79.409 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.040 * * * [progress]: [2/2] Setting up program.
0.048 * [progress]: [Phase 2 of 3] Improving.
0.048 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
0.048 * * [simplify]: iteration 0: 12 enodes
0.052 * * [simplify]: iteration 1: 22 enodes
0.057 * * [simplify]: iteration 2: 24 enodes
0.063 * * [simplify]: iteration complete: 24 enodes
0.063 * * [simplify]: Extracting #0: cost 1 inf + 0
0.063 * * [simplify]: Extracting #1: cost 3 inf + 0
0.063 * * [simplify]: Extracting #2: cost 3 inf + 1
0.063 * * [simplify]: Extracting #3: cost 7 inf + 1
0.063 * * [simplify]: Extracting #4: cost 8 inf + 2
0.063 * * [simplify]: Extracting #5: cost 8 inf + 3
0.063 * * [simplify]: Extracting #6: cost 9 inf + 45
0.063 * * [simplify]: Extracting #7: cost 9 inf + 86
0.063 * * [simplify]: Extracting #8: cost 7 inf + 128
0.064 * * [simplify]: Extracting #9: cost 5 inf + 412
0.064 * * [simplify]: Extracting #10: cost 2 inf + 1060
0.065 * * [simplify]: Extracting #11: cost 0 inf + 1667
0.065 * [simplify]: Simplified to:
  (* 0.5 (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2.0)))
0.066 * * [progress]: iteration 1 / 4
0.066 * * * [progress]: picking best candidate
0.074 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))>
0.075 * * * [progress]: localizing error
0.097 * * * [progress]: generating rewritten candidates
0.097 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1)
0.117 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2)
0.140 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
0.158 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1)
0.164 * * * [progress]: generating series expansions
0.164 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1)
0.164 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
0.164 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
0.164 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.164 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.164 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.164 * [taylor]: Taking taylor expansion of im in im
0.164 * [backup-simplify]: Simplify 0 into 0
0.164 * [backup-simplify]: Simplify 1 into 1
0.164 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.165 * [taylor]: Taking taylor expansion of re in im
0.165 * [backup-simplify]: Simplify re into re
0.165 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.165 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.165 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.165 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.165 * [backup-simplify]: Simplify (+ 0 0) into 0
0.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.166 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.166 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.166 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.166 * [taylor]: Taking taylor expansion of im in re
0.166 * [backup-simplify]: Simplify im into im
0.166 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.166 * [taylor]: Taking taylor expansion of re in re
0.166 * [backup-simplify]: Simplify 0 into 0
0.166 * [backup-simplify]: Simplify 1 into 1
0.166 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.166 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.166 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.166 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.166 * [backup-simplify]: Simplify (+ 0 0) into 0
0.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.166 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.166 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.166 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.166 * [taylor]: Taking taylor expansion of im in re
0.167 * [backup-simplify]: Simplify im into im
0.167 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.167 * [taylor]: Taking taylor expansion of re in re
0.167 * [backup-simplify]: Simplify 0 into 0
0.167 * [backup-simplify]: Simplify 1 into 1
0.167 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.167 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.167 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.167 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.168 * [backup-simplify]: Simplify (+ 0 0) into 0
0.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.168 * [taylor]: Taking taylor expansion of im in im
0.168 * [backup-simplify]: Simplify 0 into 0
0.168 * [backup-simplify]: Simplify 1 into 1
0.168 * [backup-simplify]: Simplify 0 into 0
0.168 * [taylor]: Taking taylor expansion of 0 in im
0.168 * [backup-simplify]: Simplify 0 into 0
0.168 * [backup-simplify]: Simplify 0 into 0
0.168 * [backup-simplify]: Simplify 1 into 1
0.169 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.169 * [backup-simplify]: Simplify (* 1 1) into 1
0.169 * [backup-simplify]: Simplify (+ 0 1) into 1
0.170 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.170 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.170 * [taylor]: Taking taylor expansion of 1/2 in im
0.170 * [backup-simplify]: Simplify 1/2 into 1/2
0.170 * [taylor]: Taking taylor expansion of im in im
0.171 * [backup-simplify]: Simplify 0 into 0
0.171 * [backup-simplify]: Simplify 1 into 1
0.171 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.172 * [backup-simplify]: Simplify 0 into 0
0.172 * [backup-simplify]: Simplify 0 into 0
0.172 * [backup-simplify]: Simplify 0 into 0
0.173 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.174 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.174 * [backup-simplify]: Simplify (+ 0 0) into 0
0.174 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.174 * [taylor]: Taking taylor expansion of 0 in im
0.174 * [backup-simplify]: Simplify 0 into 0
0.174 * [backup-simplify]: Simplify 0 into 0
0.175 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.175 * [backup-simplify]: Simplify 0 into 0
0.175 * [backup-simplify]: Simplify 0 into 0
0.175 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.175 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
0.175 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
0.175 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.175 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.175 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.175 * [taylor]: Taking taylor expansion of re in im
0.175 * [backup-simplify]: Simplify re into re
0.175 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.176 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.176 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.176 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.176 * [taylor]: Taking taylor expansion of im in im
0.176 * [backup-simplify]: Simplify 0 into 0
0.176 * [backup-simplify]: Simplify 1 into 1
0.176 * [backup-simplify]: Simplify (* 1 1) into 1
0.176 * [backup-simplify]: Simplify (/ 1 1) into 1
0.176 * [backup-simplify]: Simplify (+ 0 1) into 1
0.177 * [backup-simplify]: Simplify (sqrt 1) into 1
0.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.178 * [backup-simplify]: Simplify (+ 0 0) into 0
0.178 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.178 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.178 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.178 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.178 * [taylor]: Taking taylor expansion of re in re
0.178 * [backup-simplify]: Simplify 0 into 0
0.178 * [backup-simplify]: Simplify 1 into 1
0.178 * [backup-simplify]: Simplify (* 1 1) into 1
0.179 * [backup-simplify]: Simplify (/ 1 1) into 1
0.179 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.179 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.179 * [taylor]: Taking taylor expansion of im in re
0.179 * [backup-simplify]: Simplify im into im
0.179 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.179 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.179 * [backup-simplify]: Simplify (+ 1 0) into 1
0.180 * [backup-simplify]: Simplify (sqrt 1) into 1
0.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.181 * [backup-simplify]: Simplify (+ 0 0) into 0
0.181 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.181 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.181 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.181 * [taylor]: Taking taylor expansion of (pow re 2) 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
0.182 * [backup-simplify]: Simplify (/ 1 1) into 1
0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.182 * [taylor]: Taking taylor expansion of (pow im 2) 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 (* im im) into (pow im 2)
0.182 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.182 * [backup-simplify]: Simplify (+ 1 0) into 1
0.182 * [backup-simplify]: Simplify (sqrt 1) into 1
0.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.187 * [backup-simplify]: Simplify (+ 0 0) into 0
0.187 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.187 * [taylor]: Taking taylor expansion of 1 in im
0.187 * [backup-simplify]: Simplify 1 into 1
0.187 * [taylor]: Taking taylor expansion of 0 in im
0.187 * [backup-simplify]: Simplify 0 into 0
0.187 * [backup-simplify]: Simplify 1 into 1
0.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.188 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.189 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.189 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.189 * [taylor]: Taking taylor expansion of 1/2 in im
0.189 * [backup-simplify]: Simplify 1/2 into 1/2
0.189 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.189 * [taylor]: Taking taylor expansion of im in im
0.189 * [backup-simplify]: Simplify 0 into 0
0.189 * [backup-simplify]: Simplify 1 into 1
0.190 * [backup-simplify]: Simplify (* 1 1) into 1
0.190 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.191 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.191 * [backup-simplify]: Simplify 0 into 0
0.191 * [backup-simplify]: Simplify 0 into 0
0.191 * [backup-simplify]: Simplify 0 into 0
0.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.192 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.193 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.193 * [backup-simplify]: Simplify (+ 0 0) into 0
0.193 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.193 * [taylor]: Taking taylor expansion of 0 in im
0.193 * [backup-simplify]: Simplify 0 into 0
0.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.194 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.194 * [backup-simplify]: Simplify 0 into 0
0.194 * [backup-simplify]: Simplify 0 into 0
0.194 * [backup-simplify]: Simplify 0 into 0
0.194 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.195 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
0.195 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
0.195 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.195 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.195 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.195 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.195 * [taylor]: Taking taylor expansion of re in im
0.195 * [backup-simplify]: Simplify re into re
0.195 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.195 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.195 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.195 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.195 * [taylor]: Taking taylor expansion of im in im
0.195 * [backup-simplify]: Simplify 0 into 0
0.195 * [backup-simplify]: Simplify 1 into 1
0.195 * [backup-simplify]: Simplify (* 1 1) into 1
0.196 * [backup-simplify]: Simplify (/ 1 1) into 1
0.196 * [backup-simplify]: Simplify (+ 0 1) into 1
0.196 * [backup-simplify]: Simplify (sqrt 1) into 1
0.196 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.197 * [backup-simplify]: Simplify (+ 0 0) into 0
0.198 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.198 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.198 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.198 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.198 * [taylor]: Taking taylor expansion of re in re
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 * [backup-simplify]: Simplify (/ 1 1) into 1
0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.198 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.198 * [taylor]: Taking taylor expansion of im in re
0.198 * [backup-simplify]: Simplify im into im
0.198 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.198 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.199 * [backup-simplify]: Simplify (+ 1 0) into 1
0.199 * [backup-simplify]: Simplify (sqrt 1) into 1
0.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.200 * [backup-simplify]: Simplify (+ 0 0) into 0
0.200 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.200 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.200 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.200 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.200 * [taylor]: Taking taylor expansion of re in re
0.201 * [backup-simplify]: Simplify 0 into 0
0.201 * [backup-simplify]: Simplify 1 into 1
0.201 * [backup-simplify]: Simplify (* 1 1) into 1
0.201 * [backup-simplify]: Simplify (/ 1 1) into 1
0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.201 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.201 * [taylor]: Taking taylor expansion of im in re
0.201 * [backup-simplify]: Simplify im into im
0.201 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.201 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.202 * [backup-simplify]: Simplify (+ 1 0) into 1
0.202 * [backup-simplify]: Simplify (sqrt 1) into 1
0.202 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.203 * [backup-simplify]: Simplify (+ 0 0) into 0
0.203 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.203 * [taylor]: Taking taylor expansion of 1 in im
0.203 * [backup-simplify]: Simplify 1 into 1
0.203 * [taylor]: Taking taylor expansion of 0 in im
0.203 * [backup-simplify]: Simplify 0 into 0
0.203 * [backup-simplify]: Simplify 1 into 1
0.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.205 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.205 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.205 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.205 * [taylor]: Taking taylor expansion of 1/2 in im
0.205 * [backup-simplify]: Simplify 1/2 into 1/2
0.205 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.205 * [taylor]: Taking taylor expansion of im in im
0.205 * [backup-simplify]: Simplify 0 into 0
0.206 * [backup-simplify]: Simplify 1 into 1
0.206 * [backup-simplify]: Simplify (* 1 1) into 1
0.206 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.207 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.207 * [backup-simplify]: Simplify 0 into 0
0.207 * [backup-simplify]: Simplify 0 into 0
0.207 * [backup-simplify]: Simplify 0 into 0
0.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.208 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.208 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.209 * [backup-simplify]: Simplify (+ 0 0) into 0
0.209 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.209 * [taylor]: Taking taylor expansion of 0 in im
0.209 * [backup-simplify]: Simplify 0 into 0
0.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.210 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.210 * [backup-simplify]: Simplify 0 into 0
0.210 * [backup-simplify]: Simplify 0 into 0
0.210 * [backup-simplify]: Simplify 0 into 0
0.210 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.210 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2)
0.211 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2))))
0.211 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0
0.211 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
0.211 * [taylor]: Taking taylor expansion of re in im
0.211 * [backup-simplify]: Simplify re into re
0.211 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.211 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.211 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.211 * [taylor]: Taking taylor expansion of im in im
0.211 * [backup-simplify]: Simplify 0 into 0
0.211 * [backup-simplify]: Simplify 1 into 1
0.211 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.211 * [taylor]: Taking taylor expansion of re in im
0.211 * [backup-simplify]: Simplify re into re
0.211 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.211 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.211 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.211 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.211 * [backup-simplify]: Simplify (+ 0 0) into 0
0.211 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.211 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.211 * [taylor]: Taking taylor expansion of re in re
0.211 * [backup-simplify]: Simplify 0 into 0
0.211 * [backup-simplify]: Simplify 1 into 1
0.211 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.212 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.212 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.212 * [taylor]: Taking taylor expansion of im in re
0.212 * [backup-simplify]: Simplify im into im
0.212 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.212 * [taylor]: Taking taylor expansion of re in re
0.212 * [backup-simplify]: Simplify 0 into 0
0.212 * [backup-simplify]: Simplify 1 into 1
0.212 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.212 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.212 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.212 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.212 * [backup-simplify]: Simplify (+ 0 0) into 0
0.212 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.212 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.212 * [taylor]: Taking taylor expansion of re in re
0.212 * [backup-simplify]: Simplify 0 into 0
0.212 * [backup-simplify]: Simplify 1 into 1
0.212 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.212 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.212 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.212 * [taylor]: Taking taylor expansion of im in re
0.212 * [backup-simplify]: Simplify im into im
0.212 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.212 * [taylor]: Taking taylor expansion of re in re
0.212 * [backup-simplify]: Simplify 0 into 0
0.212 * [backup-simplify]: Simplify 1 into 1
0.212 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.213 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.213 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.213 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.213 * [backup-simplify]: Simplify (+ 0 0) into 0
0.213 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.213 * [backup-simplify]: Simplify (+ 0 im) into im
0.213 * [taylor]: Taking taylor expansion of im in im
0.213 * [backup-simplify]: Simplify 0 into 0
0.213 * [backup-simplify]: Simplify 1 into 1
0.213 * [backup-simplify]: Simplify 0 into 0
0.213 * [backup-simplify]: Simplify (+ 1 0) into 1
0.213 * [taylor]: Taking taylor expansion of 1 in im
0.213 * [backup-simplify]: Simplify 1 into 1
0.213 * [backup-simplify]: Simplify 1 into 1
0.214 * [backup-simplify]: Simplify 1 into 1
0.214 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.214 * [backup-simplify]: Simplify (* 1 1) into 1
0.214 * [backup-simplify]: Simplify (+ 0 1) into 1
0.215 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.215 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.215 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
0.215 * [taylor]: Taking taylor expansion of 1/2 in im
0.215 * [backup-simplify]: Simplify 1/2 into 1/2
0.215 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.215 * [taylor]: Taking taylor expansion of im in im
0.215 * [backup-simplify]: Simplify 0 into 0
0.215 * [backup-simplify]: Simplify 1 into 1
0.215 * [backup-simplify]: Simplify (/ 1 1) into 1
0.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.216 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.216 * [backup-simplify]: Simplify 0 into 0
0.216 * [backup-simplify]: Simplify 0 into 0
0.216 * [backup-simplify]: Simplify 0 into 0
0.217 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.217 * [backup-simplify]: Simplify (+ 0 0) into 0
0.217 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.218 * [backup-simplify]: Simplify (+ 0 0) into 0
0.218 * [taylor]: Taking taylor expansion of 0 in im
0.218 * [backup-simplify]: Simplify 0 into 0
0.218 * [backup-simplify]: Simplify 0 into 0
0.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.219 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.219 * [backup-simplify]: Simplify 0 into 0
0.219 * [backup-simplify]: Simplify 0 into 0
0.219 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
0.219 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))
0.219 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
0.219 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
0.219 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.219 * [taylor]: Taking taylor expansion of re in im
0.219 * [backup-simplify]: Simplify re into re
0.219 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.219 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.219 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.219 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.219 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.219 * [taylor]: Taking taylor expansion of re in im
0.219 * [backup-simplify]: Simplify re into re
0.219 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.220 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.220 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.220 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.220 * [taylor]: Taking taylor expansion of im in im
0.220 * [backup-simplify]: Simplify 0 into 0
0.220 * [backup-simplify]: Simplify 1 into 1
0.220 * [backup-simplify]: Simplify (* 1 1) into 1
0.220 * [backup-simplify]: Simplify (/ 1 1) into 1
0.220 * [backup-simplify]: Simplify (+ 0 1) into 1
0.221 * [backup-simplify]: Simplify (sqrt 1) into 1
0.221 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.222 * [backup-simplify]: Simplify (+ 0 0) into 0
0.222 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.222 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.222 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.222 * [taylor]: Taking taylor expansion of re in re
0.222 * [backup-simplify]: Simplify 0 into 0
0.222 * [backup-simplify]: Simplify 1 into 1
0.222 * [backup-simplify]: Simplify (/ 1 1) into 1
0.222 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.222 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.222 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.222 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.222 * [taylor]: Taking taylor expansion of re in re
0.222 * [backup-simplify]: Simplify 0 into 0
0.222 * [backup-simplify]: Simplify 1 into 1
0.223 * [backup-simplify]: Simplify (* 1 1) into 1
0.223 * [backup-simplify]: Simplify (/ 1 1) into 1
0.223 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.223 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.223 * [taylor]: Taking taylor expansion of im in re
0.223 * [backup-simplify]: Simplify im into im
0.223 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.223 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.223 * [backup-simplify]: Simplify (+ 1 0) into 1
0.224 * [backup-simplify]: Simplify (sqrt 1) into 1
0.224 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.225 * [backup-simplify]: Simplify (+ 0 0) into 0
0.225 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.225 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.225 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.225 * [taylor]: Taking taylor expansion of re in re
0.225 * [backup-simplify]: Simplify 0 into 0
0.225 * [backup-simplify]: Simplify 1 into 1
0.225 * [backup-simplify]: Simplify (/ 1 1) into 1
0.225 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.225 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.226 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.226 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.226 * [taylor]: Taking taylor expansion of re in re
0.226 * [backup-simplify]: Simplify 0 into 0
0.226 * [backup-simplify]: Simplify 1 into 1
0.226 * [backup-simplify]: Simplify (* 1 1) into 1
0.226 * [backup-simplify]: Simplify (/ 1 1) into 1
0.226 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.226 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.226 * [taylor]: Taking taylor expansion of im in re
0.226 * [backup-simplify]: Simplify im into im
0.226 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.226 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.227 * [backup-simplify]: Simplify (+ 1 0) into 1
0.227 * [backup-simplify]: Simplify (sqrt 1) into 1
0.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.228 * [backup-simplify]: Simplify (+ 0 0) into 0
0.228 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.228 * [backup-simplify]: Simplify (+ 1 1) into 2
0.229 * [taylor]: Taking taylor expansion of 2 in im
0.229 * [backup-simplify]: Simplify 2 into 2
0.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.229 * [backup-simplify]: Simplify (+ 0 0) into 0
0.229 * [taylor]: Taking taylor expansion of 0 in im
0.229 * [backup-simplify]: Simplify 0 into 0
0.230 * [backup-simplify]: Simplify 2 into 2
0.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.231 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.232 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.232 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.232 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.232 * [taylor]: Taking taylor expansion of 1/2 in im
0.232 * [backup-simplify]: Simplify 1/2 into 1/2
0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.232 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.232 * [taylor]: Taking taylor expansion of im in im
0.232 * [backup-simplify]: Simplify 0 into 0
0.232 * [backup-simplify]: Simplify 1 into 1
0.233 * [backup-simplify]: Simplify (* 1 1) into 1
0.233 * [backup-simplify]: Simplify (/ 1 1) into 1
0.233 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.234 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.234 * [backup-simplify]: Simplify 0 into 0
0.234 * [backup-simplify]: Simplify 0 into 0
0.234 * [backup-simplify]: Simplify 0 into 0
0.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.237 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.238 * [backup-simplify]: Simplify (+ 0 0) into 0
0.238 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.239 * [backup-simplify]: Simplify (+ 0 0) into 0
0.239 * [taylor]: Taking taylor expansion of 0 in im
0.239 * [backup-simplify]: Simplify 0 into 0
0.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.241 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.242 * [backup-simplify]: Simplify 0 into 0
0.242 * [backup-simplify]: Simplify 0 into 0
0.242 * [backup-simplify]: Simplify 0 into 0
0.242 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
0.242 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))
0.242 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
0.242 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
0.242 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.242 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.242 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.242 * [taylor]: Taking taylor expansion of re in im
0.242 * [backup-simplify]: Simplify re into re
0.242 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.243 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.243 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.243 * [taylor]: Taking taylor expansion of im in im
0.243 * [backup-simplify]: Simplify 0 into 0
0.243 * [backup-simplify]: Simplify 1 into 1
0.243 * [backup-simplify]: Simplify (* 1 1) into 1
0.244 * [backup-simplify]: Simplify (/ 1 1) into 1
0.244 * [backup-simplify]: Simplify (+ 0 1) into 1
0.244 * [backup-simplify]: Simplify (sqrt 1) into 1
0.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.246 * [backup-simplify]: Simplify (+ 0 0) into 0
0.247 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.247 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.247 * [taylor]: Taking taylor expansion of re in im
0.247 * [backup-simplify]: Simplify re into re
0.247 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.247 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.247 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.247 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.247 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.247 * [taylor]: Taking taylor expansion of re in re
0.247 * [backup-simplify]: Simplify 0 into 0
0.247 * [backup-simplify]: Simplify 1 into 1
0.248 * [backup-simplify]: Simplify (* 1 1) into 1
0.248 * [backup-simplify]: Simplify (/ 1 1) into 1
0.248 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.248 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.248 * [taylor]: Taking taylor expansion of im in re
0.248 * [backup-simplify]: Simplify im into im
0.248 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.248 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.249 * [backup-simplify]: Simplify (+ 1 0) into 1
0.249 * [backup-simplify]: Simplify (sqrt 1) into 1
0.250 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.251 * [backup-simplify]: Simplify (+ 0 0) into 0
0.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.251 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.251 * [taylor]: Taking taylor expansion of re in re
0.251 * [backup-simplify]: Simplify 0 into 0
0.251 * [backup-simplify]: Simplify 1 into 1
0.251 * [backup-simplify]: Simplify (/ 1 1) into 1
0.251 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.251 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.251 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.251 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.251 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.251 * [taylor]: Taking taylor expansion of re in re
0.251 * [backup-simplify]: Simplify 0 into 0
0.251 * [backup-simplify]: Simplify 1 into 1
0.252 * [backup-simplify]: Simplify (* 1 1) into 1
0.252 * [backup-simplify]: Simplify (/ 1 1) into 1
0.252 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.252 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.252 * [taylor]: Taking taylor expansion of im in re
0.252 * [backup-simplify]: Simplify im into im
0.252 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.252 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.252 * [backup-simplify]: Simplify (+ 1 0) into 1
0.253 * [backup-simplify]: Simplify (sqrt 1) into 1
0.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.254 * [backup-simplify]: Simplify (+ 0 0) into 0
0.254 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.254 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.254 * [taylor]: Taking taylor expansion of re in re
0.254 * [backup-simplify]: Simplify 0 into 0
0.254 * [backup-simplify]: Simplify 1 into 1
0.254 * [backup-simplify]: Simplify (/ 1 1) into 1
0.255 * [backup-simplify]: Simplify (- 1) into -1
0.255 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.255 * [taylor]: Taking taylor expansion of 0 in im
0.255 * [backup-simplify]: Simplify 0 into 0
0.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.256 * [backup-simplify]: Simplify (- 0) into 0
0.256 * [backup-simplify]: Simplify (+ 0 0) into 0
0.256 * [taylor]: Taking taylor expansion of 0 in im
0.256 * [backup-simplify]: Simplify 0 into 0
0.256 * [backup-simplify]: Simplify 0 into 0
0.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.257 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.258 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.259 * [backup-simplify]: Simplify (- 0) into 0
0.259 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.259 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.259 * [taylor]: Taking taylor expansion of 1/2 in im
0.259 * [backup-simplify]: Simplify 1/2 into 1/2
0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.259 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.259 * [taylor]: Taking taylor expansion of im in im
0.259 * [backup-simplify]: Simplify 0 into 0
0.259 * [backup-simplify]: Simplify 1 into 1
0.259 * [backup-simplify]: Simplify (* 1 1) into 1
0.259 * [backup-simplify]: Simplify (/ 1 1) into 1
0.260 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.261 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.261 * [backup-simplify]: Simplify 0 into 0
0.261 * [backup-simplify]: Simplify 0 into 0
0.261 * [backup-simplify]: Simplify 0 into 0
0.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.262 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.262 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.262 * [backup-simplify]: Simplify (+ 0 0) into 0
0.263 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.264 * [backup-simplify]: Simplify (- 0) into 0
0.264 * [backup-simplify]: Simplify (+ 0 0) into 0
0.264 * [taylor]: Taking taylor expansion of 0 in im
0.264 * [backup-simplify]: Simplify 0 into 0
0.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.265 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.265 * [backup-simplify]: Simplify 0 into 0
0.265 * [backup-simplify]: Simplify 0 into 0
0.265 * [backup-simplify]: Simplify 0 into 0
0.266 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
0.266 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) into (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))))
0.266 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in (re im) around 0
0.266 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in im
0.266 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.266 * [taylor]: Taking taylor expansion of 2.0 in im
0.266 * [backup-simplify]: Simplify 2.0 into 2.0
0.266 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.266 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.267 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im
0.267 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
0.267 * [taylor]: Taking taylor expansion of re in im
0.267 * [backup-simplify]: Simplify re into re
0.267 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.267 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.267 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.267 * [taylor]: Taking taylor expansion of im in im
0.267 * [backup-simplify]: Simplify 0 into 0
0.267 * [backup-simplify]: Simplify 1 into 1
0.267 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.267 * [taylor]: Taking taylor expansion of re in im
0.267 * [backup-simplify]: Simplify re into re
0.267 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.267 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.267 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.267 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.267 * [backup-simplify]: Simplify (+ 0 0) into 0
0.267 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.267 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
0.267 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re))
0.268 * [backup-simplify]: Simplify (+ 0 0) into 0
0.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
0.268 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re
0.268 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.268 * [taylor]: Taking taylor expansion of 2.0 in re
0.268 * [backup-simplify]: Simplify 2.0 into 2.0
0.268 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.269 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re
0.269 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.269 * [taylor]: Taking taylor expansion of re in re
0.269 * [backup-simplify]: Simplify 0 into 0
0.269 * [backup-simplify]: Simplify 1 into 1
0.269 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.269 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.269 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.269 * [taylor]: Taking taylor expansion of im in re
0.269 * [backup-simplify]: Simplify im into im
0.269 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.269 * [taylor]: Taking taylor expansion of re in re
0.269 * [backup-simplify]: Simplify 0 into 0
0.269 * [backup-simplify]: Simplify 1 into 1
0.269 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.269 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.269 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.269 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.269 * [backup-simplify]: Simplify (+ 0 0) into 0
0.269 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.269 * [backup-simplify]: Simplify (+ 0 im) into im
0.269 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.270 * [backup-simplify]: Simplify (+ 1 0) into 1
0.270 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.270 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re
0.270 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.270 * [taylor]: Taking taylor expansion of 2.0 in re
0.270 * [backup-simplify]: Simplify 2.0 into 2.0
0.270 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.270 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.271 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re
0.271 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.271 * [taylor]: Taking taylor expansion of re in re
0.271 * [backup-simplify]: Simplify 0 into 0
0.271 * [backup-simplify]: Simplify 1 into 1
0.271 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.271 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.271 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.271 * [taylor]: Taking taylor expansion of im in re
0.271 * [backup-simplify]: Simplify im into im
0.271 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.271 * [taylor]: Taking taylor expansion of re in re
0.271 * [backup-simplify]: Simplify 0 into 0
0.271 * [backup-simplify]: Simplify 1 into 1
0.271 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.271 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.271 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.271 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.271 * [backup-simplify]: Simplify (+ 0 0) into 0
0.271 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.271 * [backup-simplify]: Simplify (+ 0 im) into im
0.271 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.272 * [backup-simplify]: Simplify (+ 1 0) into 1
0.272 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.272 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
0.272 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
0.272 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.272 * [taylor]: Taking taylor expansion of 2.0 in im
0.272 * [backup-simplify]: Simplify 2.0 into 2.0
0.272 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.273 * [taylor]: Taking taylor expansion of (sqrt im) in im
0.273 * [taylor]: Taking taylor expansion of im in im
0.273 * [backup-simplify]: Simplify 0 into 0
0.273 * [backup-simplify]: Simplify 1 into 1
0.273 * [backup-simplify]: Simplify (sqrt 0) into 0
0.274 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.275 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.275 * [backup-simplify]: Simplify 0 into 0
0.275 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
0.275 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
0.275 * [taylor]: Taking taylor expansion of 1/2 in im
0.275 * [backup-simplify]: Simplify 1/2 into 1/2
0.275 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
0.275 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.275 * [taylor]: Taking taylor expansion of 2.0 in im
0.275 * [backup-simplify]: Simplify 2.0 into 2.0
0.275 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.276 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.276 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
0.276 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.276 * [taylor]: Taking taylor expansion of im in im
0.276 * [backup-simplify]: Simplify 0 into 0
0.276 * [backup-simplify]: Simplify 1 into 1
0.276 * [backup-simplify]: Simplify (/ 1 1) into 1
0.276 * [backup-simplify]: Simplify (sqrt 0) into 0
0.277 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.278 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.279 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.283 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.290 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.292 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.294 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.294 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.295 * [backup-simplify]: Simplify (* 1 1) into 1
0.295 * [backup-simplify]: Simplify (+ 0 1) into 1
0.296 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.296 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.297 * [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))))
0.298 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.298 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/8 (sqrt (/ 1 (pow im 3))))) (+ (* 0 (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im)))) into (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))))
0.299 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
0.299 * [taylor]: Taking taylor expansion of 1/8 in im
0.299 * [backup-simplify]: Simplify 1/8 into 1/8
0.299 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
0.299 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.299 * [taylor]: Taking taylor expansion of 2.0 in im
0.299 * [backup-simplify]: Simplify 2.0 into 2.0
0.299 * [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 (/ 1 (pow im 3))) in im
0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
0.300 * [taylor]: Taking taylor expansion of (pow im 3) in im
0.300 * [taylor]: Taking taylor expansion of im in im
0.300 * [backup-simplify]: Simplify 0 into 0
0.300 * [backup-simplify]: Simplify 1 into 1
0.300 * [backup-simplify]: Simplify (* 1 1) into 1
0.301 * [backup-simplify]: Simplify (* 1 1) into 1
0.301 * [backup-simplify]: Simplify (/ 1 1) into 1
0.301 * [backup-simplify]: Simplify (sqrt 0) into 0
0.303 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.308 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.309 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.311 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.313 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.314 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.319 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.320 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.325 * [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)))))))
0.326 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))
0.326 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in (re im) around 0
0.326 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im
0.326 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.326 * [taylor]: Taking taylor expansion of 2.0 in im
0.326 * [backup-simplify]: Simplify 2.0 into 2.0
0.326 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.327 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.327 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
0.327 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
0.327 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.327 * [taylor]: Taking taylor expansion of re in im
0.327 * [backup-simplify]: Simplify re into re
0.327 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.327 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.327 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.327 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.327 * [taylor]: Taking taylor expansion of re in im
0.327 * [backup-simplify]: Simplify re into re
0.327 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.328 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.328 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.328 * [taylor]: Taking taylor expansion of im in im
0.328 * [backup-simplify]: Simplify 0 into 0
0.328 * [backup-simplify]: Simplify 1 into 1
0.328 * [backup-simplify]: Simplify (* 1 1) into 1
0.328 * [backup-simplify]: Simplify (/ 1 1) into 1
0.329 * [backup-simplify]: Simplify (+ 0 1) into 1
0.329 * [backup-simplify]: Simplify (sqrt 1) into 1
0.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.331 * [backup-simplify]: Simplify (+ 0 0) into 0
0.332 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.332 * [backup-simplify]: Simplify (+ 0 1) into 1
0.333 * [backup-simplify]: Simplify (sqrt 0) into 0
0.334 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.334 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re
0.334 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.334 * [taylor]: Taking taylor expansion of 2.0 in re
0.334 * [backup-simplify]: Simplify 2.0 into 2.0
0.335 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.335 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.335 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
0.335 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.335 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.335 * [taylor]: Taking taylor expansion of re in re
0.336 * [backup-simplify]: Simplify 0 into 0
0.336 * [backup-simplify]: Simplify 1 into 1
0.336 * [backup-simplify]: Simplify (/ 1 1) into 1
0.336 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.336 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.336 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.336 * [taylor]: Taking taylor expansion of re in re
0.336 * [backup-simplify]: Simplify 0 into 0
0.336 * [backup-simplify]: Simplify 1 into 1
0.336 * [backup-simplify]: Simplify (* 1 1) into 1
0.337 * [backup-simplify]: Simplify (/ 1 1) into 1
0.337 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.337 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.337 * [taylor]: Taking taylor expansion of im in re
0.337 * [backup-simplify]: Simplify im into im
0.337 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.337 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.338 * [backup-simplify]: Simplify (+ 1 0) into 1
0.338 * [backup-simplify]: Simplify (sqrt 1) into 1
0.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.340 * [backup-simplify]: Simplify (+ 0 0) into 0
0.341 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.341 * [backup-simplify]: Simplify (+ 1 1) into 2
0.341 * [backup-simplify]: Simplify (sqrt 0) into 0
0.343 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.343 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re
0.343 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.343 * [taylor]: Taking taylor expansion of 2.0 in re
0.343 * [backup-simplify]: Simplify 2.0 into 2.0
0.343 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.344 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.344 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.344 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.344 * [taylor]: Taking taylor expansion of re in re
0.344 * [backup-simplify]: Simplify 0 into 0
0.344 * [backup-simplify]: Simplify 1 into 1
0.344 * [backup-simplify]: Simplify (/ 1 1) into 1
0.344 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.345 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.345 * [taylor]: Taking taylor expansion of re in re
0.345 * [backup-simplify]: Simplify 0 into 0
0.345 * [backup-simplify]: Simplify 1 into 1
0.345 * [backup-simplify]: Simplify (* 1 1) into 1
0.345 * [backup-simplify]: Simplify (/ 1 1) into 1
0.345 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.345 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.345 * [taylor]: Taking taylor expansion of im in re
0.345 * [backup-simplify]: Simplify im into im
0.346 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.346 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.346 * [backup-simplify]: Simplify (+ 1 0) into 1
0.347 * [backup-simplify]: Simplify (sqrt 1) into 1
0.347 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.348 * [backup-simplify]: Simplify (+ 0 0) into 0
0.349 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.349 * [backup-simplify]: Simplify (+ 1 1) into 2
0.350 * [backup-simplify]: Simplify (sqrt 0) into 0
0.351 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.352 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.352 * [taylor]: Taking taylor expansion of 0 in im
0.352 * [backup-simplify]: Simplify 0 into 0
0.354 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.354 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.354 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.354 * [taylor]: Taking taylor expansion of +nan.0 in im
0.354 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.354 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.354 * [taylor]: Taking taylor expansion of 2.0 in im
0.354 * [backup-simplify]: Simplify 2.0 into 2.0
0.354 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.355 * [backup-simplify]: Simplify 0 into 0
0.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.356 * [backup-simplify]: Simplify (+ 0 0) into 0
0.357 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.358 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.360 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.360 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.360 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.360 * [taylor]: Taking taylor expansion of +nan.0 in im
0.360 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.360 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.360 * [taylor]: Taking taylor expansion of 2.0 in im
0.360 * [backup-simplify]: Simplify 2.0 into 2.0
0.360 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.360 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.361 * [backup-simplify]: Simplify (* +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)))
0.363 * [backup-simplify]: Simplify 0 into 0
0.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.365 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.365 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.365 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.367 * [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))
0.367 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.368 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))))
0.368 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
0.368 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
0.368 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.368 * [taylor]: Taking taylor expansion of +nan.0 in im
0.368 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.368 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.368 * [taylor]: Taking taylor expansion of 2.0 in im
0.368 * [backup-simplify]: Simplify 2.0 into 2.0
0.369 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.369 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.369 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.369 * [taylor]: Taking taylor expansion of +nan.0 in im
0.369 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.369 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) 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 (pow im 2) in im
0.370 * [taylor]: Taking taylor expansion of im in im
0.370 * [backup-simplify]: Simplify 0 into 0
0.370 * [backup-simplify]: Simplify 1 into 1
0.370 * [backup-simplify]: Simplify (* 1 1) into 1
0.371 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.372 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.372 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.373 * [backup-simplify]: Simplify (- 0) into 0
0.373 * [backup-simplify]: Simplify (+ 0 0) into 0
0.373 * [backup-simplify]: Simplify (- 0) into 0
0.373 * [backup-simplify]: Simplify 0 into 0
0.374 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.374 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.375 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.376 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.376 * [backup-simplify]: Simplify (- 0) into 0
0.376 * [backup-simplify]: Simplify 0 into 0
0.376 * [backup-simplify]: Simplify 0 into 0
0.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.378 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.378 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.378 * [backup-simplify]: Simplify (+ 0 0) into 0
0.379 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.379 * [backup-simplify]: Simplify (+ 0 0) into 0
0.380 * [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)))
0.381 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.382 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))))
0.382 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
0.382 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
0.382 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.382 * [taylor]: Taking taylor expansion of +nan.0 in im
0.382 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.382 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.382 * [taylor]: Taking taylor expansion of 2.0 in im
0.382 * [backup-simplify]: Simplify 2.0 into 2.0
0.382 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.383 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.383 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.383 * [taylor]: Taking taylor expansion of +nan.0 in im
0.383 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.383 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.383 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.383 * [taylor]: Taking taylor expansion of 2.0 in im
0.383 * [backup-simplify]: Simplify 2.0 into 2.0
0.383 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.384 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.384 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.384 * [taylor]: Taking taylor expansion of im in im
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
0.384 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.385 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.386 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) 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) into 0
0.387 * [backup-simplify]: Simplify 0 into 0
0.388 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.389 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.392 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.393 * [backup-simplify]: Simplify (- 0) into 0
0.394 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
0.397 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.399 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.404 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 re)) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 re))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
0.404 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))
0.404 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in (re im) around 0
0.404 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im
0.404 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.405 * [taylor]: Taking taylor expansion of 2.0 in im
0.405 * [backup-simplify]: Simplify 2.0 into 2.0
0.405 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.406 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im
0.406 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
0.406 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.406 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.406 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.406 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.406 * [taylor]: Taking taylor expansion of re in im
0.406 * [backup-simplify]: Simplify re into re
0.406 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.406 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.406 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.406 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.406 * [taylor]: Taking taylor expansion of im in im
0.406 * [backup-simplify]: Simplify 0 into 0
0.406 * [backup-simplify]: Simplify 1 into 1
0.407 * [backup-simplify]: Simplify (* 1 1) into 1
0.407 * [backup-simplify]: Simplify (/ 1 1) into 1
0.408 * [backup-simplify]: Simplify (+ 0 1) into 1
0.408 * [backup-simplify]: Simplify (sqrt 1) into 1
0.409 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.415 * [backup-simplify]: Simplify (+ 0 0) into 0
0.416 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.416 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.416 * [taylor]: Taking taylor expansion of re in im
0.416 * [backup-simplify]: Simplify re into re
0.416 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.416 * [backup-simplify]: Simplify (+ 1 0) into 1
0.417 * [backup-simplify]: Simplify (sqrt 0) into 0
0.418 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.418 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re
0.418 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.418 * [taylor]: Taking taylor expansion of 2.0 in re
0.418 * [backup-simplify]: Simplify 2.0 into 2.0
0.419 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.419 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
0.419 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.419 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.419 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.419 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.420 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.420 * [taylor]: Taking taylor expansion of re in re
0.420 * [backup-simplify]: Simplify 0 into 0
0.420 * [backup-simplify]: Simplify 1 into 1
0.420 * [backup-simplify]: Simplify (* 1 1) into 1
0.420 * [backup-simplify]: Simplify (/ 1 1) into 1
0.420 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.420 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.420 * [taylor]: Taking taylor expansion of im in re
0.420 * [backup-simplify]: Simplify im into im
0.420 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.421 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.421 * [backup-simplify]: Simplify (+ 1 0) into 1
0.421 * [backup-simplify]: Simplify (sqrt 1) into 1
0.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.423 * [backup-simplify]: Simplify (+ 0 0) into 0
0.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.424 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.424 * [taylor]: Taking taylor expansion of re in re
0.424 * [backup-simplify]: Simplify 0 into 0
0.424 * [backup-simplify]: Simplify 1 into 1
0.424 * [backup-simplify]: Simplify (/ 1 1) into 1
0.425 * [backup-simplify]: Simplify (- 1) into -1
0.425 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.428 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.430 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.431 * [backup-simplify]: Simplify (- 0) into 0
0.432 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.432 * [backup-simplify]: Simplify (sqrt 0) into 0
0.433 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.433 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re
0.433 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.433 * [taylor]: Taking taylor expansion of 2.0 in re
0.433 * [backup-simplify]: Simplify 2.0 into 2.0
0.433 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.434 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.434 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
0.434 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.434 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.434 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.434 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.434 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.434 * [taylor]: Taking taylor expansion of re in re
0.434 * [backup-simplify]: Simplify 0 into 0
0.434 * [backup-simplify]: Simplify 1 into 1
0.435 * [backup-simplify]: Simplify (* 1 1) into 1
0.435 * [backup-simplify]: Simplify (/ 1 1) into 1
0.435 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.435 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.435 * [taylor]: Taking taylor expansion of im in re
0.435 * [backup-simplify]: Simplify im into im
0.435 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.435 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.436 * [backup-simplify]: Simplify (+ 1 0) into 1
0.436 * [backup-simplify]: Simplify (sqrt 1) into 1
0.437 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.438 * [backup-simplify]: Simplify (+ 0 0) into 0
0.439 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.439 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.439 * [taylor]: Taking taylor expansion of re in re
0.439 * [backup-simplify]: Simplify 0 into 0
0.439 * [backup-simplify]: Simplify 1 into 1
0.439 * [backup-simplify]: Simplify (/ 1 1) into 1
0.440 * [backup-simplify]: Simplify (- 1) into -1
0.440 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.441 * [backup-simplify]: Simplify (- 0) into 0
0.441 * [backup-simplify]: Simplify (+ 0 0) into 0
0.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.443 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.444 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.444 * [backup-simplify]: Simplify (- 0) into 0
0.445 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.445 * [backup-simplify]: Simplify (sqrt 0) into 0
0.445 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.446 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.446 * [taylor]: Taking taylor expansion of 0 in im
0.446 * [backup-simplify]: Simplify 0 into 0
0.446 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
0.446 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.446 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.446 * [taylor]: Taking taylor expansion of +nan.0 in im
0.446 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.446 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.446 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.446 * [taylor]: Taking taylor expansion of 2.0 in im
0.446 * [backup-simplify]: Simplify 2.0 into 2.0
0.447 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.447 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.447 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.447 * [taylor]: Taking taylor expansion of im in im
0.447 * [backup-simplify]: Simplify 0 into 0
0.447 * [backup-simplify]: Simplify 1 into 1
0.447 * [backup-simplify]: Simplify (* 1 1) into 1
0.448 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.448 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.449 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.449 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.450 * [backup-simplify]: Simplify (- 0) into 0
0.450 * [backup-simplify]: Simplify 0 into 0
0.450 * [backup-simplify]: Simplify 0 into 0
0.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.451 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.451 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.451 * [backup-simplify]: Simplify (+ 0 0) into 0
0.452 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.452 * [backup-simplify]: Simplify (- 0) into 0
0.453 * [backup-simplify]: Simplify (+ 0 0) into 0
0.453 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
0.454 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.455 * [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))))
0.455 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
0.455 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.455 * [taylor]: Taking taylor expansion of +nan.0 in im
0.455 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.455 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.455 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.455 * [taylor]: Taking taylor expansion of 2.0 in im
0.455 * [backup-simplify]: Simplify 2.0 into 2.0
0.455 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.455 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.455 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.456 * [taylor]: Taking taylor expansion of im in im
0.456 * [backup-simplify]: Simplify 0 into 0
0.456 * [backup-simplify]: Simplify 1 into 1
0.456 * [backup-simplify]: Simplify (* 1 1) into 1
0.456 * [backup-simplify]: Simplify (* 1 1) into 1
0.457 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.457 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.458 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.460 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.461 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.462 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.463 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.463 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.464 * [backup-simplify]: Simplify (- 0) into 0
0.464 * [backup-simplify]: Simplify 0 into 0
0.464 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.466 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.466 * [backup-simplify]: Simplify (- 0) into 0
0.466 * [backup-simplify]: Simplify 0 into 0
0.466 * [backup-simplify]: Simplify 0 into 0
0.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.468 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.468 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.469 * [backup-simplify]: Simplify (+ 0 0) into 0
0.469 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
0.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.470 * [backup-simplify]: Simplify (- 0) into 0
0.470 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
0.471 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))))
0.472 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.472 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))))) (+ (* 0 (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))))
0.473 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
0.473 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
0.473 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.473 * [taylor]: Taking taylor expansion of +nan.0 in im
0.473 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.473 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.473 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.473 * [taylor]: Taking taylor expansion of 2.0 in im
0.473 * [backup-simplify]: Simplify 2.0 into 2.0
0.473 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.473 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.473 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.473 * [taylor]: Taking taylor expansion of im in im
0.473 * [backup-simplify]: Simplify 0 into 0
0.473 * [backup-simplify]: Simplify 1 into 1
0.474 * [backup-simplify]: Simplify (* 1 1) into 1
0.474 * [backup-simplify]: Simplify (* 1 1) into 1
0.474 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.474 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
0.474 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
0.474 * [taylor]: Taking taylor expansion of +nan.0 in im
0.475 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.475 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
0.475 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.475 * [taylor]: Taking taylor expansion of 2.0 in im
0.475 * [backup-simplify]: Simplify 2.0 into 2.0
0.475 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.476 * [taylor]: Taking taylor expansion of (pow im 6) in im
0.476 * [taylor]: Taking taylor expansion of im in im
0.476 * [backup-simplify]: Simplify 0 into 0
0.476 * [backup-simplify]: Simplify 1 into 1
0.476 * [backup-simplify]: Simplify (* 1 1) into 1
0.477 * [backup-simplify]: Simplify (* 1 1) into 1
0.477 * [backup-simplify]: Simplify (* 1 1) into 1
0.478 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.479 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.480 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.482 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.486 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.487 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.489 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.489 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.490 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.491 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.492 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.500 * [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
0.501 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.504 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.505 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
0.505 * [backup-simplify]: Simplify (- 0) into 0
0.505 * [backup-simplify]: Simplify (+ 0 0) into 0
0.506 * [backup-simplify]: Simplify (- 0) into 0
0.506 * [backup-simplify]: Simplify 0 into 0
0.506 * [backup-simplify]: Simplify 0 into 0
0.506 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1)
0.506 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow im 2) (pow re 2))
0.506 * [approximate]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in (re im) around 0
0.506 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.506 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.506 * [taylor]: Taking taylor expansion of im in im
0.506 * [backup-simplify]: Simplify 0 into 0
0.506 * [backup-simplify]: Simplify 1 into 1
0.506 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.506 * [taylor]: Taking taylor expansion of re in im
0.506 * [backup-simplify]: Simplify re into re
0.506 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.506 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.506 * [taylor]: Taking taylor expansion of im in re
0.506 * [backup-simplify]: Simplify im into im
0.506 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.506 * [taylor]: Taking taylor expansion of re in re
0.506 * [backup-simplify]: Simplify 0 into 0
0.506 * [backup-simplify]: Simplify 1 into 1
0.506 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.506 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.506 * [taylor]: Taking taylor expansion of im in re
0.506 * [backup-simplify]: Simplify im into im
0.506 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.506 * [taylor]: Taking taylor expansion of re in re
0.506 * [backup-simplify]: Simplify 0 into 0
0.506 * [backup-simplify]: Simplify 1 into 1
0.506 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.506 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.507 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.507 * [taylor]: Taking taylor expansion of im in im
0.507 * [backup-simplify]: Simplify 0 into 0
0.507 * [backup-simplify]: Simplify 1 into 1
0.507 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.507 * [backup-simplify]: Simplify (+ 0 0) into 0
0.507 * [taylor]: Taking taylor expansion of 0 in im
0.507 * [backup-simplify]: Simplify 0 into 0
0.507 * [backup-simplify]: Simplify 0 into 0
0.507 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.507 * [backup-simplify]: Simplify (* 1 1) into 1
0.508 * [backup-simplify]: Simplify (+ 0 1) into 1
0.508 * [taylor]: Taking taylor expansion of 1 in im
0.508 * [backup-simplify]: Simplify 1 into 1
0.508 * [backup-simplify]: Simplify 1 into 1
0.508 * [backup-simplify]: Simplify 0 into 0
0.508 * [backup-simplify]: Simplify (* 1 1) into 1
0.508 * [backup-simplify]: Simplify 1 into 1
0.509 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.509 * [backup-simplify]: Simplify (+ 0 0) into 0
0.509 * [taylor]: Taking taylor expansion of 0 in im
0.509 * [backup-simplify]: Simplify 0 into 0
0.509 * [backup-simplify]: Simplify 0 into 0
0.509 * [backup-simplify]: Simplify 0 into 0
0.509 * [backup-simplify]: Simplify 0 into 0
0.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.510 * [backup-simplify]: Simplify 0 into 0
0.510 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0
0.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.511 * [backup-simplify]: Simplify (+ 0 0) into 0
0.511 * [taylor]: Taking taylor expansion of 0 in im
0.511 * [backup-simplify]: Simplify 0 into 0
0.511 * [backup-simplify]: Simplify 0 into 0
0.511 * [backup-simplify]: Simplify 0 into 0
0.511 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow im 2) (pow re 2))
0.512 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))
0.512 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0
0.512 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.512 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.512 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.512 * [taylor]: Taking taylor expansion of re in im
0.512 * [backup-simplify]: Simplify re into re
0.512 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.512 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.512 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.512 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.512 * [taylor]: Taking taylor expansion of im in im
0.512 * [backup-simplify]: Simplify 0 into 0
0.512 * [backup-simplify]: Simplify 1 into 1
0.512 * [backup-simplify]: Simplify (* 1 1) into 1
0.512 * [backup-simplify]: Simplify (/ 1 1) into 1
0.512 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.512 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.512 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.512 * [taylor]: Taking taylor expansion of re in re
0.512 * [backup-simplify]: Simplify 0 into 0
0.513 * [backup-simplify]: Simplify 1 into 1
0.513 * [backup-simplify]: Simplify (* 1 1) into 1
0.513 * [backup-simplify]: Simplify (/ 1 1) into 1
0.513 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.513 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.513 * [taylor]: Taking taylor expansion of im in re
0.513 * [backup-simplify]: Simplify im into im
0.513 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.513 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.513 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.513 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.513 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.513 * [taylor]: Taking taylor expansion of re in re
0.513 * [backup-simplify]: Simplify 0 into 0
0.513 * [backup-simplify]: Simplify 1 into 1
0.514 * [backup-simplify]: Simplify (* 1 1) into 1
0.514 * [backup-simplify]: Simplify (/ 1 1) into 1
0.514 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.514 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.514 * [taylor]: Taking taylor expansion of im in re
0.514 * [backup-simplify]: Simplify im into im
0.514 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.514 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.518 * [backup-simplify]: Simplify (+ 1 0) into 1
0.518 * [taylor]: Taking taylor expansion of 1 in im
0.518 * [backup-simplify]: Simplify 1 into 1
0.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.520 * [backup-simplify]: Simplify (+ 0 0) into 0
0.520 * [taylor]: Taking taylor expansion of 0 in im
0.520 * [backup-simplify]: Simplify 0 into 0
0.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.522 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.522 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.522 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.522 * [taylor]: Taking taylor expansion of im in im
0.522 * [backup-simplify]: Simplify 0 into 0
0.523 * [backup-simplify]: Simplify 1 into 1
0.523 * [backup-simplify]: Simplify (* 1 1) into 1
0.523 * [backup-simplify]: Simplify (/ 1 1) into 1
0.523 * [backup-simplify]: Simplify 1 into 1
0.523 * [backup-simplify]: Simplify 1 into 1
0.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.525 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.526 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.526 * [backup-simplify]: Simplify (+ 0 0) into 0
0.526 * [taylor]: Taking taylor expansion of 0 in im
0.526 * [backup-simplify]: Simplify 0 into 0
0.527 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.528 * [backup-simplify]: Simplify 0 into 0
0.528 * [backup-simplify]: Simplify 0 into 0
0.528 * [backup-simplify]: Simplify 0 into 0
0.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.530 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.531 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.531 * [backup-simplify]: Simplify (+ 0 0) into 0
0.531 * [taylor]: Taking taylor expansion of 0 in im
0.531 * [backup-simplify]: Simplify 0 into 0
0.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.533 * [backup-simplify]: Simplify 0 into 0
0.533 * [backup-simplify]: Simplify 0 into 0
0.533 * [backup-simplify]: Simplify 0 into 0
0.534 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow im 2) (pow re 2))
0.534 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))
0.534 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0
0.534 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.534 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.534 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.534 * [taylor]: Taking taylor expansion of re in im
0.534 * [backup-simplify]: Simplify re into re
0.534 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.534 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.534 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.534 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.534 * [taylor]: Taking taylor expansion of im in im
0.534 * [backup-simplify]: Simplify 0 into 0
0.534 * [backup-simplify]: Simplify 1 into 1
0.535 * [backup-simplify]: Simplify (* 1 1) into 1
0.535 * [backup-simplify]: Simplify (/ 1 1) into 1
0.535 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.535 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.535 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.535 * [taylor]: Taking taylor expansion of re in re
0.535 * [backup-simplify]: Simplify 0 into 0
0.535 * [backup-simplify]: Simplify 1 into 1
0.536 * [backup-simplify]: Simplify (* 1 1) into 1
0.536 * [backup-simplify]: Simplify (/ 1 1) into 1
0.536 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.536 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.536 * [taylor]: Taking taylor expansion of im in re
0.536 * [backup-simplify]: Simplify im into im
0.536 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.536 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.536 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.536 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.537 * [taylor]: Taking taylor expansion of (pow re 2) 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
0.537 * [backup-simplify]: Simplify (* 1 1) into 1
0.537 * [backup-simplify]: Simplify (/ 1 1) into 1
0.537 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.537 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.537 * [taylor]: Taking taylor expansion of im in re
0.537 * [backup-simplify]: Simplify im into im
0.537 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.538 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.538 * [backup-simplify]: Simplify (+ 1 0) into 1
0.538 * [taylor]: Taking taylor expansion of 1 in im
0.538 * [backup-simplify]: Simplify 1 into 1
0.539 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.540 * [backup-simplify]: Simplify (+ 0 0) into 0
0.540 * [taylor]: Taking taylor expansion of 0 in im
0.540 * [backup-simplify]: Simplify 0 into 0
0.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.542 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.542 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.542 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.542 * [taylor]: Taking taylor expansion of im in im
0.542 * [backup-simplify]: Simplify 0 into 0
0.542 * [backup-simplify]: Simplify 1 into 1
0.542 * [backup-simplify]: Simplify (* 1 1) into 1
0.543 * [backup-simplify]: Simplify (/ 1 1) into 1
0.543 * [backup-simplify]: Simplify 1 into 1
0.543 * [backup-simplify]: Simplify 1 into 1
0.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.545 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.545 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.546 * [backup-simplify]: Simplify (+ 0 0) into 0
0.546 * [taylor]: Taking taylor expansion of 0 in im
0.546 * [backup-simplify]: Simplify 0 into 0
0.546 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.547 * [backup-simplify]: Simplify 0 into 0
0.547 * [backup-simplify]: Simplify 0 into 0
0.547 * [backup-simplify]: Simplify 0 into 0
0.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.550 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.550 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.551 * [backup-simplify]: Simplify (+ 0 0) into 0
0.551 * [taylor]: Taking taylor expansion of 0 in im
0.551 * [backup-simplify]: Simplify 0 into 0
0.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.553 * [backup-simplify]: Simplify 0 into 0
0.553 * [backup-simplify]: Simplify 0 into 0
0.553 * [backup-simplify]: Simplify 0 into 0
0.553 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow im 2) (pow re 2))
0.553 * * * [progress]: simplifying candidates
0.555 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (* (exp (sqrt (+ (* re re) (* im im)))) (exp re))
  (log (+ (sqrt (+ (* re re) (* im im))) re))
  (exp (+ (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (+ (sqrt (+ (* re re) (* im im))) re))
  (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))
  (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))
  (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (+ (* re re) (* im im))) re)
  (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))
  (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (* (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (sqrt 2.0)
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))
  (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (exp (* re re)) (exp (* im im)))
  (log (+ (* re re) (* im im)))
  (exp (+ (* re re) (* im im)))
  (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))
  (cbrt (+ (* re re) (* im im)))
  (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (+ (pow (* re re) 3) (pow (* im im) 3))
  (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))
  (- (* (* re re) (* re re)) (* (* im im) (* im im)))
  (- (* re re) (* im im))
  im
  re
  (* -1 re)
  (+ re im)
  (* 2 re)
  0
  (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re)))))))
  (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
  0
  (+ (pow im 2) (pow re 2))
  (+ (pow im 2) (pow re 2))
  (+ (pow im 2) (pow re 2))
0.557 * * [simplify]: iteration 0: 108 enodes
0.582 * * [simplify]: iteration 1: 291 enodes
0.748 * * [simplify]: iteration 2: 1360 enodes
1.211 * * [simplify]: iteration complete: 5001 enodes
1.211 * * [simplify]: Extracting #0: cost 55 inf + 0
1.213 * * [simplify]: Extracting #1: cost 379 inf + 5
1.220 * * [simplify]: Extracting #2: cost 1725 inf + 5413
1.245 * * [simplify]: Extracting #3: cost 1746 inf + 58131
1.297 * * [simplify]: Extracting #4: cost 558 inf + 246944
1.378 * * [simplify]: Extracting #5: cost 87 inf + 365826
1.467 * * [simplify]: Extracting #6: cost 12 inf + 383791
1.537 * * [simplify]: Extracting #7: cost 0 inf + 387187
1.633 * [simplify]: Simplified to:
  (log (sqrt (+ (* im im) (* re re))))
  (exp (sqrt (+ (* im im) (* re re))))
  (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re)))))
  (cbrt (sqrt (+ (* im im) (* re re))))
  (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re)))
  (fabs (cbrt (+ (* im im) (* re re))))
  (sqrt (cbrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  1
  (sqrt (+ (* im im) (* re re)))
  (sqrt (+ (* (* (* re re) re) (* (* re re) re)) (* (* (* im im) (* im im)) (* im im))))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (* (+ re im) (- re im)))
  1/2
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (exp (+ (sqrt (+ (* im im) (* re re))) re))
  (log (+ (sqrt (+ (* im im) (* re re))) re))
  (exp (+ (sqrt (+ (* im im) (* re re))) re))
  (* (cbrt (+ (sqrt (+ (* im im) (* re re))) re)) (cbrt (+ (sqrt (+ (* im im) (* re re))) re)))
  (cbrt (+ (sqrt (+ (* im im) (* re re))) re))
  (* (+ (sqrt (+ (* im im) (* re re))) re) (* (+ (sqrt (+ (* im im) (* re re))) re) (+ (sqrt (+ (* im im) (* re re))) re)))
  (sqrt (+ (sqrt (+ (* im im) (* re re))) re))
  (sqrt (+ (sqrt (+ (* im im) (* re re))) re))
  (+ (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* (* re re) re))
  (- (+ (+ (* im im) (* re re)) (* re re)) (* (sqrt (+ (* im im) (* re re))) re))
  (+ (* im im) 0)
  (- (sqrt (+ (* im im) (* re re))) re)
  (+ (sqrt (+ (* im im) (* re re))) re)
  (log (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re))))
  (exp (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re))))
  (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))))
  (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re))))
  (* (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re))) (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))
  (sqrt 2.0)
  (sqrt (+ (sqrt (+ (* im im) (* re re))) re))
  (sqrt (* (+ (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* (* re re) re)) 2.0))
  (sqrt (- (+ (+ (* im im) (* re re)) (* re re)) (* (sqrt (+ (* im im) (* re re))) re)))
  (sqrt (* 2.0 (+ (* im im) 0)))
  (sqrt (- (sqrt (+ (* im im) (* re re))) re))
  1/2
  1/2
  (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re))))
  (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re))))
  (exp (+ (* im im) (* re re)))
  (log (+ (* im im) (* re re)))
  (exp (+ (* im im) (* re re)))
  (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (* im im) (* re re))))
  (cbrt (+ (* im im) (* re re)))
  (* (+ (* im im) (* re re)) (* (+ (* im im) (* re re)) (+ (* im im) (* re re))))
  (sqrt (+ (* im im) (* re re)))
  (sqrt (+ (* im im) (* re re)))
  (+ (* (* (* re re) re) (* (* re re) re)) (* (* (* im im) (* im im)) (* im im)))
  (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re)))
  (- (* (* re re) (* re re)) (* (* im im) (* im im)))
  (* (+ re im) (- re im))
  im
  re
  (- re)
  (+ re im)
  (* 2 re)
  0
  (- (- (* (* re re) (* (sqrt 2.0) +nan.0)) (* (* (sqrt 2.0) +nan.0) (- im re))))
  (+ (* +nan.0 (- (/ (sqrt 2.0) re) (/ (sqrt 2.0) (* re re)))) (- (* (sqrt 2.0) +nan.0)))
  0
  (+ (* im im) (* re re))
  (+ (* im im) (* re re))
  (+ (* im im) (* re re))
1.642 * * * [progress]: adding candidates to table
2.049 * * [progress]: iteration 2 / 4
2.049 * * * [progress]: picking best candidate
2.099 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
2.099 * * * [progress]: localizing error
2.141 * * * [progress]: generating rewritten candidates
2.141 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1)
2.153 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1)
2.166 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2)
2.206 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1)
2.267 * * * [progress]: generating series expansions
2.267 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1)
2.267 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
2.267 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
2.267 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
2.267 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
2.267 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.267 * [taylor]: Taking taylor expansion of im in im
2.267 * [backup-simplify]: Simplify 0 into 0
2.267 * [backup-simplify]: Simplify 1 into 1
2.267 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.267 * [taylor]: Taking taylor expansion of re in im
2.267 * [backup-simplify]: Simplify re into re
2.267 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.267 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
2.268 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.268 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.268 * [backup-simplify]: Simplify (+ 0 0) into 0
2.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.268 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.268 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.268 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.268 * [taylor]: Taking taylor expansion of im in re
2.268 * [backup-simplify]: Simplify im into im
2.268 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.268 * [taylor]: Taking taylor expansion of re in re
2.268 * [backup-simplify]: Simplify 0 into 0
2.268 * [backup-simplify]: Simplify 1 into 1
2.268 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.269 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.269 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.269 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.269 * [backup-simplify]: Simplify (+ 0 0) into 0
2.269 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.269 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.269 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.269 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.269 * [taylor]: Taking taylor expansion of im in re
2.269 * [backup-simplify]: Simplify im into im
2.269 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.269 * [taylor]: Taking taylor expansion of re in re
2.269 * [backup-simplify]: Simplify 0 into 0
2.269 * [backup-simplify]: Simplify 1 into 1
2.269 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.269 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.269 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.269 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.270 * [backup-simplify]: Simplify (+ 0 0) into 0
2.270 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.270 * [taylor]: Taking taylor expansion of im in im
2.270 * [backup-simplify]: Simplify 0 into 0
2.270 * [backup-simplify]: Simplify 1 into 1
2.270 * [backup-simplify]: Simplify 0 into 0
2.270 * [taylor]: Taking taylor expansion of 0 in im
2.270 * [backup-simplify]: Simplify 0 into 0
2.270 * [backup-simplify]: Simplify 0 into 0
2.270 * [backup-simplify]: Simplify 1 into 1
2.270 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.271 * [backup-simplify]: Simplify (* 1 1) into 1
2.271 * [backup-simplify]: Simplify (+ 0 1) into 1
2.271 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.271 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
2.272 * [taylor]: Taking taylor expansion of 1/2 in im
2.272 * [backup-simplify]: Simplify 1/2 into 1/2
2.272 * [taylor]: Taking taylor expansion of im in im
2.272 * [backup-simplify]: Simplify 0 into 0
2.272 * [backup-simplify]: Simplify 1 into 1
2.272 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.272 * [backup-simplify]: Simplify 0 into 0
2.272 * [backup-simplify]: Simplify 0 into 0
2.272 * [backup-simplify]: Simplify 0 into 0
2.273 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.274 * [backup-simplify]: Simplify (+ 0 0) into 0
2.274 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.274 * [taylor]: Taking taylor expansion of 0 in im
2.274 * [backup-simplify]: Simplify 0 into 0
2.274 * [backup-simplify]: Simplify 0 into 0
2.274 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.274 * [backup-simplify]: Simplify 0 into 0
2.274 * [backup-simplify]: Simplify 0 into 0
2.274 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
2.275 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
2.275 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
2.275 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.275 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.275 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.275 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.275 * [taylor]: Taking taylor expansion of re in im
2.275 * [backup-simplify]: Simplify re into re
2.275 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.275 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.275 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.275 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.275 * [taylor]: Taking taylor expansion of im in im
2.275 * [backup-simplify]: Simplify 0 into 0
2.275 * [backup-simplify]: Simplify 1 into 1
2.275 * [backup-simplify]: Simplify (* 1 1) into 1
2.275 * [backup-simplify]: Simplify (/ 1 1) into 1
2.276 * [backup-simplify]: Simplify (+ 0 1) into 1
2.276 * [backup-simplify]: Simplify (sqrt 1) into 1
2.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.277 * [backup-simplify]: Simplify (+ 0 0) into 0
2.277 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.277 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.277 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.277 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.277 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.277 * [taylor]: Taking taylor expansion of re in re
2.277 * [backup-simplify]: Simplify 0 into 0
2.277 * [backup-simplify]: Simplify 1 into 1
2.278 * [backup-simplify]: Simplify (* 1 1) into 1
2.278 * [backup-simplify]: Simplify (/ 1 1) into 1
2.278 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.278 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.278 * [taylor]: Taking taylor expansion of im in re
2.278 * [backup-simplify]: Simplify im into im
2.278 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.278 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.278 * [backup-simplify]: Simplify (+ 1 0) into 1
2.279 * [backup-simplify]: Simplify (sqrt 1) into 1
2.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.280 * [backup-simplify]: Simplify (+ 0 0) into 0
2.280 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.280 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.280 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.280 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.280 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.280 * [taylor]: Taking taylor expansion of re in re
2.280 * [backup-simplify]: Simplify 0 into 0
2.280 * [backup-simplify]: Simplify 1 into 1
2.281 * [backup-simplify]: Simplify (* 1 1) into 1
2.281 * [backup-simplify]: Simplify (/ 1 1) into 1
2.281 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.281 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.281 * [taylor]: Taking taylor expansion of im in re
2.281 * [backup-simplify]: Simplify im into im
2.281 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.281 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.281 * [backup-simplify]: Simplify (+ 1 0) into 1
2.282 * [backup-simplify]: Simplify (sqrt 1) into 1
2.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.283 * [backup-simplify]: Simplify (+ 0 0) into 0
2.283 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.283 * [taylor]: Taking taylor expansion of 1 in im
2.283 * [backup-simplify]: Simplify 1 into 1
2.283 * [taylor]: Taking taylor expansion of 0 in im
2.283 * [backup-simplify]: Simplify 0 into 0
2.283 * [backup-simplify]: Simplify 1 into 1
2.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.284 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.285 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.285 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.285 * [taylor]: Taking taylor expansion of 1/2 in im
2.285 * [backup-simplify]: Simplify 1/2 into 1/2
2.285 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.285 * [taylor]: Taking taylor expansion of im in im
2.285 * [backup-simplify]: Simplify 0 into 0
2.285 * [backup-simplify]: Simplify 1 into 1
2.285 * [backup-simplify]: Simplify (* 1 1) into 1
2.286 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.287 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.287 * [backup-simplify]: Simplify 0 into 0
2.287 * [backup-simplify]: Simplify 0 into 0
2.287 * [backup-simplify]: Simplify 0 into 0
2.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.288 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.288 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.288 * [backup-simplify]: Simplify (+ 0 0) into 0
2.289 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.289 * [taylor]: Taking taylor expansion of 0 in im
2.289 * [backup-simplify]: Simplify 0 into 0
2.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.290 * [backup-simplify]: Simplify 0 into 0
2.290 * [backup-simplify]: Simplify 0 into 0
2.290 * [backup-simplify]: Simplify 0 into 0
2.290 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
2.290 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
2.290 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
2.290 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.290 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.290 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.290 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.290 * [taylor]: Taking taylor expansion of re in im
2.290 * [backup-simplify]: Simplify re into re
2.290 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.291 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.291 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.291 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.291 * [taylor]: Taking taylor expansion of im in im
2.291 * [backup-simplify]: Simplify 0 into 0
2.291 * [backup-simplify]: Simplify 1 into 1
2.291 * [backup-simplify]: Simplify (* 1 1) into 1
2.291 * [backup-simplify]: Simplify (/ 1 1) into 1
2.292 * [backup-simplify]: Simplify (+ 0 1) into 1
2.292 * [backup-simplify]: Simplify (sqrt 1) into 1
2.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.294 * [backup-simplify]: Simplify (+ 0 0) into 0
2.295 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.295 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.295 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.295 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.295 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.295 * [taylor]: Taking taylor expansion of re in re
2.295 * [backup-simplify]: Simplify 0 into 0
2.295 * [backup-simplify]: Simplify 1 into 1
2.295 * [backup-simplify]: Simplify (* 1 1) into 1
2.296 * [backup-simplify]: Simplify (/ 1 1) into 1
2.296 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.296 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.296 * [taylor]: Taking taylor expansion of im in re
2.296 * [backup-simplify]: Simplify im into im
2.296 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.296 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.297 * [backup-simplify]: Simplify (+ 1 0) into 1
2.297 * [backup-simplify]: Simplify (sqrt 1) into 1
2.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.299 * [backup-simplify]: Simplify (+ 0 0) into 0
2.300 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.300 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.300 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.300 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.300 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.300 * [taylor]: Taking taylor expansion of re in re
2.300 * [backup-simplify]: Simplify 0 into 0
2.300 * [backup-simplify]: Simplify 1 into 1
2.300 * [backup-simplify]: Simplify (* 1 1) into 1
2.301 * [backup-simplify]: Simplify (/ 1 1) into 1
2.301 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.301 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.301 * [taylor]: Taking taylor expansion of im in re
2.301 * [backup-simplify]: Simplify im into im
2.301 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.301 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.301 * [backup-simplify]: Simplify (+ 1 0) into 1
2.302 * [backup-simplify]: Simplify (sqrt 1) into 1
2.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.304 * [backup-simplify]: Simplify (+ 0 0) into 0
2.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.305 * [taylor]: Taking taylor expansion of 1 in im
2.305 * [backup-simplify]: Simplify 1 into 1
2.305 * [taylor]: Taking taylor expansion of 0 in im
2.305 * [backup-simplify]: Simplify 0 into 0
2.305 * [backup-simplify]: Simplify 1 into 1
2.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.307 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.308 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.308 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.308 * [taylor]: Taking taylor expansion of 1/2 in im
2.308 * [backup-simplify]: Simplify 1/2 into 1/2
2.308 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.308 * [taylor]: Taking taylor expansion of im in im
2.309 * [backup-simplify]: Simplify 0 into 0
2.309 * [backup-simplify]: Simplify 1 into 1
2.309 * [backup-simplify]: Simplify (* 1 1) into 1
2.309 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.311 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.311 * [backup-simplify]: Simplify 0 into 0
2.311 * [backup-simplify]: Simplify 0 into 0
2.311 * [backup-simplify]: Simplify 0 into 0
2.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.313 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.314 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.314 * [backup-simplify]: Simplify (+ 0 0) into 0
2.315 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.315 * [taylor]: Taking taylor expansion of 0 in im
2.315 * [backup-simplify]: Simplify 0 into 0
2.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.317 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.317 * [backup-simplify]: Simplify 0 into 0
2.317 * [backup-simplify]: Simplify 0 into 0
2.317 * [backup-simplify]: Simplify 0 into 0
2.317 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
2.317 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1)
2.317 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
2.317 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
2.317 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
2.317 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
2.317 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.317 * [taylor]: Taking taylor expansion of im in im
2.317 * [backup-simplify]: Simplify 0 into 0
2.317 * [backup-simplify]: Simplify 1 into 1
2.317 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.317 * [taylor]: Taking taylor expansion of re in im
2.318 * [backup-simplify]: Simplify re into re
2.318 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.318 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
2.318 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.318 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.318 * [backup-simplify]: Simplify (+ 0 0) into 0
2.319 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.319 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.319 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.319 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.319 * [taylor]: Taking taylor expansion of im in re
2.319 * [backup-simplify]: Simplify im into im
2.319 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.319 * [taylor]: Taking taylor expansion of re in re
2.319 * [backup-simplify]: Simplify 0 into 0
2.319 * [backup-simplify]: Simplify 1 into 1
2.319 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.319 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.319 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.319 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.320 * [backup-simplify]: Simplify (+ 0 0) into 0
2.320 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.320 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.320 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.320 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.320 * [taylor]: Taking taylor expansion of im in re
2.320 * [backup-simplify]: Simplify im into im
2.320 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.320 * [taylor]: Taking taylor expansion of re in re
2.320 * [backup-simplify]: Simplify 0 into 0
2.320 * [backup-simplify]: Simplify 1 into 1
2.320 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.320 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.320 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.321 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.321 * [backup-simplify]: Simplify (+ 0 0) into 0
2.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.321 * [taylor]: Taking taylor expansion of im in im
2.321 * [backup-simplify]: Simplify 0 into 0
2.321 * [backup-simplify]: Simplify 1 into 1
2.321 * [backup-simplify]: Simplify 0 into 0
2.321 * [taylor]: Taking taylor expansion of 0 in im
2.321 * [backup-simplify]: Simplify 0 into 0
2.321 * [backup-simplify]: Simplify 0 into 0
2.321 * [backup-simplify]: Simplify 1 into 1
2.322 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.322 * [backup-simplify]: Simplify (* 1 1) into 1
2.323 * [backup-simplify]: Simplify (+ 0 1) into 1
2.324 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.324 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
2.324 * [taylor]: Taking taylor expansion of 1/2 in im
2.324 * [backup-simplify]: Simplify 1/2 into 1/2
2.324 * [taylor]: Taking taylor expansion of im in im
2.324 * [backup-simplify]: Simplify 0 into 0
2.324 * [backup-simplify]: Simplify 1 into 1
2.324 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.325 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.325 * [backup-simplify]: Simplify 0 into 0
2.325 * [backup-simplify]: Simplify 0 into 0
2.325 * [backup-simplify]: Simplify 0 into 0
2.326 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.327 * [backup-simplify]: Simplify (+ 0 0) into 0
2.327 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.327 * [taylor]: Taking taylor expansion of 0 in im
2.327 * [backup-simplify]: Simplify 0 into 0
2.327 * [backup-simplify]: Simplify 0 into 0
2.328 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.329 * [backup-simplify]: Simplify 0 into 0
2.329 * [backup-simplify]: Simplify 0 into 0
2.329 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
2.329 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
2.329 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
2.329 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.329 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.329 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.329 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.329 * [taylor]: Taking taylor expansion of re in im
2.329 * [backup-simplify]: Simplify re into re
2.329 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.329 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.330 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.330 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.330 * [taylor]: Taking taylor expansion of im in im
2.330 * [backup-simplify]: Simplify 0 into 0
2.330 * [backup-simplify]: Simplify 1 into 1
2.330 * [backup-simplify]: Simplify (* 1 1) into 1
2.330 * [backup-simplify]: Simplify (/ 1 1) into 1
2.331 * [backup-simplify]: Simplify (+ 0 1) into 1
2.331 * [backup-simplify]: Simplify (sqrt 1) into 1
2.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.333 * [backup-simplify]: Simplify (+ 0 0) into 0
2.334 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.334 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.334 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.334 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.334 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.334 * [taylor]: Taking taylor expansion of re in re
2.334 * [backup-simplify]: Simplify 0 into 0
2.334 * [backup-simplify]: Simplify 1 into 1
2.334 * [backup-simplify]: Simplify (* 1 1) into 1
2.335 * [backup-simplify]: Simplify (/ 1 1) into 1
2.335 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.335 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.335 * [taylor]: Taking taylor expansion of im in re
2.335 * [backup-simplify]: Simplify im into im
2.335 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.335 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.336 * [backup-simplify]: Simplify (+ 1 0) into 1
2.336 * [backup-simplify]: Simplify (sqrt 1) into 1
2.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.338 * [backup-simplify]: Simplify (+ 0 0) into 0
2.339 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.339 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.339 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.339 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.339 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.339 * [taylor]: Taking taylor expansion of re in re
2.339 * [backup-simplify]: Simplify 0 into 0
2.339 * [backup-simplify]: Simplify 1 into 1
2.339 * [backup-simplify]: Simplify (* 1 1) into 1
2.340 * [backup-simplify]: Simplify (/ 1 1) into 1
2.340 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.340 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.340 * [taylor]: Taking taylor expansion of im in re
2.340 * [backup-simplify]: Simplify im into im
2.340 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.340 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.340 * [backup-simplify]: Simplify (+ 1 0) into 1
2.341 * [backup-simplify]: Simplify (sqrt 1) into 1
2.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.343 * [backup-simplify]: Simplify (+ 0 0) into 0
2.343 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.343 * [taylor]: Taking taylor expansion of 1 in im
2.343 * [backup-simplify]: Simplify 1 into 1
2.343 * [taylor]: Taking taylor expansion of 0 in im
2.344 * [backup-simplify]: Simplify 0 into 0
2.344 * [backup-simplify]: Simplify 1 into 1
2.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.346 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.347 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.347 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.347 * [taylor]: Taking taylor expansion of 1/2 in im
2.347 * [backup-simplify]: Simplify 1/2 into 1/2
2.347 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.347 * [taylor]: Taking taylor expansion of im in im
2.347 * [backup-simplify]: Simplify 0 into 0
2.347 * [backup-simplify]: Simplify 1 into 1
2.348 * [backup-simplify]: Simplify (* 1 1) into 1
2.348 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.349 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.350 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.350 * [backup-simplify]: Simplify 0 into 0
2.350 * [backup-simplify]: Simplify 0 into 0
2.350 * [backup-simplify]: Simplify 0 into 0
2.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.352 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.353 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.353 * [backup-simplify]: Simplify (+ 0 0) into 0
2.354 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.354 * [taylor]: Taking taylor expansion of 0 in im
2.354 * [backup-simplify]: Simplify 0 into 0
2.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.356 * [backup-simplify]: Simplify 0 into 0
2.356 * [backup-simplify]: Simplify 0 into 0
2.356 * [backup-simplify]: Simplify 0 into 0
2.356 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
2.356 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
2.356 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
2.356 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.356 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.356 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.356 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.356 * [taylor]: Taking taylor expansion of re in im
2.356 * [backup-simplify]: Simplify re into re
2.357 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.357 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.357 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.357 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.357 * [taylor]: Taking taylor expansion of im in im
2.357 * [backup-simplify]: Simplify 0 into 0
2.357 * [backup-simplify]: Simplify 1 into 1
2.357 * [backup-simplify]: Simplify (* 1 1) into 1
2.358 * [backup-simplify]: Simplify (/ 1 1) into 1
2.358 * [backup-simplify]: Simplify (+ 0 1) into 1
2.359 * [backup-simplify]: Simplify (sqrt 1) into 1
2.359 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.360 * [backup-simplify]: Simplify (+ 0 0) into 0
2.361 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.361 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.361 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.361 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.361 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.361 * [taylor]: Taking taylor expansion of re in re
2.361 * [backup-simplify]: Simplify 0 into 0
2.361 * [backup-simplify]: Simplify 1 into 1
2.362 * [backup-simplify]: Simplify (* 1 1) into 1
2.362 * [backup-simplify]: Simplify (/ 1 1) into 1
2.362 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.362 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.362 * [taylor]: Taking taylor expansion of im in re
2.362 * [backup-simplify]: Simplify im into im
2.362 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.363 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.363 * [backup-simplify]: Simplify (+ 1 0) into 1
2.363 * [backup-simplify]: Simplify (sqrt 1) into 1
2.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.365 * [backup-simplify]: Simplify (+ 0 0) into 0
2.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.366 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.366 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.366 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.366 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.366 * [taylor]: Taking taylor expansion of re in re
2.366 * [backup-simplify]: Simplify 0 into 0
2.366 * [backup-simplify]: Simplify 1 into 1
2.367 * [backup-simplify]: Simplify (* 1 1) into 1
2.367 * [backup-simplify]: Simplify (/ 1 1) into 1
2.367 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.367 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.367 * [taylor]: Taking taylor expansion of im in re
2.367 * [backup-simplify]: Simplify im into im
2.367 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.367 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.368 * [backup-simplify]: Simplify (+ 1 0) into 1
2.368 * [backup-simplify]: Simplify (sqrt 1) into 1
2.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.370 * [backup-simplify]: Simplify (+ 0 0) into 0
2.371 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.371 * [taylor]: Taking taylor expansion of 1 in im
2.371 * [backup-simplify]: Simplify 1 into 1
2.371 * [taylor]: Taking taylor expansion of 0 in im
2.371 * [backup-simplify]: Simplify 0 into 0
2.371 * [backup-simplify]: Simplify 1 into 1
2.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.373 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.375 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.375 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.375 * [taylor]: Taking taylor expansion of 1/2 in im
2.375 * [backup-simplify]: Simplify 1/2 into 1/2
2.375 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.375 * [taylor]: Taking taylor expansion of im in im
2.375 * [backup-simplify]: Simplify 0 into 0
2.375 * [backup-simplify]: Simplify 1 into 1
2.376 * [backup-simplify]: Simplify (* 1 1) into 1
2.376 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.377 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.378 * [backup-simplify]: Simplify 0 into 0
2.378 * [backup-simplify]: Simplify 0 into 0
2.378 * [backup-simplify]: Simplify 0 into 0
2.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.380 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.380 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.381 * [backup-simplify]: Simplify (+ 0 0) into 0
2.381 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.381 * [taylor]: Taking taylor expansion of 0 in im
2.381 * [backup-simplify]: Simplify 0 into 0
2.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.383 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.383 * [backup-simplify]: Simplify 0 into 0
2.383 * [backup-simplify]: Simplify 0 into 0
2.383 * [backup-simplify]: Simplify 0 into 0
2.384 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
2.384 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2)
2.384 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2))))
2.384 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0
2.384 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
2.384 * [taylor]: Taking taylor expansion of re in im
2.384 * [backup-simplify]: Simplify re into re
2.384 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
2.384 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
2.384 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.384 * [taylor]: Taking taylor expansion of im in im
2.384 * [backup-simplify]: Simplify 0 into 0
2.384 * [backup-simplify]: Simplify 1 into 1
2.385 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.385 * [taylor]: Taking taylor expansion of re in im
2.385 * [backup-simplify]: Simplify re into re
2.385 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.385 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
2.385 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.385 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.385 * [backup-simplify]: Simplify (+ 0 0) into 0
2.386 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.386 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
2.386 * [taylor]: Taking taylor expansion of re in re
2.386 * [backup-simplify]: Simplify 0 into 0
2.386 * [backup-simplify]: Simplify 1 into 1
2.386 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.386 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.386 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.386 * [taylor]: Taking taylor expansion of im in re
2.386 * [backup-simplify]: Simplify im into im
2.386 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.386 * [taylor]: Taking taylor expansion of re in re
2.386 * [backup-simplify]: Simplify 0 into 0
2.386 * [backup-simplify]: Simplify 1 into 1
2.386 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.386 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.386 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.386 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.387 * [backup-simplify]: Simplify (+ 0 0) into 0
2.387 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.387 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
2.387 * [taylor]: Taking taylor expansion of re in re
2.387 * [backup-simplify]: Simplify 0 into 0
2.387 * [backup-simplify]: Simplify 1 into 1
2.387 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.387 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.387 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.387 * [taylor]: Taking taylor expansion of im in re
2.387 * [backup-simplify]: Simplify im into im
2.387 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.387 * [taylor]: Taking taylor expansion of re in re
2.387 * [backup-simplify]: Simplify 0 into 0
2.387 * [backup-simplify]: Simplify 1 into 1
2.387 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.388 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.388 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.388 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.388 * [backup-simplify]: Simplify (+ 0 0) into 0
2.388 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.388 * [backup-simplify]: Simplify (+ 0 im) into im
2.389 * [taylor]: Taking taylor expansion of im in im
2.389 * [backup-simplify]: Simplify 0 into 0
2.389 * [backup-simplify]: Simplify 1 into 1
2.389 * [backup-simplify]: Simplify 0 into 0
2.389 * [backup-simplify]: Simplify (+ 1 0) into 1
2.389 * [taylor]: Taking taylor expansion of 1 in im
2.389 * [backup-simplify]: Simplify 1 into 1
2.389 * [backup-simplify]: Simplify 1 into 1
2.389 * [backup-simplify]: Simplify 1 into 1
2.390 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.390 * [backup-simplify]: Simplify (* 1 1) into 1
2.390 * [backup-simplify]: Simplify (+ 0 1) into 1
2.391 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.391 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
2.391 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
2.391 * [taylor]: Taking taylor expansion of 1/2 in im
2.391 * [backup-simplify]: Simplify 1/2 into 1/2
2.391 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.391 * [taylor]: Taking taylor expansion of im in im
2.392 * [backup-simplify]: Simplify 0 into 0
2.392 * [backup-simplify]: Simplify 1 into 1
2.392 * [backup-simplify]: Simplify (/ 1 1) into 1
2.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.393 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.393 * [backup-simplify]: Simplify 0 into 0
2.394 * [backup-simplify]: Simplify 0 into 0
2.394 * [backup-simplify]: Simplify 0 into 0
2.394 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.395 * [backup-simplify]: Simplify (+ 0 0) into 0
2.396 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.396 * [backup-simplify]: Simplify (+ 0 0) into 0
2.396 * [taylor]: Taking taylor expansion of 0 in im
2.396 * [backup-simplify]: Simplify 0 into 0
2.396 * [backup-simplify]: Simplify 0 into 0
2.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.398 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.398 * [backup-simplify]: Simplify 0 into 0
2.398 * [backup-simplify]: Simplify 0 into 0
2.398 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
2.399 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))
2.399 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
2.399 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
2.399 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.399 * [taylor]: Taking taylor expansion of re in im
2.399 * [backup-simplify]: Simplify re into re
2.399 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.399 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.399 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.399 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.399 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.400 * [taylor]: Taking taylor expansion of re in im
2.400 * [backup-simplify]: Simplify re into re
2.400 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.400 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.400 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.400 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.400 * [taylor]: Taking taylor expansion of im in im
2.400 * [backup-simplify]: Simplify 0 into 0
2.400 * [backup-simplify]: Simplify 1 into 1
2.400 * [backup-simplify]: Simplify (* 1 1) into 1
2.401 * [backup-simplify]: Simplify (/ 1 1) into 1
2.401 * [backup-simplify]: Simplify (+ 0 1) into 1
2.406 * [backup-simplify]: Simplify (sqrt 1) into 1
2.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.408 * [backup-simplify]: Simplify (+ 0 0) into 0
2.409 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.409 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
2.409 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.409 * [taylor]: Taking taylor expansion of re in re
2.409 * [backup-simplify]: Simplify 0 into 0
2.409 * [backup-simplify]: Simplify 1 into 1
2.410 * [backup-simplify]: Simplify (/ 1 1) into 1
2.410 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.410 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.410 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.410 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.410 * [taylor]: Taking taylor expansion of re in re
2.410 * [backup-simplify]: Simplify 0 into 0
2.410 * [backup-simplify]: Simplify 1 into 1
2.410 * [backup-simplify]: Simplify (* 1 1) into 1
2.411 * [backup-simplify]: Simplify (/ 1 1) into 1
2.411 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.411 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.411 * [taylor]: Taking taylor expansion of im in re
2.411 * [backup-simplify]: Simplify im into im
2.411 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.411 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.412 * [backup-simplify]: Simplify (+ 1 0) into 1
2.412 * [backup-simplify]: Simplify (sqrt 1) into 1
2.413 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.414 * [backup-simplify]: Simplify (+ 0 0) into 0
2.414 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.415 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
2.415 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.415 * [taylor]: Taking taylor expansion of re in re
2.415 * [backup-simplify]: Simplify 0 into 0
2.415 * [backup-simplify]: Simplify 1 into 1
2.415 * [backup-simplify]: Simplify (/ 1 1) into 1
2.415 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.415 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.415 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.415 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.415 * [taylor]: Taking taylor expansion of re in re
2.415 * [backup-simplify]: Simplify 0 into 0
2.415 * [backup-simplify]: Simplify 1 into 1
2.416 * [backup-simplify]: Simplify (* 1 1) into 1
2.416 * [backup-simplify]: Simplify (/ 1 1) into 1
2.416 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.416 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.416 * [taylor]: Taking taylor expansion of im in re
2.416 * [backup-simplify]: Simplify im into im
2.416 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.416 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.417 * [backup-simplify]: Simplify (+ 1 0) into 1
2.417 * [backup-simplify]: Simplify (sqrt 1) into 1
2.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.419 * [backup-simplify]: Simplify (+ 0 0) into 0
2.420 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.420 * [backup-simplify]: Simplify (+ 1 1) into 2
2.420 * [taylor]: Taking taylor expansion of 2 in im
2.420 * [backup-simplify]: Simplify 2 into 2
2.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.421 * [backup-simplify]: Simplify (+ 0 0) into 0
2.421 * [taylor]: Taking taylor expansion of 0 in im
2.421 * [backup-simplify]: Simplify 0 into 0
2.421 * [backup-simplify]: Simplify 2 into 2
2.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.424 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.426 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.426 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
2.426 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
2.426 * [taylor]: Taking taylor expansion of 1/2 in im
2.426 * [backup-simplify]: Simplify 1/2 into 1/2
2.426 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.426 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.426 * [taylor]: Taking taylor expansion of im in im
2.426 * [backup-simplify]: Simplify 0 into 0
2.426 * [backup-simplify]: Simplify 1 into 1
2.427 * [backup-simplify]: Simplify (* 1 1) into 1
2.427 * [backup-simplify]: Simplify (/ 1 1) into 1
2.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.429 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.429 * [backup-simplify]: Simplify 0 into 0
2.429 * [backup-simplify]: Simplify 0 into 0
2.429 * [backup-simplify]: Simplify 0 into 0
2.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.432 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.433 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.433 * [backup-simplify]: Simplify (+ 0 0) into 0
2.434 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.434 * [backup-simplify]: Simplify (+ 0 0) into 0
2.434 * [taylor]: Taking taylor expansion of 0 in im
2.434 * [backup-simplify]: Simplify 0 into 0
2.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.437 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.437 * [backup-simplify]: Simplify 0 into 0
2.437 * [backup-simplify]: Simplify 0 into 0
2.437 * [backup-simplify]: Simplify 0 into 0
2.437 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
2.438 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))
2.438 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
2.438 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
2.438 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.438 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.438 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.438 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.438 * [taylor]: Taking taylor expansion of re in im
2.438 * [backup-simplify]: Simplify re into re
2.438 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.439 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.439 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.439 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.439 * [taylor]: Taking taylor expansion of im in im
2.439 * [backup-simplify]: Simplify 0 into 0
2.439 * [backup-simplify]: Simplify 1 into 1
2.439 * [backup-simplify]: Simplify (* 1 1) into 1
2.439 * [backup-simplify]: Simplify (/ 1 1) into 1
2.439 * [backup-simplify]: Simplify (+ 0 1) into 1
2.440 * [backup-simplify]: Simplify (sqrt 1) into 1
2.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.441 * [backup-simplify]: Simplify (+ 0 0) into 0
2.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.441 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.441 * [taylor]: Taking taylor expansion of re in im
2.441 * [backup-simplify]: Simplify re into re
2.441 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.441 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
2.441 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.441 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.441 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.441 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.441 * [taylor]: Taking taylor expansion of re in re
2.441 * [backup-simplify]: Simplify 0 into 0
2.441 * [backup-simplify]: Simplify 1 into 1
2.442 * [backup-simplify]: Simplify (* 1 1) into 1
2.442 * [backup-simplify]: Simplify (/ 1 1) into 1
2.442 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.442 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.442 * [taylor]: Taking taylor expansion of im in re
2.442 * [backup-simplify]: Simplify im into im
2.442 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.442 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.442 * [backup-simplify]: Simplify (+ 1 0) into 1
2.443 * [backup-simplify]: Simplify (sqrt 1) into 1
2.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.444 * [backup-simplify]: Simplify (+ 0 0) into 0
2.444 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.444 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.444 * [taylor]: Taking taylor expansion of re in re
2.444 * [backup-simplify]: Simplify 0 into 0
2.444 * [backup-simplify]: Simplify 1 into 1
2.444 * [backup-simplify]: Simplify (/ 1 1) into 1
2.445 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
2.445 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.445 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.445 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.445 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.445 * [taylor]: Taking taylor expansion of re in re
2.445 * [backup-simplify]: Simplify 0 into 0
2.445 * [backup-simplify]: Simplify 1 into 1
2.445 * [backup-simplify]: Simplify (* 1 1) into 1
2.445 * [backup-simplify]: Simplify (/ 1 1) into 1
2.445 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.445 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.445 * [taylor]: Taking taylor expansion of im in re
2.445 * [backup-simplify]: Simplify im into im
2.445 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.445 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.446 * [backup-simplify]: Simplify (+ 1 0) into 1
2.446 * [backup-simplify]: Simplify (sqrt 1) into 1
2.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.447 * [backup-simplify]: Simplify (+ 0 0) into 0
2.447 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.447 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.447 * [taylor]: Taking taylor expansion of re in re
2.447 * [backup-simplify]: Simplify 0 into 0
2.447 * [backup-simplify]: Simplify 1 into 1
2.448 * [backup-simplify]: Simplify (/ 1 1) into 1
2.448 * [backup-simplify]: Simplify (- 1) into -1
2.448 * [backup-simplify]: Simplify (+ 1 -1) into 0
2.448 * [taylor]: Taking taylor expansion of 0 in im
2.448 * [backup-simplify]: Simplify 0 into 0
2.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.449 * [backup-simplify]: Simplify (- 0) into 0
2.449 * [backup-simplify]: Simplify (+ 0 0) into 0
2.449 * [taylor]: Taking taylor expansion of 0 in im
2.449 * [backup-simplify]: Simplify 0 into 0
2.449 * [backup-simplify]: Simplify 0 into 0
2.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.450 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.451 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.452 * [backup-simplify]: Simplify (- 0) into 0
2.452 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
2.452 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
2.452 * [taylor]: Taking taylor expansion of 1/2 in im
2.452 * [backup-simplify]: Simplify 1/2 into 1/2
2.452 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.452 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.452 * [taylor]: Taking taylor expansion of im in im
2.452 * [backup-simplify]: Simplify 0 into 0
2.452 * [backup-simplify]: Simplify 1 into 1
2.452 * [backup-simplify]: Simplify (* 1 1) into 1
2.453 * [backup-simplify]: Simplify (/ 1 1) into 1
2.453 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.454 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.454 * [backup-simplify]: Simplify 0 into 0
2.454 * [backup-simplify]: Simplify 0 into 0
2.454 * [backup-simplify]: Simplify 0 into 0
2.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.455 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.455 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.456 * [backup-simplify]: Simplify (+ 0 0) into 0
2.456 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.457 * [backup-simplify]: Simplify (- 0) into 0
2.457 * [backup-simplify]: Simplify (+ 0 0) into 0
2.457 * [taylor]: Taking taylor expansion of 0 in im
2.457 * [backup-simplify]: Simplify 0 into 0
2.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.459 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.459 * [backup-simplify]: Simplify 0 into 0
2.459 * [backup-simplify]: Simplify 0 into 0
2.459 * [backup-simplify]: Simplify 0 into 0
2.459 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1)
2.459 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow im 2) (pow re 2)))
2.459 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
2.459 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
2.459 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
2.459 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.459 * [taylor]: Taking taylor expansion of im in im
2.459 * [backup-simplify]: Simplify 0 into 0
2.459 * [backup-simplify]: Simplify 1 into 1
2.459 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.459 * [taylor]: Taking taylor expansion of re in im
2.459 * [backup-simplify]: Simplify re into re
2.459 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.459 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
2.459 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.459 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.460 * [backup-simplify]: Simplify (+ 0 0) into 0
2.460 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.460 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.460 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.460 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.460 * [taylor]: Taking taylor expansion of im in re
2.460 * [backup-simplify]: Simplify im into im
2.460 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.460 * [taylor]: Taking taylor expansion of re in re
2.460 * [backup-simplify]: Simplify 0 into 0
2.460 * [backup-simplify]: Simplify 1 into 1
2.460 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.460 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.460 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.460 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.460 * [backup-simplify]: Simplify (+ 0 0) into 0
2.461 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.461 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.461 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.461 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.461 * [taylor]: Taking taylor expansion of im in re
2.461 * [backup-simplify]: Simplify im into im
2.461 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.461 * [taylor]: Taking taylor expansion of re in re
2.461 * [backup-simplify]: Simplify 0 into 0
2.461 * [backup-simplify]: Simplify 1 into 1
2.461 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.461 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.461 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.461 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.461 * [backup-simplify]: Simplify (+ 0 0) into 0
2.461 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.461 * [taylor]: Taking taylor expansion of im in im
2.461 * [backup-simplify]: Simplify 0 into 0
2.461 * [backup-simplify]: Simplify 1 into 1
2.461 * [backup-simplify]: Simplify 0 into 0
2.461 * [taylor]: Taking taylor expansion of 0 in im
2.461 * [backup-simplify]: Simplify 0 into 0
2.461 * [backup-simplify]: Simplify 0 into 0
2.461 * [backup-simplify]: Simplify 1 into 1
2.462 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.462 * [backup-simplify]: Simplify (* 1 1) into 1
2.462 * [backup-simplify]: Simplify (+ 0 1) into 1
2.463 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.463 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
2.463 * [taylor]: Taking taylor expansion of 1/2 in im
2.463 * [backup-simplify]: Simplify 1/2 into 1/2
2.463 * [taylor]: Taking taylor expansion of im in im
2.463 * [backup-simplify]: Simplify 0 into 0
2.463 * [backup-simplify]: Simplify 1 into 1
2.463 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.464 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.464 * [backup-simplify]: Simplify 0 into 0
2.464 * [backup-simplify]: Simplify 0 into 0
2.464 * [backup-simplify]: Simplify 0 into 0
2.464 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.465 * [backup-simplify]: Simplify (+ 0 0) into 0
2.465 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.465 * [taylor]: Taking taylor expansion of 0 in im
2.465 * [backup-simplify]: Simplify 0 into 0
2.465 * [backup-simplify]: Simplify 0 into 0
2.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.466 * [backup-simplify]: Simplify 0 into 0
2.466 * [backup-simplify]: Simplify 0 into 0
2.466 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
2.466 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
2.466 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
2.466 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.466 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.466 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.466 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.466 * [taylor]: Taking taylor expansion of re in im
2.466 * [backup-simplify]: Simplify re into re
2.466 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.466 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.466 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.466 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.466 * [taylor]: Taking taylor expansion of im in im
2.467 * [backup-simplify]: Simplify 0 into 0
2.467 * [backup-simplify]: Simplify 1 into 1
2.467 * [backup-simplify]: Simplify (* 1 1) into 1
2.467 * [backup-simplify]: Simplify (/ 1 1) into 1
2.467 * [backup-simplify]: Simplify (+ 0 1) into 1
2.467 * [backup-simplify]: Simplify (sqrt 1) into 1
2.468 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.469 * [backup-simplify]: Simplify (+ 0 0) into 0
2.469 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.469 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.469 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.469 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.469 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.469 * [taylor]: Taking taylor expansion of re in re
2.469 * [backup-simplify]: Simplify 0 into 0
2.469 * [backup-simplify]: Simplify 1 into 1
2.469 * [backup-simplify]: Simplify (* 1 1) into 1
2.470 * [backup-simplify]: Simplify (/ 1 1) into 1
2.470 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.470 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.470 * [taylor]: Taking taylor expansion of im in re
2.470 * [backup-simplify]: Simplify im into im
2.470 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.470 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.470 * [backup-simplify]: Simplify (+ 1 0) into 1
2.470 * [backup-simplify]: Simplify (sqrt 1) into 1
2.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.471 * [backup-simplify]: Simplify (+ 0 0) into 0
2.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.472 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.472 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.472 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.472 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.472 * [taylor]: Taking taylor expansion of re in re
2.472 * [backup-simplify]: Simplify 0 into 0
2.472 * [backup-simplify]: Simplify 1 into 1
2.472 * [backup-simplify]: Simplify (* 1 1) into 1
2.472 * [backup-simplify]: Simplify (/ 1 1) into 1
2.472 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.472 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.472 * [taylor]: Taking taylor expansion of im in re
2.472 * [backup-simplify]: Simplify im into im
2.472 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.473 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.473 * [backup-simplify]: Simplify (+ 1 0) into 1
2.473 * [backup-simplify]: Simplify (sqrt 1) into 1
2.473 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.474 * [backup-simplify]: Simplify (+ 0 0) into 0
2.474 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.475 * [taylor]: Taking taylor expansion of 1 in im
2.475 * [backup-simplify]: Simplify 1 into 1
2.475 * [taylor]: Taking taylor expansion of 0 in im
2.475 * [backup-simplify]: Simplify 0 into 0
2.475 * [backup-simplify]: Simplify 1 into 1
2.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.476 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.477 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.477 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.477 * [taylor]: Taking taylor expansion of 1/2 in im
2.477 * [backup-simplify]: Simplify 1/2 into 1/2
2.477 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.477 * [taylor]: Taking taylor expansion of im in im
2.477 * [backup-simplify]: Simplify 0 into 0
2.477 * [backup-simplify]: Simplify 1 into 1
2.477 * [backup-simplify]: Simplify (* 1 1) into 1
2.478 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.478 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.478 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.478 * [backup-simplify]: Simplify 0 into 0
2.479 * [backup-simplify]: Simplify 0 into 0
2.479 * [backup-simplify]: Simplify 0 into 0
2.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.480 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.480 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.480 * [backup-simplify]: Simplify (+ 0 0) into 0
2.481 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.481 * [taylor]: Taking taylor expansion of 0 in im
2.481 * [backup-simplify]: Simplify 0 into 0
2.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.482 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.482 * [backup-simplify]: Simplify 0 into 0
2.482 * [backup-simplify]: Simplify 0 into 0
2.482 * [backup-simplify]: Simplify 0 into 0
2.482 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
2.482 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
2.482 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
2.482 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.482 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.482 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.482 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.483 * [taylor]: Taking taylor expansion of re in im
2.483 * [backup-simplify]: Simplify re into re
2.483 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.483 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.483 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.483 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.483 * [taylor]: Taking taylor expansion of im in im
2.483 * [backup-simplify]: Simplify 0 into 0
2.483 * [backup-simplify]: Simplify 1 into 1
2.483 * [backup-simplify]: Simplify (* 1 1) into 1
2.483 * [backup-simplify]: Simplify (/ 1 1) into 1
2.484 * [backup-simplify]: Simplify (+ 0 1) into 1
2.484 * [backup-simplify]: Simplify (sqrt 1) into 1
2.484 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.485 * [backup-simplify]: Simplify (+ 0 0) into 0
2.485 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.485 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.486 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.486 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.486 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.486 * [taylor]: Taking taylor expansion of re in re
2.486 * [backup-simplify]: Simplify 0 into 0
2.486 * [backup-simplify]: Simplify 1 into 1
2.486 * [backup-simplify]: Simplify (* 1 1) into 1
2.486 * [backup-simplify]: Simplify (/ 1 1) into 1
2.486 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.486 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.486 * [taylor]: Taking taylor expansion of im in re
2.486 * [backup-simplify]: Simplify im into im
2.486 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.486 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.487 * [backup-simplify]: Simplify (+ 1 0) into 1
2.487 * [backup-simplify]: Simplify (sqrt 1) into 1
2.487 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.488 * [backup-simplify]: Simplify (+ 0 0) into 0
2.488 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.488 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.488 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.488 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.488 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.488 * [taylor]: Taking taylor expansion of re in re
2.488 * [backup-simplify]: Simplify 0 into 0
2.488 * [backup-simplify]: Simplify 1 into 1
2.489 * [backup-simplify]: Simplify (* 1 1) into 1
2.489 * [backup-simplify]: Simplify (/ 1 1) into 1
2.489 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.489 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.489 * [taylor]: Taking taylor expansion of im in re
2.489 * [backup-simplify]: Simplify im into im
2.489 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.489 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.489 * [backup-simplify]: Simplify (+ 1 0) into 1
2.490 * [backup-simplify]: Simplify (sqrt 1) into 1
2.490 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.491 * [backup-simplify]: Simplify (+ 0 0) into 0
2.491 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.491 * [taylor]: Taking taylor expansion of 1 in im
2.491 * [backup-simplify]: Simplify 1 into 1
2.491 * [taylor]: Taking taylor expansion of 0 in im
2.491 * [backup-simplify]: Simplify 0 into 0
2.491 * [backup-simplify]: Simplify 1 into 1
2.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.492 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.493 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.493 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.493 * [taylor]: Taking taylor expansion of 1/2 in im
2.493 * [backup-simplify]: Simplify 1/2 into 1/2
2.493 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.493 * [taylor]: Taking taylor expansion of im in im
2.493 * [backup-simplify]: Simplify 0 into 0
2.493 * [backup-simplify]: Simplify 1 into 1
2.493 * [backup-simplify]: Simplify (* 1 1) into 1
2.494 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.495 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.495 * [backup-simplify]: Simplify 0 into 0
2.495 * [backup-simplify]: Simplify 0 into 0
2.495 * [backup-simplify]: Simplify 0 into 0
2.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.496 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.496 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.496 * [backup-simplify]: Simplify (+ 0 0) into 0
2.497 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.497 * [taylor]: Taking taylor expansion of 0 in im
2.497 * [backup-simplify]: Simplify 0 into 0
2.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.498 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.498 * [backup-simplify]: Simplify 0 into 0
2.498 * [backup-simplify]: Simplify 0 into 0
2.498 * [backup-simplify]: Simplify 0 into 0
2.498 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
2.498 * * * [progress]: simplifying candidates
2.500 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
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  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  (+ re im)
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  0
  im
  re
  (* -1 re)
2.502 * * [simplify]: iteration 0: 133 enodes
2.544 * * [simplify]: iteration 1: 300 enodes
2.664 * * [simplify]: iteration 2: 1111 enodes
3.307 * * [simplify]: iteration complete: 5001 enodes
3.308 * * [simplify]: Extracting #0: cost 46 inf + 0
3.310 * * [simplify]: Extracting #1: cost 865 inf + 47
3.314 * * [simplify]: Extracting #2: cost 1581 inf + 1191
3.344 * * [simplify]: Extracting #3: cost 1242 inf + 115788
3.461 * * [simplify]: Extracting #4: cost 279 inf + 395202
3.630 * * [simplify]: Extracting #5: cost 28 inf + 478041
3.742 * * [simplify]: Extracting #6: cost 20 inf + 480891
3.914 * * [simplify]: Extracting #7: cost 6 inf + 482905
4.038 * * [simplify]: Extracting #8: cost 0 inf + 484663
4.162 * [simplify]: Simplified to:
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  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (sqrt (+ (* re re) (* im im)))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im)))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im)))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im))))))
  im
  re
  (- re)
  im
  re
  (- re)
  (+ re im)
  (* re 2)
  0
  im
  re
  (- re)
4.188 * * * [progress]: adding candidates to table
4.763 * * [progress]: iteration 3 / 4
4.763 * * * [progress]: picking best candidate
4.816 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))>
4.816 * * * [progress]: localizing error
4.904 * * * [progress]: generating rewritten candidates
4.904 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1 1 2 1)
4.917 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2 1 1 1 1)
4.929 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 2 1 1 2 1)
4.941 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 2 1 1 1 1)
4.955 * * * [progress]: generating series expansions
4.955 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1 1 2 1)
4.956 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
4.956 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
4.956 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
4.956 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
4.956 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.956 * [taylor]: Taking taylor expansion of im in im
4.956 * [backup-simplify]: Simplify 0 into 0
4.956 * [backup-simplify]: Simplify 1 into 1
4.956 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.956 * [taylor]: Taking taylor expansion of re in im
4.956 * [backup-simplify]: Simplify re into re
4.956 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.956 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
4.956 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.956 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.957 * [backup-simplify]: Simplify (+ 0 0) into 0
4.957 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.957 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
4.957 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
4.957 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.957 * [taylor]: Taking taylor expansion of im in re
4.957 * [backup-simplify]: Simplify im into im
4.957 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.957 * [taylor]: Taking taylor expansion of re in re
4.957 * [backup-simplify]: Simplify 0 into 0
4.957 * [backup-simplify]: Simplify 1 into 1
4.958 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.958 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
4.958 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.958 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.958 * [backup-simplify]: Simplify (+ 0 0) into 0
4.959 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.959 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
4.959 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
4.959 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.959 * [taylor]: Taking taylor expansion of im in re
4.959 * [backup-simplify]: Simplify im into im
4.959 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.959 * [taylor]: Taking taylor expansion of re in re
4.959 * [backup-simplify]: Simplify 0 into 0
4.959 * [backup-simplify]: Simplify 1 into 1
4.959 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.959 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
4.959 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.959 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.960 * [backup-simplify]: Simplify (+ 0 0) into 0
4.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.960 * [taylor]: Taking taylor expansion of im in im
4.960 * [backup-simplify]: Simplify 0 into 0
4.960 * [backup-simplify]: Simplify 1 into 1
4.960 * [backup-simplify]: Simplify 0 into 0
4.960 * [taylor]: Taking taylor expansion of 0 in im
4.960 * [backup-simplify]: Simplify 0 into 0
4.960 * [backup-simplify]: Simplify 0 into 0
4.960 * [backup-simplify]: Simplify 1 into 1
4.961 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.961 * [backup-simplify]: Simplify (* 1 1) into 1
4.962 * [backup-simplify]: Simplify (+ 0 1) into 1
4.962 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
4.962 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
4.962 * [taylor]: Taking taylor expansion of 1/2 in im
4.962 * [backup-simplify]: Simplify 1/2 into 1/2
4.962 * [taylor]: Taking taylor expansion of im in im
4.962 * [backup-simplify]: Simplify 0 into 0
4.963 * [backup-simplify]: Simplify 1 into 1
4.963 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.964 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.964 * [backup-simplify]: Simplify 0 into 0
4.964 * [backup-simplify]: Simplify 0 into 0
4.964 * [backup-simplify]: Simplify 0 into 0
4.965 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.965 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.966 * [backup-simplify]: Simplify (+ 0 0) into 0
4.966 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
4.966 * [taylor]: Taking taylor expansion of 0 in im
4.966 * [backup-simplify]: Simplify 0 into 0
4.966 * [backup-simplify]: Simplify 0 into 0
4.967 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.967 * [backup-simplify]: Simplify 0 into 0
4.967 * [backup-simplify]: Simplify 0 into 0
4.967 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
4.968 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
4.968 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
4.968 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
4.968 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
4.968 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.968 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.968 * [taylor]: Taking taylor expansion of re in im
4.968 * [backup-simplify]: Simplify re into re
4.968 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.968 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.968 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.968 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.968 * [taylor]: Taking taylor expansion of im in im
4.968 * [backup-simplify]: Simplify 0 into 0
4.968 * [backup-simplify]: Simplify 1 into 1
4.969 * [backup-simplify]: Simplify (* 1 1) into 1
4.969 * [backup-simplify]: Simplify (/ 1 1) into 1
4.970 * [backup-simplify]: Simplify (+ 0 1) into 1
4.970 * [backup-simplify]: Simplify (sqrt 1) into 1
4.971 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.972 * [backup-simplify]: Simplify (+ 0 0) into 0
4.976 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.976 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
4.976 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
4.976 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.976 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.976 * [taylor]: Taking taylor expansion of re in re
4.976 * [backup-simplify]: Simplify 0 into 0
4.976 * [backup-simplify]: Simplify 1 into 1
4.977 * [backup-simplify]: Simplify (* 1 1) into 1
4.977 * [backup-simplify]: Simplify (/ 1 1) into 1
4.977 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.977 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.977 * [taylor]: Taking taylor expansion of im in re
4.977 * [backup-simplify]: Simplify im into im
4.977 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.977 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.978 * [backup-simplify]: Simplify (+ 1 0) into 1
4.978 * [backup-simplify]: Simplify (sqrt 1) into 1
4.979 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.980 * [backup-simplify]: Simplify (+ 0 0) into 0
4.981 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.981 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
4.981 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
4.981 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.981 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.981 * [taylor]: Taking taylor expansion of re in re
4.981 * [backup-simplify]: Simplify 0 into 0
4.981 * [backup-simplify]: Simplify 1 into 1
4.981 * [backup-simplify]: Simplify (* 1 1) into 1
4.982 * [backup-simplify]: Simplify (/ 1 1) into 1
4.982 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.982 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.982 * [taylor]: Taking taylor expansion of im in re
4.982 * [backup-simplify]: Simplify im into im
4.982 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.982 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.983 * [backup-simplify]: Simplify (+ 1 0) into 1
4.983 * [backup-simplify]: Simplify (sqrt 1) into 1
4.984 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.985 * [backup-simplify]: Simplify (+ 0 0) into 0
4.986 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.986 * [taylor]: Taking taylor expansion of 1 in im
4.986 * [backup-simplify]: Simplify 1 into 1
4.986 * [taylor]: Taking taylor expansion of 0 in im
4.986 * [backup-simplify]: Simplify 0 into 0
4.986 * [backup-simplify]: Simplify 1 into 1
4.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.988 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
4.990 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
4.990 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
4.990 * [taylor]: Taking taylor expansion of 1/2 in im
4.990 * [backup-simplify]: Simplify 1/2 into 1/2
4.990 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.990 * [taylor]: Taking taylor expansion of im in im
4.990 * [backup-simplify]: Simplify 0 into 0
4.990 * [backup-simplify]: Simplify 1 into 1
4.990 * [backup-simplify]: Simplify (* 1 1) into 1
4.991 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.991 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.992 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.992 * [backup-simplify]: Simplify 0 into 0
4.992 * [backup-simplify]: Simplify 0 into 0
4.992 * [backup-simplify]: Simplify 0 into 0
4.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.994 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.995 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
4.995 * [backup-simplify]: Simplify (+ 0 0) into 0
4.996 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
4.996 * [taylor]: Taking taylor expansion of 0 in im
4.996 * [backup-simplify]: Simplify 0 into 0
4.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.998 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.998 * [backup-simplify]: Simplify 0 into 0
4.998 * [backup-simplify]: Simplify 0 into 0
4.998 * [backup-simplify]: Simplify 0 into 0
4.998 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
4.999 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
4.999 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
4.999 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
4.999 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
4.999 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.999 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.999 * [taylor]: Taking taylor expansion of re in im
4.999 * [backup-simplify]: Simplify re into re
4.999 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.999 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.999 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.999 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.999 * [taylor]: Taking taylor expansion of im in im
4.999 * [backup-simplify]: Simplify 0 into 0
4.999 * [backup-simplify]: Simplify 1 into 1
5.000 * [backup-simplify]: Simplify (* 1 1) into 1
5.000 * [backup-simplify]: Simplify (/ 1 1) into 1
5.000 * [backup-simplify]: Simplify (+ 0 1) into 1
5.001 * [backup-simplify]: Simplify (sqrt 1) into 1
5.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.003 * [backup-simplify]: Simplify (+ 0 0) into 0
5.003 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.003 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.003 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.003 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.003 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.003 * [taylor]: Taking taylor expansion of re in re
5.003 * [backup-simplify]: Simplify 0 into 0
5.003 * [backup-simplify]: Simplify 1 into 1
5.004 * [backup-simplify]: Simplify (* 1 1) into 1
5.004 * [backup-simplify]: Simplify (/ 1 1) into 1
5.004 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.004 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.004 * [taylor]: Taking taylor expansion of im in re
5.004 * [backup-simplify]: Simplify im into im
5.004 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.004 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.005 * [backup-simplify]: Simplify (+ 1 0) into 1
5.005 * [backup-simplify]: Simplify (sqrt 1) into 1
5.006 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.007 * [backup-simplify]: Simplify (+ 0 0) into 0
5.008 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.008 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.008 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.008 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.008 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.008 * [taylor]: Taking taylor expansion of re in re
5.008 * [backup-simplify]: Simplify 0 into 0
5.008 * [backup-simplify]: Simplify 1 into 1
5.008 * [backup-simplify]: Simplify (* 1 1) into 1
5.009 * [backup-simplify]: Simplify (/ 1 1) into 1
5.009 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.009 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.009 * [taylor]: Taking taylor expansion of im in re
5.009 * [backup-simplify]: Simplify im into im
5.009 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.009 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.010 * [backup-simplify]: Simplify (+ 1 0) into 1
5.010 * [backup-simplify]: Simplify (sqrt 1) into 1
5.011 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.012 * [backup-simplify]: Simplify (+ 0 0) into 0
5.012 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.013 * [taylor]: Taking taylor expansion of 1 in im
5.013 * [backup-simplify]: Simplify 1 into 1
5.013 * [taylor]: Taking taylor expansion of 0 in im
5.013 * [backup-simplify]: Simplify 0 into 0
5.013 * [backup-simplify]: Simplify 1 into 1
5.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.015 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.016 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.016 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.016 * [taylor]: Taking taylor expansion of 1/2 in im
5.016 * [backup-simplify]: Simplify 1/2 into 1/2
5.016 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.016 * [taylor]: Taking taylor expansion of im in im
5.016 * [backup-simplify]: Simplify 0 into 0
5.016 * [backup-simplify]: Simplify 1 into 1
5.017 * [backup-simplify]: Simplify (* 1 1) into 1
5.017 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.018 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.019 * [backup-simplify]: Simplify 0 into 0
5.019 * [backup-simplify]: Simplify 0 into 0
5.019 * [backup-simplify]: Simplify 0 into 0
5.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.021 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.021 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.022 * [backup-simplify]: Simplify (+ 0 0) into 0
5.023 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.023 * [taylor]: Taking taylor expansion of 0 in im
5.023 * [backup-simplify]: Simplify 0 into 0
5.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.025 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.025 * [backup-simplify]: Simplify 0 into 0
5.025 * [backup-simplify]: Simplify 0 into 0
5.025 * [backup-simplify]: Simplify 0 into 0
5.025 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
5.025 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2 1 1 1 1)
5.025 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
5.025 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
5.025 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
5.025 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
5.025 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.025 * [taylor]: Taking taylor expansion of im in im
5.025 * [backup-simplify]: Simplify 0 into 0
5.025 * [backup-simplify]: Simplify 1 into 1
5.026 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.026 * [taylor]: Taking taylor expansion of re in im
5.026 * [backup-simplify]: Simplify re into re
5.026 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.026 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
5.026 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.026 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.026 * [backup-simplify]: Simplify (+ 0 0) into 0
5.027 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.027 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
5.027 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
5.027 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.027 * [taylor]: Taking taylor expansion of im in re
5.027 * [backup-simplify]: Simplify im into im
5.027 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.027 * [taylor]: Taking taylor expansion of re in re
5.027 * [backup-simplify]: Simplify 0 into 0
5.027 * [backup-simplify]: Simplify 1 into 1
5.027 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.027 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
5.027 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.027 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.028 * [backup-simplify]: Simplify (+ 0 0) into 0
5.028 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.028 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
5.028 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
5.028 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.028 * [taylor]: Taking taylor expansion of im in re
5.028 * [backup-simplify]: Simplify im into im
5.028 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.028 * [taylor]: Taking taylor expansion of re in re
5.028 * [backup-simplify]: Simplify 0 into 0
5.028 * [backup-simplify]: Simplify 1 into 1
5.028 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.028 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
5.029 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.029 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.029 * [backup-simplify]: Simplify (+ 0 0) into 0
5.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.029 * [taylor]: Taking taylor expansion of im in im
5.029 * [backup-simplify]: Simplify 0 into 0
5.029 * [backup-simplify]: Simplify 1 into 1
5.029 * [backup-simplify]: Simplify 0 into 0
5.029 * [taylor]: Taking taylor expansion of 0 in im
5.030 * [backup-simplify]: Simplify 0 into 0
5.030 * [backup-simplify]: Simplify 0 into 0
5.030 * [backup-simplify]: Simplify 1 into 1
5.030 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.030 * [backup-simplify]: Simplify (* 1 1) into 1
5.031 * [backup-simplify]: Simplify (+ 0 1) into 1
5.032 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
5.032 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
5.032 * [taylor]: Taking taylor expansion of 1/2 in im
5.032 * [backup-simplify]: Simplify 1/2 into 1/2
5.032 * [taylor]: Taking taylor expansion of im in im
5.032 * [backup-simplify]: Simplify 0 into 0
5.032 * [backup-simplify]: Simplify 1 into 1
5.032 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.033 * [backup-simplify]: Simplify 0 into 0
5.033 * [backup-simplify]: Simplify 0 into 0
5.033 * [backup-simplify]: Simplify 0 into 0
5.034 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
5.035 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.035 * [backup-simplify]: Simplify (+ 0 0) into 0
5.035 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
5.035 * [taylor]: Taking taylor expansion of 0 in im
5.035 * [backup-simplify]: Simplify 0 into 0
5.035 * [backup-simplify]: Simplify 0 into 0
5.037 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.037 * [backup-simplify]: Simplify 0 into 0
5.037 * [backup-simplify]: Simplify 0 into 0
5.037 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
5.037 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
5.037 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
5.037 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.037 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.037 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.037 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.037 * [taylor]: Taking taylor expansion of re in im
5.037 * [backup-simplify]: Simplify re into re
5.037 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.037 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.038 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.038 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.038 * [taylor]: Taking taylor expansion of im in im
5.038 * [backup-simplify]: Simplify 0 into 0
5.038 * [backup-simplify]: Simplify 1 into 1
5.038 * [backup-simplify]: Simplify (* 1 1) into 1
5.039 * [backup-simplify]: Simplify (/ 1 1) into 1
5.039 * [backup-simplify]: Simplify (+ 0 1) into 1
5.040 * [backup-simplify]: Simplify (sqrt 1) into 1
5.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.041 * [backup-simplify]: Simplify (+ 0 0) into 0
5.042 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.042 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.042 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.042 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.042 * [taylor]: Taking taylor expansion of re in re
5.042 * [backup-simplify]: Simplify 0 into 0
5.042 * [backup-simplify]: Simplify 1 into 1
5.043 * [backup-simplify]: Simplify (* 1 1) into 1
5.043 * [backup-simplify]: Simplify (/ 1 1) into 1
5.043 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.043 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.043 * [taylor]: Taking taylor expansion of im in re
5.043 * [backup-simplify]: Simplify im into im
5.043 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.043 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.044 * [backup-simplify]: Simplify (+ 1 0) into 1
5.044 * [backup-simplify]: Simplify (sqrt 1) into 1
5.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.046 * [backup-simplify]: Simplify (+ 0 0) into 0
5.047 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.047 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.047 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.047 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.047 * [taylor]: Taking taylor expansion of re in re
5.047 * [backup-simplify]: Simplify 0 into 0
5.047 * [backup-simplify]: Simplify 1 into 1
5.047 * [backup-simplify]: Simplify (* 1 1) into 1
5.048 * [backup-simplify]: Simplify (/ 1 1) into 1
5.048 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.048 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.048 * [taylor]: Taking taylor expansion of im in re
5.048 * [backup-simplify]: Simplify im into im
5.048 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.048 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.049 * [backup-simplify]: Simplify (+ 1 0) into 1
5.049 * [backup-simplify]: Simplify (sqrt 1) into 1
5.050 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.051 * [backup-simplify]: Simplify (+ 0 0) into 0
5.052 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.052 * [taylor]: Taking taylor expansion of 1 in im
5.052 * [backup-simplify]: Simplify 1 into 1
5.052 * [taylor]: Taking taylor expansion of 0 in im
5.052 * [backup-simplify]: Simplify 0 into 0
5.052 * [backup-simplify]: Simplify 1 into 1
5.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.054 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.055 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.055 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.055 * [taylor]: Taking taylor expansion of 1/2 in im
5.055 * [backup-simplify]: Simplify 1/2 into 1/2
5.055 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.055 * [taylor]: Taking taylor expansion of im in im
5.055 * [backup-simplify]: Simplify 0 into 0
5.055 * [backup-simplify]: Simplify 1 into 1
5.056 * [backup-simplify]: Simplify (* 1 1) into 1
5.056 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.057 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.058 * [backup-simplify]: Simplify 0 into 0
5.058 * [backup-simplify]: Simplify 0 into 0
5.058 * [backup-simplify]: Simplify 0 into 0
5.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.060 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.060 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.061 * [backup-simplify]: Simplify (+ 0 0) into 0
5.061 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.061 * [taylor]: Taking taylor expansion of 0 in im
5.061 * [backup-simplify]: Simplify 0 into 0
5.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.063 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.063 * [backup-simplify]: Simplify 0 into 0
5.063 * [backup-simplify]: Simplify 0 into 0
5.064 * [backup-simplify]: Simplify 0 into 0
5.064 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
5.064 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
5.064 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
5.064 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.064 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.064 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.064 * [taylor]: Taking taylor expansion of re in im
5.064 * [backup-simplify]: Simplify re into re
5.064 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.064 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.065 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.065 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.065 * [taylor]: Taking taylor expansion of im in im
5.065 * [backup-simplify]: Simplify 0 into 0
5.065 * [backup-simplify]: Simplify 1 into 1
5.065 * [backup-simplify]: Simplify (* 1 1) into 1
5.065 * [backup-simplify]: Simplify (/ 1 1) into 1
5.066 * [backup-simplify]: Simplify (+ 0 1) into 1
5.066 * [backup-simplify]: Simplify (sqrt 1) into 1
5.067 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.068 * [backup-simplify]: Simplify (+ 0 0) into 0
5.069 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.069 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.069 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.069 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.069 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.069 * [taylor]: Taking taylor expansion of re in re
5.069 * [backup-simplify]: Simplify 0 into 0
5.069 * [backup-simplify]: Simplify 1 into 1
5.070 * [backup-simplify]: Simplify (* 1 1) into 1
5.070 * [backup-simplify]: Simplify (/ 1 1) into 1
5.070 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.070 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.070 * [taylor]: Taking taylor expansion of im in re
5.070 * [backup-simplify]: Simplify im into im
5.070 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.070 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.071 * [backup-simplify]: Simplify (+ 1 0) into 1
5.071 * [backup-simplify]: Simplify (sqrt 1) into 1
5.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.073 * [backup-simplify]: Simplify (+ 0 0) into 0
5.074 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.074 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.074 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.074 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.074 * [taylor]: Taking taylor expansion of re in re
5.074 * [backup-simplify]: Simplify 0 into 0
5.074 * [backup-simplify]: Simplify 1 into 1
5.074 * [backup-simplify]: Simplify (* 1 1) into 1
5.075 * [backup-simplify]: Simplify (/ 1 1) into 1
5.075 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.075 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.075 * [taylor]: Taking taylor expansion of im in re
5.075 * [backup-simplify]: Simplify im into im
5.075 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.075 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.075 * [backup-simplify]: Simplify (+ 1 0) into 1
5.076 * [backup-simplify]: Simplify (sqrt 1) into 1
5.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.078 * [backup-simplify]: Simplify (+ 0 0) into 0
5.078 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.078 * [taylor]: Taking taylor expansion of 1 in im
5.078 * [backup-simplify]: Simplify 1 into 1
5.078 * [taylor]: Taking taylor expansion of 0 in im
5.078 * [backup-simplify]: Simplify 0 into 0
5.079 * [backup-simplify]: Simplify 1 into 1
5.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.080 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.081 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.081 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.081 * [taylor]: Taking taylor expansion of 1/2 in im
5.081 * [backup-simplify]: Simplify 1/2 into 1/2
5.081 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.081 * [taylor]: Taking taylor expansion of im in im
5.081 * [backup-simplify]: Simplify 0 into 0
5.081 * [backup-simplify]: Simplify 1 into 1
5.081 * [backup-simplify]: Simplify (* 1 1) into 1
5.081 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.082 * [backup-simplify]: Simplify 0 into 0
5.082 * [backup-simplify]: Simplify 0 into 0
5.082 * [backup-simplify]: Simplify 0 into 0
5.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.083 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.083 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.084 * [backup-simplify]: Simplify (+ 0 0) into 0
5.084 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.084 * [taylor]: Taking taylor expansion of 0 in im
5.084 * [backup-simplify]: Simplify 0 into 0
5.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.085 * [backup-simplify]: Simplify 0 into 0
5.085 * [backup-simplify]: Simplify 0 into 0
5.085 * [backup-simplify]: Simplify 0 into 0
5.085 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
5.085 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 2 1 1 2 1)
5.086 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
5.086 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
5.086 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
5.086 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
5.086 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.086 * [taylor]: Taking taylor expansion of im in im
5.086 * [backup-simplify]: Simplify 0 into 0
5.086 * [backup-simplify]: Simplify 1 into 1
5.086 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.086 * [taylor]: Taking taylor expansion of re in im
5.086 * [backup-simplify]: Simplify re into re
5.086 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.086 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
5.086 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.086 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.086 * [backup-simplify]: Simplify (+ 0 0) into 0
5.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.086 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
5.086 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
5.086 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.086 * [taylor]: Taking taylor expansion of im in re
5.086 * [backup-simplify]: Simplify im into im
5.086 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.086 * [taylor]: Taking taylor expansion of re in re
5.087 * [backup-simplify]: Simplify 0 into 0
5.087 * [backup-simplify]: Simplify 1 into 1
5.087 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.087 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
5.087 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.087 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.087 * [backup-simplify]: Simplify (+ 0 0) into 0
5.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.087 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
5.087 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
5.087 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.087 * [taylor]: Taking taylor expansion of im in re
5.087 * [backup-simplify]: Simplify im into im
5.087 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.087 * [taylor]: Taking taylor expansion of re in re
5.087 * [backup-simplify]: Simplify 0 into 0
5.087 * [backup-simplify]: Simplify 1 into 1
5.087 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.087 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
5.087 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.088 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.088 * [backup-simplify]: Simplify (+ 0 0) into 0
5.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.088 * [taylor]: Taking taylor expansion of im in im
5.088 * [backup-simplify]: Simplify 0 into 0
5.088 * [backup-simplify]: Simplify 1 into 1
5.088 * [backup-simplify]: Simplify 0 into 0
5.088 * [taylor]: Taking taylor expansion of 0 in im
5.088 * [backup-simplify]: Simplify 0 into 0
5.088 * [backup-simplify]: Simplify 0 into 0
5.088 * [backup-simplify]: Simplify 1 into 1
5.088 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.089 * [backup-simplify]: Simplify (* 1 1) into 1
5.089 * [backup-simplify]: Simplify (+ 0 1) into 1
5.089 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
5.090 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
5.090 * [taylor]: Taking taylor expansion of 1/2 in im
5.090 * [backup-simplify]: Simplify 1/2 into 1/2
5.090 * [taylor]: Taking taylor expansion of im in im
5.090 * [backup-simplify]: Simplify 0 into 0
5.090 * [backup-simplify]: Simplify 1 into 1
5.090 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.090 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.090 * [backup-simplify]: Simplify 0 into 0
5.090 * [backup-simplify]: Simplify 0 into 0
5.090 * [backup-simplify]: Simplify 0 into 0
5.091 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
5.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.092 * [backup-simplify]: Simplify (+ 0 0) into 0
5.092 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
5.092 * [taylor]: Taking taylor expansion of 0 in im
5.092 * [backup-simplify]: Simplify 0 into 0
5.092 * [backup-simplify]: Simplify 0 into 0
5.092 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.092 * [backup-simplify]: Simplify 0 into 0
5.092 * [backup-simplify]: Simplify 0 into 0
5.092 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
5.093 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
5.093 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
5.093 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.093 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.093 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.093 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.093 * [taylor]: Taking taylor expansion of re in im
5.093 * [backup-simplify]: Simplify re into re
5.093 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.093 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.093 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.093 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.093 * [taylor]: Taking taylor expansion of im in im
5.093 * [backup-simplify]: Simplify 0 into 0
5.093 * [backup-simplify]: Simplify 1 into 1
5.093 * [backup-simplify]: Simplify (* 1 1) into 1
5.093 * [backup-simplify]: Simplify (/ 1 1) into 1
5.094 * [backup-simplify]: Simplify (+ 0 1) into 1
5.094 * [backup-simplify]: Simplify (sqrt 1) into 1
5.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.095 * [backup-simplify]: Simplify (+ 0 0) into 0
5.095 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.095 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.096 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.096 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.096 * [taylor]: Taking taylor expansion of re in re
5.096 * [backup-simplify]: Simplify 0 into 0
5.096 * [backup-simplify]: Simplify 1 into 1
5.096 * [backup-simplify]: Simplify (* 1 1) into 1
5.096 * [backup-simplify]: Simplify (/ 1 1) into 1
5.096 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.096 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.096 * [taylor]: Taking taylor expansion of im in re
5.096 * [backup-simplify]: Simplify im into im
5.096 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.096 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.097 * [backup-simplify]: Simplify (+ 1 0) into 1
5.097 * [backup-simplify]: Simplify (sqrt 1) into 1
5.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.098 * [backup-simplify]: Simplify (+ 0 0) into 0
5.098 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.098 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.098 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.098 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.098 * [taylor]: Taking taylor expansion of re in re
5.098 * [backup-simplify]: Simplify 0 into 0
5.098 * [backup-simplify]: Simplify 1 into 1
5.099 * [backup-simplify]: Simplify (* 1 1) into 1
5.099 * [backup-simplify]: Simplify (/ 1 1) into 1
5.099 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.099 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.099 * [taylor]: Taking taylor expansion of im in re
5.099 * [backup-simplify]: Simplify im into im
5.099 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.099 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.099 * [backup-simplify]: Simplify (+ 1 0) into 1
5.100 * [backup-simplify]: Simplify (sqrt 1) into 1
5.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.101 * [backup-simplify]: Simplify (+ 0 0) into 0
5.101 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.101 * [taylor]: Taking taylor expansion of 1 in im
5.101 * [backup-simplify]: Simplify 1 into 1
5.101 * [taylor]: Taking taylor expansion of 0 in im
5.101 * [backup-simplify]: Simplify 0 into 0
5.101 * [backup-simplify]: Simplify 1 into 1
5.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.102 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.103 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.103 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.103 * [taylor]: Taking taylor expansion of 1/2 in im
5.103 * [backup-simplify]: Simplify 1/2 into 1/2
5.103 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.103 * [taylor]: Taking taylor expansion of im in im
5.103 * [backup-simplify]: Simplify 0 into 0
5.103 * [backup-simplify]: Simplify 1 into 1
5.103 * [backup-simplify]: Simplify (* 1 1) into 1
5.104 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.105 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.105 * [backup-simplify]: Simplify 0 into 0
5.105 * [backup-simplify]: Simplify 0 into 0
5.105 * [backup-simplify]: Simplify 0 into 0
5.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.106 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.106 * [backup-simplify]: Simplify (+ 0 0) into 0
5.107 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.107 * [taylor]: Taking taylor expansion of 0 in im
5.107 * [backup-simplify]: Simplify 0 into 0
5.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.112 * [backup-simplify]: Simplify 0 into 0
5.112 * [backup-simplify]: Simplify 0 into 0
5.112 * [backup-simplify]: Simplify 0 into 0
5.112 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
5.113 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
5.113 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
5.113 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.113 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.113 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.113 * [taylor]: Taking taylor expansion of re in im
5.113 * [backup-simplify]: Simplify re into re
5.113 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.113 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.113 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.113 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.113 * [taylor]: Taking taylor expansion of im in im
5.113 * [backup-simplify]: Simplify 0 into 0
5.113 * [backup-simplify]: Simplify 1 into 1
5.114 * [backup-simplify]: Simplify (* 1 1) into 1
5.114 * [backup-simplify]: Simplify (/ 1 1) into 1
5.114 * [backup-simplify]: Simplify (+ 0 1) into 1
5.115 * [backup-simplify]: Simplify (sqrt 1) into 1
5.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.117 * [backup-simplify]: Simplify (+ 0 0) into 0
5.117 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.117 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.117 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.117 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.117 * [taylor]: Taking taylor expansion of re in re
5.117 * [backup-simplify]: Simplify 0 into 0
5.117 * [backup-simplify]: Simplify 1 into 1
5.118 * [backup-simplify]: Simplify (* 1 1) into 1
5.118 * [backup-simplify]: Simplify (/ 1 1) into 1
5.118 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.118 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.118 * [taylor]: Taking taylor expansion of im in re
5.118 * [backup-simplify]: Simplify im into im
5.118 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.119 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.119 * [backup-simplify]: Simplify (+ 1 0) into 1
5.119 * [backup-simplify]: Simplify (sqrt 1) into 1
5.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.121 * [backup-simplify]: Simplify (+ 0 0) into 0
5.122 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.122 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.122 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.122 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.122 * [taylor]: Taking taylor expansion of re in re
5.122 * [backup-simplify]: Simplify 0 into 0
5.122 * [backup-simplify]: Simplify 1 into 1
5.123 * [backup-simplify]: Simplify (* 1 1) into 1
5.123 * [backup-simplify]: Simplify (/ 1 1) into 1
5.123 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.123 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.123 * [taylor]: Taking taylor expansion of im in re
5.123 * [backup-simplify]: Simplify im into im
5.123 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.123 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.124 * [backup-simplify]: Simplify (+ 1 0) into 1
5.124 * [backup-simplify]: Simplify (sqrt 1) into 1
5.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.126 * [backup-simplify]: Simplify (+ 0 0) into 0
5.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.127 * [taylor]: Taking taylor expansion of 1 in im
5.127 * [backup-simplify]: Simplify 1 into 1
5.127 * [taylor]: Taking taylor expansion of 0 in im
5.127 * [backup-simplify]: Simplify 0 into 0
5.127 * [backup-simplify]: Simplify 1 into 1
5.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.129 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.130 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.130 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.130 * [taylor]: Taking taylor expansion of 1/2 in im
5.130 * [backup-simplify]: Simplify 1/2 into 1/2
5.130 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.130 * [taylor]: Taking taylor expansion of im in im
5.130 * [backup-simplify]: Simplify 0 into 0
5.130 * [backup-simplify]: Simplify 1 into 1
5.131 * [backup-simplify]: Simplify (* 1 1) into 1
5.131 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.133 * [backup-simplify]: Simplify 0 into 0
5.133 * [backup-simplify]: Simplify 0 into 0
5.133 * [backup-simplify]: Simplify 0 into 0
5.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.135 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.135 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.136 * [backup-simplify]: Simplify (+ 0 0) into 0
5.136 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.136 * [taylor]: Taking taylor expansion of 0 in im
5.136 * [backup-simplify]: Simplify 0 into 0
5.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.138 * [backup-simplify]: Simplify 0 into 0
5.138 * [backup-simplify]: Simplify 0 into 0
5.138 * [backup-simplify]: Simplify 0 into 0
5.139 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
5.139 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 2 1 1 1 1)
5.139 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
5.139 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
5.139 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
5.139 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
5.139 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.139 * [taylor]: Taking taylor expansion of im in im
5.139 * [backup-simplify]: Simplify 0 into 0
5.139 * [backup-simplify]: Simplify 1 into 1
5.139 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.139 * [taylor]: Taking taylor expansion of re in im
5.139 * [backup-simplify]: Simplify re into re
5.140 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.140 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
5.140 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.140 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.140 * [backup-simplify]: Simplify (+ 0 0) into 0
5.141 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.141 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
5.141 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
5.141 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.141 * [taylor]: Taking taylor expansion of im in re
5.141 * [backup-simplify]: Simplify im into im
5.141 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.141 * [taylor]: Taking taylor expansion of re in re
5.141 * [backup-simplify]: Simplify 0 into 0
5.141 * [backup-simplify]: Simplify 1 into 1
5.141 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.141 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
5.141 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.141 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.142 * [backup-simplify]: Simplify (+ 0 0) into 0
5.142 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.142 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
5.142 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
5.142 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.142 * [taylor]: Taking taylor expansion of im in re
5.142 * [backup-simplify]: Simplify im into im
5.142 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.142 * [taylor]: Taking taylor expansion of re in re
5.142 * [backup-simplify]: Simplify 0 into 0
5.142 * [backup-simplify]: Simplify 1 into 1
5.142 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.142 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
5.142 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.143 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.143 * [backup-simplify]: Simplify (+ 0 0) into 0
5.143 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.143 * [taylor]: Taking taylor expansion of im in im
5.143 * [backup-simplify]: Simplify 0 into 0
5.143 * [backup-simplify]: Simplify 1 into 1
5.143 * [backup-simplify]: Simplify 0 into 0
5.143 * [taylor]: Taking taylor expansion of 0 in im
5.143 * [backup-simplify]: Simplify 0 into 0
5.143 * [backup-simplify]: Simplify 0 into 0
5.143 * [backup-simplify]: Simplify 1 into 1
5.144 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.144 * [backup-simplify]: Simplify (* 1 1) into 1
5.145 * [backup-simplify]: Simplify (+ 0 1) into 1
5.146 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
5.146 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
5.146 * [taylor]: Taking taylor expansion of 1/2 in im
5.146 * [backup-simplify]: Simplify 1/2 into 1/2
5.146 * [taylor]: Taking taylor expansion of im in im
5.146 * [backup-simplify]: Simplify 0 into 0
5.146 * [backup-simplify]: Simplify 1 into 1
5.146 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.147 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.147 * [backup-simplify]: Simplify 0 into 0
5.147 * [backup-simplify]: Simplify 0 into 0
5.147 * [backup-simplify]: Simplify 0 into 0
5.148 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
5.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.149 * [backup-simplify]: Simplify (+ 0 0) into 0
5.149 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
5.149 * [taylor]: Taking taylor expansion of 0 in im
5.149 * [backup-simplify]: Simplify 0 into 0
5.149 * [backup-simplify]: Simplify 0 into 0
5.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.150 * [backup-simplify]: Simplify 0 into 0
5.150 * [backup-simplify]: Simplify 0 into 0
5.150 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
5.151 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
5.151 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
5.151 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.151 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.151 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.151 * [taylor]: Taking taylor expansion of re in im
5.151 * [backup-simplify]: Simplify re into re
5.151 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.151 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.151 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.151 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.151 * [taylor]: Taking taylor expansion of im in im
5.151 * [backup-simplify]: Simplify 0 into 0
5.151 * [backup-simplify]: Simplify 1 into 1
5.152 * [backup-simplify]: Simplify (* 1 1) into 1
5.152 * [backup-simplify]: Simplify (/ 1 1) into 1
5.153 * [backup-simplify]: Simplify (+ 0 1) into 1
5.153 * [backup-simplify]: Simplify (sqrt 1) into 1
5.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.155 * [backup-simplify]: Simplify (+ 0 0) into 0
5.155 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.156 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.156 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.156 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.156 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.156 * [taylor]: Taking taylor expansion of re in re
5.156 * [backup-simplify]: Simplify 0 into 0
5.156 * [backup-simplify]: Simplify 1 into 1
5.156 * [backup-simplify]: Simplify (* 1 1) into 1
5.156 * [backup-simplify]: Simplify (/ 1 1) into 1
5.156 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.157 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.157 * [taylor]: Taking taylor expansion of im in re
5.157 * [backup-simplify]: Simplify im into im
5.157 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.157 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.157 * [backup-simplify]: Simplify (+ 1 0) into 1
5.158 * [backup-simplify]: Simplify (sqrt 1) into 1
5.158 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.159 * [backup-simplify]: Simplify (+ 0 0) into 0
5.160 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.160 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.160 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.160 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.160 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.160 * [taylor]: Taking taylor expansion of re in re
5.160 * [backup-simplify]: Simplify 0 into 0
5.160 * [backup-simplify]: Simplify 1 into 1
5.161 * [backup-simplify]: Simplify (* 1 1) into 1
5.161 * [backup-simplify]: Simplify (/ 1 1) into 1
5.161 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.161 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.161 * [taylor]: Taking taylor expansion of im in re
5.161 * [backup-simplify]: Simplify im into im
5.161 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.161 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.162 * [backup-simplify]: Simplify (+ 1 0) into 1
5.162 * [backup-simplify]: Simplify (sqrt 1) into 1
5.163 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.164 * [backup-simplify]: Simplify (+ 0 0) into 0
5.165 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.165 * [taylor]: Taking taylor expansion of 1 in im
5.165 * [backup-simplify]: Simplify 1 into 1
5.165 * [taylor]: Taking taylor expansion of 0 in im
5.165 * [backup-simplify]: Simplify 0 into 0
5.165 * [backup-simplify]: Simplify 1 into 1
5.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.167 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.169 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.169 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.169 * [taylor]: Taking taylor expansion of 1/2 in im
5.169 * [backup-simplify]: Simplify 1/2 into 1/2
5.169 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.169 * [taylor]: Taking taylor expansion of im in im
5.169 * [backup-simplify]: Simplify 0 into 0
5.169 * [backup-simplify]: Simplify 1 into 1
5.169 * [backup-simplify]: Simplify (* 1 1) into 1
5.170 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.171 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.171 * [backup-simplify]: Simplify 0 into 0
5.171 * [backup-simplify]: Simplify 0 into 0
5.171 * [backup-simplify]: Simplify 0 into 0
5.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.174 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.174 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.174 * [backup-simplify]: Simplify (+ 0 0) into 0
5.175 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.175 * [taylor]: Taking taylor expansion of 0 in im
5.175 * [backup-simplify]: Simplify 0 into 0
5.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.177 * [backup-simplify]: Simplify 0 into 0
5.177 * [backup-simplify]: Simplify 0 into 0
5.177 * [backup-simplify]: Simplify 0 into 0
5.177 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
5.178 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
5.178 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
5.178 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.178 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.178 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.178 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.178 * [taylor]: Taking taylor expansion of re in im
5.178 * [backup-simplify]: Simplify re into re
5.178 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.178 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.178 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.178 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.178 * [taylor]: Taking taylor expansion of im in im
5.178 * [backup-simplify]: Simplify 0 into 0
5.178 * [backup-simplify]: Simplify 1 into 1
5.179 * [backup-simplify]: Simplify (* 1 1) into 1
5.179 * [backup-simplify]: Simplify (/ 1 1) into 1
5.179 * [backup-simplify]: Simplify (+ 0 1) into 1
5.180 * [backup-simplify]: Simplify (sqrt 1) into 1
5.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.182 * [backup-simplify]: Simplify (+ 0 0) into 0
5.182 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.182 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.182 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.183 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.183 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.183 * [taylor]: Taking taylor expansion of re in re
5.183 * [backup-simplify]: Simplify 0 into 0
5.183 * [backup-simplify]: Simplify 1 into 1
5.183 * [backup-simplify]: Simplify (* 1 1) into 1
5.183 * [backup-simplify]: Simplify (/ 1 1) into 1
5.183 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.183 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.183 * [taylor]: Taking taylor expansion of im in re
5.184 * [backup-simplify]: Simplify im into im
5.184 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.184 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.184 * [backup-simplify]: Simplify (+ 1 0) into 1
5.185 * [backup-simplify]: Simplify (sqrt 1) into 1
5.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.186 * [backup-simplify]: Simplify (+ 0 0) into 0
5.187 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.187 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.187 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.187 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.187 * [taylor]: Taking taylor expansion of re in re
5.187 * [backup-simplify]: Simplify 0 into 0
5.187 * [backup-simplify]: Simplify 1 into 1
5.188 * [backup-simplify]: Simplify (* 1 1) into 1
5.188 * [backup-simplify]: Simplify (/ 1 1) into 1
5.188 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.188 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.188 * [taylor]: Taking taylor expansion of im in re
5.188 * [backup-simplify]: Simplify im into im
5.188 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.189 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.189 * [backup-simplify]: Simplify (+ 1 0) into 1
5.190 * [backup-simplify]: Simplify (sqrt 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 (+ 0 0) into 0
5.192 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.192 * [taylor]: Taking taylor expansion of 1 in im
5.192 * [backup-simplify]: Simplify 1 into 1
5.192 * [taylor]: Taking taylor expansion of 0 in im
5.192 * [backup-simplify]: Simplify 0 into 0
5.192 * [backup-simplify]: Simplify 1 into 1
5.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.194 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.196 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.196 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.196 * [taylor]: Taking taylor expansion of 1/2 in im
5.196 * [backup-simplify]: Simplify 1/2 into 1/2
5.196 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.196 * [taylor]: Taking taylor expansion of im in im
5.196 * [backup-simplify]: Simplify 0 into 0
5.196 * [backup-simplify]: Simplify 1 into 1
5.196 * [backup-simplify]: Simplify (* 1 1) into 1
5.197 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.197 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.198 * [backup-simplify]: Simplify 0 into 0
5.198 * [backup-simplify]: Simplify 0 into 0
5.198 * [backup-simplify]: Simplify 0 into 0
5.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.201 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.201 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.201 * [backup-simplify]: Simplify (+ 0 0) into 0
5.202 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.202 * [taylor]: Taking taylor expansion of 0 in im
5.202 * [backup-simplify]: Simplify 0 into 0
5.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.204 * [backup-simplify]: Simplify 0 into 0
5.204 * [backup-simplify]: Simplify 0 into 0
5.204 * [backup-simplify]: Simplify 0 into 0
5.205 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
5.205 * * * [progress]: simplifying candidates
5.206 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
5.208 * * [simplify]: iteration 0: 38 enodes
5.221 * * [simplify]: iteration 1: 91 enodes
5.244 * * [simplify]: iteration 2: 220 enodes
5.304 * * [simplify]: iteration 3: 528 enodes
5.592 * * [simplify]: iteration 4: 1462 enodes
5.973 * * [simplify]: iteration complete: 5000 enodes
5.974 * * [simplify]: Extracting #0: cost 18 inf + 0
5.974 * * [simplify]: Extracting #1: cost 42 inf + 4
5.975 * * [simplify]: Extracting #2: cost 353 inf + 47
5.982 * * [simplify]: Extracting #3: cost 1457 inf + 1083
6.012 * * [simplify]: Extracting #4: cost 1357 inf + 90562
6.067 * * [simplify]: Extracting #5: cost 462 inf + 277192
6.155 * * [simplify]: Extracting #6: cost 139 inf + 359646
6.275 * * [simplify]: Extracting #7: cost 16 inf + 391513
6.347 * * [simplify]: Extracting #8: cost 0 inf + 396382
6.439 * [simplify]: Simplified to:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* (* im im) (* im im)) (* im im))))
  (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (* (- re im) (+ re im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* (* im im) (* im im)) (* im im))))
  (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (* (- re im) (+ re im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* (* im im) (* im im)) (* im im))))
  (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (* (- re im) (+ re im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* (* im im) (* im im)) (* im im))))
  (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (* (- re im) (+ re im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  im
  re
  (- re)
  im
  re
  (- re)
  im
  re
  (- re)
  im
  re
  (- re)
6.469 * * * [progress]: adding candidates to table
7.122 * * [progress]: iteration 4 / 4
7.122 * * * [progress]: picking best candidate
7.153 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
7.153 * * * [progress]: localizing error
7.232 * * * [progress]: generating rewritten candidates
7.233 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 2 1 1)
7.245 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 2 1 1 1)
7.254 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 2 1 1)
7.260 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1 1 1 1)
7.267 * * * [progress]: generating series expansions
7.267 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 2 1 1)
7.267 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
7.267 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
7.267 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
7.267 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
7.267 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.267 * [taylor]: Taking taylor expansion of im in im
7.267 * [backup-simplify]: Simplify 0 into 0
7.267 * [backup-simplify]: Simplify 1 into 1
7.267 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.267 * [taylor]: Taking taylor expansion of re in im
7.267 * [backup-simplify]: Simplify re into re
7.267 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.267 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
7.267 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.267 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.268 * [backup-simplify]: Simplify (+ 0 0) into 0
7.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.268 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
7.268 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
7.268 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.268 * [taylor]: Taking taylor expansion of im in re
7.268 * [backup-simplify]: Simplify im into im
7.268 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.268 * [taylor]: Taking taylor expansion of re in re
7.268 * [backup-simplify]: Simplify 0 into 0
7.268 * [backup-simplify]: Simplify 1 into 1
7.268 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.268 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
7.268 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.269 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.269 * [backup-simplify]: Simplify (+ 0 0) into 0
7.269 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.269 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
7.269 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
7.269 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.269 * [taylor]: Taking taylor expansion of im in re
7.269 * [backup-simplify]: Simplify im into im
7.269 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.269 * [taylor]: Taking taylor expansion of re in re
7.269 * [backup-simplify]: Simplify 0 into 0
7.269 * [backup-simplify]: Simplify 1 into 1
7.269 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.269 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
7.269 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.269 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.269 * [backup-simplify]: Simplify (+ 0 0) into 0
7.270 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.270 * [taylor]: Taking taylor expansion of im in im
7.270 * [backup-simplify]: Simplify 0 into 0
7.270 * [backup-simplify]: Simplify 1 into 1
7.270 * [backup-simplify]: Simplify 0 into 0
7.270 * [taylor]: Taking taylor expansion of 0 in im
7.270 * [backup-simplify]: Simplify 0 into 0
7.270 * [backup-simplify]: Simplify 0 into 0
7.270 * [backup-simplify]: Simplify 1 into 1
7.270 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
7.270 * [backup-simplify]: Simplify (* 1 1) into 1
7.271 * [backup-simplify]: Simplify (+ 0 1) into 1
7.271 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
7.271 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
7.271 * [taylor]: Taking taylor expansion of 1/2 in im
7.271 * [backup-simplify]: Simplify 1/2 into 1/2
7.271 * [taylor]: Taking taylor expansion of im in im
7.271 * [backup-simplify]: Simplify 0 into 0
7.271 * [backup-simplify]: Simplify 1 into 1
7.271 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.272 * [backup-simplify]: Simplify 0 into 0
7.272 * [backup-simplify]: Simplify 0 into 0
7.272 * [backup-simplify]: Simplify 0 into 0
7.273 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
7.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.273 * [backup-simplify]: Simplify (+ 0 0) into 0
7.273 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
7.273 * [taylor]: Taking taylor expansion of 0 in im
7.273 * [backup-simplify]: Simplify 0 into 0
7.273 * [backup-simplify]: Simplify 0 into 0
7.274 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.274 * [backup-simplify]: Simplify 0 into 0
7.274 * [backup-simplify]: Simplify 0 into 0
7.274 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
7.274 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
7.274 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
7.274 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.274 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.274 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.274 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.274 * [taylor]: Taking taylor expansion of re in im
7.274 * [backup-simplify]: Simplify re into re
7.274 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.274 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.275 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.275 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.275 * [taylor]: Taking taylor expansion of im in im
7.275 * [backup-simplify]: Simplify 0 into 0
7.275 * [backup-simplify]: Simplify 1 into 1
7.275 * [backup-simplify]: Simplify (* 1 1) into 1
7.275 * [backup-simplify]: Simplify (/ 1 1) into 1
7.275 * [backup-simplify]: Simplify (+ 0 1) into 1
7.276 * [backup-simplify]: Simplify (sqrt 1) into 1
7.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.277 * [backup-simplify]: Simplify (+ 0 0) into 0
7.277 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.277 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.277 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.277 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.277 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.277 * [taylor]: Taking taylor expansion of re in re
7.277 * [backup-simplify]: Simplify 0 into 0
7.277 * [backup-simplify]: Simplify 1 into 1
7.277 * [backup-simplify]: Simplify (* 1 1) into 1
7.278 * [backup-simplify]: Simplify (/ 1 1) into 1
7.278 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.278 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.278 * [taylor]: Taking taylor expansion of im in re
7.278 * [backup-simplify]: Simplify im into im
7.278 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.278 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.278 * [backup-simplify]: Simplify (+ 1 0) into 1
7.278 * [backup-simplify]: Simplify (sqrt 1) into 1
7.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.279 * [backup-simplify]: Simplify (+ 0 0) into 0
7.280 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.280 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.280 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.280 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.280 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.280 * [taylor]: Taking taylor expansion of re in re
7.280 * [backup-simplify]: Simplify 0 into 0
7.280 * [backup-simplify]: Simplify 1 into 1
7.280 * [backup-simplify]: Simplify (* 1 1) into 1
7.280 * [backup-simplify]: Simplify (/ 1 1) into 1
7.280 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.280 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.280 * [taylor]: Taking taylor expansion of im in re
7.280 * [backup-simplify]: Simplify im into im
7.280 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.281 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.281 * [backup-simplify]: Simplify (+ 1 0) into 1
7.281 * [backup-simplify]: Simplify (sqrt 1) into 1
7.281 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.282 * [backup-simplify]: Simplify (+ 0 0) into 0
7.283 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.283 * [taylor]: Taking taylor expansion of 1 in im
7.283 * [backup-simplify]: Simplify 1 into 1
7.283 * [taylor]: Taking taylor expansion of 0 in im
7.283 * [backup-simplify]: Simplify 0 into 0
7.283 * [backup-simplify]: Simplify 1 into 1
7.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.284 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.285 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.285 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.285 * [taylor]: Taking taylor expansion of 1/2 in im
7.285 * [backup-simplify]: Simplify 1/2 into 1/2
7.285 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.285 * [taylor]: Taking taylor expansion of im in im
7.285 * [backup-simplify]: Simplify 0 into 0
7.285 * [backup-simplify]: Simplify 1 into 1
7.285 * [backup-simplify]: Simplify (* 1 1) into 1
7.285 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.286 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.286 * [backup-simplify]: Simplify 0 into 0
7.286 * [backup-simplify]: Simplify 0 into 0
7.286 * [backup-simplify]: Simplify 0 into 0
7.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.287 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.288 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.288 * [backup-simplify]: Simplify (+ 0 0) into 0
7.288 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.288 * [taylor]: Taking taylor expansion of 0 in im
7.288 * [backup-simplify]: Simplify 0 into 0
7.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.289 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.289 * [backup-simplify]: Simplify 0 into 0
7.289 * [backup-simplify]: Simplify 0 into 0
7.289 * [backup-simplify]: Simplify 0 into 0
7.290 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
7.290 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
7.290 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
7.290 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.290 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.290 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.290 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.290 * [taylor]: Taking taylor expansion of re in im
7.290 * [backup-simplify]: Simplify re into re
7.290 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.290 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.290 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.290 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.290 * [taylor]: Taking taylor expansion of im in im
7.290 * [backup-simplify]: Simplify 0 into 0
7.290 * [backup-simplify]: Simplify 1 into 1
7.290 * [backup-simplify]: Simplify (* 1 1) into 1
7.291 * [backup-simplify]: Simplify (/ 1 1) into 1
7.291 * [backup-simplify]: Simplify (+ 0 1) into 1
7.291 * [backup-simplify]: Simplify (sqrt 1) into 1
7.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.292 * [backup-simplify]: Simplify (+ 0 0) into 0
7.292 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.293 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.293 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.293 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.293 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.293 * [taylor]: Taking taylor expansion of re in re
7.293 * [backup-simplify]: Simplify 0 into 0
7.293 * [backup-simplify]: Simplify 1 into 1
7.293 * [backup-simplify]: Simplify (* 1 1) into 1
7.293 * [backup-simplify]: Simplify (/ 1 1) into 1
7.293 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.293 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.293 * [taylor]: Taking taylor expansion of im in re
7.293 * [backup-simplify]: Simplify im into im
7.293 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.293 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.294 * [backup-simplify]: Simplify (+ 1 0) into 1
7.294 * [backup-simplify]: Simplify (sqrt 1) into 1
7.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.299 * [backup-simplify]: Simplify (+ 0 0) into 0
7.300 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.300 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.301 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.301 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.301 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.301 * [taylor]: Taking taylor expansion of re in re
7.301 * [backup-simplify]: Simplify 0 into 0
7.301 * [backup-simplify]: Simplify 1 into 1
7.301 * [backup-simplify]: Simplify (* 1 1) into 1
7.302 * [backup-simplify]: Simplify (/ 1 1) into 1
7.302 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.302 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.302 * [taylor]: Taking taylor expansion of im in re
7.302 * [backup-simplify]: Simplify im into im
7.302 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.302 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.303 * [backup-simplify]: Simplify (+ 1 0) into 1
7.303 * [backup-simplify]: Simplify (sqrt 1) into 1
7.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.305 * [backup-simplify]: Simplify (+ 0 0) into 0
7.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.305 * [taylor]: Taking taylor expansion of 1 in im
7.306 * [backup-simplify]: Simplify 1 into 1
7.306 * [taylor]: Taking taylor expansion of 0 in im
7.306 * [backup-simplify]: Simplify 0 into 0
7.306 * [backup-simplify]: Simplify 1 into 1
7.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.308 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.309 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.309 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.309 * [taylor]: Taking taylor expansion of 1/2 in im
7.309 * [backup-simplify]: Simplify 1/2 into 1/2
7.309 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.309 * [taylor]: Taking taylor expansion of im in im
7.309 * [backup-simplify]: Simplify 0 into 0
7.309 * [backup-simplify]: Simplify 1 into 1
7.310 * [backup-simplify]: Simplify (* 1 1) into 1
7.310 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.312 * [backup-simplify]: Simplify 0 into 0
7.312 * [backup-simplify]: Simplify 0 into 0
7.312 * [backup-simplify]: Simplify 0 into 0
7.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.314 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.314 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.315 * [backup-simplify]: Simplify (+ 0 0) into 0
7.315 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.315 * [taylor]: Taking taylor expansion of 0 in im
7.315 * [backup-simplify]: Simplify 0 into 0
7.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.317 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.317 * [backup-simplify]: Simplify 0 into 0
7.317 * [backup-simplify]: Simplify 0 into 0
7.318 * [backup-simplify]: Simplify 0 into 0
7.318 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
7.318 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 2 1 1 1)
7.318 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
7.318 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
7.318 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
7.318 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
7.318 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.318 * [taylor]: Taking taylor expansion of im in im
7.318 * [backup-simplify]: Simplify 0 into 0
7.318 * [backup-simplify]: Simplify 1 into 1
7.318 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.318 * [taylor]: Taking taylor expansion of re in im
7.318 * [backup-simplify]: Simplify re into re
7.318 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.319 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
7.319 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.319 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.319 * [backup-simplify]: Simplify (+ 0 0) into 0
7.319 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.319 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
7.319 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
7.319 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.319 * [taylor]: Taking taylor expansion of im in re
7.319 * [backup-simplify]: Simplify im into im
7.320 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.320 * [taylor]: Taking taylor expansion of re in re
7.320 * [backup-simplify]: Simplify 0 into 0
7.320 * [backup-simplify]: Simplify 1 into 1
7.320 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.320 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
7.320 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.320 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.320 * [backup-simplify]: Simplify (+ 0 0) into 0
7.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.321 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
7.321 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
7.321 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.321 * [taylor]: Taking taylor expansion of im in re
7.321 * [backup-simplify]: Simplify im into im
7.321 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.321 * [taylor]: Taking taylor expansion of re in re
7.321 * [backup-simplify]: Simplify 0 into 0
7.321 * [backup-simplify]: Simplify 1 into 1
7.321 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.321 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
7.321 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.321 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.322 * [backup-simplify]: Simplify (+ 0 0) into 0
7.322 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.322 * [taylor]: Taking taylor expansion of im in im
7.322 * [backup-simplify]: Simplify 0 into 0
7.322 * [backup-simplify]: Simplify 1 into 1
7.322 * [backup-simplify]: Simplify 0 into 0
7.322 * [taylor]: Taking taylor expansion of 0 in im
7.322 * [backup-simplify]: Simplify 0 into 0
7.322 * [backup-simplify]: Simplify 0 into 0
7.322 * [backup-simplify]: Simplify 1 into 1
7.323 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
7.323 * [backup-simplify]: Simplify (* 1 1) into 1
7.323 * [backup-simplify]: Simplify (+ 0 1) into 1
7.324 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
7.324 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
7.324 * [taylor]: Taking taylor expansion of 1/2 in im
7.324 * [backup-simplify]: Simplify 1/2 into 1/2
7.324 * [taylor]: Taking taylor expansion of im in im
7.324 * [backup-simplify]: Simplify 0 into 0
7.324 * [backup-simplify]: Simplify 1 into 1
7.325 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.326 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.326 * [backup-simplify]: Simplify 0 into 0
7.326 * [backup-simplify]: Simplify 0 into 0
7.326 * [backup-simplify]: Simplify 0 into 0
7.327 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
7.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.328 * [backup-simplify]: Simplify (+ 0 0) into 0
7.328 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
7.328 * [taylor]: Taking taylor expansion of 0 in im
7.328 * [backup-simplify]: Simplify 0 into 0
7.328 * [backup-simplify]: Simplify 0 into 0
7.329 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.329 * [backup-simplify]: Simplify 0 into 0
7.329 * [backup-simplify]: Simplify 0 into 0
7.329 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
7.330 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
7.330 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
7.330 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.330 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.330 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.330 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.330 * [taylor]: Taking taylor expansion of re in im
7.330 * [backup-simplify]: Simplify re into re
7.330 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.330 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.330 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.330 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.330 * [taylor]: Taking taylor expansion of im in im
7.330 * [backup-simplify]: Simplify 0 into 0
7.330 * [backup-simplify]: Simplify 1 into 1
7.331 * [backup-simplify]: Simplify (* 1 1) into 1
7.331 * [backup-simplify]: Simplify (/ 1 1) into 1
7.332 * [backup-simplify]: Simplify (+ 0 1) into 1
7.332 * [backup-simplify]: Simplify (sqrt 1) into 1
7.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.334 * [backup-simplify]: Simplify (+ 0 0) into 0
7.335 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.335 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.335 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.335 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.335 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.335 * [taylor]: Taking taylor expansion of re in re
7.335 * [backup-simplify]: Simplify 0 into 0
7.335 * [backup-simplify]: Simplify 1 into 1
7.335 * [backup-simplify]: Simplify (* 1 1) into 1
7.336 * [backup-simplify]: Simplify (/ 1 1) into 1
7.336 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.336 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.336 * [taylor]: Taking taylor expansion of im in re
7.336 * [backup-simplify]: Simplify im into im
7.336 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.336 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.336 * [backup-simplify]: Simplify (+ 1 0) into 1
7.337 * [backup-simplify]: Simplify (sqrt 1) into 1
7.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.339 * [backup-simplify]: Simplify (+ 0 0) into 0
7.339 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.339 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.339 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.339 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.340 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.340 * [taylor]: Taking taylor expansion of re in re
7.340 * [backup-simplify]: Simplify 0 into 0
7.340 * [backup-simplify]: Simplify 1 into 1
7.340 * [backup-simplify]: Simplify (* 1 1) into 1
7.340 * [backup-simplify]: Simplify (/ 1 1) into 1
7.340 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.340 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.340 * [taylor]: Taking taylor expansion of im in re
7.341 * [backup-simplify]: Simplify im into im
7.341 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.341 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.341 * [backup-simplify]: Simplify (+ 1 0) into 1
7.342 * [backup-simplify]: Simplify (sqrt 1) into 1
7.342 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.343 * [backup-simplify]: Simplify (+ 0 0) into 0
7.344 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.344 * [taylor]: Taking taylor expansion of 1 in im
7.344 * [backup-simplify]: Simplify 1 into 1
7.344 * [taylor]: Taking taylor expansion of 0 in im
7.344 * [backup-simplify]: Simplify 0 into 0
7.344 * [backup-simplify]: Simplify 1 into 1
7.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.347 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.348 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.348 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.348 * [taylor]: Taking taylor expansion of 1/2 in im
7.348 * [backup-simplify]: Simplify 1/2 into 1/2
7.348 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.348 * [taylor]: Taking taylor expansion of im in im
7.348 * [backup-simplify]: Simplify 0 into 0
7.348 * [backup-simplify]: Simplify 1 into 1
7.349 * [backup-simplify]: Simplify (* 1 1) into 1
7.349 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.351 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.351 * [backup-simplify]: Simplify 0 into 0
7.351 * [backup-simplify]: Simplify 0 into 0
7.351 * [backup-simplify]: Simplify 0 into 0
7.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.353 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.354 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.354 * [backup-simplify]: Simplify (+ 0 0) into 0
7.355 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.355 * [taylor]: Taking taylor expansion of 0 in im
7.355 * [backup-simplify]: Simplify 0 into 0
7.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.356 * [backup-simplify]: Simplify 0 into 0
7.356 * [backup-simplify]: Simplify 0 into 0
7.356 * [backup-simplify]: Simplify 0 into 0
7.356 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
7.356 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
7.356 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
7.356 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.356 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.356 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.356 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.356 * [taylor]: Taking taylor expansion of re in im
7.356 * [backup-simplify]: Simplify re into re
7.356 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.356 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.356 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.356 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.356 * [taylor]: Taking taylor expansion of im in im
7.356 * [backup-simplify]: Simplify 0 into 0
7.356 * [backup-simplify]: Simplify 1 into 1
7.357 * [backup-simplify]: Simplify (* 1 1) into 1
7.357 * [backup-simplify]: Simplify (/ 1 1) into 1
7.357 * [backup-simplify]: Simplify (+ 0 1) into 1
7.358 * [backup-simplify]: Simplify (sqrt 1) into 1
7.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.359 * [backup-simplify]: Simplify (+ 0 0) into 0
7.359 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.359 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.359 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.359 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.359 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.359 * [taylor]: Taking taylor expansion of re in re
7.359 * [backup-simplify]: Simplify 0 into 0
7.359 * [backup-simplify]: Simplify 1 into 1
7.359 * [backup-simplify]: Simplify (* 1 1) into 1
7.360 * [backup-simplify]: Simplify (/ 1 1) into 1
7.360 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.360 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.360 * [taylor]: Taking taylor expansion of im in re
7.360 * [backup-simplify]: Simplify im into im
7.360 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.360 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.360 * [backup-simplify]: Simplify (+ 1 0) into 1
7.361 * [backup-simplify]: Simplify (sqrt 1) into 1
7.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.362 * [backup-simplify]: Simplify (+ 0 0) into 0
7.362 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.362 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.362 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.362 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.362 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.362 * [taylor]: Taking taylor expansion of re in re
7.362 * [backup-simplify]: Simplify 0 into 0
7.362 * [backup-simplify]: Simplify 1 into 1
7.362 * [backup-simplify]: Simplify (* 1 1) into 1
7.363 * [backup-simplify]: Simplify (/ 1 1) into 1
7.363 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.363 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.363 * [taylor]: Taking taylor expansion of im in re
7.363 * [backup-simplify]: Simplify im into im
7.363 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.363 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.363 * [backup-simplify]: Simplify (+ 1 0) into 1
7.363 * [backup-simplify]: Simplify (sqrt 1) into 1
7.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.364 * [backup-simplify]: Simplify (+ 0 0) into 0
7.365 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.365 * [taylor]: Taking taylor expansion of 1 in im
7.365 * [backup-simplify]: Simplify 1 into 1
7.365 * [taylor]: Taking taylor expansion of 0 in im
7.365 * [backup-simplify]: Simplify 0 into 0
7.365 * [backup-simplify]: Simplify 1 into 1
7.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.366 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.367 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.367 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.367 * [taylor]: Taking taylor expansion of 1/2 in im
7.367 * [backup-simplify]: Simplify 1/2 into 1/2
7.367 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.367 * [taylor]: Taking taylor expansion of im in im
7.367 * [backup-simplify]: Simplify 0 into 0
7.367 * [backup-simplify]: Simplify 1 into 1
7.367 * [backup-simplify]: Simplify (* 1 1) into 1
7.368 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.368 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.369 * [backup-simplify]: Simplify 0 into 0
7.369 * [backup-simplify]: Simplify 0 into 0
7.369 * [backup-simplify]: Simplify 0 into 0
7.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.370 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.370 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.370 * [backup-simplify]: Simplify (+ 0 0) into 0
7.371 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.371 * [taylor]: Taking taylor expansion of 0 in im
7.371 * [backup-simplify]: Simplify 0 into 0
7.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.372 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.372 * [backup-simplify]: Simplify 0 into 0
7.372 * [backup-simplify]: Simplify 0 into 0
7.372 * [backup-simplify]: Simplify 0 into 0
7.372 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
7.372 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 2 1 1)
7.372 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
7.372 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
7.372 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
7.372 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
7.372 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.372 * [taylor]: Taking taylor expansion of im in im
7.372 * [backup-simplify]: Simplify 0 into 0
7.372 * [backup-simplify]: Simplify 1 into 1
7.372 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.372 * [taylor]: Taking taylor expansion of re in im
7.372 * [backup-simplify]: Simplify re into re
7.373 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.373 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
7.373 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.373 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.373 * [backup-simplify]: Simplify (+ 0 0) into 0
7.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.373 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
7.373 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
7.373 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.373 * [taylor]: Taking taylor expansion of im in re
7.373 * [backup-simplify]: Simplify im into im
7.373 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.373 * [taylor]: Taking taylor expansion of re in re
7.373 * [backup-simplify]: Simplify 0 into 0
7.373 * [backup-simplify]: Simplify 1 into 1
7.373 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.373 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
7.374 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.374 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.374 * [backup-simplify]: Simplify (+ 0 0) into 0
7.374 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.374 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
7.374 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
7.374 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.374 * [taylor]: Taking taylor expansion of im in re
7.374 * [backup-simplify]: Simplify im into im
7.374 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.374 * [taylor]: Taking taylor expansion of re in re
7.374 * [backup-simplify]: Simplify 0 into 0
7.374 * [backup-simplify]: Simplify 1 into 1
7.374 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.374 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
7.374 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.374 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.375 * [backup-simplify]: Simplify (+ 0 0) into 0
7.375 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.375 * [taylor]: Taking taylor expansion of im in im
7.375 * [backup-simplify]: Simplify 0 into 0
7.375 * [backup-simplify]: Simplify 1 into 1
7.375 * [backup-simplify]: Simplify 0 into 0
7.375 * [taylor]: Taking taylor expansion of 0 in im
7.375 * [backup-simplify]: Simplify 0 into 0
7.375 * [backup-simplify]: Simplify 0 into 0
7.375 * [backup-simplify]: Simplify 1 into 1
7.375 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
7.376 * [backup-simplify]: Simplify (* 1 1) into 1
7.376 * [backup-simplify]: Simplify (+ 0 1) into 1
7.376 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
7.376 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
7.376 * [taylor]: Taking taylor expansion of 1/2 in im
7.376 * [backup-simplify]: Simplify 1/2 into 1/2
7.376 * [taylor]: Taking taylor expansion of im in im
7.376 * [backup-simplify]: Simplify 0 into 0
7.376 * [backup-simplify]: Simplify 1 into 1
7.377 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.377 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.377 * [backup-simplify]: Simplify 0 into 0
7.377 * [backup-simplify]: Simplify 0 into 0
7.377 * [backup-simplify]: Simplify 0 into 0
7.378 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
7.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.378 * [backup-simplify]: Simplify (+ 0 0) into 0
7.378 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
7.379 * [taylor]: Taking taylor expansion of 0 in im
7.379 * [backup-simplify]: Simplify 0 into 0
7.379 * [backup-simplify]: Simplify 0 into 0
7.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.379 * [backup-simplify]: Simplify 0 into 0
7.379 * [backup-simplify]: Simplify 0 into 0
7.379 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
7.379 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
7.379 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
7.379 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.379 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.379 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.379 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.380 * [taylor]: Taking taylor expansion of re in im
7.380 * [backup-simplify]: Simplify re into re
7.380 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.380 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.380 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.380 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.380 * [taylor]: Taking taylor expansion of im in im
7.380 * [backup-simplify]: Simplify 0 into 0
7.380 * [backup-simplify]: Simplify 1 into 1
7.380 * [backup-simplify]: Simplify (* 1 1) into 1
7.380 * [backup-simplify]: Simplify (/ 1 1) into 1
7.380 * [backup-simplify]: Simplify (+ 0 1) into 1
7.382 * [backup-simplify]: Simplify (sqrt 1) into 1
7.382 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.383 * [backup-simplify]: Simplify (+ 0 0) into 0
7.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.384 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.384 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.384 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.384 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.384 * [taylor]: Taking taylor expansion of re in re
7.384 * [backup-simplify]: Simplify 0 into 0
7.384 * [backup-simplify]: Simplify 1 into 1
7.384 * [backup-simplify]: Simplify (* 1 1) into 1
7.384 * [backup-simplify]: Simplify (/ 1 1) into 1
7.384 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.385 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.385 * [taylor]: Taking taylor expansion of im in re
7.385 * [backup-simplify]: Simplify im into im
7.385 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.385 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.385 * [backup-simplify]: Simplify (+ 1 0) into 1
7.386 * [backup-simplify]: Simplify (sqrt 1) into 1
7.386 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.387 * [backup-simplify]: Simplify (+ 0 0) into 0
7.388 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.388 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.388 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.388 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.388 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.388 * [taylor]: Taking taylor expansion of re in re
7.388 * [backup-simplify]: Simplify 0 into 0
7.388 * [backup-simplify]: Simplify 1 into 1
7.389 * [backup-simplify]: Simplify (* 1 1) into 1
7.389 * [backup-simplify]: Simplify (/ 1 1) into 1
7.389 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.389 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.389 * [taylor]: Taking taylor expansion of im in re
7.389 * [backup-simplify]: Simplify im into im
7.389 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.389 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.390 * [backup-simplify]: Simplify (+ 1 0) into 1
7.390 * [backup-simplify]: Simplify (sqrt 1) into 1
7.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.392 * [backup-simplify]: Simplify (+ 0 0) into 0
7.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.393 * [taylor]: Taking taylor expansion of 1 in im
7.393 * [backup-simplify]: Simplify 1 into 1
7.393 * [taylor]: Taking taylor expansion of 0 in im
7.393 * [backup-simplify]: Simplify 0 into 0
7.393 * [backup-simplify]: Simplify 1 into 1
7.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.395 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.396 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.397 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.397 * [taylor]: Taking taylor expansion of 1/2 in im
7.397 * [backup-simplify]: Simplify 1/2 into 1/2
7.397 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.397 * [taylor]: Taking taylor expansion of im in im
7.397 * [backup-simplify]: Simplify 0 into 0
7.397 * [backup-simplify]: Simplify 1 into 1
7.397 * [backup-simplify]: Simplify (* 1 1) into 1
7.397 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.399 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.399 * [backup-simplify]: Simplify 0 into 0
7.399 * [backup-simplify]: Simplify 0 into 0
7.399 * [backup-simplify]: Simplify 0 into 0
7.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.400 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.400 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.401 * [backup-simplify]: Simplify (+ 0 0) into 0
7.401 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.401 * [taylor]: Taking taylor expansion of 0 in im
7.401 * [backup-simplify]: Simplify 0 into 0
7.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.402 * [backup-simplify]: Simplify 0 into 0
7.402 * [backup-simplify]: Simplify 0 into 0
7.402 * [backup-simplify]: Simplify 0 into 0
7.402 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
7.402 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
7.402 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
7.403 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.403 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.403 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.403 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.403 * [taylor]: Taking taylor expansion of re in im
7.403 * [backup-simplify]: Simplify re into re
7.403 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.403 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.403 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.403 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.403 * [taylor]: Taking taylor expansion of im in im
7.403 * [backup-simplify]: Simplify 0 into 0
7.403 * [backup-simplify]: Simplify 1 into 1
7.403 * [backup-simplify]: Simplify (* 1 1) into 1
7.403 * [backup-simplify]: Simplify (/ 1 1) into 1
7.404 * [backup-simplify]: Simplify (+ 0 1) into 1
7.404 * [backup-simplify]: Simplify (sqrt 1) into 1
7.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.405 * [backup-simplify]: Simplify (+ 0 0) into 0
7.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.405 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.405 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.405 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.405 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.405 * [taylor]: Taking taylor expansion of re in re
7.405 * [backup-simplify]: Simplify 0 into 0
7.405 * [backup-simplify]: Simplify 1 into 1
7.406 * [backup-simplify]: Simplify (* 1 1) into 1
7.406 * [backup-simplify]: Simplify (/ 1 1) into 1
7.406 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.406 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.406 * [taylor]: Taking taylor expansion of im in re
7.406 * [backup-simplify]: Simplify im into im
7.406 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.406 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.406 * [backup-simplify]: Simplify (+ 1 0) into 1
7.407 * [backup-simplify]: Simplify (sqrt 1) into 1
7.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.408 * [backup-simplify]: Simplify (+ 0 0) into 0
7.408 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.408 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.408 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.408 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.408 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.408 * [taylor]: Taking taylor expansion of re in re
7.408 * [backup-simplify]: Simplify 0 into 0
7.408 * [backup-simplify]: Simplify 1 into 1
7.408 * [backup-simplify]: Simplify (* 1 1) into 1
7.409 * [backup-simplify]: Simplify (/ 1 1) into 1
7.409 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.409 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.409 * [taylor]: Taking taylor expansion of im in re
7.409 * [backup-simplify]: Simplify im into im
7.409 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.409 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.409 * [backup-simplify]: Simplify (+ 1 0) into 1
7.409 * [backup-simplify]: Simplify (sqrt 1) into 1
7.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.410 * [backup-simplify]: Simplify (+ 0 0) into 0
7.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.411 * [taylor]: Taking taylor expansion of 1 in im
7.411 * [backup-simplify]: Simplify 1 into 1
7.411 * [taylor]: Taking taylor expansion of 0 in im
7.411 * [backup-simplify]: Simplify 0 into 0
7.411 * [backup-simplify]: Simplify 1 into 1
7.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.412 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.413 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.413 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.413 * [taylor]: Taking taylor expansion of 1/2 in im
7.413 * [backup-simplify]: Simplify 1/2 into 1/2
7.413 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.413 * [taylor]: Taking taylor expansion of im in im
7.413 * [backup-simplify]: Simplify 0 into 0
7.413 * [backup-simplify]: Simplify 1 into 1
7.413 * [backup-simplify]: Simplify (* 1 1) into 1
7.414 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.414 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.415 * [backup-simplify]: Simplify 0 into 0
7.415 * [backup-simplify]: Simplify 0 into 0
7.415 * [backup-simplify]: Simplify 0 into 0
7.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.416 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.416 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.416 * [backup-simplify]: Simplify (+ 0 0) into 0
7.417 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.417 * [taylor]: Taking taylor expansion of 0 in im
7.417 * [backup-simplify]: Simplify 0 into 0
7.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.418 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.418 * [backup-simplify]: Simplify 0 into 0
7.418 * [backup-simplify]: Simplify 0 into 0
7.418 * [backup-simplify]: Simplify 0 into 0
7.418 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
7.418 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1 1 1 1)
7.418 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
7.418 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
7.418 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
7.418 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
7.418 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.418 * [taylor]: Taking taylor expansion of im in im
7.418 * [backup-simplify]: Simplify 0 into 0
7.418 * [backup-simplify]: Simplify 1 into 1
7.418 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.418 * [taylor]: Taking taylor expansion of re in im
7.418 * [backup-simplify]: Simplify re into re
7.418 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.418 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
7.419 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.419 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.419 * [backup-simplify]: Simplify (+ 0 0) into 0
7.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.419 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
7.419 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
7.419 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.419 * [taylor]: Taking taylor expansion of im in re
7.419 * [backup-simplify]: Simplify im into im
7.419 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.419 * [taylor]: Taking taylor expansion of re in re
7.419 * [backup-simplify]: Simplify 0 into 0
7.419 * [backup-simplify]: Simplify 1 into 1
7.419 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.419 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
7.419 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.419 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.420 * [backup-simplify]: Simplify (+ 0 0) into 0
7.420 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.420 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
7.420 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
7.420 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.420 * [taylor]: Taking taylor expansion of im in re
7.420 * [backup-simplify]: Simplify im into im
7.420 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.420 * [taylor]: Taking taylor expansion of re in re
7.420 * [backup-simplify]: Simplify 0 into 0
7.420 * [backup-simplify]: Simplify 1 into 1
7.420 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.420 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
7.420 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.420 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.424 * [backup-simplify]: Simplify (+ 0 0) into 0
7.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.424 * [taylor]: Taking taylor expansion of im in im
7.424 * [backup-simplify]: Simplify 0 into 0
7.424 * [backup-simplify]: Simplify 1 into 1
7.424 * [backup-simplify]: Simplify 0 into 0
7.424 * [taylor]: Taking taylor expansion of 0 in im
7.424 * [backup-simplify]: Simplify 0 into 0
7.424 * [backup-simplify]: Simplify 0 into 0
7.424 * [backup-simplify]: Simplify 1 into 1
7.425 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
7.425 * [backup-simplify]: Simplify (* 1 1) into 1
7.425 * [backup-simplify]: Simplify (+ 0 1) into 1
7.426 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
7.426 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
7.426 * [taylor]: Taking taylor expansion of 1/2 in im
7.426 * [backup-simplify]: Simplify 1/2 into 1/2
7.426 * [taylor]: Taking taylor expansion of im in im
7.426 * [backup-simplify]: Simplify 0 into 0
7.426 * [backup-simplify]: Simplify 1 into 1
7.426 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.427 * [backup-simplify]: Simplify 0 into 0
7.427 * [backup-simplify]: Simplify 0 into 0
7.427 * [backup-simplify]: Simplify 0 into 0
7.428 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
7.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.429 * [backup-simplify]: Simplify (+ 0 0) into 0
7.429 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
7.429 * [taylor]: Taking taylor expansion of 0 in im
7.429 * [backup-simplify]: Simplify 0 into 0
7.429 * [backup-simplify]: Simplify 0 into 0
7.430 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.430 * [backup-simplify]: Simplify 0 into 0
7.430 * [backup-simplify]: Simplify 0 into 0
7.430 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
7.431 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
7.431 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
7.431 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.431 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.431 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.431 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.431 * [taylor]: Taking taylor expansion of re in im
7.431 * [backup-simplify]: Simplify re into re
7.431 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.431 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.431 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.431 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.431 * [taylor]: Taking taylor expansion of im in im
7.431 * [backup-simplify]: Simplify 0 into 0
7.431 * [backup-simplify]: Simplify 1 into 1
7.432 * [backup-simplify]: Simplify (* 1 1) into 1
7.432 * [backup-simplify]: Simplify (/ 1 1) into 1
7.432 * [backup-simplify]: Simplify (+ 0 1) into 1
7.433 * [backup-simplify]: Simplify (sqrt 1) into 1
7.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.435 * [backup-simplify]: Simplify (+ 0 0) into 0
7.435 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.435 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.435 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.435 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.435 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.435 * [taylor]: Taking taylor expansion of re in re
7.435 * [backup-simplify]: Simplify 0 into 0
7.436 * [backup-simplify]: Simplify 1 into 1
7.436 * [backup-simplify]: Simplify (* 1 1) into 1
7.436 * [backup-simplify]: Simplify (/ 1 1) into 1
7.436 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.436 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.436 * [taylor]: Taking taylor expansion of im in re
7.436 * [backup-simplify]: Simplify im into im
7.437 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.437 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.437 * [backup-simplify]: Simplify (+ 1 0) into 1
7.438 * [backup-simplify]: Simplify (sqrt 1) into 1
7.438 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.439 * [backup-simplify]: Simplify (+ 0 0) into 0
7.440 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.440 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.440 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.440 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.440 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.440 * [taylor]: Taking taylor expansion of re in re
7.440 * [backup-simplify]: Simplify 0 into 0
7.440 * [backup-simplify]: Simplify 1 into 1
7.441 * [backup-simplify]: Simplify (* 1 1) into 1
7.441 * [backup-simplify]: Simplify (/ 1 1) into 1
7.441 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.441 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.441 * [taylor]: Taking taylor expansion of im in re
7.441 * [backup-simplify]: Simplify im into im
7.441 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.442 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.442 * [backup-simplify]: Simplify (+ 1 0) into 1
7.442 * [backup-simplify]: Simplify (sqrt 1) into 1
7.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.444 * [backup-simplify]: Simplify (+ 0 0) into 0
7.445 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.445 * [taylor]: Taking taylor expansion of 1 in im
7.445 * [backup-simplify]: Simplify 1 into 1
7.445 * [taylor]: Taking taylor expansion of 0 in im
7.445 * [backup-simplify]: Simplify 0 into 0
7.445 * [backup-simplify]: Simplify 1 into 1
7.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.447 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.449 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.449 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.449 * [taylor]: Taking taylor expansion of 1/2 in im
7.449 * [backup-simplify]: Simplify 1/2 into 1/2
7.449 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.449 * [taylor]: Taking taylor expansion of im in im
7.449 * [backup-simplify]: Simplify 0 into 0
7.449 * [backup-simplify]: Simplify 1 into 1
7.449 * [backup-simplify]: Simplify (* 1 1) into 1
7.450 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.451 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.452 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.452 * [backup-simplify]: Simplify 0 into 0
7.452 * [backup-simplify]: Simplify 0 into 0
7.452 * [backup-simplify]: Simplify 0 into 0
7.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.454 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.454 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.455 * [backup-simplify]: Simplify (+ 0 0) into 0
7.455 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.455 * [taylor]: Taking taylor expansion of 0 in im
7.455 * [backup-simplify]: Simplify 0 into 0
7.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.458 * [backup-simplify]: Simplify 0 into 0
7.458 * [backup-simplify]: Simplify 0 into 0
7.458 * [backup-simplify]: Simplify 0 into 0
7.458 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
7.458 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
7.458 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
7.458 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.458 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.458 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.458 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.458 * [taylor]: Taking taylor expansion of re in im
7.458 * [backup-simplify]: Simplify re into re
7.458 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.459 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.459 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.459 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.459 * [taylor]: Taking taylor expansion of im in im
7.459 * [backup-simplify]: Simplify 0 into 0
7.459 * [backup-simplify]: Simplify 1 into 1
7.459 * [backup-simplify]: Simplify (* 1 1) into 1
7.459 * [backup-simplify]: Simplify (/ 1 1) into 1
7.460 * [backup-simplify]: Simplify (+ 0 1) into 1
7.460 * [backup-simplify]: Simplify (sqrt 1) into 1
7.460 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.461 * [backup-simplify]: Simplify (+ 0 0) into 0
7.461 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.461 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.461 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.461 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.461 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.461 * [taylor]: Taking taylor expansion of re in re
7.461 * [backup-simplify]: Simplify 0 into 0
7.461 * [backup-simplify]: Simplify 1 into 1
7.462 * [backup-simplify]: Simplify (* 1 1) into 1
7.462 * [backup-simplify]: Simplify (/ 1 1) into 1
7.462 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.462 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.462 * [taylor]: Taking taylor expansion of im in re
7.462 * [backup-simplify]: Simplify im into im
7.462 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.462 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.463 * [backup-simplify]: Simplify (+ 1 0) into 1
7.463 * [backup-simplify]: Simplify (sqrt 1) into 1
7.463 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.464 * [backup-simplify]: Simplify (+ 0 0) into 0
7.464 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.465 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.465 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.465 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.465 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.465 * [taylor]: Taking taylor expansion of re in re
7.465 * [backup-simplify]: Simplify 0 into 0
7.465 * [backup-simplify]: Simplify 1 into 1
7.465 * [backup-simplify]: Simplify (* 1 1) into 1
7.465 * [backup-simplify]: Simplify (/ 1 1) into 1
7.465 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.465 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.465 * [taylor]: Taking taylor expansion of im in re
7.465 * [backup-simplify]: Simplify im into im
7.465 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.465 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.466 * [backup-simplify]: Simplify (+ 1 0) into 1
7.466 * [backup-simplify]: Simplify (sqrt 1) into 1
7.466 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.467 * [backup-simplify]: Simplify (+ 0 0) into 0
7.467 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.467 * [taylor]: Taking taylor expansion of 1 in im
7.467 * [backup-simplify]: Simplify 1 into 1
7.467 * [taylor]: Taking taylor expansion of 0 in im
7.467 * [backup-simplify]: Simplify 0 into 0
7.467 * [backup-simplify]: Simplify 1 into 1
7.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.469 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.470 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.470 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.470 * [taylor]: Taking taylor expansion of 1/2 in im
7.470 * [backup-simplify]: Simplify 1/2 into 1/2
7.470 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.470 * [taylor]: Taking taylor expansion of im in im
7.470 * [backup-simplify]: Simplify 0 into 0
7.470 * [backup-simplify]: Simplify 1 into 1
7.470 * [backup-simplify]: Simplify (* 1 1) into 1
7.470 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.471 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.471 * [backup-simplify]: Simplify 0 into 0
7.471 * [backup-simplify]: Simplify 0 into 0
7.471 * [backup-simplify]: Simplify 0 into 0
7.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.472 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.473 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.473 * [backup-simplify]: Simplify (+ 0 0) into 0
7.473 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.473 * [taylor]: Taking taylor expansion of 0 in im
7.473 * [backup-simplify]: Simplify 0 into 0
7.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.474 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.474 * [backup-simplify]: Simplify 0 into 0
7.475 * [backup-simplify]: Simplify 0 into 0
7.475 * [backup-simplify]: Simplify 0 into 0
7.475 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
7.475 * * * [progress]: simplifying candidates
7.476 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
7.476 * * [simplify]: iteration 0: 38 enodes
7.483 * * [simplify]: iteration 1: 91 enodes
7.506 * * [simplify]: iteration 2: 220 enodes
7.580 * * [simplify]: iteration 3: 528 enodes
7.883 * * [simplify]: iteration 4: 1462 enodes
8.288 * * [simplify]: iteration complete: 5000 enodes
8.288 * * [simplify]: Extracting #0: cost 18 inf + 0
8.288 * * [simplify]: Extracting #1: cost 42 inf + 4
8.289 * * [simplify]: Extracting #2: cost 353 inf + 47
8.292 * * [simplify]: Extracting #3: cost 1457 inf + 1083
8.323 * * [simplify]: Extracting #4: cost 1357 inf + 90562
8.379 * * [simplify]: Extracting #5: cost 462 inf + 277192
8.496 * * [simplify]: Extracting #6: cost 139 inf + 359646
8.603 * * [simplify]: Extracting #7: cost 16 inf + 391513
8.688 * * [simplify]: Extracting #8: cost 0 inf + 396382
8.772 * [simplify]: Simplified to:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* (* im im) (* im im)) (* im im))))
  (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (* (- re im) (+ re im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* (* im im) (* im im)) (* im im))))
  (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (* (- re im) (+ re im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* (* im im) (* im im)) (* im im))))
  (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (* (- re im) (+ re im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* (* im im) (* im im)) (* im im))))
  (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (* (- re im) (+ re im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  im
  re
  (- re)
  im
  re
  (- re)
  im
  re
  (- re)
  im
  re
  (- re)
8.797 * * * [progress]: adding candidates to table
9.409 * [progress]: [Phase 3 of 3] Extracting.
9.410 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>)
9.416 * * * [regime-changes]: Trying 7 branch expressions: ((* im im) (+ (sqrt (+ (* re re) (* im im))) re) (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) im re)
9.416 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>)
9.543 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>)
9.636 * * * * [regimes]: Trying to branch on (+ (sqrt (+ (* re re) (* im im))) re) from (#<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>)
9.728 * * * * [regimes]: Trying to branch on (+ (sqrt (+ (* re re) (* im im))) re) from (#<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))>)
9.774 * * * * [regimes]: Trying to branch on (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) from (#<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>)
9.889 * * * * [regimes]: Trying to branch on (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) from (#<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))>)
9.926 * * * * [regimes]: Trying to branch on (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) from (#<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>)
10.016 * * * * [regimes]: Trying to branch on (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) from (#<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))>)
10.070 * * * * [regimes]: Trying to branch on (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) from (#<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>)
10.203 * * * * [regimes]: Trying to branch on (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) from (#<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))>)
10.281 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>)
10.394 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>)
10.504 * * * [regime]: Found split indices: #<option (#s(si 3 24) #s(si 6 34) #s(si 0 128) #s(si 5 214) #s(si 1 255))>
10.504 * [binary-search]: Improving bounds with binary search for re and (#<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>)
10.880 * [regimes]: Found splitpoints: (#s(sp 3 re -1.756706552252228e+164) #s(sp 6 re -1.0167980430801172e+113) #s(sp 0 re -5.204735522622993e-274) #s(sp 5 re 7.747777771049568e+94) #s(sp 1 re +nan.0)) , with alts (#<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>)
10.880 * [simplify]: Simplifying:
  (if (<= re -1.756706552252228e+164) (* 0.5 0) (if (<= re -1.0167980430801172e+113) (* 0.5 (sqrt (* 2.0 (+ re im)))) (if (<= re -5.204735522622993e-274) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (if (<= re 7.747777771049568e+94) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* 0.5 (sqrt (* 2.0 (+ re re))))))))
10.881 * * [simplify]: iteration 0: 41 enodes
10.883 * * [simplify]: iteration 1: 54 enodes
10.887 * * [simplify]: iteration 2: 55 enodes
10.890 * * [simplify]: iteration complete: 55 enodes
10.890 * * [simplify]: Extracting #0: cost 1 inf + 0
10.890 * * [simplify]: Extracting #1: cost 4 inf + 0
10.890 * * [simplify]: Extracting #2: cost 8 inf + 1
10.890 * * [simplify]: Extracting #3: cost 12 inf + 3
10.890 * * [simplify]: Extracting #4: cost 14 inf + 139
10.891 * * [simplify]: Extracting #5: cost 19 inf + 207
10.891 * * [simplify]: Extracting #6: cost 21 inf + 276
10.891 * * [simplify]: Extracting #7: cost 24 inf + 277
10.891 * * [simplify]: Extracting #8: cost 17 inf + 975
10.892 * * [simplify]: Extracting #9: cost 16 inf + 1220
10.892 * * [simplify]: Extracting #10: cost 14 inf + 1383
10.893 * * [simplify]: Extracting #11: cost 13 inf + 1505
10.893 * * [simplify]: Extracting #12: cost 11 inf + 1869
10.894 * * [simplify]: Extracting #13: cost 8 inf + 2556
10.895 * * [simplify]: Extracting #14: cost 5 inf + 3526
10.897 * * [simplify]: Extracting #15: cost 1 inf + 6808
10.899 * * [simplify]: Extracting #16: cost 0 inf + 8217
10.900 * [simplify]: Simplified to:
  (if (<= re -1.756706552252228e+164) 0 (if (<= re -1.0167980430801172e+113) (* (sqrt (* 2.0 (+ re im))) 0.5) (if (<= re -5.204735522622993e-274) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (if (<= re 7.747777771049568e+94) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))) (* 0.5 (sqrt (* 2.0 (+ re re))))))))
14.664 * [regime-testing]: Baseline error score: 38.357846422974106
14.682 * [regime-testing]: Oracle error score: 16.86963750123804
14.719 * [regime-testing]: End program error score: 27.195077242700172
14.862 * [regime-testing]: Target error score: 33.33878973716128