expansion of 0 in im
3.573 * [backup-simplify]: Simplify 0 into 0
3.573 * [taylor]: Taking taylor expansion of +nan.0 in im
3.573 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.573 * [backup-simplify]: Simplify 0 into 0
3.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.574 * [backup-simplify]: Simplify (+ 0 0) into 0
3.581 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
3.581 * [taylor]: Taking taylor expansion of +nan.0 in im
3.581 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.581 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.581 * [backup-simplify]: Simplify 0 into 0
3.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.584 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
3.584 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.585 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.586 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.588 * [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))
3.588 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im
3.588 * [taylor]: Taking taylor expansion of +nan.0 in im
3.588 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.588 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im
3.588 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.588 * [taylor]: Taking taylor expansion of 1/2 in im
3.589 * [backup-simplify]: Simplify 1/2 into 1/2
3.589 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.589 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.589 * [taylor]: Taking taylor expansion of im in im
3.589 * [backup-simplify]: Simplify 0 into 0
3.589 * [backup-simplify]: Simplify 1 into 1
3.589 * [backup-simplify]: Simplify (* 1 1) into 1
3.589 * [backup-simplify]: Simplify (/ 1 1) into 1
3.589 * [taylor]: Taking taylor expansion of +nan.0 in im
3.589 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.590 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.592 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.592 * [backup-simplify]: Simplify (+ 0 0) into 0
3.592 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
3.593 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
3.594 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0
3.594 * [backup-simplify]: Simplify 0 into 0
3.594 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.594 * [backup-simplify]: Simplify 0 into 0
3.594 * [backup-simplify]: Simplify 0 into 0
3.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.597 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
3.597 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
3.597 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
3.598 * [backup-simplify]: Simplify (+ 0 0) into 0
3.598 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.599 * [backup-simplify]: Simplify (+ 0 0) into 0
3.601 * [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)))
3.601 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im
3.601 * [taylor]: Taking taylor expansion of +nan.0 in im
3.601 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.601 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im
3.601 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im
3.601 * [taylor]: Taking taylor expansion of +nan.0 in im
3.601 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.601 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.601 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.601 * [taylor]: Taking taylor expansion of im in im
3.601 * [backup-simplify]: Simplify 0 into 0
3.601 * [backup-simplify]: Simplify 1 into 1
3.601 * [backup-simplify]: Simplify (* 1 1) into 1
3.602 * [backup-simplify]: Simplify (/ 1 1) into 1
3.602 * [taylor]: Taking taylor expansion of (- +nan.0) in im
3.602 * [taylor]: Taking taylor expansion of +nan.0 in im
3.602 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.603 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.604 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0
3.604 * [backup-simplify]: Simplify (+ 0 0) into 0
3.605 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
3.605 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
3.606 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0
3.606 * [backup-simplify]: Simplify 0 into 0
3.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.609 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.609 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
3.610 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
3.613 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0)
3.613 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
3.614 * [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)))))
3.614 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (- re)) (hypot (/ 1 (- re)) (/ 1 (- im))))) into (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))
3.614 * [approximate]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in (re im) around 0
3.614 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im
3.614 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
3.614 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
3.615 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.615 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
3.615 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
3.615 * [taylor]: Taking taylor expansion of (/ -1 re) in im
3.615 * [taylor]: Taking taylor expansion of -1 in im
3.615 * [backup-simplify]: Simplify -1 into -1
3.615 * [taylor]: Taking taylor expansion of re in im
3.615 * [backup-simplify]: Simplify re into re
3.615 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
3.615 * [taylor]: Taking taylor expansion of (/ -1 re) in im
3.615 * [taylor]: Taking taylor expansion of -1 in im
3.615 * [backup-simplify]: Simplify -1 into -1
3.615 * [taylor]: Taking taylor expansion of re in im
3.615 * [backup-simplify]: Simplify re into re
3.615 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
3.615 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
3.615 * [taylor]: Taking taylor expansion of (/ -1 im) in im
3.615 * [taylor]: Taking taylor expansion of -1 in im
3.615 * [backup-simplify]: Simplify -1 into -1
3.615 * [taylor]: Taking taylor expansion of im in im
3.615 * [backup-simplify]: Simplify 0 into 0
3.615 * [backup-simplify]: Simplify 1 into 1
3.616 * [backup-simplify]: Simplify (/ -1 1) into -1
3.616 * [taylor]: Taking taylor expansion of (/ -1 im) in im
3.616 * [taylor]: Taking taylor expansion of -1 in im
3.616 * [backup-simplify]: Simplify -1 into -1
3.616 * [taylor]: Taking taylor expansion of im in im
3.616 * [backup-simplify]: Simplify 0 into 0
3.616 * [backup-simplify]: Simplify 1 into 1
3.616 * [backup-simplify]: Simplify (/ -1 1) into -1
3.617 * [backup-simplify]: Simplify (* -1 -1) into 1
3.617 * [backup-simplify]: Simplify (+ 0 1) into 1
3.617 * [backup-simplify]: Simplify (sqrt 1) into 1
3.618 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.619 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.620 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.620 * [backup-simplify]: Simplify (+ 0 0) into 0
3.621 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.621 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.621 * [taylor]: Taking taylor expansion of re in im
3.621 * [backup-simplify]: Simplify re into re
3.621 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.621 * [backup-simplify]: Simplify (+ 1 0) into 1
3.622 * [backup-simplify]: Simplify (sqrt 0) into 0
3.623 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.623 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
3.623 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
3.623 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
3.624 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.624 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
3.624 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
3.624 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.624 * [taylor]: Taking taylor expansion of -1 in re
3.624 * [backup-simplify]: Simplify -1 into -1
3.624 * [taylor]: Taking taylor expansion of re in re
3.624 * [backup-simplify]: Simplify 0 into 0
3.624 * [backup-simplify]: Simplify 1 into 1
3.624 * [backup-simplify]: Simplify (/ -1 1) into -1
3.624 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.624 * [taylor]: Taking taylor expansion of -1 in re
3.624 * [backup-simplify]: Simplify -1 into -1
3.624 * [taylor]: Taking taylor expansion of re in re
3.624 * [backup-simplify]: Simplify 0 into 0
3.625 * [backup-simplify]: Simplify 1 into 1
3.625 * [backup-simplify]: Simplify (/ -1 1) into -1
3.625 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
3.625 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.625 * [taylor]: Taking taylor expansion of -1 in re
3.625 * [backup-simplify]: Simplify -1 into -1
3.625 * [taylor]: Taking taylor expansion of im in re
3.625 * [backup-simplify]: Simplify im into im
3.625 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.625 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.625 * [taylor]: Taking taylor expansion of -1 in re
3.625 * [backup-simplify]: Simplify -1 into -1
3.625 * [taylor]: Taking taylor expansion of im in re
3.625 * [backup-simplify]: Simplify im into im
3.625 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.626 * [backup-simplify]: Simplify (* -1 -1) into 1
3.626 * [backup-simplify]: Simplify (+ 1 0) into 1
3.626 * [backup-simplify]: Simplify (sqrt 1) into 1
3.627 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.628 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.628 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.629 * [backup-simplify]: Simplify (+ 0 0) into 0
3.629 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.629 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.629 * [taylor]: Taking taylor expansion of re in re
3.629 * [backup-simplify]: Simplify 0 into 0
3.629 * [backup-simplify]: Simplify 1 into 1
3.630 * [backup-simplify]: Simplify (/ 1 1) into 1
3.630 * [backup-simplify]: Simplify (- 1) into -1
3.630 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.631 * [backup-simplify]: Simplify (- 0) into 0
3.632 * [backup-simplify]: Simplify (+ 0 0) into 0
3.632 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.633 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.634 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
3.634 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
3.634 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.636 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.637 * [backup-simplify]: Simplify (- 0) into 0
3.637 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.637 * [backup-simplify]: Simplify (sqrt 0) into 0
3.638 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
3.638 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
3.638 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
3.638 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
3.638 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.638 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
3.639 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
3.639 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.639 * [taylor]: Taking taylor expansion of -1 in re
3.639 * [backup-simplify]: Simplify -1 into -1
3.639 * [taylor]: Taking taylor expansion of re in re
3.639 * [backup-simplify]: Simplify 0 into 0
3.639 * [backup-simplify]: Simplify 1 into 1
3.639 * [backup-simplify]: Simplify (/ -1 1) into -1
3.639 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.639 * [taylor]: Taking taylor expansion of -1 in re
3.639 * [backup-simplify]: Simplify -1 into -1
3.639 * [taylor]: Taking taylor expansion of re in re
3.639 * [backup-simplify]: Simplify 0 into 0
3.639 * [backup-simplify]: Simplify 1 into 1
3.640 * [backup-simplify]: Simplify (/ -1 1) into -1
3.640 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
3.640 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.640 * [taylor]: Taking taylor expansion of -1 in re
3.640 * [backup-simplify]: Simplify -1 into -1
3.640 * [taylor]: Taking taylor expansion of im in re
3.640 * [backup-simplify]: Simplify im into im
3.640 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.640 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.640 * [taylor]: Taking taylor expansion of -1 in re
3.640 * [backup-simplify]: Simplify -1 into -1
3.640 * [taylor]: Taking taylor expansion of im in re
3.640 * [backup-simplify]: Simplify im into im
3.640 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.641 * [backup-simplify]: Simplify (* -1 -1) into 1
3.641 * [backup-simplify]: Simplify (+ 1 0) into 1
3.642 * [backup-simplify]: Simplify (sqrt 1) into 1
3.643 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.644 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.644 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.645 * [backup-simplify]: Simplify (+ 0 0) into 0
3.645 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.645 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.645 * [taylor]: Taking taylor expansion of re in re
3.645 * [backup-simplify]: Simplify 0 into 0
3.645 * [backup-simplify]: Simplify 1 into 1
3.646 * [backup-simplify]: Simplify (/ 1 1) into 1
3.646 * [backup-simplify]: Simplify (- 1) into -1
3.647 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.648 * [backup-simplify]: Simplify (- 0) into 0
3.648 * [backup-simplify]: Simplify (+ 0 0) into 0
3.649 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.650 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.651 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
3.651 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
3.651 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.653 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.654 * [backup-simplify]: Simplify (- 0) into 0
3.654 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.654 * [backup-simplify]: Simplify (sqrt 0) into 0
3.655 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
3.655 * [taylor]: Taking taylor expansion of 0 in im
3.655 * [backup-simplify]: Simplify 0 into 0
3.655 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 2)) in im
3.655 * [taylor]: Taking taylor expansion of +nan.0 in im
3.655 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.655 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.655 * [taylor]: Taking taylor expansion of im in im
3.656 * [backup-simplify]: Simplify 0 into 0
3.656 * [backup-simplify]: Simplify 1 into 1
3.656 * [backup-simplify]: Simplify (* 1 1) into 1
3.656 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0
3.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.658 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0
3.658 * [backup-simplify]: Simplify 0 into 0
3.658 * [backup-simplify]: Simplify 0 into 0
3.659 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.660 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.661 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
3.661 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
3.662 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
3.662 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
3.662 * [backup-simplify]: Simplify (+ 0 0) into 0
3.663 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.664 * [backup-simplify]: Simplify (- 0) into 0
3.664 * [backup-simplify]: Simplify (+ 0 0) into 0
3.665 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
3.666 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 4)) in im
3.666 * [taylor]: Taking taylor expansion of +nan.0 in im
3.666 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.666 * [taylor]: Taking taylor expansion of (pow im 4) in im
3.666 * [taylor]: Taking taylor expansion of im in im
3.666 * [backup-simplify]: Simplify 0 into 0
3.666 * [backup-simplify]: Simplify 1 into 1
3.666 * [backup-simplify]: Simplify (* 1 1) into 1
3.666 * [backup-simplify]: Simplify (* 1 1) into 1
3.667 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0
3.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.669 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.671 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.672 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0
3.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.674 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.675 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.675 * [backup-simplify]: Simplify 0 into 0
3.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.677 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.677 * [backup-simplify]: Simplify 0 into 0
3.677 * [backup-simplify]: Simplify 0 into 0
3.678 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.679 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.680 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
3.681 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
3.681 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
3.681 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0
3.682 * [backup-simplify]: Simplify (+ 0 0) into 0
3.683 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
3.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.684 * [backup-simplify]: Simplify (- 0) into 0
3.685 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
3.686 * [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))))))
3.686 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6)))))) in im
3.686 * [taylor]: Taking taylor expansion of +nan.0 in im
3.686 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.686 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))) in im
3.686 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow im 4))) in im
3.686 * [taylor]: Taking taylor expansion of 1/8 in im
3.686 * [backup-simplify]: Simplify 1/8 into 1/8
3.686 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im
3.686 * [taylor]: Taking taylor expansion of (pow im 4) in im
3.686 * [taylor]: Taking taylor expansion of im in im
3.686 * [backup-simplify]: Simplify 0 into 0
3.686 * [backup-simplify]: Simplify 1 into 1
3.686 * [backup-simplify]: Simplify (* 1 1) into 1
3.687 * [backup-simplify]: Simplify (* 1 1) into 1
3.687 * [backup-simplify]: Simplify (/ 1 1) into 1
3.687 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow im 6)))) in im
3.687 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 6))) in im
3.687 * [taylor]: Taking taylor expansion of +nan.0 in im
3.687 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.687 * [taylor]: Taking taylor expansion of (/ 1 (pow im 6)) in im
3.687 * [taylor]: Taking taylor expansion of (pow im 6) in im
3.687 * [taylor]: Taking taylor expansion of im in im
3.687 * [backup-simplify]: Simplify 0 into 0
3.687 * [backup-simplify]: Simplify 1 into 1
3.688 * [backup-simplify]: Simplify (* 1 1) into 1
3.688 * [backup-simplify]: Simplify (* 1 1) into 1
3.688 * [backup-simplify]: Simplify (* 1 1) into 1
3.689 * [backup-simplify]: Simplify (/ 1 1) into 1
3.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.690 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.693 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.698 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.699 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
3.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.702 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
3.705 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
3.709 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.718 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
3.719 * [backup-simplify]: Simplify (- 0) into 0
3.719 * [backup-simplify]: Simplify (+ 0 0) into 0
3.720 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 1))) into 0
3.725 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.725 * [backup-simplify]: Simplify (- 0) into 0
3.726 * [backup-simplify]: Simplify (+ 0 0) into 0
3.726 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0
3.727 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.728 * [backup-simplify]: Simplify (- 0) into 0
3.728 * [backup-simplify]: Simplify (+ 0 0) into 0
3.729 * [backup-simplify]: Simplify (* 1/8 1) into 1/8
3.730 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0
3.730 * [backup-simplify]: Simplify (- 0) into 0
3.730 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8
3.731 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0
3.731 * [backup-simplify]: Simplify (- 0) into 0
3.732 * [backup-simplify]: Simplify (+ 0 0) into 0
3.732 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
3.732 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
3.733 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
3.734 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/8) (+ (* 0 0) (* 0 (- +nan.0))))))) into 0
3.734 * [backup-simplify]: Simplify 0 into 0
3.734 * [backup-simplify]: Simplify 0 into 0
3.734 * * * [progress]: simplifying candidates
3.735 * [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
3.737 * * [simplify]: Extracting # 0 : cost  0
3.737 * * [simplify]: Extracting # 1 : cost  0
3.737 * * [simplify]: Extracting # 2 : cost  0
3.737 * * [simplify]: Extracting # 3 : cost  0
3.737 * * [simplify]: Extracting # 4 : cost  0
3.737 * * [simplify]: Extracting # 5 : cost  0
3.737 * * [simplify]: Extracting # 6 : cost  0
3.738 * * [simplify]: Extracting # 7 : cost  0
3.738 * * [simplify]: Extracting # 8 : cost  0
3.738 * * [simplify]: Extracting # 9 : cost  0
3.738 * * [simplify]: Extracting # 10 : cost  0
3.738 * * [simplify]: Extracting # 11 : cost  0
3.738 * * [simplify]: iteration  0 :  135  enodes  (cost  898 )
3.764 * * [simplify]: Extracting # 0 : cost  0
3.764 * * [simplify]: Extracting # 1 : cost  0
3.765 * * [simplify]: Extracting # 2 : cost  0
3.766 * * [simplify]: Extracting # 3 : cost  0
3.766 * * [simplify]: Extracting # 4 : cost  0
3.767 * * [simplify]: iteration  1 :  306  enodes  (cost  827 )
3.989 * * [simplify]: Extracting # 0 : cost  0
3.992 * * [simplify]: Extracting # 1 : cost  0
3.995 * * [simplify]: Extracting # 2 : cost  0
3.998 * * [simplify]: Extracting # 3 : cost  0
4.001 * * [simplify]: Extracting # 4 : cost  0
4.004 * * [simplify]: iteration  2 :  1268  enodes  (cost  780 )
4.636 * * [simplify]: Extracting # 0 : cost  0
4.648 * * [simplify]: Extracting # 1 : cost  0
4.668 * * [simplify]: Extracting # 2 : cost  0
4.674 * * [simplify]: Extracting # 3 : cost  0
4.681 * * [simplify]: Extracting # 4 : cost  0
4.687 * * [simplify]: iteration done:  5000  enodes  (cost  771 )
4.688 * [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))
  (+ (hypot re im) re)
  (expm1 (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
  (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
  (* 2.0 (+ (hypot re im) re))
  (* (sqrt (+ re (hypot re im))) (sqrt 2.0))
  (* 2.0 (+ (hypot re im) re))
  (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))) 3) (* 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)))
  (pow (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) 3)
  (* 2.0 (+ (hypot re im) re))
  (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 (hypot re im) 3/2) (pow re 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 (hypot re im) 3/2) (pow re 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))))
  (* +nan.0 (+ (- (sqrt 2.0)) (- (/ (sqrt 2.0) (pow re 2)) (/ (sqrt 2.0) re))))
  0
  im
  re
  (- re)
  (- (* +nan.0 (- (pow re 2) (- im re))))
  (+ (- (/ +nan.0 re) +nan.0) (/ (- +nan.0) (* re re)))
  0
4.688 * * * [progress]: adding candidates to table
5.069 * * [progress]: iteration 3 / 4
5.069 * * * [progress]: picking best candidate
5.083 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0))))>
5.083 * * * [progress]: localizing error
5.109 * * * [progress]: generating rewritten candidates
5.110 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1)
5.122 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2)
5.148 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
5.155 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2 2)
5.159 * * * [progress]: generating series expansions
5.159 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1)
5.160 * [backup-simplify]: Simplify (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) into (+ re (hypot re im))
5.160 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0
5.160 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im
5.160 * [taylor]: Taking taylor expansion of re in im
5.160 * [backup-simplify]: Simplify re into re
5.160 * [taylor]: Taking taylor expansion of (hypot re im) in im
5.160 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.160 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
5.160 * [taylor]: Taking taylor expansion of (* re re) in im
5.160 * [taylor]: Taking taylor expansion of re in im
5.160 * [backup-simplify]: Simplify re into re
5.160 * [taylor]: Taking taylor expansion of re in im
5.160 * [backup-simplify]: Simplify re into re
5.160 * [taylor]: Taking taylor expansion of (* im im) in im
5.160 * [taylor]: Taking taylor expansion of im in im
5.160 * [backup-simplify]: Simplify 0 into 0
5.160 * [backup-simplify]: Simplify 1 into 1
5.160 * [taylor]: Taking taylor expansion of im in im
5.160 * [backup-simplify]: Simplify 0 into 0
5.160 * [backup-simplify]: Simplify 1 into 1
5.160 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.161 * [backup-simplify]: Simplify (* 0 0) into 0
5.161 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
5.161 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.161 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.161 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.162 * [backup-simplify]: Simplify (+ 0 0) into 0
5.162 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.162 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
5.162 * [taylor]: Taking taylor expansion of re in re
5.162 * [backup-simplify]: Simplify 0 into 0
5.162 * [backup-simplify]: Simplify 1 into 1
5.162 * [taylor]: Taking taylor expansion of (hypot re im) in re
5.162 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.162 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
5.162 * [taylor]: Taking taylor expansion of (* re re) in re
5.162 * [taylor]: Taking taylor expansion of re in re
5.162 * [backup-simplify]: Simplify 0 into 0
5.162 * [backup-simplify]: Simplify 1 into 1
5.162 * [taylor]: Taking taylor expansion of re in re
5.162 * [backup-simplify]: Simplify 0 into 0
5.162 * [backup-simplify]: Simplify 1 into 1
5.162 * [taylor]: Taking taylor expansion of (* im im) in re
5.162 * [taylor]: Taking taylor expansion of im in re
5.162 * [backup-simplify]: Simplify im into im
5.162 * [taylor]: Taking taylor expansion of im in re
5.162 * [backup-simplify]: Simplify im into im
5.163 * [backup-simplify]: Simplify (* 0 0) into 0
5.163 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.163 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.163 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.163 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.163 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.163 * [backup-simplify]: Simplify (+ 0 0) into 0
5.164 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.164 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
5.164 * [taylor]: Taking taylor expansion of re in re
5.164 * [backup-simplify]: Simplify 0 into 0
5.164 * [backup-simplify]: Simplify 1 into 1
5.164 * [taylor]: Taking taylor expansion of (hypot re im) in re
5.164 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.164 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
5.164 * [taylor]: Taking taylor expansion of (* re re) in re
5.164 * [taylor]: Taking taylor expansion of re in re
5.164 * [backup-simplify]: Simplify 0 into 0
5.164 * [backup-simplify]: Simplify 1 into 1
5.164 * [taylor]: Taking taylor expansion of re in re
5.164 * [backup-simplify]: Simplify 0 into 0
5.164 * [backup-simplify]: Simplify 1 into 1
5.164 * [taylor]: Taking taylor expansion of (* im im) in re
5.164 * [taylor]: Taking taylor expansion of im in re
5.164 * [backup-simplify]: Simplify im into im
5.164 * [taylor]: Taking taylor expansion of im in re
5.164 * [backup-simplify]: Simplify im into im
5.164 * [backup-simplify]: Simplify (* 0 0) into 0
5.164 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.164 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.165 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.165 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.165 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.165 * [backup-simplify]: Simplify (+ 0 0) into 0
5.165 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.165 * [backup-simplify]: Simplify (+ 0 im) into im
5.165 * [taylor]: Taking taylor expansion of im in im
5.165 * [backup-simplify]: Simplify 0 into 0
5.165 * [backup-simplify]: Simplify 1 into 1
5.166 * [backup-simplify]: Simplify 0 into 0
5.166 * [backup-simplify]: Simplify (+ 1 0) into 1
5.166 * [taylor]: Taking taylor expansion of 1 in im
5.166 * [backup-simplify]: Simplify 1 into 1
5.166 * [backup-simplify]: Simplify 1 into 1
5.166 * [backup-simplify]: Simplify 1 into 1
5.166 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
5.167 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.167 * [backup-simplify]: Simplify (+ 1 0) into 1
5.167 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
5.168 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
5.168 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
5.168 * [taylor]: Taking taylor expansion of 1/2 in im
5.168 * [backup-simplify]: Simplify 1/2 into 1/2
5.168 * [taylor]: Taking taylor expansion of (/ 1 im) in im
5.168 * [taylor]: Taking taylor expansion of im in im
5.168 * [backup-simplify]: Simplify 0 into 0
5.168 * [backup-simplify]: Simplify 1 into 1
5.168 * [backup-simplify]: Simplify (/ 1 1) into 1
5.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.169 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.169 * [backup-simplify]: Simplify 0 into 0
5.169 * [backup-simplify]: Simplify 0 into 0
5.169 * [backup-simplify]: Simplify 0 into 0
5.169 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
5.170 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
5.170 * [backup-simplify]: Simplify (+ 0 0) into 0
5.170 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
5.171 * [backup-simplify]: Simplify (+ 0 0) into 0
5.171 * [taylor]: Taking taylor expansion of 0 in im
5.171 * [backup-simplify]: Simplify 0 into 0
5.171 * [backup-simplify]: Simplify 0 into 0
5.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.172 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
5.172 * [backup-simplify]: Simplify 0 into 0
5.172 * [backup-simplify]: Simplify 0 into 0
5.172 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
5.172 * [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))
5.172 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0
5.172 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
5.172 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
5.172 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.172 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
5.172 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
5.172 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.172 * [taylor]: Taking taylor expansion of re in im
5.172 * [backup-simplify]: Simplify re into re
5.172 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.172 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.172 * [taylor]: Taking taylor expansion of re in im
5.173 * [backup-simplify]: Simplify re into re
5.173 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.173 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
5.173 * [taylor]: Taking taylor expansion of (/ 1 im) in im
5.173 * [taylor]: Taking taylor expansion of im in im
5.173 * [backup-simplify]: Simplify 0 into 0
5.173 * [backup-simplify]: Simplify 1 into 1
5.173 * [backup-simplify]: Simplify (/ 1 1) into 1
5.173 * [taylor]: Taking taylor expansion of (/ 1 im) in im
5.173 * [taylor]: Taking taylor expansion of im in im
5.173 * [backup-simplify]: Simplify 0 into 0
5.173 * [backup-simplify]: Simplify 1 into 1
5.173 * [backup-simplify]: Simplify (/ 1 1) into 1
5.173 * [backup-simplify]: Simplify (* 1 1) into 1
5.174 * [backup-simplify]: Simplify (+ 0 1) into 1
5.174 * [backup-simplify]: Simplify (sqrt 1) into 1
5.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.175 * [backup-simplify]: Simplify (+ 0 0) into 0
5.176 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.176 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.176 * [taylor]: Taking taylor expansion of re in im
5.176 * [backup-simplify]: Simplify re into re
5.176 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.176 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
5.176 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
5.176 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.176 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
5.176 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
5.176 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.176 * [taylor]: Taking taylor expansion of re in re
5.176 * [backup-simplify]: Simplify 0 into 0
5.176 * [backup-simplify]: Simplify 1 into 1
5.176 * [backup-simplify]: Simplify (/ 1 1) into 1
5.176 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.177 * [taylor]: Taking taylor expansion of re in re
5.177 * [backup-simplify]: Simplify 0 into 0
5.177 * [backup-simplify]: Simplify 1 into 1
5.177 * [backup-simplify]: Simplify (/ 1 1) into 1
5.177 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
5.177 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.177 * [taylor]: Taking taylor expansion of im in re
5.177 * [backup-simplify]: Simplify im into im
5.177 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.177 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.177 * [taylor]: Taking taylor expansion of im in re
5.177 * [backup-simplify]: Simplify im into im
5.177 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.177 * [backup-simplify]: Simplify (* 1 1) into 1
5.177 * [backup-simplify]: Simplify (+ 1 0) into 1
5.178 * [backup-simplify]: Simplify (sqrt 1) into 1
5.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.179 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.179 * [backup-simplify]: Simplify (+ 0 0) into 0
5.180 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.180 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.180 * [taylor]: Taking taylor expansion of re in re
5.180 * [backup-simplify]: Simplify 0 into 0
5.180 * [backup-simplify]: Simplify 1 into 1
5.180 * [backup-simplify]: Simplify (/ 1 1) into 1
5.180 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
5.180 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
5.180 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.180 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
5.180 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
5.180 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.180 * [taylor]: Taking taylor expansion of re in re
5.180 * [backup-simplify]: Simplify 0 into 0
5.180 * [backup-simplify]: Simplify 1 into 1
5.180 * [backup-simplify]: Simplify (/ 1 1) into 1
5.180 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.181 * [taylor]: Taking taylor expansion of re in re
5.181 * [backup-simplify]: Simplify 0 into 0
5.181 * [backup-simplify]: Simplify 1 into 1
5.181 * [backup-simplify]: Simplify (/ 1 1) into 1
5.181 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
5.181 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.181 * [taylor]: Taking taylor expansion of im in re
5.181 * [backup-simplify]: Simplify im into im
5.181 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.181 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.181 * [taylor]: Taking taylor expansion of im in re
5.181 * [backup-simplify]: Simplify im into im
5.181 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.181 * [backup-simplify]: Simplify (* 1 1) into 1
5.182 * [backup-simplify]: Simplify (+ 1 0) into 1
5.182 * [backup-simplify]: Simplify (sqrt 1) into 1
5.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.183 * [backup-simplify]: Simplify (+ 0 0) into 0
5.184 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.184 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.184 * [taylor]: Taking taylor expansion of re in re
5.184 * [backup-simplify]: Simplify 0 into 0
5.184 * [backup-simplify]: Simplify 1 into 1
5.184 * [backup-simplify]: Simplify (/ 1 1) into 1
5.184 * [backup-simplify]: Simplify (+ 1 1) into 2
5.184 * [taylor]: Taking taylor expansion of 2 in im
5.184 * [backup-simplify]: Simplify 2 into 2
5.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.185 * [backup-simplify]: Simplify (+ 0 0) into 0
5.185 * [taylor]: Taking taylor expansion of 0 in im
5.185 * [backup-simplify]: Simplify 0 into 0
5.185 * [backup-simplify]: Simplify 2 into 2
5.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.187 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
5.187 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.188 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.188 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
5.188 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
5.188 * [taylor]: Taking taylor expansion of 1/2 in im
5.188 * [backup-simplify]: Simplify 1/2 into 1/2
5.188 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.189 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.189 * [taylor]: Taking taylor expansion of im in im
5.189 * [backup-simplify]: Simplify 0 into 0
5.189 * [backup-simplify]: Simplify 1 into 1
5.189 * [backup-simplify]: Simplify (* 1 1) into 1
5.189 * [backup-simplify]: Simplify (/ 1 1) into 1
5.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.191 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.192 * [backup-simplify]: Simplify 0 into 0
5.192 * [backup-simplify]: Simplify 0 into 0
5.192 * [backup-simplify]: Simplify 0 into 0
5.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.195 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
5.195 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
5.195 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
5.195 * [backup-simplify]: Simplify (+ 0 0) into 0
5.196 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.197 * [backup-simplify]: Simplify (+ 0 0) into 0
5.197 * [taylor]: Taking taylor expansion of 0 in im
5.197 * [backup-simplify]: Simplify 0 into 0
5.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.200 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
5.200 * [backup-simplify]: Simplify 0 into 0
5.200 * [backup-simplify]: Simplify 0 into 0
5.200 * [backup-simplify]: Simplify 0 into 0
5.200 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
5.201 * [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))
5.201 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
5.201 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
5.201 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
5.201 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.201 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
5.201 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
5.201 * [taylor]: Taking taylor expansion of (/ -1 re) in im
5.201 * [taylor]: Taking taylor expansion of -1 in im
5.201 * [backup-simplify]: Simplify -1 into -1
5.201 * [taylor]: Taking taylor expansion of re in im
5.201 * [backup-simplify]: Simplify re into re
5.201 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
5.201 * [taylor]: Taking taylor expansion of (/ -1 re) in im
5.201 * [taylor]: Taking taylor expansion of -1 in im
5.201 * [backup-simplify]: Simplify -1 into -1
5.201 * [taylor]: Taking taylor expansion of re in im
5.201 * [backup-simplify]: Simplify re into re
5.202 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
5.202 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
5.202 * [taylor]: Taking taylor expansion of (/ -1 im) in im
5.202 * [taylor]: Taking taylor expansion of -1 in im
5.202 * [backup-simplify]: Simplify -1 into -1
5.202 * [taylor]: Taking taylor expansion of im in im
5.202 * [backup-simplify]: Simplify 0 into 0
5.202 * [backup-simplify]: Simplify 1 into 1
5.202 * [backup-simplify]: Simplify (/ -1 1) into -1
5.202 * [taylor]: Taking taylor expansion of (/ -1 im) in im
5.202 * [taylor]: Taking taylor expansion of -1 in im
5.202 * [backup-simplify]: Simplify -1 into -1
5.202 * [taylor]: Taking taylor expansion of im in im
5.202 * [backup-simplify]: Simplify 0 into 0
5.203 * [backup-simplify]: Simplify 1 into 1
5.203 * [backup-simplify]: Simplify (/ -1 1) into -1
5.203 * [backup-simplify]: Simplify (* -1 -1) into 1
5.204 * [backup-simplify]: Simplify (+ 0 1) into 1
5.204 * [backup-simplify]: Simplify (sqrt 1) into 1
5.205 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.207 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.207 * [backup-simplify]: Simplify (+ 0 0) into 0
5.208 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.208 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.208 * [taylor]: Taking taylor expansion of re in im
5.208 * [backup-simplify]: Simplify re into re
5.208 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.208 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
5.208 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
5.208 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.208 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
5.208 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
5.208 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.208 * [taylor]: Taking taylor expansion of -1 in re
5.208 * [backup-simplify]: Simplify -1 into -1
5.208 * [taylor]: Taking taylor expansion of re in re
5.208 * [backup-simplify]: Simplify 0 into 0
5.208 * [backup-simplify]: Simplify 1 into 1
5.209 * [backup-simplify]: Simplify (/ -1 1) into -1
5.209 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.209 * [taylor]: Taking taylor expansion of -1 in re
5.209 * [backup-simplify]: Simplify -1 into -1
5.209 * [taylor]: Taking taylor expansion of re in re
5.209 * [backup-simplify]: Simplify 0 into 0
5.209 * [backup-simplify]: Simplify 1 into 1
5.209 * [backup-simplify]: Simplify (/ -1 1) into -1
5.210 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
5.210 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.210 * [taylor]: Taking taylor expansion of -1 in re
5.210 * [backup-simplify]: Simplify -1 into -1
5.210 * [taylor]: Taking taylor expansion of im in re
5.210 * [backup-simplify]: Simplify im into im
5.210 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.210 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.210 * [taylor]: Taking taylor expansion of -1 in re
5.210 * [backup-simplify]: Simplify -1 into -1
5.210 * [taylor]: Taking taylor expansion of im in re
5.210 * [backup-simplify]: Simplify im into im
5.210 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.210 * [backup-simplify]: Simplify (* -1 -1) into 1
5.211 * [backup-simplify]: Simplify (+ 1 0) into 1
5.211 * [backup-simplify]: Simplify (sqrt 1) into 1
5.212 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.214 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.214 * [backup-simplify]: Simplify (+ 0 0) into 0
5.215 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.215 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.215 * [taylor]: Taking taylor expansion of re in re
5.215 * [backup-simplify]: Simplify 0 into 0
5.215 * [backup-simplify]: Simplify 1 into 1
5.215 * [backup-simplify]: Simplify (/ 1 1) into 1
5.215 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
5.215 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
5.216 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.216 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
5.216 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
5.216 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.216 * [taylor]: Taking taylor expansion of -1 in re
5.216 * [backup-simplify]: Simplify -1 into -1
5.216 * [taylor]: Taking taylor expansion of re in re
5.216 * [backup-simplify]: Simplify 0 into 0
5.216 * [backup-simplify]: Simplify 1 into 1
5.216 * [backup-simplify]: Simplify (/ -1 1) into -1
5.216 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.217 * [taylor]: Taking taylor expansion of -1 in re
5.217 * [backup-simplify]: Simplify -1 into -1
5.217 * [taylor]: Taking taylor expansion of re in re
5.217 * [backup-simplify]: Simplify 0 into 0
5.217 * [backup-simplify]: Simplify 1 into 1
5.218 * [backup-simplify]: Simplify (/ -1 1) into -1
5.218 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
5.218 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.218 * [taylor]: Taking taylor expansion of -1 in re
5.218 * [backup-simplify]: Simplify -1 into -1
5.218 * [taylor]: Taking taylor expansion of im in re
5.218 * [backup-simplify]: Simplify im into im
5.218 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.218 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.218 * [taylor]: Taking taylor expansion of -1 in re
5.218 * [backup-simplify]: Simplify -1 into -1
5.218 * [taylor]: Taking taylor expansion of im in re
5.218 * [backup-simplify]: Simplify im into im
5.218 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.218 * [backup-simplify]: Simplify (* -1 -1) into 1
5.219 * [backup-simplify]: Simplify (+ 1 0) into 1
5.219 * [backup-simplify]: Simplify (sqrt 1) into 1
5.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.220 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.220 * [backup-simplify]: Simplify (+ 0 0) into 0
5.221 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.221 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.221 * [taylor]: Taking taylor expansion of re in re
5.221 * [backup-simplify]: Simplify 0 into 0
5.221 * [backup-simplify]: Simplify 1 into 1
5.221 * [backup-simplify]: Simplify (/ 1 1) into 1
5.221 * [backup-simplify]: Simplify (- 1) into -1
5.222 * [backup-simplify]: Simplify (+ 1 -1) into 0
5.222 * [taylor]: Taking taylor expansion of 0 in im
5.222 * [backup-simplify]: Simplify 0 into 0
5.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.222 * [backup-simplify]: Simplify (- 0) into 0
5.223 * [backup-simplify]: Simplify (+ 0 0) into 0
5.223 * [taylor]: Taking taylor expansion of 0 in im
5.223 * [backup-simplify]: Simplify 0 into 0
5.223 * [backup-simplify]: Simplify 0 into 0
5.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.224 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
5.225 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
5.225 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.226 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.226 * [backup-simplify]: Simplify (- 0) into 0
5.226 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
5.226 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
5.227 * [taylor]: Taking taylor expansion of 1/2 in im
5.227 * [backup-simplify]: Simplify 1/2 into 1/2
5.227 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.227 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.227 * [taylor]: Taking taylor expansion of im in im
5.227 * [backup-simplify]: Simplify 0 into 0
5.227 * [backup-simplify]: Simplify 1 into 1
5.227 * [backup-simplify]: Simplify (* 1 1) into 1
5.227 * [backup-simplify]: Simplify (/ 1 1) into 1
5.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.228 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.228 * [backup-simplify]: Simplify 0 into 0
5.228 * [backup-simplify]: Simplify 0 into 0
5.228 * [backup-simplify]: Simplify 0 into 0
5.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.233 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
5.234 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
5.234 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
5.234 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
5.234 * [backup-simplify]: Simplify (+ 0 0) into 0
5.235 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.235 * [backup-simplify]: Simplify (- 0) into 0
5.236 * [backup-simplify]: Simplify (+ 0 0) into 0
5.236 * [taylor]: Taking taylor expansion of 0 in im
5.236 * [backup-simplify]: Simplify 0 into 0
5.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.237 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
5.237 * [backup-simplify]: Simplify 0 into 0
5.237 * [backup-simplify]: Simplify 0 into 0
5.238 * [backup-simplify]: Simplify 0 into 0
5.238 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2)
5.238 * [backup-simplify]: Simplify (* (sqrt (hypot re im)) (sqrt (hypot re im))) into (hypot re im)
5.238 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
5.238 * [taylor]: Taking taylor expansion of (hypot re im) in im
5.238 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.238 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
5.238 * [taylor]: Taking taylor expansion of (* re re) in im
5.238 * [taylor]: Taking taylor expansion of re in im
5.238 * [backup-simplify]: Simplify re into re
5.238 * [taylor]: Taking taylor expansion of re in im
5.238 * [backup-simplify]: Simplify re into re
5.238 * [taylor]: Taking taylor expansion of (* im im) in im
5.238 * [taylor]: Taking taylor expansion of im in im
5.238 * [backup-simplify]: Simplify 0 into 0
5.238 * [backup-simplify]: Simplify 1 into 1
5.238 * [taylor]: Taking taylor expansion of im in im
5.238 * [backup-simplify]: Simplify 0 into 0
5.238 * [backup-simplify]: Simplify 1 into 1
5.238 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.238 * [backup-simplify]: Simplify (* 0 0) into 0
5.239 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
5.239 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.239 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.239 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.239 * [backup-simplify]: Simplify (+ 0 0) into 0
5.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.239 * [taylor]: Taking taylor expansion of (hypot re im) in re
5.239 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.240 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
5.240 * [taylor]: Taking taylor expansion of (* re re) in re
5.240 * [taylor]: Taking taylor expansion of re in re
5.240 * [backup-simplify]: Simplify 0 into 0
5.240 * [backup-simplify]: Simplify 1 into 1
5.240 * [taylor]: Taking taylor expansion of re in re
5.240 * [backup-simplify]: Simplify 0 into 0
5.240 * [backup-simplify]: Simplify 1 into 1
5.240 * [taylor]: Taking taylor expansion of (* im im) in re
5.240 * [taylor]: Taking taylor expansion of im in re
5.240 * [backup-simplify]: Simplify im into im
5.240 * [taylor]: Taking taylor expansion of im in re
5.240 * [backup-simplify]: Simplify im into im
5.240 * [backup-simplify]: Simplify (* 0 0) into 0
5.240 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.240 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.240 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.241 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.241 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.241 * [backup-simplify]: Simplify (+ 0 0) into 0
5.241 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.241 * [taylor]: Taking taylor expansion of (hypot re im) in re
5.241 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.241 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
5.241 * [taylor]: Taking taylor expansion of (* re re) in re
5.241 * [taylor]: Taking taylor expansion of re in re
5.241 * [backup-simplify]: Simplify 0 into 0
5.241 * [backup-simplify]: Simplify 1 into 1
5.241 * [taylor]: Taking taylor expansion of re in re
5.241 * [backup-simplify]: Simplify 0 into 0
5.241 * [backup-simplify]: Simplify 1 into 1
5.241 * [taylor]: Taking taylor expansion of (* im im) in re
5.241 * [taylor]: Taking taylor expansion of im in re
5.241 * [backup-simplify]: Simplify im into im
5.241 * [taylor]: Taking taylor expansion of im in re
5.241 * [backup-simplify]: Simplify im into im
5.242 * [backup-simplify]: Simplify (* 0 0) into 0
5.242 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.242 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.242 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.242 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.242 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.242 * [backup-simplify]: Simplify (+ 0 0) into 0
5.243 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.243 * [taylor]: Taking taylor expansion of im in im
5.243 * [backup-simplify]: Simplify 0 into 0
5.243 * [backup-simplify]: Simplify 1 into 1
5.243 * [backup-simplify]: Simplify 0 into 0
5.243 * [taylor]: Taking taylor expansion of 0 in im
5.243 * [backup-simplify]: Simplify 0 into 0
5.243 * [backup-simplify]: Simplify 0 into 0
5.243 * [backup-simplify]: Simplify 1 into 1
5.243 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
5.244 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.244 * [backup-simplify]: Simplify (+ 1 0) into 1
5.244 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
5.244 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
5.244 * [taylor]: Taking taylor expansion of 1/2 in im
5.244 * [backup-simplify]: Simplify 1/2 into 1/2
5.244 * [taylor]: Taking taylor expansion of im in im
5.244 * [backup-simplify]: Simplify 0 into 0
5.244 * [backup-simplify]: Simplify 1 into 1
5.245 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.245 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.245 * [backup-simplify]: Simplify 0 into 0
5.245 * [backup-simplify]: Simplify 0 into 0
5.245 * [backup-simplify]: Simplify 0 into 0
5.246 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
5.246 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
5.247 * [backup-simplify]: Simplify (+ 0 0) into 0
5.247 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
5.247 * [taylor]: Taking taylor expansion of 0 in im
5.247 * [backup-simplify]: Simplify 0 into 0
5.247 * [backup-simplify]: Simplify 0 into 0
5.247 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.247 * [backup-simplify]: Simplify 0 into 0
5.247 * [backup-simplify]: Simplify 0 into 0
5.247 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
5.248 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) into (hypot (/ 1 re) (/ 1 im))
5.248 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
5.248 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
5.248 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.248 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
5.248 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
5.248 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.248 * [taylor]: Taking taylor expansion of re in im
5.248 * [backup-simplify]: Simplify re into re
5.248 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.248 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.248 * [taylor]: Taking taylor expansion of re in im
5.248 * [backup-simplify]: Simplify re into re
5.248 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.248 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
5.248 * [taylor]: Taking taylor expansion of (/ 1 im) in im
5.248 * [taylor]: Taking taylor expansion of im in im
5.248 * [backup-simplify]: Simplify 0 into 0
5.248 * [backup-simplify]: Simplify 1 into 1
5.248 * [backup-simplify]: Simplify (/ 1 1) into 1
5.248 * [taylor]: Taking taylor expansion of (/ 1 im) in im
5.248 * [taylor]: Taking taylor expansion of im in im
5.248 * [backup-simplify]: Simplify 0 into 0
5.248 * [backup-simplify]: Simplify 1 into 1
5.249 * [backup-simplify]: Simplify (/ 1 1) into 1
5.249 * [backup-simplify]: Simplify (* 1 1) into 1
5.250 * [backup-simplify]: Simplify (+ 0 1) into 1
5.250 * [backup-simplify]: Simplify (sqrt 1) into 1
5.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.252 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.252 * [backup-simplify]: Simplify (+ 0 0) into 0
5.253 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.253 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
5.253 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.253 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
5.253 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
5.253 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.253 * [taylor]: Taking taylor expansion of re in re
5.253 * [backup-simplify]: Simplify 0 into 0
5.253 * [backup-simplify]: Simplify 1 into 1
5.254 * [backup-simplify]: Simplify (/ 1 1) into 1
5.254 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.254 * [taylor]: Taking taylor expansion of re in re
5.254 * [backup-simplify]: Simplify 0 into 0
5.254 * [backup-simplify]: Simplify 1 into 1
5.254 * [backup-simplify]: Simplify (/ 1 1) into 1
5.254 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
5.254 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.254 * [taylor]: Taking taylor expansion of im in re
5.254 * [backup-simplify]: Simplify im into im
5.254 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.255 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.255 * [taylor]: Taking taylor expansion of im in re
5.255 * [backup-simplify]: Simplify im into im
5.255 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.255 * [backup-simplify]: Simplify (* 1 1) into 1
5.255 * [backup-simplify]: Simplify (+ 1 0) into 1
5.256 * [backup-simplify]: Simplify (sqrt 1) into 1
5.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.258 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.258 * [backup-simplify]: Simplify (+ 0 0) into 0
5.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.259 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
5.259 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.259 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
5.259 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
5.259 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.259 * [taylor]: Taking taylor expansion of re in re
5.259 * [backup-simplify]: Simplify 0 into 0
5.260 * [backup-simplify]: Simplify 1 into 1
5.260 * [backup-simplify]: Simplify (/ 1 1) into 1
5.260 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.260 * [taylor]: Taking taylor expansion of re in re
5.260 * [backup-simplify]: Simplify 0 into 0
5.260 * [backup-simplify]: Simplify 1 into 1
5.260 * [backup-simplify]: Simplify (/ 1 1) into 1
5.260 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
5.260 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.261 * [taylor]: Taking taylor expansion of im in re
5.261 * [backup-simplify]: Simplify im into im
5.261 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.261 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.261 * [taylor]: Taking taylor expansion of im in re
5.261 * [backup-simplify]: Simplify im into im
5.261 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.261 * [backup-simplify]: Simplify (* 1 1) into 1
5.262 * [backup-simplify]: Simplify (+ 1 0) into 1
5.262 * [backup-simplify]: Simplify (sqrt 1) into 1
5.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.264 * [backup-simplify]: Simplify (+ 0 0) into 0
5.265 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.265 * [taylor]: Taking taylor expansion of 1 in im
5.265 * [backup-simplify]: Simplify 1 into 1
5.265 * [taylor]: Taking taylor expansion of 0 in im
5.265 * [backup-simplify]: Simplify 0 into 0
5.265 * [backup-simplify]: Simplify 1 into 1
5.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.268 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
5.269 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.270 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.270 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.270 * [taylor]: Taking taylor expansion of 1/2 in im
5.270 * [backup-simplify]: Simplify 1/2 into 1/2
5.270 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.270 * [taylor]: Taking taylor expansion of im in im
5.270 * [backup-simplify]: Simplify 0 into 0
5.270 * [backup-simplify]: Simplify 1 into 1
5.271 * [backup-simplify]: Simplify (* 1 1) into 1
5.271 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.273 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.273 * [backup-simplify]: Simplify 0 into 0
5.273 * [backup-simplify]: Simplify 0 into 0
5.273 * [backup-simplify]: Simplify 0 into 0
5.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.276 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
5.276 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
5.277 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
5.277 * [backup-simplify]: Simplify (+ 0 0) into 0
5.278 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.278 * [taylor]: Taking taylor expansion of 0 in im
5.278 * [backup-simplify]: Simplify 0 into 0
5.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.280 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.280 * [backup-simplify]: Simplify 0 into 0
5.280 * [backup-simplify]: Simplify 0 into 0
5.280 * [backup-simplify]: Simplify 0 into 0
5.280 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
5.280 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) into (hypot (/ -1 re) (/ -1 im))
5.280 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
5.280 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
5.281 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.281 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
5.281 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
5.281 * [taylor]: Taking taylor expansion of (/ -1 re) in im
5.281 * [taylor]: Taking taylor expansion of -1 in im
5.281 * [backup-simplify]: Simplify -1 into -1
5.281 * [taylor]: Taking taylor expansion of re in im
5.281 * [backup-simplify]: Simplify re into re
5.281 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
5.281 * [taylor]: Taking taylor expansion of (/ -1 re) in im
5.281 * [taylor]: Taking taylor expansion of -1 in im
5.281 * [backup-simplify]: Simplify -1 into -1
5.281 * [taylor]: Taking taylor expansion of re in im
5.281 * [backup-simplify]: Simplify re into re
5.281 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
5.281 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
5.281 * [taylor]: Taking taylor expansion of (/ -1 im) in im
5.281 * [taylor]: Taking taylor expansion of -1 in im
5.281 * [backup-simplify]: Simplify -1 into -1
5.281 * [taylor]: Taking taylor expansion of im in im
5.281 * [backup-simplify]: Simplify 0 into 0
5.281 * [backup-simplify]: Simplify 1 into 1
5.282 * [backup-simplify]: Simplify (/ -1 1) into -1
5.282 * [taylor]: Taking taylor expansion of (/ -1 im) in im
5.282 * [taylor]: Taking taylor expansion of -1 in im
5.282 * [backup-simplify]: Simplify -1 into -1
5.282 * [taylor]: Taking taylor expansion of im in im
5.282 * [backup-simplify]: Simplify 0 into 0
5.282 * [backup-simplify]: Simplify 1 into 1
5.282 * [backup-simplify]: Simplify (/ -1 1) into -1
5.283 * [backup-simplify]: Simplify (* -1 -1) into 1
5.283 * [backup-simplify]: Simplify (+ 0 1) into 1
5.284 * [backup-simplify]: Simplify (sqrt 1) into 1
5.284 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.285 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.286 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.286 * [backup-simplify]: Simplify (+ 0 0) into 0
5.287 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.287 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
5.287 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.287 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
5.287 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
5.287 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.287 * [taylor]: Taking taylor expansion of -1 in re
5.287 * [backup-simplify]: Simplify -1 into -1
5.287 * [taylor]: Taking taylor expansion of re in re
5.287 * [backup-simplify]: Simplify 0 into 0
5.287 * [backup-simplify]: Simplify 1 into 1
5.288 * [backup-simplify]: Simplify (/ -1 1) into -1
5.288 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.288 * [taylor]: Taking taylor expansion of -1 in re
5.288 * [backup-simplify]: Simplify -1 into -1
5.288 * [taylor]: Taking taylor expansion of re in re
5.288 * [backup-simplify]: Simplify 0 into 0
5.288 * [backup-simplify]: Simplify 1 into 1
5.288 * [backup-simplify]: Simplify (/ -1 1) into -1
5.288 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
5.288 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.289 * [taylor]: Taking taylor expansion of -1 in re
5.289 * [backup-simplify]: Simplify -1 into -1
5.289 * [taylor]: Taking taylor expansion of im in re
5.289 * [backup-simplify]: Simplify im into im
5.289 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.289 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.289 * [taylor]: Taking taylor expansion of -1 in re
5.289 * [backup-simplify]: Simplify -1 into -1
5.289 * [taylor]: Taking taylor expansion of im in re
5.289 * [backup-simplify]: Simplify im into im
5.289 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.289 * [backup-simplify]: Simplify (* -1 -1) into 1
5.290 * [backup-simplify]: Simplify (+ 1 0) into 1
5.290 * [backup-simplify]: Simplify (sqrt 1) into 1
5.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.292 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.292 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.293 * [backup-simplify]: Simplify (+ 0 0) into 0
5.294 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.294 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
5.294 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.294 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
5.294 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
5.294 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.294 * [taylor]: Taking taylor expansion of -1 in re
5.294 * [backup-simplify]: Simplify -1 into -1
5.294 * [taylor]: Taking taylor expansion of re in re
5.294 * [backup-simplify]: Simplify 0 into 0
5.294 * [backup-simplify]: Simplify 1 into 1
5.294 * [backup-simplify]: Simplify (/ -1 1) into -1
5.295 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.295 * [taylor]: Taking taylor expansion of -1 in re
5.295 * [backup-simplify]: Simplify -1 into -1
5.295 * [taylor]: Taking taylor expansion of re in re
5.295 * [backup-simplify]: Simplify 0 into 0
5.295 * [backup-simplify]: Simplify 1 into 1
5.295 * [backup-simplify]: Simplify (/ -1 1) into -1
5.295 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
5.295 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.295 * [taylor]: Taking taylor expansion of -1 in re
5.295 * [backup-simplify]: Simplify -1 into -1
5.295 * [taylor]: Taking taylor expansion of im in re
5.295 * [backup-simplify]: Simplify im into im
5.295 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.295 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.295 * [taylor]: Taking taylor expansion of -1 in re
5.295 * [backup-simplify]: Simplify -1 into -1
5.296 * [taylor]: Taking taylor expansion of im in re
5.296 * [backup-simplify]: Simplify im into im
5.296 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.296 * [backup-simplify]: Simplify (* -1 -1) into 1
5.296 * [backup-simplify]: Simplify (+ 1 0) into 1
5.297 * [backup-simplify]: Simplify (sqrt 1) into 1
5.298 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.298 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.299 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.299 * [backup-simplify]: Simplify (+ 0 0) into 0
5.300 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.300 * [taylor]: Taking taylor expansion of 1 in im
5.300 * [backup-simplify]: Simplify 1 into 1
5.300 * [taylor]: Taking taylor expansion of 0 in im
5.300 * [backup-simplify]: Simplify 0 into 0
5.300 * [backup-simplify]: Simplify 1 into 1
5.301 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.302 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.303 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
5.303 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
5.304 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.305 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.305 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.305 * [taylor]: Taking taylor expansion of 1/2 in im
5.305 * [backup-simplify]: Simplify 1/2 into 1/2
5.305 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.305 * [taylor]: Taking taylor expansion of im in im
5.305 * [backup-simplify]: Simplify 0 into 0
5.305 * [backup-simplify]: Simplify 1 into 1
5.306 * [backup-simplify]: Simplify (* 1 1) into 1
5.306 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.308 * [backup-simplify]: Simplify 0 into 0
5.308 * [backup-simplify]: Simplify 0 into 0
5.308 * [backup-simplify]: Simplify 0 into 0
5.309 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.310 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.311 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
5.311 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
5.311 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
5.311 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
5.312 * [backup-simplify]: Simplify (+ 0 0) into 0
5.312 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.312 * [taylor]: Taking taylor expansion of 0 in im
5.312 * [backup-simplify]: Simplify 0 into 0
5.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.314 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.314 * [backup-simplify]: Simplify 0 into 0
5.314 * [backup-simplify]: Simplify 0 into 0
5.314 * [backup-simplify]: Simplify 0 into 0
5.315 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
5.315 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
5.315 * [backup-simplify]: Simplify (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0)) into (* (sqrt (+ re (hypot re im))) (sqrt 2.0))
5.315 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0
5.315 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im
5.315 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im
5.315 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im
5.315 * [taylor]: Taking taylor expansion of re in im
5.315 * [backup-simplify]: Simplify re into re
5.315 * [taylor]: Taking taylor expansion of (hypot re im) in im
5.315 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.316 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
5.316 * [taylor]: Taking taylor expansion of (* re re) in im
5.316 * [taylor]: Taking taylor expansion of re in im
5.316 * [backup-simplify]: Simplify re into re
5.316 * [taylor]: Taking taylor expansion of re in im
5.316 * [backup-simplify]: Simplify re into re
5.316 * [taylor]: Taking taylor expansion of (* im im) in im
5.316 * [taylor]: Taking taylor expansion of im in im
5.316 * [backup-simplify]: Simplify 0 into 0
5.316 * [backup-simplify]: Simplify 1 into 1
5.316 * [taylor]: Taking taylor expansion of im in im
5.316 * [backup-simplify]: Simplify 0 into 0
5.316 * [backup-simplify]: Simplify 1 into 1
5.316 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.316 * [backup-simplify]: Simplify (* 0 0) into 0
5.317 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
5.317 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.317 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.317 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.318 * [backup-simplify]: Simplify (+ 0 0) into 0
5.318 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.318 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
5.318 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
5.319 * [backup-simplify]: Simplify (+ 0 0) into 0
5.319 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
5.319 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.319 * [taylor]: Taking taylor expansion of 2.0 in im
5.319 * [backup-simplify]: Simplify 2.0 into 2.0
5.319 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.320 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.320 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re
5.320 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re
5.320 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
5.320 * [taylor]: Taking taylor expansion of re in re
5.320 * [backup-simplify]: Simplify 0 into 0
5.320 * [backup-simplify]: Simplify 1 into 1
5.320 * [taylor]: Taking taylor expansion of (hypot re im) in re
5.320 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.320 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
5.320 * [taylor]: Taking taylor expansion of (* re re) in re
5.320 * [taylor]: Taking taylor expansion of re in re
5.320 * [backup-simplify]: Simplify 0 into 0
5.320 * [backup-simplify]: Simplify 1 into 1
5.320 * [taylor]: Taking taylor expansion of re in re
5.320 * [backup-simplify]: Simplify 0 into 0
5.320 * [backup-simplify]: Simplify 1 into 1
5.320 * [taylor]: Taking taylor expansion of (* im im) in re
5.320 * [taylor]: Taking taylor expansion of im in re
5.320 * [backup-simplify]: Simplify im into im
5.321 * [taylor]: Taking taylor expansion of im in re
5.321 * [backup-simplify]: Simplify im into im
5.321 * [backup-simplify]: Simplify (* 0 0) into 0
5.321 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.321 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.321 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.322 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.322 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.322 * [backup-simplify]: Simplify (+ 0 0) into 0
5.323 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.323 * [backup-simplify]: Simplify (+ 0 im) into im
5.323 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
5.323 * [backup-simplify]: Simplify (+ 1 0) into 1
5.323 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
5.323 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.323 * [taylor]: Taking taylor expansion of 2.0 in re
5.323 * [backup-simplify]: Simplify 2.0 into 2.0
5.324 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.324 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.324 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re
5.324 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re
5.324 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
5.324 * [taylor]: Taking taylor expansion of re in re
5.325 * [backup-simplify]: Simplify 0 into 0
5.325 * [backup-simplify]: Simplify 1 into 1
5.325 * [taylor]: Taking taylor expansion of (hypot re im) in re
5.325 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.325 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
5.325 * [taylor]: Taking taylor expansion of (* re re) in re
5.325 * [taylor]: Taking taylor expansion of re in re
5.325 * [backup-simplify]: Simplify 0 into 0
5.325 * [backup-simplify]: Simplify 1 into 1
5.325 * [taylor]: Taking taylor expansion of re in re
5.325 * [backup-simplify]: Simplify 0 into 0
5.325 * [backup-simplify]: Simplify 1 into 1
5.325 * [taylor]: Taking taylor expansion of (* im im) in re
5.325 * [taylor]: Taking taylor expansion of im in re
5.325 * [backup-simplify]: Simplify im into im
5.325 * [taylor]: Taking taylor expansion of im in re
5.325 * [backup-simplify]: Simplify im into im
5.325 * [backup-simplify]: Simplify (* 0 0) into 0
5.326 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.326 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.326 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.326 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.327 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.327 * [backup-simplify]: Simplify (+ 0 0) into 0
5.327 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.327 * [backup-simplify]: Simplify (+ 0 im) into im
5.327 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
5.328 * [backup-simplify]: Simplify (+ 1 0) into 1
5.328 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
5.328 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.328 * [taylor]: Taking taylor expansion of 2.0 in re
5.328 * [backup-simplify]: Simplify 2.0 into 2.0
5.328 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.329 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.330 * [backup-simplify]: Simplify (* (sqrt im) (sqrt 2.0)) into (* (sqrt 2.0) (sqrt im))
5.330 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
5.330 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.330 * [taylor]: Taking taylor expansion of 2.0 in im
5.330 * [backup-simplify]: Simplify 2.0 into 2.0
5.330 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.331 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.331 * [taylor]: Taking taylor expansion of (sqrt im) in im
5.331 * [taylor]: Taking taylor expansion of im in im
5.331 * [backup-simplify]: Simplify 0 into 0
5.331 * [backup-simplify]: Simplify 1 into 1
5.331 * [backup-simplify]: Simplify (sqrt 0) into 0
5.333 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.334 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
5.334 * [backup-simplify]: Simplify 0 into 0
5.334 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* (* 1/2 (sqrt (/ 1 im))) (sqrt 2.0))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
5.334 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
5.334 * [taylor]: Taking taylor expansion of 1/2 in im
5.335 * [backup-simplify]: Simplify 1/2 into 1/2
5.335 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
5.335 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.335 * [taylor]: Taking taylor expansion of 2.0 in im
5.335 * [backup-simplify]: Simplify 2.0 into 2.0
5.335 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.336 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.336 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
5.336 * [taylor]: Taking taylor expansion of (/ 1 im) in im
5.336 * [taylor]: Taking taylor expansion of im in im
5.336 * [backup-simplify]: Simplify 0 into 0
5.336 * [backup-simplify]: Simplify 1 into 1
5.336 * [backup-simplify]: Simplify (/ 1 1) into 1
5.337 * [backup-simplify]: Simplify (sqrt 0) into 0
5.338 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.340 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
5.341 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
5.345 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
5.347 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.349 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
5.350 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.352 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.352 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
5.353 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.353 * [backup-simplify]: Simplify (+ 1 0) into 1
5.354 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
5.354 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
5.355 * [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))))
5.356 * [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)))))
5.356 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
5.356 * [taylor]: Taking taylor expansion of 1/8 in im
5.356 * [backup-simplify]: Simplify 1/8 into 1/8
5.356 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
5.356 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.356 * [taylor]: Taking taylor expansion of 2.0 in im
5.356 * [backup-simplify]: Simplify 2.0 into 2.0
5.357 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.357 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.357 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
5.357 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
5.357 * [taylor]: Taking taylor expansion of (pow im 3) in im
5.357 * [taylor]: Taking taylor expansion of im in im
5.357 * [backup-simplify]: Simplify 0 into 0
5.357 * [backup-simplify]: Simplify 1 into 1
5.358 * [backup-simplify]: Simplify (* 1 1) into 1
5.358 * [backup-simplify]: Simplify (* 1 1) into 1
5.358 * [backup-simplify]: Simplify (/ 1 1) into 1
5.359 * [backup-simplify]: Simplify (sqrt 0) into 0
5.360 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.365 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.366 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.369 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
5.371 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
5.371 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
5.380 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
5.382 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.387 * [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)))))))
5.387 * [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))
5.387 * [approximate]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0
5.387 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im
5.387 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im
5.387 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
5.387 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
5.387 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.388 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
5.388 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
5.388 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.388 * [taylor]: Taking taylor expansion of re in im
5.388 * [backup-simplify]: Simplify re into re
5.388 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.388 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.388 * [taylor]: Taking taylor expansion of re in im
5.388 * [backup-simplify]: Simplify re into re
5.388 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.388 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
5.388 * [taylor]: Taking taylor expansion of (/ 1 im) in im
5.388 * [taylor]: Taking taylor expansion of im in im
5.388 * [backup-simplify]: Simplify 0 into 0
5.388 * [backup-simplify]: Simplify 1 into 1
5.388 * [backup-simplify]: Simplify (/ 1 1) into 1
5.388 * [taylor]: Taking taylor expansion of (/ 1 im) in im
5.389 * [taylor]: Taking taylor expansion of im in im
5.389 * [backup-simplify]: Simplify 0 into 0
5.389 * [backup-simplify]: Simplify 1 into 1
5.389 * [backup-simplify]: Simplify (/ 1 1) into 1
5.389 * [backup-simplify]: Simplify (* 1 1) into 1
5.390 * [backup-simplify]: Simplify (+ 0 1) into 1
5.390 * [backup-simplify]: Simplify (sqrt 1) into 1
5.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.392 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.393 * [backup-simplify]: Simplify (+ 0 0) into 0
5.394 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.394 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.394 * [taylor]: Taking taylor expansion of re in im
5.394 * [backup-simplify]: Simplify re into re
5.394 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.394 * [backup-simplify]: Simplify (+ 1 0) into 1
5.395 * [backup-simplify]: Simplify (sqrt 0) into 0
5.396 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.396 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.396 * [taylor]: Taking taylor expansion of 2.0 in im
5.396 * [backup-simplify]: Simplify 2.0 into 2.0
5.396 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.397 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.397 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re
5.397 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re
5.397 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
5.397 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
5.398 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.398 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
5.398 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
5.398 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.398 * [taylor]: Taking taylor expansion of re in re
5.398 * [backup-simplify]: Simplify 0 into 0
5.398 * [backup-simplify]: Simplify 1 into 1
5.398 * [backup-simplify]: Simplify (/ 1 1) into 1
5.398 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.398 * [taylor]: Taking taylor expansion of re in re
5.398 * [backup-simplify]: Simplify 0 into 0
5.398 * [backup-simplify]: Simplify 1 into 1
5.399 * [backup-simplify]: Simplify (/ 1 1) into 1
5.399 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
5.399 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.399 * [taylor]: Taking taylor expansion of im in re
5.399 * [backup-simplify]: Simplify im into im
5.399 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.399 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.399 * [taylor]: Taking taylor expansion of im in re
5.399 * [backup-simplify]: Simplify im into im
5.399 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.399 * [backup-simplify]: Simplify (* 1 1) into 1
5.400 * [backup-simplify]: Simplify (+ 1 0) into 1
5.400 * [backup-simplify]: Simplify (sqrt 1) into 1
5.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.401 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.402 * [backup-simplify]: Simplify (+ 0 0) into 0
5.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.402 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.402 * [taylor]: Taking taylor expansion of re in re
5.402 * [backup-simplify]: Simplify 0 into 0
5.402 * [backup-simplify]: Simplify 1 into 1
5.402 * [backup-simplify]: Simplify (/ 1 1) into 1
5.403 * [backup-simplify]: Simplify (+ 1 1) into 2
5.403 * [backup-simplify]: Simplify (sqrt 0) into 0
5.404 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
5.404 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.404 * [taylor]: Taking taylor expansion of 2.0 in re
5.404 * [backup-simplify]: Simplify 2.0 into 2.0
5.404 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.404 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.404 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re
5.404 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re
5.404 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
5.404 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
5.405 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.405 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
5.405 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
5.405 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.405 * [taylor]: Taking taylor expansion of re in re
5.405 * [backup-simplify]: Simplify 0 into 0
5.405 * [backup-simplify]: Simplify 1 into 1
5.405 * [backup-simplify]: Simplify (/ 1 1) into 1
5.405 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.405 * [taylor]: Taking taylor expansion of re in re
5.405 * [backup-simplify]: Simplify 0 into 0
5.405 * [backup-simplify]: Simplify 1 into 1
5.405 * [backup-simplify]: Simplify (/ 1 1) into 1
5.405 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
5.405 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.405 * [taylor]: Taking taylor expansion of im in re
5.405 * [backup-simplify]: Simplify im into im
5.405 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.405 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.405 * [taylor]: Taking taylor expansion of im in re
5.405 * [backup-simplify]: Simplify im into im
5.405 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.406 * [backup-simplify]: Simplify (* 1 1) into 1
5.406 * [backup-simplify]: Simplify (+ 1 0) into 1
5.406 * [backup-simplify]: Simplify (sqrt 1) into 1
5.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.408 * [backup-simplify]: Simplify (+ 0 0) into 0
5.408 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.408 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.408 * [taylor]: Taking taylor expansion of re in re
5.408 * [backup-simplify]: Simplify 0 into 0
5.408 * [backup-simplify]: Simplify 1 into 1
5.408 * [backup-simplify]: Simplify (/ 1 1) into 1
5.408 * [backup-simplify]: Simplify (+ 1 1) into 2
5.409 * [backup-simplify]: Simplify (sqrt 0) into 0
5.409 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
5.409 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.410 * [taylor]: Taking taylor expansion of 2.0 in re
5.410 * [backup-simplify]: Simplify 2.0 into 2.0
5.410 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.410 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.411 * [backup-simplify]: Simplify (* 0 (sqrt 2.0)) into 0
5.411 * [taylor]: Taking taylor expansion of 0 in im
5.411 * [backup-simplify]: Simplify 0 into 0
5.412 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.412 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
5.412 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
5.412 * [taylor]: Taking taylor expansion of +nan.0 in im
5.412 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.412 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.412 * [taylor]: Taking taylor expansion of 2.0 in im
5.412 * [backup-simplify]: Simplify 2.0 into 2.0
5.412 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.413 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.413 * [backup-simplify]: Simplify 0 into 0
5.413 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.414 * [backup-simplify]: Simplify (+ 0 0) into 0
5.416 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.418 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
5.418 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
5.418 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
5.418 * [taylor]: Taking taylor expansion of +nan.0 in im
5.418 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.418 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.418 * [taylor]: Taking taylor expansion of 2.0 in im
5.418 * [backup-simplify]: Simplify 2.0 into 2.0
5.418 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.419 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
5.420 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.421 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.421 * [backup-simplify]: Simplify 0 into 0
5.422 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.423 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
5.423 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.424 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.425 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
5.426 * [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))
5.427 * [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)))))
5.427 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
5.427 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
5.427 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
5.427 * [taylor]: Taking taylor expansion of +nan.0 in im
5.427 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.427 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
5.427 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.427 * [taylor]: Taking taylor expansion of 2.0 in im
5.427 * [backup-simplify]: Simplify 2.0 into 2.0
5.428 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.428 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.428 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.428 * [taylor]: Taking taylor expansion of im in im
5.428 * [backup-simplify]: Simplify 0 into 0
5.428 * [backup-simplify]: Simplify 1 into 1
5.428 * [backup-simplify]: Simplify (* 1 1) into 1
5.429 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.429 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
5.429 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
5.429 * [taylor]: Taking taylor expansion of +nan.0 in im
5.429 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.429 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.429 * [taylor]: Taking taylor expansion of 2.0 in im
5.429 * [backup-simplify]: Simplify 2.0 into 2.0
5.429 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.430 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.430 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.431 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
5.431 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
5.431 * [backup-simplify]: Simplify (+ 0 0) into 0
5.432 * [backup-simplify]: Simplify (- 0) into 0
5.432 * [backup-simplify]: Simplify 0 into 0
5.432 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
5.434 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.435 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.436 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
5.436 * [backup-simplify]: Simplify (- 0) into 0
5.436 * [backup-simplify]: Simplify 0 into 0
5.436 * [backup-simplify]: Simplify 0 into 0
5.438 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
5.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
5.441 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
5.441 * [backup-simplify]: Simplify (+ 0 0) into 0
5.442 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.444 * [backup-simplify]: Simplify (+ 0 0) into 0
5.445 * [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)))
5.448 * [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)))))
5.448 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
5.448 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
5.448 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
5.448 * [taylor]: Taking taylor expansion of +nan.0 in im
5.448 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.448 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
5.448 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.448 * [taylor]: Taking taylor expansion of 2.0 in im
5.448 * [backup-simplify]: Simplify 2.0 into 2.0
5.448 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.449 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.449 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.449 * [taylor]: Taking taylor expansion of im in im
5.449 * [backup-simplify]: Simplify 0 into 0
5.449 * [backup-simplify]: Simplify 1 into 1
5.450 * [backup-simplify]: Simplify (* 1 1) into 1
5.450 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.451 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
5.451 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
5.451 * [taylor]: Taking taylor expansion of +nan.0 in im
5.451 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.451 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.451 * [taylor]: Taking taylor expansion of 2.0 in im
5.451 * [backup-simplify]: Simplify 2.0 into 2.0
5.451 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.452 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.452 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
5.454 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
5.455 * [backup-simplify]: Simplify (+ 0 0) into 0
5.455 * [backup-simplify]: Simplify (- 0) into 0
5.455 * [backup-simplify]: Simplify 0 into 0
5.456 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.459 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
5.460 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
5.462 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.464 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
5.467 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
5.469 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.475 * [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)))))))
5.475 * [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))))
5.475 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0
5.476 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im
5.476 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.476 * [taylor]: Taking taylor expansion of 2.0 in im
5.476 * [backup-simplify]: Simplify 2.0 into 2.0
5.476 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.477 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im
5.477 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
5.477 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
5.477 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.477 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
5.478 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
5.478 * [taylor]: Taking taylor expansion of (/ -1 re) in im
5.478 * [taylor]: Taking taylor expansion of -1 in im
5.478 * [backup-simplify]: Simplify -1 into -1
5.478 * [taylor]: Taking taylor expansion of re in im
5.478 * [backup-simplify]: Simplify re into re
5.478 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
5.478 * [taylor]: Taking taylor expansion of (/ -1 re) in im
5.478 * [taylor]: Taking taylor expansion of -1 in im
5.478 * [backup-simplify]: Simplify -1 into -1
5.478 * [taylor]: Taking taylor expansion of re in im
5.478 * [backup-simplify]: Simplify re into re
5.478 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
5.478 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
5.478 * [taylor]: Taking taylor expansion of (/ -1 im) in im
5.478 * [taylor]: Taking taylor expansion of -1 in im
5.478 * [backup-simplify]: Simplify -1 into -1
5.478 * [taylor]: Taking taylor expansion of im in im
5.478 * [backup-simplify]: Simplify 0 into 0
5.478 * [backup-simplify]: Simplify 1 into 1
5.479 * [backup-simplify]: Simplify (/ -1 1) into -1
5.479 * [taylor]: Taking taylor expansion of (/ -1 im) in im
5.479 * [taylor]: Taking taylor expansion of -1 in im
5.479 * [backup-simplify]: Simplify -1 into -1
5.479 * [taylor]: Taking taylor expansion of im in im
5.479 * [backup-simplify]: Simplify 0 into 0
5.479 * [backup-simplify]: Simplify 1 into 1
5.479 * [backup-simplify]: Simplify (/ -1 1) into -1
5.480 * [backup-simplify]: Simplify (* -1 -1) into 1
5.480 * [backup-simplify]: Simplify (+ 0 1) into 1
5.481 * [backup-simplify]: Simplify (sqrt 1) into 1
5.481 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.482 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.483 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.483 * [backup-simplify]: Simplify (+ 0 0) into 0
5.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.484 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.484 * [taylor]: Taking taylor expansion of re in im
5.484 * [backup-simplify]: Simplify re into re
5.484 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.485 * [backup-simplify]: Simplify (+ 1 0) into 1
5.485 * [backup-simplify]: Simplify (sqrt 0) into 0
5.487 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.487 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re
5.487 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.487 * [taylor]: Taking taylor expansion of 2.0 in re
5.487 * [backup-simplify]: Simplify 2.0 into 2.0
5.487 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.488 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.488 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
5.488 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
5.488 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
5.488 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.488 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
5.488 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
5.488 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.488 * [taylor]: Taking taylor expansion of -1 in re
5.488 * [backup-simplify]: Simplify -1 into -1
5.489 * [taylor]: Taking taylor expansion of re in re
5.489 * [backup-simplify]: Simplify 0 into 0
5.489 * [backup-simplify]: Simplify 1 into 1
5.489 * [backup-simplify]: Simplify (/ -1 1) into -1
5.489 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.489 * [taylor]: Taking taylor expansion of -1 in re
5.489 * [backup-simplify]: Simplify -1 into -1
5.489 * [taylor]: Taking taylor expansion of re in re
5.489 * [backup-simplify]: Simplify 0 into 0
5.489 * [backup-simplify]: Simplify 1 into 1
5.490 * [backup-simplify]: Simplify (/ -1 1) into -1
5.490 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
5.490 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.490 * [taylor]: Taking taylor expansion of -1 in re
5.490 * [backup-simplify]: Simplify -1 into -1
5.490 * [taylor]: Taking taylor expansion of im in re
5.490 * [backup-simplify]: Simplify im into im
5.490 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.490 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.490 * [taylor]: Taking taylor expansion of -1 in re
5.490 * [backup-simplify]: Simplify -1 into -1
5.490 * [taylor]: Taking taylor expansion of im in re
5.490 * [backup-simplify]: Simplify im into im
5.490 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.491 * [backup-simplify]: Simplify (* -1 -1) into 1
5.491 * [backup-simplify]: Simplify (+ 1 0) into 1
5.491 * [backup-simplify]: Simplify (sqrt 1) into 1
5.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.493 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.494 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.494 * [backup-simplify]: Simplify (+ 0 0) into 0
5.495 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.495 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.495 * [taylor]: Taking taylor expansion of re in re
5.495 * [backup-simplify]: Simplify 0 into 0
5.495 * [backup-simplify]: Simplify 1 into 1
5.496 * [backup-simplify]: Simplify (/ 1 1) into 1
5.496 * [backup-simplify]: Simplify (- 1) into -1
5.497 * [backup-simplify]: Simplify (+ 1 -1) into 0
5.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.498 * [backup-simplify]: Simplify (- 0) into 0
5.498 * [backup-simplify]: Simplify (+ 0 0) into 0
5.499 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.500 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.501 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
5.501 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
5.502 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.503 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.504 * [backup-simplify]: Simplify (- 0) into 0
5.504 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
5.505 * [backup-simplify]: Simplify (sqrt 0) into 0
5.505 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
5.506 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re
5.506 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.506 * [taylor]: Taking taylor expansion of 2.0 in re
5.506 * [backup-simplify]: Simplify 2.0 into 2.0
5.506 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.510 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.511 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
5.511 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
5.511 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
5.511 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.511 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
5.511 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
5.511 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.511 * [taylor]: Taking taylor expansion of -1 in re
5.511 * [backup-simplify]: Simplify -1 into -1
5.511 * [taylor]: Taking taylor expansion of re in re
5.511 * [backup-simplify]: Simplify 0 into 0
5.511 * [backup-simplify]: Simplify 1 into 1
5.512 * [backup-simplify]: Simplify (/ -1 1) into -1
5.512 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.512 * [taylor]: Taking taylor expansion of -1 in re
5.512 * [backup-simplify]: Simplify -1 into -1
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 im) (/ -1 im)) in re
5.513 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.513 * [taylor]: Taking taylor expansion of -1 in re
5.513 * [backup-simplify]: Simplify -1 into -1
5.513 * [taylor]: Taking taylor expansion of im in re
5.513 * [backup-simplify]: Simplify im into im
5.513 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.513 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.513 * [taylor]: Taking taylor expansion of -1 in re
5.513 * [backup-simplify]: Simplify -1 into -1
5.513 * [taylor]: Taking taylor expansion of im in re
5.513 * [backup-simplify]: Simplify im into im
5.513 * [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 (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -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
5.519 * [backup-simplify]: Simplify (/ 1 1) into 1
5.519 * [backup-simplify]: Simplify (- 1) into -1
5.519 * [backup-simplify]: Simplify (+ 1 -1) into 0
5.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.521 * [backup-simplify]: Simplify (- 0) into 0
5.521 * [backup-simplify]: Simplify (+ 0 0) into 0
5.522 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.523 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.524 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
5.524 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
5.524 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.525 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.526 * [backup-simplify]: Simplify (- 0) into 0
5.526 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
5.526 * [backup-simplify]: Simplify (sqrt 0) into 0
5.527 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
5.527 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
5.527 * [taylor]: Taking taylor expansion of 0 in im
5.527 * [backup-simplify]: Simplify 0 into 0
5.528 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
5.528 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
5.528 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
5.528 * [taylor]: Taking taylor expansion of +nan.0 in im
5.528 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.528 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
5.528 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.528 * [taylor]: Taking taylor expansion of 2.0 in im
5.528 * [backup-simplify]: Simplify 2.0 into 2.0
5.528 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.529 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.529 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.529 * [taylor]: Taking taylor expansion of im in im
5.529 * [backup-simplify]: Simplify 0 into 0
5.529 * [backup-simplify]: Simplify 1 into 1
5.529 * [backup-simplify]: Simplify (* 1 1) into 1
5.530 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.530 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.531 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
5.531 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
5.531 * [backup-simplify]: Simplify (- 0) into 0
5.531 * [backup-simplify]: Simplify 0 into 0
5.531 * [backup-simplify]: Simplify 0 into 0
5.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.533 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
5.533 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
5.533 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
5.533 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
5.534 * [backup-simplify]: Simplify (+ 0 0) into 0
5.534 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.535 * [backup-simplify]: Simplify (- 0) into 0
5.535 * [backup-simplify]: Simplify (+ 0 0) into 0
5.536 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
5.536 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.537 * [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))))
5.537 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
5.537 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
5.537 * [taylor]: Taking taylor expansion of +nan.0 in im
5.537 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.537 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
5.537 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.537 * [taylor]: Taking taylor expansion of 2.0 in im
5.537 * [backup-simplify]: Simplify 2.0 into 2.0
5.537 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.538 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.538 * [taylor]: Taking taylor expansion of (pow im 4) in im
5.538 * [taylor]: Taking taylor expansion of im in im
5.538 * [backup-simplify]: Simplify 0 into 0
5.538 * [backup-simplify]: Simplify 1 into 1
5.538 * [backup-simplify]: Simplify (* 1 1) into 1
5.538 * [backup-simplify]: Simplify (* 1 1) into 1
5.539 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.540 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.540 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.541 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
5.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.545 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.545 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.546 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
5.546 * [backup-simplify]: Simplify (- 0) into 0
5.546 * [backup-simplify]: Simplify 0 into 0
5.547 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.549 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) 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
5.550 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.550 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.551 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
5.551 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
5.551 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
5.552 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0
5.552 * [backup-simplify]: Simplify (+ 0 0) into 0
5.553 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
5.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.553 * [backup-simplify]: Simplify (- 0) into 0
5.554 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
5.554 * [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))))))
5.555 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.556 * [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))))))
5.556 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
5.556 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
5.556 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
5.556 * [taylor]: Taking taylor expansion of +nan.0 in im
5.556 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.556 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
5.556 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.556 * [taylor]: Taking taylor expansion of 2.0 in im
5.556 * [backup-simplify]: Simplify 2.0 into 2.0
5.557 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.557 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.557 * [taylor]: Taking taylor expansion of (pow im 4) in im
5.557 * [taylor]: Taking taylor expansion of im in im
5.558 * [backup-simplify]: Simplify 0 into 0
5.558 * [backup-simplify]: Simplify 1 into 1
5.558 * [backup-simplify]: Simplify (* 1 1) into 1
5.558 * [backup-simplify]: Simplify (* 1 1) into 1
5.559 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.559 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
5.559 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
5.559 * [taylor]: Taking taylor expansion of +nan.0 in im
5.559 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.559 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
5.559 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.559 * [taylor]: Taking taylor expansion of 2.0 in im
5.559 * [backup-simplify]: Simplify 2.0 into 2.0
5.560 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.561 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.561 * [taylor]: Taking taylor expansion of (pow im 6) in im
5.561 * [taylor]: Taking taylor expansion of im in im
5.561 * [backup-simplify]: Simplify 0 into 0
5.561 * [backup-simplify]: Simplify 1 into 1
5.561 * [backup-simplify]: Simplify (* 1 1) into 1
5.561 * [backup-simplify]: Simplify (* 1 1) into 1
5.562 * [backup-simplify]: Simplify (* 1 1) into 1
5.563 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.564 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.565 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.567 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.570 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.571 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
5.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.574 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.576 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
5.577 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.578 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.580 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.581 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.590 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.596 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
5.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.602 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.604 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.605 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.607 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
5.607 * [backup-simplify]: Simplify (- 0) into 0
5.607 * [backup-simplify]: Simplify (+ 0 0) into 0
5.608 * [backup-simplify]: Simplify (- 0) into 0
5.608 * [backup-simplify]: Simplify 0 into 0
5.608 * [backup-simplify]: Simplify 0 into 0
5.608 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2 2)
5.608 * [backup-simplify]: Simplify (sqrt (hypot re im)) into (sqrt (hypot re im))
5.608 * [approximate]: Taking taylor expansion of (sqrt (hypot re im)) in (re im) around 0
5.608 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im
5.608 * [taylor]: Taking taylor expansion of (hypot re im) in im
5.608 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.608 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
5.608 * [taylor]: Taking taylor expansion of (* re re) in im
5.608 * [taylor]: Taking taylor expansion of re in im
5.608 * [backup-simplify]: Simplify re into re
5.608 * [taylor]: Taking taylor expansion of re in im
5.609 * [backup-simplify]: Simplify re into re
5.609 * [taylor]: Taking taylor expansion of (* im im) in im
5.609 * [taylor]: Taking taylor expansion of im in im
5.609 * [backup-simplify]: Simplify 0 into 0
5.609 * [backup-simplify]: Simplify 1 into 1
5.609 * [taylor]: Taking taylor expansion of im in im
5.609 * [backup-simplify]: Simplify 0 into 0
5.609 * [backup-simplify]: Simplify 1 into 1
5.609 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.609 * [backup-simplify]: Simplify (* 0 0) into 0
5.609 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
5.609 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.609 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.610 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.610 * [backup-simplify]: Simplify (+ 0 0) into 0
5.610 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.610 * [backup-simplify]: Simplify (sqrt re) into (sqrt re)
5.610 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0
5.610 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
5.610 * [taylor]: Taking taylor expansion of (hypot re im) in re
5.610 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.610 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
5.610 * [taylor]: Taking taylor expansion of (* re re) in re
5.610 * [taylor]: Taking taylor expansion of re in re
5.610 * [backup-simplify]: Simplify 0 into 0
5.610 * [backup-simplify]: Simplify 1 into 1
5.610 * [taylor]: Taking taylor expansion of re in re
5.610 * [backup-simplify]: Simplify 0 into 0
5.610 * [backup-simplify]: Simplify 1 into 1
5.610 * [taylor]: Taking taylor expansion of (* im im) in re
5.610 * [taylor]: Taking taylor expansion of im in re
5.610 * [backup-simplify]: Simplify im into im
5.610 * [taylor]: Taking taylor expansion of im in re
5.610 * [backup-simplify]: Simplify im into im
5.611 * [backup-simplify]: Simplify (* 0 0) into 0
5.611 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.611 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.611 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.611 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.611 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.612 * [backup-simplify]: Simplify (+ 0 0) into 0
5.612 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.612 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
5.612 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
5.612 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
5.612 * [taylor]: Taking taylor expansion of (hypot re im) in re
5.612 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.612 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
5.612 * [taylor]: Taking taylor expansion of (* re re) in re
5.612 * [taylor]: Taking taylor expansion of re in re
5.612 * [backup-simplify]: Simplify 0 into 0
5.612 * [backup-simplify]: Simplify 1 into 1
5.612 * [taylor]: Taking taylor expansion of re in re
5.612 * [backup-simplify]: Simplify 0 into 0
5.612 * [backup-simplify]: Simplify 1 into 1
5.612 * [taylor]: Taking taylor expansion of (* im im) in re
5.612 * [taylor]: Taking taylor expansion of im in re
5.612 * [backup-simplify]: Simplify im into im
5.612 * [taylor]: Taking taylor expansion of im in re
5.612 * [backup-simplify]: Simplify im into im
5.612 * [backup-simplify]: Simplify (* 0 0) into 0
5.612 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.613 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.613 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.613 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.613 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.613 * [backup-simplify]: Simplify (+ 0 0) into 0
5.613 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.613 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
5.614 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
5.614 * [taylor]: Taking taylor expansion of (sqrt im) in im
5.614 * [taylor]: Taking taylor expansion of im in im
5.614 * [backup-simplify]: Simplify 0 into 0
5.614 * [backup-simplify]: Simplify 1 into 1
5.614 * [backup-simplify]: Simplify (sqrt 0) into 0
5.615 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.615 * [backup-simplify]: Simplify 0 into 0
5.615 * [taylor]: Taking taylor expansion of 0 in im
5.615 * [backup-simplify]: Simplify 0 into 0
5.615 * [backup-simplify]: Simplify 0 into 0
5.615 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.615 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
5.616 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.616 * [backup-simplify]: Simplify (+ 1 0) into 1
5.616 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
5.617 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
5.617 * [taylor]: Taking taylor expansion of (* 1/4 (sqrt (/ 1 (pow im 3)))) in im
5.617 * [taylor]: Taking taylor expansion of 1/4 in im
5.617 * [backup-simplify]: Simplify 1/4 into 1/4
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
5.617 * [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
5.618 * [backup-simplify]: Simplify (sqrt 0) into 0
5.619 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.619 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.620 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.622 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.623 * [backup-simplify]: Simplify (+ (* 1/4 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0)
5.623 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
5.623 * [backup-simplify]: Simplify 0 into 0
5.625 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.625 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.626 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* im 1) 2)) (+ (* (- +nan.0) (pow (* 1 re) 2)) (* +nan.0 (* im 1)))) into (- (+ (* +nan.0 (pow re 2)) (- (+ (* +nan.0 im) (- (* +nan.0 (pow im 2)))))))
5.626 * [backup-simplify]: Simplify (sqrt (hypot (/ 1 re) (/ 1 im))) into (sqrt (hypot (/ 1 re) (/ 1 im)))
5.626 * [approximate]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in (re im) around 0
5.626 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
5.626 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
5.626 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.626 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
5.626 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
5.626 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.626 * [taylor]: Taking taylor expansion of re in im
5.626 * [backup-simplify]: Simplify re into re
5.626 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.626 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.626 * [taylor]: Taking taylor expansion of re in im
5.626 * [backup-simplify]: Simplify re into re
5.626 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.626 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
5.626 * [taylor]: Taking taylor expansion of (/ 1 im) in im
5.626 * [taylor]: Taking taylor expansion of im in im
5.626 * [backup-simplify]: Simplify 0 into 0
5.626 * [backup-simplify]: Simplify 1 into 1
5.627 * [backup-simplify]: Simplify (/ 1 1) into 1
5.627 * [taylor]: Taking taylor expansion of (/ 1 im) in im
5.627 * [taylor]: Taking taylor expansion of im in im
5.627 * [backup-simplify]: Simplify 0 into 0
5.627 * [backup-simplify]: Simplify 1 into 1
5.627 * [backup-simplify]: Simplify (/ 1 1) into 1
5.627 * [backup-simplify]: Simplify (* 1 1) into 1
5.630 * [backup-simplify]: Simplify (+ 0 1) into 1
5.631 * [backup-simplify]: Simplify (sqrt 1) into 1
5.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.632 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.632 * [backup-simplify]: Simplify (+ 0 0) into 0
5.633 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.633 * [backup-simplify]: Simplify (sqrt 0) into 0
5.634 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.634 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
5.634 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
5.634 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.634 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
5.634 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
5.634 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.634 * [taylor]: Taking taylor expansion of re in re
5.634 * [backup-simplify]: Simplify 0 into 0
5.634 * [backup-simplify]: Simplify 1 into 1
5.634 * [backup-simplify]: Simplify (/ 1 1) into 1
5.634 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.634 * [taylor]: Taking taylor expansion of re in re
5.634 * [backup-simplify]: Simplify 0 into 0
5.634 * [backup-simplify]: Simplify 1 into 1
5.635 * [backup-simplify]: Simplify (/ 1 1) into 1
5.635 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
5.635 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.635 * [taylor]: Taking taylor expansion of im in re
5.635 * [backup-simplify]: Simplify im into im
5.635 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.635 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.635 * [taylor]: Taking taylor expansion of im in re
5.635 * [backup-simplify]: Simplify im into im
5.635 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.635 * [backup-simplify]: Simplify (* 1 1) into 1
5.635 * [backup-simplify]: Simplify (+ 1 0) into 1
5.636 * [backup-simplify]: Simplify (sqrt 1) into 1
5.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.637 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.637 * [backup-simplify]: Simplify (+ 0 0) into 0
5.638 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.638 * [backup-simplify]: Simplify (sqrt 0) into 0
5.638 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.639 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
5.639 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
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 re
5.639 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
5.639 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.639 * [taylor]: Taking taylor expansion of re in re
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 re) in re
5.639 * [taylor]: Taking taylor expansion of re in re
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) (/ 1 im)) in re
5.639 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.639 * [taylor]: Taking taylor expansion of im in re
5.639 * [backup-simplify]: Simplify im into im
5.639 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.640 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.640 * [taylor]: Taking taylor expansion of im in re
5.640 * [backup-simplify]: Simplify im into im
5.640 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.640 * [backup-simplify]: Simplify (* 1 1) into 1
5.640 * [backup-simplify]: Simplify (+ 1 0) into 1
5.640 * [backup-simplify]: Simplify (sqrt 1) into 1
5.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.642 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.643 * [backup-simplify]: Simplify (+ 0 0) into 0
5.643 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.644 * [backup-simplify]: Simplify (sqrt 0) into 0
5.646 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.646 * [taylor]: Taking taylor expansion of 0 in im
5.646 * [backup-simplify]: Simplify 0 into 0
5.646 * [taylor]: Taking taylor expansion of +nan.0 in im
5.646 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.646 * [backup-simplify]: Simplify 0 into 0
5.649 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.649 * [taylor]: Taking taylor expansion of +nan.0 in im
5.649 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.649 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.649 * [backup-simplify]: Simplify 0 into 0
5.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.652 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
5.652 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.653 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.654 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
5.654 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im
5.654 * [taylor]: Taking taylor expansion of +nan.0 in im
5.654 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.654 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im
5.654 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
5.654 * [taylor]: Taking taylor expansion of 1/2 in im
5.654 * [backup-simplify]: Simplify 1/2 into 1/2
5.654 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.654 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.654 * [taylor]: Taking taylor expansion of im in im
5.654 * [backup-simplify]: Simplify 0 into 0
5.654 * [backup-simplify]: Simplify 1 into 1
5.655 * [backup-simplify]: Simplify (* 1 1) into 1
5.655 * [backup-simplify]: Simplify (/ 1 1) into 1
5.655 * [taylor]: Taking taylor expansion of +nan.0 in im
5.655 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.655 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.656 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.656 * [backup-simplify]: Simplify (+ 0 0) into 0
5.657 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.657 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
5.657 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0
5.657 * [backup-simplify]: Simplify 0 into 0
5.657 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.657 * [backup-simplify]: Simplify 0 into 0
5.657 * [backup-simplify]: Simplify 0 into 0
5.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.659 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
5.659 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
5.659 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
5.659 * [backup-simplify]: Simplify (+ 0 0) into 0
5.660 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.661 * [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)))
5.661 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im
5.661 * [taylor]: Taking taylor expansion of +nan.0 in im
5.661 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.661 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im
5.661 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im
5.661 * [taylor]: Taking taylor expansion of +nan.0 in im
5.661 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.661 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.661 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.661 * [taylor]: Taking taylor expansion of im in im
5.661 * [backup-simplify]: Simplify 0 into 0
5.661 * [backup-simplify]: Simplify 1 into 1
5.661 * [backup-simplify]: Simplify (* 1 1) into 1
5.661 * [backup-simplify]: Simplify (/ 1 1) into 1
5.661 * [taylor]: Taking taylor expansion of (- +nan.0) in im
5.661 * [taylor]: Taking taylor expansion of +nan.0 in im
5.661 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.662 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.663 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0
5.663 * [backup-simplify]: Simplify (+ 0 0) into 0
5.663 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
5.663 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
5.664 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0
5.664 * [backup-simplify]: Simplify 0 into 0
5.664 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.666 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
5.666 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
5.666 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
5.668 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0)
5.668 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
5.669 * [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)))))
5.669 * [backup-simplify]: Simplify (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) into (sqrt (hypot (/ -1 re) (/ -1 im)))
5.669 * [approximate]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in (re im) around 0
5.669 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im
5.669 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
5.669 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.669 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
5.669 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
5.669 * [taylor]: Taking taylor expansion of (/ -1 re) in im
5.669 * [taylor]: Taking taylor expansion of -1 in im
5.669 * [backup-simplify]: Simplify -1 into -1
5.669 * [taylor]: Taking taylor expansion of re in im
5.669 * [backup-simplify]: Simplify re into re
5.669 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
5.669 * [taylor]: Taking taylor expansion of (/ -1 re) in im
5.669 * [taylor]: Taking taylor expansion of -1 in im
5.669 * [backup-simplify]: Simplify -1 into -1
5.669 * [taylor]: Taking taylor expansion of re in im
5.669 * [backup-simplify]: Simplify re into re
5.669 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
5.669 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
5.669 * [taylor]: Taking taylor expansion of (/ -1 im) in im
5.669 * [taylor]: Taking taylor expansion of -1 in im
5.669 * [backup-simplify]: Simplify -1 into -1
5.669 * [taylor]: Taking taylor expansion of im in im
5.669 * [backup-simplify]: Simplify 0 into 0
5.669 * [backup-simplify]: Simplify 1 into 1
5.670 * [backup-simplify]: Simplify (/ -1 1) into -1
5.670 * [taylor]: Taking taylor expansion of (/ -1 im) in im
5.670 * [taylor]: Taking taylor expansion of -1 in im
5.670 * [backup-simplify]: Simplify -1 into -1
5.670 * [taylor]: Taking taylor expansion of im in im
5.670 * [backup-simplify]: Simplify 0 into 0
5.670 * [backup-simplify]: Simplify 1 into 1
5.670 * [backup-simplify]: Simplify (/ -1 1) into -1
5.670 * [backup-simplify]: Simplify (* -1 -1) into 1
5.670 * [backup-simplify]: Simplify (+ 0 1) into 1
5.671 * [backup-simplify]: Simplify (sqrt 1) into 1
5.671 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.672 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.672 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.672 * [backup-simplify]: Simplify (+ 0 0) into 0
5.673 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.673 * [backup-simplify]: Simplify (sqrt 0) into 0
5.674 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.674 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
5.674 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
5.674 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.674 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
5.674 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
5.674 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.674 * [taylor]: Taking taylor expansion of -1 in re
5.674 * [backup-simplify]: Simplify -1 into -1
5.674 * [taylor]: Taking taylor expansion of re in re
5.674 * [backup-simplify]: Simplify 0 into 0
5.674 * [backup-simplify]: Simplify 1 into 1
5.674 * [backup-simplify]: Simplify (/ -1 1) into -1
5.674 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.674 * [taylor]: Taking taylor expansion of -1 in re
5.674 * [backup-simplify]: Simplify -1 into -1
5.674 * [taylor]: Taking taylor expansion of re in re
5.674 * [backup-simplify]: Simplify 0 into 0
5.674 * [backup-simplify]: Simplify 1 into 1
5.675 * [backup-simplify]: Simplify (/ -1 1) into -1
5.675 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
5.675 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.675 * [taylor]: Taking taylor expansion of -1 in re
5.675 * [backup-simplify]: Simplify -1 into -1
5.675 * [taylor]: Taking taylor expansion of im in re
5.675 * [backup-simplify]: Simplify im into im
5.675 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.675 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.675 * [taylor]: Taking taylor expansion of -1 in re
5.675 * [backup-simplify]: Simplify -1 into -1
5.675 * [taylor]: Taking taylor expansion of im in re
5.675 * [backup-simplify]: Simplify im into im
5.675 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.675 * [backup-simplify]: Simplify (* -1 -1) into 1
5.675 * [backup-simplify]: Simplify (+ 1 0) into 1
5.676 * [backup-simplify]: Simplify (sqrt 1) into 1
5.676 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.677 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.677 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.677 * [backup-simplify]: Simplify (+ 0 0) into 0
5.678 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.678 * [backup-simplify]: Simplify (sqrt 0) into 0
5.679 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.679 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
5.679 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
5.679 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.679 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
5.679 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
5.679 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.679 * [taylor]: Taking taylor expansion of -1 in re
5.679 * [backup-simplify]: Simplify -1 into -1
5.679 * [taylor]: Taking taylor expansion of re in re
5.679 * [backup-simplify]: Simplify 0 into 0
5.679 * [backup-simplify]: Simplify 1 into 1
5.679 * [backup-simplify]: Simplify (/ -1 1) into -1
5.679 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.679 * [taylor]: Taking taylor expansion of -1 in re
5.679 * [backup-simplify]: Simplify -1 into -1
5.679 * [taylor]: Taking taylor expansion of re in re
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 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
5.680 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.680 * [taylor]: Taking taylor expansion of -1 in re
5.680 * [backup-simplify]: Simplify -1 into -1
5.680 * [taylor]: Taking taylor expansion of im in re
5.680 * [backup-simplify]: Simplify im into im
5.680 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.680 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.680 * [taylor]: Taking taylor expansion of -1 in re
5.680 * [backup-simplify]: Simplify -1 into -1
5.680 * [taylor]: Taking taylor expansion of im in re
5.680 * [backup-simplify]: Simplify im into im
5.680 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.680 * [backup-simplify]: Simplify (* -1 -1) into 1
5.680 * [backup-simplify]: Simplify (+ 1 0) into 1
5.681 * [backup-simplify]: Simplify (sqrt 1) into 1
5.681 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.682 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.682 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.682 * [backup-simplify]: Simplify (+ 0 0) into 0
5.683 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.683 * [backup-simplify]: Simplify (sqrt 0) into 0
5.684 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.684 * [taylor]: Taking taylor expansion of 0 in im
5.684 * [backup-simplify]: Simplify 0 into 0
5.684 * [taylor]: Taking taylor expansion of +nan.0 in im
5.684 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.684 * [backup-simplify]: Simplify 0 into 0
5.687 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.687 * [taylor]: Taking taylor expansion of +nan.0 in im
5.687 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.687 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.687 * [backup-simplify]: Simplify 0 into 0
5.688 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.689 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.690 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
5.690 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
5.690 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.691 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.693 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
5.693 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im
5.693 * [taylor]: Taking taylor expansion of +nan.0 in im
5.693 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.693 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im
5.693 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
5.693 * [taylor]: Taking taylor expansion of 1/2 in im
5.693 * [backup-simplify]: Simplify 1/2 into 1/2
5.693 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.693 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.694 * [taylor]: Taking taylor expansion of im in im
5.694 * [backup-simplify]: Simplify 0 into 0
5.694 * [backup-simplify]: Simplify 1 into 1
5.694 * [backup-simplify]: Simplify (* 1 1) into 1
5.695 * [backup-simplify]: Simplify (/ 1 1) into 1
5.695 * [taylor]: Taking taylor expansion of +nan.0 in im
5.695 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.695 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.697 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.697 * [backup-simplify]: Simplify (+ 0 0) into 0
5.698 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.698 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
5.699 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0
5.699 * [backup-simplify]: Simplify 0 into 0
5.699 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.699 * [backup-simplify]: Simplify 0 into 0
5.699 * [backup-simplify]: Simplify 0 into 0
5.700 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.701 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.702 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
5.702 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
5.702 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
5.703 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
5.703 * [backup-simplify]: Simplify (+ 0 0) into 0
5.704 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.705 * [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)))
5.705 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im
5.705 * [taylor]: Taking taylor expansion of +nan.0 in im
5.705 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.705 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im
5.705 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im
5.705 * [taylor]: Taking taylor expansion of +nan.0 in im
5.705 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.705 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.705 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.705 * [taylor]: Taking taylor expansion of im in im
5.705 * [backup-simplify]: Simplify 0 into 0
5.705 * [backup-simplify]: Simplify 1 into 1
5.706 * [backup-simplify]: Simplify (* 1 1) into 1
5.706 * [backup-simplify]: Simplify (/ 1 1) into 1
5.706 * [taylor]: Taking taylor expansion of (- +nan.0) in im
5.706 * [taylor]: Taking taylor expansion of +nan.0 in im
5.706 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.707 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.708 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0
5.709 * [backup-simplify]: Simplify (+ 0 0) into 0
5.709 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
5.709 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
5.710 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0
5.710 * [backup-simplify]: Simplify 0 into 0
5.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.713 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
5.714 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
5.715 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
5.717 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0)
5.718 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
5.719 * [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)))))
5.719 * * * [progress]: simplifying candidates
5.723 * [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 (sqrt (hypot re im)))
  (log1p (sqrt (hypot re im)))
  (log (sqrt (hypot re im)))
  (exp (sqrt (hypot re im)))
  (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))
  (cbrt (sqrt (hypot re im)))
  (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im)))
  (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))
  (sqrt (cbrt (hypot re im)))
  (sqrt (sqrt (hypot re im)))
  (sqrt (sqrt (hypot re im)))
  (sqrt 1)
  (sqrt (hypot re im))
  (/ 1 2)
  (sqrt (sqrt (hypot re im)))
  (sqrt (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
  (- (+ (* +nan.0 (pow re 2)) (- (+ (* +nan.0 im) (- (* +nan.0 (pow im 2)))))))
  (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0)))))
  (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0)))))
5.727 * * [simplify]: Extracting # 0 : cost  0
5.727 * * [simplify]: Extracting # 1 : cost  0
5.728 * * [simplify]: Extracting # 2 : cost  0
5.728 * * [simplify]: Extracting # 3 : cost  0
5.728 * * [simplify]: Extracting # 4 : cost  0
5.729 * * [simplify]: Extracting # 5 : cost  0
5.729 * * [simplify]: Extracting # 6 : cost  0
5.729 * * [simplify]: Extracting # 7 : cost  0
5.730 * * [simplify]: Extracting # 8 : cost  0
5.730 * * [simplify]: Extracting # 9 : cost  0
5.730 * * [simplify]: Extracting # 10 : cost  0
5.731 * * [simplify]: Extracting # 11 : cost  0
5.731 * * [simplify]: Extracting # 12 : cost  0
5.731 * * [simplify]: Extracting # 13 : cost  0
5.732 * * [simplify]: iteration  0 :  143  enodes  (cost  1359 )
5.789 * * [simplify]: Extracting # 0 : cost  0
5.790 * * [simplify]: Extracting # 1 : cost  0
5.790 * * [simplify]: Extracting # 2 : cost  0
5.791 * * [simplify]: Extracting # 3 : cost  0
5.791 * * [simplify]: iteration  1 :  337  enodes  (cost  767 )
6.034 * * [simplify]: Extracting # 0 : cost  0
6.037 * * [simplify]: Extracting # 1 : cost  0
6.041 * * [simplify]: Extracting # 2 : cost  0
6.043 * * [simplify]: Extracting # 3 : cost  0
6.046 * * [simplify]: Extracting # 4 : cost  0
6.049 * * [simplify]: iteration  2 :  1439  enodes  (cost  698 )
7.404 * * [simplify]: Extracting # 0 : cost  0
7.414 * * [simplify]: Extracting # 1 : cost  0
7.420 * * [simplify]: Extracting # 2 : cost  0
7.425 * * [simplify]: Extracting # 3 : cost  0
7.442 * * [simplify]: Extracting # 4 : cost  0
7.453 * * [simplify]: iteration done:  5001  enodes  (cost  689 )
7.454 * [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)))
  (- (pow re 2) (* (hypot re im) (hypot re im)))
  (- re (hypot re im))
  (expm1 (hypot re im))
  (log1p (hypot re im))
  1
  1
  2
  1
  1
  (* (hypot re im) (hypot re im))
  (hypot re im)
  (* (hypot re im) (hypot re im))
  2
  (log (hypot re im))
  (log (hypot re im))
  (exp (hypot re im))
  (pow (hypot re im) 3)
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (pow (hypot re im) 3)
  (* (hypot re im) (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (pow (cbrt (sqrt (hypot re im))) (+ 3 1))
  (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (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
  (* (cbrt (sqrt (hypot re im))) (pow (cbrt (sqrt (hypot re im))) (+ 3 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))) (+ 3 1))
  (* (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 (* (- (pow re 2) (* (hypot re im) (hypot re im))) 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 (sqrt (hypot re im)))
  (log1p (sqrt (hypot re im)))
  (log (sqrt (hypot re im)))
  (exp (sqrt (hypot re im)))
  (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))
  (cbrt (sqrt (hypot re im)))
  (pow (sqrt (hypot re im)) 3)
  (fabs (cbrt (hypot re im)))
  (sqrt (cbrt (hypot re im)))
  (sqrt (sqrt (hypot re im)))
  (sqrt (sqrt (hypot re im)))
  1
  (sqrt (hypot re im))
  1/2
  (sqrt (sqrt (hypot re im)))
  (sqrt (sqrt (hypot re im)))
  (+ re im)
  (* 2 re)
  0
  im
  re
  (- re)
  (fma (- (* (sqrt 2.0) (pow re 2))) +nan.0 (* (* +nan.0 (sqrt 2.0)) (- im re)))
  (fma (sqrt 2.0) (- +nan.0) (* +nan.0 (- (/ (sqrt 2.0) (pow re 2)) (/ (sqrt 2.0) re))))
  0
  (fma +nan.0 (- im (pow im 2)) (- (* +nan.0 (pow re 2))))
  (+ (- (/ +nan.0 re) +nan.0) (- (/ +nan.0 (* re re))))
  (+ (- (/ +nan.0 re) +nan.0) (- (/ +nan.0 (* re re))))
7.455 * * * [progress]: adding candidates to table
7.790 * * [progress]: iteration 4 / 4
7.790 * * * [progress]: picking best candidate
7.811 * * * * [pick]: Picked  #<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))))>
7.811 * * * [progress]: localizing error
7.860 * * * [progress]: generating rewritten candidates
7.860 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1)
7.873 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2 2 1 1)
7.874 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2 1 1 2)
7.875 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2 1 1 1)
7.877 * * * [progress]: generating series expansions
7.877 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1)
7.877 * [backup-simplify]: Simplify (+ re (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))))) into (+ re (hypot re im))
7.877 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0
7.877 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im
7.877 * [taylor]: Taking taylor expansion of re in im
7.878 * [backup-simplify]: Simplify re into re
7.878 * [taylor]: Taking taylor expansion of (hypot re im) in im
7.878 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
7.878 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
7.878 * [taylor]: Taking taylor expansion of (* re re) in im
7.878 * [taylor]: Taking taylor expansion of re in im
7.878 * [backup-simplify]: Simplify re into re
7.878 * [taylor]: Taking taylor expansion of re in im
7.878 * [backup-simplify]: Simplify re into re
7.878 * [taylor]: Taking taylor expansion of (* im im) in im
7.878 * [taylor]: Taking taylor expansion of im in im
7.878 * [backup-simplify]: Simplify 0 into 0
7.878 * [backup-simplify]: Simplify 1 into 1
7.878 * [taylor]: Taking taylor expansion of im in im
7.878 * [backup-simplify]: Simplify 0 into 0
7.878 * [backup-simplify]: Simplify 1 into 1
7.878 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.878 * [backup-simplify]: Simplify (* 0 0) into 0
7.878 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
7.879 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.879 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.879 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.879 * [backup-simplify]: Simplify (+ 0 0) into 0
7.879 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.879 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
7.879 * [taylor]: Taking taylor expansion of re in re
7.879 * [backup-simplify]: Simplify 0 into 0
7.879 * [backup-simplify]: Simplify 1 into 1
7.879 * [taylor]: Taking taylor expansion of (hypot re im) in re
7.880 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
7.880 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
7.880 * [taylor]: Taking taylor expansion of (* re re) in re
7.880 * [taylor]: Taking taylor expansion of re in re
7.880 * [backup-simplify]: Simplify 0 into 0
7.880 * [backup-simplify]: Simplify 1 into 1
7.880 * [taylor]: Taking taylor expansion of re in re
7.880 * [backup-simplify]: Simplify 0 into 0
7.880 * [backup-simplify]: Simplify 1 into 1
7.880 * [taylor]: Taking taylor expansion of (* im im) in re
7.880 * [taylor]: Taking taylor expansion of im in re
7.880 * [backup-simplify]: Simplify im into im
7.880 * [taylor]: Taking taylor expansion of im in re
7.880 * [backup-simplify]: Simplify im into im
7.880 * [backup-simplify]: Simplify (* 0 0) into 0
7.880 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.880 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
7.880 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.881 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.881 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.881 * [backup-simplify]: Simplify (+ 0 0) into 0
7.881 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.881 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
7.881 * [taylor]: Taking taylor expansion of re in re
7.881 * [backup-simplify]: Simplify 0 into 0
7.881 * [backup-simplify]: Simplify 1 into 1
7.881 * [taylor]: Taking taylor expansion of (hypot re im) in re
7.881 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
7.881 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
7.881 * [taylor]: Taking taylor expansion of (* re re) in re
7.881 * [taylor]: Taking taylor expansion of re in re
7.881 * [backup-simplify]: Simplify 0 into 0
7.881 * [backup-simplify]: Simplify 1 into 1
7.881 * [taylor]: Taking taylor expansion of re in re
7.881 * [backup-simplify]: Simplify 0 into 0
7.881 * [backup-simplify]: Simplify 1 into 1
7.881 * [taylor]: Taking taylor expansion of (* im im) in re
7.881 * [taylor]: Taking taylor expansion of im in re
7.881 * [backup-simplify]: Simplify im into im
7.881 * [taylor]: Taking taylor expansion of im in re
7.881 * [backup-simplify]: Simplify im into im
7.882 * [backup-simplify]: Simplify (* 0 0) into 0
7.882 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.882 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
7.882 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.882 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.882 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.883 * [backup-simplify]: Simplify (+ 0 0) into 0
7.883 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.883 * [backup-simplify]: Simplify (+ 0 im) into im
7.883 * [taylor]: Taking taylor expansion of im in im
7.883 * [backup-simplify]: Simplify 0 into 0
7.883 * [backup-simplify]: Simplify 1 into 1
7.883 * [backup-simplify]: Simplify 0 into 0
7.883 * [backup-simplify]: Simplify (+ 1 0) into 1
7.883 * [taylor]: Taking taylor expansion of 1 in im
7.883 * [backup-simplify]: Simplify 1 into 1
7.883 * [backup-simplify]: Simplify 1 into 1
7.883 * [backup-simplify]: Simplify 1 into 1
7.890 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
7.890 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
7.891 * [backup-simplify]: Simplify (+ 1 0) into 1
7.891 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
7.891 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
7.891 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
7.891 * [taylor]: Taking taylor expansion of 1/2 in im
7.891 * [backup-simplify]: Simplify 1/2 into 1/2
7.891 * [taylor]: Taking taylor expansion of (/ 1 im) in im
7.891 * [taylor]: Taking taylor expansion of im in im
7.891 * [backup-simplify]: Simplify 0 into 0
7.891 * [backup-simplify]: Simplify 1 into 1
7.892 * [backup-simplify]: Simplify (/ 1 1) into 1
7.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.892 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.892 * [backup-simplify]: Simplify 0 into 0
7.892 * [backup-simplify]: Simplify 0 into 0
7.892 * [backup-simplify]: Simplify 0 into 0
7.893 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
7.894 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
7.894 * [backup-simplify]: Simplify (+ 0 0) into 0
7.894 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
7.894 * [backup-simplify]: Simplify (+ 0 0) into 0
7.894 * [taylor]: Taking taylor expansion of 0 in im
7.894 * [backup-simplify]: Simplify 0 into 0
7.894 * [backup-simplify]: Simplify 0 into 0
7.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.895 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
7.895 * [backup-simplify]: Simplify 0 into 0
7.895 * [backup-simplify]: Simplify 0 into 0
7.895 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
7.896 * [backup-simplify]: Simplify (+ (/ 1 re) (* (sqrt (* (cbrt (hypot (/ 1 re) (/ 1 im))) (cbrt (hypot (/ 1 re) (/ 1 im))))) (* (sqrt (cbrt (hypot (/ 1 re) (/ 1 im)))) (sqrt (hypot (/ 1 re) (/ 1 im)))))) into (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))
7.896 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0
7.896 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
7.896 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
7.896 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
7.896 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
7.896 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
7.896 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.896 * [taylor]: Taking taylor expansion of re in im
7.896 * [backup-simplify]: Simplify re into re
7.896 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.896 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.896 * [taylor]: Taking taylor expansion of re in im
7.896 * [backup-simplify]: Simplify re into re
7.896 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.896 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
7.896 * [taylor]: Taking taylor expansion of (/ 1 im) in im
7.896 * [taylor]: Taking taylor expansion of im in im
7.896 * [backup-simplify]: Simplify 0 into 0
7.896 * [backup-simplify]: Simplify 1 into 1
7.897 * [backup-simplify]: Simplify (/ 1 1) into 1
7.897 * [taylor]: Taking taylor expansion of (/ 1 im) in im
7.897 * [taylor]: Taking taylor expansion of im in im
7.897 * [backup-simplify]: Simplify 0 into 0
7.897 * [backup-simplify]: Simplify 1 into 1
7.897 * [backup-simplify]: Simplify (/ 1 1) into 1
7.897 * [backup-simplify]: Simplify (* 1 1) into 1
7.897 * [backup-simplify]: Simplify (+ 0 1) into 1
7.898 * [backup-simplify]: Simplify (sqrt 1) into 1
7.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.899 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.899 * [backup-simplify]: Simplify (+ 0 0) into 0
7.900 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.900 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.900 * [taylor]: Taking taylor expansion of re in im
7.900 * [backup-simplify]: Simplify re into re
7.900 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.900 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
7.900 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
7.900 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
7.900 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
7.900 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
7.900 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.900 * [taylor]: Taking taylor expansion of re in re
7.900 * [backup-simplify]: Simplify 0 into 0
7.900 * [backup-simplify]: Simplify 1 into 1
7.900 * [backup-simplify]: Simplify (/ 1 1) into 1
7.900 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.900 * [taylor]: Taking taylor expansion of re in re
7.900 * [backup-simplify]: Simplify 0 into 0
7.900 * [backup-simplify]: Simplify 1 into 1
7.901 * [backup-simplify]: Simplify (/ 1 1) into 1
7.901 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
7.901 * [taylor]: Taking taylor expansion of (/ 1 im) in re
7.901 * [taylor]: Taking taylor expansion of im in re
7.901 * [backup-simplify]: Simplify im into im
7.901 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
7.901 * [taylor]: Taking taylor expansion of (/ 1 im) in re
7.901 * [taylor]: Taking taylor expansion of im in re
7.901 * [backup-simplify]: Simplify im into im
7.901 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
7.901 * [backup-simplify]: Simplify (* 1 1) into 1
7.901 * [backup-simplify]: Simplify (+ 1 0) into 1
7.902 * [backup-simplify]: Simplify (sqrt 1) into 1
7.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.903 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.903 * [backup-simplify]: Simplify (+ 0 0) into 0
7.904 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.904 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.904 * [taylor]: Taking taylor expansion of re in re
7.904 * [backup-simplify]: Simplify 0 into 0
7.904 * [backup-simplify]: Simplify 1 into 1
7.904 * [backup-simplify]: Simplify (/ 1 1) into 1
7.904 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
7.904 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
7.904 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
7.904 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
7.904 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
7.904 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.904 * [taylor]: Taking taylor expansion of re in re
7.904 * [backup-simplify]: Simplify 0 into 0
7.904 * [backup-simplify]: Simplify 1 into 1
7.904 * [backup-simplify]: Simplify (/ 1 1) into 1
7.905 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.905 * [taylor]: Taking taylor expansion of re in re
7.905 * [backup-simplify]: Simplify 0 into 0
7.905 * [backup-simplify]: Simplify 1 into 1
7.905 * [backup-simplify]: Simplify (/ 1 1) into 1
7.905 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
7.905 * [taylor]: Taking taylor expansion of (/ 1 im) in re
7.905 * [taylor]: Taking taylor expansion of im in re
7.905 * [backup-simplify]: Simplify im into im
7.905 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
7.905 * [taylor]: Taking taylor expansion of (/ 1 im) in re
7.905 * [taylor]: Taking taylor expansion of im in re
7.905 * [backup-simplify]: Simplify im into im
7.905 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
7.905 * [backup-simplify]: Simplify (* 1 1) into 1
7.905 * [backup-simplify]: Simplify (+ 1 0) into 1
7.906 * [backup-simplify]: Simplify (sqrt 1) into 1
7.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.907 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.907 * [backup-simplify]: Simplify (+ 0 0) into 0
7.908 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.908 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.908 * [taylor]: Taking taylor expansion of re in re
7.908 * [backup-simplify]: Simplify 0 into 0
7.908 * [backup-simplify]: Simplify 1 into 1
7.908 * [backup-simplify]: Simplify (/ 1 1) into 1
7.908 * [backup-simplify]: Simplify (+ 1 1) into 2
7.908 * [taylor]: Taking taylor expansion of 2 in im
7.908 * [backup-simplify]: Simplify 2 into 2
7.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.909 * [backup-simplify]: Simplify (+ 0 0) into 0
7.909 * [taylor]: Taking taylor expansion of 0 in im
7.909 * [backup-simplify]: Simplify 0 into 0
7.909 * [backup-simplify]: Simplify 2 into 2
7.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.912 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
7.912 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.913 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.915 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
7.915 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
7.915 * [taylor]: Taking taylor expansion of 1/2 in im
7.915 * [backup-simplify]: Simplify 1/2 into 1/2
7.915 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.915 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.915 * [taylor]: Taking taylor expansion of im in im
7.915 * [backup-simplify]: Simplify 0 into 0
7.915 * [backup-simplify]: Simplify 1 into 1
7.915 * [backup-simplify]: Simplify (* 1 1) into 1
7.916 * [backup-simplify]: Simplify (/ 1 1) into 1
7.916 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.918 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.918 * [backup-simplify]: Simplify 0 into 0
7.918 * [backup-simplify]: Simplify 0 into 0
7.918 * [backup-simplify]: Simplify 0 into 0
7.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.921 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
7.921 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
7.921 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
7.921 * [backup-simplify]: Simplify (+ 0 0) into 0
7.922 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.923 * [backup-simplify]: Simplify (+ 0 0) into 0
7.923 * [taylor]: Taking taylor expansion of 0 in im
7.923 * [backup-simplify]: Simplify 0 into 0
7.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.926 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
7.926 * [backup-simplify]: Simplify 0 into 0
7.926 * [backup-simplify]: Simplify 0 into 0
7.926 * [backup-simplify]: Simplify 0 into 0
7.926 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
7.927 * [backup-simplify]: Simplify (+ (/ 1 (- re)) (* (sqrt (* (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (* (sqrt (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
7.927 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
7.927 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
7.927 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
7.928 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
7.928 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
7.928 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
7.928 * [taylor]: Taking taylor expansion of (/ -1 re) in im
7.928 * [taylor]: Taking taylor expansion of -1 in im
7.928 * [backup-simplify]: Simplify -1 into -1
7.928 * [taylor]: Taking taylor expansion of re in im
7.928 * [backup-simplify]: Simplify re into re
7.928 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
7.928 * [taylor]: Taking taylor expansion of (/ -1 re) in im
7.928 * [taylor]: Taking taylor expansion of -1 in im
7.928 * [backup-simplify]: Simplify -1 into -1
7.928 * [taylor]: Taking taylor expansion of re in im
7.928 * [backup-simplify]: Simplify re into re
7.928 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
7.928 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
7.928 * [taylor]: Taking taylor expansion of (/ -1 im) in im
7.928 * [taylor]: Taking taylor expansion of -1 in im
7.928 * [backup-simplify]: Simplify -1 into -1
7.928 * [taylor]: Taking taylor expansion of im in im
7.928 * [backup-simplify]: Simplify 0 into 0
7.928 * [backup-simplify]: Simplify 1 into 1
7.929 * [backup-simplify]: Simplify (/ -1 1) into -1
7.929 * [taylor]: Taking taylor expansion of (/ -1 im) in im
7.929 * [taylor]: Taking taylor expansion of -1 in im
7.929 * [backup-simplify]: Simplify -1 into -1
7.929 * [taylor]: Taking taylor expansion of im in im
7.929 * [backup-simplify]: Simplify 0 into 0
7.929 * [backup-simplify]: Simplify 1 into 1
7.929 * [backup-simplify]: Simplify (/ -1 1) into -1
7.930 * [backup-simplify]: Simplify (* -1 -1) into 1
7.930 * [backup-simplify]: Simplify (+ 0 1) into 1
7.930 * [backup-simplify]: Simplify (sqrt 1) into 1
7.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.932 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.933 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
7.933 * [backup-simplify]: Simplify (+ 0 0) into 0
7.934 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.934 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.934 * [taylor]: Taking taylor expansion of re in im
7.934 * [backup-simplify]: Simplify re into re
7.934 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.934 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
7.934 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
7.934 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
7.934 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
7.934 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
7.934 * [taylor]: Taking taylor expansion of (/ -1 re) in re
7.934 * [taylor]: Taking taylor expansion of -1 in re
7.934 * [backup-simplify]: Simplify -1 into -1
7.934 * [taylor]: Taking taylor expansion of re in re
7.934 * [backup-simplify]: Simplify 0 into 0
7.934 * [backup-simplify]: Simplify 1 into 1
7.935 * [backup-simplify]: Simplify (/ -1 1) into -1
7.935 * [taylor]: Taking taylor expansion of (/ -1 re) in re
7.935 * [taylor]: Taking taylor expansion of -1 in re
7.935 * [backup-simplify]: Simplify -1 into -1
7.935 * [taylor]: Taking taylor expansion of re in re
7.935 * [backup-simplify]: Simplify 0 into 0
7.935 * [backup-simplify]: Simplify 1 into 1
7.935 * [backup-simplify]: Simplify (/ -1 1) into -1
7.936 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
7.936 * [taylor]: Taking taylor expansion of (/ -1 im) in re
7.936 * [taylor]: Taking taylor expansion of -1 in re
7.936 * [backup-simplify]: Simplify -1 into -1
7.936 * [taylor]: Taking taylor expansion of im in re
7.936 * [backup-simplify]: Simplify im into im
7.936 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
7.936 * [taylor]: Taking taylor expansion of (/ -1 im) in re
7.936 * [taylor]: Taking taylor expansion of -1 in re
7.936 * [backup-simplify]: Simplify -1 into -1
7.936 * [taylor]: Taking taylor expansion of im in re
7.936 * [backup-simplify]: Simplify im into im
7.936 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
7.936 * [backup-simplify]: Simplify (* -1 -1) into 1
7.937 * [backup-simplify]: Simplify (+ 1 0) into 1
7.937 * [backup-simplify]: Simplify (sqrt 1) into 1
7.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.938 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.938 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
7.938 * [backup-simplify]: Simplify (+ 0 0) into 0
7.939 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.939 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.939 * [taylor]: Taking taylor expansion of re in re
7.939 * [backup-simplify]: Simplify 0 into 0
7.939 * [backup-simplify]: Simplify 1 into 1
7.939 * [backup-simplify]: Simplify (/ 1 1) into 1
7.939 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
7.939 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
7.939 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
7.939 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
7.939 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
7.939 * [taylor]: Taking taylor expansion of (/ -1 re) in re
7.939 * [taylor]: Taking taylor expansion of -1 in re
7.939 * [backup-simplify]: Simplify -1 into -1
7.939 * [taylor]: Taking taylor expansion of re in re
7.939 * [backup-simplify]: Simplify 0 into 0
7.939 * [backup-simplify]: Simplify 1 into 1
7.940 * [backup-simplify]: Simplify (/ -1 1) into -1
7.940 * [taylor]: Taking taylor expansion of (/ -1 re) in re
7.940 * [taylor]: Taking taylor expansion of -1 in re
7.940 * [backup-simplify]: Simplify -1 into -1
7.940 * [taylor]: Taking taylor expansion of re in re
7.940 * [backup-simplify]: Simplify 0 into 0
7.940 * [backup-simplify]: Simplify 1 into 1
7.940 * [backup-simplify]: Simplify (/ -1 1) into -1
7.940 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
7.940 * [taylor]: Taking taylor expansion of (/ -1 im) in re
7.940 * [taylor]: Taking taylor expansion of -1 in re
7.940 * [backup-simplify]: Simplify -1 into -1
7.940 * [taylor]: Taking taylor expansion of im in re
7.940 * [backup-simplify]: Simplify im into im
7.940 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
7.940 * [taylor]: Taking taylor expansion of (/ -1 im) in re
7.940 * [taylor]: Taking taylor expansion of -1 in re
7.940 * [backup-simplify]: Simplify -1 into -1
7.940 * [taylor]: Taking taylor expansion of im in re
7.940 * [backup-simplify]: Simplify im into im
7.940 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
7.940 * [backup-simplify]: Simplify (* -1 -1) into 1
7.941 * [backup-simplify]: Simplify (+ 1 0) into 1
7.941 * [backup-simplify]: Simplify (sqrt 1) into 1
7.941 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.942 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.942 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
7.942 * [backup-simplify]: Simplify (+ 0 0) into 0
7.943 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.943 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.943 * [taylor]: Taking taylor expansion of re in re
7.943 * [backup-simplify]: Simplify 0 into 0
7.943 * [backup-simplify]: Simplify 1 into 1
7.943 * [backup-simplify]: Simplify (/ 1 1) into 1
7.943 * [backup-simplify]: Simplify (- 1) into -1
7.944 * [backup-simplify]: Simplify (+ 1 -1) into 0
7.944 * [taylor]: Taking taylor expansion of 0 in im
7.944 * [backup-simplify]: Simplify 0 into 0
7.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.944 * [backup-simplify]: Simplify (- 0) into 0
7.945 * [backup-simplify]: Simplify (+ 0 0) into 0
7.945 * [taylor]: Taking taylor expansion of 0 in im
7.945 * [backup-simplify]: Simplify 0 into 0
7.945 * [backup-simplify]: Simplify 0 into 0
7.945 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.946 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
7.946 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
7.947 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.947 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.948 * [backup-simplify]: Simplify (- 0) into 0
7.948 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
7.948 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
7.948 * [taylor]: Taking taylor expansion of 1/2 in im
7.948 * [backup-simplify]: Simplify 1/2 into 1/2
7.948 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.948 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.948 * [taylor]: Taking taylor expansion of im in im
7.948 * [backup-simplify]: Simplify 0 into 0
7.948 * [backup-simplify]: Simplify 1 into 1
7.949 * [backup-simplify]: Simplify (* 1 1) into 1
7.949 * [backup-simplify]: Simplify (/ 1 1) into 1
7.949 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.950 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.950 * [backup-simplify]: Simplify 0 into 0
7.950 * [backup-simplify]: Simplify 0 into 0
7.950 * [backup-simplify]: Simplify 0 into 0
7.951 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.951 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.952 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
7.952 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
7.952 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
7.952 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
7.953 * [backup-simplify]: Simplify (+ 0 0) into 0
7.953 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.954 * [backup-simplify]: Simplify (- 0) into 0
7.954 * [backup-simplify]: Simplify (+ 0 0) into 0
7.954 * [taylor]: Taking taylor expansion of 0 in im
7.954 * [backup-simplify]: Simplify 0 into 0
7.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.956 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
7.956 * [backup-simplify]: Simplify 0 into 0
7.956 * [backup-simplify]: Simplify 0 into 0
7.956 * [backup-simplify]: Simplify 0 into 0
7.956 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2 2 1 1)
7.956 * [backup-simplify]: Simplify (cbrt (hypot re im)) into (pow (hypot re im) 1/3)
7.956 * [approximate]: Taking taylor expansion of (pow (hypot re im) 1/3) in (re im) around 0
7.956 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in im
7.956 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in im
7.956 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in im
7.956 * [taylor]: Taking taylor expansion of 1/3 in im
7.956 * [backup-simplify]: Simplify 1/3 into 1/3
7.956 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im
7.956 * [taylor]: Taking taylor expansion of (hypot re im) in im
7.956 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
7.956 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
7.956 * [taylor]: Taking taylor expansion of (* re re) in im
7.956 * [taylor]: Taking taylor expansion of re in im
7.956 * [backup-simplify]: Simplify re into re
7.956 * [taylor]: Taking taylor expansion of re in im
7.956 * [backup-simplify]: Simplify re into re
7.956 * [taylor]: Taking taylor expansion of (* im im) in im
7.956 * [taylor]: Taking taylor expansion of im in im
7.956 * [backup-simplify]: Simplify 0 into 0
7.956 * [backup-simplify]: Simplify 1 into 1
7.956 * [taylor]: Taking taylor expansion of im in im
7.956 * [backup-simplify]: Simplify 0 into 0
7.956 * [backup-simplify]: Simplify 1 into 1
7.956 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.957 * [backup-simplify]: Simplify (* 0 0) into 0
7.957 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
7.957 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.957 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.957 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.958 * [backup-simplify]: Simplify (+ 0 0) into 0
7.958 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.958 * [backup-simplify]: Simplify (log re) into (log re)
7.958 * [backup-simplify]: Simplify (* 1/3 (log re)) into (* 1/3 (log re))
7.958 * [backup-simplify]: Simplify (exp (* 1/3 (log re))) into (pow re 1/3)
7.958 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re
7.958 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re
7.958 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re
7.958 * [taylor]: Taking taylor expansion of 1/3 in re
7.958 * [backup-simplify]: Simplify 1/3 into 1/3
7.958 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re
7.958 * [taylor]: Taking taylor expansion of (hypot re im) in re
7.958 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
7.958 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
7.958 * [taylor]: Taking taylor expansion of (* re re) in re
7.958 * [taylor]: Taking taylor expansion of re in re
7.958 * [backup-simplify]: Simplify 0 into 0
7.958 * [backup-simplify]: Simplify 1 into 1
7.958 * [taylor]: Taking taylor expansion of re in re
7.958 * [backup-simplify]: Simplify 0 into 0
7.958 * [backup-simplify]: Simplify 1 into 1
7.958 * [taylor]: Taking taylor expansion of (* im im) in re
7.958 * [taylor]: Taking taylor expansion of im in re
7.958 * [backup-simplify]: Simplify im into im
7.958 * [taylor]: Taking taylor expansion of im in re
7.958 * [backup-simplify]: Simplify im into im
7.959 * [backup-simplify]: Simplify (* 0 0) into 0
7.959 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.959 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
7.959 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.959 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.959 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.959 * [backup-simplify]: Simplify (+ 0 0) into 0
7.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.960 * [backup-simplify]: Simplify (log im) into (log im)
7.960 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im))
7.960 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3)
7.960 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re
7.960 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re
7.960 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re
7.960 * [taylor]: Taking taylor expansion of 1/3 in re
7.960 * [backup-simplify]: Simplify 1/3 into 1/3
7.960 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re
7.960 * [taylor]: Taking taylor expansion of (hypot re im) in re
7.960 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
7.960 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
7.960 * [taylor]: Taking taylor expansion of (* re re) in re
7.960 * [taylor]: Taking taylor expansion of re in re
7.960 * [backup-simplify]: Simplify 0 into 0
7.960 * [backup-simplify]: Simplify 1 into 1
7.960 * [taylor]: Taking taylor expansion of re in re
7.960 * [backup-simplify]: Simplify 0 into 0
7.960 * [backup-simplify]: Simplify 1 into 1
7.960 * [taylor]: Taking taylor expansion of (* im im) in re
7.960 * [taylor]: Taking taylor expansion of im in re
7.960 * [backup-simplify]: Simplify im into im
7.960 * [taylor]: Taking taylor expansion of im in re
7.960 * [backup-simplify]: Simplify im into im
7.960 * [backup-simplify]: Simplify (* 0 0) into 0
7.960 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.961 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
7.961 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.961 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.961 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.961 * [backup-simplify]: Simplify (+ 0 0) into 0
7.961 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.961 * [backup-simplify]: Simplify (log im) into (log im)
7.962 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im))
7.962 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3)
7.962 * [taylor]: Taking taylor expansion of (pow im 1/3) in im
7.962 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im
7.962 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im
7.962 * [taylor]: Taking taylor expansion of 1/3 in im
7.962 * [backup-simplify]: Simplify 1/3 into 1/3
7.962 * [taylor]: Taking taylor expansion of (log im) in im
7.962 * [taylor]: Taking taylor expansion of im in im
7.962 * [backup-simplify]: Simplify 0 into 0
7.962 * [backup-simplify]: Simplify 1 into 1
7.962 * [backup-simplify]: Simplify (log 1) into 0
7.962 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im)
7.962 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im))
7.962 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3)
7.962 * [backup-simplify]: Simplify (pow im 1/3) into (pow im 1/3)
7.963 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0
7.963 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log im))) into 0
7.964 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
7.964 * [taylor]: Taking taylor expansion of 0 in im
7.964 * [backup-simplify]: Simplify 0 into 0
7.964 * [backup-simplify]: Simplify 0 into 0
7.965 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
7.965 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im)
7.965 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log im))) into 0
7.966 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
7.966 * [backup-simplify]: Simplify 0 into 0
7.966 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
7.967 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
7.967 * [backup-simplify]: Simplify (+ 1 0) into 1
7.967 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
7.968 * [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))
7.968 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im)))) into (* 1/6 (/ 1 (pow im 2)))
7.969 * [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))
7.969 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) in im
7.969 * [taylor]: Taking taylor expansion of 1/6 in im
7.969 * [backup-simplify]: Simplify 1/6 into 1/6
7.969 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im
7.969 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im
7.969 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im
7.969 * [taylor]: Taking taylor expansion of 1/3 in im
7.969 * [backup-simplify]: Simplify 1/3 into 1/3
7.969 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im
7.969 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im
7.969 * [taylor]: Taking taylor expansion of (pow im 5) in im
7.969 * [taylor]: Taking taylor expansion of im in im
7.969 * [backup-simplify]: Simplify 0 into 0
7.969 * [backup-simplify]: Simplify 1 into 1
7.970 * [backup-simplify]: Simplify (* 1 1) into 1
7.970 * [backup-simplify]: Simplify (* 1 1) into 1
7.970 * [backup-simplify]: Simplify (* 1 1) into 1
7.970 * [backup-simplify]: Simplify (/ 1 1) into 1
7.970 * [backup-simplify]: Simplify (log 1) into 0
7.971 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im)))
7.971 * [backup-simplify]: Simplify (* 1/3 (- (* 5 (log im)))) into (* -5/3 (log im))
7.971 * [backup-simplify]: Simplify (exp (* -5/3 (log im))) into (pow im -5/3)
7.971 * [backup-simplify]: Simplify (* 1/6 (pow im -5/3)) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3))
7.971 * [backup-simplify]: Simplify (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3))
7.971 * [backup-simplify]: Simplify 0 into 0
7.973 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
7.973 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im)
7.974 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log im)))) into 0
7.974 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.974 * [backup-simplify]: Simplify 0 into 0
7.975 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
7.975 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
7.976 * [backup-simplify]: Simplify (+ 0 0) into 0
7.976 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
7.977 * [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
7.978 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im))))) into 0
7.980 * [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
7.980 * [taylor]: Taking taylor expansion of 0 in im
7.980 * [backup-simplify]: Simplify 0 into 0
7.980 * [backup-simplify]: Simplify 0 into 0
7.980 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.981 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.981 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.983 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
7.983 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im)))
7.983 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 5 (log im))))) into 0
7.984 * [backup-simplify]: Simplify (* (exp (* -5/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
7.984 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (pow im -5/3))) into 0
7.984 * [backup-simplify]: Simplify 0 into 0
7.984 * [backup-simplify]: Simplify 0 into 0
7.987 * [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
7.987 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im)
7.988 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log im))))) into 0
7.989 * [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
7.989 * [backup-simplify]: Simplify 0 into 0
7.990 * [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))))
7.990 * [backup-simplify]: Simplify (cbrt (hypot (/ 1 re) (/ 1 im))) into (pow (hypot (/ 1 re) (/ 1 im)) 1/3)
7.990 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in (re im) around 0
7.990 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in im
7.990 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in im
7.990 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in im
7.990 * [taylor]: Taking taylor expansion of 1/3 in im
7.990 * [backup-simplify]: Simplify 1/3 into 1/3
7.990 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im
7.990 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
7.990 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
7.990 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
7.990 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
7.990 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.990 * [taylor]: Taking taylor expansion of re in im
7.990 * [backup-simplify]: Simplify re into re
7.990 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.990 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.990 * [taylor]: Taking taylor expansion of re in im
7.990 * [backup-simplify]: Simplify re into re
7.990 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.990 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
7.990 * [taylor]: Taking taylor expansion of (/ 1 im) in im
7.990 * [taylor]: Taking taylor expansion of im in im
7.990 * [backup-simplify]: Simplify 0 into 0
7.990 * [backup-simplify]: Simplify 1 into 1
7.996 * [backup-simplify]: Simplify (/ 1 1) into 1
7.996 * [taylor]: Taking taylor expansion of (/ 1 im) in im
7.996 * [taylor]: Taking taylor expansion of im in im
7.997 * [backup-simplify]: Simplify 0 into 0
7.997 * [backup-simplify]: Simplify 1 into 1
7.997 * [backup-simplify]: Simplify (/ 1 1) into 1
7.998 * [backup-simplify]: Simplify (* 1 1) into 1
7.998 * [backup-simplify]: Simplify (+ 0 1) into 1
7.998 * [backup-simplify]: Simplify (sqrt 1) into 1
7.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.001 * [backup-simplify]: Simplify (+ 0 0) into 0
8.002 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.003 * [backup-simplify]: Simplify (log 1) into 0
8.003 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
8.003 * [backup-simplify]: Simplify (* 1/3 (- (log im))) into (* -1/3 (log im))
8.003 * [backup-simplify]: Simplify (exp (* -1/3 (log im))) into (pow im -1/3)
8.003 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re
8.003 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re
8.003 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re
8.003 * [taylor]: Taking taylor expansion of 1/3 in re
8.003 * [backup-simplify]: Simplify 1/3 into 1/3
8.003 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re
8.003 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
8.004 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
8.004 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
8.004 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
8.004 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.004 * [taylor]: Taking taylor expansion of re in re
8.004 * [backup-simplify]: Simplify 0 into 0
8.004 * [backup-simplify]: Simplify 1 into 1
8.004 * [backup-simplify]: Simplify (/ 1 1) into 1
8.004 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.004 * [taylor]: Taking taylor expansion of re in re
8.004 * [backup-simplify]: Simplify 0 into 0
8.004 * [backup-simplify]: Simplify 1 into 1
8.005 * [backup-simplify]: Simplify (/ 1 1) into 1
8.005 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
8.005 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.005 * [taylor]: Taking taylor expansion of im in re
8.005 * [backup-simplify]: Simplify im into im
8.005 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.005 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.005 * [taylor]: Taking taylor expansion of im in re
8.005 * [backup-simplify]: Simplify im into im
8.005 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.006 * [backup-simplify]: Simplify (* 1 1) into 1
8.006 * [backup-simplify]: Simplify (+ 1 0) into 1
8.006 * [backup-simplify]: Simplify (sqrt 1) into 1
8.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.008 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.009 * [backup-simplify]: Simplify (+ 0 0) into 0
8.010 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.010 * [backup-simplify]: Simplify (log 1) into 0
8.010 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
8.010 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
8.011 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
8.011 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re
8.011 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re
8.011 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re
8.011 * [taylor]: Taking taylor expansion of 1/3 in re
8.011 * [backup-simplify]: Simplify 1/3 into 1/3
8.011 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re
8.011 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
8.011 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
8.011 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
8.011 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
8.011 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.011 * [taylor]: Taking taylor expansion of re in re
8.011 * [backup-simplify]: Simplify 0 into 0
8.011 * [backup-simplify]: Simplify 1 into 1
8.012 * [backup-simplify]: Simplify (/ 1 1) into 1
8.012 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.012 * [taylor]: Taking taylor expansion of re in re
8.012 * [backup-simplify]: Simplify 0 into 0
8.012 * [backup-simplify]: Simplify 1 into 1
8.012 * [backup-simplify]: Simplify (/ 1 1) into 1
8.012 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
8.012 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.012 * [taylor]: Taking taylor expansion of im in re
8.012 * [backup-simplify]: Simplify im into im
8.012 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.012 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.012 * [taylor]: Taking taylor expansion of im in re
8.012 * [backup-simplify]: Simplify im into im
8.012 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.013 * [backup-simplify]: Simplify (* 1 1) into 1
8.013 * [backup-simplify]: Simplify (+ 1 0) into 1
8.013 * [backup-simplify]: Simplify (sqrt 1) into 1
8.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.014 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.015 * [backup-simplify]: Simplify (+ 0 0) into 0
8.015 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.015 * [backup-simplify]: Simplify (log 1) into 0
8.015 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
8.016 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
8.016 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
8.016 * [taylor]: Taking taylor expansion of (pow re -1/3) in im
8.016 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im
8.016 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im
8.016 * [taylor]: Taking taylor expansion of -1/3 in im
8.016 * [backup-simplify]: Simplify -1/3 into -1/3
8.016 * [taylor]: Taking taylor expansion of (log re) in im
8.016 * [taylor]: Taking taylor expansion of re in im
8.016 * [backup-simplify]: Simplify re into re
8.016 * [backup-simplify]: Simplify (log re) into (log re)
8.016 * [backup-simplify]: Simplify (* -1/3 (log re)) into (* -1/3 (log re))
8.016 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
8.016 * [backup-simplify]: Simplify (pow re -1/3) into (pow re -1/3)
8.017 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
8.017 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
8.017 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0
8.018 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
8.018 * [taylor]: Taking taylor expansion of 0 in im
8.018 * [backup-simplify]: Simplify 0 into 0
8.018 * [backup-simplify]: Simplify 0 into 0
8.018 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
8.019 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log re))) into 0
8.019 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
8.019 * [backup-simplify]: Simplify 0 into 0
8.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.021 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
8.021 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.022 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.023 * [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))
8.023 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
8.024 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/6 (/ 1 (pow im 2)))
8.024 * [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))))
8.024 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im
8.024 * [taylor]: Taking taylor expansion of 1/6 in im
8.024 * [backup-simplify]: Simplify 1/6 into 1/6
8.024 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im
8.024 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im
8.024 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im
8.024 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im
8.024 * [taylor]: Taking taylor expansion of 1/3 in im
8.024 * [backup-simplify]: Simplify 1/3 into 1/3
8.024 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im
8.024 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.024 * [taylor]: Taking taylor expansion of re in im
8.024 * [backup-simplify]: Simplify re into re
8.025 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.025 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re))
8.025 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 re))) into (* 1/3 (log (/ 1 re)))
8.025 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 re)))) into (pow (/ 1 re) 1/3)
8.025 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.025 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.025 * [taylor]: Taking taylor expansion of im in im
8.025 * [backup-simplify]: Simplify 0 into 0
8.025 * [backup-simplify]: Simplify 1 into 1
8.025 * [backup-simplify]: Simplify (* 1 1) into 1
8.025 * [backup-simplify]: Simplify (/ 1 1) into 1
8.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.027 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
8.028 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0
8.028 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 re)))) into 0
8.029 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0
8.029 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
8.030 * [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
8.030 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0
8.031 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.031 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0
8.032 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 1)) into 0
8.032 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) 1) into (pow (/ 1 re) 1/3)
8.033 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/3)))) into 0
8.033 * [backup-simplify]: Simplify 0 into 0
8.033 * [backup-simplify]: Simplify 0 into 0
8.034 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
8.034 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log re)))) into 0
8.035 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.035 * [backup-simplify]: Simplify 0 into 0
8.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.037 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.037 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
8.037 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
8.037 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
8.037 * [backup-simplify]: Simplify (+ 0 0) into 0
8.037 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.039 * [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
8.040 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
8.040 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0
8.042 * [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
8.042 * [taylor]: Taking taylor expansion of 0 in im
8.042 * [backup-simplify]: Simplify 0 into 0
8.042 * [backup-simplify]: Simplify 0 into 0
8.042 * [backup-simplify]: Simplify (pow (/ 1 re) -1/3) into (pow (/ 1 re) -1/3)
8.042 * [backup-simplify]: Simplify (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) into (pow (hypot (/ -1 re) (/ -1 im)) 1/3)
8.042 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in (re im) around 0
8.042 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in im
8.042 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in im
8.042 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in im
8.042 * [taylor]: Taking taylor expansion of 1/3 in im
8.042 * [backup-simplify]: Simplify 1/3 into 1/3
8.042 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im
8.042 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
8.042 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
8.042 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
8.042 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
8.042 * [taylor]: Taking taylor expansion of (/ -1 re) in im
8.042 * [taylor]: Taking taylor expansion of -1 in im
8.042 * [backup-simplify]: Simplify -1 into -1
8.042 * [taylor]: Taking taylor expansion of re in im
8.042 * [backup-simplify]: Simplify re into re
8.042 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
8.042 * [taylor]: Taking taylor expansion of (/ -1 re) in im
8.042 * [taylor]: Taking taylor expansion of -1 in im
8.042 * [backup-simplify]: Simplify -1 into -1
8.042 * [taylor]: Taking taylor expansion of re in im
8.042 * [backup-simplify]: Simplify re into re
8.043 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
8.043 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
8.043 * [taylor]: Taking taylor expansion of (/ -1 im) in im
8.043 * [taylor]: Taking taylor expansion of -1 in im
8.043 * [backup-simplify]: Simplify -1 into -1
8.043 * [taylor]: Taking taylor expansion of im in im
8.043 * [backup-simplify]: Simplify 0 into 0
8.043 * [backup-simplify]: Simplify 1 into 1
8.043 * [backup-simplify]: Simplify (/ -1 1) into -1
8.043 * [taylor]: Taking taylor expansion of (/ -1 im) in im
8.043 * [taylor]: Taking taylor expansion of -1 in im
8.043 * [backup-simplify]: Simplify -1 into -1
8.043 * [taylor]: Taking taylor expansion of im in im
8.043 * [backup-simplify]: Simplify 0 into 0
8.043 * [backup-simplify]: Simplify 1 into 1
8.043 * [backup-simplify]: Simplify (/ -1 1) into -1
8.044 * [backup-simplify]: Simplify (* -1 -1) into 1
8.044 * [backup-simplify]: Simplify (+ 0 1) into 1
8.044 * [backup-simplify]: Simplify (sqrt 1) into 1
8.044 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.045 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.045 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
8.046 * [backup-simplify]: Simplify (+ 0 0) into 0
8.046 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.046 * [backup-simplify]: Simplify (log 1) into 0
8.046 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
8.047 * [backup-simplify]: Simplify (* 1/3 (- (log im))) into (* -1/3 (log im))
8.047 * [backup-simplify]: Simplify (exp (* -1/3 (log im))) into (pow im -1/3)
8.047 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re
8.047 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re
8.047 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re
8.047 * [taylor]: Taking taylor expansion of 1/3 in re
8.047 * [backup-simplify]: Simplify 1/3 into 1/3
8.047 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re
8.047 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
8.047 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
8.047 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
8.047 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
8.047 * [taylor]: Taking taylor expansion of (/ -1 re) in re
8.047 * [taylor]: Taking taylor expansion of -1 in re
8.047 * [backup-simplify]: Simplify -1 into -1
8.047 * [taylor]: Taking taylor expansion of re in re
8.047 * [backup-simplify]: Simplify 0 into 0
8.047 * [backup-simplify]: Simplify 1 into 1
8.047 * [backup-simplify]: Simplify (/ -1 1) into -1
8.047 * [taylor]: Taking taylor expansion of (/ -1 re) in re
8.047 * [taylor]: Taking taylor expansion of -1 in re
8.047 * [backup-simplify]: Simplify -1 into -1
8.047 * [taylor]: Taking taylor expansion of re in re
8.047 * [backup-simplify]: Simplify 0 into 0
8.047 * [backup-simplify]: Simplify 1 into 1
8.048 * [backup-simplify]: Simplify (/ -1 1) into -1
8.048 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
8.048 * [taylor]: Taking taylor expansion of (/ -1 im) in re
8.048 * [taylor]: Taking taylor expansion of -1 in re
8.048 * [backup-simplify]: Simplify -1 into -1
8.048 * [taylor]: Taking taylor expansion of im in re
8.048 * [backup-simplify]: Simplify im into im
8.048 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
8.048 * [taylor]: Taking taylor expansion of (/ -1 im) in re
8.048 * [taylor]: Taking taylor expansion of -1 in re
8.048 * [backup-simplify]: Simplify -1 into -1
8.048 * [taylor]: Taking taylor expansion of im in re
8.048 * [backup-simplify]: Simplify im into im
8.048 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
8.048 * [backup-simplify]: Simplify (* -1 -1) into 1
8.048 * [backup-simplify]: Simplify (+ 1 0) into 1
8.049 * [backup-simplify]: Simplify (sqrt 1) into 1
8.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.050 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.050 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
8.050 * [backup-simplify]: Simplify (+ 0 0) into 0
8.051 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.051 * [backup-simplify]: Simplify (log 1) into 0
8.051 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
8.051 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
8.051 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
8.051 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re
8.051 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re
8.051 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re
8.051 * [taylor]: Taking taylor expansion of 1/3 in re
8.051 * [backup-simplify]: Simplify 1/3 into 1/3
8.051 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re
8.052 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
8.052 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
8.052 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
8.052 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
8.052 * [taylor]: Taking taylor expansion of (/ -1 re) in re
8.052 * [taylor]: Taking taylor expansion of -1 in re
8.052 * [backup-simplify]: Simplify -1 into -1
8.052 * [taylor]: Taking taylor expansion of re in re
8.052 * [backup-simplify]: Simplify 0 into 0
8.052 * [backup-simplify]: Simplify 1 into 1
8.052 * [backup-simplify]: Simplify (/ -1 1) into -1
8.052 * [taylor]: Taking taylor expansion of (/ -1 re) in re
8.052 * [taylor]: Taking taylor expansion of -1 in re
8.052 * [backup-simplify]: Simplify -1 into -1
8.052 * [taylor]: Taking taylor expansion of re in re
8.052 * [backup-simplify]: Simplify 0 into 0
8.052 * [backup-simplify]: Simplify 1 into 1
8.052 * [backup-simplify]: Simplify (/ -1 1) into -1
8.052 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
8.052 * [taylor]: Taking taylor expansion of (/ -1 im) in re
8.052 * [taylor]: Taking taylor expansion of -1 in re
8.052 * [backup-simplify]: Simplify -1 into -1
8.053 * [taylor]: Taking taylor expansion of im in re
8.053 * [backup-simplify]: Simplify im into im
8.053 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
8.053 * [taylor]: Taking taylor expansion of (/ -1 im) in re
8.053 * [taylor]: Taking taylor expansion of -1 in re
8.053 * [backup-simplify]: Simplify -1 into -1
8.053 * [taylor]: Taking taylor expansion of im in re
8.053 * [backup-simplify]: Simplify im into im
8.053 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
8.053 * [backup-simplify]: Simplify (* -1 -1) into 1
8.053 * [backup-simplify]: Simplify (+ 1 0) into 1
8.053 * [backup-simplify]: Simplify (sqrt 1) into 1
8.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.055 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
8.055 * [backup-simplify]: Simplify (+ 0 0) into 0
8.055 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.056 * [backup-simplify]: Simplify (log 1) into 0
8.056 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
8.056 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
8.056 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
8.056 * [taylor]: Taking taylor expansion of (pow re -1/3) in im
8.056 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im
8.056 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im
8.056 * [taylor]: Taking taylor expansion of -1/3 in im
8.056 * [backup-simplify]: Simplify -1/3 into -1/3
8.056 * [taylor]: Taking taylor expansion of (log re) in im
8.056 * [taylor]: Taking taylor expansion of re in im
8.056 * [backup-simplify]: Simplify re into re
8.056 * [backup-simplify]: Simplify (log re) into (log re)
8.056 * [backup-simplify]: Simplify (* -1/3 (log re)) into (* -1/3 (log re))
8.056 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
8.056 * [backup-simplify]: Simplify (pow re -1/3) into (pow re -1/3)
8.057 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
8.057 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
8.058 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0
8.058 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
8.058 * [taylor]: Taking taylor expansion of 0 in im
8.058 * [backup-simplify]: Simplify 0 into 0
8.058 * [backup-simplify]: Simplify 0 into 0
8.059 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
8.059 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log re))) into 0
8.060 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
8.060 * [backup-simplify]: Simplify 0 into 0
8.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.062 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.062 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
8.063 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
8.063 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.064 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.066 * [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))
8.066 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
8.067 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/6 (/ 1 (pow im 2)))
8.068 * [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))))
8.068 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im
8.068 * [taylor]: Taking taylor expansion of 1/6 in im
8.068 * [backup-simplify]: Simplify 1/6 into 1/6
8.068 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im
8.068 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im
8.068 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im
8.068 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im
8.068 * [taylor]: Taking taylor expansion of 1/3 in im
8.068 * [backup-simplify]: Simplify 1/3 into 1/3
8.068 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im
8.068 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.069 * [taylor]: Taking taylor expansion of re in im
8.069 * [backup-simplify]: Simplify re into re
8.069 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.069 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re))
8.069 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 re))) into (* 1/3 (log (/ 1 re)))
8.069 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 re)))) into (pow (/ 1 re) 1/3)
8.069 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.069 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.069 * [taylor]: Taking taylor expansion of im in im
8.069 * [backup-simplify]: Simplify 0 into 0
8.069 * [backup-simplify]: Simplify 1 into 1
8.069 * [backup-simplify]: Simplify (* 1 1) into 1
8.070 * [backup-simplify]: Simplify (/ 1 1) into 1
8.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.073 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
8.074 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0
8.075 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 re)))) into 0
8.076 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0
8.076 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
8.078 * [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
8.078 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0
8.080 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.081 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0
8.081 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 1)) into 0
8.082 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) 1) into (pow (/ 1 re) 1/3)
8.082 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/3)))) into 0
8.083 * [backup-simplify]: Simplify 0 into 0
8.083 * [backup-simplify]: Simplify 0 into 0
8.084 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
8.085 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log re)))) into 0
8.087 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.087 * [backup-simplify]: Simplify 0 into 0
8.088 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.089 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.090 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
8.090 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
8.090 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
8.090 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
8.091 * [backup-simplify]: Simplify (+ 0 0) into 0
8.092 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.095 * [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
8.096 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
8.097 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0
8.099 * [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
8.099 * [taylor]: Taking taylor expansion of 0 in im
8.099 * [backup-simplify]: Simplify 0 into 0
8.099 * [backup-simplify]: Simplify 0 into 0
8.100 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -1/3) into (pow (/ -1 re) -1/3)
8.100 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2 1 1 2)
8.100 * [backup-simplify]: Simplify (cbrt (hypot re im)) into (pow (hypot re im) 1/3)
8.100 * [approximate]: Taking taylor expansion of (pow (hypot re im) 1/3) in (re im) around 0
8.100 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in im
8.100 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in im
8.100 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in im
8.100 * [taylor]: Taking taylor expansion of 1/3 in im
8.100 * [backup-simplify]: Simplify 1/3 into 1/3
8.100 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im
8.100 * [taylor]: Taking taylor expansion of (hypot re im) in im
8.100 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
8.100 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
8.100 * [taylor]: Taking taylor expansion of (* re re) in im
8.100 * [taylor]: Taking taylor expansion of re in im
8.100 * [backup-simplify]: Simplify re into re
8.100 * [taylor]: Taking taylor expansion of re in im
8.100 * [backup-simplify]: Simplify re into re
8.101 * [taylor]: Taking taylor expansion of (* im im) in im
8.101 * [taylor]: Taking taylor expansion of im in im
8.101 * [backup-simplify]: Simplify 0 into 0
8.101 * [backup-simplify]: Simplify 1 into 1
8.101 * [taylor]: Taking taylor expansion of im in im
8.101 * [backup-simplify]: Simplify 0 into 0
8.101 * [backup-simplify]: Simplify 1 into 1
8.101 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.101 * [backup-simplify]: Simplify (* 0 0) into 0
8.101 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
8.101 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
8.102 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.102 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.103 * [backup-simplify]: Simplify (+ 0 0) into 0
8.103 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
8.103 * [backup-simplify]: Simplify (log re) into (log re)
8.103 * [backup-simplify]: Simplify (* 1/3 (log re)) into (* 1/3 (log re))
8.103 * [backup-simplify]: Simplify (exp (* 1/3 (log re))) into (pow re 1/3)
8.103 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re
8.103 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re
8.103 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re
8.103 * [taylor]: Taking taylor expansion of 1/3 in re
8.103 * [backup-simplify]: Simplify 1/3 into 1/3
8.103 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re
8.103 * [taylor]: Taking taylor expansion of (hypot re im) in re
8.103 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
8.103 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
8.104 * [taylor]: Taking taylor expansion of (* re re) in re
8.104 * [taylor]: Taking taylor expansion of re in re
8.104 * [backup-simplify]: Simplify 0 into 0
8.104 * [backup-simplify]: Simplify 1 into 1
8.104 * [taylor]: Taking taylor expansion of re in re
8.104 * [backup-simplify]: Simplify 0 into 0
8.104 * [backup-simplify]: Simplify 1 into 1
8.104 * [taylor]: Taking taylor expansion of (* im im) in re
8.104 * [taylor]: Taking taylor expansion of im in re
8.104 * [backup-simplify]: Simplify im into im
8.104 * [taylor]: Taking taylor expansion of im in re
8.104 * [backup-simplify]: Simplify im into im
8.104 * [backup-simplify]: Simplify (* 0 0) into 0
8.104 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.104 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.105 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.105 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.105 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.106 * [backup-simplify]: Simplify (+ 0 0) into 0
8.106 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.106 * [backup-simplify]: Simplify (log im) into (log im)
8.106 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im))
8.106 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3)
8.106 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re
8.106 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re
8.106 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re
8.106 * [taylor]: Taking taylor expansion of 1/3 in re
8.106 * [backup-simplify]: Simplify 1/3 into 1/3
8.106 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re
8.106 * [taylor]: Taking taylor expansion of (hypot re im) in re
8.107 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
8.107 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
8.107 * [taylor]: Taking taylor expansion of (* re re) in re
8.107 * [taylor]: Taking taylor expansion of re in re
8.107 * [backup-simplify]: Simplify 0 into 0
8.107 * [backup-simplify]: Simplify 1 into 1
8.107 * [taylor]: Taking taylor expansion of re in re
8.107 * [backup-simplify]: Simplify 0 into 0
8.107 * [backup-simplify]: Simplify 1 into 1
8.107 * [taylor]: Taking taylor expansion of (* im im) in re
8.107 * [taylor]: Taking taylor expansion of im in re
8.107 * [backup-simplify]: Simplify im into im
8.107 * [taylor]: Taking taylor expansion of im in re
8.107 * [backup-simplify]: Simplify im into im
8.107 * [backup-simplify]: Simplify (* 0 0) into 0
8.107 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.108 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.108 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.108 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.108 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.109 * [backup-simplify]: Simplify (+ 0 0) into 0
8.109 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.109 * [backup-simplify]: Simplify (log im) into (log im)
8.109 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im))
8.109 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3)
8.109 * [taylor]: Taking taylor expansion of (pow im 1/3) in im
8.109 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im
8.109 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im
8.109 * [taylor]: Taking taylor expansion of 1/3 in im
8.110 * [backup-simplify]: Simplify 1/3 into 1/3
8.110 * [taylor]: Taking taylor expansion of (log im) in im
8.110 * [taylor]: Taking taylor expansion of im in im
8.110 * [backup-simplify]: Simplify 0 into 0
8.110 * [backup-simplify]: Simplify 1 into 1
8.110 * [backup-simplify]: Simplify (log 1) into 0
8.110 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im)
8.111 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im))
8.111 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3)
8.111 * [backup-simplify]: Simplify (pow im 1/3) into (pow im 1/3)
8.112 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0
8.112 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log im))) into 0
8.113 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
8.113 * [taylor]: Taking taylor expansion of 0 in im
8.113 * [backup-simplify]: Simplify 0 into 0
8.113 * [backup-simplify]: Simplify 0 into 0
8.114 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
8.115 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im)
8.122 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log im))) into 0
8.124 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
8.124 * [backup-simplify]: Simplify 0 into 0
8.125 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
8.125 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
8.126 * [backup-simplify]: Simplify (+ 1 0) into 1
8.127 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
8.129 * [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))
8.129 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im)))) into (* 1/6 (/ 1 (pow im 2)))
8.131 * [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))
8.131 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) in im
8.131 * [taylor]: Taking taylor expansion of 1/6 in im
8.131 * [backup-simplify]: Simplify 1/6 into 1/6
8.131 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im
8.131 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im
8.131 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im
8.131 * [taylor]: Taking taylor expansion of 1/3 in im
8.131 * [backup-simplify]: Simplify 1/3 into 1/3
8.131 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im
8.131 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im
8.131 * [taylor]: Taking taylor expansion of (pow im 5) in im
8.131 * [taylor]: Taking taylor expansion of im in im
8.131 * [backup-simplify]: Simplify 0 into 0
8.131 * [backup-simplify]: Simplify 1 into 1
8.132 * [backup-simplify]: Simplify (* 1 1) into 1
8.132 * [backup-simplify]: Simplify (* 1 1) into 1
8.132 * [backup-simplify]: Simplify (* 1 1) into 1
8.133 * [backup-simplify]: Simplify (/ 1 1) into 1
8.133 * [backup-simplify]: Simplify (log 1) into 0
8.133 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im)))
8.133 * [backup-simplify]: Simplify (* 1/3 (- (* 5 (log im)))) into (* -5/3 (log im))
8.133 * [backup-simplify]: Simplify (exp (* -5/3 (log im))) into (pow im -5/3)
8.134 * [backup-simplify]: Simplify (* 1/6 (pow im -5/3)) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3))
8.134 * [backup-simplify]: Simplify (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3))
8.134 * [backup-simplify]: Simplify 0 into 0
8.135 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
8.136 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im)
8.136 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log im)))) into 0
8.137 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.137 * [backup-simplify]: Simplify 0 into 0
8.138 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
8.138 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
8.139 * [backup-simplify]: Simplify (+ 0 0) into 0
8.139 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
8.140 * [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
8.141 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im))))) into 0
8.142 * [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
8.142 * [taylor]: Taking taylor expansion of 0 in im
8.142 * [backup-simplify]: Simplify 0 into 0
8.142 * [backup-simplify]: Simplify 0 into 0
8.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.145 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
8.145 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im)))
8.145 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 5 (log im))))) into 0
8.146 * [backup-simplify]: Simplify (* (exp (* -5/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
8.146 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (pow im -5/3))) into 0
8.146 * [backup-simplify]: Simplify 0 into 0
8.146 * [backup-simplify]: Simplify 0 into 0
8.149 * [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
8.150 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im)
8.150 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log im))))) into 0
8.151 * [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
8.151 * [backup-simplify]: Simplify 0 into 0
8.152 * [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))))
8.152 * [backup-simplify]: Simplify (cbrt (hypot (/ 1 re) (/ 1 im))) into (pow (hypot (/ 1 re) (/ 1 im)) 1/3)
8.152 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in (re im) around 0
8.152 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in im
8.152 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in im
8.152 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in im
8.152 * [taylor]: Taking taylor expansion of 1/3 in im
8.152 * [backup-simplify]: Simplify 1/3 into 1/3
8.152 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im
8.152 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
8.152 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
8.152 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
8.152 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
8.152 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.152 * [taylor]: Taking taylor expansion of re in im
8.152 * [backup-simplify]: Simplify re into re
8.152 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.152 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.152 * [taylor]: Taking taylor expansion of re in im
8.152 * [backup-simplify]: Simplify re into re
8.153 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.153 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
8.153 * [taylor]: Taking taylor expansion of (/ 1 im) in im
8.153 * [taylor]: Taking taylor expansion of im in im
8.153 * [backup-simplify]: Simplify 0 into 0
8.153 * [backup-simplify]: Simplify 1 into 1
8.153 * [backup-simplify]: Simplify (/ 1 1) into 1
8.153 * [taylor]: Taking taylor expansion of (/ 1 im) in im
8.153 * [taylor]: Taking taylor expansion of im in im
8.153 * [backup-simplify]: Simplify 0 into 0
8.153 * [backup-simplify]: Simplify 1 into 1
8.153 * [backup-simplify]: Simplify (/ 1 1) into 1
8.153 * [backup-simplify]: Simplify (* 1 1) into 1
8.154 * [backup-simplify]: Simplify (+ 0 1) into 1
8.154 * [backup-simplify]: Simplify (sqrt 1) into 1
8.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.156 * [backup-simplify]: Simplify (+ 0 0) into 0
8.156 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.156 * [backup-simplify]: Simplify (log 1) into 0
8.157 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
8.157 * [backup-simplify]: Simplify (* 1/3 (- (log im))) into (* -1/3 (log im))
8.157 * [backup-simplify]: Simplify (exp (* -1/3 (log im))) into (pow im -1/3)
8.157 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re
8.157 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re
8.157 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re
8.157 * [taylor]: Taking taylor expansion of 1/3 in re
8.157 * [backup-simplify]: Simplify 1/3 into 1/3
8.157 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re
8.157 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
8.157 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
8.157 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
8.157 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
8.157 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.157 * [taylor]: Taking taylor expansion of re in re
8.157 * [backup-simplify]: Simplify 0 into 0
8.157 * [backup-simplify]: Simplify 1 into 1
8.157 * [backup-simplify]: Simplify (/ 1 1) into 1
8.157 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.157 * [taylor]: Taking taylor expansion of re in re
8.157 * [backup-simplify]: Simplify 0 into 0
8.157 * [backup-simplify]: Simplify 1 into 1
8.158 * [backup-simplify]: Simplify (/ 1 1) into 1
8.158 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
8.158 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.158 * [taylor]: Taking taylor expansion of im in re
8.158 * [backup-simplify]: Simplify im into im
8.158 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.158 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.158 * [taylor]: Taking taylor expansion of im in re
8.158 * [backup-simplify]: Simplify im into im
8.158 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.158 * [backup-simplify]: Simplify (* 1 1) into 1
8.158 * [backup-simplify]: Simplify (+ 1 0) into 1
8.159 * [backup-simplify]: Simplify (sqrt 1) into 1
8.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.160 * [backup-simplify]: Simplify (+ 0 0) into 0
8.161 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.161 * [backup-simplify]: Simplify (log 1) into 0
8.161 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
8.161 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
8.161 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
8.161 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re
8.161 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re
8.161 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re
8.161 * [taylor]: Taking taylor expansion of 1/3 in re
8.161 * [backup-simplify]: Simplify 1/3 into 1/3
8.161 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re
8.161 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
8.162 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
8.162 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
8.162 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
8.162 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.162 * [taylor]: Taking taylor expansion of re in re
8.162 * [backup-simplify]: Simplify 0 into 0
8.162 * [backup-simplify]: Simplify 1 into 1
8.162 * [backup-simplify]: Simplify (/ 1 1) into 1
8.162 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.162 * [taylor]: Taking taylor expansion of re in re
8.162 * [backup-simplify]: Simplify 0 into 0
8.162 * [backup-simplify]: Simplify 1 into 1
8.162 * [backup-simplify]: Simplify (/ 1 1) into 1
8.162 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
8.162 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.162 * [taylor]: Taking taylor expansion of im in re
8.162 * [backup-simplify]: Simplify im into im
8.162 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.162 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.162 * [taylor]: Taking taylor expansion of im in re
8.162 * [backup-simplify]: Simplify im into im
8.162 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.163 * [backup-simplify]: Simplify (* 1 1) into 1
8.163 * [backup-simplify]: Simplify (+ 1 0) into 1
8.163 * [backup-simplify]: Simplify (sqrt 1) into 1
8.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.165 * [backup-simplify]: Simplify (+ 0 0) into 0
8.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.166 * [backup-simplify]: Simplify (log 1) into 0
8.166 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
8.166 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
8.167 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
8.167 * [taylor]: Taking taylor expansion of (pow re -1/3) in im
8.167 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im
8.167 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im
8.167 * [taylor]: Taking taylor expansion of -1/3 in im
8.167 * [backup-simplify]: Simplify -1/3 into -1/3
8.167 * [taylor]: Taking taylor expansion of (log re) in im
8.167 * [taylor]: Taking taylor expansion of re in im
8.167 * [backup-simplify]: Simplify re into re
8.167 * [backup-simplify]: Simplify (log re) into (log re)
8.167 * [backup-simplify]: Simplify (* -1/3 (log re)) into (* -1/3 (log re))
8.167 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
8.167 * [backup-simplify]: Simplify (pow re -1/3) into (pow re -1/3)
8.168 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
8.168 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
8.169 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0
8.169 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
8.169 * [taylor]: Taking taylor expansion of 0 in im
8.169 * [backup-simplify]: Simplify 0 into 0
8.169 * [backup-simplify]: Simplify 0 into 0
8.170 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
8.170 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log re))) into 0
8.171 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
8.171 * [backup-simplify]: Simplify 0 into 0
8.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.173 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
8.173 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.174 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.175 * [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))
8.175 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
8.175 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/6 (/ 1 (pow im 2)))
8.176 * [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))))
8.176 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im
8.176 * [taylor]: Taking taylor expansion of 1/6 in im
8.176 * [backup-simplify]: Simplify 1/6 into 1/6
8.176 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im
8.176 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im
8.176 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im
8.176 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im
8.176 * [taylor]: Taking taylor expansion of 1/3 in im
8.176 * [backup-simplify]: Simplify 1/3 into 1/3
8.176 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im
8.176 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.176 * [taylor]: Taking taylor expansion of re in im
8.176 * [backup-simplify]: Simplify re into re
8.176 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.176 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re))
8.176 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 re))) into (* 1/3 (log (/ 1 re)))
8.177 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 re)))) into (pow (/ 1 re) 1/3)
8.177 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.177 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.177 * [taylor]: Taking taylor expansion of im in im
8.177 * [backup-simplify]: Simplify 0 into 0
8.177 * [backup-simplify]: Simplify 1 into 1
8.177 * [backup-simplify]: Simplify (* 1 1) into 1
8.177 * [backup-simplify]: Simplify (/ 1 1) into 1
8.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.179 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
8.180 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0
8.180 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 re)))) into 0
8.180 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0
8.181 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
8.182 * [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
8.182 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0
8.183 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.184 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0
8.184 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 1)) into 0
8.184 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) 1) into (pow (/ 1 re) 1/3)
8.185 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/3)))) into 0
8.185 * [backup-simplify]: Simplify 0 into 0
8.185 * [backup-simplify]: Simplify 0 into 0
8.186 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
8.186 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log re)))) into 0
8.187 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.187 * [backup-simplify]: Simplify 0 into 0
8.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.189 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
8.189 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
8.189 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
8.189 * [backup-simplify]: Simplify (+ 0 0) into 0
8.190 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.192 * [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
8.192 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
8.193 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0
8.196 * [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
8.196 * [taylor]: Taking taylor expansion of 0 in im
8.196 * [backup-simplify]: Simplify 0 into 0
8.196 * [backup-simplify]: Simplify 0 into 0
8.196 * [backup-simplify]: Simplify (pow (/ 1 re) -1/3) into (pow (/ 1 re) -1/3)
8.196 * [backup-simplify]: Simplify (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) into (pow (hypot (/ -1 re) (/ -1 im)) 1/3)
8.196 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in (re im) around 0
8.196 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in im
8.196 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in im
8.196 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in im
8.196 * [taylor]: Taking taylor expansion of 1/3 in im
8.196 * [backup-simplify]: Simplify 1/3 into 1/3
8.196 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im
8.196 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
8.197 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
8.197 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
8.197 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
8.197 * [taylor]: Taking taylor expansion of (/ -1 re) in im
8.197 * [taylor]: Taking taylor expansion of -1 in im
8.197 * [backup-simplify]: Simplify -1 into -1
8.197 * [taylor]: Taking taylor expansion of re in im
8.197 * [backup-simplify]: Simplify re into re
8.197 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
8.197 * [taylor]: Taking taylor expansion of (/ -1 re) in im
8.197 * [taylor]: Taking taylor expansion of -1 in im
8.197 * [backup-simplify]: Simplify -1 into -1
8.197 * [taylor]: Taking taylor expansion of re in im
8.197 * [backup-simplify]: Simplify re into re
8.197 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
8.197 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
8.197 * [taylor]: Taking taylor expansion of (/ -1 im) in im
8.197 * [taylor]: Taking taylor expansion of -1 in im
8.197 * [backup-simplify]: Simplify -1 into -1
8.197 * [taylor]: Taking taylor expansion of im in im
8.197 * [backup-simplify]: Simplify 0 into 0
8.197 * [backup-simplify]: Simplify 1 into 1
8.197 * [backup-simplify]: Simplify (/ -1 1) into -1
8.197 * [taylor]: Taking taylor expansion of (/ -1 im) in im
8.197 * [taylor]: Taking taylor expansion of -1 in im
8.197 * [backup-simplify]: Simplify -1 into -1
8.197 * [taylor]: Taking taylor expansion of im in im
8.197 * [backup-simplify]: Simplify 0 into 0
8.197 * [backup-simplify]: Simplify 1 into 1
8.198 * [backup-simplify]: Simplify (/ -1 1) into -1
8.198 * [backup-simplify]: Simplify (* -1 -1) into 1
8.198 * [backup-simplify]: Simplify (+ 0 1) into 1
8.198 * [backup-simplify]: Simplify (sqrt 1) into 1
8.199 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.199 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.200 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
8.200 * [backup-simplify]: Simplify (+ 0 0) into 0
8.200 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.201 * [backup-simplify]: Simplify (log 1) into 0
8.201 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
8.201 * [backup-simplify]: Simplify (* 1/3 (- (log im))) into (* -1/3 (log im))
8.201 * [backup-simplify]: Simplify (exp (* -1/3 (log im))) into (pow im -1/3)
8.201 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re
8.201 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re
8.201 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re
8.201 * [taylor]: Taking taylor expansion of 1/3 in re
8.201 * [backup-simplify]: Simplify 1/3 into 1/3
8.201 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re
8.201 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
8.201 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
8.201 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
8.201 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
8.201 * [taylor]: Taking taylor expansion of (/ -1 re) in re
8.201 * [taylor]: Taking taylor expansion of -1 in re
8.201 * [backup-simplify]: Simplify -1 into -1
8.201 * [taylor]: Taking taylor expansion of re in re
8.201 * [backup-simplify]: Simplify 0 into 0
8.201 * [backup-simplify]: Simplify 1 into 1
8.202 * [backup-simplify]: Simplify (/ -1 1) into -1
8.202 * [taylor]: Taking taylor expansion of (/ -1 re) in re
8.202 * [taylor]: Taking taylor expansion of -1 in re
8.202 * [backup-simplify]: Simplify -1 into -1
8.202 * [taylor]: Taking taylor expansion of re in re
8.202 * [backup-simplify]: Simplify 0 into 0
8.202 * [backup-simplify]: Simplify 1 into 1
8.202 * [backup-simplify]: Simplify (/ -1 1) into -1
8.202 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
8.202 * [taylor]: Taking taylor expansion of (/ -1 im) in re
8.202 * [taylor]: Taking taylor expansion of -1 in re
8.202 * [backup-simplify]: Simplify -1 into -1
8.202 * [taylor]: Taking taylor expansion of im in re
8.202 * [backup-simplify]: Simplify im into im
8.202 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
8.202 * [taylor]: Taking taylor expansion of (/ -1 im) in re
8.202 * [taylor]: Taking taylor expansion of -1 in re
8.202 * [backup-simplify]: Simplify -1 into -1
8.202 * [taylor]: Taking taylor expansion of im in re
8.202 * [backup-simplify]: Simplify im into im
8.202 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
8.203 * [backup-simplify]: Simplify (* -1 -1) into 1
8.203 * [backup-simplify]: Simplify (+ 1 0) into 1
8.203 * [backup-simplify]: Simplify (sqrt 1) into 1
8.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.204 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
8.205 * [backup-simplify]: Simplify (+ 0 0) into 0
8.205 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.205 * [backup-simplify]: Simplify (log 1) into 0
8.206 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
8.206 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
8.206 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
8.206 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re
8.206 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re
8.206 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re
8.206 * [taylor]: Taking taylor expansion of 1/3 in re
8.206 * [backup-simplify]: Simplify 1/3 into 1/3
8.206 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re
8.206 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
8.206 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
8.206 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
8.206 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
8.206 * [taylor]: Taking taylor expansion of (/ -1 re) in re
8.206 * [taylor]: Taking taylor expansion of -1 in re
8.206 * [backup-simplify]: Simplify -1 into -1
8.206 * [taylor]: Taking taylor expansion of re in re
8.206 * [backup-simplify]: Simplify 0 into 0
8.206 * [backup-simplify]: Simplify 1 into 1
8.206 * [backup-simplify]: Simplify (/ -1 1) into -1
8.206 * [taylor]: Taking taylor expansion of (/ -1 re) in re
8.206 * [taylor]: Taking taylor expansion of -1 in re
8.206 * [backup-simplify]: Simplify -1 into -1
8.206 * [taylor]: Taking taylor expansion of re in re
8.206 * [backup-simplify]: Simplify 0 into 0
8.207 * [backup-simplify]: Simplify 1 into 1
8.207 * [backup-simplify]: Simplify (/ -1 1) into -1
8.207 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
8.207 * [taylor]: Taking taylor expansion of (/ -1 im) in re
8.207 * [taylor]: Taking taylor expansion of -1 in re
8.207 * [backup-simplify]: Simplify -1 into -1
8.207 * [taylor]: Taking taylor expansion of im in re
8.207 * [backup-simplify]: Simplify im into im
8.207 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
8.207 * [taylor]: Taking taylor expansion of (/ -1 im) in re
8.207 * [taylor]: Taking taylor expansion of -1 in re
8.207 * [backup-simplify]: Simplify -1 into -1
8.207 * [taylor]: Taking taylor expansion of im in re
8.207 * [backup-simplify]: Simplify im into im
8.207 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
8.207 * [backup-simplify]: Simplify (* -1 -1) into 1
8.208 * [backup-simplify]: Simplify (+ 1 0) into 1
8.208 * [backup-simplify]: Simplify (sqrt 1) into 1
8.208 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.209 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
8.209 * [backup-simplify]: Simplify (+ 0 0) into 0
8.210 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.210 * [backup-simplify]: Simplify (log 1) into 0
8.210 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
8.210 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
8.210 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
8.211 * [taylor]: Taking taylor expansion of (pow re -1/3) in im
8.211 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im
8.211 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im
8.211 * [taylor]: Taking taylor expansion of -1/3 in im
8.211 * [backup-simplify]: Simplify -1/3 into -1/3
8.211 * [taylor]: Taking taylor expansion of (log re) in im
8.211 * [taylor]: Taking taylor expansion of re in im
8.211 * [backup-simplify]: Simplify re into re
8.211 * [backup-simplify]: Simplify (log re) into (log re)
8.211 * [backup-simplify]: Simplify (* -1/3 (log re)) into (* -1/3 (log re))
8.211 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
8.211 * [backup-simplify]: Simplify (pow re -1/3) into (pow re -1/3)
8.212 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
8.212 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
8.212 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0
8.213 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
8.213 * [taylor]: Taking taylor expansion of 0 in im
8.213 * [backup-simplify]: Simplify 0 into 0
8.213 * [backup-simplify]: Simplify 0 into 0
8.213 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
8.214 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log re))) into 0
8.214 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
8.214 * [backup-simplify]: Simplify 0 into 0
8.215 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.215 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.216 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
8.216 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
8.216 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.217 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.218 * [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))
8.218 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
8.219 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/6 (/ 1 (pow im 2)))
8.220 * [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))))
8.220 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im
8.220 * [taylor]: Taking taylor expansion of 1/6 in im
8.220 * [backup-simplify]: Simplify 1/6 into 1/6
8.220 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im
8.220 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im
8.220 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im
8.220 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im
8.220 * [taylor]: Taking taylor expansion of 1/3 in im
8.220 * [backup-simplify]: Simplify 1/3 into 1/3
8.220 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im
8.220 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.220 * [taylor]: Taking taylor expansion of re in im
8.220 * [backup-simplify]: Simplify re into re
8.220 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.220 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re))
8.220 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 re))) into (* 1/3 (log (/ 1 re)))
8.220 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 re)))) into (pow (/ 1 re) 1/3)
8.220 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.220 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.220 * [taylor]: Taking taylor expansion of im in im
8.220 * [backup-simplify]: Simplify 0 into 0
8.220 * [backup-simplify]: Simplify 1 into 1
8.220 * [backup-simplify]: Simplify (* 1 1) into 1
8.221 * [backup-simplify]: Simplify (/ 1 1) into 1
8.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.229 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
8.230 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0
8.231 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 re)))) into 0
8.232 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0
8.232 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
8.234 * [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
8.235 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0
8.237 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.238 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0
8.238 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 1)) into 0
8.239 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) 1) into (pow (/ 1 re) 1/3)
8.240 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/3)))) into 0
8.240 * [backup-simplify]: Simplify 0 into 0
8.240 * [backup-simplify]: Simplify 0 into 0
8.242 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
8.243 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log re)))) into 0
8.244 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.244 * [backup-simplify]: Simplify 0 into 0
8.245 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.246 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.247 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
8.247 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
8.248 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
8.248 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
8.248 * [backup-simplify]: Simplify (+ 0 0) into 0
8.249 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.251 * [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
8.251 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
8.252 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0
8.253 * [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
8.253 * [taylor]: Taking taylor expansion of 0 in im
8.253 * [backup-simplify]: Simplify 0 into 0
8.253 * [backup-simplify]: Simplify 0 into 0
8.253 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -1/3) into (pow (/ -1 re) -1/3)
8.253 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2 1 1 1)
8.253 * [backup-simplify]: Simplify (cbrt (hypot re im)) into (pow (hypot re im) 1/3)
8.253 * [approximate]: Taking taylor expansion of (pow (hypot re im) 1/3) in (re im) around 0
8.253 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in im
8.254 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in im
8.254 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in im
8.254 * [taylor]: Taking taylor expansion of 1/3 in im
8.254 * [backup-simplify]: Simplify 1/3 into 1/3
8.254 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im
8.254 * [taylor]: Taking taylor expansion of (hypot re im) in im
8.254 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
8.254 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
8.254 * [taylor]: Taking taylor expansion of (* re re) in im
8.254 * [taylor]: Taking taylor expansion of re in im
8.254 * [backup-simplify]: Simplify re into re
8.254 * [taylor]: Taking taylor expansion of re in im
8.254 * [backup-simplify]: Simplify re into re
8.254 * [taylor]: Taking taylor expansion of (* im im) in im
8.254 * [taylor]: Taking taylor expansion of im in im
8.254 * [backup-simplify]: Simplify 0 into 0
8.254 * [backup-simplify]: Simplify 1 into 1
8.254 * [taylor]: Taking taylor expansion of im in im
8.254 * [backup-simplify]: Simplify 0 into 0
8.254 * [backup-simplify]: Simplify 1 into 1
8.254 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.254 * [backup-simplify]: Simplify (* 0 0) into 0
8.254 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
8.255 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
8.255 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.255 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.255 * [backup-simplify]: Simplify (+ 0 0) into 0
8.255 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
8.255 * [backup-simplify]: Simplify (log re) into (log re)
8.255 * [backup-simplify]: Simplify (* 1/3 (log re)) into (* 1/3 (log re))
8.255 * [backup-simplify]: Simplify (exp (* 1/3 (log re))) into (pow re 1/3)
8.255 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re
8.256 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re
8.256 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re
8.256 * [taylor]: Taking taylor expansion of 1/3 in re
8.256 * [backup-simplify]: Simplify 1/3 into 1/3
8.256 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re
8.256 * [taylor]: Taking taylor expansion of (hypot re im) in re
8.256 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
8.256 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
8.256 * [taylor]: Taking taylor expansion of (* re re) in re
8.256 * [taylor]: Taking taylor expansion of re in re
8.256 * [backup-simplify]: Simplify 0 into 0
8.256 * [backup-simplify]: Simplify 1 into 1
8.256 * [taylor]: Taking taylor expansion of re in re
8.256 * [backup-simplify]: Simplify 0 into 0
8.256 * [backup-simplify]: Simplify 1 into 1
8.256 * [taylor]: Taking taylor expansion of (* im im) in re
8.256 * [taylor]: Taking taylor expansion of im in re
8.256 * [backup-simplify]: Simplify im into im
8.256 * [taylor]: Taking taylor expansion of im in re
8.256 * [backup-simplify]: Simplify im into im
8.256 * [backup-simplify]: Simplify (* 0 0) into 0
8.256 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.256 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.256 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.257 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.257 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.257 * [backup-simplify]: Simplify (+ 0 0) into 0
8.257 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.257 * [backup-simplify]: Simplify (log im) into (log im)
8.257 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im))
8.257 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3)
8.257 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re
8.257 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re
8.257 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re
8.257 * [taylor]: Taking taylor expansion of 1/3 in re
8.257 * [backup-simplify]: Simplify 1/3 into 1/3
8.257 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re
8.257 * [taylor]: Taking taylor expansion of (hypot re im) in re
8.258 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
8.258 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
8.258 * [taylor]: Taking taylor expansion of (* re re) in re
8.258 * [taylor]: Taking taylor expansion of re in re
8.258 * [backup-simplify]: Simplify 0 into 0
8.258 * [backup-simplify]: Simplify 1 into 1
8.258 * [taylor]: Taking taylor expansion of re in re
8.258 * [backup-simplify]: Simplify 0 into 0
8.258 * [backup-simplify]: Simplify 1 into 1
8.258 * [taylor]: Taking taylor expansion of (* im im) in re
8.258 * [taylor]: Taking taylor expansion of im in re
8.258 * [backup-simplify]: Simplify im into im
8.258 * [taylor]: Taking taylor expansion of im in re
8.258 * [backup-simplify]: Simplify im into im
8.258 * [backup-simplify]: Simplify (* 0 0) into 0
8.258 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.258 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.258 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.259 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.259 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.259 * [backup-simplify]: Simplify (+ 0 0) into 0
8.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.259 * [backup-simplify]: Simplify (log im) into (log im)
8.259 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im))
8.259 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3)
8.259 * [taylor]: Taking taylor expansion of (pow im 1/3) in im
8.259 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im
8.259 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im
8.259 * [taylor]: Taking taylor expansion of 1/3 in im
8.259 * [backup-simplify]: Simplify 1/3 into 1/3
8.259 * [taylor]: Taking taylor expansion of (log im) in im
8.259 * [taylor]: Taking taylor expansion of im in im
8.259 * [backup-simplify]: Simplify 0 into 0
8.259 * [backup-simplify]: Simplify 1 into 1
8.260 * [backup-simplify]: Simplify (log 1) into 0
8.260 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im)
8.260 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im))
8.260 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3)
8.260 * [backup-simplify]: Simplify (pow im 1/3) into (pow im 1/3)
8.261 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0
8.261 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log im))) into 0
8.262 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
8.262 * [taylor]: Taking taylor expansion of 0 in im
8.262 * [backup-simplify]: Simplify 0 into 0
8.262 * [backup-simplify]: Simplify 0 into 0
8.262 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
8.263 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im)
8.263 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log im))) into 0
8.263 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
8.263 * [backup-simplify]: Simplify 0 into 0
8.264 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
8.264 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
8.264 * [backup-simplify]: Simplify (+ 1 0) into 1
8.265 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
8.266 * [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))
8.266 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im)))) into (* 1/6 (/ 1 (pow im 2)))
8.267 * [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))
8.267 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) in im
8.267 * [taylor]: Taking taylor expansion of 1/6 in im
8.267 * [backup-simplify]: Simplify 1/6 into 1/6
8.267 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im
8.267 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im
8.267 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im
8.267 * [taylor]: Taking taylor expansion of 1/3 in im
8.267 * [backup-simplify]: Simplify 1/3 into 1/3
8.267 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im
8.267 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im
8.267 * [taylor]: Taking taylor expansion of (pow im 5) in im
8.267 * [taylor]: Taking taylor expansion of im in im
8.267 * [backup-simplify]: Simplify 0 into 0
8.267 * [backup-simplify]: Simplify 1 into 1
8.267 * [backup-simplify]: Simplify (* 1 1) into 1
8.267 * [backup-simplify]: Simplify (* 1 1) into 1
8.268 * [backup-simplify]: Simplify (* 1 1) into 1
8.268 * [backup-simplify]: Simplify (/ 1 1) into 1
8.268 * [backup-simplify]: Simplify (log 1) into 0
8.268 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im)))
8.269 * [backup-simplify]: Simplify (* 1/3 (- (* 5 (log im)))) into (* -5/3 (log im))
8.269 * [backup-simplify]: Simplify (exp (* -5/3 (log im))) into (pow im -5/3)
8.269 * [backup-simplify]: Simplify (* 1/6 (pow im -5/3)) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3))
8.269 * [backup-simplify]: Simplify (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3))
8.269 * [backup-simplify]: Simplify 0 into 0
8.270 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
8.271 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im)
8.271 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log im)))) into 0
8.272 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.272 * [backup-simplify]: Simplify 0 into 0
8.273 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
8.273 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
8.273 * [backup-simplify]: Simplify (+ 0 0) into 0
8.274 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
8.275 * [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
8.276 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im))))) into 0
8.277 * [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
8.277 * [taylor]: Taking taylor expansion of 0 in im
8.277 * [backup-simplify]: Simplify 0 into 0
8.277 * [backup-simplify]: Simplify 0 into 0
8.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.279 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
8.280 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im)))
8.280 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 5 (log im))))) into 0
8.281 * [backup-simplify]: Simplify (* (exp (* -5/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
8.281 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (pow im -5/3))) into 0
8.282 * [backup-simplify]: Simplify 0 into 0
8.282 * [backup-simplify]: Simplify 0 into 0
8.287 * [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
8.287 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im)
8.289 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log im))))) into 0
8.290 * [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
8.290 * [backup-simplify]: Simplify 0 into 0
8.291 * [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))))
8.291 * [backup-simplify]: Simplify (cbrt (hypot (/ 1 re) (/ 1 im))) into (pow (hypot (/ 1 re) (/ 1 im)) 1/3)
8.291 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in (re im) around 0
8.291 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in im
8.291 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in im
8.292 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in im
8.292 * [taylor]: Taking taylor expansion of 1/3 in im
8.292 * [backup-simplify]: Simplify 1/3 into 1/3
8.292 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im
8.292 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
8.292 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
8.292 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
8.292 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
8.292 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.292 * [taylor]: Taking taylor expansion of re in im
8.292 * [backup-simplify]: Simplify re into re
8.292 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.292 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.292 * [taylor]: Taking taylor expansion of re in im
8.292 * [backup-simplify]: Simplify re into re
8.292 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.292 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
8.292 * [taylor]: Taking taylor expansion of (/ 1 im) in im
8.292 * [taylor]: Taking taylor expansion of im in im
8.292 * [backup-simplify]: Simplify 0 into 0
8.292 * [backup-simplify]: Simplify 1 into 1
8.293 * [backup-simplify]: Simplify (/ 1 1) into 1
8.293 * [taylor]: Taking taylor expansion of (/ 1 im) in im
8.293 * [taylor]: Taking taylor expansion of im in im
8.293 * [backup-simplify]: Simplify 0 into 0
8.293 * [backup-simplify]: Simplify 1 into 1
8.294 * [backup-simplify]: Simplify (/ 1 1) into 1
8.294 * [backup-simplify]: Simplify (* 1 1) into 1
8.294 * [backup-simplify]: Simplify (+ 0 1) into 1
8.295 * [backup-simplify]: Simplify (sqrt 1) into 1
8.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.297 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.297 * [backup-simplify]: Simplify (+ 0 0) into 0
8.298 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.298 * [backup-simplify]: Simplify (log 1) into 0
8.299 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
8.299 * [backup-simplify]: Simplify (* 1/3 (- (log im))) into (* -1/3 (log im))
8.299 * [backup-simplify]: Simplify (exp (* -1/3 (log im))) into (pow im -1/3)
8.299 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re
8.299 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re
8.299 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re
8.299 * [taylor]: Taking taylor expansion of 1/3 in re
8.299 * [backup-simplify]: Simplify 1/3 into 1/3
8.299 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re
8.299 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
8.299 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
8.299 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
8.299 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
8.299 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.299 * [taylor]: Taking taylor expansion of re in re
8.299 * [backup-simplify]: Simplify 0 into 0
8.299 * [backup-simplify]: Simplify 1 into 1
8.300 * [backup-simplify]: Simplify (/ 1 1) into 1
8.300 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.300 * [taylor]: Taking taylor expansion of re in re
8.300 * [backup-simplify]: Simplify 0 into 0
8.300 * [backup-simplify]: Simplify 1 into 1
8.300 * [backup-simplify]: Simplify (/ 1 1) into 1
8.300 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
8.300 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.300 * [taylor]: Taking taylor expansion of im in re
8.300 * [backup-simplify]: Simplify im into im
8.301 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.301 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.301 * [taylor]: Taking taylor expansion of im in re
8.301 * [backup-simplify]: Simplify im into im
8.301 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.301 * [backup-simplify]: Simplify (* 1 1) into 1
8.302 * [backup-simplify]: Simplify (+ 1 0) into 1
8.302 * [backup-simplify]: Simplify (sqrt 1) into 1
8.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.305 * [backup-simplify]: Simplify (+ 0 0) into 0
8.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.306 * [backup-simplify]: Simplify (log 1) into 0
8.306 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
8.306 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
8.306 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
8.306 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re
8.306 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re
8.307 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re
8.307 * [taylor]: Taking taylor expansion of 1/3 in re
8.307 * [backup-simplify]: Simplify 1/3 into 1/3
8.307 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re
8.307 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
8.307 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
8.307 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
8.307 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
8.307 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.307 * [taylor]: Taking taylor expansion of re in re
8.307 * [backup-simplify]: Simplify 0 into 0
8.307 * [backup-simplify]: Simplify 1 into 1
8.307 * [backup-simplify]: Simplify (/ 1 1) into 1
8.307 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.308 * [taylor]: Taking taylor expansion of re in re
8.308 * [backup-simplify]: Simplify 0 into 0
8.308 * [backup-simplify]: Simplify 1 into 1
8.308 * [backup-simplify]: Simplify (/ 1 1) into 1
8.308 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
8.308 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.308 * [taylor]: Taking taylor expansion of im in re
8.308 * [backup-simplify]: Simplify im into im
8.308 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.308 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.308 * [taylor]: Taking taylor expansion of im in re
8.308 * [backup-simplify]: Simplify im into im
8.308 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.309 * [backup-simplify]: Simplify (* 1 1) into 1
8.309 * [backup-simplify]: Simplify (+ 1 0) into 1
8.310 * [backup-simplify]: Simplify (sqrt 1) into 1
8.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.312 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.312 * [backup-simplify]: Simplify (+ 0 0) into 0
8.313 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.313 * [backup-simplify]: Simplify (log 1) into 0
8.314 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
8.314 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
8.314 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
8.314 * [taylor]: Taking taylor expansion of (pow re -1/3) in im
8.314 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im
8.314 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im
8.314 * [taylor]: Taking taylor expansion of -1/3 in im
8.314 * [backup-simplify]: Simplify -1/3 into -1/3
8.314 * [taylor]: Taking taylor expansion of (log re) in im
8.314 * [taylor]: Taking taylor expansion of re in im
8.314 * [backup-simplify]: Simplify re into re
8.315 * [backup-simplify]: Simplify (log re) into (log re)
8.315 * [backup-simplify]: Simplify (* -1/3 (log re)) into (* -1/3 (log re))
8.315 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
8.315 * [backup-simplify]: Simplify (pow re -1/3) into (pow re -1/3)
8.316 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
8.317 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
8.317 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0
8.318 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
8.318 * [taylor]: Taking taylor expansion of 0 in im
8.318 * [backup-simplify]: Simplify 0 into 0
8.318 * [backup-simplify]: Simplify 0 into 0
8.319 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
8.320 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log re))) into 0
8.321 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
8.321 * [backup-simplify]: Simplify 0 into 0
8.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.324 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
8.324 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.325 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.327 * [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))
8.328 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
8.328 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/6 (/ 1 (pow im 2)))
8.330 * [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))))
8.330 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im
8.330 * [taylor]: Taking taylor expansion of 1/6 in im
8.330 * [backup-simplify]: Simplify 1/6 into 1/6
8.330 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im
8.330 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im
8.330 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im
8.330 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im
8.330 * [taylor]: Taking taylor expansion of 1/3 in im
8.330 * [backup-simplify]: Simplify 1/3 into 1/3
8.330 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im
8.330 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.330 * [taylor]: Taking taylor expansion of re in im
8.330 * [backup-simplify]: Simplify re into re
8.330 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.330 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re))
8.330 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 re))) into (* 1/3 (log (/ 1 re)))
8.330 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 re)))) into (pow (/ 1 re) 1/3)
8.330 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.330 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.330 * [taylor]: Taking taylor expansion of im in im
8.330 * [backup-simplify]: Simplify 0 into 0
8.331 * [backup-simplify]: Simplify 1 into 1
8.331 * [backup-simplify]: Simplify (* 1 1) into 1
8.331 * [backup-simplify]: Simplify (/ 1 1) into 1
8.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.335 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
8.336 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0
8.336 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 re)))) into 0
8.337 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0
8.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
8.339 * [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
8.340 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0
8.342 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.342 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0
8.343 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 1)) into 0
8.343 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) 1) into (pow (/ 1 re) 1/3)
8.344 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/3)))) into 0
8.344 * [backup-simplify]: Simplify 0 into 0
8.345 * [backup-simplify]: Simplify 0 into 0
8.346 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
8.347 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log re)))) into 0
8.349 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.349 * [backup-simplify]: Simplify 0 into 0
8.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.353 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
8.353 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
8.353 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
8.354 * [backup-simplify]: Simplify (+ 0 0) into 0
8.354 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.358 * [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
8.359 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
8.360 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0
8.369 * [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
8.369 * [taylor]: Taking taylor expansion of 0 in im
8.369 * [backup-simplify]: Simplify 0 into 0
8.369 * [backup-simplify]: Simplify 0 into 0
8.369 * [backup-simplify]: Simplify (pow (/ 1 re) -1/3) into (pow (/ 1 re) -1/3)
8.369 * [backup-simplify]: Simplify (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) into (pow (hypot (/ -1 re) (/ -1 im)) 1/3)
8.369 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in (re im) around 0
8.369 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in im
8.369 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in im
8.369 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in im
8.369 * [taylor]: Taking taylor expansion of 1/3 in im
8.369 * [backup-simplify]: Simplify 1/3 into 1/3
8.369 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im
8.369 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
8.370 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
8.370 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
8.370 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
8.370 * [taylor]: Taking taylor expansion of (/ -1 re) in im
8.370 * [taylor]: Taking taylor expansion of -1 in im
8.370 * [backup-simplify]: Simplify -1 into -1
8.370 * [taylor]: Taking taylor expansion of re in im
8.370 * [backup-simplify]: Simplify re into re
8.370 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
8.370 * [taylor]: Taking taylor expansion of (/ -1 re) in im
8.370 * [taylor]: Taking taylor expansion of -1 in im
8.370 * [backup-simplify]: Simplify -1 into -1
8.370 * [taylor]: Taking taylor expansion of re in im
8.370 * [backup-simplify]: Simplify re into re
8.370 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
8.370 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
8.370 * [taylor]: Taking taylor expansion of (/ -1 im) in im
8.370 * [taylor]: Taking taylor expansion of -1 in im
8.370 * [backup-simplify]: Simplify -1 into -1
8.370 * [taylor]: Taking taylor expansion of im in im
8.370 * [backup-simplify]: Simplify 0 into 0
8.370 * [backup-simplify]: Simplify 1 into 1
8.371 * [backup-simplify]: Simplify (/ -1 1) into -1
8.371 * [taylor]: Taking taylor expansion of (/ -1 im) in im
8.371 * [taylor]: Taking taylor expansion of -1 in im
8.371 * [backup-simplify]: Simplify -1 into -1
8.371 * [taylor]: Taking taylor expansion of im in im
8.371 * [backup-simplify]: Simplify 0 into 0
8.371 * [backup-simplify]: Simplify 1 into 1
8.371 * [backup-simplify]: Simplify (/ -1 1) into -1
8.372 * [backup-simplify]: Simplify (* -1 -1) into 1
8.372 * [backup-simplify]: Simplify (+ 0 1) into 1
8.373 * [backup-simplify]: Simplify (sqrt 1) into 1
8.373 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.374 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.375 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
8.375 * [backup-simplify]: Simplify (+ 0 0) into 0
8.376 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.376 * [backup-simplify]: Simplify (log 1) into 0
8.377 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
8.377 * [backup-simplify]: Simplify (* 1/3 (- (log im))) into (* -1/3 (log im))
8.377 * [backup-simplify]: Simplify (exp (* -1/3 (log im))) into (pow im -1/3)
8.377 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re
8.377 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re
8.377 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re
8.377 * [taylor]: Taking taylor expansion of 1/3 in re
8.377 * [backup-simplify]: Simplify 1/3 into 1/3
8.377 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re
8.377 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
8.377 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
8.377 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
8.377 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
8.377 * [taylor]: Taking taylor expansion of (/ -1 re) in re
8.377 * [taylor]: Taking taylor expansion of -1 in re
8.377 * [backup-simplify]: Simplify -1 into -1
8.377 * [taylor]: Taking taylor expansion of re in re
8.377 * [backup-simplify]: Simplify 0 into 0
8.377 * [backup-simplify]: Simplify 1 into 1
8.377 * [backup-simplify]: Simplify (/ -1 1) into -1
8.377 * [taylor]: Taking taylor expansion of (/ -1 re) in re
8.377 * [taylor]: Taking taylor expansion of -1 in re
8.378 * [backup-simplify]: Simplify -1 into -1
8.378 * [taylor]: Taking taylor expansion of re in re
8.378 * [backup-simplify]: Simplify 0 into 0
8.378 * [backup-simplify]: Simplify 1 into 1
8.378 * [backup-simplify]: Simplify (/ -1 1) into -1
8.378 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
8.378 * [taylor]: Taking taylor expansion of (/ -1 im) in re
8.378 * [taylor]: Taking taylor expansion of -1 in re
8.378 * [backup-simplify]: Simplify -1 into -1
8.378 * [taylor]: Taking taylor expansion of im in re
8.378 * [backup-simplify]: Simplify im into im
8.378 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
8.378 * [taylor]: Taking taylor expansion of (/ -1 im) in re
8.378 * [taylor]: Taking taylor expansion of -1 in re
8.378 * [backup-simplify]: Simplify -1 into -1
8.378 * [taylor]: Taking taylor expansion of im in re
8.378 * [backup-simplify]: Simplify im into im
8.378 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
8.378 * [backup-simplify]: Simplify (* -1 -1) into 1
8.379 * [backup-simplify]: Simplify (+ 1 0) into 1
8.379 * [backup-simplify]: Simplify (sqrt 1) into 1
8.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.380 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.380 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
8.380 * [backup-simplify]: Simplify (+ 0 0) into 0
8.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.381 * [backup-simplify]: Simplify (log 1) into 0
8.381 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
8.381 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
8.381 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
8.381 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re
8.382 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re
8.382 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re
8.382 * [taylor]: Taking taylor expansion of 1/3 in re
8.382 * [backup-simplify]: Simplify 1/3 into 1/3
8.382 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re
8.382 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
8.382 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
8.382 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
8.382 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
8.382 * [taylor]: Taking taylor expansion of (/ -1 re) in re
8.382 * [taylor]: Taking taylor expansion of -1 in re
8.382 * [backup-simplify]: Simplify -1 into -1
8.382 * [taylor]: Taking taylor expansion of re in re
8.382 * [backup-simplify]: Simplify 0 into 0
8.382 * [backup-simplify]: Simplify 1 into 1
8.382 * [backup-simplify]: Simplify (/ -1 1) into -1
8.382 * [taylor]: Taking taylor expansion of (/ -1 re) in re
8.382 * [taylor]: Taking taylor expansion of -1 in re
8.382 * [backup-simplify]: Simplify -1 into -1
8.382 * [taylor]: Taking taylor expansion of re in re
8.382 * [backup-simplify]: Simplify 0 into 0
8.382 * [backup-simplify]: Simplify 1 into 1
8.382 * [backup-simplify]: Simplify (/ -1 1) into -1
8.382 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
8.383 * [taylor]: Taking taylor expansion of (/ -1 im) in re
8.383 * [taylor]: Taking taylor expansion of -1 in re
8.383 * [backup-simplify]: Simplify -1 into -1
8.383 * [taylor]: Taking taylor expansion of im in re
8.383 * [backup-simplify]: Simplify im into im
8.383 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
8.383 * [taylor]: Taking taylor expansion of (/ -1 im) in re
8.383 * [taylor]: Taking taylor expansion of -1 in re
8.383 * [backup-simplify]: Simplify -1 into -1
8.383 * [taylor]: Taking taylor expansion of im in re
8.383 * [backup-simplify]: Simplify im into im
8.383 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
8.383 * [backup-simplify]: Simplify (* -1 -1) into 1
8.383 * [backup-simplify]: Simplify (+ 1 0) into 1
8.383 * [backup-simplify]: Simplify (sqrt 1) into 1
8.384 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.384 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.385 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
8.385 * [backup-simplify]: Simplify (+ 0 0) into 0
8.385 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.386 * [backup-simplify]: Simplify (log 1) into 0
8.386 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
8.386 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
8.386 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
8.386 * [taylor]: Taking taylor expansion of (pow re -1/3) in im
8.386 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im
8.386 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im
8.386 * [taylor]: Taking taylor expansion of -1/3 in im
8.386 * [backup-simplify]: Simplify -1/3 into -1/3
8.386 * [taylor]: Taking taylor expansion of (log re) in im
8.386 * [taylor]: Taking taylor expansion of re in im
8.386 * [backup-simplify]: Simplify re into re
8.386 * [backup-simplify]: Simplify (log re) into (log re)
8.386 * [backup-simplify]: Simplify (* -1/3 (log re)) into (* -1/3 (log re))
8.386 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
8.387 * [backup-simplify]: Simplify (pow re -1/3) into (pow re -1/3)
8.387 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
8.388 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
8.388 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0
8.388 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
8.388 * [taylor]: Taking taylor expansion of 0 in im
8.388 * [backup-simplify]: Simplify 0 into 0
8.388 * [backup-simplify]: Simplify 0 into 0
8.389 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
8.389 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log re))) into 0
8.390 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
8.390 * [backup-simplify]: Simplify 0 into 0
8.390 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.391 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
8.392 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
8.392 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.392 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.394 * [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))
8.394 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
8.395 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/6 (/ 1 (pow im 2)))
8.395 * [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))))
8.395 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im
8.395 * [taylor]: Taking taylor expansion of 1/6 in im
8.395 * [backup-simplify]: Simplify 1/6 into 1/6
8.395 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im
8.395 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im
8.395 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im
8.395 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im
8.395 * [taylor]: Taking taylor expansion of 1/3 in im
8.395 * [backup-simplify]: Simplify 1/3 into 1/3
8.395 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im
8.395 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.395 * [taylor]: Taking taylor expansion of re in im
8.395 * [backup-simplify]: Simplify re into re
8.395 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.396 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re))
8.396 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 re))) into (* 1/3 (log (/ 1 re)))
8.396 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 re)))) into (pow (/ 1 re) 1/3)
8.396 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.396 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.396 * [taylor]: Taking taylor expansion of im in im
8.396 * [backup-simplify]: Simplify 0 into 0
8.396 * [backup-simplify]: Simplify 1 into 1
8.396 * [backup-simplify]: Simplify (* 1 1) into 1
8.396 * [backup-simplify]: Simplify (/ 1 1) into 1
8.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.397 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.398 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
8.399 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0
8.399 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 re)))) into 0
8.400 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0
8.400 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
8.401 * [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
8.402 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0
8.403 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.404 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0
8.405 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 1)) into 0
8.405 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) 1) into (pow (/ 1 re) 1/3)
8.406 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/3)))) into 0
8.406 * [backup-simplify]: Simplify 0 into 0
8.406 * [backup-simplify]: Simplify 0 into 0
8.408 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
8.409 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log re)))) into 0
8.410 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.410 * [backup-simplify]: Simplify 0 into 0
8.411 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.412 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.413 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
8.414 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
8.414 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
8.414 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
8.414 * [backup-simplify]: Simplify (+ 0 0) into 0
8.415 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.419 * [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
8.419 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
8.420 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0
8.422 * [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
8.423 * [taylor]: Taking taylor expansion of 0 in im
8.423 * [backup-simplify]: Simplify 0 into 0
8.423 * [backup-simplify]: Simplify 0 into 0
8.423 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -1/3) into (pow (/ -1 re) -1/3)
8.423 * * * [progress]: simplifying candidates
8.425 * [simplify]: Simplifying:
  (expm1 (+ re (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))))))
  (log1p (+ re (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))))))
  (* (exp re) (exp (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))))))
  (log (+ re (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))))))
  (exp (+ re (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))))))
  (* (cbrt (+ re (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im)))))) (cbrt (+ re (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im)))))))
  (cbrt (+ re (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))))))
  (* (* (+ re (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))))) (+ re (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im)))))) (+ re (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))))))
  (sqrt (+ re (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))))))
  (sqrt (+ re (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))))))
  (+ (pow re 3) (pow (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im)))) 3))
  (+ (* re re) (- (* (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im)))) (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))))) (* re (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im)))))))
  (- (* re re) (* (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im)))) (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))))))
  (- re (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (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)))
  (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
  (+ (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)
  (+ (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)
8.427 * * [simplify]: Extracting # 0 : cost  0
8.427 * * [simplify]: Extracting # 1 : cost  0
8.427 * * [simplify]: Extracting # 2 : cost  0
8.427 * * [simplify]: Extracting # 3 : cost  0
8.427 * * [simplify]: Extracting # 4 : cost  0
8.428 * * [simplify]: Extracting # 5 : cost  0
8.428 * * [simplify]: Extracting # 6 : cost  0
8.428 * * [simplify]: Extracting # 7 : cost  0
8.428 * * [simplify]: Extracting # 8 : cost  0
8.428 * * [simplify]: Extracting # 9 : cost  0
8.428 * * [simplify]: Extracting # 10 : cost  0
8.429 * * [simplify]: Extracting # 11 : cost  0
8.429 * * [simplify]: Extracting # 12 : cost  0
8.429 * * [simplify]: iteration  0 :  66  enodes  (cost  842 )
8.456 * * [simplify]: Extracting # 0 : cost  0
8.456 * * [simplify]: Extracting # 1 : cost  0
8.456 * * [simplify]: Extracting # 2 : cost  0
8.457 * * [simplify]: Extracting # 3 : cost  0
8.457 * * [simplify]: Extracting # 4 : cost  0
8.457 * * [simplify]: iteration  1 :  156  enodes  (cost  714 )
8.573 * * [simplify]: Extracting # 0 : cost  0
8.574 * * [simplify]: Extracting # 1 : cost  0
8.575 * * [simplify]: Extracting # 2 : cost  0
8.577 * * [simplify]: Extracting # 3 : cost  0
8.578 * * [simplify]: Extracting # 4 : cost  0
8.579 * * [simplify]: iteration  2 :  613  enodes  (cost  638 )
9.295 * * [simplify]: Extracting # 0 : cost  0
9.303 * * [simplify]: Extracting # 1 : cost  0
9.313 * * [simplify]: Extracting # 2 : cost  0
9.323 * * [simplify]: Extracting # 3 : cost  0
9.338 * * [simplify]: Extracting # 4 : cost  0
9.348 * * [simplify]: iteration  3 :  4163  enodes  (cost  595 )
11.380 * * [simplify]: Extracting # 0 : cost  0
11.389 * * [simplify]: Extracting # 1 : cost  0
11.398 * * [simplify]: iteration done:  5000  enodes  (cost  595 )
11.398 * [simplify]: Simplified to:
  (expm1 (fma (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (fabs (cbrt (hypot re im))) re))
  (log1p (fma (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (fabs (cbrt (hypot re im))) re))
  (exp (fma (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (fabs (cbrt (hypot re im))) re))
  (log (fma (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (fabs (cbrt (hypot re im))) re))
  (exp (fma (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (fabs (cbrt (hypot re im))) re))
  (* (cbrt (fma (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (fabs (cbrt (hypot re im))) re)) (cbrt (fma (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (fabs (cbrt (hypot re im))) re)))
  (cbrt (fma (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (fabs (cbrt (hypot re im))) re))
  (pow (fma (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (fabs (cbrt (hypot re im))) re) 3)
  (sqrt (fma (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (fabs (cbrt (hypot re im))) re))
  (sqrt (fma (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (fabs (cbrt (hypot re im))) re))
  (+ (pow re 3) (pow (* (fabs (cbrt (hypot re im))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im)))) 3))
  (- (* (hypot re im) (hypot re im)) (* re (- (* (fabs (cbrt (hypot re im))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im)))) re)))
  (- (* re re) (* (hypot re im) (hypot re im)))
  (- re (* (fabs (cbrt (hypot re im))) (* (sqrt (cbrt (hypot re im))) (sqrt (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)))
  1
  (cbrt (hypot re im))
  (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im))))
  (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 (* (cbrt (hypot re im)) (cbrt (hypot re im))))
  (cbrt (cbrt (hypot re im)))
  (cbrt (sqrt (hypot re im)))
  (cbrt (sqrt (hypot re im)))
  1
  (cbrt (hypot re im))
  (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im))))
  (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 (* (cbrt (hypot re im)) (cbrt (hypot re im))))
  (cbrt (cbrt (hypot re im)))
  (cbrt (sqrt (hypot re im)))
  (cbrt (sqrt (hypot re im)))
  1
  (cbrt (hypot re im))
  (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im))))
  (cbrt (cbrt (hypot re im)))
  (hypot re im)
  (sqrt (cbrt (hypot re im)))
  (sqrt (cbrt (hypot re im)))
  (+ re im)
  (* 2 re)
  0
  (fma (* 1/6 (* re re)) (cbrt (/ 1 (pow im 5))) (cbrt im))
  (pow (/ 1 re) -1/3)
  (pow (/ -1 re) -1/3)
  (fma (* 1/6 (* re re)) (cbrt (/ 1 (pow im 5))) (cbrt im))
  (pow (/ 1 re) -1/3)
  (pow (/ -1 re) -1/3)
  (fma (* 1/6 (* re re)) (cbrt (/ 1 (pow im 5))) (cbrt im))
  (pow (/ 1 re) -1/3)
  (pow (/ -1 re) -1/3)
11.399 * * * [progress]: adding candidates to table
11.859 * [progress]: [Phase 3 of 3] Extracting.
11.859 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (* 0.5 (* (sqrt (+ re (hypot re im))) (sqrt 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (cbrt re) (cbrt re)) (cbrt 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 (* (sqrt (hypot re im)) (* (* (cbrt (sqrt (hypot re im))) (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 (hypot re im)))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (* (cbrt (sqrt (hypot re im))) (pow (cbrt (sqrt (hypot re im))) (+ 3 1))) (cbrt (sqrt (hypot re im))))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (cbrt re) (cbrt re)) (cbrt re) (hypot re im)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (/ (+ (pow re 3) (pow (* (fabs (cbrt (hypot re im))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im)))) 3)) (- (* (hypot re im) (hypot re im)) (* re (- (* (fabs (cbrt (hypot re im))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im)))) re)))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (sqrt (hypot re im)) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (expm1 (log1p (fma (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (fabs (cbrt (hypot re im))) re))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (cbrt (fma (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (fabs (cbrt (hypot re im))) re)) (cbrt (fma (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (fabs (cbrt (hypot re im))) re))) (cbrt (fma (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (fabs (cbrt (hypot re im))) re))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (fma (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (fabs (cbrt (hypot re im))) re)) (sqrt (fma (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (fabs (cbrt (hypot re im))) re))) 2.0))))>)
11.864 * * * [regime-changes]: Trying 2 branch expressions: (im re)
11.864 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (* 0.5 (* (sqrt (+ re (hypot re im))) (sqrt 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (cbrt re) (cbrt re)) (cbrt 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 (* (sqrt (hypot re im)) (* (* (cbrt (sqrt (hypot re im))) (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 (hypot re im)))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (* (cbrt (sqrt (hypot re im))) (pow (cbrt (sqrt (hypot re im))) (+ 3 1))) (cbrt (sqrt (hypot re im))))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (cbrt re) (cbrt re)) (cbrt re) (hypot re im)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (/ (+ (pow re 3) (pow (* (fabs (cbrt (hypot re im))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im)))) 3)) (- (* (hypot re im) (hypot re im)) (* re (- (* (fabs (cbrt (hypot re im))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im)))) re)))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (sqrt (hypot re im)) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (expm1 (log1p (fma (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (fabs (cbrt (hypot re im))) re))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (cbrt (fma (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (fabs (cbrt (hypot re im))) re)) (cbrt (fma (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (fabs (cbrt (hypot re im))) re))) (cbrt (fma (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (fabs (cbrt (hypot re im))) re))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (fma (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (fabs (cbrt (hypot re im))) re)) (sqrt (fma (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (fabs (cbrt (hypot re im))) re))) 2.0))))>)
11.926 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (* 0.5 (* (sqrt (+ re (hypot re im))) (sqrt 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (cbrt re) (cbrt re)) (cbrt 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 (* (sqrt (hypot re im)) (* (* (cbrt (sqrt (hypot re im))) (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 (hypot re im)))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (* (cbrt (sqrt (hypot re im))) (pow (cbrt (sqrt (hypot re im))) (+ 3 1))) (cbrt (sqrt (hypot re im))))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (cbrt re) (cbrt re)) (cbrt re) (hypot re im)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (/ (+ (pow re 3) (pow (* (fabs (cbrt (hypot re im))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im)))) 3)) (- (* (hypot re im) (hypot re im)) (* re (- (* (fabs (cbrt (hypot re im))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im)))) re)))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (sqrt (hypot re im)) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (expm1 (log1p (fma (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (fabs (cbrt (hypot re im))) re))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (* (cbrt (fma (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (fabs (cbrt (hypot re im))) re)) (cbrt (fma (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (fabs (cbrt (hypot re im))) re))) (cbrt (fma (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (fabs (cbrt (hypot re im))) re))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (fma (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (fabs (cbrt (hypot re im))) re)) (sqrt (fma (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (fabs (cbrt (hypot re im))) re))) 2.0))))>)
12.005 * * * [regime]: Found split indices: #<option (#s(si 0 255))>
12.006 * [simplify]: Simplifying:
  (* 0.5 (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
12.006 * * [simplify]: Extracting # 0 : cost  0
12.006 * * [simplify]: Extracting # 1 : cost  0
12.006 * * [simplify]: Extracting # 2 : cost  0
12.006 * * [simplify]: Extracting # 3 : cost  0
12.006 * * [simplify]: Extracting # 4 : cost  0
12.006 * * [simplify]: Extracting # 5 : cost  0
12.006 * * [simplify]: Extracting # 6 : cost  0
12.006 * * [simplify]: Extracting # 7 : cost  0
12.006 * * [simplify]: iteration  0 :  10  enodes  (cost  11 )
12.008 * * [simplify]: Extracting # 0 : cost  0
12.008 * * [simplify]: iteration  1 :  13  enodes  (cost  11 )
12.009 * * [simplify]: Extracting # 0 : cost  0
12.009 * * [simplify]: iteration done:  13  enodes  (cost  11 )
12.010 * [simplify]: Simplified to:
  (* 0.5 (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
15.395 * [regime-testing]: Baseline error score: 13.686181911942864
15.399 * [regime-testing]: Oracle error score: 13.117049172320158
15.408 * [regime-testing]: End program error score: 13.686181911942864
15.523 * [regime-testing]: Target error score: 33.68274957252073