20.292 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.062 * * * [progress]: [2/2] Setting up program.
0.070 * [progress]: [Phase 2 of 3] Improving.
0.071 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
0.071 * * [simplify]: iteration 0: 12 enodes
0.075 * * [simplify]: iteration 1: 22 enodes
0.081 * * [simplify]: iteration 2: 24 enodes
0.086 * * [simplify]: iteration complete: 24 enodes
0.086 * * [simplify]: Extracting #0: cost 1 inf + 0
0.086 * * [simplify]: Extracting #1: cost 3 inf + 0
0.086 * * [simplify]: Extracting #2: cost 3 inf + 1
0.087 * * [simplify]: Extracting #3: cost 7 inf + 1
0.087 * * [simplify]: Extracting #4: cost 8 inf + 2
0.087 * * [simplify]: Extracting #5: cost 8 inf + 3
0.087 * * [simplify]: Extracting #6: cost 9 inf + 6
0.087 * * [simplify]: Extracting #7: cost 9 inf + 9
0.087 * * [simplify]: Extracting #8: cost 7 inf + 13
0.087 * * [simplify]: Extracting #9: cost 5 inf + 28
0.087 * * [simplify]: Extracting #10: cost 2 inf + 60
0.087 * * [simplify]: Extracting #11: cost 0 inf + 88
0.087 * [simplify]: Simplified to:
  (* 0.5 (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2.0)))
0.098 * * [progress]: iteration 1 / 4
0.099 * * * [progress]: picking best candidate
0.117 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))>
0.117 * * * [progress]: localizing error
0.140 * * * [progress]: generating rewritten candidates
0.140 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1)
0.149 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2)
0.172 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
0.195 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1)
0.202 * * * [progress]: generating series expansions
0.202 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1)
0.203 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
0.203 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
0.203 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.203 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.203 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.203 * [taylor]: Taking taylor expansion of im in im
0.203 * [backup-simplify]: Simplify 0 into 0
0.203 * [backup-simplify]: Simplify 1 into 1
0.203 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.203 * [taylor]: Taking taylor expansion of re in im
0.203 * [backup-simplify]: Simplify re into re
0.203 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.203 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.203 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.203 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.204 * [backup-simplify]: Simplify (+ 0 0) into 0
0.204 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.204 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.204 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.204 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.204 * [taylor]: Taking taylor expansion of im in re
0.204 * [backup-simplify]: Simplify im into im
0.204 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.204 * [taylor]: Taking taylor expansion of re in re
0.204 * [backup-simplify]: Simplify 0 into 0
0.204 * [backup-simplify]: Simplify 1 into 1
0.204 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.204 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.204 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.204 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.204 * [backup-simplify]: Simplify (+ 0 0) into 0
0.205 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.205 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.205 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.205 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.205 * [taylor]: Taking taylor expansion of im in re
0.205 * [backup-simplify]: Simplify im into im
0.205 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.205 * [taylor]: Taking taylor expansion of re in re
0.205 * [backup-simplify]: Simplify 0 into 0
0.205 * [backup-simplify]: Simplify 1 into 1
0.205 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.205 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.205 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.205 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.205 * [backup-simplify]: Simplify (+ 0 0) into 0
0.205 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.205 * [taylor]: Taking taylor expansion of im in im
0.205 * [backup-simplify]: Simplify 0 into 0
0.205 * [backup-simplify]: Simplify 1 into 1
0.205 * [backup-simplify]: Simplify 0 into 0
0.205 * [taylor]: Taking taylor expansion of 0 in im
0.205 * [backup-simplify]: Simplify 0 into 0
0.205 * [backup-simplify]: Simplify 0 into 0
0.205 * [backup-simplify]: Simplify 1 into 1
0.206 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.206 * [backup-simplify]: Simplify (* 1 1) into 1
0.206 * [backup-simplify]: Simplify (+ 0 1) into 1
0.207 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.207 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.207 * [taylor]: Taking taylor expansion of 1/2 in im
0.207 * [backup-simplify]: Simplify 1/2 into 1/2
0.207 * [taylor]: Taking taylor expansion of im in im
0.207 * [backup-simplify]: Simplify 0 into 0
0.207 * [backup-simplify]: Simplify 1 into 1
0.207 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.208 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.208 * [backup-simplify]: Simplify 0 into 0
0.208 * [backup-simplify]: Simplify 0 into 0
0.208 * [backup-simplify]: Simplify 0 into 0
0.208 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.209 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.209 * [backup-simplify]: Simplify (+ 0 0) into 0
0.209 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.209 * [taylor]: Taking taylor expansion of 0 in im
0.209 * [backup-simplify]: Simplify 0 into 0
0.209 * [backup-simplify]: Simplify 0 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 (* 1 (* im 1)) into im
0.210 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
0.210 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
0.210 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.210 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.210 * [taylor]: Taking taylor expansion of re in im
0.210 * [backup-simplify]: Simplify re into re
0.210 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.210 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.210 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.210 * [taylor]: Taking taylor expansion of im in im
0.210 * [backup-simplify]: Simplify 0 into 0
0.210 * [backup-simplify]: Simplify 1 into 1
0.211 * [backup-simplify]: Simplify (* 1 1) into 1
0.211 * [backup-simplify]: Simplify (/ 1 1) into 1
0.211 * [backup-simplify]: Simplify (+ 0 1) into 1
0.211 * [backup-simplify]: Simplify (sqrt 1) into 1
0.212 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.212 * [backup-simplify]: Simplify (+ 0 0) into 0
0.213 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.213 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.213 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.213 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.213 * [taylor]: Taking taylor expansion of re in re
0.213 * [backup-simplify]: Simplify 0 into 0
0.213 * [backup-simplify]: Simplify 1 into 1
0.213 * [backup-simplify]: Simplify (* 1 1) into 1
0.213 * [backup-simplify]: Simplify (/ 1 1) into 1
0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.213 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.213 * [taylor]: Taking taylor expansion of im in re
0.213 * [backup-simplify]: Simplify im into im
0.214 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.214 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.214 * [backup-simplify]: Simplify (+ 1 0) into 1
0.214 * [backup-simplify]: Simplify (sqrt 1) into 1
0.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.215 * [backup-simplify]: Simplify (+ 0 0) into 0
0.216 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.216 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.216 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.216 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.216 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.216 * [taylor]: Taking taylor expansion of re in re
0.216 * [backup-simplify]: Simplify 0 into 0
0.216 * [backup-simplify]: Simplify 1 into 1
0.216 * [backup-simplify]: Simplify (* 1 1) into 1
0.216 * [backup-simplify]: Simplify (/ 1 1) into 1
0.216 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.216 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.216 * [taylor]: Taking taylor expansion of im in re
0.216 * [backup-simplify]: Simplify im into im
0.216 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.217 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.217 * [backup-simplify]: Simplify (+ 1 0) into 1
0.217 * [backup-simplify]: Simplify (sqrt 1) into 1
0.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.218 * [backup-simplify]: Simplify (+ 0 0) into 0
0.219 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.219 * [taylor]: Taking taylor expansion of 1 in im
0.219 * [backup-simplify]: Simplify 1 into 1
0.219 * [taylor]: Taking taylor expansion of 0 in im
0.219 * [backup-simplify]: Simplify 0 into 0
0.219 * [backup-simplify]: Simplify 1 into 1
0.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.220 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.221 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.221 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.221 * [taylor]: Taking taylor expansion of 1/2 in im
0.221 * [backup-simplify]: Simplify 1/2 into 1/2
0.221 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.221 * [taylor]: Taking taylor expansion of im in im
0.221 * [backup-simplify]: Simplify 0 into 0
0.221 * [backup-simplify]: Simplify 1 into 1
0.221 * [backup-simplify]: Simplify (* 1 1) into 1
0.221 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.222 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.222 * [backup-simplify]: Simplify 0 into 0
0.222 * [backup-simplify]: Simplify 0 into 0
0.222 * [backup-simplify]: Simplify 0 into 0
0.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.224 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.224 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.224 * [backup-simplify]: Simplify (+ 0 0) into 0
0.224 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.225 * [taylor]: Taking taylor expansion of 0 in im
0.225 * [backup-simplify]: Simplify 0 into 0
0.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.226 * [backup-simplify]: Simplify 0 into 0
0.226 * [backup-simplify]: Simplify 0 into 0
0.226 * [backup-simplify]: Simplify 0 into 0
0.226 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.226 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
0.226 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
0.226 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.226 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.226 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.226 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.226 * [taylor]: Taking taylor expansion of re in im
0.226 * [backup-simplify]: Simplify re into re
0.226 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.226 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.226 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.226 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.226 * [taylor]: Taking taylor expansion of im in im
0.226 * [backup-simplify]: Simplify 0 into 0
0.226 * [backup-simplify]: Simplify 1 into 1
0.227 * [backup-simplify]: Simplify (* 1 1) into 1
0.227 * [backup-simplify]: Simplify (/ 1 1) into 1
0.227 * [backup-simplify]: Simplify (+ 0 1) into 1
0.227 * [backup-simplify]: Simplify (sqrt 1) into 1
0.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.229 * [backup-simplify]: Simplify (+ 0 0) into 0
0.229 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.229 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.229 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.229 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.229 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.229 * [taylor]: Taking taylor expansion of re in re
0.229 * [backup-simplify]: Simplify 0 into 0
0.229 * [backup-simplify]: Simplify 1 into 1
0.229 * [backup-simplify]: Simplify (* 1 1) into 1
0.230 * [backup-simplify]: Simplify (/ 1 1) into 1
0.230 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.230 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.230 * [taylor]: Taking taylor expansion of im in re
0.230 * [backup-simplify]: Simplify im into im
0.230 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.230 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.230 * [backup-simplify]: Simplify (+ 1 0) into 1
0.230 * [backup-simplify]: Simplify (sqrt 1) into 1
0.231 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.232 * [backup-simplify]: Simplify (+ 0 0) into 0
0.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.232 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.232 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.232 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.232 * [taylor]: Taking taylor expansion of re in re
0.232 * [backup-simplify]: Simplify 0 into 0
0.232 * [backup-simplify]: Simplify 1 into 1
0.232 * [backup-simplify]: Simplify (* 1 1) into 1
0.233 * [backup-simplify]: Simplify (/ 1 1) into 1
0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.233 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.233 * [taylor]: Taking taylor expansion of im in re
0.233 * [backup-simplify]: Simplify im into im
0.233 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.233 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.233 * [backup-simplify]: Simplify (+ 1 0) into 1
0.233 * [backup-simplify]: Simplify (sqrt 1) into 1
0.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.234 * [backup-simplify]: Simplify (+ 0 0) into 0
0.235 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.235 * [taylor]: Taking taylor expansion of 1 in im
0.235 * [backup-simplify]: Simplify 1 into 1
0.235 * [taylor]: Taking taylor expansion of 0 in im
0.235 * [backup-simplify]: Simplify 0 into 0
0.235 * [backup-simplify]: Simplify 1 into 1
0.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.236 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.237 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.237 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.237 * [taylor]: Taking taylor expansion of 1/2 in im
0.237 * [backup-simplify]: Simplify 1/2 into 1/2
0.237 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.237 * [taylor]: Taking taylor expansion of im in im
0.237 * [backup-simplify]: Simplify 0 into 0
0.237 * [backup-simplify]: Simplify 1 into 1
0.237 * [backup-simplify]: Simplify (* 1 1) into 1
0.238 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.238 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.239 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.239 * [backup-simplify]: Simplify 0 into 0
0.239 * [backup-simplify]: Simplify 0 into 0
0.239 * [backup-simplify]: Simplify 0 into 0
0.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.240 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.240 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.240 * [backup-simplify]: Simplify (+ 0 0) into 0
0.241 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.241 * [taylor]: Taking taylor expansion of 0 in im
0.241 * [backup-simplify]: Simplify 0 into 0
0.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 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 (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.242 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2)
0.243 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2))))
0.243 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0
0.243 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
0.243 * [taylor]: Taking taylor expansion of re in im
0.243 * [backup-simplify]: Simplify re into re
0.243 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.243 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 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 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.243 * [taylor]: Taking taylor expansion of re in im
0.243 * [backup-simplify]: Simplify re into re
0.243 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.243 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.243 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.243 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.243 * [backup-simplify]: Simplify (+ 0 0) into 0
0.243 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.243 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.243 * [taylor]: Taking taylor expansion of re in re
0.243 * [backup-simplify]: Simplify 0 into 0
0.243 * [backup-simplify]: Simplify 1 into 1
0.243 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.243 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.244 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.244 * [taylor]: Taking taylor expansion of im in re
0.244 * [backup-simplify]: Simplify im into im
0.244 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.244 * [taylor]: Taking taylor expansion of re in re
0.244 * [backup-simplify]: Simplify 0 into 0
0.244 * [backup-simplify]: Simplify 1 into 1
0.244 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.244 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.244 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.244 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.244 * [backup-simplify]: Simplify (+ 0 0) into 0
0.244 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.244 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.244 * [taylor]: Taking taylor expansion of re in re
0.244 * [backup-simplify]: Simplify 0 into 0
0.244 * [backup-simplify]: Simplify 1 into 1
0.244 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.244 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.244 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.244 * [taylor]: Taking taylor expansion of im in re
0.244 * [backup-simplify]: Simplify im into im
0.244 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.244 * [taylor]: Taking taylor expansion of re in re
0.244 * [backup-simplify]: Simplify 0 into 0
0.244 * [backup-simplify]: Simplify 1 into 1
0.244 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.245 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.245 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.245 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.245 * [backup-simplify]: Simplify (+ 0 0) into 0
0.245 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.245 * [backup-simplify]: Simplify (+ 0 im) into im
0.245 * [taylor]: Taking taylor expansion of im in im
0.245 * [backup-simplify]: Simplify 0 into 0
0.245 * [backup-simplify]: Simplify 1 into 1
0.245 * [backup-simplify]: Simplify 0 into 0
0.245 * [backup-simplify]: Simplify (+ 1 0) into 1
0.245 * [taylor]: Taking taylor expansion of 1 in im
0.245 * [backup-simplify]: Simplify 1 into 1
0.246 * [backup-simplify]: Simplify 1 into 1
0.246 * [backup-simplify]: Simplify 1 into 1
0.246 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.246 * [backup-simplify]: Simplify (* 1 1) into 1
0.246 * [backup-simplify]: Simplify (+ 0 1) into 1
0.247 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.247 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.247 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
0.247 * [taylor]: Taking taylor expansion of 1/2 in im
0.247 * [backup-simplify]: Simplify 1/2 into 1/2
0.247 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.247 * [taylor]: Taking taylor expansion of im in im
0.247 * [backup-simplify]: Simplify 0 into 0
0.247 * [backup-simplify]: Simplify 1 into 1
0.247 * [backup-simplify]: Simplify (/ 1 1) into 1
0.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.248 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.248 * [backup-simplify]: Simplify 0 into 0
0.248 * [backup-simplify]: Simplify 0 into 0
0.248 * [backup-simplify]: Simplify 0 into 0
0.249 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.249 * [backup-simplify]: Simplify (+ 0 0) into 0
0.249 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.250 * [backup-simplify]: Simplify (+ 0 0) into 0
0.250 * [taylor]: Taking taylor expansion of 0 in im
0.250 * [backup-simplify]: Simplify 0 into 0
0.250 * [backup-simplify]: Simplify 0 into 0
0.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.251 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.251 * [backup-simplify]: Simplify 0 into 0
0.251 * [backup-simplify]: Simplify 0 into 0
0.251 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
0.251 * [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)))))
0.251 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
0.251 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
0.251 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.251 * [taylor]: Taking taylor expansion of re in im
0.251 * [backup-simplify]: Simplify re into re
0.251 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.251 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.251 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.252 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.252 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.252 * [taylor]: Taking taylor expansion of re in im
0.252 * [backup-simplify]: Simplify re into re
0.252 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.252 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.252 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.252 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.252 * [taylor]: Taking taylor expansion of im in im
0.252 * [backup-simplify]: Simplify 0 into 0
0.252 * [backup-simplify]: Simplify 1 into 1
0.252 * [backup-simplify]: Simplify (* 1 1) into 1
0.252 * [backup-simplify]: Simplify (/ 1 1) into 1
0.253 * [backup-simplify]: Simplify (+ 0 1) into 1
0.253 * [backup-simplify]: Simplify (sqrt 1) into 1
0.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.254 * [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) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.254 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.254 * [taylor]: Taking taylor expansion of re in re
0.254 * [backup-simplify]: Simplify 0 into 0
0.254 * [backup-simplify]: Simplify 1 into 1
0.255 * [backup-simplify]: Simplify (/ 1 1) into 1
0.255 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.255 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.255 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.255 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.255 * [taylor]: Taking taylor expansion of re in re
0.255 * [backup-simplify]: Simplify 0 into 0
0.255 * [backup-simplify]: Simplify 1 into 1
0.255 * [backup-simplify]: Simplify (* 1 1) into 1
0.255 * [backup-simplify]: Simplify (/ 1 1) into 1
0.255 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.255 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.255 * [taylor]: Taking taylor expansion of im in re
0.255 * [backup-simplify]: Simplify im into im
0.255 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.255 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.256 * [backup-simplify]: Simplify (+ 1 0) into 1
0.256 * [backup-simplify]: Simplify (sqrt 1) into 1
0.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.257 * [backup-simplify]: Simplify (+ 0 0) into 0
0.257 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.257 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.258 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.258 * [taylor]: Taking taylor expansion of re in re
0.258 * [backup-simplify]: Simplify 0 into 0
0.258 * [backup-simplify]: Simplify 1 into 1
0.258 * [backup-simplify]: Simplify (/ 1 1) into 1
0.258 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.258 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.258 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.258 * [taylor]: Taking taylor expansion of re in re
0.258 * [backup-simplify]: Simplify 0 into 0
0.258 * [backup-simplify]: Simplify 1 into 1
0.258 * [backup-simplify]: Simplify (* 1 1) into 1
0.258 * [backup-simplify]: Simplify (/ 1 1) into 1
0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.258 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.258 * [taylor]: Taking taylor expansion of im in re
0.259 * [backup-simplify]: Simplify im into im
0.259 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.259 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.259 * [backup-simplify]: Simplify (+ 1 0) into 1
0.259 * [backup-simplify]: Simplify (sqrt 1) into 1
0.260 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.260 * [backup-simplify]: Simplify (+ 0 0) into 0
0.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.261 * [backup-simplify]: Simplify (+ 1 1) into 2
0.261 * [taylor]: Taking taylor expansion of 2 in im
0.261 * [backup-simplify]: Simplify 2 into 2
0.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.262 * [backup-simplify]: Simplify (+ 0 0) into 0
0.262 * [taylor]: Taking taylor expansion of 0 in im
0.262 * [backup-simplify]: Simplify 0 into 0
0.262 * [backup-simplify]: Simplify 2 into 2
0.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.264 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.264 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.264 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.264 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.265 * [taylor]: Taking taylor expansion of 1/2 in im
0.265 * [backup-simplify]: Simplify 1/2 into 1/2
0.265 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.265 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.265 * [taylor]: Taking taylor expansion of im in im
0.265 * [backup-simplify]: Simplify 0 into 0
0.265 * [backup-simplify]: Simplify 1 into 1
0.265 * [backup-simplify]: Simplify (* 1 1) into 1
0.265 * [backup-simplify]: Simplify (/ 1 1) into 1
0.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.266 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.266 * [backup-simplify]: Simplify 0 into 0
0.266 * [backup-simplify]: Simplify 0 into 0
0.266 * [backup-simplify]: Simplify 0 into 0
0.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.268 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.268 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.269 * [backup-simplify]: Simplify (+ 0 0) into 0
0.269 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.269 * [backup-simplify]: Simplify (+ 0 0) into 0
0.269 * [taylor]: Taking taylor expansion of 0 in im
0.269 * [backup-simplify]: Simplify 0 into 0
0.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.271 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.271 * [backup-simplify]: Simplify 0 into 0
0.271 * [backup-simplify]: Simplify 0 into 0
0.271 * [backup-simplify]: Simplify 0 into 0
0.271 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
0.271 * [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))
0.271 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
0.271 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
0.271 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.271 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.271 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.271 * [taylor]: Taking taylor expansion of re in im
0.272 * [backup-simplify]: Simplify re into re
0.272 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.272 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.272 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.272 * [taylor]: Taking taylor expansion of im in im
0.272 * [backup-simplify]: Simplify 0 into 0
0.272 * [backup-simplify]: Simplify 1 into 1
0.272 * [backup-simplify]: Simplify (* 1 1) into 1
0.272 * [backup-simplify]: Simplify (/ 1 1) into 1
0.273 * [backup-simplify]: Simplify (+ 0 1) into 1
0.273 * [backup-simplify]: Simplify (sqrt 1) into 1
0.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.274 * [backup-simplify]: Simplify (+ 0 0) into 0
0.274 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.274 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.274 * [taylor]: Taking taylor expansion of re in im
0.274 * [backup-simplify]: Simplify re into re
0.274 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.274 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.274 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.274 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.274 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.274 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.274 * [taylor]: Taking taylor expansion of re in re
0.274 * [backup-simplify]: Simplify 0 into 0
0.274 * [backup-simplify]: Simplify 1 into 1
0.275 * [backup-simplify]: Simplify (* 1 1) into 1
0.275 * [backup-simplify]: Simplify (/ 1 1) into 1
0.275 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.275 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.275 * [taylor]: Taking taylor expansion of im in re
0.275 * [backup-simplify]: Simplify im into im
0.275 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.275 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.275 * [backup-simplify]: Simplify (+ 1 0) into 1
0.277 * [backup-simplify]: Simplify (sqrt 1) into 1
0.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.279 * [backup-simplify]: Simplify (+ 0 0) into 0
0.279 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.279 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.279 * [taylor]: Taking taylor expansion of re in re
0.279 * [backup-simplify]: Simplify 0 into 0
0.279 * [backup-simplify]: Simplify 1 into 1
0.279 * [backup-simplify]: Simplify (/ 1 1) into 1
0.279 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.279 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.279 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.279 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.279 * [taylor]: Taking taylor expansion of re in re
0.279 * [backup-simplify]: Simplify 0 into 0
0.279 * [backup-simplify]: Simplify 1 into 1
0.280 * [backup-simplify]: Simplify (* 1 1) into 1
0.280 * [backup-simplify]: Simplify (/ 1 1) into 1
0.280 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.280 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.280 * [taylor]: Taking taylor expansion of im in re
0.280 * [backup-simplify]: Simplify im into im
0.280 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.280 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.280 * [backup-simplify]: Simplify (+ 1 0) into 1
0.281 * [backup-simplify]: Simplify (sqrt 1) into 1
0.281 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.282 * [backup-simplify]: Simplify (+ 0 0) into 0
0.282 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.282 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.282 * [taylor]: Taking taylor expansion of re in re
0.282 * [backup-simplify]: Simplify 0 into 0
0.282 * [backup-simplify]: Simplify 1 into 1
0.283 * [backup-simplify]: Simplify (/ 1 1) into 1
0.283 * [backup-simplify]: Simplify (- 1) into -1
0.283 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.283 * [taylor]: Taking taylor expansion of 0 in im
0.283 * [backup-simplify]: Simplify 0 into 0
0.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.284 * [backup-simplify]: Simplify (- 0) into 0
0.284 * [backup-simplify]: Simplify (+ 0 0) into 0
0.284 * [taylor]: Taking taylor expansion of 0 in im
0.284 * [backup-simplify]: Simplify 0 into 0
0.284 * [backup-simplify]: Simplify 0 into 0
0.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.285 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.286 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.287 * [backup-simplify]: Simplify (- 0) into 0
0.287 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.287 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.287 * [taylor]: Taking taylor expansion of 1/2 in im
0.287 * [backup-simplify]: Simplify 1/2 into 1/2
0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.287 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.287 * [taylor]: Taking taylor expansion of im in im
0.287 * [backup-simplify]: Simplify 0 into 0
0.287 * [backup-simplify]: Simplify 1 into 1
0.288 * [backup-simplify]: Simplify (* 1 1) into 1
0.288 * [backup-simplify]: Simplify (/ 1 1) into 1
0.288 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.289 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.289 * [backup-simplify]: Simplify 0 into 0
0.289 * [backup-simplify]: Simplify 0 into 0
0.289 * [backup-simplify]: Simplify 0 into 0
0.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.290 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.291 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.291 * [backup-simplify]: Simplify (+ 0 0) into 0
0.291 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.292 * [backup-simplify]: Simplify (- 0) into 0
0.292 * [backup-simplify]: Simplify (+ 0 0) into 0
0.292 * [taylor]: Taking taylor expansion of 0 in im
0.292 * [backup-simplify]: Simplify 0 into 0
0.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.294 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.294 * [backup-simplify]: Simplify 0 into 0
0.294 * [backup-simplify]: Simplify 0 into 0
0.294 * [backup-simplify]: Simplify 0 into 0
0.294 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
0.295 * [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))))))
0.295 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in (re im) around 0
0.295 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in im
0.295 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.295 * [taylor]: Taking taylor expansion of 2.0 in im
0.295 * [backup-simplify]: Simplify 2.0 into 2.0
0.295 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.296 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.296 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im
0.296 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
0.296 * [taylor]: Taking taylor expansion of re in im
0.296 * [backup-simplify]: Simplify re into re
0.296 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.296 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.296 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.296 * [taylor]: Taking taylor expansion of im in im
0.296 * [backup-simplify]: Simplify 0 into 0
0.296 * [backup-simplify]: Simplify 1 into 1
0.296 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.296 * [taylor]: Taking taylor expansion of re in im
0.296 * [backup-simplify]: Simplify re into re
0.297 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.297 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.297 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.297 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.297 * [backup-simplify]: Simplify (+ 0 0) into 0
0.298 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.298 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
0.298 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re))
0.298 * [backup-simplify]: Simplify (+ 0 0) into 0
0.298 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
0.298 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re
0.298 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.298 * [taylor]: Taking taylor expansion of 2.0 in re
0.298 * [backup-simplify]: Simplify 2.0 into 2.0
0.299 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.299 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.300 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re
0.300 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.300 * [taylor]: Taking taylor expansion of re in re
0.300 * [backup-simplify]: Simplify 0 into 0
0.300 * [backup-simplify]: Simplify 1 into 1
0.300 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.300 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.300 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.300 * [taylor]: Taking taylor expansion of im in re
0.300 * [backup-simplify]: Simplify im into im
0.300 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.300 * [taylor]: Taking taylor expansion of re in re
0.300 * [backup-simplify]: Simplify 0 into 0
0.300 * [backup-simplify]: Simplify 1 into 1
0.300 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.300 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.300 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.300 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.301 * [backup-simplify]: Simplify (+ 0 0) into 0
0.301 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.301 * [backup-simplify]: Simplify (+ 0 im) into im
0.301 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.302 * [backup-simplify]: Simplify (+ 1 0) into 1
0.302 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.302 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re
0.302 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.302 * [taylor]: Taking taylor expansion of 2.0 in re
0.302 * [backup-simplify]: Simplify 2.0 into 2.0
0.302 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.303 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re
0.303 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.303 * [taylor]: Taking taylor expansion of re in re
0.303 * [backup-simplify]: Simplify 0 into 0
0.303 * [backup-simplify]: Simplify 1 into 1
0.303 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.303 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.303 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.303 * [taylor]: Taking taylor expansion of im in re
0.303 * [backup-simplify]: Simplify im into im
0.303 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.303 * [taylor]: Taking taylor expansion of re in re
0.303 * [backup-simplify]: Simplify 0 into 0
0.303 * [backup-simplify]: Simplify 1 into 1
0.303 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.304 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.304 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.304 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.305 * [backup-simplify]: Simplify (+ 0 0) into 0
0.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.305 * [backup-simplify]: Simplify (+ 0 im) into im
0.305 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.305 * [backup-simplify]: Simplify (+ 1 0) into 1
0.305 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.306 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
0.306 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
0.306 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.306 * [taylor]: Taking taylor expansion of 2.0 in im
0.306 * [backup-simplify]: Simplify 2.0 into 2.0
0.306 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.307 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.307 * [taylor]: Taking taylor expansion of (sqrt im) in im
0.307 * [taylor]: Taking taylor expansion of im in im
0.307 * [backup-simplify]: Simplify 0 into 0
0.307 * [backup-simplify]: Simplify 1 into 1
0.308 * [backup-simplify]: Simplify (sqrt 0) into 0
0.309 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.310 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.310 * [backup-simplify]: Simplify 0 into 0
0.310 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
0.310 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
0.311 * [taylor]: Taking taylor expansion of 1/2 in im
0.311 * [backup-simplify]: Simplify 1/2 into 1/2
0.311 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
0.311 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.311 * [taylor]: Taking taylor expansion of 2.0 in im
0.311 * [backup-simplify]: Simplify 2.0 into 2.0
0.311 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.312 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.312 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
0.312 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.312 * [taylor]: Taking taylor expansion of im in im
0.312 * [backup-simplify]: Simplify 0 into 0
0.312 * [backup-simplify]: Simplify 1 into 1
0.312 * [backup-simplify]: Simplify (/ 1 1) into 1
0.313 * [backup-simplify]: Simplify (sqrt 0) into 0
0.314 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.316 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.317 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.321 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.322 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.325 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.326 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.327 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.327 * [backup-simplify]: Simplify (* 1 1) into 1
0.328 * [backup-simplify]: Simplify (+ 0 1) into 1
0.328 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.329 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.329 * [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))))
0.330 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.331 * [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)))))
0.331 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
0.332 * [taylor]: Taking taylor expansion of 1/8 in im
0.332 * [backup-simplify]: Simplify 1/8 into 1/8
0.332 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
0.332 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.332 * [taylor]: Taking taylor expansion of 2.0 in im
0.332 * [backup-simplify]: Simplify 2.0 into 2.0
0.332 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.333 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.333 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
0.333 * [taylor]: Taking taylor expansion of (pow im 3) in im
0.333 * [taylor]: Taking taylor expansion of im in im
0.333 * [backup-simplify]: Simplify 0 into 0
0.333 * [backup-simplify]: Simplify 1 into 1
0.334 * [backup-simplify]: Simplify (* 1 1) into 1
0.334 * [backup-simplify]: Simplify (* 1 1) into 1
0.334 * [backup-simplify]: Simplify (/ 1 1) into 1
0.335 * [backup-simplify]: Simplify (sqrt 0) into 0
0.336 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.338 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.340 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.341 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.342 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.344 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.344 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.347 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.348 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.351 * [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)))))))
0.351 * [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)))))))
0.351 * [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
0.351 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im
0.351 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.351 * [taylor]: Taking taylor expansion of 2.0 in im
0.351 * [backup-simplify]: Simplify 2.0 into 2.0
0.352 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.352 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.352 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
0.352 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
0.352 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.352 * [taylor]: Taking taylor expansion of re in im
0.352 * [backup-simplify]: Simplify re into re
0.352 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.352 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.352 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.352 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.352 * [taylor]: Taking taylor expansion of re in im
0.352 * [backup-simplify]: Simplify re into re
0.352 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.352 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.352 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.352 * [taylor]: Taking taylor expansion of im in im
0.352 * [backup-simplify]: Simplify 0 into 0
0.352 * [backup-simplify]: Simplify 1 into 1
0.353 * [backup-simplify]: Simplify (* 1 1) into 1
0.353 * [backup-simplify]: Simplify (/ 1 1) into 1
0.353 * [backup-simplify]: Simplify (+ 0 1) into 1
0.353 * [backup-simplify]: Simplify (sqrt 1) into 1
0.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.354 * [backup-simplify]: Simplify (+ 0 0) into 0
0.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.355 * [backup-simplify]: Simplify (+ 0 1) into 1
0.355 * [backup-simplify]: Simplify (sqrt 0) into 0
0.356 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.356 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re
0.356 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.356 * [taylor]: Taking taylor expansion of 2.0 in re
0.356 * [backup-simplify]: Simplify 2.0 into 2.0
0.357 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.357 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.357 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
0.357 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.357 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.357 * [taylor]: Taking taylor expansion of re in re
0.357 * [backup-simplify]: Simplify 0 into 0
0.357 * [backup-simplify]: Simplify 1 into 1
0.357 * [backup-simplify]: Simplify (/ 1 1) into 1
0.357 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.357 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.357 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.357 * [taylor]: Taking taylor expansion of re in re
0.357 * [backup-simplify]: Simplify 0 into 0
0.357 * [backup-simplify]: Simplify 1 into 1
0.358 * [backup-simplify]: Simplify (* 1 1) into 1
0.358 * [backup-simplify]: Simplify (/ 1 1) into 1
0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.358 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.358 * [taylor]: Taking taylor expansion of im in re
0.358 * [backup-simplify]: Simplify im into im
0.358 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.358 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.358 * [backup-simplify]: Simplify (+ 1 0) into 1
0.359 * [backup-simplify]: Simplify (sqrt 1) into 1
0.359 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.360 * [backup-simplify]: Simplify (+ 0 0) into 0
0.360 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.360 * [backup-simplify]: Simplify (+ 1 1) into 2
0.361 * [backup-simplify]: Simplify (sqrt 0) into 0
0.361 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.361 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re
0.361 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.361 * [taylor]: Taking taylor expansion of 2.0 in re
0.361 * [backup-simplify]: Simplify 2.0 into 2.0
0.362 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.362 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.362 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
0.362 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.362 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.362 * [taylor]: Taking taylor expansion of re in re
0.362 * [backup-simplify]: Simplify 0 into 0
0.362 * [backup-simplify]: Simplify 1 into 1
0.362 * [backup-simplify]: Simplify (/ 1 1) into 1
0.362 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.362 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.363 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.363 * [taylor]: Taking taylor expansion of re in re
0.363 * [backup-simplify]: Simplify 0 into 0
0.363 * [backup-simplify]: Simplify 1 into 1
0.363 * [backup-simplify]: Simplify (* 1 1) into 1
0.363 * [backup-simplify]: Simplify (/ 1 1) into 1
0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.363 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.363 * [taylor]: Taking taylor expansion of im in re
0.363 * [backup-simplify]: Simplify im into im
0.363 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.363 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.364 * [backup-simplify]: Simplify (+ 1 0) into 1
0.364 * [backup-simplify]: Simplify (sqrt 1) into 1
0.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.365 * [backup-simplify]: Simplify (+ 0 0) into 0
0.365 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.366 * [backup-simplify]: Simplify (+ 1 1) into 2
0.366 * [backup-simplify]: Simplify (sqrt 0) into 0
0.367 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.367 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.367 * [taylor]: Taking taylor expansion of 0 in im
0.367 * [backup-simplify]: Simplify 0 into 0
0.368 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.368 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) 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 * [backup-simplify]: Simplify 0 into 0
0.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.370 * [backup-simplify]: Simplify (+ 0 0) into 0
0.372 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.372 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.374 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.374 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.374 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.374 * [taylor]: Taking taylor expansion of +nan.0 in im
0.374 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.374 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.374 * [taylor]: Taking taylor expansion of 2.0 in im
0.374 * [backup-simplify]: Simplify 2.0 into 2.0
0.375 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.375 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.376 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.378 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.379 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.379 * [backup-simplify]: Simplify 0 into 0
0.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.383 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.384 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.384 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.387 * [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))
0.388 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.390 * [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))))))
0.390 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
0.390 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
0.390 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.390 * [taylor]: Taking taylor expansion of +nan.0 in im
0.390 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.390 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.390 * [taylor]: Taking taylor expansion of 2.0 in im
0.390 * [backup-simplify]: Simplify 2.0 into 2.0
0.392 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.393 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.393 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.394 * [taylor]: Taking taylor expansion of +nan.0 in im
0.394 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.394 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.394 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.394 * [taylor]: Taking taylor expansion of 2.0 in im
0.394 * [backup-simplify]: Simplify 2.0 into 2.0
0.394 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.395 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.395 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.395 * [taylor]: Taking taylor expansion of im in im
0.395 * [backup-simplify]: Simplify 0 into 0
0.395 * [backup-simplify]: Simplify 1 into 1
0.395 * [backup-simplify]: Simplify (* 1 1) into 1
0.396 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.397 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.398 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.399 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.399 * [backup-simplify]: Simplify (- 0) into 0
0.400 * [backup-simplify]: Simplify (+ 0 0) into 0
0.400 * [backup-simplify]: Simplify (- 0) into 0
0.400 * [backup-simplify]: Simplify 0 into 0
0.401 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.402 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.403 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.404 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.404 * [backup-simplify]: Simplify (- 0) into 0
0.404 * [backup-simplify]: Simplify 0 into 0
0.404 * [backup-simplify]: Simplify 0 into 0
0.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.406 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.406 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.406 * [backup-simplify]: Simplify (+ 0 0) into 0
0.407 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.407 * [backup-simplify]: Simplify (+ 0 0) into 0
0.408 * [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)))
0.409 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.410 * [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))))))
0.410 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
0.410 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
0.410 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.410 * [taylor]: Taking taylor expansion of +nan.0 in im
0.410 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.410 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.410 * [taylor]: Taking taylor expansion of 2.0 in im
0.410 * [backup-simplify]: Simplify 2.0 into 2.0
0.410 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.411 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.411 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.411 * [taylor]: Taking taylor expansion of +nan.0 in im
0.411 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.411 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.411 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.411 * [taylor]: Taking taylor expansion of 2.0 in im
0.411 * [backup-simplify]: Simplify 2.0 into 2.0
0.411 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.411 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.411 * [taylor]: Taking taylor expansion of im in im
0.412 * [backup-simplify]: Simplify 0 into 0
0.412 * [backup-simplify]: Simplify 1 into 1
0.412 * [backup-simplify]: Simplify (* 1 1) into 1
0.412 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.413 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.413 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.414 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.414 * [backup-simplify]: Simplify (- 0) into 0
0.414 * [backup-simplify]: Simplify (+ 0 0) into 0
0.415 * [backup-simplify]: Simplify (- 0) into 0
0.415 * [backup-simplify]: Simplify 0 into 0
0.415 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.416 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.417 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.418 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.418 * [backup-simplify]: Simplify (- 0) into 0
0.419 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
0.420 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.421 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.424 * [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))))))))
0.424 * [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))))
0.424 * [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
0.424 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im
0.424 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.424 * [taylor]: Taking taylor expansion of 2.0 in im
0.424 * [backup-simplify]: Simplify 2.0 into 2.0
0.425 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.425 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.425 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im
0.425 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
0.425 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.425 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.425 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.425 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.425 * [taylor]: Taking taylor expansion of re in im
0.425 * [backup-simplify]: Simplify re into re
0.425 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.425 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.425 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.425 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.425 * [taylor]: Taking taylor expansion of im in im
0.426 * [backup-simplify]: Simplify 0 into 0
0.426 * [backup-simplify]: Simplify 1 into 1
0.426 * [backup-simplify]: Simplify (* 1 1) into 1
0.426 * [backup-simplify]: Simplify (/ 1 1) into 1
0.427 * [backup-simplify]: Simplify (+ 0 1) into 1
0.427 * [backup-simplify]: Simplify (sqrt 1) into 1
0.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.429 * [backup-simplify]: Simplify (+ 0 0) into 0
0.430 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.430 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.430 * [taylor]: Taking taylor expansion of re in im
0.430 * [backup-simplify]: Simplify re into re
0.430 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.431 * [backup-simplify]: Simplify (+ 1 0) into 1
0.431 * [backup-simplify]: Simplify (sqrt 0) into 0
0.433 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
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
0.434 * [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
0.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.438 * [backup-simplify]: Simplify (+ 0 0) into 0
0.438 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.438 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.438 * [taylor]: Taking taylor expansion of re in re
0.438 * [backup-simplify]: Simplify 0 into 0
0.439 * [backup-simplify]: Simplify 1 into 1
0.439 * [backup-simplify]: Simplify (/ 1 1) into 1
0.439 * [backup-simplify]: Simplify (- 1) into -1
0.440 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.440 * [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))
0.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.446 * [backup-simplify]: Simplify (- 0) into 0
0.446 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.446 * [backup-simplify]: Simplify (sqrt 0) into 0
0.447 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.447 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re
0.447 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.447 * [taylor]: Taking taylor expansion of 2.0 in re
0.447 * [backup-simplify]: Simplify 2.0 into 2.0
0.448 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.448 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.448 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
0.448 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.448 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.448 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.448 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.448 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.448 * [taylor]: Taking taylor expansion of re in re
0.448 * [backup-simplify]: Simplify 0 into 0
0.449 * [backup-simplify]: Simplify 1 into 1
0.449 * [backup-simplify]: Simplify (* 1 1) into 1
0.449 * [backup-simplify]: Simplify (/ 1 1) into 1
0.449 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.449 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.449 * [taylor]: Taking taylor expansion of im in re
0.449 * [backup-simplify]: Simplify im into im
0.449 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.450 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.450 * [backup-simplify]: Simplify (+ 1 0) into 1
0.450 * [backup-simplify]: Simplify (sqrt 1) into 1
0.451 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.452 * [backup-simplify]: Simplify (+ 0 0) into 0
0.453 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.453 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.453 * [taylor]: Taking taylor expansion of re in re
0.453 * [backup-simplify]: Simplify 0 into 0
0.453 * [backup-simplify]: Simplify 1 into 1
0.453 * [backup-simplify]: Simplify (/ 1 1) into 1
0.454 * [backup-simplify]: Simplify (- 1) into -1
0.454 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.455 * [backup-simplify]: Simplify (- 0) into 0
0.456 * [backup-simplify]: Simplify (+ 0 0) into 0
0.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.458 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.459 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.460 * [backup-simplify]: Simplify (- 0) into 0
0.461 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.461 * [backup-simplify]: Simplify (sqrt 0) into 0
0.462 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.462 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.462 * [taylor]: Taking taylor expansion of 0 in im
0.462 * [backup-simplify]: Simplify 0 into 0
0.463 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
0.463 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.463 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.464 * [taylor]: Taking taylor expansion of +nan.0 in im
0.464 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.464 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.464 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.464 * [taylor]: Taking taylor expansion of 2.0 in im
0.464 * [backup-simplify]: Simplify 2.0 into 2.0
0.464 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.465 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.465 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.465 * [taylor]: Taking taylor expansion of im in im
0.465 * [backup-simplify]: Simplify 0 into 0
0.465 * [backup-simplify]: Simplify 1 into 1
0.465 * [backup-simplify]: Simplify (* 1 1) into 1
0.466 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.469 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.469 * [backup-simplify]: Simplify (- 0) into 0
0.469 * [backup-simplify]: Simplify 0 into 0
0.469 * [backup-simplify]: Simplify 0 into 0
0.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.471 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.472 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.472 * [backup-simplify]: Simplify (+ 0 0) into 0
0.473 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.474 * [backup-simplify]: Simplify (- 0) into 0
0.474 * [backup-simplify]: Simplify (+ 0 0) into 0
0.475 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
0.476 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.478 * [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))))
0.478 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
0.478 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.478 * [taylor]: Taking taylor expansion of +nan.0 in im
0.478 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.478 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.478 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.478 * [taylor]: Taking taylor expansion of 2.0 in im
0.478 * [backup-simplify]: Simplify 2.0 into 2.0
0.478 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.479 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.479 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.479 * [taylor]: Taking taylor expansion of im in im
0.479 * [backup-simplify]: Simplify 0 into 0
0.479 * [backup-simplify]: Simplify 1 into 1
0.480 * [backup-simplify]: Simplify (* 1 1) into 1
0.480 * [backup-simplify]: Simplify (* 1 1) into 1
0.481 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.482 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.484 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.487 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.489 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.490 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.491 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.491 * [backup-simplify]: Simplify (- 0) into 0
0.491 * [backup-simplify]: Simplify 0 into 0
0.491 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.493 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.493 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.494 * [backup-simplify]: Simplify (- 0) into 0
0.494 * [backup-simplify]: Simplify 0 into 0
0.494 * [backup-simplify]: Simplify 0 into 0
0.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.495 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.496 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.496 * [backup-simplify]: Simplify (+ 0 0) into 0
0.497 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
0.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.497 * [backup-simplify]: Simplify (- 0) into 0
0.498 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
0.498 * [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)))))
0.499 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.500 * [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))))))
0.500 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
0.500 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
0.500 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.500 * [taylor]: Taking taylor expansion of +nan.0 in im
0.500 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.500 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.500 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.500 * [taylor]: Taking taylor expansion of 2.0 in im
0.500 * [backup-simplify]: Simplify 2.0 into 2.0
0.500 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.501 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.501 * [taylor]: Taking taylor expansion of im in im
0.501 * [backup-simplify]: Simplify 0 into 0
0.501 * [backup-simplify]: Simplify 1 into 1
0.501 * [backup-simplify]: Simplify (* 1 1) into 1
0.501 * [backup-simplify]: Simplify (* 1 1) into 1
0.502 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.502 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
0.502 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
0.502 * [taylor]: Taking taylor expansion of +nan.0 in im
0.502 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.502 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
0.502 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.502 * [taylor]: Taking taylor expansion of 2.0 in im
0.502 * [backup-simplify]: Simplify 2.0 into 2.0
0.502 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.503 * [taylor]: Taking taylor expansion of (pow im 6) in im
0.503 * [taylor]: Taking taylor expansion of im in im
0.503 * [backup-simplify]: Simplify 0 into 0
0.503 * [backup-simplify]: Simplify 1 into 1
0.503 * [backup-simplify]: Simplify (* 1 1) into 1
0.503 * [backup-simplify]: Simplify (* 1 1) into 1
0.504 * [backup-simplify]: Simplify (* 1 1) into 1
0.504 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.505 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.506 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.510 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.512 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.512 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.513 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.514 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.514 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.515 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.516 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.520 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.522 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.527 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.534 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.536 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.538 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
0.539 * [backup-simplify]: Simplify (- 0) into 0
0.539 * [backup-simplify]: Simplify (+ 0 0) into 0
0.540 * [backup-simplify]: Simplify (- 0) into 0
0.540 * [backup-simplify]: Simplify 0 into 0
0.540 * [backup-simplify]: Simplify 0 into 0
0.540 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1)
0.540 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow im 2) (pow re 2))
0.540 * [approximate]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in (re im) around 0
0.540 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.540 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.540 * [taylor]: Taking taylor expansion of im in im
0.540 * [backup-simplify]: Simplify 0 into 0
0.540 * [backup-simplify]: Simplify 1 into 1
0.540 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.540 * [taylor]: Taking taylor expansion of re in im
0.540 * [backup-simplify]: Simplify re into re
0.540 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.541 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.541 * [taylor]: Taking taylor expansion of im in re
0.541 * [backup-simplify]: Simplify im into im
0.541 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.541 * [taylor]: Taking taylor expansion of re in re
0.541 * [backup-simplify]: Simplify 0 into 0
0.541 * [backup-simplify]: Simplify 1 into 1
0.541 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.541 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.541 * [taylor]: Taking taylor expansion of im in re
0.541 * [backup-simplify]: Simplify im into im
0.541 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.541 * [taylor]: Taking taylor expansion of re in re
0.541 * [backup-simplify]: Simplify 0 into 0
0.541 * [backup-simplify]: Simplify 1 into 1
0.541 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.541 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.541 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.541 * [taylor]: Taking taylor expansion of im in im
0.541 * [backup-simplify]: Simplify 0 into 0
0.542 * [backup-simplify]: Simplify 1 into 1
0.542 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.542 * [backup-simplify]: Simplify (+ 0 0) into 0
0.542 * [taylor]: Taking taylor expansion of 0 in im
0.542 * [backup-simplify]: Simplify 0 into 0
0.542 * [backup-simplify]: Simplify 0 into 0
0.543 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.543 * [backup-simplify]: Simplify (* 1 1) into 1
0.544 * [backup-simplify]: Simplify (+ 0 1) into 1
0.544 * [taylor]: Taking taylor expansion of 1 in im
0.544 * [backup-simplify]: Simplify 1 into 1
0.544 * [backup-simplify]: Simplify 1 into 1
0.544 * [backup-simplify]: Simplify 0 into 0
0.544 * [backup-simplify]: Simplify (* 1 1) into 1
0.544 * [backup-simplify]: Simplify 1 into 1
0.545 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.546 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) 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 0 into 0
0.546 * [backup-simplify]: Simplify 0 into 0
0.547 * [backup-simplify]: Simplify 0 into 0
0.547 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.547 * [backup-simplify]: Simplify 0 into 0
0.548 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0
0.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.550 * [backup-simplify]: Simplify (+ 0 0) into 0
0.550 * [taylor]: Taking taylor expansion of 0 in im
0.550 * [backup-simplify]: Simplify 0 into 0
0.550 * [backup-simplify]: Simplify 0 into 0
0.550 * [backup-simplify]: Simplify 0 into 0
0.550 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow im 2) (pow re 2))
0.550 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))
0.550 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0
0.551 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.551 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.551 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.551 * [taylor]: Taking taylor expansion of re in im
0.551 * [backup-simplify]: Simplify re into re
0.551 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.551 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.551 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.551 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.551 * [taylor]: Taking taylor expansion of im in im
0.551 * [backup-simplify]: Simplify 0 into 0
0.551 * [backup-simplify]: Simplify 1 into 1
0.551 * [backup-simplify]: Simplify (* 1 1) into 1
0.552 * [backup-simplify]: Simplify (/ 1 1) into 1
0.552 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.552 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.552 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.552 * [taylor]: Taking taylor expansion of re in re
0.552 * [backup-simplify]: Simplify 0 into 0
0.552 * [backup-simplify]: Simplify 1 into 1
0.552 * [backup-simplify]: Simplify (* 1 1) into 1
0.553 * [backup-simplify]: Simplify (/ 1 1) into 1
0.553 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.553 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.553 * [taylor]: Taking taylor expansion of im in re
0.553 * [backup-simplify]: Simplify im into im
0.553 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.553 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.553 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.553 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.553 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.553 * [taylor]: Taking taylor expansion of re in re
0.553 * [backup-simplify]: Simplify 0 into 0
0.553 * [backup-simplify]: Simplify 1 into 1
0.553 * [backup-simplify]: Simplify (* 1 1) into 1
0.554 * [backup-simplify]: Simplify (/ 1 1) into 1
0.554 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.554 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.554 * [taylor]: Taking taylor expansion of im in re
0.554 * [backup-simplify]: Simplify im into im
0.554 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.554 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.555 * [backup-simplify]: Simplify (+ 1 0) into 1
0.555 * [taylor]: Taking taylor expansion of 1 in im
0.555 * [backup-simplify]: Simplify 1 into 1
0.555 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.556 * [backup-simplify]: Simplify (+ 0 0) into 0
0.556 * [taylor]: Taking taylor expansion of 0 in im
0.557 * [backup-simplify]: Simplify 0 into 0
0.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.559 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.559 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.559 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.559 * [taylor]: Taking taylor expansion of im in im
0.559 * [backup-simplify]: Simplify 0 into 0
0.559 * [backup-simplify]: Simplify 1 into 1
0.559 * [backup-simplify]: Simplify (* 1 1) into 1
0.560 * [backup-simplify]: Simplify (/ 1 1) into 1
0.560 * [backup-simplify]: Simplify 1 into 1
0.560 * [backup-simplify]: Simplify 1 into 1
0.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.562 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.562 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.563 * [backup-simplify]: Simplify (+ 0 0) into 0
0.563 * [taylor]: Taking taylor expansion of 0 in im
0.563 * [backup-simplify]: Simplify 0 into 0
0.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.564 * [backup-simplify]: Simplify 0 into 0
0.564 * [backup-simplify]: Simplify 0 into 0
0.564 * [backup-simplify]: Simplify 0 into 0
0.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.567 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.568 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.568 * [backup-simplify]: Simplify (+ 0 0) into 0
0.568 * [taylor]: Taking taylor expansion of 0 in im
0.568 * [backup-simplify]: Simplify 0 into 0
0.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.570 * [backup-simplify]: Simplify 0 into 0
0.570 * [backup-simplify]: Simplify 0 into 0
0.570 * [backup-simplify]: Simplify 0 into 0
0.571 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow im 2) (pow re 2))
0.571 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))
0.571 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0
0.571 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.571 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.571 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.571 * [taylor]: Taking taylor expansion of re in im
0.571 * [backup-simplify]: Simplify re into re
0.571 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.571 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.572 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.572 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.572 * [taylor]: Taking taylor expansion of im in im
0.572 * [backup-simplify]: Simplify 0 into 0
0.572 * [backup-simplify]: Simplify 1 into 1
0.572 * [backup-simplify]: Simplify (* 1 1) into 1
0.572 * [backup-simplify]: Simplify (/ 1 1) into 1
0.573 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.573 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.573 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.573 * [taylor]: Taking taylor expansion of re in re
0.573 * [backup-simplify]: Simplify 0 into 0
0.573 * [backup-simplify]: Simplify 1 into 1
0.573 * [backup-simplify]: Simplify (* 1 1) into 1
0.573 * [backup-simplify]: Simplify (/ 1 1) into 1
0.573 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.573 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.574 * [taylor]: Taking taylor expansion of im in re
0.574 * [backup-simplify]: Simplify im into im
0.574 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.574 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.574 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.574 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.574 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.574 * [taylor]: Taking taylor expansion of re in re
0.574 * [backup-simplify]: Simplify 0 into 0
0.574 * [backup-simplify]: Simplify 1 into 1
0.574 * [backup-simplify]: Simplify (* 1 1) into 1
0.575 * [backup-simplify]: Simplify (/ 1 1) into 1
0.575 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.575 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.575 * [taylor]: Taking taylor expansion of im in re
0.575 * [backup-simplify]: Simplify im into im
0.575 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.575 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.576 * [backup-simplify]: Simplify (+ 1 0) into 1
0.576 * [taylor]: Taking taylor expansion of 1 in im
0.576 * [backup-simplify]: Simplify 1 into 1
0.576 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.577 * [backup-simplify]: Simplify (+ 0 0) into 0
0.577 * [taylor]: Taking taylor expansion of 0 in im
0.578 * [backup-simplify]: Simplify 0 into 0
0.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.580 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.580 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.580 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.580 * [taylor]: Taking taylor expansion of im in im
0.580 * [backup-simplify]: Simplify 0 into 0
0.580 * [backup-simplify]: Simplify 1 into 1
0.580 * [backup-simplify]: Simplify (* 1 1) into 1
0.581 * [backup-simplify]: Simplify (/ 1 1) into 1
0.581 * [backup-simplify]: Simplify 1 into 1
0.581 * [backup-simplify]: Simplify 1 into 1
0.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.583 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.583 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.583 * [backup-simplify]: Simplify (+ 0 0) into 0
0.584 * [taylor]: Taking taylor expansion of 0 in im
0.584 * [backup-simplify]: Simplify 0 into 0
0.584 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.585 * [backup-simplify]: Simplify 0 into 0
0.585 * [backup-simplify]: Simplify 0 into 0
0.585 * [backup-simplify]: Simplify 0 into 0
0.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.588 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.589 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.589 * [backup-simplify]: Simplify (+ 0 0) into 0
0.589 * [taylor]: Taking taylor expansion of 0 in im
0.589 * [backup-simplify]: Simplify 0 into 0
0.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.591 * [backup-simplify]: Simplify 0 into 0
0.591 * [backup-simplify]: Simplify 0 into 0
0.591 * [backup-simplify]: Simplify 0 into 0
0.592 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow im 2) (pow re 2))
0.592 * * * [progress]: simplifying candidates
0.593 * [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))
0.595 * * [simplify]: iteration 0: 108 enodes
0.620 * * [simplify]: iteration 1: 291 enodes
0.772 * * [simplify]: iteration 2: 1360 enodes
1.213 * * [simplify]: iteration complete: 5001 enodes
1.213 * * [simplify]: Extracting #0: cost 55 inf + 0
1.213 * * [simplify]: Extracting #1: cost 379 inf + 5
1.217 * * [simplify]: Extracting #2: cost 1725 inf + 237
1.224 * * [simplify]: Extracting #3: cost 1746 inf + 3248
1.239 * * [simplify]: Extracting #4: cost 558 inf + 14448
1.247 * * [simplify]: Extracting #5: cost 87 inf + 20936
1.260 * * [simplify]: Extracting #6: cost 12 inf + 21746
1.275 * * [simplify]: Extracting #7: cost 0 inf + 21824
1.291 * [simplify]: Simplified to:
  (log (sqrt (+ (pow im 2) (* re re))))
  (exp (sqrt (+ (pow im 2) (* re re))))
  (* (cbrt (sqrt (+ (pow im 2) (* re re)))) (cbrt (sqrt (+ (pow im 2) (* re re)))))
  (cbrt (sqrt (+ (pow im 2) (* re re))))
  (pow (sqrt (+ (pow im 2) (* re re))) 3)
  (fabs (cbrt (+ (pow im 2) (* re re))))
  (sqrt (cbrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  1
  (sqrt (+ (pow im 2) (* re re)))
  (sqrt (+ (pow re 6) (pow im 6)))
  (sqrt (+ (* (pow im 2) (- (pow im 2) (* re re))) (pow re 4)))
  (sqrt (- (pow re 4) (pow im 4)))
  (sqrt (* (+ re im) (- re im)))
  1/2
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (exp (+ (sqrt (+ (pow im 2) (* re re))) re))
  (log (+ (sqrt (+ (pow im 2) (* re re))) re))
  (exp (+ (sqrt (+ (pow im 2) (* re re))) re))
  (* (cbrt (+ (sqrt (+ (pow im 2) (* re re))) re)) (cbrt (+ (sqrt (+ (pow im 2) (* re re))) re)))
  (cbrt (+ (sqrt (+ (pow im 2) (* re re))) re))
  (pow (+ (sqrt (+ (pow im 2) (* re re))) re) 3)
  (sqrt (+ (sqrt (+ (pow im 2) (* re re))) re))
  (sqrt (+ (sqrt (+ (pow im 2) (* re re))) re))
  (+ (pow (sqrt (+ (pow im 2) (* re re))) 3) (pow re 3))
  (+ (* re (- re (sqrt (+ (pow im 2) (* re re))))) (+ (pow im 2) (* re re)))
  (+ (pow im 2) 0)
  (- (sqrt (+ (pow im 2) (* re re))) re)
  (+ (sqrt (+ (pow im 2) (* re re))) re)
  (log (sqrt (* 2.0 (+ (sqrt (+ (pow im 2) (* re re))) re))))
  (exp (sqrt (* 2.0 (+ (sqrt (+ (pow im 2) (* re re))) re))))
  (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (pow im 2) (* re re))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (pow im 2) (* re re))) re)))))
  (cbrt (sqrt (* 2.0 (+ (sqrt (+ (pow im 2) (* re re))) re))))
  (pow (sqrt (* 2.0 (+ (sqrt (+ (pow im 2) (* re re))) re))) 3)
  (sqrt 2.0)
  (sqrt (+ (sqrt (+ (pow im 2) (* re re))) re))
  (sqrt (* (+ (pow (sqrt (+ (pow im 2) (* re re))) 3) (pow re 3)) 2.0))
  (sqrt (+ (* re (- re (sqrt (+ (pow im 2) (* re re))))) (+ (pow im 2) (* re re))))
  (sqrt (* 2.0 (+ (pow im 2) 0)))
  (sqrt (- (sqrt (+ (pow im 2) (* re re))) re))
  1/2
  1/2
  (sqrt (sqrt (* 2.0 (+ (sqrt (+ (pow im 2) (* re re))) re))))
  (sqrt (sqrt (* 2.0 (+ (sqrt (+ (pow im 2) (* re re))) re))))
  (exp (+ (pow im 2) (* re re)))
  (log (+ (pow im 2) (* re re)))
  (exp (+ (pow im 2) (* re re)))
  (* (cbrt (+ (pow im 2) (* re re))) (cbrt (+ (pow im 2) (* re re))))
  (cbrt (+ (pow im 2) (* re re)))
  (pow (+ (pow im 2) (* re re)) 3)
  (sqrt (+ (pow im 2) (* re re)))
  (sqrt (+ (pow im 2) (* re re)))
  (+ (pow re 6) (pow im 6))
  (+ (* (pow im 2) (- (pow im 2) (* re re))) (pow re 4))
  (- (pow re 4) (pow im 4))
  (* (+ re im) (- re im))
  im
  re
  (- re)
  (+ re im)
  (* 2 re)
  0
  (+ (- (* +nan.0 (* (* re re) (sqrt 2.0)))) (* (* (sqrt 2.0) +nan.0) (- im re)))
  (+ (* +nan.0 (- (/ (sqrt 2.0) re) (/ (sqrt 2.0) (* re re)))) (- (* (sqrt 2.0) +nan.0)))
  0
  (+ (pow im 2) (* re re))
  (+ (pow im 2) (* re re))
  (+ (pow im 2) (* re re))
1.292 * * * [progress]: adding candidates to table
1.656 * * [progress]: iteration 2 / 4
1.657 * * * [progress]: picking best candidate
1.721 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (sqrt (+ (pow im 2) (* re re))))) re)))))>
1.721 * * * [progress]: localizing error
1.784 * * * [progress]: generating rewritten candidates
1.784 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1)
1.806 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1)
1.819 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2)
1.851 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1)
1.924 * * * [progress]: generating series expansions
1.924 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1)
1.924 * [backup-simplify]: Simplify (sqrt (+ (pow im 2) (* re re))) into (sqrt (+ (pow im 2) (pow re 2)))
1.924 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (im re) around 0
1.924 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
1.924 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
1.924 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.924 * [taylor]: Taking taylor expansion of im in re
1.924 * [backup-simplify]: Simplify im into im
1.925 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.925 * [taylor]: Taking taylor expansion of re in re
1.925 * [backup-simplify]: Simplify 0 into 0
1.925 * [backup-simplify]: Simplify 1 into 1
1.925 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.925 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
1.925 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.925 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.925 * [backup-simplify]: Simplify (+ 0 0) into 0
1.926 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.926 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
1.926 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
1.926 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.926 * [taylor]: Taking taylor expansion of im in im
1.926 * [backup-simplify]: Simplify 0 into 0
1.926 * [backup-simplify]: Simplify 1 into 1
1.926 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.926 * [taylor]: Taking taylor expansion of re in im
1.926 * [backup-simplify]: Simplify re into re
1.926 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.926 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
1.926 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
1.926 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.926 * [backup-simplify]: Simplify (+ 0 0) into 0
1.926 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
1.926 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
1.926 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
1.926 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.926 * [taylor]: Taking taylor expansion of im in im
1.926 * [backup-simplify]: Simplify 0 into 0
1.926 * [backup-simplify]: Simplify 1 into 1
1.926 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.926 * [taylor]: Taking taylor expansion of re in im
1.927 * [backup-simplify]: Simplify re into re
1.927 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.927 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
1.927 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
1.927 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.927 * [backup-simplify]: Simplify (+ 0 0) into 0
1.927 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
1.927 * [taylor]: Taking taylor expansion of re in re
1.927 * [backup-simplify]: Simplify 0 into 0
1.927 * [backup-simplify]: Simplify 1 into 1
1.927 * [backup-simplify]: Simplify 0 into 0
1.927 * [taylor]: Taking taylor expansion of 0 in re
1.927 * [backup-simplify]: Simplify 0 into 0
1.927 * [backup-simplify]: Simplify 0 into 0
1.927 * [backup-simplify]: Simplify 1 into 1
1.928 * [backup-simplify]: Simplify (* 1 1) into 1
1.928 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
1.928 * [backup-simplify]: Simplify (+ 1 0) into 1
1.929 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
1.929 * [taylor]: Taking taylor expansion of (/ 1/2 re) in re
1.929 * [taylor]: Taking taylor expansion of 1/2 in re
1.929 * [backup-simplify]: Simplify 1/2 into 1/2
1.929 * [taylor]: Taking taylor expansion of re in re
1.929 * [backup-simplify]: Simplify 0 into 0
1.929 * [backup-simplify]: Simplify 1 into 1
1.929 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.930 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.930 * [backup-simplify]: Simplify 0 into 0
1.930 * [backup-simplify]: Simplify 0 into 0
1.930 * [backup-simplify]: Simplify 0 into 0
1.930 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.931 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
1.932 * [backup-simplify]: Simplify (+ 0 0) into 0
1.932 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
1.932 * [taylor]: Taking taylor expansion of 0 in re
1.932 * [backup-simplify]: Simplify 0 into 0
1.932 * [backup-simplify]: Simplify 0 into 0
1.933 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.933 * [backup-simplify]: Simplify 0 into 0
1.933 * [backup-simplify]: Simplify 0 into 0
1.933 * [backup-simplify]: Simplify (* 1 (* re 1)) into re
1.934 * [backup-simplify]: Simplify (sqrt (+ (pow (/ 1 im) 2) (* (/ 1 re) (/ 1 re)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
1.934 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (im re) around 0
1.934 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
1.934 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
1.934 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.934 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.934 * [taylor]: Taking taylor expansion of re in re
1.934 * [backup-simplify]: Simplify 0 into 0
1.934 * [backup-simplify]: Simplify 1 into 1
1.934 * [backup-simplify]: Simplify (* 1 1) into 1
1.935 * [backup-simplify]: Simplify (/ 1 1) into 1
1.935 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.935 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.935 * [taylor]: Taking taylor expansion of im in re
1.935 * [backup-simplify]: Simplify im into im
1.935 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.935 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.935 * [backup-simplify]: Simplify (+ 1 0) into 1
1.936 * [backup-simplify]: Simplify (sqrt 1) into 1
1.937 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.938 * [backup-simplify]: Simplify (+ 0 0) into 0
1.938 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.938 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
1.938 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
1.938 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.939 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.939 * [taylor]: Taking taylor expansion of re in im
1.939 * [backup-simplify]: Simplify re into re
1.939 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.939 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.939 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.939 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.939 * [taylor]: Taking taylor expansion of im in im
1.939 * [backup-simplify]: Simplify 0 into 0
1.939 * [backup-simplify]: Simplify 1 into 1
1.939 * [backup-simplify]: Simplify (* 1 1) into 1
1.940 * [backup-simplify]: Simplify (/ 1 1) into 1
1.940 * [backup-simplify]: Simplify (+ 0 1) into 1
1.941 * [backup-simplify]: Simplify (sqrt 1) into 1
1.941 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.942 * [backup-simplify]: Simplify (+ 0 0) into 0
1.943 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.943 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
1.943 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
1.943 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.943 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.943 * [taylor]: Taking taylor expansion of re in im
1.943 * [backup-simplify]: Simplify re into re
1.943 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.943 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.943 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.943 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.943 * [taylor]: Taking taylor expansion of im in im
1.943 * [backup-simplify]: Simplify 0 into 0
1.943 * [backup-simplify]: Simplify 1 into 1
1.943 * [backup-simplify]: Simplify (* 1 1) into 1
1.944 * [backup-simplify]: Simplify (/ 1 1) into 1
1.944 * [backup-simplify]: Simplify (+ 0 1) into 1
1.944 * [backup-simplify]: Simplify (sqrt 1) into 1
1.944 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.945 * [backup-simplify]: Simplify (+ 0 0) into 0
1.946 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.946 * [taylor]: Taking taylor expansion of 1 in re
1.946 * [backup-simplify]: Simplify 1 into 1
1.946 * [taylor]: Taking taylor expansion of 0 in re
1.946 * [backup-simplify]: Simplify 0 into 0
1.946 * [backup-simplify]: Simplify 1 into 1
1.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.947 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
1.948 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
1.948 * [taylor]: Taking taylor expansion of (/ 1/2 (pow re 2)) in re
1.948 * [taylor]: Taking taylor expansion of 1/2 in re
1.948 * [backup-simplify]: Simplify 1/2 into 1/2
1.948 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.948 * [taylor]: Taking taylor expansion of re in re
1.948 * [backup-simplify]: Simplify 0 into 0
1.948 * [backup-simplify]: Simplify 1 into 1
1.948 * [backup-simplify]: Simplify (* 1 1) into 1
1.948 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.949 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.949 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.949 * [backup-simplify]: Simplify 0 into 0
1.949 * [backup-simplify]: Simplify 0 into 0
1.949 * [backup-simplify]: Simplify 0 into 0
1.949 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.950 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
1.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.951 * [backup-simplify]: Simplify (+ 0 0) into 0
1.954 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0
1.954 * [taylor]: Taking taylor expansion of 0 in re
1.954 * [backup-simplify]: Simplify 0 into 0
1.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.955 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.955 * [backup-simplify]: Simplify 0 into 0
1.955 * [backup-simplify]: Simplify 0 into 0
1.955 * [backup-simplify]: Simplify 0 into 0
1.955 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 im)))) into im
1.956 * [backup-simplify]: Simplify (sqrt (+ (pow (/ 1 (- im)) 2) (* (/ 1 (- re)) (/ 1 (- re))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
1.956 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (im re) around 0
1.956 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
1.956 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
1.956 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.956 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.956 * [taylor]: Taking taylor expansion of re in re
1.956 * [backup-simplify]: Simplify 0 into 0
1.956 * [backup-simplify]: Simplify 1 into 1
1.956 * [backup-simplify]: Simplify (* 1 1) into 1
1.956 * [backup-simplify]: Simplify (/ 1 1) into 1
1.956 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.956 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.956 * [taylor]: Taking taylor expansion of im in re
1.956 * [backup-simplify]: Simplify im into im
1.956 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.957 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.957 * [backup-simplify]: Simplify (+ 1 0) into 1
1.957 * [backup-simplify]: Simplify (sqrt 1) into 1
1.957 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.958 * [backup-simplify]: Simplify (+ 0 0) into 0
1.959 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.959 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
1.959 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
1.959 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.959 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.959 * [taylor]: Taking taylor expansion of re in im
1.959 * [backup-simplify]: Simplify re into re
1.959 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.959 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.959 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.959 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.959 * [taylor]: Taking taylor expansion of im in im
1.959 * [backup-simplify]: Simplify 0 into 0
1.959 * [backup-simplify]: Simplify 1 into 1
1.959 * [backup-simplify]: Simplify (* 1 1) into 1
1.959 * [backup-simplify]: Simplify (/ 1 1) into 1
1.960 * [backup-simplify]: Simplify (+ 0 1) into 1
1.960 * [backup-simplify]: Simplify (sqrt 1) into 1
1.960 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.961 * [backup-simplify]: Simplify (+ 0 0) into 0
1.962 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.962 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
1.962 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
1.962 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.962 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.962 * [taylor]: Taking taylor expansion of re in im
1.962 * [backup-simplify]: Simplify re into re
1.962 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.962 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.962 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.962 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.962 * [taylor]: Taking taylor expansion of im in im
1.962 * [backup-simplify]: Simplify 0 into 0
1.962 * [backup-simplify]: Simplify 1 into 1
1.962 * [backup-simplify]: Simplify (* 1 1) into 1
1.963 * [backup-simplify]: Simplify (/ 1 1) into 1
1.963 * [backup-simplify]: Simplify (+ 0 1) into 1
1.963 * [backup-simplify]: Simplify (sqrt 1) into 1
1.963 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.964 * [backup-simplify]: Simplify (+ 0 0) into 0
1.965 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.965 * [taylor]: Taking taylor expansion of 1 in re
1.965 * [backup-simplify]: Simplify 1 into 1
1.965 * [taylor]: Taking taylor expansion of 0 in re
1.965 * [backup-simplify]: Simplify 0 into 0
1.965 * [backup-simplify]: Simplify 1 into 1
1.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.966 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
1.967 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
1.967 * [taylor]: Taking taylor expansion of (/ 1/2 (pow re 2)) in re
1.967 * [taylor]: Taking taylor expansion of 1/2 in re
1.967 * [backup-simplify]: Simplify 1/2 into 1/2
1.967 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.967 * [taylor]: Taking taylor expansion of re in re
1.967 * [backup-simplify]: Simplify 0 into 0
1.967 * [backup-simplify]: Simplify 1 into 1
1.967 * [backup-simplify]: Simplify (* 1 1) into 1
1.967 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.968 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.968 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.968 * [backup-simplify]: Simplify 0 into 0
1.968 * [backup-simplify]: Simplify 0 into 0
1.968 * [backup-simplify]: Simplify 0 into 0
1.968 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.969 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
1.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.970 * [backup-simplify]: Simplify (+ 0 0) into 0
1.970 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0
1.971 * [taylor]: Taking taylor expansion of 0 in re
1.971 * [backup-simplify]: Simplify 0 into 0
1.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.972 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.972 * [backup-simplify]: Simplify 0 into 0
1.972 * [backup-simplify]: Simplify 0 into 0
1.972 * [backup-simplify]: Simplify 0 into 0
1.972 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- im))))) into (* -1 im)
1.972 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1)
1.972 * [backup-simplify]: Simplify (sqrt (+ (pow im 2) (* re re))) into (sqrt (+ (pow im 2) (pow re 2)))
1.972 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (im re) around 0
1.972 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
1.972 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
1.972 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.972 * [taylor]: Taking taylor expansion of im in re
1.972 * [backup-simplify]: Simplify im into im
1.972 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.972 * [taylor]: Taking taylor expansion of re in re
1.972 * [backup-simplify]: Simplify 0 into 0
1.972 * [backup-simplify]: Simplify 1 into 1
1.972 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.972 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
1.972 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.973 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.973 * [backup-simplify]: Simplify (+ 0 0) into 0
1.973 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.973 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
1.973 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
1.973 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.973 * [taylor]: Taking taylor expansion of im in im
1.973 * [backup-simplify]: Simplify 0 into 0
1.973 * [backup-simplify]: Simplify 1 into 1
1.973 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.973 * [taylor]: Taking taylor expansion of re in im
1.973 * [backup-simplify]: Simplify re into re
1.973 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.973 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
1.973 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
1.973 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.974 * [backup-simplify]: Simplify (+ 0 0) into 0
1.974 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
1.974 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
1.974 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
1.974 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.974 * [taylor]: Taking taylor expansion of im in im
1.974 * [backup-simplify]: Simplify 0 into 0
1.974 * [backup-simplify]: Simplify 1 into 1
1.974 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.974 * [taylor]: Taking taylor expansion of re in im
1.974 * [backup-simplify]: Simplify re into re
1.974 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.974 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
1.974 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
1.974 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.975 * [backup-simplify]: Simplify (+ 0 0) into 0
1.975 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
1.975 * [taylor]: Taking taylor expansion of re in re
1.975 * [backup-simplify]: Simplify 0 into 0
1.975 * [backup-simplify]: Simplify 1 into 1
1.975 * [backup-simplify]: Simplify 0 into 0
1.975 * [taylor]: Taking taylor expansion of 0 in re
1.975 * [backup-simplify]: Simplify 0 into 0
1.975 * [backup-simplify]: Simplify 0 into 0
1.975 * [backup-simplify]: Simplify 1 into 1
1.976 * [backup-simplify]: Simplify (* 1 1) into 1
1.976 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
1.977 * [backup-simplify]: Simplify (+ 1 0) into 1
1.977 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
1.977 * [taylor]: Taking taylor expansion of (/ 1/2 re) in re
1.978 * [taylor]: Taking taylor expansion of 1/2 in re
1.978 * [backup-simplify]: Simplify 1/2 into 1/2
1.978 * [taylor]: Taking taylor expansion of re in re
1.978 * [backup-simplify]: Simplify 0 into 0
1.978 * [backup-simplify]: Simplify 1 into 1
1.978 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.979 * [backup-simplify]: Simplify 0 into 0
1.979 * [backup-simplify]: Simplify 0 into 0
1.979 * [backup-simplify]: Simplify 0 into 0
1.980 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.981 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
1.981 * [backup-simplify]: Simplify (+ 0 0) into 0
1.981 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
1.981 * [taylor]: Taking taylor expansion of 0 in re
1.981 * [backup-simplify]: Simplify 0 into 0
1.981 * [backup-simplify]: Simplify 0 into 0
1.982 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.983 * [backup-simplify]: Simplify 0 into 0
1.983 * [backup-simplify]: Simplify 0 into 0
1.983 * [backup-simplify]: Simplify (* 1 (* re 1)) into re
1.983 * [backup-simplify]: Simplify (sqrt (+ (pow (/ 1 im) 2) (* (/ 1 re) (/ 1 re)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
1.983 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (im re) around 0
1.983 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
1.983 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
1.983 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
1.983 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.983 * [taylor]: Taking taylor expansion of re in re
1.983 * [backup-simplify]: Simplify 0 into 0
1.983 * [backup-simplify]: Simplify 1 into 1
1.984 * [backup-simplify]: Simplify (* 1 1) into 1
1.984 * [backup-simplify]: Simplify (/ 1 1) into 1
1.984 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
1.984 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.984 * [taylor]: Taking taylor expansion of im in re
1.984 * [backup-simplify]: Simplify im into im
1.984 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.985 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
1.985 * [backup-simplify]: Simplify (+ 1 0) into 1
1.985 * [backup-simplify]: Simplify (sqrt 1) into 1
1.986 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.987 * [backup-simplify]: Simplify (+ 0 0) into 0
1.988 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.988 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
1.988 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
1.988 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.988 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.988 * [taylor]: Taking taylor expansion of re in im
1.988 * [backup-simplify]: Simplify re into re
1.988 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.989 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.989 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.989 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.989 * [taylor]: Taking taylor expansion of im in im
1.989 * [backup-simplify]: Simplify 0 into 0
1.989 * [backup-simplify]: Simplify 1 into 1
1.989 * [backup-simplify]: Simplify (* 1 1) into 1
1.990 * [backup-simplify]: Simplify (/ 1 1) into 1
1.990 * [backup-simplify]: Simplify (+ 0 1) into 1
1.990 * [backup-simplify]: Simplify (sqrt 1) into 1
1.991 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.992 * [backup-simplify]: Simplify (+ 0 0) into 0
1.993 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.993 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
1.993 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
1.993 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.993 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.993 * [taylor]: Taking taylor expansion of re in im
1.993 * [backup-simplify]: Simplify re into re
1.993 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.993 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.993 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.993 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.993 * [taylor]: Taking taylor expansion of im in im
1.994 * [backup-simplify]: Simplify 0 into 0
1.994 * [backup-simplify]: Simplify 1 into 1
1.994 * [backup-simplify]: Simplify (* 1 1) into 1
1.994 * [backup-simplify]: Simplify (/ 1 1) into 1
1.995 * [backup-simplify]: Simplify (+ 0 1) into 1
1.995 * [backup-simplify]: Simplify (sqrt 1) into 1
1.996 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.997 * [backup-simplify]: Simplify (+ 0 0) into 0
1.998 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.998 * [taylor]: Taking taylor expansion of 1 in re
1.998 * [backup-simplify]: Simplify 1 into 1
1.998 * [taylor]: Taking taylor expansion of 0 in re
1.998 * [backup-simplify]: Simplify 0 into 0
1.998 * [backup-simplify]: Simplify 1 into 1
1.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.000 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
2.001 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
2.001 * [taylor]: Taking taylor expansion of (/ 1/2 (pow re 2)) in re
2.001 * [taylor]: Taking taylor expansion of 1/2 in re
2.002 * [backup-simplify]: Simplify 1/2 into 1/2
2.002 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.002 * [taylor]: Taking taylor expansion of re in re
2.002 * [backup-simplify]: Simplify 0 into 0
2.002 * [backup-simplify]: Simplify 1 into 1
2.002 * [backup-simplify]: Simplify (* 1 1) into 1
2.003 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.003 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.004 * [backup-simplify]: Simplify 0 into 0
2.004 * [backup-simplify]: Simplify 0 into 0
2.004 * [backup-simplify]: Simplify 0 into 0
2.005 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.005 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
2.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.008 * [backup-simplify]: Simplify (+ 0 0) into 0
2.008 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0
2.008 * [taylor]: Taking taylor expansion of 0 in re
2.008 * [backup-simplify]: Simplify 0 into 0
2.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.010 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.010 * [backup-simplify]: Simplify 0 into 0
2.011 * [backup-simplify]: Simplify 0 into 0
2.011 * [backup-simplify]: Simplify 0 into 0
2.011 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 im)))) into im
2.011 * [backup-simplify]: Simplify (sqrt (+ (pow (/ 1 (- im)) 2) (* (/ 1 (- re)) (/ 1 (- re))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
2.011 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (im re) around 0
2.012 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.012 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.012 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.012 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.012 * [taylor]: Taking taylor expansion of re in re
2.012 * [backup-simplify]: Simplify 0 into 0
2.012 * [backup-simplify]: Simplify 1 into 1
2.012 * [backup-simplify]: Simplify (* 1 1) into 1
2.013 * [backup-simplify]: Simplify (/ 1 1) into 1
2.013 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.013 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.013 * [taylor]: Taking taylor expansion of im in re
2.013 * [backup-simplify]: Simplify im into im
2.013 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.013 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.013 * [backup-simplify]: Simplify (+ 1 0) into 1
2.014 * [backup-simplify]: Simplify (sqrt 1) into 1
2.014 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.016 * [backup-simplify]: Simplify (+ 0 0) into 0
2.016 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.016 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.016 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.017 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.017 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.017 * [taylor]: Taking taylor expansion of re in im
2.017 * [backup-simplify]: Simplify re into re
2.017 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.017 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.017 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.017 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.017 * [taylor]: Taking taylor expansion of im in im
2.017 * [backup-simplify]: Simplify 0 into 0
2.017 * [backup-simplify]: Simplify 1 into 1
2.017 * [backup-simplify]: Simplify (* 1 1) into 1
2.018 * [backup-simplify]: Simplify (/ 1 1) into 1
2.018 * [backup-simplify]: Simplify (+ 0 1) into 1
2.019 * [backup-simplify]: Simplify (sqrt 1) into 1
2.019 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.020 * [backup-simplify]: Simplify (+ 0 0) into 0
2.021 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.021 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.021 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.021 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.021 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.021 * [taylor]: Taking taylor expansion of re in im
2.021 * [backup-simplify]: Simplify re into re
2.021 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.022 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.022 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.022 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.022 * [taylor]: Taking taylor expansion of im in im
2.022 * [backup-simplify]: Simplify 0 into 0
2.022 * [backup-simplify]: Simplify 1 into 1
2.022 * [backup-simplify]: Simplify (* 1 1) into 1
2.022 * [backup-simplify]: Simplify (/ 1 1) into 1
2.022 * [backup-simplify]: Simplify (+ 0 1) into 1
2.023 * [backup-simplify]: Simplify (sqrt 1) into 1
2.023 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.024 * [backup-simplify]: Simplify (+ 0 0) into 0
2.024 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.024 * [taylor]: Taking taylor expansion of 1 in re
2.024 * [backup-simplify]: Simplify 1 into 1
2.024 * [taylor]: Taking taylor expansion of 0 in re
2.024 * [backup-simplify]: Simplify 0 into 0
2.024 * [backup-simplify]: Simplify 1 into 1
2.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.026 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
2.026 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
2.026 * [taylor]: Taking taylor expansion of (/ 1/2 (pow re 2)) in re
2.026 * [taylor]: Taking taylor expansion of 1/2 in re
2.026 * [backup-simplify]: Simplify 1/2 into 1/2
2.026 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.026 * [taylor]: Taking taylor expansion of re in re
2.027 * [backup-simplify]: Simplify 0 into 0
2.027 * [backup-simplify]: Simplify 1 into 1
2.027 * [backup-simplify]: Simplify (* 1 1) into 1
2.027 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.027 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.028 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.028 * [backup-simplify]: Simplify 0 into 0
2.028 * [backup-simplify]: Simplify 0 into 0
2.028 * [backup-simplify]: Simplify 0 into 0
2.028 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.028 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
2.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.030 * [backup-simplify]: Simplify (+ 0 0) into 0
2.030 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0
2.030 * [taylor]: Taking taylor expansion of 0 in re
2.030 * [backup-simplify]: Simplify 0 into 0
2.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.031 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.031 * [backup-simplify]: Simplify 0 into 0
2.031 * [backup-simplify]: Simplify 0 into 0
2.031 * [backup-simplify]: Simplify 0 into 0
2.031 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- im))))) into (* -1 im)
2.031 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2)
2.032 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (sqrt (+ (pow im 2) (* re re))))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2))))
2.032 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (im re) around 0
2.032 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
2.032 * [taylor]: Taking taylor expansion of re in re
2.032 * [backup-simplify]: Simplify 0 into 0
2.032 * [backup-simplify]: Simplify 1 into 1
2.032 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.032 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.032 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.032 * [taylor]: Taking taylor expansion of im in re
2.032 * [backup-simplify]: Simplify im into im
2.032 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.032 * [taylor]: Taking taylor expansion of re in re
2.032 * [backup-simplify]: Simplify 0 into 0
2.032 * [backup-simplify]: Simplify 1 into 1
2.032 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.032 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.032 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.032 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.033 * [backup-simplify]: Simplify (+ 0 0) into 0
2.033 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.033 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
2.033 * [taylor]: Taking taylor expansion of re in im
2.033 * [backup-simplify]: Simplify re into re
2.033 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
2.033 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
2.033 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.033 * [taylor]: Taking taylor expansion of im in im
2.033 * [backup-simplify]: Simplify 0 into 0
2.033 * [backup-simplify]: Simplify 1 into 1
2.033 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.033 * [taylor]: Taking taylor expansion of re in im
2.033 * [backup-simplify]: Simplify re into re
2.033 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.033 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
2.033 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.033 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.033 * [backup-simplify]: Simplify (+ 0 0) into 0
2.034 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.034 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
2.034 * [taylor]: Taking taylor expansion of re in im
2.034 * [backup-simplify]: Simplify re into re
2.034 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
2.034 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
2.034 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.034 * [taylor]: Taking taylor expansion of im in im
2.034 * [backup-simplify]: Simplify 0 into 0
2.034 * [backup-simplify]: Simplify 1 into 1
2.034 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.034 * [taylor]: Taking taylor expansion of re in im
2.034 * [backup-simplify]: Simplify re into re
2.034 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.034 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
2.034 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.034 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.034 * [backup-simplify]: Simplify (+ 0 0) into 0
2.034 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.035 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
2.035 * [taylor]: Taking taylor expansion of (* 2 re) in re
2.035 * [taylor]: Taking taylor expansion of 2 in re
2.035 * [backup-simplify]: Simplify 2 into 2
2.035 * [taylor]: Taking taylor expansion of re in re
2.035 * [backup-simplify]: Simplify 0 into 0
2.035 * [backup-simplify]: Simplify 1 into 1
2.035 * [backup-simplify]: Simplify (* 2 0) into 0
2.035 * [backup-simplify]: Simplify 0 into 0
2.035 * [backup-simplify]: Simplify (+ 0 0) into 0
2.035 * [taylor]: Taking taylor expansion of 0 in re
2.035 * [backup-simplify]: Simplify 0 into 0
2.035 * [backup-simplify]: Simplify 0 into 0
2.036 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
2.036 * [backup-simplify]: Simplify 2 into 2
2.036 * [backup-simplify]: Simplify (* 1 1) into 1
2.036 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
2.037 * [backup-simplify]: Simplify (+ 1 0) into 1
2.037 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
2.037 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re))
2.037 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 re)) in re
2.037 * [taylor]: Taking taylor expansion of 1/2 in re
2.037 * [backup-simplify]: Simplify 1/2 into 1/2
2.037 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.037 * [taylor]: Taking taylor expansion of re in re
2.037 * [backup-simplify]: Simplify 0 into 0
2.037 * [backup-simplify]: Simplify 1 into 1
2.037 * [backup-simplify]: Simplify (/ 1 1) into 1
2.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.038 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.038 * [backup-simplify]: Simplify 0 into 0
2.038 * [backup-simplify]: Simplify 0 into 0
2.039 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
2.039 * [backup-simplify]: Simplify 0 into 0
2.039 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.040 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
2.040 * [backup-simplify]: Simplify (+ 0 0) into 0
2.040 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
2.040 * [backup-simplify]: Simplify (+ 0 0) into 0
2.041 * [taylor]: Taking taylor expansion of 0 in re
2.041 * [backup-simplify]: Simplify 0 into 0
2.041 * [backup-simplify]: Simplify 0 into 0
2.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.042 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.042 * [backup-simplify]: Simplify 0 into 0
2.042 * [backup-simplify]: Simplify 0 into 0
2.042 * [backup-simplify]: Simplify (* 2 (* re 1)) into (* 2 re)
2.042 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (+ (pow (/ 1 im) 2) (* (/ 1 re) (/ 1 re))))) (sqrt (sqrt (+ (pow (/ 1 im) 2) (* (/ 1 re) (/ 1 re)))))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))
2.042 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (im re) around 0
2.042 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
2.042 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.042 * [taylor]: Taking taylor expansion of re in re
2.042 * [backup-simplify]: Simplify 0 into 0
2.042 * [backup-simplify]: Simplify 1 into 1
2.043 * [backup-simplify]: Simplify (/ 1 1) into 1
2.043 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.043 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.043 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.043 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.043 * [taylor]: Taking taylor expansion of re in re
2.043 * [backup-simplify]: Simplify 0 into 0
2.043 * [backup-simplify]: Simplify 1 into 1
2.043 * [backup-simplify]: Simplify (* 1 1) into 1
2.043 * [backup-simplify]: Simplify (/ 1 1) into 1
2.043 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.043 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.043 * [taylor]: Taking taylor expansion of im in re
2.043 * [backup-simplify]: Simplify im into im
2.043 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.044 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.044 * [backup-simplify]: Simplify (+ 1 0) into 1
2.044 * [backup-simplify]: Simplify (sqrt 1) into 1
2.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.045 * [backup-simplify]: Simplify (+ 0 0) into 0
2.046 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.046 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
2.046 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.046 * [taylor]: Taking taylor expansion of re in im
2.046 * [backup-simplify]: Simplify re into re
2.046 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.046 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.046 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.046 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.046 * [taylor]: Taking taylor expansion of re in im
2.046 * [backup-simplify]: Simplify re into re
2.046 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.046 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.046 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.046 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.046 * [taylor]: Taking taylor expansion of im in im
2.046 * [backup-simplify]: Simplify 0 into 0
2.046 * [backup-simplify]: Simplify 1 into 1
2.046 * [backup-simplify]: Simplify (* 1 1) into 1
2.047 * [backup-simplify]: Simplify (/ 1 1) into 1
2.047 * [backup-simplify]: Simplify (+ 0 1) into 1
2.047 * [backup-simplify]: Simplify (sqrt 1) into 1
2.047 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.048 * [backup-simplify]: Simplify (+ 0 0) into 0
2.049 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.049 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
2.049 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.049 * [taylor]: Taking taylor expansion of re in im
2.049 * [backup-simplify]: Simplify re into re
2.049 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.049 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.049 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.049 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.049 * [taylor]: Taking taylor expansion of re in im
2.049 * [backup-simplify]: Simplify re into re
2.049 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.049 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.049 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.049 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.049 * [taylor]: Taking taylor expansion of im in im
2.049 * [backup-simplify]: Simplify 0 into 0
2.049 * [backup-simplify]: Simplify 1 into 1
2.049 * [backup-simplify]: Simplify (* 1 1) into 1
2.050 * [backup-simplify]: Simplify (/ 1 1) into 1
2.050 * [backup-simplify]: Simplify (+ 0 1) into 1
2.050 * [backup-simplify]: Simplify (sqrt 1) into 1
2.050 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.051 * [backup-simplify]: Simplify (+ 0 0) into 0
2.052 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.052 * [backup-simplify]: Simplify (+ 0 1) into 1
2.052 * [taylor]: Taking taylor expansion of 1 in re
2.052 * [backup-simplify]: Simplify 1 into 1
2.052 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re)
2.052 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.052 * [taylor]: Taking taylor expansion of re in re
2.052 * [backup-simplify]: Simplify 0 into 0
2.052 * [backup-simplify]: Simplify 1 into 1
2.052 * [backup-simplify]: Simplify (/ 1 1) into 1
2.052 * [backup-simplify]: Simplify 1 into 1
2.052 * [backup-simplify]: Simplify 1 into 1
2.052 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
2.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.054 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
2.055 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
2.055 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2)))
2.055 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re
2.055 * [taylor]: Taking taylor expansion of 1/2 in re
2.055 * [backup-simplify]: Simplify 1/2 into 1/2
2.055 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.056 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.056 * [taylor]: Taking taylor expansion of re in re
2.056 * [backup-simplify]: Simplify 0 into 0
2.056 * [backup-simplify]: Simplify 1 into 1
2.056 * [backup-simplify]: Simplify (* 1 1) into 1
2.056 * [backup-simplify]: Simplify (/ 1 1) into 1
2.057 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.059 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.059 * [backup-simplify]: Simplify 0 into 0
2.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.059 * [backup-simplify]: Simplify 0 into 0
2.060 * [backup-simplify]: Simplify 0 into 0
2.060 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
2.060 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.060 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
2.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.063 * [backup-simplify]: Simplify (+ 0 0) into 0
2.064 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0
2.064 * [backup-simplify]: Simplify (+ 0 0) into 0
2.064 * [taylor]: Taking taylor expansion of 0 in re
2.064 * [backup-simplify]: Simplify 0 into 0
2.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.067 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.067 * [backup-simplify]: Simplify 0 into 0
2.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.068 * [backup-simplify]: Simplify 0 into 0
2.068 * [backup-simplify]: Simplify 0 into 0
2.069 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 im)))) (* 1 (* (/ 1 (/ 1 re)) 1))) into (+ re im)
2.070 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (+ (pow (/ 1 (- im)) 2) (* (/ 1 (- re)) (/ 1 (- re)))))) (sqrt (sqrt (+ (pow (/ 1 (- im)) 2) (* (/ 1 (- re)) (/ 1 (- re))))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))
2.070 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (im re) around 0
2.070 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
2.070 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.070 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.070 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.070 * [taylor]: Taking taylor expansion of re in re
2.070 * [backup-simplify]: Simplify 0 into 0
2.070 * [backup-simplify]: Simplify 1 into 1
2.070 * [backup-simplify]: Simplify (* 1 1) into 1
2.071 * [backup-simplify]: Simplify (/ 1 1) into 1
2.071 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.071 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.071 * [taylor]: Taking taylor expansion of im in re
2.071 * [backup-simplify]: Simplify im into im
2.071 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.071 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.072 * [backup-simplify]: Simplify (+ 1 0) into 1
2.072 * [backup-simplify]: Simplify (sqrt 1) into 1
2.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.074 * [backup-simplify]: Simplify (+ 0 0) into 0
2.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.077 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.077 * [taylor]: Taking taylor expansion of re in re
2.077 * [backup-simplify]: Simplify 0 into 0
2.077 * [backup-simplify]: Simplify 1 into 1
2.077 * [backup-simplify]: Simplify (/ 1 1) into 1
2.077 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
2.077 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.077 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.077 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.078 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.078 * [taylor]: Taking taylor expansion of re in im
2.078 * [backup-simplify]: Simplify re into re
2.078 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.078 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.078 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.078 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.078 * [taylor]: Taking taylor expansion of im in im
2.078 * [backup-simplify]: Simplify 0 into 0
2.078 * [backup-simplify]: Simplify 1 into 1
2.078 * [backup-simplify]: Simplify (* 1 1) into 1
2.079 * [backup-simplify]: Simplify (/ 1 1) into 1
2.079 * [backup-simplify]: Simplify (+ 0 1) into 1
2.080 * [backup-simplify]: Simplify (sqrt 1) into 1
2.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.082 * [backup-simplify]: Simplify (+ 0 0) into 0
2.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.082 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.082 * [taylor]: Taking taylor expansion of re in im
2.082 * [backup-simplify]: Simplify re into re
2.083 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.083 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
2.083 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.083 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.083 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.083 * [taylor]: Taking taylor expansion of re in im
2.083 * [backup-simplify]: Simplify re into re
2.083 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.083 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.083 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.083 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.083 * [taylor]: Taking taylor expansion of im in im
2.083 * [backup-simplify]: Simplify 0 into 0
2.083 * [backup-simplify]: Simplify 1 into 1
2.084 * [backup-simplify]: Simplify (* 1 1) into 1
2.084 * [backup-simplify]: Simplify (/ 1 1) into 1
2.084 * [backup-simplify]: Simplify (+ 0 1) into 1
2.085 * [backup-simplify]: Simplify (sqrt 1) into 1
2.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.087 * [backup-simplify]: Simplify (+ 0 0) into 0
2.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.087 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.088 * [taylor]: Taking taylor expansion of re in im
2.088 * [backup-simplify]: Simplify re into re
2.088 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.088 * [backup-simplify]: Simplify (+ 1 0) into 1
2.088 * [taylor]: Taking taylor expansion of 1 in re
2.088 * [backup-simplify]: Simplify 1 into 1
2.088 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re))
2.088 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re))
2.088 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re
2.089 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.089 * [taylor]: Taking taylor expansion of re in re
2.089 * [backup-simplify]: Simplify 0 into 0
2.089 * [backup-simplify]: Simplify 1 into 1
2.089 * [backup-simplify]: Simplify (/ 1 1) into 1
2.089 * [backup-simplify]: Simplify (- 1) into -1
2.089 * [backup-simplify]: Simplify -1 into -1
2.089 * [backup-simplify]: Simplify 1 into 1
2.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.092 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
2.093 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
2.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
2.093 * [backup-simplify]: Simplify (- 0) into 0
2.094 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2)))
2.094 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re
2.094 * [taylor]: Taking taylor expansion of 1/2 in re
2.094 * [backup-simplify]: Simplify 1/2 into 1/2
2.094 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.094 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.094 * [taylor]: Taking taylor expansion of re in re
2.094 * [backup-simplify]: Simplify 0 into 0
2.094 * [backup-simplify]: Simplify 1 into 1
2.094 * [backup-simplify]: Simplify (* 1 1) into 1
2.094 * [backup-simplify]: Simplify (/ 1 1) into 1
2.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.097 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.097 * [backup-simplify]: Simplify 0 into 0
2.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.098 * [backup-simplify]: Simplify (- 0) into 0
2.098 * [backup-simplify]: Simplify 0 into 0
2.098 * [backup-simplify]: Simplify 0 into 0
2.098 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.098 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
2.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.101 * [backup-simplify]: Simplify (+ 0 0) into 0
2.102 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0
2.102 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
2.102 * [backup-simplify]: Simplify (- 0) into 0
2.103 * [backup-simplify]: Simplify (+ 0 0) into 0
2.103 * [taylor]: Taking taylor expansion of 0 in re
2.103 * [backup-simplify]: Simplify 0 into 0
2.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.106 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.106 * [backup-simplify]: Simplify 0 into 0
2.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.107 * [backup-simplify]: Simplify (- 0) into 0
2.107 * [backup-simplify]: Simplify 0 into 0
2.107 * [backup-simplify]: Simplify 0 into 0
2.108 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 (- im))))) (* -1 (* (/ 1 (/ 1 (- re))) 1))) into (- re im)
2.108 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1)
2.108 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (sqrt (+ (pow im 2) (* re re))))) into (sqrt (+ (pow im 2) (pow re 2)))
2.108 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (im re) around 0
2.108 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.109 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.109 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.109 * [taylor]: Taking taylor expansion of im in re
2.109 * [backup-simplify]: Simplify im into im
2.109 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.109 * [taylor]: Taking taylor expansion of re in re
2.109 * [backup-simplify]: Simplify 0 into 0
2.109 * [backup-simplify]: Simplify 1 into 1
2.109 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.109 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.109 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.109 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.110 * [backup-simplify]: Simplify (+ 0 0) into 0
2.110 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.110 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
2.110 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
2.110 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.110 * [taylor]: Taking taylor expansion of im in im
2.110 * [backup-simplify]: Simplify 0 into 0
2.110 * [backup-simplify]: Simplify 1 into 1
2.110 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.110 * [taylor]: Taking taylor expansion of re in im
2.110 * [backup-simplify]: Simplify re into re
2.110 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.110 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
2.110 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.111 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.111 * [backup-simplify]: Simplify (+ 0 0) into 0
2.111 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.111 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
2.111 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
2.111 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.111 * [taylor]: Taking taylor expansion of im in im
2.111 * [backup-simplify]: Simplify 0 into 0
2.111 * [backup-simplify]: Simplify 1 into 1
2.111 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.111 * [taylor]: Taking taylor expansion of re in im
2.111 * [backup-simplify]: Simplify re into re
2.112 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.112 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
2.112 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.112 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.113 * [backup-simplify]: Simplify (+ 0 0) into 0
2.113 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.113 * [taylor]: Taking taylor expansion of re in re
2.113 * [backup-simplify]: Simplify 0 into 0
2.113 * [backup-simplify]: Simplify 1 into 1
2.113 * [backup-simplify]: Simplify 0 into 0
2.113 * [taylor]: Taking taylor expansion of 0 in re
2.113 * [backup-simplify]: Simplify 0 into 0
2.113 * [backup-simplify]: Simplify 0 into 0
2.113 * [backup-simplify]: Simplify 1 into 1
2.114 * [backup-simplify]: Simplify (* 1 1) into 1
2.114 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
2.115 * [backup-simplify]: Simplify (+ 1 0) into 1
2.115 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
2.115 * [taylor]: Taking taylor expansion of (/ 1/2 re) in re
2.116 * [taylor]: Taking taylor expansion of 1/2 in re
2.116 * [backup-simplify]: Simplify 1/2 into 1/2
2.116 * [taylor]: Taking taylor expansion of re in re
2.116 * [backup-simplify]: Simplify 0 into 0
2.116 * [backup-simplify]: Simplify 1 into 1
2.116 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.117 * [backup-simplify]: Simplify 0 into 0
2.117 * [backup-simplify]: Simplify 0 into 0
2.117 * [backup-simplify]: Simplify 0 into 0
2.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.118 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
2.119 * [backup-simplify]: Simplify (+ 0 0) into 0
2.119 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
2.119 * [taylor]: Taking taylor expansion of 0 in re
2.119 * [backup-simplify]: Simplify 0 into 0
2.119 * [backup-simplify]: Simplify 0 into 0
2.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.119 * [backup-simplify]: Simplify 0 into 0
2.119 * [backup-simplify]: Simplify 0 into 0
2.120 * [backup-simplify]: Simplify (* 1 (* re 1)) into re
2.120 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (pow (/ 1 im) 2) (* (/ 1 re) (/ 1 re))))) (sqrt (sqrt (+ (pow (/ 1 im) 2) (* (/ 1 re) (/ 1 re)))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
2.120 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (im re) around 0
2.120 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.120 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.120 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.120 * [taylor]: Taking taylor expansion of re in re
2.120 * [backup-simplify]: Simplify 0 into 0
2.120 * [backup-simplify]: Simplify 1 into 1
2.120 * [backup-simplify]: Simplify (* 1 1) into 1
2.121 * [backup-simplify]: Simplify (/ 1 1) into 1
2.121 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.121 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.121 * [taylor]: Taking taylor expansion of im in re
2.121 * [backup-simplify]: Simplify im into im
2.121 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.121 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.121 * [backup-simplify]: Simplify (+ 1 0) into 1
2.121 * [backup-simplify]: Simplify (sqrt 1) into 1
2.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.123 * [backup-simplify]: Simplify (+ 0 0) into 0
2.123 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.123 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.123 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.123 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.123 * [taylor]: Taking taylor expansion of re in im
2.123 * [backup-simplify]: Simplify re into re
2.123 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.123 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.123 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.123 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.123 * [taylor]: Taking taylor expansion of im in im
2.123 * [backup-simplify]: Simplify 0 into 0
2.123 * [backup-simplify]: Simplify 1 into 1
2.124 * [backup-simplify]: Simplify (* 1 1) into 1
2.124 * [backup-simplify]: Simplify (/ 1 1) into 1
2.124 * [backup-simplify]: Simplify (+ 0 1) into 1
2.124 * [backup-simplify]: Simplify (sqrt 1) into 1
2.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.125 * [backup-simplify]: Simplify (+ 0 0) into 0
2.126 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.126 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.126 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.126 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.126 * [taylor]: Taking taylor expansion of re in im
2.126 * [backup-simplify]: Simplify re into re
2.126 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.126 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.126 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.126 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.126 * [taylor]: Taking taylor expansion of im in im
2.126 * [backup-simplify]: Simplify 0 into 0
2.126 * [backup-simplify]: Simplify 1 into 1
2.126 * [backup-simplify]: Simplify (* 1 1) into 1
2.127 * [backup-simplify]: Simplify (/ 1 1) into 1
2.127 * [backup-simplify]: Simplify (+ 0 1) into 1
2.127 * [backup-simplify]: Simplify (sqrt 1) into 1
2.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.128 * [backup-simplify]: Simplify (+ 0 0) into 0
2.129 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.129 * [taylor]: Taking taylor expansion of 1 in re
2.129 * [backup-simplify]: Simplify 1 into 1
2.129 * [taylor]: Taking taylor expansion of 0 in re
2.129 * [backup-simplify]: Simplify 0 into 0
2.129 * [backup-simplify]: Simplify 1 into 1
2.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.130 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
2.131 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
2.131 * [taylor]: Taking taylor expansion of (/ 1/2 (pow re 2)) in re
2.131 * [taylor]: Taking taylor expansion of 1/2 in re
2.131 * [backup-simplify]: Simplify 1/2 into 1/2
2.131 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.131 * [taylor]: Taking taylor expansion of re in re
2.131 * [backup-simplify]: Simplify 0 into 0
2.131 * [backup-simplify]: Simplify 1 into 1
2.131 * [backup-simplify]: Simplify (* 1 1) into 1
2.132 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.133 * [backup-simplify]: Simplify 0 into 0
2.133 * [backup-simplify]: Simplify 0 into 0
2.133 * [backup-simplify]: Simplify 0 into 0
2.133 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.133 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
2.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.134 * [backup-simplify]: Simplify (+ 0 0) into 0
2.135 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0
2.135 * [taylor]: Taking taylor expansion of 0 in re
2.135 * [backup-simplify]: Simplify 0 into 0
2.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.136 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.136 * [backup-simplify]: Simplify 0 into 0
2.136 * [backup-simplify]: Simplify 0 into 0
2.136 * [backup-simplify]: Simplify 0 into 0
2.136 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 im)))) into im
2.137 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (pow (/ 1 (- im)) 2) (* (/ 1 (- re)) (/ 1 (- re)))))) (sqrt (sqrt (+ (pow (/ 1 (- im)) 2) (* (/ 1 (- re)) (/ 1 (- re))))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
2.137 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (im re) around 0
2.137 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.137 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.137 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.137 * [taylor]: Taking taylor expansion of re in re
2.137 * [backup-simplify]: Simplify 0 into 0
2.137 * [backup-simplify]: Simplify 1 into 1
2.137 * [backup-simplify]: Simplify (* 1 1) into 1
2.137 * [backup-simplify]: Simplify (/ 1 1) into 1
2.137 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.137 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.137 * [taylor]: Taking taylor expansion of im in re
2.137 * [backup-simplify]: Simplify im into im
2.137 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.137 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.138 * [backup-simplify]: Simplify (+ 1 0) into 1
2.138 * [backup-simplify]: Simplify (sqrt 1) into 1
2.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.139 * [backup-simplify]: Simplify (+ 0 0) into 0
2.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.140 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.140 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.140 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.140 * [taylor]: Taking taylor expansion of re in im
2.140 * [backup-simplify]: Simplify re into re
2.140 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.140 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.140 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.140 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.140 * [taylor]: Taking taylor expansion of im in im
2.140 * [backup-simplify]: Simplify 0 into 0
2.140 * [backup-simplify]: Simplify 1 into 1
2.140 * [backup-simplify]: Simplify (* 1 1) into 1
2.140 * [backup-simplify]: Simplify (/ 1 1) into 1
2.141 * [backup-simplify]: Simplify (+ 0 1) into 1
2.141 * [backup-simplify]: Simplify (sqrt 1) into 1
2.141 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.142 * [backup-simplify]: Simplify (+ 0 0) into 0
2.142 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.142 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.142 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.142 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.142 * [taylor]: Taking taylor expansion of re in im
2.142 * [backup-simplify]: Simplify re into re
2.143 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.143 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.143 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.143 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.143 * [taylor]: Taking taylor expansion of im in im
2.143 * [backup-simplify]: Simplify 0 into 0
2.143 * [backup-simplify]: Simplify 1 into 1
2.143 * [backup-simplify]: Simplify (* 1 1) into 1
2.143 * [backup-simplify]: Simplify (/ 1 1) into 1
2.143 * [backup-simplify]: Simplify (+ 0 1) into 1
2.144 * [backup-simplify]: Simplify (sqrt 1) into 1
2.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.145 * [backup-simplify]: Simplify (+ 0 0) into 0
2.145 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.145 * [taylor]: Taking taylor expansion of 1 in re
2.145 * [backup-simplify]: Simplify 1 into 1
2.145 * [taylor]: Taking taylor expansion of 0 in re
2.145 * [backup-simplify]: Simplify 0 into 0
2.145 * [backup-simplify]: Simplify 1 into 1
2.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.147 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
2.147 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
2.147 * [taylor]: Taking taylor expansion of (/ 1/2 (pow re 2)) in re
2.147 * [taylor]: Taking taylor expansion of 1/2 in re
2.147 * [backup-simplify]: Simplify 1/2 into 1/2
2.147 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.147 * [taylor]: Taking taylor expansion of re in re
2.148 * [backup-simplify]: Simplify 0 into 0
2.148 * [backup-simplify]: Simplify 1 into 1
2.148 * [backup-simplify]: Simplify (* 1 1) into 1
2.148 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.148 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.149 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.149 * [backup-simplify]: Simplify 0 into 0
2.149 * [backup-simplify]: Simplify 0 into 0
2.149 * [backup-simplify]: Simplify 0 into 0
2.149 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.149 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
2.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.151 * [backup-simplify]: Simplify (+ 0 0) into 0
2.152 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0
2.152 * [taylor]: Taking taylor expansion of 0 in re
2.152 * [backup-simplify]: Simplify 0 into 0
2.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.154 * [backup-simplify]: Simplify 0 into 0
2.154 * [backup-simplify]: Simplify 0 into 0
2.154 * [backup-simplify]: Simplify 0 into 0
2.155 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- im))))) into (* -1 im)
2.155 * * * [progress]: simplifying candidates
2.159 * [simplify]: Simplifying:
  (log (sqrt (+ (pow im 2) (* re re))))
  (exp (sqrt (+ (pow im 2) (* re re))))
  (* (cbrt (sqrt (+ (pow im 2) (* re re)))) (cbrt (sqrt (+ (pow im 2) (* re re)))))
  (cbrt (sqrt (+ (pow im 2) (* re re))))
  (* (* (sqrt (+ (pow im 2) (* re re))) (sqrt (+ (pow im 2) (* re re)))) (sqrt (+ (pow im 2) (* re re))))
  (sqrt (* (cbrt (+ (pow im 2) (* re re))) (cbrt (+ (pow im 2) (* re re)))))
  (sqrt (cbrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt 1)
  (sqrt (+ (pow im 2) (* re re)))
  (sqrt (+ (pow (pow im 2) 3) (pow (* re re) 3)))
  (sqrt (+ (* (pow im 2) (pow im 2)) (- (* (* re re) (* re re)) (* (pow im 2) (* re re)))))
  (sqrt (- (* (pow im 2) (pow im 2)) (* (* re re) (* re re))))
  (sqrt (- (pow im 2) (* re re)))
  (/ 1 2)
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (log (sqrt (+ (pow im 2) (* re re))))
  (exp (sqrt (+ (pow im 2) (* re re))))
  (* (cbrt (sqrt (+ (pow im 2) (* re re)))) (cbrt (sqrt (+ (pow im 2) (* re re)))))
  (cbrt (sqrt (+ (pow im 2) (* re re))))
  (* (* (sqrt (+ (pow im 2) (* re re))) (sqrt (+ (pow im 2) (* re re)))) (sqrt (+ (pow im 2) (* re re))))
  (sqrt (* (cbrt (+ (pow im 2) (* re re))) (cbrt (+ (pow im 2) (* re re)))))
  (sqrt (cbrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt 1)
  (sqrt (+ (pow im 2) (* re re)))
  (sqrt (+ (pow (pow im 2) 3) (pow (* re re) 3)))
  (sqrt (+ (* (pow im 2) (pow im 2)) (- (* (* re re) (* re re)) (* (pow im 2) (* re re)))))
  (sqrt (- (* (pow im 2) (pow im 2)) (* (* re re) (* re re))))
  (sqrt (- (pow im 2) (* re re)))
  (/ 1 2)
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (* (exp (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (sqrt (+ (pow im 2) (* re re)))))) (exp re))
  (log (+ (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (sqrt (+ (pow im 2) (* re re))))) re))
  (exp (+ (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (sqrt (+ (pow im 2) (* re re))))) re))
  (* (cbrt (+ (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (sqrt (+ (pow im 2) (* re re))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (sqrt (+ (pow im 2) (* re re))))) re)))
  (cbrt (+ (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (sqrt (+ (pow im 2) (* re re))))) re))
  (* (* (+ (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (sqrt (+ (pow im 2) (* re re))))) re) (+ (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (sqrt (+ (pow im 2) (* re re))))) re)) (+ (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (sqrt (+ (pow im 2) (* re re))))) re))
  (sqrt (+ (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (sqrt (+ (pow im 2) (* re re))))) re))
  (sqrt (+ (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (sqrt (+ (pow im 2) (* re re))))) re))
  (+ (pow (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (sqrt (+ (pow im 2) (* re re))))) 3) (pow re 3))
  (+ (* (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (sqrt (+ (pow im 2) (* re re))))) (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (sqrt (+ (pow im 2) (* re re)))))) (- (* re re) (* (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (sqrt (+ (pow im 2) (* re re))))) re)))
  (- (* (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (sqrt (+ (pow im 2) (* re re))))) (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (sqrt (+ (pow im 2) (* re re)))))) (* re re))
  (- (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (sqrt (+ (pow im 2) (* re re))))) re)
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1/2 2) (/ 1/2 2))
  (+ (/ 1/2 2) (/ (/ 1 2) 2))
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (+ (/ (/ 1 2) 2) (/ 1/2 2))
  (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))
  (* (sqrt (+ (pow im 2) (* re re))) (sqrt (+ (pow im 2) (* re re))))
  (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (sqrt (+ (pow im 2) (* re re)))))
  (* (+ (pow im 2) (* re re)) (+ (pow im 2) (* re re)))
  (* (sqrt (+ (pow im 2) (* re re))) (sqrt (+ (pow im 2) (* re re))))
  (* (+ (pow im 2) (* re re)) (+ (pow im 2) (* re re)))
  (+ 1 1)
  (+ (log (sqrt (sqrt (+ (pow im 2) (* re re))))) (log (sqrt (sqrt (+ (pow im 2) (* re re))))))
  (log (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (sqrt (+ (pow im 2) (* re re))))))
  (exp (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (sqrt (+ (pow im 2) (* re re))))))
  (* (* (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (sqrt (+ (pow im 2) (* re re))))) (sqrt (sqrt (+ (pow im 2) (* re re))))) (* (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (sqrt (+ (pow im 2) (* re re))))) (sqrt (sqrt (+ (pow im 2) (* re re))))))
  (* (cbrt (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (sqrt (+ (pow im 2) (* re re)))))) (cbrt (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (sqrt (+ (pow im 2) (* re re)))))))
  (cbrt (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (sqrt (+ (pow im 2) (* re re))))))
  (* (* (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (sqrt (+ (pow im 2) (* re re))))) (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (sqrt (+ (pow im 2) (* re re)))))) (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (sqrt (+ (pow im 2) (* re re))))))
  (* (sqrt (+ (pow im 2) (* re re))) (sqrt (+ (pow im 2) (* re re))))
  (sqrt (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (sqrt (+ (pow im 2) (* re re))))))
  (sqrt (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (sqrt (+ (pow im 2) (* re re))))))
  (* (sqrt (sqrt (+ (pow (pow im 2) 3) (pow (* re re) 3)))) (sqrt (sqrt (+ (pow (pow im 2) 3) (pow (* re re) 3)))))
  (* (sqrt (sqrt (+ (* (pow im 2) (pow im 2)) (- (* (* re re) (* re re)) (* (pow im 2) (* re re)))))) (sqrt (sqrt (+ (* (pow im 2) (pow im 2)) (- (* (* re re) (* re re)) (* (pow im 2) (* re re)))))))
  (* (sqrt (sqrt (+ (pow (pow im 2) 3) (pow (* re re) 3)))) (sqrt (sqrt (- (* (pow im 2) (pow im 2)) (* (* re re) (* re re))))))
  (* (sqrt (sqrt (+ (* (pow im 2) (pow im 2)) (- (* (* re re) (* re re)) (* (pow im 2) (* re re)))))) (sqrt (sqrt (- (pow im 2) (* re re)))))
  (* (sqrt (sqrt (- (* (pow im 2) (pow im 2)) (* (* re re) (* re re))))) (sqrt (sqrt (+ (pow (pow im 2) 3) (pow (* re re) 3)))))
  (* (sqrt (sqrt (- (pow im 2) (* re re)))) (sqrt (sqrt (+ (* (pow im 2) (pow im 2)) (- (* (* re re) (* re re)) (* (pow im 2) (* re re)))))))
  (* (sqrt (sqrt (- (* (pow im 2) (pow im 2)) (* (* re re) (* re re))))) (sqrt (sqrt (- (* (pow im 2) (pow im 2)) (* (* re re) (* re re))))))
  (* (sqrt (sqrt (- (pow im 2) (* re re)))) (sqrt (sqrt (- (pow im 2) (* re re)))))
  (* (* (cbrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (cbrt (sqrt (sqrt (+ (pow im 2) (* re re)))))) (* (cbrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (cbrt (sqrt (sqrt (+ (pow im 2) (* re re)))))))
  (* (cbrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (cbrt (sqrt (sqrt (+ (pow im 2) (* re re))))))
  (* (sqrt (* (cbrt (sqrt (+ (pow im 2) (* re re)))) (cbrt (sqrt (+ (pow im 2) (* re re)))))) (sqrt (* (cbrt (sqrt (+ (pow im 2) (* re re)))) (cbrt (sqrt (+ (pow im 2) (* re re)))))))
  (* (sqrt (cbrt (sqrt (+ (pow im 2) (* re re))))) (sqrt (cbrt (sqrt (+ (pow im 2) (* re re))))))
  (* (sqrt (sqrt (* (cbrt (+ (pow im 2) (* re re))) (cbrt (+ (pow im 2) (* re re)))))) (sqrt (sqrt (* (cbrt (+ (pow im 2) (* re re))) (cbrt (+ (pow im 2) (* re re)))))))
  (* (sqrt (sqrt (cbrt (+ (pow im 2) (* re re))))) (sqrt (sqrt (cbrt (+ (pow im 2) (* re re))))))
  (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))))
  (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))))
  (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))))
  (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))))
  (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))))
  (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))))
  (* (sqrt (sqrt 1)) (sqrt (sqrt 1)))
  (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (sqrt (+ (pow im 2) (* re re)))))
  (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))))
  (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))))
  (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))))
  (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))))
  (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))))
  (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (sqrt (+ (pow im 2) (* re re)))))
  (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))))
  (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))))
  (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))))
  (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))))
  (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))))
  (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))))
  (* 1 1)
  (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (sqrt (+ (pow im 2) (* re re)))))
  (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))))
  (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))))
  (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))))
  (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))))
  (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))))
  (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))))
  (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))))
  (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))))
  (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))))
  (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))))
  (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))))
  (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))))
  (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))))
  (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))))
  (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))))
  (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))))
  (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))))
  (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1/2 2))
  (* 2 (/ 1 2))
  (* 2 (/ (/ 1 2) 2))
  (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (* (cbrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (cbrt (sqrt (sqrt (+ (pow im 2) (* re re)))))))
  (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (* (cbrt (sqrt (+ (pow im 2) (* re re)))) (cbrt (sqrt (+ (pow im 2) (* re re)))))))
  (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (sqrt (* (cbrt (+ (pow im 2) (* re re))) (cbrt (+ (pow im 2) (* re re)))))))
  (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))))
  (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (sqrt 1)))
  (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))))
  (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt 1))
  (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))))
  (* (sqrt (sqrt (+ (pow im 2) (* re re)))) 1)
  (* (cbrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (sqrt (sqrt (+ (pow im 2) (* re re)))))
  (* (sqrt (cbrt (sqrt (+ (pow im 2) (* re re))))) (sqrt (sqrt (+ (pow im 2) (* re re)))))
  (* (sqrt (sqrt (cbrt (+ (pow im 2) (* re re))))) (sqrt (sqrt (+ (pow im 2) (* re re)))))
  (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (sqrt (sqrt (+ (pow im 2) (* re re)))))
  (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (sqrt (+ (pow im 2) (* re re)))))
  (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (sqrt (sqrt (+ (pow im 2) (* re re)))))
  (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (sqrt (+ (pow im 2) (* re re)))))
  (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (sqrt (sqrt (+ (pow im 2) (* re re)))))
  (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (sqrt (+ (pow im 2) (* re re)))))
  (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (sqrt (+ (pow (pow im 2) 3) (pow (* re re) 3)))))
  (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (sqrt (- (* (pow im 2) (pow im 2)) (* (* re re) (* re re))))))
  (* (sqrt (sqrt (+ (pow (pow im 2) 3) (pow (* re re) 3)))) (sqrt (sqrt (+ (pow im 2) (* re re)))))
  (* (sqrt (sqrt (- (* (pow im 2) (pow im 2)) (* (* re re) (* re re))))) (sqrt (sqrt (+ (pow im 2) (* re re)))))
  re
  im
  (* -1 im)
  re
  im
  (* -1 im)
  (* 2 re)
  (+ re im)
  (- re im)
  re
  im
  (* -1 im)
2.164 * * [simplify]: iteration 0: 133 enodes
2.211 * * [simplify]: iteration 1: 298 enodes
2.338 * * [simplify]: iteration 2: 1161 enodes
2.883 * * [simplify]: iteration complete: 5001 enodes
2.883 * * [simplify]: Extracting #0: cost 46 inf + 0
2.891 * * [simplify]: Extracting #1: cost 785 inf + 5
2.899 * * [simplify]: Extracting #2: cost 1498 inf + 256
2.909 * * [simplify]: Extracting #3: cost 1237 inf + 7957
2.919 * * [simplify]: Extracting #4: cost 280 inf + 25383
2.930 * * [simplify]: Extracting #5: cost 28 inf + 30143
2.940 * * [simplify]: Extracting #6: cost 22 inf + 30192
2.948 * * [simplify]: Extracting #7: cost 5 inf + 30273
2.954 * * [simplify]: Extracting #8: cost 0 inf + 30308
2.962 * [simplify]: Simplified to:
  (log (sqrt (+ (pow im 2) (* re re))))
  (exp (sqrt (+ (pow im 2) (* re re))))
  (* (cbrt (sqrt (+ (pow im 2) (* re re)))) (cbrt (sqrt (+ (pow im 2) (* re re)))))
  (cbrt (sqrt (+ (pow im 2) (* re re))))
  (pow (sqrt (+ (pow im 2) (* re re))) 3)
  (fabs (cbrt (+ (pow im 2) (* re re))))
  (sqrt (cbrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  1
  (sqrt (+ (pow im 2) (* re re)))
  (sqrt (+ (pow re 6) (pow (pow im 2) 3)))
  (sqrt (+ (pow im 4) (* (- (* re re) (pow im 2)) (* re re))))
  (sqrt (- (pow im 4) (pow re 4)))
  (sqrt (- (pow im 2) (* re re)))
  1/2
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (log (sqrt (+ (pow im 2) (* re re))))
  (exp (sqrt (+ (pow im 2) (* re re))))
  (* (cbrt (sqrt (+ (pow im 2) (* re re)))) (cbrt (sqrt (+ (pow im 2) (* re re)))))
  (cbrt (sqrt (+ (pow im 2) (* re re))))
  (pow (sqrt (+ (pow im 2) (* re re))) 3)
  (fabs (cbrt (+ (pow im 2) (* re re))))
  (sqrt (cbrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  1
  (sqrt (+ (pow im 2) (* re re)))
  (sqrt (+ (pow re 6) (pow (pow im 2) 3)))
  (sqrt (+ (pow im 4) (* (- (* re re) (pow im 2)) (* re re))))
  (sqrt (- (pow im 4) (pow re 4)))
  (sqrt (- (pow im 2) (* re re)))
  1/2
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (exp (+ (sqrt (+ (pow im 2) (* re re))) re))
  (log (+ (sqrt (+ (pow im 2) (* re re))) re))
  (exp (+ (sqrt (+ (pow im 2) (* re re))) re))
  (* (cbrt (+ (sqrt (+ (pow im 2) (* re re))) re)) (cbrt (+ (sqrt (+ (pow im 2) (* re re))) re)))
  (cbrt (+ (sqrt (+ (pow im 2) (* re re))) re))
  (pow (+ (sqrt (+ (pow im 2) (* re re))) re) 3)
  (sqrt (+ (sqrt (+ (pow im 2) (* re re))) re))
  (sqrt (+ (sqrt (+ (pow im 2) (* re re))) re))
  (+ (pow (sqrt (+ (pow im 2) (* re re))) 3) (pow re 3))
  (+ (pow im 2) (* re (+ (- re (sqrt (+ (pow im 2) (* re re)))) re)))
  (+ (pow im 2) 0)
  (- (sqrt (+ (pow im 2) (* re re))) re)
  1
  1
  2
  1/2
  1/2
  1
  1
  1/2
  1/2
  (+ (pow im 2) (* re re))
  (sqrt (+ (pow im 2) (* re re)))
  (pow (sqrt (+ (pow im 2) (* re re))) (+ 3 1))
  (+ (pow im 2) (* re re))
  (pow (sqrt (+ (pow im 2) (* re re))) (+ 3 1))
  2
  (log (sqrt (+ (pow im 2) (* re re))))
  (log (sqrt (+ (pow im 2) (* re re))))
  (exp (sqrt (+ (pow im 2) (* re re))))
  (pow (sqrt (+ (pow im 2) (* re re))) 3)
  (* (cbrt (sqrt (+ (pow im 2) (* re re)))) (cbrt (sqrt (+ (pow im 2) (* re re)))))
  (cbrt (sqrt (+ (pow im 2) (* re re))))
  (pow (sqrt (+ (pow im 2) (* re re))) 3)
  (+ (pow im 2) (* re re))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (+ (pow re 6) (pow (pow im 2) 3)))
  (sqrt (+ (pow im 4) (* (- (* re re) (pow im 2)) (* re re))))
  (* (sqrt (sqrt (+ (pow re 6) (pow (pow im 2) 3)))) (sqrt (sqrt (- (pow im 4) (pow re 4)))))
  (* (sqrt (sqrt (- (pow im 2) (* re re)))) (sqrt (sqrt (+ (pow im 4) (* (- (* re re) (pow im 2)) (* re re))))))
  (* (sqrt (sqrt (+ (pow re 6) (pow (pow im 2) 3)))) (sqrt (sqrt (- (pow im 4) (pow re 4)))))
  (* (sqrt (sqrt (- (pow im 2) (* re re)))) (sqrt (sqrt (+ (pow im 4) (* (- (* re re) (pow im 2)) (* re re))))))
  (sqrt (- (pow im 4) (pow re 4)))
  (sqrt (- (pow im 2) (* re re)))
  (pow (cbrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (+ 3 1))
  (* (cbrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (cbrt (sqrt (sqrt (+ (pow im 2) (* re re))))))
  (* (cbrt (sqrt (+ (pow im 2) (* re re)))) (cbrt (sqrt (+ (pow im 2) (* re re)))))
  (cbrt (sqrt (+ (pow im 2) (* re re))))
  (fabs (cbrt (+ (pow im 2) (* re re))))
  (sqrt (cbrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  1
  (sqrt (+ (pow im 2) (* re re)))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  1
  (sqrt (+ (pow im 2) (* re re)))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  1
  (sqrt (+ (pow im 2) (* re re)))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  1
  2
  1/2
  1
  1/2
  (* (cbrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (pow (cbrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (+ 3 1)))
  (* (fabs (cbrt (sqrt (+ (pow im 2) (* re re))))) (sqrt (sqrt (+ (pow im 2) (* re re)))))
  (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (fabs (cbrt (+ (pow im 2) (* re re))))))
  (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (pow (cbrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (+ 3 1))
  (* (sqrt (cbrt (sqrt (+ (pow im 2) (* re re))))) (sqrt (sqrt (+ (pow im 2) (* re re)))))
  (* (sqrt (sqrt (cbrt (+ (pow im 2) (* re re))))) (sqrt (sqrt (+ (pow im 2) (* re re)))))
  (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)
  (sqrt (+ (pow im 2) (* re re)))
  (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)
  (sqrt (+ (pow im 2) (* re re)))
  (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)
  (sqrt (+ (pow im 2) (* re re)))
  (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (sqrt (+ (pow re 6) (pow (pow im 2) 3)))))
  (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (sqrt (- (pow im 4) (pow re 4)))))
  (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (sqrt (+ (pow re 6) (pow (pow im 2) 3)))))
  (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (sqrt (- (pow im 4) (pow re 4)))))
  re
  im
  (- im)
  re
  im
  (- im)
  (* re 2)
  (+ re im)
  (- re im)
  re
  im
  (- im)
2.964 * * * [progress]: adding candidates to table
3.528 * * [progress]: iteration 3 / 4
3.528 * * * [progress]: picking best candidate
3.567 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)) re)))))>
3.567 * * * [progress]: localizing error
3.617 * * * [progress]: generating rewritten candidates
3.617 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1 1 1)
3.639 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1 1)
3.660 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2)
3.732 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 2)
3.767 * * * [progress]: generating series expansions
3.767 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1 1 1)
3.768 * [backup-simplify]: Simplify (sqrt (+ (pow im 2) (* re re))) into (sqrt (+ (pow im 2) (pow re 2)))
3.768 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (im re) around 0
3.768 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.768 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.768 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.768 * [taylor]: Taking taylor expansion of im in re
3.768 * [backup-simplify]: Simplify im into im
3.768 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.768 * [taylor]: Taking taylor expansion of re in re
3.768 * [backup-simplify]: Simplify 0 into 0
3.768 * [backup-simplify]: Simplify 1 into 1
3.768 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.768 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.768 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.768 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.769 * [backup-simplify]: Simplify (+ 0 0) into 0
3.769 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.769 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
3.769 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
3.769 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.769 * [taylor]: Taking taylor expansion of im in im
3.769 * [backup-simplify]: Simplify 0 into 0
3.769 * [backup-simplify]: Simplify 1 into 1
3.769 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.769 * [taylor]: Taking taylor expansion of re in im
3.769 * [backup-simplify]: Simplify re into re
3.769 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.769 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
3.769 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.769 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.769 * [backup-simplify]: Simplify (+ 0 0) into 0
3.770 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.770 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
3.770 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
3.770 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.770 * [taylor]: Taking taylor expansion of im in im
3.770 * [backup-simplify]: Simplify 0 into 0
3.770 * [backup-simplify]: Simplify 1 into 1
3.770 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.770 * [taylor]: Taking taylor expansion of re in im
3.770 * [backup-simplify]: Simplify re into re
3.770 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.770 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
3.770 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.770 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.770 * [backup-simplify]: Simplify (+ 0 0) into 0
3.771 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.771 * [taylor]: Taking taylor expansion of re in re
3.771 * [backup-simplify]: Simplify 0 into 0
3.771 * [backup-simplify]: Simplify 1 into 1
3.771 * [backup-simplify]: Simplify 0 into 0
3.771 * [taylor]: Taking taylor expansion of 0 in re
3.771 * [backup-simplify]: Simplify 0 into 0
3.771 * [backup-simplify]: Simplify 0 into 0
3.771 * [backup-simplify]: Simplify 1 into 1
3.771 * [backup-simplify]: Simplify (* 1 1) into 1
3.771 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
3.772 * [backup-simplify]: Simplify (+ 1 0) into 1
3.772 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
3.772 * [taylor]: Taking taylor expansion of (/ 1/2 re) in re
3.772 * [taylor]: Taking taylor expansion of 1/2 in re
3.772 * [backup-simplify]: Simplify 1/2 into 1/2
3.772 * [taylor]: Taking taylor expansion of re in re
3.772 * [backup-simplify]: Simplify 0 into 0
3.772 * [backup-simplify]: Simplify 1 into 1
3.772 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.773 * [backup-simplify]: Simplify 0 into 0
3.773 * [backup-simplify]: Simplify 0 into 0
3.773 * [backup-simplify]: Simplify 0 into 0
3.773 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.774 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
3.774 * [backup-simplify]: Simplify (+ 0 0) into 0
3.774 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
3.774 * [taylor]: Taking taylor expansion of 0 in re
3.774 * [backup-simplify]: Simplify 0 into 0
3.774 * [backup-simplify]: Simplify 0 into 0
3.775 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.775 * [backup-simplify]: Simplify 0 into 0
3.775 * [backup-simplify]: Simplify 0 into 0
3.775 * [backup-simplify]: Simplify (* 1 (* re 1)) into re
3.775 * [backup-simplify]: Simplify (sqrt (+ (pow (/ 1 im) 2) (* (/ 1 re) (/ 1 re)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
3.775 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (im re) around 0
3.775 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.775 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.775 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.775 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.775 * [taylor]: Taking taylor expansion of re in re
3.775 * [backup-simplify]: Simplify 0 into 0
3.775 * [backup-simplify]: Simplify 1 into 1
3.776 * [backup-simplify]: Simplify (* 1 1) into 1
3.776 * [backup-simplify]: Simplify (/ 1 1) into 1
3.776 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.776 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.776 * [taylor]: Taking taylor expansion of im in re
3.776 * [backup-simplify]: Simplify im into im
3.776 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.776 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.776 * [backup-simplify]: Simplify (+ 1 0) into 1
3.777 * [backup-simplify]: Simplify (sqrt 1) into 1
3.777 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.778 * [backup-simplify]: Simplify (+ 0 0) into 0
3.778 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.778 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.778 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.778 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.778 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.778 * [taylor]: Taking taylor expansion of re in im
3.778 * [backup-simplify]: Simplify re into re
3.778 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.778 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.778 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.778 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.778 * [taylor]: Taking taylor expansion of im in im
3.778 * [backup-simplify]: Simplify 0 into 0
3.778 * [backup-simplify]: Simplify 1 into 1
3.779 * [backup-simplify]: Simplify (* 1 1) into 1
3.779 * [backup-simplify]: Simplify (/ 1 1) into 1
3.779 * [backup-simplify]: Simplify (+ 0 1) into 1
3.779 * [backup-simplify]: Simplify (sqrt 1) into 1
3.780 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.780 * [backup-simplify]: Simplify (+ 0 0) into 0
3.781 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.781 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.781 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.781 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.781 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.781 * [taylor]: Taking taylor expansion of re in im
3.781 * [backup-simplify]: Simplify re into re
3.781 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.781 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.781 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.781 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.781 * [taylor]: Taking taylor expansion of im in im
3.781 * [backup-simplify]: Simplify 0 into 0
3.781 * [backup-simplify]: Simplify 1 into 1
3.781 * [backup-simplify]: Simplify (* 1 1) into 1
3.782 * [backup-simplify]: Simplify (/ 1 1) into 1
3.782 * [backup-simplify]: Simplify (+ 0 1) into 1
3.782 * [backup-simplify]: Simplify (sqrt 1) into 1
3.783 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.783 * [backup-simplify]: Simplify (+ 0 0) into 0
3.784 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.784 * [taylor]: Taking taylor expansion of 1 in re
3.784 * [backup-simplify]: Simplify 1 into 1
3.784 * [taylor]: Taking taylor expansion of 0 in re
3.784 * [backup-simplify]: Simplify 0 into 0
3.784 * [backup-simplify]: Simplify 1 into 1
3.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.785 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
3.786 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
3.786 * [taylor]: Taking taylor expansion of (/ 1/2 (pow re 2)) in re
3.786 * [taylor]: Taking taylor expansion of 1/2 in re
3.786 * [backup-simplify]: Simplify 1/2 into 1/2
3.786 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.786 * [taylor]: Taking taylor expansion of re in re
3.786 * [backup-simplify]: Simplify 0 into 0
3.786 * [backup-simplify]: Simplify 1 into 1
3.786 * [backup-simplify]: Simplify (* 1 1) into 1
3.787 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.787 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.787 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.787 * [backup-simplify]: Simplify 0 into 0
3.787 * [backup-simplify]: Simplify 0 into 0
3.787 * [backup-simplify]: Simplify 0 into 0
3.788 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.788 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
3.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.789 * [backup-simplify]: Simplify (+ 0 0) into 0
3.789 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0
3.790 * [taylor]: Taking taylor expansion of 0 in re
3.790 * [backup-simplify]: Simplify 0 into 0
3.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.791 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.791 * [backup-simplify]: Simplify 0 into 0
3.791 * [backup-simplify]: Simplify 0 into 0
3.791 * [backup-simplify]: Simplify 0 into 0
3.791 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 im)))) into im
3.791 * [backup-simplify]: Simplify (sqrt (+ (pow (/ 1 (- im)) 2) (* (/ 1 (- re)) (/ 1 (- re))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
3.791 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (im re) around 0
3.791 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.791 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.791 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.791 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.791 * [taylor]: Taking taylor expansion of re in re
3.791 * [backup-simplify]: Simplify 0 into 0
3.791 * [backup-simplify]: Simplify 1 into 1
3.791 * [backup-simplify]: Simplify (* 1 1) into 1
3.792 * [backup-simplify]: Simplify (/ 1 1) into 1
3.792 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.792 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.792 * [taylor]: Taking taylor expansion of im in re
3.792 * [backup-simplify]: Simplify im into im
3.792 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.792 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.792 * [backup-simplify]: Simplify (+ 1 0) into 1
3.792 * [backup-simplify]: Simplify (sqrt 1) into 1
3.793 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.793 * [backup-simplify]: Simplify (+ 0 0) into 0
3.794 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.794 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.794 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.794 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.794 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.794 * [taylor]: Taking taylor expansion of re in im
3.794 * [backup-simplify]: Simplify re into re
3.794 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.794 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.794 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.794 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.794 * [taylor]: Taking taylor expansion of im in im
3.794 * [backup-simplify]: Simplify 0 into 0
3.794 * [backup-simplify]: Simplify 1 into 1
3.794 * [backup-simplify]: Simplify (* 1 1) into 1
3.795 * [backup-simplify]: Simplify (/ 1 1) into 1
3.795 * [backup-simplify]: Simplify (+ 0 1) into 1
3.795 * [backup-simplify]: Simplify (sqrt 1) into 1
3.796 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.796 * [backup-simplify]: Simplify (+ 0 0) into 0
3.797 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.797 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.797 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.797 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.797 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.797 * [taylor]: Taking taylor expansion of re in im
3.797 * [backup-simplify]: Simplify re into re
3.797 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.797 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.797 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.797 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.797 * [taylor]: Taking taylor expansion of im in im
3.797 * [backup-simplify]: Simplify 0 into 0
3.797 * [backup-simplify]: Simplify 1 into 1
3.797 * [backup-simplify]: Simplify (* 1 1) into 1
3.797 * [backup-simplify]: Simplify (/ 1 1) into 1
3.798 * [backup-simplify]: Simplify (+ 0 1) into 1
3.798 * [backup-simplify]: Simplify (sqrt 1) into 1
3.799 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.800 * [backup-simplify]: Simplify (+ 0 0) into 0
3.800 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.801 * [taylor]: Taking taylor expansion of 1 in re
3.801 * [backup-simplify]: Simplify 1 into 1
3.801 * [taylor]: Taking taylor expansion of 0 in re
3.801 * [backup-simplify]: Simplify 0 into 0
3.801 * [backup-simplify]: Simplify 1 into 1
3.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.803 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
3.804 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
3.804 * [taylor]: Taking taylor expansion of (/ 1/2 (pow re 2)) in re
3.804 * [taylor]: Taking taylor expansion of 1/2 in re
3.804 * [backup-simplify]: Simplify 1/2 into 1/2
3.804 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.804 * [taylor]: Taking taylor expansion of re in re
3.804 * [backup-simplify]: Simplify 0 into 0
3.804 * [backup-simplify]: Simplify 1 into 1
3.804 * [backup-simplify]: Simplify (* 1 1) into 1
3.805 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.806 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.807 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.807 * [backup-simplify]: Simplify 0 into 0
3.807 * [backup-simplify]: Simplify 0 into 0
3.807 * [backup-simplify]: Simplify 0 into 0
3.807 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.807 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
3.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.809 * [backup-simplify]: Simplify (+ 0 0) into 0
3.810 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0
3.810 * [taylor]: Taking taylor expansion of 0 in re
3.810 * [backup-simplify]: Simplify 0 into 0
3.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.812 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.812 * [backup-simplify]: Simplify 0 into 0
3.812 * [backup-simplify]: Simplify 0 into 0
3.812 * [backup-simplify]: Simplify 0 into 0
3.812 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- im))))) into (* -1 im)
3.812 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1 1)
3.813 * [backup-simplify]: Simplify (sqrt (+ (pow im 2) (* re re))) into (sqrt (+ (pow im 2) (pow re 2)))
3.813 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (im re) around 0
3.813 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.813 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.813 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.813 * [taylor]: Taking taylor expansion of im in re
3.813 * [backup-simplify]: Simplify im into im
3.813 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.813 * [taylor]: Taking taylor expansion of re in re
3.813 * [backup-simplify]: Simplify 0 into 0
3.813 * [backup-simplify]: Simplify 1 into 1
3.813 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.813 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.813 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.814 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.814 * [backup-simplify]: Simplify (+ 0 0) into 0
3.814 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.814 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
3.814 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
3.814 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.814 * [taylor]: Taking taylor expansion of im in im
3.814 * [backup-simplify]: Simplify 0 into 0
3.814 * [backup-simplify]: Simplify 1 into 1
3.814 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.814 * [taylor]: Taking taylor expansion of re in im
3.814 * [backup-simplify]: Simplify re into re
3.814 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.815 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
3.815 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.815 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.815 * [backup-simplify]: Simplify (+ 0 0) into 0
3.815 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.816 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
3.816 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
3.816 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.816 * [taylor]: Taking taylor expansion of im in im
3.816 * [backup-simplify]: Simplify 0 into 0
3.816 * [backup-simplify]: Simplify 1 into 1
3.816 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.816 * [taylor]: Taking taylor expansion of re in im
3.816 * [backup-simplify]: Simplify re into re
3.816 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.816 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
3.816 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.816 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.817 * [backup-simplify]: Simplify (+ 0 0) into 0
3.817 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.817 * [taylor]: Taking taylor expansion of re in re
3.817 * [backup-simplify]: Simplify 0 into 0
3.817 * [backup-simplify]: Simplify 1 into 1
3.817 * [backup-simplify]: Simplify 0 into 0
3.817 * [taylor]: Taking taylor expansion of 0 in re
3.817 * [backup-simplify]: Simplify 0 into 0
3.817 * [backup-simplify]: Simplify 0 into 0
3.817 * [backup-simplify]: Simplify 1 into 1
3.817 * [backup-simplify]: Simplify (* 1 1) into 1
3.818 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
3.818 * [backup-simplify]: Simplify (+ 1 0) into 1
3.819 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
3.819 * [taylor]: Taking taylor expansion of (/ 1/2 re) in re
3.819 * [taylor]: Taking taylor expansion of 1/2 in re
3.819 * [backup-simplify]: Simplify 1/2 into 1/2
3.819 * [taylor]: Taking taylor expansion of re in re
3.819 * [backup-simplify]: Simplify 0 into 0
3.819 * [backup-simplify]: Simplify 1 into 1
3.820 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.821 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.821 * [backup-simplify]: Simplify 0 into 0
3.821 * [backup-simplify]: Simplify 0 into 0
3.821 * [backup-simplify]: Simplify 0 into 0
3.821 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.822 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
3.822 * [backup-simplify]: Simplify (+ 0 0) into 0
3.822 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
3.822 * [taylor]: Taking taylor expansion of 0 in re
3.822 * [backup-simplify]: Simplify 0 into 0
3.822 * [backup-simplify]: Simplify 0 into 0
3.823 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.823 * [backup-simplify]: Simplify 0 into 0
3.823 * [backup-simplify]: Simplify 0 into 0
3.823 * [backup-simplify]: Simplify (* 1 (* re 1)) into re
3.823 * [backup-simplify]: Simplify (sqrt (+ (pow (/ 1 im) 2) (* (/ 1 re) (/ 1 re)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
3.823 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (im re) around 0
3.823 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.823 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.823 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.823 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.823 * [taylor]: Taking taylor expansion of re in re
3.824 * [backup-simplify]: Simplify 0 into 0
3.824 * [backup-simplify]: Simplify 1 into 1
3.824 * [backup-simplify]: Simplify (* 1 1) into 1
3.824 * [backup-simplify]: Simplify (/ 1 1) into 1
3.824 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.824 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.824 * [taylor]: Taking taylor expansion of im in re
3.824 * [backup-simplify]: Simplify im into im
3.824 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.824 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.825 * [backup-simplify]: Simplify (+ 1 0) into 1
3.825 * [backup-simplify]: Simplify (sqrt 1) into 1
3.825 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.826 * [backup-simplify]: Simplify (+ 0 0) into 0
3.826 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.827 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.827 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.827 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.827 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.827 * [taylor]: Taking taylor expansion of re in im
3.827 * [backup-simplify]: Simplify re into re
3.827 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.827 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.827 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.827 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.827 * [taylor]: Taking taylor expansion of im in im
3.827 * [backup-simplify]: Simplify 0 into 0
3.827 * [backup-simplify]: Simplify 1 into 1
3.827 * [backup-simplify]: Simplify (* 1 1) into 1
3.829 * [backup-simplify]: Simplify (/ 1 1) into 1
3.830 * [backup-simplify]: Simplify (+ 0 1) into 1
3.830 * [backup-simplify]: Simplify (sqrt 1) into 1
3.830 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.831 * [backup-simplify]: Simplify (+ 0 0) into 0
3.831 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.831 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.831 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.831 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.831 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.831 * [taylor]: Taking taylor expansion of re in im
3.831 * [backup-simplify]: Simplify re into re
3.831 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.832 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.832 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.832 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.832 * [taylor]: Taking taylor expansion of im in im
3.832 * [backup-simplify]: Simplify 0 into 0
3.832 * [backup-simplify]: Simplify 1 into 1
3.832 * [backup-simplify]: Simplify (* 1 1) into 1
3.832 * [backup-simplify]: Simplify (/ 1 1) into 1
3.832 * [backup-simplify]: Simplify (+ 0 1) into 1
3.833 * [backup-simplify]: Simplify (sqrt 1) into 1
3.833 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.834 * [backup-simplify]: Simplify (+ 0 0) into 0
3.834 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.834 * [taylor]: Taking taylor expansion of 1 in re
3.834 * [backup-simplify]: Simplify 1 into 1
3.834 * [taylor]: Taking taylor expansion of 0 in re
3.834 * [backup-simplify]: Simplify 0 into 0
3.834 * [backup-simplify]: Simplify 1 into 1
3.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.836 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
3.836 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
3.836 * [taylor]: Taking taylor expansion of (/ 1/2 (pow re 2)) in re
3.836 * [taylor]: Taking taylor expansion of 1/2 in re
3.836 * [backup-simplify]: Simplify 1/2 into 1/2
3.836 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.836 * [taylor]: Taking taylor expansion of re in re
3.836 * [backup-simplify]: Simplify 0 into 0
3.836 * [backup-simplify]: Simplify 1 into 1
3.837 * [backup-simplify]: Simplify (* 1 1) into 1
3.837 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.837 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.838 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.838 * [backup-simplify]: Simplify 0 into 0
3.838 * [backup-simplify]: Simplify 0 into 0
3.838 * [backup-simplify]: Simplify 0 into 0
3.838 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.838 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
3.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.840 * [backup-simplify]: Simplify (+ 0 0) into 0
3.840 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0
3.840 * [taylor]: Taking taylor expansion of 0 in re
3.840 * [backup-simplify]: Simplify 0 into 0
3.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.841 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.841 * [backup-simplify]: Simplify 0 into 0
3.841 * [backup-simplify]: Simplify 0 into 0
3.841 * [backup-simplify]: Simplify 0 into 0
3.841 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 im)))) into im
3.841 * [backup-simplify]: Simplify (sqrt (+ (pow (/ 1 (- im)) 2) (* (/ 1 (- re)) (/ 1 (- re))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
3.842 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (im re) around 0
3.842 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.842 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.842 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.842 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.842 * [taylor]: Taking taylor expansion of re in re
3.842 * [backup-simplify]: Simplify 0 into 0
3.842 * [backup-simplify]: Simplify 1 into 1
3.842 * [backup-simplify]: Simplify (* 1 1) into 1
3.842 * [backup-simplify]: Simplify (/ 1 1) into 1
3.842 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.842 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.842 * [taylor]: Taking taylor expansion of im in re
3.842 * [backup-simplify]: Simplify im into im
3.842 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.842 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.843 * [backup-simplify]: Simplify (+ 1 0) into 1
3.843 * [backup-simplify]: Simplify (sqrt 1) into 1
3.843 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.844 * [backup-simplify]: Simplify (+ 0 0) into 0
3.844 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.844 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.844 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.844 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.844 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.844 * [taylor]: Taking taylor expansion of re in im
3.844 * [backup-simplify]: Simplify re into re
3.845 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.845 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.845 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.845 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.845 * [taylor]: Taking taylor expansion of im in im
3.845 * [backup-simplify]: Simplify 0 into 0
3.845 * [backup-simplify]: Simplify 1 into 1
3.845 * [backup-simplify]: Simplify (* 1 1) into 1
3.845 * [backup-simplify]: Simplify (/ 1 1) into 1
3.845 * [backup-simplify]: Simplify (+ 0 1) into 1
3.846 * [backup-simplify]: Simplify (sqrt 1) into 1
3.846 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.847 * [backup-simplify]: Simplify (+ 0 0) into 0
3.847 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.847 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.847 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.847 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.847 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.847 * [taylor]: Taking taylor expansion of re in im
3.847 * [backup-simplify]: Simplify re into re
3.847 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.847 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.847 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.847 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.847 * [taylor]: Taking taylor expansion of im in im
3.848 * [backup-simplify]: Simplify 0 into 0
3.848 * [backup-simplify]: Simplify 1 into 1
3.848 * [backup-simplify]: Simplify (* 1 1) into 1
3.848 * [backup-simplify]: Simplify (/ 1 1) into 1
3.848 * [backup-simplify]: Simplify (+ 0 1) into 1
3.848 * [backup-simplify]: Simplify (sqrt 1) into 1
3.849 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.850 * [backup-simplify]: Simplify (+ 0 0) into 0
3.850 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.850 * [taylor]: Taking taylor expansion of 1 in re
3.850 * [backup-simplify]: Simplify 1 into 1
3.850 * [taylor]: Taking taylor expansion of 0 in re
3.850 * [backup-simplify]: Simplify 0 into 0
3.850 * [backup-simplify]: Simplify 1 into 1
3.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.852 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
3.854 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
3.854 * [taylor]: Taking taylor expansion of (/ 1/2 (pow re 2)) in re
3.854 * [taylor]: Taking taylor expansion of 1/2 in re
3.854 * [backup-simplify]: Simplify 1/2 into 1/2
3.854 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.854 * [taylor]: Taking taylor expansion of re in re
3.854 * [backup-simplify]: Simplify 0 into 0
3.854 * [backup-simplify]: Simplify 1 into 1
3.854 * [backup-simplify]: Simplify (* 1 1) into 1
3.855 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.856 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.856 * [backup-simplify]: Simplify 0 into 0
3.856 * [backup-simplify]: Simplify 0 into 0
3.857 * [backup-simplify]: Simplify 0 into 0
3.857 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.857 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
3.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.859 * [backup-simplify]: Simplify (+ 0 0) into 0
3.860 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0
3.860 * [taylor]: Taking taylor expansion of 0 in re
3.860 * [backup-simplify]: Simplify 0 into 0
3.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.862 * [backup-simplify]: Simplify 0 into 0
3.862 * [backup-simplify]: Simplify 0 into 0
3.862 * [backup-simplify]: Simplify 0 into 0
3.862 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- im))))) into (* -1 im)
3.863 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2)
3.863 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)) re) into (+ re (sqrt (+ (pow im 2) (pow re 2))))
3.863 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (im re) around 0
3.863 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
3.863 * [taylor]: Taking taylor expansion of re in re
3.863 * [backup-simplify]: Simplify 0 into 0
3.864 * [backup-simplify]: Simplify 1 into 1
3.864 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.864 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.864 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.864 * [taylor]: Taking taylor expansion of im in re
3.864 * [backup-simplify]: Simplify im into im
3.864 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.864 * [taylor]: Taking taylor expansion of re in re
3.864 * [backup-simplify]: Simplify 0 into 0
3.864 * [backup-simplify]: Simplify 1 into 1
3.864 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.864 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.864 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.864 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.865 * [backup-simplify]: Simplify (+ 0 0) into 0
3.865 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.865 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
3.865 * [taylor]: Taking taylor expansion of re in im
3.865 * [backup-simplify]: Simplify re into re
3.865 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
3.865 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
3.865 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.865 * [taylor]: Taking taylor expansion of im in im
3.865 * [backup-simplify]: Simplify 0 into 0
3.865 * [backup-simplify]: Simplify 1 into 1
3.865 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.865 * [taylor]: Taking taylor expansion of re in im
3.865 * [backup-simplify]: Simplify re into re
3.865 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.865 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
3.866 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.866 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.866 * [backup-simplify]: Simplify (+ 0 0) into 0
3.866 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.866 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
3.866 * [taylor]: Taking taylor expansion of re in im
3.866 * [backup-simplify]: Simplify re into re
3.866 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
3.866 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
3.866 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.866 * [taylor]: Taking taylor expansion of im in im
3.867 * [backup-simplify]: Simplify 0 into 0
3.867 * [backup-simplify]: Simplify 1 into 1
3.867 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.867 * [taylor]: Taking taylor expansion of re in im
3.867 * [backup-simplify]: Simplify re into re
3.867 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.867 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
3.867 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.867 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.867 * [backup-simplify]: Simplify (+ 0 0) into 0
3.868 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.868 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
3.868 * [taylor]: Taking taylor expansion of (* 2 re) in re
3.868 * [taylor]: Taking taylor expansion of 2 in re
3.868 * [backup-simplify]: Simplify 2 into 2
3.868 * [taylor]: Taking taylor expansion of re in re
3.868 * [backup-simplify]: Simplify 0 into 0
3.868 * [backup-simplify]: Simplify 1 into 1
3.868 * [backup-simplify]: Simplify (* 2 0) into 0
3.868 * [backup-simplify]: Simplify 0 into 0
3.869 * [backup-simplify]: Simplify (+ 0 0) into 0
3.869 * [taylor]: Taking taylor expansion of 0 in re
3.869 * [backup-simplify]: Simplify 0 into 0
3.869 * [backup-simplify]: Simplify 0 into 0
3.870 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
3.870 * [backup-simplify]: Simplify 2 into 2
3.870 * [backup-simplify]: Simplify (* 1 1) into 1
3.871 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
3.871 * [backup-simplify]: Simplify (+ 1 0) into 1
3.872 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
3.872 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re))
3.872 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 re)) in re
3.872 * [taylor]: Taking taylor expansion of 1/2 in re
3.872 * [backup-simplify]: Simplify 1/2 into 1/2
3.872 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.872 * [taylor]: Taking taylor expansion of re in re
3.872 * [backup-simplify]: Simplify 0 into 0
3.872 * [backup-simplify]: Simplify 1 into 1
3.873 * [backup-simplify]: Simplify (/ 1 1) into 1
3.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.874 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.874 * [backup-simplify]: Simplify 0 into 0
3.875 * [backup-simplify]: Simplify 0 into 0
3.876 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
3.876 * [backup-simplify]: Simplify 0 into 0
3.877 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.878 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
3.878 * [backup-simplify]: Simplify (+ 0 0) into 0
3.878 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
3.879 * [backup-simplify]: Simplify (+ 0 0) into 0
3.879 * [taylor]: Taking taylor expansion of 0 in re
3.879 * [backup-simplify]: Simplify 0 into 0
3.879 * [backup-simplify]: Simplify 0 into 0
3.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.881 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.881 * [backup-simplify]: Simplify 0 into 0
3.881 * [backup-simplify]: Simplify 0 into 0
3.881 * [backup-simplify]: Simplify (* 2 (* re 1)) into (* 2 re)
3.882 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (sqrt (+ (pow (/ 1 im) 2) (* (/ 1 re) (/ 1 re)))))) (pow (sqrt (sqrt (sqrt (+ (pow (/ 1 im) 2) (* (/ 1 re) (/ 1 re)))))) 3)) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))
3.882 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (im re) around 0
3.882 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
3.882 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.882 * [taylor]: Taking taylor expansion of re in re
3.882 * [backup-simplify]: Simplify 0 into 0
3.882 * [backup-simplify]: Simplify 1 into 1
3.883 * [backup-simplify]: Simplify (/ 1 1) into 1
3.883 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.883 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.883 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.883 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.883 * [taylor]: Taking taylor expansion of re in re
3.883 * [backup-simplify]: Simplify 0 into 0
3.883 * [backup-simplify]: Simplify 1 into 1
3.883 * [backup-simplify]: Simplify (* 1 1) into 1
3.884 * [backup-simplify]: Simplify (/ 1 1) into 1
3.884 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.884 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.884 * [taylor]: Taking taylor expansion of im in re
3.884 * [backup-simplify]: Simplify im into im
3.884 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.884 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.884 * [backup-simplify]: Simplify (+ 1 0) into 1
3.885 * [backup-simplify]: Simplify (sqrt 1) into 1
3.885 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.887 * [backup-simplify]: Simplify (+ 0 0) into 0
3.887 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.887 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
3.887 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.887 * [taylor]: Taking taylor expansion of re in im
3.887 * [backup-simplify]: Simplify re into re
3.887 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.887 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.888 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.888 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.888 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.888 * [taylor]: Taking taylor expansion of re in im
3.888 * [backup-simplify]: Simplify re into re
3.888 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.888 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.888 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.888 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.888 * [taylor]: Taking taylor expansion of im in im
3.888 * [backup-simplify]: Simplify 0 into 0
3.888 * [backup-simplify]: Simplify 1 into 1
3.888 * [backup-simplify]: Simplify (* 1 1) into 1
3.889 * [backup-simplify]: Simplify (/ 1 1) into 1
3.889 * [backup-simplify]: Simplify (+ 0 1) into 1
3.890 * [backup-simplify]: Simplify (sqrt 1) into 1
3.890 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.891 * [backup-simplify]: Simplify (+ 0 0) into 0
3.892 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.892 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
3.892 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.892 * [taylor]: Taking taylor expansion of re in im
3.892 * [backup-simplify]: Simplify re into re
3.892 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.892 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.892 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.892 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.892 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.892 * [taylor]: Taking taylor expansion of re in im
3.892 * [backup-simplify]: Simplify re into re
3.893 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.893 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.893 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.893 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.893 * [taylor]: Taking taylor expansion of im in im
3.893 * [backup-simplify]: Simplify 0 into 0
3.893 * [backup-simplify]: Simplify 1 into 1
3.893 * [backup-simplify]: Simplify (* 1 1) into 1
3.894 * [backup-simplify]: Simplify (/ 1 1) into 1
3.894 * [backup-simplify]: Simplify (+ 0 1) into 1
3.894 * [backup-simplify]: Simplify (sqrt 1) into 1
3.895 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.895 * [backup-simplify]: Simplify (+ 0 0) into 0
3.896 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.896 * [backup-simplify]: Simplify (+ 0 1) into 1
3.896 * [taylor]: Taking taylor expansion of 1 in re
3.896 * [backup-simplify]: Simplify 1 into 1
3.896 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re)
3.896 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.896 * [taylor]: Taking taylor expansion of re in re
3.896 * [backup-simplify]: Simplify 0 into 0
3.896 * [backup-simplify]: Simplify 1 into 1
3.896 * [backup-simplify]: Simplify (/ 1 1) into 1
3.896 * [backup-simplify]: Simplify 1 into 1
3.896 * [backup-simplify]: Simplify 1 into 1
3.897 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
3.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.898 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
3.899 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
3.899 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2)))
3.899 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re
3.899 * [taylor]: Taking taylor expansion of 1/2 in re
3.899 * [backup-simplify]: Simplify 1/2 into 1/2
3.899 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.899 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.899 * [taylor]: Taking taylor expansion of re in re
3.899 * [backup-simplify]: Simplify 0 into 0
3.899 * [backup-simplify]: Simplify 1 into 1
3.899 * [backup-simplify]: Simplify (* 1 1) into 1
3.899 * [backup-simplify]: Simplify (/ 1 1) into 1
3.900 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.901 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.901 * [backup-simplify]: Simplify 0 into 0
3.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.901 * [backup-simplify]: Simplify 0 into 0
3.901 * [backup-simplify]: Simplify 0 into 0
3.901 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
3.901 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.901 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
3.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.903 * [backup-simplify]: Simplify (+ 0 0) into 0
3.903 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0
3.903 * [backup-simplify]: Simplify (+ 0 0) into 0
3.904 * [taylor]: Taking taylor expansion of 0 in re
3.904 * [backup-simplify]: Simplify 0 into 0
3.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.905 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.905 * [backup-simplify]: Simplify 0 into 0
3.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.906 * [backup-simplify]: Simplify 0 into 0
3.906 * [backup-simplify]: Simplify 0 into 0
3.906 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 im)))) (* 1 (* (/ 1 (/ 1 re)) 1))) into (+ re im)
3.907 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (sqrt (+ (pow (/ 1 (- im)) 2) (* (/ 1 (- re)) (/ 1 (- re))))))) (pow (sqrt (sqrt (sqrt (+ (pow (/ 1 (- im)) 2) (* (/ 1 (- re)) (/ 1 (- re))))))) 3)) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))
3.907 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (im re) around 0
3.907 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
3.907 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.907 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.907 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.907 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.907 * [taylor]: Taking taylor expansion of re in re
3.907 * [backup-simplify]: Simplify 0 into 0
3.907 * [backup-simplify]: Simplify 1 into 1
3.907 * [backup-simplify]: Simplify (* 1 1) into 1
3.907 * [backup-simplify]: Simplify (/ 1 1) into 1
3.907 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.907 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.907 * [taylor]: Taking taylor expansion of im in re
3.907 * [backup-simplify]: Simplify im into im
3.907 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.907 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.908 * [backup-simplify]: Simplify (+ 1 0) into 1
3.908 * [backup-simplify]: Simplify (sqrt 1) into 1
3.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.909 * [backup-simplify]: Simplify (+ 0 0) into 0
3.909 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.909 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.909 * [taylor]: Taking taylor expansion of re in re
3.909 * [backup-simplify]: Simplify 0 into 0
3.909 * [backup-simplify]: Simplify 1 into 1
3.910 * [backup-simplify]: Simplify (/ 1 1) into 1
3.910 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
3.910 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.910 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.910 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.910 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.910 * [taylor]: Taking taylor expansion of re in im
3.910 * [backup-simplify]: Simplify re into re
3.910 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.910 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.910 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.910 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.910 * [taylor]: Taking taylor expansion of im in im
3.910 * [backup-simplify]: Simplify 0 into 0
3.910 * [backup-simplify]: Simplify 1 into 1
3.910 * [backup-simplify]: Simplify (* 1 1) into 1
3.911 * [backup-simplify]: Simplify (/ 1 1) into 1
3.911 * [backup-simplify]: Simplify (+ 0 1) into 1
3.911 * [backup-simplify]: Simplify (sqrt 1) into 1
3.911 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.912 * [backup-simplify]: Simplify (+ 0 0) into 0
3.913 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.913 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.913 * [taylor]: Taking taylor expansion of re in im
3.913 * [backup-simplify]: Simplify re into re
3.913 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.913 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
3.913 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.913 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.913 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.913 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.913 * [taylor]: Taking taylor expansion of re in im
3.913 * [backup-simplify]: Simplify re into re
3.913 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.913 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.913 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.913 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.913 * [taylor]: Taking taylor expansion of im in im
3.913 * [backup-simplify]: Simplify 0 into 0
3.913 * [backup-simplify]: Simplify 1 into 1
3.913 * [backup-simplify]: Simplify (* 1 1) into 1
3.913 * [backup-simplify]: Simplify (/ 1 1) into 1
3.914 * [backup-simplify]: Simplify (+ 0 1) into 1
3.914 * [backup-simplify]: Simplify (sqrt 1) into 1
3.914 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.915 * [backup-simplify]: Simplify (+ 0 0) into 0
3.915 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.915 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.915 * [taylor]: Taking taylor expansion of re in im
3.915 * [backup-simplify]: Simplify re into re
3.916 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.916 * [backup-simplify]: Simplify (+ 1 0) into 1
3.916 * [taylor]: Taking taylor expansion of 1 in re
3.916 * [backup-simplify]: Simplify 1 into 1
3.916 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re))
3.916 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re))
3.916 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re
3.916 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.916 * [taylor]: Taking taylor expansion of re in re
3.916 * [backup-simplify]: Simplify 0 into 0
3.916 * [backup-simplify]: Simplify 1 into 1
3.916 * [backup-simplify]: Simplify (/ 1 1) into 1
3.917 * [backup-simplify]: Simplify (- 1) into -1
3.917 * [backup-simplify]: Simplify -1 into -1
3.917 * [backup-simplify]: Simplify 1 into 1
3.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.918 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
3.919 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
3.919 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
3.919 * [backup-simplify]: Simplify (- 0) into 0
3.919 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2)))
3.919 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re
3.919 * [taylor]: Taking taylor expansion of 1/2 in re
3.919 * [backup-simplify]: Simplify 1/2 into 1/2
3.919 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.919 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.919 * [taylor]: Taking taylor expansion of re in re
3.919 * [backup-simplify]: Simplify 0 into 0
3.919 * [backup-simplify]: Simplify 1 into 1
3.919 * [backup-simplify]: Simplify (* 1 1) into 1
3.920 * [backup-simplify]: Simplify (/ 1 1) into 1
3.920 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.921 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.921 * [backup-simplify]: Simplify 0 into 0
3.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.922 * [backup-simplify]: Simplify (- 0) into 0
3.922 * [backup-simplify]: Simplify 0 into 0
3.922 * [backup-simplify]: Simplify 0 into 0
3.922 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.922 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
3.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.923 * [backup-simplify]: Simplify (+ 0 0) into 0
3.924 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0
3.924 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
3.924 * [backup-simplify]: Simplify (- 0) into 0
3.924 * [backup-simplify]: Simplify (+ 0 0) into 0
3.924 * [taylor]: Taking taylor expansion of 0 in re
3.924 * [backup-simplify]: Simplify 0 into 0
3.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.927 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.927 * [backup-simplify]: Simplify 0 into 0
3.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.928 * [backup-simplify]: Simplify (- 0) into 0
3.928 * [backup-simplify]: Simplify 0 into 0
3.928 * [backup-simplify]: Simplify 0 into 0
3.928 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 (- im))))) (* -1 (* (/ 1 (/ 1 (- re))) 1))) into (- re im)
3.928 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 2)
3.929 * [backup-simplify]: Simplify (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3) into (pow (pow (+ (pow im 2) (pow re 2)) 1/8) 3)
3.929 * [approximate]: Taking taylor expansion of (pow (pow (+ (pow im 2) (pow re 2)) 1/8) 3) in (im re) around 0
3.929 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow im 2) (pow re 2)) 1/8) 3) in re
3.929 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/8) in re
3.929 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (pow im 2) (pow re 2))))) in re
3.929 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (pow im 2) (pow re 2)))) in re
3.929 * [taylor]: Taking taylor expansion of 1/8 in re
3.929 * [backup-simplify]: Simplify 1/8 into 1/8
3.929 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in re
3.929 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.929 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.929 * [taylor]: Taking taylor expansion of im in re
3.929 * [backup-simplify]: Simplify im into im
3.929 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.929 * [taylor]: Taking taylor expansion of re in re
3.929 * [backup-simplify]: Simplify 0 into 0
3.929 * [backup-simplify]: Simplify 1 into 1
3.929 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.929 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.930 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2))
3.930 * [backup-simplify]: Simplify (* 1/8 (log (pow im 2))) into (* 1/8 (log (pow im 2)))
3.930 * [backup-simplify]: Simplify (exp (* 1/8 (log (pow im 2)))) into (pow (pow im 2) 1/8)
3.930 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow im 2) (pow re 2)) 1/8) 3) in im
3.930 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/8) in im
3.930 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (pow im 2) (pow re 2))))) in im
3.930 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (pow im 2) (pow re 2)))) in im
3.930 * [taylor]: Taking taylor expansion of 1/8 in im
3.930 * [backup-simplify]: Simplify 1/8 into 1/8
3.930 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in im
3.930 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
3.930 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.930 * [taylor]: Taking taylor expansion of im in im
3.930 * [backup-simplify]: Simplify 0 into 0
3.930 * [backup-simplify]: Simplify 1 into 1
3.930 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.930 * [taylor]: Taking taylor expansion of re in im
3.930 * [backup-simplify]: Simplify re into re
3.930 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.931 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
3.931 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2))
3.931 * [backup-simplify]: Simplify (* 1/8 (log (pow re 2))) into (* 1/8 (log (pow re 2)))
3.931 * [backup-simplify]: Simplify (exp (* 1/8 (log (pow re 2)))) into (pow (pow re 2) 1/8)
3.931 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow im 2) (pow re 2)) 1/8) 3) in im
3.931 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/8) in im
3.931 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (pow im 2) (pow re 2))))) in im
3.931 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (pow im 2) (pow re 2)))) in im
3.931 * [taylor]: Taking taylor expansion of 1/8 in im
3.931 * [backup-simplify]: Simplify 1/8 into 1/8
3.931 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in im
3.931 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
3.931 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.931 * [taylor]: Taking taylor expansion of im in im
3.931 * [backup-simplify]: Simplify 0 into 0
3.931 * [backup-simplify]: Simplify 1 into 1
3.931 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.931 * [taylor]: Taking taylor expansion of re in im
3.931 * [backup-simplify]: Simplify re into re
3.931 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.932 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
3.932 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2))
3.932 * [backup-simplify]: Simplify (* 1/8 (log (pow re 2))) into (* 1/8 (log (pow re 2)))
3.932 * [backup-simplify]: Simplify (exp (* 1/8 (log (pow re 2)))) into (pow (pow re 2) 1/8)
3.932 * [backup-simplify]: Simplify (* (pow (pow re 2) 1/8) (pow (pow re 2) 1/8)) into (sqrt re)
3.933 * [backup-simplify]: Simplify (* (pow (pow re 2) 1/8) (sqrt re)) into (pow (pow re 3) 1/4)
3.933 * [taylor]: Taking taylor expansion of (pow (pow re 3) 1/4) in re
3.933 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow re 3)))) in re
3.933 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow re 3))) in re
3.933 * [taylor]: Taking taylor expansion of 1/4 in re
3.933 * [backup-simplify]: Simplify 1/4 into 1/4
3.933 * [taylor]: Taking taylor expansion of (log (pow re 3)) in re
3.933 * [taylor]: Taking taylor expansion of (pow re 3) in re
3.933 * [taylor]: Taking taylor expansion of re in re
3.933 * [backup-simplify]: Simplify 0 into 0
3.933 * [backup-simplify]: Simplify 1 into 1
3.933 * [backup-simplify]: Simplify (* 1 1) into 1
3.934 * [backup-simplify]: Simplify (* 1 1) into 1
3.934 * [backup-simplify]: Simplify (log 1) into 0
3.935 * [backup-simplify]: Simplify (+ (* (- -3) (log re)) 0) into (* 3 (log re))
3.935 * [backup-simplify]: Simplify (* 1/4 (* 3 (log re))) into (* 3/4 (log re))
3.935 * [backup-simplify]: Simplify (exp (* 3/4 (log re))) into (pow re 3/4)
3.935 * [backup-simplify]: Simplify (pow re 3/4) into (pow re 3/4)
3.935 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.936 * [backup-simplify]: Simplify (+ 0 0) into 0
3.937 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow re 2) 1)))) 1) into 0
3.937 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (log (pow re 2)))) into 0
3.938 * [backup-simplify]: Simplify (* (exp (* 1/8 (log (pow re 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
3.939 * [backup-simplify]: Simplify (+ (* (pow (pow re 2) 1/8) 0) (* 0 (pow (pow re 2) 1/8))) into 0
3.939 * [backup-simplify]: Simplify (+ (* (pow (pow re 2) 1/8) 0) (* 0 (sqrt re))) into 0
3.939 * [taylor]: Taking taylor expansion of 0 in re
3.939 * [backup-simplify]: Simplify 0 into 0
3.939 * [backup-simplify]: Simplify 0 into 0
3.940 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.940 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.942 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
3.942 * [backup-simplify]: Simplify (+ (* (- -3) (log re)) 0) into (* 3 (log re))
3.943 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (* 3 (log re)))) into 0
3.944 * [backup-simplify]: Simplify (* (exp (* 3/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
3.944 * [backup-simplify]: Simplify 0 into 0
3.944 * [backup-simplify]: Simplify (* 1 1) into 1
3.945 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
3.945 * [backup-simplify]: Simplify (+ 1 0) into 1
3.949 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow re 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow re 2) 1)))) 2) into (/ 1 (pow re 2))
3.950 * [backup-simplify]: Simplify (+ (* 1/8 (/ 1 (pow re 2))) (+ (* 0 0) (* 0 (log (pow re 2))))) into (* 1/8 (/ 1 (pow re 2)))
3.951 * [backup-simplify]: Simplify (* (exp (* 1/8 (log (pow re 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/8 (/ 1 (pow re 2))) 1) 1)))) into (* 1/8 (pow (/ 1 (pow re 7)) 1/4))
3.953 * [backup-simplify]: Simplify (+ (* (pow (pow re 2) 1/8) (* 1/8 (pow (/ 1 (pow re 7)) 1/4))) (+ (* 0 0) (* (* 1/8 (pow (/ 1 (pow re 7)) 1/4)) (pow (pow re 2) 1/8)))) into (* 1/4 (sqrt (/ 1 (pow re 3))))
3.954 * [backup-simplify]: Simplify (+ (* (pow (pow re 2) 1/8) (* 1/4 (sqrt (/ 1 (pow re 3))))) (+ (* 0 0) (* (* 1/8 (pow (/ 1 (pow re 7)) 1/4)) (sqrt re)))) into (* 3/8 (pow (/ 1 (pow re 5)) 1/4))
3.954 * [taylor]: Taking taylor expansion of (* 3/8 (pow (/ 1 (pow re 5)) 1/4)) in re
3.954 * [taylor]: Taking taylor expansion of 3/8 in re
3.954 * [backup-simplify]: Simplify 3/8 into 3/8
3.954 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 5)) 1/4) in re
3.954 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 5))))) in re
3.954 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 5)))) in re
3.954 * [taylor]: Taking taylor expansion of 1/4 in re
3.954 * [backup-simplify]: Simplify 1/4 into 1/4
3.954 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 5))) in re
3.954 * [taylor]: Taking taylor expansion of (/ 1 (pow re 5)) in re
3.954 * [taylor]: Taking taylor expansion of (pow re 5) in re
3.954 * [taylor]: Taking taylor expansion of re in re
3.954 * [backup-simplify]: Simplify 0 into 0
3.954 * [backup-simplify]: Simplify 1 into 1
3.954 * [backup-simplify]: Simplify (* 1 1) into 1
3.954 * [backup-simplify]: Simplify (* 1 1) into 1
3.955 * [backup-simplify]: Simplify (* 1 1) into 1
3.955 * [backup-simplify]: Simplify (/ 1 1) into 1
3.955 * [backup-simplify]: Simplify (log 1) into 0
3.956 * [backup-simplify]: Simplify (+ (* (- 5) (log re)) 0) into (- (* 5 (log re)))
3.956 * [backup-simplify]: Simplify (* 1/4 (- (* 5 (log re)))) into (* -5/4 (log re))
3.956 * [backup-simplify]: Simplify (exp (* -5/4 (log re))) into (pow re -5/4)
3.956 * [backup-simplify]: Simplify (* 3/8 (pow re -5/4)) into (* 3/8 (pow (/ 1 (pow re 5)) 1/4))
3.956 * [backup-simplify]: Simplify (* 3/8 (pow (/ 1 (pow re 5)) 1/4)) into (* 3/8 (pow (/ 1 (pow re 5)) 1/4))
3.956 * [backup-simplify]: Simplify 0 into 0
3.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.959 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
3.959 * [backup-simplify]: Simplify (+ (* (- -3) (log re)) 0) into (* 3 (log re))
3.959 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (* 3 (log re))))) into 0
3.960 * [backup-simplify]: Simplify (* (exp (* 3/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.960 * [backup-simplify]: Simplify 0 into 0
3.961 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.961 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
3.962 * [backup-simplify]: Simplify (+ 0 0) into 0
3.963 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow re 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow re 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow re 2) 1)))) 6) into 0
3.964 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 (/ 1 (pow re 2))) (+ (* 0 0) (* 0 (log (pow re 2)))))) into 0
3.965 * [backup-simplify]: Simplify (* (exp (* 1/8 (log (pow re 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/8 (/ 1 (pow re 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
3.966 * [backup-simplify]: Simplify (+ (* (pow (pow re 2) 1/8) 0) (+ (* 0 (* 1/8 (pow (/ 1 (pow re 7)) 1/4))) (+ (* (* 1/8 (pow (/ 1 (pow re 7)) 1/4)) 0) (* 0 (pow (pow re 2) 1/8))))) into 0
3.966 * [backup-simplify]: Simplify (+ (* (pow (pow re 2) 1/8) 0) (+ (* 0 (* 1/4 (sqrt (/ 1 (pow re 3))))) (+ (* (* 1/8 (pow (/ 1 (pow re 7)) 1/4)) 0) (* 0 (sqrt re))))) into 0
3.966 * [taylor]: Taking taylor expansion of 0 in re
3.966 * [backup-simplify]: Simplify 0 into 0
3.966 * [backup-simplify]: Simplify 0 into 0
3.967 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.967 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.968 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.969 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
3.969 * [backup-simplify]: Simplify (+ (* (- 5) (log re)) 0) into (- (* 5 (log re)))
3.970 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 5 (log re))))) into 0
3.970 * [backup-simplify]: Simplify (* (exp (* -5/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
3.970 * [backup-simplify]: Simplify (+ (* 3/8 0) (* 0 (pow re -5/4))) into 0
3.970 * [backup-simplify]: Simplify 0 into 0
3.970 * [backup-simplify]: Simplify 0 into 0
3.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.974 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
3.975 * [backup-simplify]: Simplify (+ (* (- -3) (log re)) 0) into (* 3 (log re))
3.976 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 3 (log re)))))) into 0
3.977 * [backup-simplify]: Simplify (* (exp (* 3/4 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
3.977 * [backup-simplify]: Simplify 0 into 0
3.977 * [backup-simplify]: Simplify (+ (* (* 3/8 (pow (/ 1 (pow re 5)) 1/4)) (pow (* 1 im) 2)) (pow re 3/4)) into (+ (pow re 3/4) (* 3/8 (* (pow (/ 1 (pow re 5)) 1/4) (pow im 2))))
3.977 * [backup-simplify]: Simplify (pow (sqrt (sqrt (sqrt (+ (pow (/ 1 im) 2) (* (/ 1 re) (/ 1 re)))))) 3) into (pow (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/8) 3)
3.977 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/8) 3) in (im re) around 0
3.977 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/8) 3) in re
3.977 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/8) in re
3.977 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
3.977 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
3.977 * [taylor]: Taking taylor expansion of 1/8 in re
3.978 * [backup-simplify]: Simplify 1/8 into 1/8
3.978 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.978 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.978 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.978 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.978 * [taylor]: Taking taylor expansion of re in re
3.978 * [backup-simplify]: Simplify 0 into 0
3.978 * [backup-simplify]: Simplify 1 into 1
3.978 * [backup-simplify]: Simplify (* 1 1) into 1
3.978 * [backup-simplify]: Simplify (/ 1 1) into 1
3.978 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.978 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.978 * [taylor]: Taking taylor expansion of im in re
3.978 * [backup-simplify]: Simplify im into im
3.978 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.979 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.979 * [backup-simplify]: Simplify (+ 1 0) into 1
3.979 * [backup-simplify]: Simplify (log 1) into 0
3.979 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
3.979 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log re)))) into (* -1/4 (log re))
3.980 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
3.980 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/8) 3) in im
3.980 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/8) in im
3.980 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
3.980 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
3.980 * [taylor]: Taking taylor expansion of 1/8 in im
3.980 * [backup-simplify]: Simplify 1/8 into 1/8
3.980 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.980 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.980 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.980 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.980 * [taylor]: Taking taylor expansion of re in im
3.980 * [backup-simplify]: Simplify re into re
3.980 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.980 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.980 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.980 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.980 * [taylor]: Taking taylor expansion of im in im
3.980 * [backup-simplify]: Simplify 0 into 0
3.980 * [backup-simplify]: Simplify 1 into 1
3.980 * [backup-simplify]: Simplify (* 1 1) into 1
3.980 * [backup-simplify]: Simplify (/ 1 1) into 1
3.981 * [backup-simplify]: Simplify (+ 0 1) into 1
3.981 * [backup-simplify]: Simplify (log 1) into 0
3.981 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
3.981 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log im)))) into (* -1/4 (log im))
3.981 * [backup-simplify]: Simplify (exp (* -1/4 (log im))) into (pow im -1/4)
3.981 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/8) 3) in im
3.981 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/8) in im
3.981 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
3.981 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
3.981 * [taylor]: Taking taylor expansion of 1/8 in im
3.981 * [backup-simplify]: Simplify 1/8 into 1/8
3.981 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.981 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.982 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.982 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.982 * [taylor]: Taking taylor expansion of re in im
3.982 * [backup-simplify]: Simplify re into re
3.982 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.982 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.982 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.982 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.982 * [taylor]: Taking taylor expansion of im in im
3.982 * [backup-simplify]: Simplify 0 into 0
3.982 * [backup-simplify]: Simplify 1 into 1
3.982 * [backup-simplify]: Simplify (* 1 1) into 1
3.982 * [backup-simplify]: Simplify (/ 1 1) into 1
3.983 * [backup-simplify]: Simplify (+ 0 1) into 1
3.983 * [backup-simplify]: Simplify (log 1) into 0
3.983 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
3.983 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log im)))) into (* -1/4 (log im))
3.983 * [backup-simplify]: Simplify (exp (* -1/4 (log im))) into (pow im -1/4)
3.983 * [backup-simplify]: Simplify (* (pow im -1/4) (pow im -1/4)) into (sqrt (/ 1 im))
3.983 * [backup-simplify]: Simplify (* (pow im -1/4) (sqrt (/ 1 im))) into (pow (/ 1 (pow im 3)) 1/4)
3.983 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 3)) 1/4) in re
3.984 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow im 3))))) in re
3.984 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow im 3)))) in re
3.984 * [taylor]: Taking taylor expansion of 1/4 in re
3.984 * [backup-simplify]: Simplify 1/4 into 1/4
3.984 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 3))) in re
3.984 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in re
3.984 * [taylor]: Taking taylor expansion of (pow im 3) in re
3.984 * [taylor]: Taking taylor expansion of im in re
3.984 * [backup-simplify]: Simplify im into im
3.984 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.984 * [backup-simplify]: Simplify (* im (pow im 2)) into (pow im 3)
3.984 * [backup-simplify]: Simplify (/ 1 (pow im 3)) into (/ 1 (pow im 3))
3.984 * [backup-simplify]: Simplify (log (/ 1 (pow im 3))) into (log (/ 1 (pow im 3)))
3.984 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow im 3)))) into (* 1/4 (log (/ 1 (pow im 3))))
3.984 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow im 3))))) into (pow (/ 1 (pow im 3)) 1/4)
3.984 * [backup-simplify]: Simplify (pow (/ 1 (pow im 3)) 1/4) into (pow (/ 1 (pow im 3)) 1/4)
3.985 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.985 * [backup-simplify]: Simplify (+ 0 0) into 0
3.986 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
3.987 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
3.987 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (- (* 2 (log im))))) into 0
3.988 * [backup-simplify]: Simplify (* (exp (* -1/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
3.989 * [backup-simplify]: Simplify (+ (* (pow im -1/4) 0) (* 0 (pow im -1/4))) into 0
3.989 * [backup-simplify]: Simplify (+ (* (pow im -1/4) 0) (* 0 (sqrt (/ 1 im)))) into 0
3.989 * [taylor]: Taking taylor expansion of 0 in re
3.989 * [backup-simplify]: Simplify 0 into 0
3.989 * [backup-simplify]: Simplify 0 into 0
3.989 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.989 * [backup-simplify]: Simplify (+ (* im 0) (* 0 (pow im 2))) into 0
3.990 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 3)) (/ 0 (pow im 3))))) into 0
3.991 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow im 3)) 1)))) 1) into 0
3.991 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow im 3))))) into 0
3.992 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow im 3))))) (+ (* (/ (pow 0 1) 1)))) into 0
3.992 * [backup-simplify]: Simplify 0 into 0
3.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.995 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
3.997 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow re 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow re 2))
3.997 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
3.998 * [backup-simplify]: Simplify (+ (* 1/8 (/ 1 (pow re 2))) (+ (* 0 0) (* 0 (- (* 2 (log im)))))) into (* 1/8 (/ 1 (pow re 2)))
3.999 * [backup-simplify]: Simplify (* (exp (* -1/4 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/8 (/ 1 (pow re 2))) 1) 1)))) into (* 1/8 (* (/ 1 (pow re 2)) (pow (/ 1 im) 1/4)))
4.001 * [backup-simplify]: Simplify (+ (* (pow im -1/4) (* 1/8 (* (/ 1 (pow re 2)) (pow (/ 1 im) 1/4)))) (+ (* 0 0) (* (* 1/8 (* (/ 1 (pow re 2)) (pow (/ 1 im) 1/4))) (pow im -1/4)))) into (* 1/4 (* (/ 1 (pow re 2)) (sqrt (/ 1 im))))
4.002 * [backup-simplify]: Simplify (+ (* (pow im -1/4) (* 1/4 (* (/ 1 (pow re 2)) (sqrt (/ 1 im))))) (+ (* 0 0) (* (* 1/8 (* (/ 1 (pow re 2)) (pow (/ 1 im) 1/4))) (sqrt (/ 1 im))))) into (* 3/8 (* (/ 1 (pow re 2)) (pow (/ 1 (pow im 3)) 1/4)))
4.002 * [taylor]: Taking taylor expansion of (* 3/8 (* (/ 1 (pow re 2)) (pow (/ 1 (pow im 3)) 1/4))) in re
4.002 * [taylor]: Taking taylor expansion of 3/8 in re
4.002 * [backup-simplify]: Simplify 3/8 into 3/8
4.002 * [taylor]: Taking taylor expansion of (* (/ 1 (pow re 2)) (pow (/ 1 (pow im 3)) 1/4)) in re
4.002 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.002 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.002 * [taylor]: Taking taylor expansion of re in re
4.002 * [backup-simplify]: Simplify 0 into 0
4.002 * [backup-simplify]: Simplify 1 into 1
4.003 * [backup-simplify]: Simplify (* 1 1) into 1
4.003 * [backup-simplify]: Simplify (/ 1 1) into 1
4.003 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 3)) 1/4) in re
4.003 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow im 3))))) in re
4.003 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow im 3)))) in re
4.003 * [taylor]: Taking taylor expansion of 1/4 in re
4.003 * [backup-simplify]: Simplify 1/4 into 1/4
4.003 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 3))) in re
4.003 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in re
4.003 * [taylor]: Taking taylor expansion of (pow im 3) in re
4.003 * [taylor]: Taking taylor expansion of im in re
4.003 * [backup-simplify]: Simplify im into im
4.003 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.004 * [backup-simplify]: Simplify (* im (pow im 2)) into (pow im 3)
4.004 * [backup-simplify]: Simplify (/ 1 (pow im 3)) into (/ 1 (pow im 3))
4.004 * [backup-simplify]: Simplify (log (/ 1 (pow im 3))) into (log (/ 1 (pow im 3)))
4.004 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow im 3)))) into (* 1/4 (log (/ 1 (pow im 3))))
4.004 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow im 3))))) into (pow (/ 1 (pow im 3)) 1/4)
4.004 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.005 * [backup-simplify]: Simplify (+ (* im 0) (* 0 (pow im 2))) into 0
4.005 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 3)) (/ 0 (pow im 3))))) into 0
4.006 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow im 3)) 1)))) 1) into 0
4.006 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow im 3))))) into 0
4.007 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.007 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 (pow im 2)))) into 0
4.007 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 3)) (/ 0 (pow im 3))) (* 0 (/ 0 (pow im 3))))) into 0
4.008 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow im 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow im 3)) 1)))) 2) into 0
4.009 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow im 3)))))) into 0
4.010 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow im 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.010 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.011 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow im 3))))) (+ (* (/ (pow 0 1) 1)))) into 0
4.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow im 3)) 1/4)))) into 0
4.014 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (/ 1 (pow im 3)) 1/4))) into 0
4.014 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (pow im 3)) 1/4)) into (pow (/ 1 (pow im 3)) 1/4)
4.014 * [backup-simplify]: Simplify (+ (* 3/8 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow im 3)) 1/4)))) into 0
4.014 * [backup-simplify]: Simplify 0 into 0
4.014 * [backup-simplify]: Simplify 0 into 0
4.015 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.015 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 (pow im 2)))) into 0
4.015 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 3)) (/ 0 (pow im 3))) (* 0 (/ 0 (pow im 3))))) into 0
4.016 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow im 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow im 3)) 1)))) 2) into 0
4.017 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow im 3)))))) into 0
4.018 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow im 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.018 * [backup-simplify]: Simplify 0 into 0
4.018 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.018 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
4.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.020 * [backup-simplify]: Simplify (+ 0 0) into 0
4.022 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow re 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
4.022 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
4.023 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 (/ 1 (pow re 2))) (+ (* 0 0) (* 0 (- (* 2 (log im))))))) into 0
4.024 * [backup-simplify]: Simplify (* (exp (* -1/4 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/8 (/ 1 (pow re 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.025 * [backup-simplify]: Simplify (+ (* (pow im -1/4) 0) (+ (* 0 (* 1/8 (* (/ 1 (pow re 2)) (pow (/ 1 im) 1/4)))) (+ (* (* 1/8 (* (/ 1 (pow re 2)) (pow (/ 1 im) 1/4))) 0) (* 0 (pow im -1/4))))) into 0
4.025 * [backup-simplify]: Simplify (+ (* (pow im -1/4) 0) (+ (* 0 (* 1/4 (* (/ 1 (pow re 2)) (sqrt (/ 1 im))))) (+ (* (* 1/8 (* (/ 1 (pow re 2)) (pow (/ 1 im) 1/4))) 0) (* 0 (sqrt (/ 1 im)))))) into 0
4.025 * [taylor]: Taking taylor expansion of 0 in re
4.025 * [backup-simplify]: Simplify 0 into 0
4.025 * [backup-simplify]: Simplify 0 into 0
4.025 * [backup-simplify]: Simplify (pow (/ 1 (pow (/ 1 im) 3)) 1/4) into (pow (pow im 3) 1/4)
4.026 * [backup-simplify]: Simplify (pow (sqrt (sqrt (sqrt (+ (pow (/ 1 (- im)) 2) (* (/ 1 (- re)) (/ 1 (- re))))))) 3) into (pow (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/8) 3)
4.026 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/8) 3) in (im re) around 0
4.026 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/8) 3) in re
4.026 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/8) in re
4.026 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
4.026 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
4.026 * [taylor]: Taking taylor expansion of 1/8 in re
4.026 * [backup-simplify]: Simplify 1/8 into 1/8
4.026 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
4.026 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
4.026 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.026 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.026 * [taylor]: Taking taylor expansion of re in re
4.026 * [backup-simplify]: Simplify 0 into 0
4.026 * [backup-simplify]: Simplify 1 into 1
4.026 * [backup-simplify]: Simplify (* 1 1) into 1
4.026 * [backup-simplify]: Simplify (/ 1 1) into 1
4.026 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
4.026 * [taylor]: Taking taylor expansion of (pow im 2) in re
4.026 * [taylor]: Taking taylor expansion of im in re
4.026 * [backup-simplify]: Simplify im into im
4.026 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.027 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
4.027 * [backup-simplify]: Simplify (+ 1 0) into 1
4.027 * [backup-simplify]: Simplify (log 1) into 0
4.027 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
4.027 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log re)))) into (* -1/4 (log re))
4.028 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4)
4.028 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/8) 3) in im
4.028 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/8) in im
4.028 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
4.028 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
4.028 * [taylor]: Taking taylor expansion of 1/8 in im
4.028 * [backup-simplify]: Simplify 1/8 into 1/8
4.028 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
4.028 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
4.028 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.028 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.028 * [taylor]: Taking taylor expansion of re in im
4.028 * [backup-simplify]: Simplify re into re
4.028 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.028 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.028 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.028 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.028 * [taylor]: Taking taylor expansion of im in im
4.028 * [backup-simplify]: Simplify 0 into 0
4.028 * [backup-simplify]: Simplify 1 into 1
4.028 * [backup-simplify]: Simplify (* 1 1) into 1
4.028 * [backup-simplify]: Simplify (/ 1 1) into 1
4.029 * [backup-simplify]: Simplify (+ 0 1) into 1
4.029 * [backup-simplify]: Simplify (log 1) into 0
4.029 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
4.029 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log im)))) into (* -1/4 (log im))
4.029 * [backup-simplify]: Simplify (exp (* -1/4 (log im))) into (pow im -1/4)
4.029 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/8) 3) in im
4.029 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/8) in im
4.029 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
4.029 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
4.029 * [taylor]: Taking taylor expansion of 1/8 in im
4.029 * [backup-simplify]: Simplify 1/8 into 1/8
4.029 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
4.030 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
4.030 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
4.030 * [taylor]: Taking taylor expansion of (pow re 2) in im
4.030 * [taylor]: Taking taylor expansion of re in im
4.030 * [backup-simplify]: Simplify re into re
4.030 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.030 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
4.030 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
4.030 * [taylor]: Taking taylor expansion of (pow im 2) in im
4.030 * [taylor]: Taking taylor expansion of im in im
4.030 * [backup-simplify]: Simplify 0 into 0
4.030 * [backup-simplify]: Simplify 1 into 1
4.030 * [backup-simplify]: Simplify (* 1 1) into 1
4.030 * [backup-simplify]: Simplify (/ 1 1) into 1
4.031 * [backup-simplify]: Simplify (+ 0 1) into 1
4.031 * [backup-simplify]: Simplify (log 1) into 0
4.031 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
4.031 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log im)))) into (* -1/4 (log im))
4.031 * [backup-simplify]: Simplify (exp (* -1/4 (log im))) into (pow im -1/4)
4.031 * [backup-simplify]: Simplify (* (pow im -1/4) (pow im -1/4)) into (sqrt (/ 1 im))
4.031 * [backup-simplify]: Simplify (* (pow im -1/4) (sqrt (/ 1 im))) into (pow (/ 1 (pow im 3)) 1/4)
4.031 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 3)) 1/4) in re
4.032 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow im 3))))) in re
4.032 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow im 3)))) in re
4.032 * [taylor]: Taking taylor expansion of 1/4 in re
4.032 * [backup-simplify]: Simplify 1/4 into 1/4
4.032 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 3))) in re
4.032 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in re
4.032 * [taylor]: Taking taylor expansion of (pow im 3) in re
4.032 * [taylor]: Taking taylor expansion of im in re
4.032 * [backup-simplify]: Simplify im into im
4.032 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.032 * [backup-simplify]: Simplify (* im (pow im 2)) into (pow im 3)
4.032 * [backup-simplify]: Simplify (/ 1 (pow im 3)) into (/ 1 (pow im 3))
4.032 * [backup-simplify]: Simplify (log (/ 1 (pow im 3))) into (log (/ 1 (pow im 3)))
4.032 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow im 3)))) into (* 1/4 (log (/ 1 (pow im 3))))
4.032 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow im 3))))) into (pow (/ 1 (pow im 3)) 1/4)
4.032 * [backup-simplify]: Simplify (pow (/ 1 (pow im 3)) 1/4) into (pow (/ 1 (pow im 3)) 1/4)
4.033 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.033 * [backup-simplify]: Simplify (+ 0 0) into 0
4.034 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
4.034 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
4.035 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (- (* 2 (log im))))) into 0
4.035 * [backup-simplify]: Simplify (* (exp (* -1/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
4.036 * [backup-simplify]: Simplify (+ (* (pow im -1/4) 0) (* 0 (pow im -1/4))) into 0
4.036 * [backup-simplify]: Simplify (+ (* (pow im -1/4) 0) (* 0 (sqrt (/ 1 im)))) into 0
4.036 * [taylor]: Taking taylor expansion of 0 in re
4.036 * [backup-simplify]: Simplify 0 into 0
4.036 * [backup-simplify]: Simplify 0 into 0
4.036 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.036 * [backup-simplify]: Simplify (+ (* im 0) (* 0 (pow im 2))) into 0
4.036 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 3)) (/ 0 (pow im 3))))) into 0
4.037 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow im 3)) 1)))) 1) into 0
4.037 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow im 3))))) into 0
4.038 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow im 3))))) (+ (* (/ (pow 0 1) 1)))) into 0
4.038 * [backup-simplify]: Simplify 0 into 0
4.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.039 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
4.040 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow re 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow re 2))
4.040 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
4.041 * [backup-simplify]: Simplify (+ (* 1/8 (/ 1 (pow re 2))) (+ (* 0 0) (* 0 (- (* 2 (log im)))))) into (* 1/8 (/ 1 (pow re 2)))
4.041 * [backup-simplify]: Simplify (* (exp (* -1/4 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/8 (/ 1 (pow re 2))) 1) 1)))) into (* 1/8 (* (/ 1 (pow re 2)) (pow (/ 1 im) 1/4)))
4.042 * [backup-simplify]: Simplify (+ (* (pow im -1/4) (* 1/8 (* (/ 1 (pow re 2)) (pow (/ 1 im) 1/4)))) (+ (* 0 0) (* (* 1/8 (* (/ 1 (pow re 2)) (pow (/ 1 im) 1/4))) (pow im -1/4)))) into (* 1/4 (* (/ 1 (pow re 2)) (sqrt (/ 1 im))))
4.043 * [backup-simplify]: Simplify (+ (* (pow im -1/4) (* 1/4 (* (/ 1 (pow re 2)) (sqrt (/ 1 im))))) (+ (* 0 0) (* (* 1/8 (* (/ 1 (pow re 2)) (pow (/ 1 im) 1/4))) (sqrt (/ 1 im))))) into (* 3/8 (* (/ 1 (pow re 2)) (pow (/ 1 (pow im 3)) 1/4)))
4.043 * [taylor]: Taking taylor expansion of (* 3/8 (* (/ 1 (pow re 2)) (pow (/ 1 (pow im 3)) 1/4))) in re
4.043 * [taylor]: Taking taylor expansion of 3/8 in re
4.043 * [backup-simplify]: Simplify 3/8 into 3/8
4.043 * [taylor]: Taking taylor expansion of (* (/ 1 (pow re 2)) (pow (/ 1 (pow im 3)) 1/4)) in re
4.043 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
4.043 * [taylor]: Taking taylor expansion of (pow re 2) in re
4.043 * [taylor]: Taking taylor expansion of re in re
4.043 * [backup-simplify]: Simplify 0 into 0
4.043 * [backup-simplify]: Simplify 1 into 1
4.044 * [backup-simplify]: Simplify (* 1 1) into 1
4.044 * [backup-simplify]: Simplify (/ 1 1) into 1
4.044 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 3)) 1/4) in re
4.044 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow im 3))))) in re
4.044 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow im 3)))) in re
4.044 * [taylor]: Taking taylor expansion of 1/4 in re
4.044 * [backup-simplify]: Simplify 1/4 into 1/4
4.044 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 3))) in re
4.044 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in re
4.044 * [taylor]: Taking taylor expansion of (pow im 3) in re
4.044 * [taylor]: Taking taylor expansion of im in re
4.044 * [backup-simplify]: Simplify im into im
4.044 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.044 * [backup-simplify]: Simplify (* im (pow im 2)) into (pow im 3)
4.044 * [backup-simplify]: Simplify (/ 1 (pow im 3)) into (/ 1 (pow im 3))
4.044 * [backup-simplify]: Simplify (log (/ 1 (pow im 3))) into (log (/ 1 (pow im 3)))
4.044 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow im 3)))) into (* 1/4 (log (/ 1 (pow im 3))))
4.045 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow im 3))))) into (pow (/ 1 (pow im 3)) 1/4)
4.045 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.045 * [backup-simplify]: Simplify (+ (* im 0) (* 0 (pow im 2))) into 0
4.045 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 3)) (/ 0 (pow im 3))))) into 0
4.045 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow im 3)) 1)))) 1) into 0
4.046 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow im 3))))) into 0
4.046 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.047 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 (pow im 2)))) into 0
4.047 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 3)) (/ 0 (pow im 3))) (* 0 (/ 0 (pow im 3))))) into 0
4.048 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow im 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow im 3)) 1)))) 2) into 0
4.049 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow im 3)))))) into 0
4.049 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow im 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.050 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.051 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow im 3))))) (+ (* (/ (pow 0 1) 1)))) into 0
4.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow im 3)) 1/4)))) into 0
4.053 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (/ 1 (pow im 3)) 1/4))) into 0
4.053 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (pow im 3)) 1/4)) into (pow (/ 1 (pow im 3)) 1/4)
4.056 * [backup-simplify]: Simplify (+ (* 3/8 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow im 3)) 1/4)))) into 0
4.056 * [backup-simplify]: Simplify 0 into 0
4.056 * [backup-simplify]: Simplify 0 into 0
4.057 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.058 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 (pow im 2)))) into 0
4.058 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 3)) (/ 0 (pow im 3))) (* 0 (/ 0 (pow im 3))))) into 0
4.060 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow im 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow im 3)) 1)))) 2) into 0
4.061 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow im 3)))))) into 0
4.063 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow im 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.063 * [backup-simplify]: Simplify 0 into 0
4.063 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.063 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
4.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.065 * [backup-simplify]: Simplify (+ 0 0) into 0
4.069 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow re 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
4.070 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
4.071 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 (/ 1 (pow re 2))) (+ (* 0 0) (* 0 (- (* 2 (log im))))))) into 0
4.073 * [backup-simplify]: Simplify (* (exp (* -1/4 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/8 (/ 1 (pow re 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.074 * [backup-simplify]: Simplify (+ (* (pow im -1/4) 0) (+ (* 0 (* 1/8 (* (/ 1 (pow re 2)) (pow (/ 1 im) 1/4)))) (+ (* (* 1/8 (* (/ 1 (pow re 2)) (pow (/ 1 im) 1/4))) 0) (* 0 (pow im -1/4))))) into 0
4.075 * [backup-simplify]: Simplify (+ (* (pow im -1/4) 0) (+ (* 0 (* 1/4 (* (/ 1 (pow re 2)) (sqrt (/ 1 im))))) (+ (* (* 1/8 (* (/ 1 (pow re 2)) (pow (/ 1 im) 1/4))) 0) (* 0 (sqrt (/ 1 im)))))) into 0
4.075 * [taylor]: Taking taylor expansion of 0 in re
4.075 * [backup-simplify]: Simplify 0 into 0
4.075 * [backup-simplify]: Simplify 0 into 0
4.075 * [backup-simplify]: Simplify (pow (/ 1 (pow (/ 1 (- im)) 3)) 1/4) into (pow (* -1 (pow im 3)) 1/4)
4.076 * * * [progress]: simplifying candidates
4.079 * [simplify]: Simplifying:
  (log (sqrt (+ (pow im 2) (* re re))))
  (exp (sqrt (+ (pow im 2) (* re re))))
  (* (cbrt (sqrt (+ (pow im 2) (* re re)))) (cbrt (sqrt (+ (pow im 2) (* re re)))))
  (cbrt (sqrt (+ (pow im 2) (* re re))))
  (* (* (sqrt (+ (pow im 2) (* re re))) (sqrt (+ (pow im 2) (* re re)))) (sqrt (+ (pow im 2) (* re re))))
  (sqrt (* (cbrt (+ (pow im 2) (* re re))) (cbrt (+ (pow im 2) (* re re)))))
  (sqrt (cbrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt 1)
  (sqrt (+ (pow im 2) (* re re)))
  (sqrt (+ (pow (pow im 2) 3) (pow (* re re) 3)))
  (sqrt (+ (* (pow im 2) (pow im 2)) (- (* (* re re) (* re re)) (* (pow im 2) (* re re)))))
  (sqrt (- (* (pow im 2) (pow im 2)) (* (* re re) (* re re))))
  (sqrt (- (pow im 2) (* re re)))
  (/ 1 2)
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (log (sqrt (+ (pow im 2) (* re re))))
  (exp (sqrt (+ (pow im 2) (* re re))))
  (* (cbrt (sqrt (+ (pow im 2) (* re re)))) (cbrt (sqrt (+ (pow im 2) (* re re)))))
  (cbrt (sqrt (+ (pow im 2) (* re re))))
  (* (* (sqrt (+ (pow im 2) (* re re))) (sqrt (+ (pow im 2) (* re re)))) (sqrt (+ (pow im 2) (* re re))))
  (sqrt (* (cbrt (+ (pow im 2) (* re re))) (cbrt (+ (pow im 2) (* re re)))))
  (sqrt (cbrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt 1)
  (sqrt (+ (pow im 2) (* re re)))
  (sqrt (+ (pow (pow im 2) 3) (pow (* re re) 3)))
  (sqrt (+ (* (pow im 2) (pow im 2)) (- (* (* re re) (* re re)) (* (pow im 2) (* re re)))))
  (sqrt (- (* (pow im 2) (pow im 2)) (* (* re re) (* re re))))
  (sqrt (- (pow im 2) (* re re)))
  (/ 1 2)
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (* (exp (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3))) (exp re))
  (log (+ (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)) re))
  (exp (+ (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)) re))
  (* (cbrt (+ (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)) re)) (cbrt (+ (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)) re)))
  (cbrt (+ (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)) re))
  (* (* (+ (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)) re) (+ (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)) re)) (+ (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)) re))
  (sqrt (+ (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)) re))
  (sqrt (+ (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)) re))
  (+ (pow (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)) 3) (pow re 3))
  (+ (* (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)) (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3))) (- (* re re) (* (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)) re)))
  (- (* (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)) (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3))) (* re re))
  (- (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)) re)
  (* (log (sqrt (sqrt (sqrt (+ (pow im 2) (* re re)))))) 3)
  (* (log (sqrt (sqrt (sqrt (+ (pow im 2) (* re re)))))) 3)
  (* 1/2 3)
  (* 1 3)
  (* (/ 1/2 2) 3)
  (* (/ 1 2) 3)
  (* (/ (/ 1/2 2) 2) 3)
  (* (/ (/ 1 2) 2) 3)
  (* (/ (/ (/ 1 2) 2) 2) 3)
  (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (* (cbrt 3) (cbrt 3)))
  (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (sqrt 3))
  (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 1)
  (pow (* (cbrt (sqrt (sqrt (sqrt (+ (pow im 2) (* re re)))))) (cbrt (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))))) 3)
  (pow (cbrt (sqrt (sqrt (sqrt (+ (pow im 2) (* re re)))))) 3)
  (pow (sqrt (* (cbrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (cbrt (sqrt (sqrt (+ (pow im 2) (* re re))))))) 3)
  (pow (sqrt (cbrt (sqrt (sqrt (+ (pow im 2) (* re re)))))) 3)
  (pow (sqrt (sqrt (* (cbrt (sqrt (+ (pow im 2) (* re re)))) (cbrt (sqrt (+ (pow im 2) (* re re))))))) 3)
  (pow (sqrt (sqrt (cbrt (sqrt (+ (pow im 2) (* re re)))))) 3)
  (pow (sqrt (sqrt (sqrt (* (cbrt (+ (pow im 2) (* re re))) (cbrt (+ (pow im 2) (* re re))))))) 3)
  (pow (sqrt (sqrt (sqrt (cbrt (+ (pow im 2) (* re re)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (pow im 2) (* re re)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (pow im 2) (* re re)))))) 3)
  (pow (sqrt (sqrt (sqrt 1))) 3)
  (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (pow im 2) (* re re)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (pow im 2) (* re re)))))) 3)
  (pow (sqrt (sqrt 1)) 3)
  (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (pow im 2) (* re re)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (pow im 2) (* re re)))))) 3)
  (pow (sqrt 1) 3)
  (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (pow im 2) (* re re)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (pow im 2) (* re re)))))) 3)
  (pow 1 3)
  (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)
  (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))))
  (log (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3))
  (exp (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3))
  (* (cbrt (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)) (cbrt (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)))
  (cbrt (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3))
  (* (* (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3) (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)) (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3))
  (pow (* (cbrt (sqrt (sqrt (sqrt (+ (pow im 2) (* re re)))))) (cbrt (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))))) 3)
  (pow (cbrt (sqrt (sqrt (sqrt (+ (pow im 2) (* re re)))))) 3)
  (pow (sqrt (* (cbrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (cbrt (sqrt (sqrt (+ (pow im 2) (* re re))))))) 3)
  (pow (sqrt (cbrt (sqrt (sqrt (+ (pow im 2) (* re re)))))) 3)
  (pow (sqrt (sqrt (* (cbrt (sqrt (+ (pow im 2) (* re re)))) (cbrt (sqrt (+ (pow im 2) (* re re))))))) 3)
  (pow (sqrt (sqrt (cbrt (sqrt (+ (pow im 2) (* re re)))))) 3)
  (pow (sqrt (sqrt (sqrt (* (cbrt (+ (pow im 2) (* re re))) (cbrt (+ (pow im 2) (* re re))))))) 3)
  (pow (sqrt (sqrt (sqrt (cbrt (+ (pow im 2) (* re re)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (pow im 2) (* re re)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (pow im 2) (* re re)))))) 3)
  (pow (sqrt (sqrt (sqrt 1))) 3)
  (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (pow im 2) (* re re)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (pow im 2) (* re re)))))) 3)
  (pow (sqrt (sqrt 1)) 3)
  (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (pow im 2) (* re re)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (pow im 2) (* re re)))))) 3)
  (pow (sqrt 1) 3)
  (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (pow im 2) (* re re)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (pow im 2) (* re re)))))) 3)
  (pow 1 3)
  (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)
  (pow (sqrt (sqrt (sqrt (+ (pow (pow im 2) 3) (pow (* re re) 3))))) 3)
  (pow (sqrt (sqrt (sqrt (+ (* (pow im 2) (pow im 2)) (- (* (* re re) (* re re)) (* (pow im 2) (* re re))))))) 3)
  (pow (sqrt (sqrt (sqrt (- (* (pow im 2) (pow im 2)) (* (* re re) (* re re)))))) 3)
  (pow (sqrt (sqrt (sqrt (- (pow im 2) (* re re))))) 3)
  (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))))
  (/ 3 2)
  (sqrt (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3))
  (sqrt (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3))
  (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (/ 3 2))
  (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (/ 3 2))
  re
  im
  (* -1 im)
  re
  im
  (* -1 im)
  (* 2 re)
  (+ re im)
  (- re im)
  (+ (pow re 3/4) (* 3/8 (* (pow (/ 1 (pow re 5)) 1/4) (pow im 2))))
  (pow (pow im 3) 1/4)
  (pow (* -1 (pow im 3)) 1/4)
4.083 * * [simplify]: iteration 0: 151 enodes
4.177 * * [simplify]: iteration 1: 479 enodes
4.405 * * [simplify]: iteration 2: 1609 enodes
5.029 * * [simplify]: iteration complete: 5001 enodes
5.029 * * [simplify]: Extracting #0: cost 58 inf + 0
5.031 * * [simplify]: Extracting #1: cost 892 inf + 11
5.039 * * [simplify]: Extracting #2: cost 1531 inf + 174
5.048 * * [simplify]: Extracting #3: cost 1865 inf + 503
5.054 * * [simplify]: Extracting #4: cost 1817 inf + 1574
5.066 * * [simplify]: Extracting #5: cost 1396 inf + 6875
5.072 * * [simplify]: Extracting #6: cost 791 inf + 18963
5.079 * * [simplify]: Extracting #7: cost 180 inf + 36479
5.091 * * [simplify]: Extracting #8: cost 3 inf + 38418
5.103 * * [simplify]: Extracting #9: cost 0 inf + 36838
5.113 * [simplify]: Simplified to:
  (log (sqrt (+ (pow im 2) (* re re))))
  (exp (sqrt (+ (pow im 2) (* re re))))
  (* (cbrt (sqrt (+ (pow im 2) (* re re)))) (cbrt (sqrt (+ (pow im 2) (* re re)))))
  (cbrt (sqrt (+ (pow im 2) (* re re))))
  (pow (sqrt (+ (pow im 2) (* re re))) 3)
  (fabs (cbrt (+ (pow im 2) (* re re))))
  (sqrt (cbrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  1
  (sqrt (+ (pow im 2) (* re re)))
  (sqrt (+ (pow re 6) (pow (pow im 2) 3)))
  (sqrt (+ (pow im 4) (* (* re re) (- (* re re) (pow im 2)))))
  (sqrt (- (pow im 4) (pow re 4)))
  (sqrt (- (pow im 2) (* re re)))
  1/2
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (log (sqrt (+ (pow im 2) (* re re))))
  (exp (sqrt (+ (pow im 2) (* re re))))
  (* (cbrt (sqrt (+ (pow im 2) (* re re)))) (cbrt (sqrt (+ (pow im 2) (* re re)))))
  (cbrt (sqrt (+ (pow im 2) (* re re))))
  (pow (sqrt (+ (pow im 2) (* re re))) 3)
  (fabs (cbrt (+ (pow im 2) (* re re))))
  (sqrt (cbrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  1
  (sqrt (+ (pow im 2) (* re re)))
  (sqrt (+ (pow re 6) (pow (pow im 2) 3)))
  (sqrt (+ (pow im 4) (* (* re re) (- (* re re) (pow im 2)))))
  (sqrt (- (pow im 4) (pow re 4)))
  (sqrt (- (pow im 2) (* re re)))
  1/2
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (exp (+ (sqrt (+ (pow im 2) (* re re))) re))
  (log (+ (sqrt (+ (pow im 2) (* re re))) re))
  (exp (+ (sqrt (+ (pow im 2) (* re re))) re))
  (* (cbrt (+ (sqrt (+ (pow im 2) (* re re))) re)) (cbrt (+ (sqrt (+ (pow im 2) (* re re))) re)))
  (cbrt (+ (sqrt (+ (pow im 2) (* re re))) re))
  (pow (+ (sqrt (+ (pow im 2) (* re re))) re) 3)
  (sqrt (+ (sqrt (+ (pow im 2) (* re re))) re))
  (sqrt (+ (sqrt (+ (pow im 2) (* re re))) re))
  (+ (pow (sqrt (+ (pow im 2) (* re re))) 3) (pow re 3))
  (+ (* re (- re (sqrt (+ (pow im 2) (* re re))))) (+ (pow im 2) (* re re)))
  (- (+ (pow im 2) (* re re)) (* re re))
  (- (sqrt (+ (pow im 2) (* re re))) re)
  (* 3 (log (sqrt (sqrt (sqrt (+ (pow im 2) (* re re)))))))
  (* 3 (log (sqrt (sqrt (sqrt (+ (pow im 2) (* re re)))))))
  3/2
  3
  3/4
  3/2
  3/8
  3/4
  3/8
  (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (* (cbrt 3) (cbrt 3)))
  (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (sqrt 3))
  (sqrt (sqrt (sqrt (+ (pow im 2) (* re re)))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (sqrt (+ (pow im 2) (* re re)))))
  (pow (fabs (cbrt (sqrt (sqrt (+ (pow im 2) (* re re)))))) 3)
  (pow (sqrt (cbrt (sqrt (sqrt (+ (pow im 2) (* re re)))))) 3)
  (pow (sqrt (fabs (cbrt (sqrt (+ (pow im 2) (* re re)))))) 3)
  (pow (sqrt (sqrt (cbrt (sqrt (+ (pow im 2) (* re re)))))) 3)
  (pow (sqrt (sqrt (fabs (cbrt (+ (pow im 2) (* re re)))))) 3)
  (pow (sqrt (sqrt (sqrt (cbrt (+ (pow im 2) (* re re)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (pow im 2) (* re re)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (pow im 2) (* re re)))))) 3)
  1
  (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (pow im 2) (* re re)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (pow im 2) (* re re)))))) 3)
  1
  (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (pow im 2) (* re re)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (pow im 2) (* re re)))))) 3)
  1
  (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (pow im 2) (* re re)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (pow im 2) (* re re)))))) 3)
  1
  (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (* 3 (log (sqrt (sqrt (sqrt (+ (pow im 2) (* re re)))))))
  (exp (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (sqrt (+ (pow im 2) (* re re)))))
  (pow (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3) 3)
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (sqrt (+ (pow im 2) (* re re)))))
  (pow (fabs (cbrt (sqrt (sqrt (+ (pow im 2) (* re re)))))) 3)
  (pow (sqrt (cbrt (sqrt (sqrt (+ (pow im 2) (* re re)))))) 3)
  (pow (sqrt (fabs (cbrt (sqrt (+ (pow im 2) (* re re)))))) 3)
  (pow (sqrt (sqrt (cbrt (sqrt (+ (pow im 2) (* re re)))))) 3)
  (pow (sqrt (sqrt (fabs (cbrt (+ (pow im 2) (* re re)))))) 3)
  (pow (sqrt (sqrt (sqrt (cbrt (+ (pow im 2) (* re re)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (pow im 2) (* re re)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (pow im 2) (* re re)))))) 3)
  1
  (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (pow im 2) (* re re)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (pow im 2) (* re re)))))) 3)
  1
  (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (pow im 2) (* re re)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (pow im 2) (* re re)))))) 3)
  1
  (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (pow im 2) (* re re)))))) 3)
  (pow (sqrt (sqrt (sqrt (sqrt (+ (pow im 2) (* re re)))))) 3)
  1
  (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)
  (pow (sqrt (sqrt (sqrt (+ (pow re 6) (pow (pow im 2) 3))))) 3)
  (pow (sqrt (sqrt (sqrt (+ (pow im 4) (* (* re re) (- (* re re) (pow im 2))))))) 3)
  (pow (sqrt (sqrt (sqrt (- (pow im 4) (pow re 4))))) 3)
  (pow (sqrt (sqrt (sqrt (- (pow im 2) (* re re))))) 3)
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  3/2
  (sqrt (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3))
  (sqrt (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3))
  (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3/2)
  (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3/2)
  re
  im
  (- im)
  re
  im
  (- im)
  (* re 2)
  (+ im re)
  (- re im)
  (+ (pow re 3/4) (* (* (pow (/ 1 (pow re 5)) 1/4) (* im im)) 3/8))
  (pow (pow im 3) 1/4)
  (pow (- (pow im 3)) 1/4)
5.114 * * * [progress]: adding candidates to table
5.671 * * [progress]: iteration 4 / 4
5.672 * * * [progress]: picking best candidate
5.726 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (* (* (cbrt (sqrt (+ (pow im 2) (* re re)))) (cbrt (sqrt (+ (pow im 2) (* re re))))) (cbrt (sqrt (+ (pow im 2) (* re re))))))) (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)) re)))))>
5.726 * * * [progress]: localizing error
5.835 * * * [progress]: generating rewritten candidates
5.835 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1 1 1)
5.857 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1 1 2 1)
5.882 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1 1 1 2 1)
5.904 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1 1 1 1 1 1)
5.920 * * * [progress]: generating series expansions
5.920 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1 1 1)
5.921 * [backup-simplify]: Simplify (sqrt (+ (pow im 2) (* re re))) into (sqrt (+ (pow im 2) (pow re 2)))
5.921 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (im re) around 0
5.921 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
5.921 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
5.921 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.921 * [taylor]: Taking taylor expansion of im in re
5.921 * [backup-simplify]: Simplify im into im
5.921 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.921 * [taylor]: Taking taylor expansion of re in re
5.921 * [backup-simplify]: Simplify 0 into 0
5.921 * [backup-simplify]: Simplify 1 into 1
5.921 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.921 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
5.921 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.921 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.922 * [backup-simplify]: Simplify (+ 0 0) into 0
5.922 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.922 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
5.922 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
5.922 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.922 * [taylor]: Taking taylor expansion of im in im
5.922 * [backup-simplify]: Simplify 0 into 0
5.922 * [backup-simplify]: Simplify 1 into 1
5.922 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.922 * [taylor]: Taking taylor expansion of re in im
5.922 * [backup-simplify]: Simplify re into re
5.922 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.922 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
5.922 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.922 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.923 * [backup-simplify]: Simplify (+ 0 0) into 0
5.923 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.923 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
5.923 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
5.923 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.923 * [taylor]: Taking taylor expansion of im in im
5.923 * [backup-simplify]: Simplify 0 into 0
5.923 * [backup-simplify]: Simplify 1 into 1
5.923 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.923 * [taylor]: Taking taylor expansion of re in im
5.923 * [backup-simplify]: Simplify re into re
5.923 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.923 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
5.923 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.923 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.923 * [backup-simplify]: Simplify (+ 0 0) into 0
5.923 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.924 * [taylor]: Taking taylor expansion of re in re
5.924 * [backup-simplify]: Simplify 0 into 0
5.924 * [backup-simplify]: Simplify 1 into 1
5.924 * [backup-simplify]: Simplify 0 into 0
5.924 * [taylor]: Taking taylor expansion of 0 in re
5.924 * [backup-simplify]: Simplify 0 into 0
5.924 * [backup-simplify]: Simplify 0 into 0
5.924 * [backup-simplify]: Simplify 1 into 1
5.924 * [backup-simplify]: Simplify (* 1 1) into 1
5.924 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
5.925 * [backup-simplify]: Simplify (+ 1 0) into 1
5.925 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
5.925 * [taylor]: Taking taylor expansion of (/ 1/2 re) in re
5.925 * [taylor]: Taking taylor expansion of 1/2 in re
5.925 * [backup-simplify]: Simplify 1/2 into 1/2
5.925 * [taylor]: Taking taylor expansion of re in re
5.925 * [backup-simplify]: Simplify 0 into 0
5.925 * [backup-simplify]: Simplify 1 into 1
5.925 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.926 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.926 * [backup-simplify]: Simplify 0 into 0
5.926 * [backup-simplify]: Simplify 0 into 0
5.926 * [backup-simplify]: Simplify 0 into 0
5.926 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.927 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
5.927 * [backup-simplify]: Simplify (+ 0 0) into 0
5.927 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
5.927 * [taylor]: Taking taylor expansion of 0 in re
5.927 * [backup-simplify]: Simplify 0 into 0
5.927 * [backup-simplify]: Simplify 0 into 0
5.928 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.928 * [backup-simplify]: Simplify 0 into 0
5.928 * [backup-simplify]: Simplify 0 into 0
5.928 * [backup-simplify]: Simplify (* 1 (* re 1)) into re
5.929 * [backup-simplify]: Simplify (sqrt (+ (pow (/ 1 im) 2) (* (/ 1 re) (/ 1 re)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
5.929 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (im re) around 0
5.929 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.929 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.929 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.929 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.929 * [taylor]: Taking taylor expansion of re in re
5.929 * [backup-simplify]: Simplify 0 into 0
5.929 * [backup-simplify]: Simplify 1 into 1
5.929 * [backup-simplify]: Simplify (* 1 1) into 1
5.929 * [backup-simplify]: Simplify (/ 1 1) into 1
5.929 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.929 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.929 * [taylor]: Taking taylor expansion of im in re
5.929 * [backup-simplify]: Simplify im into im
5.930 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.930 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.930 * [backup-simplify]: Simplify (+ 1 0) into 1
5.930 * [backup-simplify]: Simplify (sqrt 1) into 1
5.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.931 * [backup-simplify]: Simplify (+ 0 0) into 0
5.932 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.932 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.932 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.932 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.932 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.932 * [taylor]: Taking taylor expansion of re in im
5.932 * [backup-simplify]: Simplify re into re
5.932 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.932 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.932 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.932 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.932 * [taylor]: Taking taylor expansion of im in im
5.932 * [backup-simplify]: Simplify 0 into 0
5.932 * [backup-simplify]: Simplify 1 into 1
5.932 * [backup-simplify]: Simplify (* 1 1) into 1
5.933 * [backup-simplify]: Simplify (/ 1 1) into 1
5.933 * [backup-simplify]: Simplify (+ 0 1) into 1
5.933 * [backup-simplify]: Simplify (sqrt 1) into 1
5.934 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.934 * [backup-simplify]: Simplify (+ 0 0) into 0
5.935 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.935 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.935 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.935 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.935 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.935 * [taylor]: Taking taylor expansion of re in im
5.935 * [backup-simplify]: Simplify re into re
5.935 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.935 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.935 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.935 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.935 * [taylor]: Taking taylor expansion of im in im
5.935 * [backup-simplify]: Simplify 0 into 0
5.935 * [backup-simplify]: Simplify 1 into 1
5.935 * [backup-simplify]: Simplify (* 1 1) into 1
5.936 * [backup-simplify]: Simplify (/ 1 1) into 1
5.936 * [backup-simplify]: Simplify (+ 0 1) into 1
5.936 * [backup-simplify]: Simplify (sqrt 1) into 1
5.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.937 * [backup-simplify]: Simplify (+ 0 0) into 0
5.938 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.938 * [taylor]: Taking taylor expansion of 1 in re
5.938 * [backup-simplify]: Simplify 1 into 1
5.938 * [taylor]: Taking taylor expansion of 0 in re
5.938 * [backup-simplify]: Simplify 0 into 0
5.938 * [backup-simplify]: Simplify 1 into 1
5.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.939 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
5.940 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
5.940 * [taylor]: Taking taylor expansion of (/ 1/2 (pow re 2)) in re
5.940 * [taylor]: Taking taylor expansion of 1/2 in re
5.940 * [backup-simplify]: Simplify 1/2 into 1/2
5.940 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.940 * [taylor]: Taking taylor expansion of re in re
5.940 * [backup-simplify]: Simplify 0 into 0
5.940 * [backup-simplify]: Simplify 1 into 1
5.940 * [backup-simplify]: Simplify (* 1 1) into 1
5.940 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.941 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.941 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.941 * [backup-simplify]: Simplify 0 into 0
5.941 * [backup-simplify]: Simplify 0 into 0
5.941 * [backup-simplify]: Simplify 0 into 0
5.942 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.942 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
5.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.943 * [backup-simplify]: Simplify (+ 0 0) into 0
5.944 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0
5.944 * [taylor]: Taking taylor expansion of 0 in re
5.944 * [backup-simplify]: Simplify 0 into 0
5.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.945 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.945 * [backup-simplify]: Simplify 0 into 0
5.945 * [backup-simplify]: Simplify 0 into 0
5.945 * [backup-simplify]: Simplify 0 into 0
5.945 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 im)))) into im
5.945 * [backup-simplify]: Simplify (sqrt (+ (pow (/ 1 (- im)) 2) (* (/ 1 (- re)) (/ 1 (- re))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
5.945 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (im re) around 0
5.945 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.945 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.945 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.945 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.945 * [taylor]: Taking taylor expansion of re in re
5.945 * [backup-simplify]: Simplify 0 into 0
5.945 * [backup-simplify]: Simplify 1 into 1
5.946 * [backup-simplify]: Simplify (* 1 1) into 1
5.946 * [backup-simplify]: Simplify (/ 1 1) into 1
5.946 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.946 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.946 * [taylor]: Taking taylor expansion of im in re
5.946 * [backup-simplify]: Simplify im into im
5.946 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.946 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.947 * [backup-simplify]: Simplify (+ 1 0) into 1
5.947 * [backup-simplify]: Simplify (sqrt 1) into 1
5.948 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.949 * [backup-simplify]: Simplify (+ 0 0) into 0
5.950 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.950 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.950 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.950 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.950 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.950 * [taylor]: Taking taylor expansion of re in im
5.950 * [backup-simplify]: Simplify re into re
5.950 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.950 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.951 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.951 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.951 * [taylor]: Taking taylor expansion of im in im
5.951 * [backup-simplify]: Simplify 0 into 0
5.951 * [backup-simplify]: Simplify 1 into 1
5.951 * [backup-simplify]: Simplify (* 1 1) into 1
5.951 * [backup-simplify]: Simplify (/ 1 1) into 1
5.952 * [backup-simplify]: Simplify (+ 0 1) into 1
5.952 * [backup-simplify]: Simplify (sqrt 1) into 1
5.953 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.954 * [backup-simplify]: Simplify (+ 0 0) into 0
5.955 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.955 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.955 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.955 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.955 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.955 * [taylor]: Taking taylor expansion of re in im
5.955 * [backup-simplify]: Simplify re into re
5.955 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.955 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.955 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.955 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.955 * [taylor]: Taking taylor expansion of im in im
5.955 * [backup-simplify]: Simplify 0 into 0
5.955 * [backup-simplify]: Simplify 1 into 1
5.956 * [backup-simplify]: Simplify (* 1 1) into 1
5.956 * [backup-simplify]: Simplify (/ 1 1) into 1
5.957 * [backup-simplify]: Simplify (+ 0 1) into 1
5.957 * [backup-simplify]: Simplify (sqrt 1) into 1
5.958 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.959 * [backup-simplify]: Simplify (+ 0 0) into 0
5.959 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.960 * [taylor]: Taking taylor expansion of 1 in re
5.960 * [backup-simplify]: Simplify 1 into 1
5.960 * [taylor]: Taking taylor expansion of 0 in re
5.960 * [backup-simplify]: Simplify 0 into 0
5.960 * [backup-simplify]: Simplify 1 into 1
5.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.962 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
5.963 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
5.963 * [taylor]: Taking taylor expansion of (/ 1/2 (pow re 2)) in re
5.963 * [taylor]: Taking taylor expansion of 1/2 in re
5.963 * [backup-simplify]: Simplify 1/2 into 1/2
5.963 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.963 * [taylor]: Taking taylor expansion of re in re
5.963 * [backup-simplify]: Simplify 0 into 0
5.963 * [backup-simplify]: Simplify 1 into 1
5.964 * [backup-simplify]: Simplify (* 1 1) into 1
5.964 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.965 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.966 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.966 * [backup-simplify]: Simplify 0 into 0
5.966 * [backup-simplify]: Simplify 0 into 0
5.966 * [backup-simplify]: Simplify 0 into 0
5.966 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.966 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
5.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.969 * [backup-simplify]: Simplify (+ 0 0) into 0
5.969 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0
5.970 * [taylor]: Taking taylor expansion of 0 in re
5.970 * [backup-simplify]: Simplify 0 into 0
5.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.972 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.972 * [backup-simplify]: Simplify 0 into 0
5.972 * [backup-simplify]: Simplify 0 into 0
5.972 * [backup-simplify]: Simplify 0 into 0
5.972 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- im))))) into (* -1 im)
5.972 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1 1 2 1)
5.972 * [backup-simplify]: Simplify (sqrt (+ (pow im 2) (* re re))) into (sqrt (+ (pow im 2) (pow re 2)))
5.972 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (im re) around 0
5.972 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
5.972 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
5.972 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.972 * [taylor]: Taking taylor expansion of im in re
5.972 * [backup-simplify]: Simplify im into im
5.972 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.972 * [taylor]: Taking taylor expansion of re in re
5.973 * [backup-simplify]: Simplify 0 into 0
5.973 * [backup-simplify]: Simplify 1 into 1
5.973 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.973 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
5.973 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.973 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.974 * [backup-simplify]: Simplify (+ 0 0) into 0
5.974 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.974 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
5.974 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
5.974 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.974 * [taylor]: Taking taylor expansion of im in im
5.974 * [backup-simplify]: Simplify 0 into 0
5.974 * [backup-simplify]: Simplify 1 into 1
5.974 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.974 * [taylor]: Taking taylor expansion of re in im
5.974 * [backup-simplify]: Simplify re into re
5.974 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.974 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
5.974 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.975 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.975 * [backup-simplify]: Simplify (+ 0 0) into 0
5.975 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.975 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
5.975 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
5.976 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.976 * [taylor]: Taking taylor expansion of im in im
5.976 * [backup-simplify]: Simplify 0 into 0
5.976 * [backup-simplify]: Simplify 1 into 1
5.976 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.976 * [taylor]: Taking taylor expansion of re in im
5.976 * [backup-simplify]: Simplify re into re
5.976 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.976 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
5.976 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.976 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.977 * [backup-simplify]: Simplify (+ 0 0) into 0
5.977 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.977 * [taylor]: Taking taylor expansion of re in re
5.977 * [backup-simplify]: Simplify 0 into 0
5.977 * [backup-simplify]: Simplify 1 into 1
5.977 * [backup-simplify]: Simplify 0 into 0
5.977 * [taylor]: Taking taylor expansion of 0 in re
5.977 * [backup-simplify]: Simplify 0 into 0
5.977 * [backup-simplify]: Simplify 0 into 0
5.977 * [backup-simplify]: Simplify 1 into 1
5.977 * [backup-simplify]: Simplify (* 1 1) into 1
5.978 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
5.979 * [backup-simplify]: Simplify (+ 1 0) into 1
5.980 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
5.980 * [taylor]: Taking taylor expansion of (/ 1/2 re) in re
5.980 * [taylor]: Taking taylor expansion of 1/2 in re
5.980 * [backup-simplify]: Simplify 1/2 into 1/2
5.980 * [taylor]: Taking taylor expansion of re in re
5.980 * [backup-simplify]: Simplify 0 into 0
5.980 * [backup-simplify]: Simplify 1 into 1
5.980 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.981 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.981 * [backup-simplify]: Simplify 0 into 0
5.981 * [backup-simplify]: Simplify 0 into 0
5.981 * [backup-simplify]: Simplify 0 into 0
5.982 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.983 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
5.983 * [backup-simplify]: Simplify (+ 0 0) into 0
5.983 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
5.983 * [taylor]: Taking taylor expansion of 0 in re
5.983 * [backup-simplify]: Simplify 0 into 0
5.983 * [backup-simplify]: Simplify 0 into 0
5.984 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.984 * [backup-simplify]: Simplify 0 into 0
5.984 * [backup-simplify]: Simplify 0 into 0
5.984 * [backup-simplify]: Simplify (* 1 (* re 1)) into re
5.985 * [backup-simplify]: Simplify (sqrt (+ (pow (/ 1 im) 2) (* (/ 1 re) (/ 1 re)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
5.985 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (im re) around 0
5.985 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.985 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.985 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.985 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.985 * [taylor]: Taking taylor expansion of re in re
5.985 * [backup-simplify]: Simplify 0 into 0
5.985 * [backup-simplify]: Simplify 1 into 1
5.985 * [backup-simplify]: Simplify (* 1 1) into 1
5.986 * [backup-simplify]: Simplify (/ 1 1) into 1
5.986 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.986 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.986 * [taylor]: Taking taylor expansion of im in re
5.986 * [backup-simplify]: Simplify im into im
5.986 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.986 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.987 * [backup-simplify]: Simplify (+ 1 0) into 1
5.987 * [backup-simplify]: Simplify (sqrt 1) into 1
5.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.989 * [backup-simplify]: Simplify (+ 0 0) into 0
5.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.989 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.989 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.989 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.989 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.989 * [taylor]: Taking taylor expansion of re in im
5.990 * [backup-simplify]: Simplify re into re
5.990 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.990 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.990 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.990 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.990 * [taylor]: Taking taylor expansion of im in im
5.990 * [backup-simplify]: Simplify 0 into 0
5.990 * [backup-simplify]: Simplify 1 into 1
5.990 * [backup-simplify]: Simplify (* 1 1) into 1
5.991 * [backup-simplify]: Simplify (/ 1 1) into 1
5.991 * [backup-simplify]: Simplify (+ 0 1) into 1
5.992 * [backup-simplify]: Simplify (sqrt 1) into 1
5.992 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.993 * [backup-simplify]: Simplify (+ 0 0) into 0
5.994 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.994 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.994 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.994 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.994 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.994 * [taylor]: Taking taylor expansion of re in im
5.994 * [backup-simplify]: Simplify re into re
5.994 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.995 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.995 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.995 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.995 * [taylor]: Taking taylor expansion of im in im
5.995 * [backup-simplify]: Simplify 0 into 0
5.995 * [backup-simplify]: Simplify 1 into 1
5.995 * [backup-simplify]: Simplify (* 1 1) into 1
5.996 * [backup-simplify]: Simplify (/ 1 1) into 1
5.996 * [backup-simplify]: Simplify (+ 0 1) into 1
5.996 * [backup-simplify]: Simplify (sqrt 1) into 1
5.997 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.998 * [backup-simplify]: Simplify (+ 0 0) into 0
5.999 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.999 * [taylor]: Taking taylor expansion of 1 in re
5.999 * [backup-simplify]: Simplify 1 into 1
5.999 * [taylor]: Taking taylor expansion of 0 in re
5.999 * [backup-simplify]: Simplify 0 into 0
5.999 * [backup-simplify]: Simplify 1 into 1
6.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.001 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
6.003 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
6.003 * [taylor]: Taking taylor expansion of (/ 1/2 (pow re 2)) in re
6.003 * [taylor]: Taking taylor expansion of 1/2 in re
6.003 * [backup-simplify]: Simplify 1/2 into 1/2
6.003 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.003 * [taylor]: Taking taylor expansion of re in re
6.003 * [backup-simplify]: Simplify 0 into 0
6.003 * [backup-simplify]: Simplify 1 into 1
6.003 * [backup-simplify]: Simplify (* 1 1) into 1
6.004 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.005 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.007 * [backup-simplify]: Simplify 0 into 0
6.007 * [backup-simplify]: Simplify 0 into 0
6.007 * [backup-simplify]: Simplify 0 into 0
6.008 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.008 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
6.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.009 * [backup-simplify]: Simplify (+ 0 0) into 0
6.010 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0
6.010 * [taylor]: Taking taylor expansion of 0 in re
6.010 * [backup-simplify]: Simplify 0 into 0
6.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.011 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.011 * [backup-simplify]: Simplify 0 into 0
6.011 * [backup-simplify]: Simplify 0 into 0
6.011 * [backup-simplify]: Simplify 0 into 0
6.011 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 im)))) into im
6.011 * [backup-simplify]: Simplify (sqrt (+ (pow (/ 1 (- im)) 2) (* (/ 1 (- re)) (/ 1 (- re))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
6.011 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (im re) around 0
6.011 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.011 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.011 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.011 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.011 * [taylor]: Taking taylor expansion of re in re
6.012 * [backup-simplify]: Simplify 0 into 0
6.012 * [backup-simplify]: Simplify 1 into 1
6.012 * [backup-simplify]: Simplify (* 1 1) into 1
6.012 * [backup-simplify]: Simplify (/ 1 1) into 1
6.012 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.012 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.012 * [taylor]: Taking taylor expansion of im in re
6.012 * [backup-simplify]: Simplify im into im
6.012 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.012 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.013 * [backup-simplify]: Simplify (+ 1 0) into 1
6.013 * [backup-simplify]: Simplify (sqrt 1) into 1
6.013 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.014 * [backup-simplify]: Simplify (+ 0 0) into 0
6.014 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.014 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.014 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.014 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.014 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.014 * [taylor]: Taking taylor expansion of re in im
6.014 * [backup-simplify]: Simplify re into re
6.014 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.015 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.015 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.015 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.015 * [taylor]: Taking taylor expansion of im in im
6.015 * [backup-simplify]: Simplify 0 into 0
6.015 * [backup-simplify]: Simplify 1 into 1
6.015 * [backup-simplify]: Simplify (* 1 1) into 1
6.015 * [backup-simplify]: Simplify (/ 1 1) into 1
6.015 * [backup-simplify]: Simplify (+ 0 1) into 1
6.016 * [backup-simplify]: Simplify (sqrt 1) into 1
6.016 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.017 * [backup-simplify]: Simplify (+ 0 0) into 0
6.017 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.017 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.017 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.017 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.017 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.017 * [taylor]: Taking taylor expansion of re in im
6.017 * [backup-simplify]: Simplify re into re
6.017 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.017 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.017 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.017 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.017 * [taylor]: Taking taylor expansion of im in im
6.018 * [backup-simplify]: Simplify 0 into 0
6.018 * [backup-simplify]: Simplify 1 into 1
6.018 * [backup-simplify]: Simplify (* 1 1) into 1
6.018 * [backup-simplify]: Simplify (/ 1 1) into 1
6.018 * [backup-simplify]: Simplify (+ 0 1) into 1
6.019 * [backup-simplify]: Simplify (sqrt 1) into 1
6.019 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.020 * [backup-simplify]: Simplify (+ 0 0) into 0
6.020 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.020 * [taylor]: Taking taylor expansion of 1 in re
6.020 * [backup-simplify]: Simplify 1 into 1
6.020 * [taylor]: Taking taylor expansion of 0 in re
6.020 * [backup-simplify]: Simplify 0 into 0
6.020 * [backup-simplify]: Simplify 1 into 1
6.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.022 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
6.023 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
6.023 * [taylor]: Taking taylor expansion of (/ 1/2 (pow re 2)) in re
6.023 * [taylor]: Taking taylor expansion of 1/2 in re
6.023 * [backup-simplify]: Simplify 1/2 into 1/2
6.023 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.023 * [taylor]: Taking taylor expansion of re in re
6.023 * [backup-simplify]: Simplify 0 into 0
6.023 * [backup-simplify]: Simplify 1 into 1
6.023 * [backup-simplify]: Simplify (* 1 1) into 1
6.023 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.024 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.024 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.024 * [backup-simplify]: Simplify 0 into 0
6.024 * [backup-simplify]: Simplify 0 into 0
6.024 * [backup-simplify]: Simplify 0 into 0
6.024 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.024 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
6.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.026 * [backup-simplify]: Simplify (+ 0 0) into 0
6.026 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0
6.026 * [taylor]: Taking taylor expansion of 0 in re
6.026 * [backup-simplify]: Simplify 0 into 0
6.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.028 * [backup-simplify]: Simplify 0 into 0
6.028 * [backup-simplify]: Simplify 0 into 0
6.028 * [backup-simplify]: Simplify 0 into 0
6.028 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- im))))) into (* -1 im)
6.028 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1 1 1 2 1)
6.028 * [backup-simplify]: Simplify (sqrt (+ (pow im 2) (* re re))) into (sqrt (+ (pow im 2) (pow re 2)))
6.028 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (im re) around 0
6.028 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
6.028 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
6.028 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.028 * [taylor]: Taking taylor expansion of im in re
6.028 * [backup-simplify]: Simplify im into im
6.028 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.028 * [taylor]: Taking taylor expansion of re in re
6.028 * [backup-simplify]: Simplify 0 into 0
6.028 * [backup-simplify]: Simplify 1 into 1
6.028 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.028 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
6.028 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.028 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.029 * [backup-simplify]: Simplify (+ 0 0) into 0
6.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.029 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
6.029 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
6.029 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.029 * [taylor]: Taking taylor expansion of im in im
6.029 * [backup-simplify]: Simplify 0 into 0
6.029 * [backup-simplify]: Simplify 1 into 1
6.029 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.029 * [taylor]: Taking taylor expansion of re in im
6.029 * [backup-simplify]: Simplify re into re
6.029 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.029 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
6.029 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.029 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.029 * [backup-simplify]: Simplify (+ 0 0) into 0
6.030 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.030 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
6.030 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
6.030 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.030 * [taylor]: Taking taylor expansion of im in im
6.030 * [backup-simplify]: Simplify 0 into 0
6.030 * [backup-simplify]: Simplify 1 into 1
6.030 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.030 * [taylor]: Taking taylor expansion of re in im
6.030 * [backup-simplify]: Simplify re into re
6.030 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.030 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
6.030 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.030 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.030 * [backup-simplify]: Simplify (+ 0 0) into 0
6.030 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.030 * [taylor]: Taking taylor expansion of re in re
6.030 * [backup-simplify]: Simplify 0 into 0
6.030 * [backup-simplify]: Simplify 1 into 1
6.030 * [backup-simplify]: Simplify 0 into 0
6.030 * [taylor]: Taking taylor expansion of 0 in re
6.030 * [backup-simplify]: Simplify 0 into 0
6.030 * [backup-simplify]: Simplify 0 into 0
6.031 * [backup-simplify]: Simplify 1 into 1
6.031 * [backup-simplify]: Simplify (* 1 1) into 1
6.031 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
6.031 * [backup-simplify]: Simplify (+ 1 0) into 1
6.032 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
6.032 * [taylor]: Taking taylor expansion of (/ 1/2 re) in re
6.032 * [taylor]: Taking taylor expansion of 1/2 in re
6.032 * [backup-simplify]: Simplify 1/2 into 1/2
6.032 * [taylor]: Taking taylor expansion of re in re
6.032 * [backup-simplify]: Simplify 0 into 0
6.032 * [backup-simplify]: Simplify 1 into 1
6.032 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.033 * [backup-simplify]: Simplify 0 into 0
6.033 * [backup-simplify]: Simplify 0 into 0
6.033 * [backup-simplify]: Simplify 0 into 0
6.033 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.034 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
6.034 * [backup-simplify]: Simplify (+ 0 0) into 0
6.034 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
6.034 * [taylor]: Taking taylor expansion of 0 in re
6.034 * [backup-simplify]: Simplify 0 into 0
6.034 * [backup-simplify]: Simplify 0 into 0
6.035 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.035 * [backup-simplify]: Simplify 0 into 0
6.035 * [backup-simplify]: Simplify 0 into 0
6.035 * [backup-simplify]: Simplify (* 1 (* re 1)) into re
6.035 * [backup-simplify]: Simplify (sqrt (+ (pow (/ 1 im) 2) (* (/ 1 re) (/ 1 re)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
6.035 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (im re) around 0
6.035 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.035 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.035 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.035 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.035 * [taylor]: Taking taylor expansion of re in re
6.035 * [backup-simplify]: Simplify 0 into 0
6.035 * [backup-simplify]: Simplify 1 into 1
6.035 * [backup-simplify]: Simplify (* 1 1) into 1
6.036 * [backup-simplify]: Simplify (/ 1 1) into 1
6.036 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.036 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.036 * [taylor]: Taking taylor expansion of im in re
6.036 * [backup-simplify]: Simplify im into im
6.036 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.036 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.036 * [backup-simplify]: Simplify (+ 1 0) into 1
6.036 * [backup-simplify]: Simplify (sqrt 1) into 1
6.037 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.038 * [backup-simplify]: Simplify (+ 0 0) into 0
6.038 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.038 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.038 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.038 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.038 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.038 * [taylor]: Taking taylor expansion of re in im
6.038 * [backup-simplify]: Simplify re into re
6.038 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.038 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.038 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.038 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.038 * [taylor]: Taking taylor expansion of im in im
6.038 * [backup-simplify]: Simplify 0 into 0
6.038 * [backup-simplify]: Simplify 1 into 1
6.039 * [backup-simplify]: Simplify (* 1 1) into 1
6.039 * [backup-simplify]: Simplify (/ 1 1) into 1
6.039 * [backup-simplify]: Simplify (+ 0 1) into 1
6.040 * [backup-simplify]: Simplify (sqrt 1) into 1
6.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.041 * [backup-simplify]: Simplify (+ 0 0) into 0
6.041 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.041 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.041 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.041 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.041 * [taylor]: Taking taylor expansion of re in im
6.041 * [backup-simplify]: Simplify re into re
6.041 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.041 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.041 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.041 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.041 * [taylor]: Taking taylor expansion of im in im
6.041 * [backup-simplify]: Simplify 0 into 0
6.041 * [backup-simplify]: Simplify 1 into 1
6.042 * [backup-simplify]: Simplify (* 1 1) into 1
6.042 * [backup-simplify]: Simplify (/ 1 1) into 1
6.043 * [backup-simplify]: Simplify (+ 0 1) into 1
6.043 * [backup-simplify]: Simplify (sqrt 1) into 1
6.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.045 * [backup-simplify]: Simplify (+ 0 0) into 0
6.045 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.046 * [taylor]: Taking taylor expansion of 1 in re
6.046 * [backup-simplify]: Simplify 1 into 1
6.046 * [taylor]: Taking taylor expansion of 0 in re
6.046 * [backup-simplify]: Simplify 0 into 0
6.046 * [backup-simplify]: Simplify 1 into 1
6.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.048 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
6.049 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
6.049 * [taylor]: Taking taylor expansion of (/ 1/2 (pow re 2)) in re
6.049 * [taylor]: Taking taylor expansion of 1/2 in re
6.049 * [backup-simplify]: Simplify 1/2 into 1/2
6.049 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.049 * [taylor]: Taking taylor expansion of re in re
6.049 * [backup-simplify]: Simplify 0 into 0
6.049 * [backup-simplify]: Simplify 1 into 1
6.050 * [backup-simplify]: Simplify (* 1 1) into 1
6.050 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.051 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.052 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.052 * [backup-simplify]: Simplify 0 into 0
6.052 * [backup-simplify]: Simplify 0 into 0
6.052 * [backup-simplify]: Simplify 0 into 0
6.052 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.053 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
6.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.055 * [backup-simplify]: Simplify (+ 0 0) into 0
6.056 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0
6.056 * [taylor]: Taking taylor expansion of 0 in re
6.056 * [backup-simplify]: Simplify 0 into 0
6.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.058 * [backup-simplify]: Simplify 0 into 0
6.058 * [backup-simplify]: Simplify 0 into 0
6.058 * [backup-simplify]: Simplify 0 into 0
6.058 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 im)))) into im
6.058 * [backup-simplify]: Simplify (sqrt (+ (pow (/ 1 (- im)) 2) (* (/ 1 (- re)) (/ 1 (- re))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
6.058 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (im re) around 0
6.058 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.058 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.058 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.058 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.058 * [taylor]: Taking taylor expansion of re in re
6.058 * [backup-simplify]: Simplify 0 into 0
6.058 * [backup-simplify]: Simplify 1 into 1
6.059 * [backup-simplify]: Simplify (* 1 1) into 1
6.059 * [backup-simplify]: Simplify (/ 1 1) into 1
6.059 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.059 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.059 * [taylor]: Taking taylor expansion of im in re
6.059 * [backup-simplify]: Simplify im into im
6.059 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.059 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.059 * [backup-simplify]: Simplify (+ 1 0) into 1
6.060 * [backup-simplify]: Simplify (sqrt 1) into 1
6.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.061 * [backup-simplify]: Simplify (+ 0 0) into 0
6.061 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.061 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.061 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.061 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.061 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.061 * [taylor]: Taking taylor expansion of re in im
6.061 * [backup-simplify]: Simplify re into re
6.061 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.062 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.062 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.062 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.062 * [taylor]: Taking taylor expansion of im in im
6.062 * [backup-simplify]: Simplify 0 into 0
6.062 * [backup-simplify]: Simplify 1 into 1
6.062 * [backup-simplify]: Simplify (* 1 1) into 1
6.062 * [backup-simplify]: Simplify (/ 1 1) into 1
6.062 * [backup-simplify]: Simplify (+ 0 1) into 1
6.063 * [backup-simplify]: Simplify (sqrt 1) into 1
6.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.064 * [backup-simplify]: Simplify (+ 0 0) into 0
6.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.064 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.064 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.064 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.064 * [taylor]: Taking taylor expansion of re in im
6.064 * [backup-simplify]: Simplify re into re
6.064 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.064 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.064 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.064 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.065 * [taylor]: Taking taylor expansion of im in im
6.065 * [backup-simplify]: Simplify 0 into 0
6.065 * [backup-simplify]: Simplify 1 into 1
6.065 * [backup-simplify]: Simplify (* 1 1) into 1
6.065 * [backup-simplify]: Simplify (/ 1 1) into 1
6.065 * [backup-simplify]: Simplify (+ 0 1) into 1
6.066 * [backup-simplify]: Simplify (sqrt 1) into 1
6.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.067 * [backup-simplify]: Simplify (+ 0 0) into 0
6.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.067 * [taylor]: Taking taylor expansion of 1 in re
6.067 * [backup-simplify]: Simplify 1 into 1
6.067 * [taylor]: Taking taylor expansion of 0 in re
6.067 * [backup-simplify]: Simplify 0 into 0
6.067 * [backup-simplify]: Simplify 1 into 1
6.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.069 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
6.069 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
6.069 * [taylor]: Taking taylor expansion of (/ 1/2 (pow re 2)) in re
6.069 * [taylor]: Taking taylor expansion of 1/2 in re
6.070 * [backup-simplify]: Simplify 1/2 into 1/2
6.070 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.070 * [taylor]: Taking taylor expansion of re in re
6.070 * [backup-simplify]: Simplify 0 into 0
6.070 * [backup-simplify]: Simplify 1 into 1
6.070 * [backup-simplify]: Simplify (* 1 1) into 1
6.070 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.071 * [backup-simplify]: Simplify 0 into 0
6.071 * [backup-simplify]: Simplify 0 into 0
6.071 * [backup-simplify]: Simplify 0 into 0
6.071 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.072 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
6.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.073 * [backup-simplify]: Simplify (+ 0 0) into 0
6.073 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0
6.074 * [taylor]: Taking taylor expansion of 0 in re
6.074 * [backup-simplify]: Simplify 0 into 0
6.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.075 * [backup-simplify]: Simplify 0 into 0
6.075 * [backup-simplify]: Simplify 0 into 0
6.075 * [backup-simplify]: Simplify 0 into 0
6.075 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- im))))) into (* -1 im)
6.075 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1 1 1 1 1 1)
6.075 * [backup-simplify]: Simplify (sqrt (+ (pow im 2) (* re re))) into (sqrt (+ (pow im 2) (pow re 2)))
6.075 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (im re) around 0
6.075 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
6.075 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
6.075 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.075 * [taylor]: Taking taylor expansion of im in re
6.075 * [backup-simplify]: Simplify im into im
6.075 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.075 * [taylor]: Taking taylor expansion of re in re
6.075 * [backup-simplify]: Simplify 0 into 0
6.075 * [backup-simplify]: Simplify 1 into 1
6.075 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.075 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
6.075 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.076 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.076 * [backup-simplify]: Simplify (+ 0 0) into 0
6.076 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.076 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
6.076 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
6.076 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.076 * [taylor]: Taking taylor expansion of im in im
6.076 * [backup-simplify]: Simplify 0 into 0
6.076 * [backup-simplify]: Simplify 1 into 1
6.076 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.076 * [taylor]: Taking taylor expansion of re in im
6.076 * [backup-simplify]: Simplify re into re
6.076 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.076 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
6.076 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.076 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.077 * [backup-simplify]: Simplify (+ 0 0) into 0
6.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.077 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
6.077 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
6.077 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.077 * [taylor]: Taking taylor expansion of im in im
6.077 * [backup-simplify]: Simplify 0 into 0
6.077 * [backup-simplify]: Simplify 1 into 1
6.077 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.077 * [taylor]: Taking taylor expansion of re in im
6.077 * [backup-simplify]: Simplify re into re
6.077 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.077 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
6.077 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.077 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.077 * [backup-simplify]: Simplify (+ 0 0) into 0
6.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.078 * [taylor]: Taking taylor expansion of re in re
6.078 * [backup-simplify]: Simplify 0 into 0
6.078 * [backup-simplify]: Simplify 1 into 1
6.078 * [backup-simplify]: Simplify 0 into 0
6.078 * [taylor]: Taking taylor expansion of 0 in re
6.078 * [backup-simplify]: Simplify 0 into 0
6.078 * [backup-simplify]: Simplify 0 into 0
6.078 * [backup-simplify]: Simplify 1 into 1
6.078 * [backup-simplify]: Simplify (* 1 1) into 1
6.078 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
6.078 * [backup-simplify]: Simplify (+ 1 0) into 1
6.079 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
6.079 * [taylor]: Taking taylor expansion of (/ 1/2 re) in re
6.079 * [taylor]: Taking taylor expansion of 1/2 in re
6.079 * [backup-simplify]: Simplify 1/2 into 1/2
6.079 * [taylor]: Taking taylor expansion of re in re
6.079 * [backup-simplify]: Simplify 0 into 0
6.079 * [backup-simplify]: Simplify 1 into 1
6.079 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.080 * [backup-simplify]: Simplify 0 into 0
6.080 * [backup-simplify]: Simplify 0 into 0
6.080 * [backup-simplify]: Simplify 0 into 0
6.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.081 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
6.081 * [backup-simplify]: Simplify (+ 0 0) into 0
6.081 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
6.081 * [taylor]: Taking taylor expansion of 0 in re
6.081 * [backup-simplify]: Simplify 0 into 0
6.081 * [backup-simplify]: Simplify 0 into 0
6.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.082 * [backup-simplify]: Simplify 0 into 0
6.082 * [backup-simplify]: Simplify 0 into 0
6.082 * [backup-simplify]: Simplify (* 1 (* re 1)) into re
6.082 * [backup-simplify]: Simplify (sqrt (+ (pow (/ 1 im) 2) (* (/ 1 re) (/ 1 re)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
6.082 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (im re) around 0
6.082 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.082 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.082 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.082 * [taylor]: Taking taylor expansion of re in re
6.082 * [backup-simplify]: Simplify 0 into 0
6.082 * [backup-simplify]: Simplify 1 into 1
6.083 * [backup-simplify]: Simplify (* 1 1) into 1
6.083 * [backup-simplify]: Simplify (/ 1 1) into 1
6.083 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.083 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.083 * [taylor]: Taking taylor expansion of im in re
6.083 * [backup-simplify]: Simplify im into im
6.083 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.083 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.083 * [backup-simplify]: Simplify (+ 1 0) into 1
6.084 * [backup-simplify]: Simplify (sqrt 1) into 1
6.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.085 * [backup-simplify]: Simplify (+ 0 0) into 0
6.085 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.085 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.085 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.085 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.085 * [taylor]: Taking taylor expansion of re in im
6.085 * [backup-simplify]: Simplify re into re
6.085 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.085 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.085 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.085 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.085 * [taylor]: Taking taylor expansion of im in im
6.085 * [backup-simplify]: Simplify 0 into 0
6.085 * [backup-simplify]: Simplify 1 into 1
6.086 * [backup-simplify]: Simplify (* 1 1) into 1
6.086 * [backup-simplify]: Simplify (/ 1 1) into 1
6.087 * [backup-simplify]: Simplify (+ 0 1) into 1
6.087 * [backup-simplify]: Simplify (sqrt 1) into 1
6.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.089 * [backup-simplify]: Simplify (+ 0 0) into 0
6.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.090 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.090 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.090 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.090 * [taylor]: Taking taylor expansion of re in im
6.090 * [backup-simplify]: Simplify re into re
6.090 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.090 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.090 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.090 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.090 * [taylor]: Taking taylor expansion of im in im
6.090 * [backup-simplify]: Simplify 0 into 0
6.090 * [backup-simplify]: Simplify 1 into 1
6.091 * [backup-simplify]: Simplify (* 1 1) into 1
6.091 * [backup-simplify]: Simplify (/ 1 1) into 1
6.092 * [backup-simplify]: Simplify (+ 0 1) into 1
6.092 * [backup-simplify]: Simplify (sqrt 1) into 1
6.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.094 * [backup-simplify]: Simplify (+ 0 0) into 0
6.095 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.095 * [taylor]: Taking taylor expansion of 1 in re
6.095 * [backup-simplify]: Simplify 1 into 1
6.095 * [taylor]: Taking taylor expansion of 0 in re
6.095 * [backup-simplify]: Simplify 0 into 0
6.095 * [backup-simplify]: Simplify 1 into 1
6.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.097 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
6.098 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
6.098 * [taylor]: Taking taylor expansion of (/ 1/2 (pow re 2)) in re
6.098 * [taylor]: Taking taylor expansion of 1/2 in re
6.098 * [backup-simplify]: Simplify 1/2 into 1/2
6.098 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.099 * [taylor]: Taking taylor expansion of re in re
6.099 * [backup-simplify]: Simplify 0 into 0
6.099 * [backup-simplify]: Simplify 1 into 1
6.099 * [backup-simplify]: Simplify (* 1 1) into 1
6.099 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.101 * [backup-simplify]: Simplify 0 into 0
6.101 * [backup-simplify]: Simplify 0 into 0
6.101 * [backup-simplify]: Simplify 0 into 0
6.101 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.102 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
6.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.104 * [backup-simplify]: Simplify (+ 0 0) into 0
6.105 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0
6.105 * [taylor]: Taking taylor expansion of 0 in re
6.105 * [backup-simplify]: Simplify 0 into 0
6.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.107 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.107 * [backup-simplify]: Simplify 0 into 0
6.107 * [backup-simplify]: Simplify 0 into 0
6.107 * [backup-simplify]: Simplify 0 into 0
6.107 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 im)))) into im
6.108 * [backup-simplify]: Simplify (sqrt (+ (pow (/ 1 (- im)) 2) (* (/ 1 (- re)) (/ 1 (- re))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
6.108 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (im re) around 0
6.108 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.108 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.108 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.108 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.108 * [taylor]: Taking taylor expansion of re in re
6.108 * [backup-simplify]: Simplify 0 into 0
6.108 * [backup-simplify]: Simplify 1 into 1
6.108 * [backup-simplify]: Simplify (* 1 1) into 1
6.109 * [backup-simplify]: Simplify (/ 1 1) into 1
6.109 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.109 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.109 * [taylor]: Taking taylor expansion of im in re
6.109 * [backup-simplify]: Simplify im into im
6.109 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.109 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.109 * [backup-simplify]: Simplify (+ 1 0) into 1
6.110 * [backup-simplify]: Simplify (sqrt 1) into 1
6.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.112 * [backup-simplify]: Simplify (+ 0 0) into 0
6.112 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.112 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.113 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.113 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.113 * [taylor]: Taking taylor expansion of re in im
6.113 * [backup-simplify]: Simplify re into re
6.113 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.113 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.113 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.113 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.113 * [taylor]: Taking taylor expansion of im in im
6.113 * [backup-simplify]: Simplify 0 into 0
6.113 * [backup-simplify]: Simplify 1 into 1
6.113 * [backup-simplify]: Simplify (* 1 1) into 1
6.114 * [backup-simplify]: Simplify (/ 1 1) into 1
6.114 * [backup-simplify]: Simplify (+ 0 1) into 1
6.114 * [backup-simplify]: Simplify (sqrt 1) into 1
6.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.115 * [backup-simplify]: Simplify (+ 0 0) into 0
6.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.116 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.116 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.116 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.116 * [taylor]: Taking taylor expansion of re in im
6.116 * [backup-simplify]: Simplify re into re
6.116 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.116 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.116 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.116 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.116 * [taylor]: Taking taylor expansion of im in im
6.116 * [backup-simplify]: Simplify 0 into 0
6.116 * [backup-simplify]: Simplify 1 into 1
6.116 * [backup-simplify]: Simplify (* 1 1) into 1
6.117 * [backup-simplify]: Simplify (/ 1 1) into 1
6.117 * [backup-simplify]: Simplify (+ 0 1) into 1
6.117 * [backup-simplify]: Simplify (sqrt 1) into 1
6.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.118 * [backup-simplify]: Simplify (+ 0 0) into 0
6.120 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.120 * [taylor]: Taking taylor expansion of 1 in re
6.120 * [backup-simplify]: Simplify 1 into 1
6.120 * [taylor]: Taking taylor expansion of 0 in re
6.120 * [backup-simplify]: Simplify 0 into 0
6.120 * [backup-simplify]: Simplify 1 into 1
6.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.122 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
6.123 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
6.123 * [taylor]: Taking taylor expansion of (/ 1/2 (pow re 2)) in re
6.123 * [taylor]: Taking taylor expansion of 1/2 in re
6.123 * [backup-simplify]: Simplify 1/2 into 1/2
6.123 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.123 * [taylor]: Taking taylor expansion of re in re
6.123 * [backup-simplify]: Simplify 0 into 0
6.123 * [backup-simplify]: Simplify 1 into 1
6.123 * [backup-simplify]: Simplify (* 1 1) into 1
6.123 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.124 * [backup-simplify]: Simplify 0 into 0
6.124 * [backup-simplify]: Simplify 0 into 0
6.124 * [backup-simplify]: Simplify 0 into 0
6.124 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.124 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
6.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.126 * [backup-simplify]: Simplify (+ 0 0) into 0
6.126 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0
6.126 * [taylor]: Taking taylor expansion of 0 in re
6.126 * [backup-simplify]: Simplify 0 into 0
6.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.127 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.128 * [backup-simplify]: Simplify 0 into 0
6.128 * [backup-simplify]: Simplify 0 into 0
6.128 * [backup-simplify]: Simplify 0 into 0
6.128 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- im))))) into (* -1 im)
6.128 * * * [progress]: simplifying candidates
6.129 * [simplify]: Simplifying:
  (log (sqrt (+ (pow im 2) (* re re))))
  (exp (sqrt (+ (pow im 2) (* re re))))
  (* (cbrt (sqrt (+ (pow im 2) (* re re)))) (cbrt (sqrt (+ (pow im 2) (* re re)))))
  (cbrt (sqrt (+ (pow im 2) (* re re))))
  (* (* (sqrt (+ (pow im 2) (* re re))) (sqrt (+ (pow im 2) (* re re)))) (sqrt (+ (pow im 2) (* re re))))
  (sqrt (* (cbrt (+ (pow im 2) (* re re))) (cbrt (+ (pow im 2) (* re re)))))
  (sqrt (cbrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt 1)
  (sqrt (+ (pow im 2) (* re re)))
  (sqrt (+ (pow (pow im 2) 3) (pow (* re re) 3)))
  (sqrt (+ (* (pow im 2) (pow im 2)) (- (* (* re re) (* re re)) (* (pow im 2) (* re re)))))
  (sqrt (- (* (pow im 2) (pow im 2)) (* (* re re) (* re re))))
  (sqrt (- (pow im 2) (* re re)))
  (/ 1 2)
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (log (sqrt (+ (pow im 2) (* re re))))
  (exp (sqrt (+ (pow im 2) (* re re))))
  (* (cbrt (sqrt (+ (pow im 2) (* re re)))) (cbrt (sqrt (+ (pow im 2) (* re re)))))
  (cbrt (sqrt (+ (pow im 2) (* re re))))
  (* (* (sqrt (+ (pow im 2) (* re re))) (sqrt (+ (pow im 2) (* re re)))) (sqrt (+ (pow im 2) (* re re))))
  (sqrt (* (cbrt (+ (pow im 2) (* re re))) (cbrt (+ (pow im 2) (* re re)))))
  (sqrt (cbrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt 1)
  (sqrt (+ (pow im 2) (* re re)))
  (sqrt (+ (pow (pow im 2) 3) (pow (* re re) 3)))
  (sqrt (+ (* (pow im 2) (pow im 2)) (- (* (* re re) (* re re)) (* (pow im 2) (* re re)))))
  (sqrt (- (* (pow im 2) (pow im 2)) (* (* re re) (* re re))))
  (sqrt (- (pow im 2) (* re re)))
  (/ 1 2)
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (log (sqrt (+ (pow im 2) (* re re))))
  (exp (sqrt (+ (pow im 2) (* re re))))
  (* (cbrt (sqrt (+ (pow im 2) (* re re)))) (cbrt (sqrt (+ (pow im 2) (* re re)))))
  (cbrt (sqrt (+ (pow im 2) (* re re))))
  (* (* (sqrt (+ (pow im 2) (* re re))) (sqrt (+ (pow im 2) (* re re)))) (sqrt (+ (pow im 2) (* re re))))
  (sqrt (* (cbrt (+ (pow im 2) (* re re))) (cbrt (+ (pow im 2) (* re re)))))
  (sqrt (cbrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt 1)
  (sqrt (+ (pow im 2) (* re re)))
  (sqrt (+ (pow (pow im 2) 3) (pow (* re re) 3)))
  (sqrt (+ (* (pow im 2) (pow im 2)) (- (* (* re re) (* re re)) (* (pow im 2) (* re re)))))
  (sqrt (- (* (pow im 2) (pow im 2)) (* (* re re) (* re re))))
  (sqrt (- (pow im 2) (* re re)))
  (/ 1 2)
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (log (sqrt (+ (pow im 2) (* re re))))
  (exp (sqrt (+ (pow im 2) (* re re))))
  (* (cbrt (sqrt (+ (pow im 2) (* re re)))) (cbrt (sqrt (+ (pow im 2) (* re re)))))
  (cbrt (sqrt (+ (pow im 2) (* re re))))
  (* (* (sqrt (+ (pow im 2) (* re re))) (sqrt (+ (pow im 2) (* re re)))) (sqrt (+ (pow im 2) (* re re))))
  (sqrt (* (cbrt (+ (pow im 2) (* re re))) (cbrt (+ (pow im 2) (* re re)))))
  (sqrt (cbrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt 1)
  (sqrt (+ (pow im 2) (* re re)))
  (sqrt (+ (pow (pow im 2) 3) (pow (* re re) 3)))
  (sqrt (+ (* (pow im 2) (pow im 2)) (- (* (* re re) (* re re)) (* (pow im 2) (* re re)))))
  (sqrt (- (* (pow im 2) (pow im 2)) (* (* re re) (* re re))))
  (sqrt (- (pow im 2) (* re re)))
  (/ 1 2)
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  (sqrt (sqrt (+ (pow im 2) (* re re))))
  re
  im
  (* -1 im)
  re
  im
  (* -1 im)
  re
  im
  (* -1 im)
  re
  im
  (* -1 im)
6.129 * * [simplify]: iteration 0: 38 enodes
6.137 * * [simplify]: iteration 1: 85 enodes
6.164 * * [simplify]: iteration 2: 247 enodes
6.296 * * [simplify]: iteration 3: 935 enodes
6.635 * * [simplify]: iteration complete: 5001 enodes
6.636 * * [simplify]: Extracting #0: cost 18 inf + 0
6.636 * * [simplify]: Extracting #1: cost 33 inf + 6
6.636 * * [simplify]: Extracting #2: cost 135 inf + 8
6.648 * * [simplify]: Extracting #3: cost 1794 inf + 117
6.654 * * [simplify]: Extracting #4: cost 1364 inf + 4881
6.661 * * [simplify]: Extracting #5: cost 271 inf + 12483
6.669 * * [simplify]: Extracting #6: cost 49 inf + 14455
6.682 * * [simplify]: Extracting #7: cost 5 inf + 14701
6.695 * * [simplify]: Extracting #8: cost 0 inf + 14736
6.708 * [simplify]: Simplified to:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow re 6) (pow im 6)))
  (sqrt (- (+ (pow im 4) (pow re 4)) (* (* im im) (* re re))))
  (sqrt (- (pow im 4) (pow re 4)))
  (sqrt (* (+ re im) (- im re)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow re 6) (pow im 6)))
  (sqrt (- (+ (pow im 4) (pow re 4)) (* (* im im) (* re re))))
  (sqrt (- (pow im 4) (pow re 4)))
  (sqrt (* (+ re im) (- im re)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow re 6) (pow im 6)))
  (sqrt (- (+ (pow im 4) (pow re 4)) (* (* im im) (* re re))))
  (sqrt (- (pow im 4) (pow re 4)))
  (sqrt (* (+ re im) (- im re)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (pow (sqrt (+ (* re re) (* im im))) 3)
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow re 6) (pow im 6)))
  (sqrt (- (+ (pow im 4) (pow re 4)) (* (* im im) (* re re))))
  (sqrt (- (pow im 4) (pow re 4)))
  (sqrt (* (+ re im) (- im re)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  re
  im
  (- im)
  re
  im
  (- im)
  re
  im
  (- im)
  re
  im
  (- im)
6.709 * * * [progress]: adding candidates to table
7.520 * [progress]: [Phase 3 of 3] Extracting.
7.520 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (pow im 2) 0) (- (sqrt (+ (pow im 2) (* re re))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (sqrt (+ (pow im 2) (* re re))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (fabs (cbrt (+ (pow im 2) (* re re)))) (sqrt (cbrt (+ (pow im 2) (* re re))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (* (pow (sqrt (sqrt (fabs (cbrt (+ (pow im 2) (* re re)))))) 3) (pow (sqrt (sqrt (sqrt (cbrt (+ (pow im 2) (* re re)))))) 3))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (pow im 2) 0))) (sqrt (- (sqrt (+ (pow im 2) (* re re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* re 2)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (* (* (cbrt (sqrt (+ (pow im 2) (* re re)))) (cbrt (sqrt (+ (pow im 2) (* re re))))) (cbrt (sqrt (+ (pow im 2) (* re re))))))) (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)) re)))))>)
7.523 * * * [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)
7.523 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (pow im 2) 0) (- (sqrt (+ (pow im 2) (* re re))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (sqrt (+ (pow im 2) (* re re))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (fabs (cbrt (+ (pow im 2) (* re re)))) (sqrt (cbrt (+ (pow im 2) (* re re))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (* (pow (sqrt (sqrt (fabs (cbrt (+ (pow im 2) (* re re)))))) 3) (pow (sqrt (sqrt (sqrt (cbrt (+ (pow im 2) (* re re)))))) 3))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (pow im 2) 0))) (sqrt (- (sqrt (+ (pow im 2) (* re re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* re 2)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (* (* (cbrt (sqrt (+ (pow im 2) (* re re)))) (cbrt (sqrt (+ (pow im 2) (* re re))))) (cbrt (sqrt (+ (pow im 2) (* re re))))))) (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)) re)))))>)
7.666 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))> #<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 2)))))>)
7.719 * * * * [regimes]: Trying to branch on (+ (sqrt (+ (* re re) (* im im))) re) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (pow im 2) 0) (- (sqrt (+ (pow im 2) (* re re))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (sqrt (+ (pow im 2) (* re re))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (fabs (cbrt (+ (pow im 2) (* re re)))) (sqrt (cbrt (+ (pow im 2) (* re re))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (* (pow (sqrt (sqrt (fabs (cbrt (+ (pow im 2) (* re re)))))) 3) (pow (sqrt (sqrt (sqrt (cbrt (+ (pow im 2) (* re re)))))) 3))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (pow im 2) 0))) (sqrt (- (sqrt (+ (pow im 2) (* re re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* re 2)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (* (* (cbrt (sqrt (+ (pow im 2) (* re re)))) (cbrt (sqrt (+ (pow im 2) (* re re))))) (cbrt (sqrt (+ (pow im 2) (* re re))))))) (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)) re)))))>)
7.840 * * * * [regimes]: Trying to branch on (+ (sqrt (+ (* re re) (* im im))) re) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))>)
7.902 * * * * [regimes]: Trying to branch on (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (pow im 2) 0) (- (sqrt (+ (pow im 2) (* re re))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (sqrt (+ (pow im 2) (* re re))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (fabs (cbrt (+ (pow im 2) (* re re)))) (sqrt (cbrt (+ (pow im 2) (* re re))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (* (pow (sqrt (sqrt (fabs (cbrt (+ (pow im 2) (* re re)))))) 3) (pow (sqrt (sqrt (sqrt (cbrt (+ (pow im 2) (* re re)))))) 3))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (pow im 2) 0))) (sqrt (- (sqrt (+ (pow im 2) (* re re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* re 2)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (* (* (cbrt (sqrt (+ (pow im 2) (* re re)))) (cbrt (sqrt (+ (pow im 2) (* re re))))) (cbrt (sqrt (+ (pow im 2) (* re re))))))) (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)) re)))))>)
8.005 * * * * [regimes]: Trying to branch on (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))>)
8.061 * * * * [regimes]: Trying to branch on (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (pow im 2) 0) (- (sqrt (+ (pow im 2) (* re re))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (sqrt (+ (pow im 2) (* re re))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (fabs (cbrt (+ (pow im 2) (* re re)))) (sqrt (cbrt (+ (pow im 2) (* re re))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (* (pow (sqrt (sqrt (fabs (cbrt (+ (pow im 2) (* re re)))))) 3) (pow (sqrt (sqrt (sqrt (cbrt (+ (pow im 2) (* re re)))))) 3))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (pow im 2) 0))) (sqrt (- (sqrt (+ (pow im 2) (* re re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* re 2)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (* (* (cbrt (sqrt (+ (pow im 2) (* re re)))) (cbrt (sqrt (+ (pow im 2) (* re re))))) (cbrt (sqrt (+ (pow im 2) (* re re))))))) (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)) re)))))>)
8.208 * * * * [regimes]: Trying to branch on (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))>)
8.259 * * * * [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 (/ (+ (pow im 2) 0) (- (sqrt (+ (pow im 2) (* re re))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (sqrt (+ (pow im 2) (* re re))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (fabs (cbrt (+ (pow im 2) (* re re)))) (sqrt (cbrt (+ (pow im 2) (* re re))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (* (pow (sqrt (sqrt (fabs (cbrt (+ (pow im 2) (* re re)))))) 3) (pow (sqrt (sqrt (sqrt (cbrt (+ (pow im 2) (* re re)))))) 3))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (pow im 2) 0))) (sqrt (- (sqrt (+ (pow im 2) (* re re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* re 2)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (* (* (cbrt (sqrt (+ (pow im 2) (* re re)))) (cbrt (sqrt (+ (pow im 2) (* re re))))) (cbrt (sqrt (+ (pow im 2) (* re re))))))) (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)) re)))))>)
8.420 * * * * [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 0))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))>)
8.462 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (pow im 2) 0) (- (sqrt (+ (pow im 2) (* re re))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (sqrt (+ (pow im 2) (* re re))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (fabs (cbrt (+ (pow im 2) (* re re)))) (sqrt (cbrt (+ (pow im 2) (* re re))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (* (pow (sqrt (sqrt (fabs (cbrt (+ (pow im 2) (* re re)))))) 3) (pow (sqrt (sqrt (sqrt (cbrt (+ (pow im 2) (* re re)))))) 3))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (pow im 2) 0))) (sqrt (- (sqrt (+ (pow im 2) (* re re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* re 2)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (* (* (cbrt (sqrt (+ (pow im 2) (* re re)))) (cbrt (sqrt (+ (pow im 2) (* re re))))) (cbrt (sqrt (+ (pow im 2) (* re re))))))) (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)) re)))))>)
8.647 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (pow im 2) 0) (- (sqrt (+ (pow im 2) (* re re))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (sqrt (+ (pow im 2) (* re re))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (fabs (cbrt (+ (pow im 2) (* re re)))) (sqrt (cbrt (+ (pow im 2) (* re re))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (* (pow (sqrt (sqrt (fabs (cbrt (+ (pow im 2) (* re re)))))) 3) (pow (sqrt (sqrt (sqrt (cbrt (+ (pow im 2) (* re re)))))) 3))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (pow im 2) 0))) (sqrt (- (sqrt (+ (pow im 2) (* re re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* re 2)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (* (* (cbrt (sqrt (+ (pow im 2) (* re re)))) (cbrt (sqrt (+ (pow im 2) (* re re))))) (cbrt (sqrt (+ (pow im 2) (* re re))))))) (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)) re)))))>)
8.862 * * * [regime]: Found split indices: #<option (#s(si 10 59) #s(si 6 92) #s(si 8 180) #s(si 0 205) #s(si 7 255))>
8.863 * [binary-search]: Improving bounds with binary search for im and (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (pow im 2) 0) (- (sqrt (+ (pow im 2) (* re re))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (sqrt (+ (pow im 2) (* re re))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (fabs (cbrt (+ (pow im 2) (* re re)))) (sqrt (cbrt (+ (pow im 2) (* re re))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (* (pow (sqrt (sqrt (fabs (cbrt (+ (pow im 2) (* re re)))))) 3) (pow (sqrt (sqrt (sqrt (cbrt (+ (pow im 2) (* re re)))))) 3))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (pow im 2) 0))) (sqrt (- (sqrt (+ (pow im 2) (* re re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* re 2)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (* (* (cbrt (sqrt (+ (pow im 2) (* re re)))) (cbrt (sqrt (+ (pow im 2) (* re re))))) (cbrt (sqrt (+ (pow im 2) (* re re))))))) (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)) re)))))>)
9.239 * [regimes]: Found splitpoints: (#s(sp 10 im -3.1150436889321725e+78) #s(sp 6 im -6.768391877498059e-68) #s(sp 8 im 1.1456858364248567e-118) #s(sp 0 im 1.605778950101428e+60) #s(sp 7 im +nan.0)) , with alts (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (pow im 2) 0) (- (sqrt (+ (pow im 2) (* re re))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (pow im 2) (* re re)))) (sqrt (sqrt (+ (pow im 2) (* re re))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (fabs (cbrt (+ (pow im 2) (* re re)))) (sqrt (cbrt (+ (pow im 2) (* re re))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (* (pow (sqrt (sqrt (fabs (cbrt (+ (pow im 2) (* re re)))))) 3) (pow (sqrt (sqrt (sqrt (cbrt (+ (pow im 2) (* re re)))))) 3))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (pow im 2) 0))) (sqrt (- (sqrt (+ (pow im 2) (* re re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* re 2)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (- re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (* (* (cbrt (sqrt (+ (pow im 2) (* re re)))) (cbrt (sqrt (+ (pow im 2) (* re re))))) (cbrt (sqrt (+ (pow im 2) (* re re))))))) (pow (sqrt (sqrt (sqrt (+ (pow im 2) (* re re))))) 3)) re)))))>)
9.240 * [simplify]: Simplifying:
  (if (<= im -3.1150436889321725e+78) (* 0.5 (sqrt (* 2.0 (- re im)))) (if (<= im -6.768391877498059e-68) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (if (<= im 1.1456858364248567e-118) (* 0.5 (sqrt (* 2.0 (* re 2)))) (if (<= im 1.605778950101428e+60) (* 0.5 (sqrt (* 2.0 (/ (+ (pow im 2) 0) (- (sqrt (+ (pow im 2) (* re re))) re))))) (* 0.5 (sqrt (* 2.0 (+ im re))))))))
9.240 * * [simplify]: iteration 0: 47 enodes
9.244 * * [simplify]: iteration 1: 63 enodes
9.248 * * [simplify]: iteration 2: 65 enodes
9.252 * * [simplify]: iteration complete: 65 enodes
9.252 * * [simplify]: Extracting #0: cost 1 inf + 0
9.252 * * [simplify]: Extracting #1: cost 4 inf + 0
9.252 * * [simplify]: Extracting #2: cost 11 inf + 0
9.252 * * [simplify]: Extracting #3: cost 14 inf + 3
9.252 * * [simplify]: Extracting #4: cost 19 inf + 10
9.252 * * [simplify]: Extracting #5: cost 23 inf + 12
9.253 * * [simplify]: Extracting #6: cost 23 inf + 20
9.253 * * [simplify]: Extracting #7: cost 23 inf + 42
9.253 * * [simplify]: Extracting #8: cost 25 inf + 46
9.253 * * [simplify]: Extracting #9: cost 19 inf + 82
9.253 * * [simplify]: Extracting #10: cost 15 inf + 114
9.253 * * [simplify]: Extracting #11: cost 12 inf + 141
9.253 * * [simplify]: Extracting #12: cost 8 inf + 186
9.254 * * [simplify]: Extracting #13: cost 3 inf + 284
9.254 * * [simplify]: Extracting #14: cost 0 inf + 463
9.254 * [simplify]: Simplified to:
  (if (<= im -3.1150436889321725e+78) (* (sqrt (* (- re im) 2.0)) 0.5) (if (<= im -6.768391877498059e-68) (* 0.5 (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2.0))) (if (<= im 1.1456858364248567e-118) (* 0.5 (sqrt (* (* 2 re) 2.0))) (if (<= im 1.605778950101428e+60) (* 0.5 (sqrt (* (/ (pow im 2) (- (sqrt (+ (pow im 2) (* re re))) re)) 2.0))) (* (sqrt (* 2.0 (+ re im))) 0.5)))))
13.500 * [regime-testing]: Baseline error score: 38.357846422974106
13.517 * [regime-testing]: Oracle error score: 9.654364574309414
13.552 * [regime-testing]: End program error score: 23.541298853312295
13.703 * [regime-testing]: Target error score: 33.33878973716128