29.805 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.048 * * * [progress]: [2/2] Setting up program.
0.055 * [progress]: [Phase 2 of 3] Improving.
0.056 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
0.056 * * [simplify]: iteration 0: 12 enodes
0.059 * * [simplify]: iteration 1: 22 enodes
0.062 * * [simplify]: iteration 2: 24 enodes
0.065 * * [simplify]: iteration complete: 24 enodes
0.065 * * [simplify]: Extracting #0: cost 1 inf + 0
0.065 * * [simplify]: Extracting #1: cost 3 inf + 0
0.065 * * [simplify]: Extracting #2: cost 3 inf + 1
0.065 * * [simplify]: Extracting #3: cost 7 inf + 1
0.065 * * [simplify]: Extracting #4: cost 8 inf + 2
0.065 * * [simplify]: Extracting #5: cost 8 inf + 3
0.065 * * [simplify]: Extracting #6: cost 9 inf + 45
0.065 * * [simplify]: Extracting #7: cost 9 inf + 86
0.065 * * [simplify]: Extracting #8: cost 7 inf + 128
0.065 * * [simplify]: Extracting #9: cost 5 inf + 412
0.066 * * [simplify]: Extracting #10: cost 2 inf + 1060
0.066 * * [simplify]: Extracting #11: cost 0 inf + 1667
0.066 * [simplify]: Simplified to:
  (* 0.5 (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2.0)))
0.067 * * [progress]: iteration 1 / 4
0.067 * * * [progress]: picking best candidate
0.071 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))>
0.071 * * * [progress]: localizing error
0.090 * * * [progress]: generating rewritten candidates
0.090 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1)
0.098 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2)
0.141 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
0.166 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1)
0.174 * * * [progress]: generating series expansions
0.174 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1)
0.174 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
0.174 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
0.174 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.174 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.174 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.174 * [taylor]: Taking taylor expansion of im in im
0.174 * [backup-simplify]: Simplify 0 into 0
0.175 * [backup-simplify]: Simplify 1 into 1
0.175 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.175 * [taylor]: Taking taylor expansion of re in im
0.175 * [backup-simplify]: Simplify re into re
0.175 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.175 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.175 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.175 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.175 * [backup-simplify]: Simplify (+ 0 0) into 0
0.176 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.176 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.176 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.176 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.176 * [taylor]: Taking taylor expansion of im in re
0.176 * [backup-simplify]: Simplify im into im
0.176 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.176 * [taylor]: Taking taylor expansion of re in re
0.176 * [backup-simplify]: Simplify 0 into 0
0.176 * [backup-simplify]: Simplify 1 into 1
0.176 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.176 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.176 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.176 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.176 * [backup-simplify]: Simplify (+ 0 0) into 0
0.176 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.176 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.176 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.176 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.176 * [taylor]: Taking taylor expansion of im in re
0.176 * [backup-simplify]: Simplify im into im
0.176 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.176 * [taylor]: Taking taylor expansion of re in re
0.176 * [backup-simplify]: Simplify 0 into 0
0.177 * [backup-simplify]: Simplify 1 into 1
0.177 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.177 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.177 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.177 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.177 * [backup-simplify]: Simplify (+ 0 0) into 0
0.177 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.177 * [taylor]: Taking taylor expansion of im in im
0.177 * [backup-simplify]: Simplify 0 into 0
0.177 * [backup-simplify]: Simplify 1 into 1
0.177 * [backup-simplify]: Simplify 0 into 0
0.177 * [taylor]: Taking taylor expansion of 0 in im
0.177 * [backup-simplify]: Simplify 0 into 0
0.177 * [backup-simplify]: Simplify 0 into 0
0.177 * [backup-simplify]: Simplify 1 into 1
0.178 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.178 * [backup-simplify]: Simplify (* 1 1) into 1
0.178 * [backup-simplify]: Simplify (+ 0 1) into 1
0.179 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.179 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.179 * [taylor]: Taking taylor expansion of 1/2 in im
0.179 * [backup-simplify]: Simplify 1/2 into 1/2
0.179 * [taylor]: Taking taylor expansion of im in im
0.179 * [backup-simplify]: Simplify 0 into 0
0.179 * [backup-simplify]: Simplify 1 into 1
0.179 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.180 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.180 * [backup-simplify]: Simplify 0 into 0
0.180 * [backup-simplify]: Simplify 0 into 0
0.180 * [backup-simplify]: Simplify 0 into 0
0.180 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.181 * [backup-simplify]: Simplify (+ 0 0) into 0
0.181 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.181 * [taylor]: Taking taylor expansion of 0 in im
0.181 * [backup-simplify]: Simplify 0 into 0
0.181 * [backup-simplify]: Simplify 0 into 0
0.182 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.182 * [backup-simplify]: Simplify 0 into 0
0.182 * [backup-simplify]: Simplify 0 into 0
0.182 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.182 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
0.182 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
0.182 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.182 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.182 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.182 * [taylor]: Taking taylor expansion of re in im
0.182 * [backup-simplify]: Simplify re into re
0.182 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.182 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.182 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.182 * [taylor]: Taking taylor expansion of im in im
0.182 * [backup-simplify]: Simplify 0 into 0
0.182 * [backup-simplify]: Simplify 1 into 1
0.182 * [backup-simplify]: Simplify (* 1 1) into 1
0.183 * [backup-simplify]: Simplify (/ 1 1) into 1
0.183 * [backup-simplify]: Simplify (+ 0 1) into 1
0.183 * [backup-simplify]: Simplify (sqrt 1) into 1
0.184 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.185 * [backup-simplify]: Simplify (+ 0 0) into 0
0.185 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.185 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.185 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.185 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.185 * [taylor]: Taking taylor expansion of re in re
0.185 * [backup-simplify]: Simplify 0 into 0
0.185 * [backup-simplify]: Simplify 1 into 1
0.185 * [backup-simplify]: Simplify (* 1 1) into 1
0.186 * [backup-simplify]: Simplify (/ 1 1) into 1
0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.186 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.186 * [taylor]: Taking taylor expansion of im in re
0.186 * [backup-simplify]: Simplify im into im
0.186 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.186 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.186 * [backup-simplify]: Simplify (+ 1 0) into 1
0.186 * [backup-simplify]: Simplify (sqrt 1) into 1
0.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.188 * [backup-simplify]: Simplify (+ 0 0) into 0
0.188 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.188 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.188 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.188 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.188 * [taylor]: Taking taylor expansion of re in re
0.188 * [backup-simplify]: Simplify 0 into 0
0.188 * [backup-simplify]: Simplify 1 into 1
0.188 * [backup-simplify]: Simplify (* 1 1) into 1
0.189 * [backup-simplify]: Simplify (/ 1 1) into 1
0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.189 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.189 * [taylor]: Taking taylor expansion of im in re
0.189 * [backup-simplify]: Simplify im into im
0.189 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.189 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.189 * [backup-simplify]: Simplify (+ 1 0) into 1
0.189 * [backup-simplify]: Simplify (sqrt 1) into 1
0.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.190 * [backup-simplify]: Simplify (+ 0 0) into 0
0.191 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.191 * [taylor]: Taking taylor expansion of 1 in im
0.191 * [backup-simplify]: Simplify 1 into 1
0.191 * [taylor]: Taking taylor expansion of 0 in im
0.191 * [backup-simplify]: Simplify 0 into 0
0.191 * [backup-simplify]: Simplify 1 into 1
0.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.192 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.193 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.193 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.193 * [taylor]: Taking taylor expansion of 1/2 in im
0.193 * [backup-simplify]: Simplify 1/2 into 1/2
0.193 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.193 * [taylor]: Taking taylor expansion of im in im
0.193 * [backup-simplify]: Simplify 0 into 0
0.193 * [backup-simplify]: Simplify 1 into 1
0.193 * [backup-simplify]: Simplify (* 1 1) into 1
0.194 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.194 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.194 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.195 * [backup-simplify]: Simplify 0 into 0
0.195 * [backup-simplify]: Simplify 0 into 0
0.195 * [backup-simplify]: Simplify 0 into 0
0.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.196 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.196 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.196 * [backup-simplify]: Simplify (+ 0 0) into 0
0.197 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.197 * [taylor]: Taking taylor expansion of 0 in im
0.197 * [backup-simplify]: Simplify 0 into 0
0.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.198 * [backup-simplify]: Simplify 0 into 0
0.198 * [backup-simplify]: Simplify 0 into 0
0.198 * [backup-simplify]: Simplify 0 into 0
0.198 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.198 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
0.198 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
0.198 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.198 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.198 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.198 * [taylor]: Taking taylor expansion of re in im
0.198 * [backup-simplify]: Simplify re into re
0.198 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.198 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.198 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.199 * [taylor]: Taking taylor expansion of im in im
0.199 * [backup-simplify]: Simplify 0 into 0
0.199 * [backup-simplify]: Simplify 1 into 1
0.199 * [backup-simplify]: Simplify (* 1 1) into 1
0.199 * [backup-simplify]: Simplify (/ 1 1) into 1
0.199 * [backup-simplify]: Simplify (+ 0 1) into 1
0.200 * [backup-simplify]: Simplify (sqrt 1) into 1
0.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.201 * [backup-simplify]: Simplify (+ 0 0) into 0
0.201 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.201 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.201 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.201 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.201 * [taylor]: Taking taylor expansion of re in re
0.201 * [backup-simplify]: Simplify 0 into 0
0.201 * [backup-simplify]: Simplify 1 into 1
0.201 * [backup-simplify]: Simplify (* 1 1) into 1
0.202 * [backup-simplify]: Simplify (/ 1 1) into 1
0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.202 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.202 * [taylor]: Taking taylor expansion of im in re
0.202 * [backup-simplify]: Simplify im into im
0.202 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.202 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.202 * [backup-simplify]: Simplify (+ 1 0) into 1
0.202 * [backup-simplify]: Simplify (sqrt 1) into 1
0.203 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.203 * [backup-simplify]: Simplify (+ 0 0) into 0
0.204 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.204 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.204 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.204 * [taylor]: Taking taylor expansion of re in re
0.204 * [backup-simplify]: Simplify 0 into 0
0.204 * [backup-simplify]: Simplify 1 into 1
0.204 * [backup-simplify]: Simplify (* 1 1) into 1
0.204 * [backup-simplify]: Simplify (/ 1 1) into 1
0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.204 * [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 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.205 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.205 * [backup-simplify]: Simplify (+ 1 0) into 1
0.205 * [backup-simplify]: Simplify (sqrt 1) into 1
0.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.206 * [backup-simplify]: Simplify (+ 0 0) into 0
0.207 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.207 * [taylor]: Taking taylor expansion of 1 in im
0.207 * [backup-simplify]: Simplify 1 into 1
0.207 * [taylor]: Taking taylor expansion of 0 in im
0.207 * [backup-simplify]: Simplify 0 into 0
0.207 * [backup-simplify]: Simplify 1 into 1
0.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.208 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.209 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.209 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.209 * [taylor]: Taking taylor expansion of 1/2 in im
0.209 * [backup-simplify]: Simplify 1/2 into 1/2
0.209 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.209 * [taylor]: Taking taylor expansion of im in im
0.209 * [backup-simplify]: Simplify 0 into 0
0.209 * [backup-simplify]: Simplify 1 into 1
0.209 * [backup-simplify]: Simplify (* 1 1) into 1
0.210 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.210 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.210 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.210 * [backup-simplify]: Simplify 0 into 0
0.210 * [backup-simplify]: Simplify 0 into 0
0.211 * [backup-simplify]: Simplify 0 into 0
0.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.212 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.212 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.212 * [backup-simplify]: Simplify (+ 0 0) into 0
0.213 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.213 * [taylor]: Taking taylor expansion of 0 in im
0.213 * [backup-simplify]: Simplify 0 into 0
0.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.214 * [backup-simplify]: Simplify 0 into 0
0.214 * [backup-simplify]: Simplify 0 into 0
0.214 * [backup-simplify]: Simplify 0 into 0
0.214 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.214 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2)
0.214 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2))))
0.214 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0
0.214 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
0.214 * [taylor]: Taking taylor expansion of re in im
0.214 * [backup-simplify]: Simplify re into re
0.214 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.214 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.214 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.214 * [taylor]: Taking taylor expansion of im in im
0.214 * [backup-simplify]: Simplify 0 into 0
0.214 * [backup-simplify]: Simplify 1 into 1
0.214 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.214 * [taylor]: Taking taylor expansion of re in im
0.214 * [backup-simplify]: Simplify re into re
0.214 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.215 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.215 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.215 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.215 * [backup-simplify]: Simplify (+ 0 0) into 0
0.215 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.215 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.215 * [taylor]: Taking taylor expansion of re in re
0.215 * [backup-simplify]: Simplify 0 into 0
0.215 * [backup-simplify]: Simplify 1 into 1
0.215 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.215 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.215 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.215 * [taylor]: Taking taylor expansion of im in re
0.215 * [backup-simplify]: Simplify im into im
0.215 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.215 * [taylor]: Taking taylor expansion of re in re
0.215 * [backup-simplify]: Simplify 0 into 0
0.215 * [backup-simplify]: Simplify 1 into 1
0.215 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.215 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.215 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.215 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.216 * [backup-simplify]: Simplify (+ 0 0) into 0
0.216 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.216 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (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 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.216 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 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 * [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 (* im im) into (pow im 2)
0.216 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.216 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.217 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.217 * [backup-simplify]: Simplify (+ 0 0) into 0
0.217 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.217 * [backup-simplify]: Simplify (+ 0 im) into im
0.217 * [taylor]: Taking taylor expansion of im in im
0.217 * [backup-simplify]: Simplify 0 into 0
0.217 * [backup-simplify]: Simplify 1 into 1
0.217 * [backup-simplify]: Simplify 0 into 0
0.217 * [backup-simplify]: Simplify (+ 1 0) into 1
0.217 * [taylor]: Taking taylor expansion of 1 in im
0.217 * [backup-simplify]: Simplify 1 into 1
0.217 * [backup-simplify]: Simplify 1 into 1
0.217 * [backup-simplify]: Simplify 1 into 1
0.218 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.218 * [backup-simplify]: Simplify (* 1 1) into 1
0.218 * [backup-simplify]: Simplify (+ 0 1) into 1
0.219 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.219 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.219 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
0.219 * [taylor]: Taking taylor expansion of 1/2 in im
0.219 * [backup-simplify]: Simplify 1/2 into 1/2
0.219 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.219 * [taylor]: Taking taylor expansion of im in im
0.219 * [backup-simplify]: Simplify 0 into 0
0.219 * [backup-simplify]: Simplify 1 into 1
0.219 * [backup-simplify]: Simplify (/ 1 1) into 1
0.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.220 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.220 * [backup-simplify]: Simplify 0 into 0
0.220 * [backup-simplify]: Simplify 0 into 0
0.220 * [backup-simplify]: Simplify 0 into 0
0.221 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.221 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.221 * [backup-simplify]: Simplify (+ 0 0) into 0
0.221 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.224 * [backup-simplify]: Simplify (+ 0 0) into 0
0.224 * [taylor]: Taking taylor expansion of 0 in im
0.224 * [backup-simplify]: Simplify 0 into 0
0.224 * [backup-simplify]: Simplify 0 into 0
0.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.225 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.225 * [backup-simplify]: Simplify 0 into 0
0.225 * [backup-simplify]: Simplify 0 into 0
0.225 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
0.225 * [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)))))
0.225 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
0.225 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
0.225 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.225 * [taylor]: Taking taylor expansion of re in im
0.225 * [backup-simplify]: Simplify re into re
0.225 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.225 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.225 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.225 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.225 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.225 * [taylor]: Taking taylor expansion of re in im
0.225 * [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
0.226 * [backup-simplify]: Simplify (* 1 1) into 1
0.226 * [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
0.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.228 * [backup-simplify]: Simplify (+ 0 0) into 0
0.228 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.228 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.228 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.228 * [taylor]: Taking taylor expansion of re in re
0.228 * [backup-simplify]: Simplify 0 into 0
0.228 * [backup-simplify]: Simplify 1 into 1
0.229 * [backup-simplify]: Simplify (/ 1 1) into 1
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
0.229 * [backup-simplify]: Simplify (/ 1 1) into 1
0.229 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.229 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.229 * [taylor]: Taking taylor expansion of im in re
0.229 * [backup-simplify]: Simplify im into im
0.229 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.229 * [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
0.230 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.231 * [backup-simplify]: Simplify (+ 0 0) into 0
0.231 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.231 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.232 * [taylor]: Taking taylor expansion of (/ 1 re) 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
0.232 * [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
0.232 * [backup-simplify]: Simplify (/ 1 1) into 1
0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.232 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.232 * [taylor]: Taking taylor expansion of im in re
0.232 * [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 * [backup-simplify]: Simplify (+ 1 1) into 2
0.235 * [taylor]: Taking taylor expansion of 2 in im
0.235 * [backup-simplify]: Simplify 2 into 2
0.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.236 * [backup-simplify]: Simplify (+ 0 0) into 0
0.236 * [taylor]: Taking taylor expansion of 0 in im
0.236 * [backup-simplify]: Simplify 0 into 0
0.236 * [backup-simplify]: Simplify 2 into 2
0.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.238 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.238 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.239 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.239 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.239 * [taylor]: Taking taylor expansion of 1/2 in im
0.239 * [backup-simplify]: Simplify 1/2 into 1/2
0.239 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.239 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.239 * [taylor]: Taking taylor expansion of im in im
0.239 * [backup-simplify]: Simplify 0 into 0
0.239 * [backup-simplify]: Simplify 1 into 1
0.239 * [backup-simplify]: Simplify (* 1 1) into 1
0.239 * [backup-simplify]: Simplify (/ 1 1) into 1
0.240 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.241 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.241 * [backup-simplify]: Simplify 0 into 0
0.241 * [backup-simplify]: Simplify 0 into 0
0.241 * [backup-simplify]: Simplify 0 into 0
0.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.242 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.243 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.243 * [backup-simplify]: Simplify (+ 0 0) into 0
0.243 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.244 * [backup-simplify]: Simplify (+ 0 0) into 0
0.244 * [taylor]: Taking taylor expansion of 0 in im
0.244 * [backup-simplify]: Simplify 0 into 0
0.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.245 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.245 * [backup-simplify]: Simplify 0 into 0
0.245 * [backup-simplify]: Simplify 0 into 0
0.245 * [backup-simplify]: Simplify 0 into 0
0.245 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
0.246 * [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))
0.246 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
0.246 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
0.246 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.246 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.246 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.246 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.246 * [taylor]: Taking taylor expansion of re in im
0.246 * [backup-simplify]: Simplify re into re
0.246 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.246 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.246 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.246 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.246 * [taylor]: Taking taylor expansion of im in im
0.246 * [backup-simplify]: Simplify 0 into 0
0.246 * [backup-simplify]: Simplify 1 into 1
0.246 * [backup-simplify]: Simplify (* 1 1) into 1
0.247 * [backup-simplify]: Simplify (/ 1 1) into 1
0.247 * [backup-simplify]: Simplify (+ 0 1) into 1
0.247 * [backup-simplify]: Simplify (sqrt 1) into 1
0.248 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.248 * [backup-simplify]: Simplify (+ 0 0) into 0
0.249 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.249 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.249 * [taylor]: Taking taylor expansion of re in im
0.249 * [backup-simplify]: Simplify re into re
0.249 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.249 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.249 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.249 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.249 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.249 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.249 * [taylor]: Taking taylor expansion of re in re
0.249 * [backup-simplify]: Simplify 0 into 0
0.249 * [backup-simplify]: Simplify 1 into 1
0.249 * [backup-simplify]: Simplify (* 1 1) into 1
0.250 * [backup-simplify]: Simplify (/ 1 1) into 1
0.250 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.250 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.250 * [taylor]: Taking taylor expansion of im in re
0.250 * [backup-simplify]: Simplify im into im
0.250 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.250 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.250 * [backup-simplify]: Simplify (+ 1 0) into 1
0.250 * [backup-simplify]: Simplify (sqrt 1) into 1
0.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.252 * [backup-simplify]: Simplify (+ 0 0) into 0
0.253 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.253 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.253 * [taylor]: Taking taylor expansion of re in re
0.253 * [backup-simplify]: Simplify 0 into 0
0.253 * [backup-simplify]: Simplify 1 into 1
0.253 * [backup-simplify]: Simplify (/ 1 1) into 1
0.253 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.253 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.253 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.253 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.253 * [taylor]: Taking taylor expansion of re in re
0.253 * [backup-simplify]: Simplify 0 into 0
0.254 * [backup-simplify]: Simplify 1 into 1
0.254 * [backup-simplify]: Simplify (* 1 1) into 1
0.254 * [backup-simplify]: Simplify (/ 1 1) into 1
0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.254 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.254 * [taylor]: Taking taylor expansion of im in re
0.254 * [backup-simplify]: Simplify im into im
0.254 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.255 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.255 * [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
0.258 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
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
0.259 * [backup-simplify]: Simplify (/ 1 1) into 1
0.259 * [backup-simplify]: Simplify (- 1) into -1
0.259 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.259 * [taylor]: Taking taylor expansion of 0 in im
0.260 * [backup-simplify]: Simplify 0 into 0
0.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.261 * [backup-simplify]: Simplify (- 0) into 0
0.261 * [backup-simplify]: Simplify (+ 0 0) into 0
0.261 * [taylor]: Taking taylor expansion of 0 in im
0.261 * [backup-simplify]: Simplify 0 into 0
0.261 * [backup-simplify]: Simplify 0 into 0
0.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.263 * [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))
0.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.266 * [backup-simplify]: Simplify (- 0) into 0
0.266 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.266 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.266 * [taylor]: Taking taylor expansion of 1/2 in im
0.266 * [backup-simplify]: Simplify 1/2 into 1/2
0.266 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.266 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.266 * [taylor]: Taking taylor expansion of im in im
0.266 * [backup-simplify]: Simplify 0 into 0
0.266 * [backup-simplify]: Simplify 1 into 1
0.267 * [backup-simplify]: Simplify (* 1 1) into 1
0.267 * [backup-simplify]: Simplify (/ 1 1) into 1
0.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.269 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.269 * [backup-simplify]: Simplify 0 into 0
0.269 * [backup-simplify]: Simplify 0 into 0
0.269 * [backup-simplify]: Simplify 0 into 0
0.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.272 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.272 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.272 * [backup-simplify]: Simplify (+ 0 0) into 0
0.273 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.274 * [backup-simplify]: Simplify (- 0) into 0
0.275 * [backup-simplify]: Simplify (+ 0 0) into 0
0.275 * [taylor]: Taking taylor expansion of 0 in im
0.275 * [backup-simplify]: Simplify 0 into 0
0.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.278 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.278 * [backup-simplify]: Simplify 0 into 0
0.278 * [backup-simplify]: Simplify 0 into 0
0.278 * [backup-simplify]: Simplify 0 into 0
0.278 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
0.278 * [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))))))
0.278 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in (re im) around 0
0.278 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in im
0.278 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.278 * [taylor]: Taking taylor expansion of 2.0 in im
0.278 * [backup-simplify]: Simplify 2.0 into 2.0
0.279 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.280 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.280 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im
0.280 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
0.280 * [taylor]: Taking taylor expansion of re in im
0.280 * [backup-simplify]: Simplify re into re
0.280 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.280 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.280 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.280 * [taylor]: Taking taylor expansion of im in im
0.280 * [backup-simplify]: Simplify 0 into 0
0.280 * [backup-simplify]: Simplify 1 into 1
0.280 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.280 * [taylor]: Taking taylor expansion of re in im
0.280 * [backup-simplify]: Simplify re into re
0.280 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.280 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.280 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.281 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.281 * [backup-simplify]: Simplify (+ 0 0) into 0
0.281 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.281 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
0.281 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re))
0.282 * [backup-simplify]: Simplify (+ 0 0) into 0
0.282 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
0.282 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re
0.282 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.282 * [taylor]: Taking taylor expansion of 2.0 in re
0.282 * [backup-simplify]: Simplify 2.0 into 2.0
0.282 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.283 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.283 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re
0.283 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.283 * [taylor]: Taking taylor expansion of re in re
0.283 * [backup-simplify]: Simplify 0 into 0
0.283 * [backup-simplify]: Simplify 1 into 1
0.283 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.283 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.283 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.283 * [taylor]: Taking taylor expansion of im in re
0.283 * [backup-simplify]: Simplify im into im
0.283 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.283 * [taylor]: Taking taylor expansion of re in re
0.283 * [backup-simplify]: Simplify 0 into 0
0.283 * [backup-simplify]: Simplify 1 into 1
0.284 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.284 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.284 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.284 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.284 * [backup-simplify]: Simplify (+ 0 0) into 0
0.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.285 * [backup-simplify]: Simplify (+ 0 im) into im
0.285 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.285 * [backup-simplify]: Simplify (+ 1 0) into 1
0.285 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.285 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re
0.285 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.285 * [taylor]: Taking taylor expansion of 2.0 in re
0.285 * [backup-simplify]: Simplify 2.0 into 2.0
0.286 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.286 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.286 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re
0.286 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.286 * [taylor]: Taking taylor expansion of re in re
0.286 * [backup-simplify]: Simplify 0 into 0
0.287 * [backup-simplify]: Simplify 1 into 1
0.287 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.287 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.287 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.287 * [taylor]: Taking taylor expansion of im in re
0.287 * [backup-simplify]: Simplify im into im
0.287 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.287 * [taylor]: Taking taylor expansion of re in re
0.287 * [backup-simplify]: Simplify 0 into 0
0.287 * [backup-simplify]: Simplify 1 into 1
0.287 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.287 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.287 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.287 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.288 * [backup-simplify]: Simplify (+ 0 0) into 0
0.288 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.288 * [backup-simplify]: Simplify (+ 0 im) into im
0.288 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.288 * [backup-simplify]: Simplify (+ 1 0) into 1
0.288 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.289 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
0.289 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
0.289 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.289 * [taylor]: Taking taylor expansion of 2.0 in im
0.289 * [backup-simplify]: Simplify 2.0 into 2.0
0.289 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.290 * [taylor]: Taking taylor expansion of (sqrt im) in im
0.290 * [taylor]: Taking taylor expansion of im in im
0.290 * [backup-simplify]: Simplify 0 into 0
0.290 * [backup-simplify]: Simplify 1 into 1
0.291 * [backup-simplify]: Simplify (sqrt 0) into 0
0.292 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.293 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.293 * [backup-simplify]: Simplify 0 into 0
0.293 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
0.293 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
0.293 * [taylor]: Taking taylor expansion of 1/2 in im
0.293 * [backup-simplify]: Simplify 1/2 into 1/2
0.293 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
0.293 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.293 * [taylor]: Taking taylor expansion of 2.0 in im
0.293 * [backup-simplify]: Simplify 2.0 into 2.0
0.294 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.295 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.295 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
0.295 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.295 * [taylor]: Taking taylor expansion of im in im
0.295 * [backup-simplify]: Simplify 0 into 0
0.295 * [backup-simplify]: Simplify 1 into 1
0.295 * [backup-simplify]: Simplify (/ 1 1) into 1
0.295 * [backup-simplify]: Simplify (sqrt 0) into 0
0.297 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.299 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.299 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.301 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.302 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.303 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.304 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.305 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.305 * [backup-simplify]: Simplify (* 1 1) into 1
0.305 * [backup-simplify]: Simplify (+ 0 1) into 1
0.305 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.306 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.306 * [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))))
0.307 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.307 * [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)))))
0.307 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
0.307 * [taylor]: Taking taylor expansion of 1/8 in im
0.307 * [backup-simplify]: Simplify 1/8 into 1/8
0.307 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
0.307 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.307 * [taylor]: Taking taylor expansion of 2.0 in im
0.307 * [backup-simplify]: Simplify 2.0 into 2.0
0.308 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.308 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.308 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
0.308 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
0.308 * [taylor]: Taking taylor expansion of (pow im 3) in im
0.308 * [taylor]: Taking taylor expansion of im in im
0.308 * [backup-simplify]: Simplify 0 into 0
0.308 * [backup-simplify]: Simplify 1 into 1
0.308 * [backup-simplify]: Simplify (* 1 1) into 1
0.309 * [backup-simplify]: Simplify (* 1 1) into 1
0.309 * [backup-simplify]: Simplify (/ 1 1) into 1
0.309 * [backup-simplify]: Simplify (sqrt 0) into 0
0.310 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.313 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.314 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.315 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
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
0.320 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.321 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.323 * [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)))))))
0.324 * [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)))))))
0.324 * [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
0.324 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im
0.324 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.324 * [taylor]: Taking taylor expansion of 2.0 in im
0.324 * [backup-simplify]: Simplify 2.0 into 2.0
0.324 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.325 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.325 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
0.325 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
0.325 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.325 * [taylor]: Taking taylor expansion of re in im
0.325 * [backup-simplify]: Simplify re into re
0.325 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.325 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.325 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.325 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.325 * [taylor]: Taking taylor expansion of re in im
0.325 * [backup-simplify]: Simplify re into re
0.325 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.325 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.325 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.325 * [taylor]: Taking taylor expansion of im in im
0.325 * [backup-simplify]: Simplify 0 into 0
0.325 * [backup-simplify]: Simplify 1 into 1
0.325 * [backup-simplify]: Simplify (* 1 1) into 1
0.325 * [backup-simplify]: Simplify (/ 1 1) into 1
0.326 * [backup-simplify]: Simplify (+ 0 1) into 1
0.326 * [backup-simplify]: Simplify (sqrt 1) into 1
0.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.327 * [backup-simplify]: Simplify (+ 0 0) into 0
0.327 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.328 * [backup-simplify]: Simplify (+ 0 1) into 1
0.328 * [backup-simplify]: Simplify (sqrt 0) into 0
0.329 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.329 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re
0.329 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.329 * [taylor]: Taking taylor expansion of 2.0 in re
0.329 * [backup-simplify]: Simplify 2.0 into 2.0
0.329 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.330 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.330 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
0.330 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.330 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.330 * [taylor]: Taking taylor expansion of re in re
0.330 * [backup-simplify]: Simplify 0 into 0
0.330 * [backup-simplify]: Simplify 1 into 1
0.330 * [backup-simplify]: Simplify (/ 1 1) into 1
0.330 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.330 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.330 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.330 * [taylor]: Taking taylor expansion of re in re
0.330 * [backup-simplify]: Simplify 0 into 0
0.330 * [backup-simplify]: Simplify 1 into 1
0.330 * [backup-simplify]: Simplify (* 1 1) into 1
0.331 * [backup-simplify]: Simplify (/ 1 1) into 1
0.331 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.331 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.331 * [taylor]: Taking taylor expansion of im in re
0.331 * [backup-simplify]: Simplify im into im
0.331 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.331 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.332 * [backup-simplify]: Simplify (+ 1 0) into 1
0.332 * [backup-simplify]: Simplify (sqrt 1) into 1
0.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.336 * [backup-simplify]: Simplify (+ 0 0) into 0
0.336 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.337 * [backup-simplify]: Simplify (+ 1 1) into 2
0.337 * [backup-simplify]: Simplify (sqrt 0) into 0
0.338 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.338 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re
0.338 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.338 * [taylor]: Taking taylor expansion of 2.0 in re
0.338 * [backup-simplify]: Simplify 2.0 into 2.0
0.339 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.339 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.339 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
0.339 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.340 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.340 * [taylor]: Taking taylor expansion of re in re
0.340 * [backup-simplify]: Simplify 0 into 0
0.340 * [backup-simplify]: Simplify 1 into 1
0.340 * [backup-simplify]: Simplify (/ 1 1) into 1
0.340 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.340 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.340 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.340 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.340 * [taylor]: Taking taylor expansion of re in re
0.340 * [backup-simplify]: Simplify 0 into 0
0.340 * [backup-simplify]: Simplify 1 into 1
0.340 * [backup-simplify]: Simplify (* 1 1) into 1
0.341 * [backup-simplify]: Simplify (/ 1 1) into 1
0.341 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.341 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.341 * [taylor]: Taking taylor expansion of im in re
0.341 * [backup-simplify]: Simplify im into im
0.341 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.341 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.342 * [backup-simplify]: Simplify (+ 1 0) into 1
0.342 * [backup-simplify]: Simplify (sqrt 1) into 1
0.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.344 * [backup-simplify]: Simplify (+ 0 0) into 0
0.344 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.345 * [backup-simplify]: Simplify (+ 1 1) into 2
0.345 * [backup-simplify]: Simplify (sqrt 0) into 0
0.346 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.347 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.347 * [taylor]: Taking taylor expansion of 0 in im
0.347 * [backup-simplify]: Simplify 0 into 0
0.349 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.349 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.349 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.349 * [taylor]: Taking taylor expansion of +nan.0 in im
0.349 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.349 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.349 * [taylor]: Taking taylor expansion of 2.0 in im
0.349 * [backup-simplify]: Simplify 2.0 into 2.0
0.350 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.350 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.350 * [backup-simplify]: Simplify 0 into 0
0.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.351 * [backup-simplify]: Simplify (+ 0 0) into 0
0.354 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.355 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.358 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.358 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.358 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.358 * [taylor]: Taking taylor expansion of +nan.0 in im
0.358 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.358 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.358 * [taylor]: Taking taylor expansion of 2.0 in im
0.358 * [backup-simplify]: Simplify 2.0 into 2.0
0.358 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.359 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.360 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.361 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.363 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.363 * [backup-simplify]: Simplify 0 into 0
0.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.364 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.365 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.365 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.367 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
0.367 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.368 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))))
0.368 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
0.368 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
0.368 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.369 * [taylor]: Taking taylor expansion of +nan.0 in im
0.369 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.369 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.369 * [taylor]: Taking taylor expansion of 2.0 in im
0.369 * [backup-simplify]: Simplify 2.0 into 2.0
0.369 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.369 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.369 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.369 * [taylor]: Taking taylor expansion of +nan.0 in im
0.369 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.369 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.369 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.369 * [taylor]: Taking taylor expansion of 2.0 in im
0.369 * [backup-simplify]: Simplify 2.0 into 2.0
0.370 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.370 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.370 * [taylor]: Taking taylor expansion of im in im
0.370 * [backup-simplify]: Simplify 0 into 0
0.370 * [backup-simplify]: Simplify 1 into 1
0.370 * [backup-simplify]: Simplify (* 1 1) into 1
0.371 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.372 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.372 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.373 * [backup-simplify]: Simplify (- 0) into 0
0.373 * [backup-simplify]: Simplify (+ 0 0) into 0
0.373 * [backup-simplify]: Simplify (- 0) into 0
0.373 * [backup-simplify]: Simplify 0 into 0
0.374 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.375 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.375 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.376 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.376 * [backup-simplify]: Simplify (- 0) into 0
0.376 * [backup-simplify]: Simplify 0 into 0
0.376 * [backup-simplify]: Simplify 0 into 0
0.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.378 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.378 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.379 * [backup-simplify]: Simplify (+ 0 0) into 0
0.379 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.379 * [backup-simplify]: Simplify (+ 0 0) into 0
0.380 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
0.381 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.382 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))))
0.382 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
0.382 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
0.382 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.382 * [taylor]: Taking taylor expansion of +nan.0 in im
0.382 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.382 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.382 * [taylor]: Taking taylor expansion of 2.0 in im
0.382 * [backup-simplify]: Simplify 2.0 into 2.0
0.383 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.383 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.383 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.383 * [taylor]: Taking taylor expansion of +nan.0 in im
0.383 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.383 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.383 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.383 * [taylor]: Taking taylor expansion of 2.0 in im
0.383 * [backup-simplify]: Simplify 2.0 into 2.0
0.383 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.384 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.384 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.384 * [taylor]: Taking taylor expansion of im in im
0.384 * [backup-simplify]: Simplify 0 into 0
0.384 * [backup-simplify]: Simplify 1 into 1
0.384 * [backup-simplify]: Simplify (* 1 1) into 1
0.385 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.386 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.386 * [backup-simplify]: Simplify (- 0) into 0
0.387 * [backup-simplify]: Simplify (+ 0 0) into 0
0.387 * [backup-simplify]: Simplify (- 0) into 0
0.387 * [backup-simplify]: Simplify 0 into 0
0.387 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.388 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.389 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.390 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.390 * [backup-simplify]: Simplify (- 0) into 0
0.391 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
0.393 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.395 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.399 * [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))))))))
0.400 * [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))))
0.400 * [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
0.400 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im
0.400 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.400 * [taylor]: Taking taylor expansion of 2.0 in im
0.400 * [backup-simplify]: Simplify 2.0 into 2.0
0.400 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.401 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.401 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im
0.401 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
0.401 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.401 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.401 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.401 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.401 * [taylor]: Taking taylor expansion of re in im
0.401 * [backup-simplify]: Simplify re into re
0.401 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.402 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.402 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.402 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.402 * [taylor]: Taking taylor expansion of im in im
0.402 * [backup-simplify]: Simplify 0 into 0
0.402 * [backup-simplify]: Simplify 1 into 1
0.402 * [backup-simplify]: Simplify (* 1 1) into 1
0.402 * [backup-simplify]: Simplify (/ 1 1) into 1
0.403 * [backup-simplify]: Simplify (+ 0 1) into 1
0.403 * [backup-simplify]: Simplify (sqrt 1) into 1
0.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.405 * [backup-simplify]: Simplify (+ 0 0) into 0
0.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.405 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.406 * [taylor]: Taking taylor expansion of re in im
0.406 * [backup-simplify]: Simplify re into re
0.406 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.406 * [backup-simplify]: Simplify (+ 1 0) into 1
0.406 * [backup-simplify]: Simplify (sqrt 0) into 0
0.408 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.408 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re
0.408 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.408 * [taylor]: Taking taylor expansion of 2.0 in re
0.408 * [backup-simplify]: Simplify 2.0 into 2.0
0.409 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.409 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.409 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
0.409 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.409 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.409 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.409 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.409 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.410 * [taylor]: Taking taylor expansion of re in re
0.410 * [backup-simplify]: Simplify 0 into 0
0.410 * [backup-simplify]: Simplify 1 into 1
0.410 * [backup-simplify]: Simplify (* 1 1) into 1
0.410 * [backup-simplify]: Simplify (/ 1 1) into 1
0.410 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.410 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.410 * [taylor]: Taking taylor expansion of im in re
0.411 * [backup-simplify]: Simplify im into im
0.411 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.411 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.411 * [backup-simplify]: Simplify (+ 1 0) into 1
0.412 * [backup-simplify]: Simplify (sqrt 1) into 1
0.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.413 * [backup-simplify]: Simplify (+ 0 0) into 0
0.414 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.414 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.414 * [taylor]: Taking taylor expansion of re in re
0.414 * [backup-simplify]: Simplify 0 into 0
0.414 * [backup-simplify]: Simplify 1 into 1
0.415 * [backup-simplify]: Simplify (/ 1 1) into 1
0.415 * [backup-simplify]: Simplify (- 1) into -1
0.415 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.417 * [backup-simplify]: Simplify (- 0) into 0
0.417 * [backup-simplify]: Simplify (+ 0 0) into 0
0.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.419 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.421 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.422 * [backup-simplify]: Simplify (- 0) into 0
0.422 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.423 * [backup-simplify]: Simplify (sqrt 0) into 0
0.423 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.423 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re
0.424 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.424 * [taylor]: Taking taylor expansion of 2.0 in re
0.424 * [backup-simplify]: Simplify 2.0 into 2.0
0.424 * [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 re
0.425 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.425 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.425 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.425 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.425 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.425 * [taylor]: Taking taylor expansion of re in re
0.425 * [backup-simplify]: Simplify 0 into 0
0.425 * [backup-simplify]: Simplify 1 into 1
0.425 * [backup-simplify]: Simplify (* 1 1) into 1
0.426 * [backup-simplify]: Simplify (/ 1 1) into 1
0.426 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.426 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.426 * [taylor]: Taking taylor expansion of im in re
0.426 * [backup-simplify]: Simplify im into im
0.426 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.426 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.427 * [backup-simplify]: Simplify (+ 1 0) 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 re
0.430 * [taylor]: Taking taylor expansion of re in re
0.430 * [backup-simplify]: Simplify 0 into 0
0.430 * [backup-simplify]: Simplify 1 into 1
0.430 * [backup-simplify]: Simplify (/ 1 1) into 1
0.431 * [backup-simplify]: Simplify (- 1) into -1
0.431 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.432 * [backup-simplify]: Simplify (- 0) into 0
0.433 * [backup-simplify]: Simplify (+ 0 0) into 0
0.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.435 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.436 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.437 * [backup-simplify]: Simplify (- 0) into 0
0.438 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.438 * [backup-simplify]: Simplify (sqrt 0) into 0
0.439 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.439 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.439 * [taylor]: Taking taylor expansion of 0 in im
0.439 * [backup-simplify]: Simplify 0 into 0
0.440 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
0.440 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.440 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.440 * [taylor]: Taking taylor expansion of +nan.0 in im
0.441 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.441 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.441 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.441 * [taylor]: Taking taylor expansion of 2.0 in im
0.441 * [backup-simplify]: Simplify 2.0 into 2.0
0.441 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.442 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.442 * [taylor]: Taking taylor expansion of im in im
0.442 * [backup-simplify]: Simplify 0 into 0
0.442 * [backup-simplify]: Simplify 1 into 1
0.442 * [backup-simplify]: Simplify (* 1 1) into 1
0.443 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.445 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.446 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.446 * [backup-simplify]: Simplify (- 0) into 0
0.446 * [backup-simplify]: Simplify 0 into 0
0.446 * [backup-simplify]: Simplify 0 into 0
0.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.449 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.449 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.450 * [backup-simplify]: Simplify (+ 0 0) into 0
0.451 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.451 * [backup-simplify]: Simplify (- 0) into 0
0.451 * [backup-simplify]: Simplify (+ 0 0) into 0
0.452 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
0.453 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.453 * [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))))
0.454 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
0.454 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.454 * [taylor]: Taking taylor expansion of +nan.0 in im
0.454 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.454 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.454 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.454 * [taylor]: Taking taylor expansion of 2.0 in im
0.454 * [backup-simplify]: Simplify 2.0 into 2.0
0.454 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.454 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.454 * [taylor]: Taking taylor expansion of im in im
0.454 * [backup-simplify]: Simplify 0 into 0
0.454 * [backup-simplify]: Simplify 1 into 1
0.455 * [backup-simplify]: Simplify (* 1 1) into 1
0.455 * [backup-simplify]: Simplify (* 1 1) into 1
0.457 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.458 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.459 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.460 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.461 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.462 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.463 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.463 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.464 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.464 * [backup-simplify]: Simplify (- 0) into 0
0.464 * [backup-simplify]: Simplify 0 into 0
0.465 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.467 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.467 * [backup-simplify]: Simplify (- 0) into 0
0.467 * [backup-simplify]: Simplify 0 into 0
0.467 * [backup-simplify]: Simplify 0 into 0
0.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.469 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.469 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.469 * [backup-simplify]: Simplify (+ 0 0) into 0
0.470 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
0.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.471 * [backup-simplify]: Simplify (- 0) into 0
0.471 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
0.472 * [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)))))
0.473 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.473 * [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))))))
0.474 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
0.474 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
0.474 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.474 * [taylor]: Taking taylor expansion of +nan.0 in im
0.474 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.474 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.474 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.474 * [taylor]: Taking taylor expansion of 2.0 in im
0.474 * [backup-simplify]: Simplify 2.0 into 2.0
0.474 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.474 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.474 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.474 * [taylor]: Taking taylor expansion of im in im
0.474 * [backup-simplify]: Simplify 0 into 0
0.474 * [backup-simplify]: Simplify 1 into 1
0.475 * [backup-simplify]: Simplify (* 1 1) into 1
0.475 * [backup-simplify]: Simplify (* 1 1) into 1
0.475 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.475 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
0.476 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
0.476 * [taylor]: Taking taylor expansion of +nan.0 in im
0.476 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.476 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
0.476 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.476 * [taylor]: Taking taylor expansion of 2.0 in im
0.476 * [backup-simplify]: Simplify 2.0 into 2.0
0.476 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.476 * [taylor]: Taking taylor expansion of (pow im 6) in im
0.476 * [taylor]: Taking taylor expansion of im in im
0.476 * [backup-simplify]: Simplify 0 into 0
0.476 * [backup-simplify]: Simplify 1 into 1
0.477 * [backup-simplify]: Simplify (* 1 1) into 1
0.477 * [backup-simplify]: Simplify (* 1 1) into 1
0.477 * [backup-simplify]: Simplify (* 1 1) into 1
0.478 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.478 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.479 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.480 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.481 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.482 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.484 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.485 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.486 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.487 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.488 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.490 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.491 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.498 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.503 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.504 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.508 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 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)) (* 0 (/ 0 1)))) into 0
0.513 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.515 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
0.515 * [backup-simplify]: Simplify (- 0) into 0
0.515 * [backup-simplify]: Simplify (+ 0 0) into 0
0.516 * [backup-simplify]: Simplify (- 0) into 0
0.516 * [backup-simplify]: Simplify 0 into 0
0.516 * [backup-simplify]: Simplify 0 into 0
0.516 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1)
0.516 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow im 2) (pow re 2))
0.516 * [approximate]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in (re im) around 0
0.516 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.516 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.516 * [taylor]: Taking taylor expansion of im in im
0.516 * [backup-simplify]: Simplify 0 into 0
0.516 * [backup-simplify]: Simplify 1 into 1
0.516 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.516 * [taylor]: Taking taylor expansion of re in im
0.517 * [backup-simplify]: Simplify re into re
0.517 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.517 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.517 * [taylor]: Taking taylor expansion of im in re
0.517 * [backup-simplify]: Simplify im into im
0.517 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.517 * [taylor]: Taking taylor expansion of re in re
0.517 * [backup-simplify]: Simplify 0 into 0
0.517 * [backup-simplify]: Simplify 1 into 1
0.517 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.517 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.517 * [taylor]: Taking taylor expansion of im in re
0.517 * [backup-simplify]: Simplify im into im
0.517 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.517 * [taylor]: Taking taylor expansion of re in re
0.517 * [backup-simplify]: Simplify 0 into 0
0.517 * [backup-simplify]: Simplify 1 into 1
0.517 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.517 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.517 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.517 * [taylor]: Taking taylor expansion of im in im
0.517 * [backup-simplify]: Simplify 0 into 0
0.517 * [backup-simplify]: Simplify 1 into 1
0.517 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.518 * [backup-simplify]: Simplify (+ 0 0) into 0
0.518 * [taylor]: Taking taylor expansion of 0 in im
0.518 * [backup-simplify]: Simplify 0 into 0
0.518 * [backup-simplify]: Simplify 0 into 0
0.519 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.519 * [backup-simplify]: Simplify (* 1 1) into 1
0.520 * [backup-simplify]: Simplify (+ 0 1) into 1
0.520 * [taylor]: Taking taylor expansion of 1 in im
0.520 * [backup-simplify]: Simplify 1 into 1
0.520 * [backup-simplify]: Simplify 1 into 1
0.520 * [backup-simplify]: Simplify 0 into 0
0.520 * [backup-simplify]: Simplify (* 1 1) into 1
0.520 * [backup-simplify]: Simplify 1 into 1
0.521 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.522 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.522 * [backup-simplify]: Simplify (+ 0 0) into 0
0.522 * [taylor]: Taking taylor expansion of 0 in im
0.522 * [backup-simplify]: Simplify 0 into 0
0.522 * [backup-simplify]: Simplify 0 into 0
0.522 * [backup-simplify]: Simplify 0 into 0
0.522 * [backup-simplify]: Simplify 0 into 0
0.523 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.523 * [backup-simplify]: Simplify 0 into 0
0.524 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0
0.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.526 * [backup-simplify]: Simplify (+ 0 0) into 0
0.526 * [taylor]: Taking taylor expansion of 0 in im
0.526 * [backup-simplify]: Simplify 0 into 0
0.526 * [backup-simplify]: Simplify 0 into 0
0.526 * [backup-simplify]: Simplify 0 into 0
0.526 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow im 2) (pow re 2))
0.526 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))
0.527 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0
0.527 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.527 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.527 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.527 * [taylor]: Taking taylor expansion of re in im
0.527 * [backup-simplify]: Simplify re into re
0.527 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.527 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.527 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.527 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.527 * [taylor]: Taking taylor expansion of im in im
0.527 * [backup-simplify]: Simplify 0 into 0
0.527 * [backup-simplify]: Simplify 1 into 1
0.528 * [backup-simplify]: Simplify (* 1 1) into 1
0.528 * [backup-simplify]: Simplify (/ 1 1) into 1
0.528 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.528 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.528 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.528 * [taylor]: Taking taylor expansion of re in re
0.528 * [backup-simplify]: Simplify 0 into 0
0.528 * [backup-simplify]: Simplify 1 into 1
0.528 * [backup-simplify]: Simplify (* 1 1) into 1
0.529 * [backup-simplify]: Simplify (/ 1 1) into 1
0.529 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.529 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.529 * [taylor]: Taking taylor expansion of im in re
0.529 * [backup-simplify]: Simplify im into im
0.529 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.529 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.529 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.529 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.529 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.529 * [taylor]: Taking taylor expansion of re in re
0.529 * [backup-simplify]: Simplify 0 into 0
0.529 * [backup-simplify]: Simplify 1 into 1
0.530 * [backup-simplify]: Simplify (* 1 1) into 1
0.530 * [backup-simplify]: Simplify (/ 1 1) into 1
0.530 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.530 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.530 * [taylor]: Taking taylor expansion of im in re
0.530 * [backup-simplify]: Simplify im into im
0.530 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.531 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.531 * [backup-simplify]: Simplify (+ 1 0) into 1
0.531 * [taylor]: Taking taylor expansion of 1 in im
0.531 * [backup-simplify]: Simplify 1 into 1
0.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.533 * [backup-simplify]: Simplify (+ 0 0) into 0
0.533 * [taylor]: Taking taylor expansion of 0 in im
0.533 * [backup-simplify]: Simplify 0 into 0
0.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.535 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.535 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.535 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.535 * [taylor]: Taking taylor expansion of im in im
0.535 * [backup-simplify]: Simplify 0 into 0
0.535 * [backup-simplify]: Simplify 1 into 1
0.535 * [backup-simplify]: Simplify (* 1 1) into 1
0.535 * [backup-simplify]: Simplify (/ 1 1) into 1
0.535 * [backup-simplify]: Simplify 1 into 1
0.536 * [backup-simplify]: Simplify 1 into 1
0.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.537 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.537 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.537 * [backup-simplify]: Simplify (+ 0 0) into 0
0.537 * [taylor]: Taking taylor expansion of 0 in im
0.537 * [backup-simplify]: Simplify 0 into 0
0.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.538 * [backup-simplify]: Simplify 0 into 0
0.538 * [backup-simplify]: Simplify 0 into 0
0.538 * [backup-simplify]: Simplify 0 into 0
0.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.540 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.540 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.540 * [backup-simplify]: Simplify (+ 0 0) into 0
0.540 * [taylor]: Taking taylor expansion of 0 in im
0.540 * [backup-simplify]: Simplify 0 into 0
0.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.541 * [backup-simplify]: Simplify 0 into 0
0.541 * [backup-simplify]: Simplify 0 into 0
0.541 * [backup-simplify]: Simplify 0 into 0
0.542 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow im 2) (pow re 2))
0.542 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))
0.542 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0
0.542 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.542 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.542 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.542 * [taylor]: Taking taylor expansion of re in im
0.542 * [backup-simplify]: Simplify re into re
0.542 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.542 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.542 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.542 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.542 * [taylor]: Taking taylor expansion of im in im
0.542 * [backup-simplify]: Simplify 0 into 0
0.542 * [backup-simplify]: Simplify 1 into 1
0.542 * [backup-simplify]: Simplify (* 1 1) into 1
0.543 * [backup-simplify]: Simplify (/ 1 1) into 1
0.543 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.543 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.543 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.543 * [taylor]: Taking taylor expansion of re in re
0.543 * [backup-simplify]: Simplify 0 into 0
0.543 * [backup-simplify]: Simplify 1 into 1
0.543 * [backup-simplify]: Simplify (* 1 1) into 1
0.543 * [backup-simplify]: Simplify (/ 1 1) into 1
0.543 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.543 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.543 * [taylor]: Taking taylor expansion of im in re
0.543 * [backup-simplify]: Simplify im into im
0.543 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.543 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.544 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.544 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.544 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.544 * [taylor]: Taking taylor expansion of re in re
0.544 * [backup-simplify]: Simplify 0 into 0
0.544 * [backup-simplify]: Simplify 1 into 1
0.544 * [backup-simplify]: Simplify (* 1 1) into 1
0.544 * [backup-simplify]: Simplify (/ 1 1) into 1
0.544 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.544 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.544 * [taylor]: Taking taylor expansion of im in re
0.544 * [backup-simplify]: Simplify im into im
0.544 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.544 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.545 * [backup-simplify]: Simplify (+ 1 0) into 1
0.545 * [taylor]: Taking taylor expansion of 1 in im
0.545 * [backup-simplify]: Simplify 1 into 1
0.545 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.547 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.547 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.547 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.547 * [taylor]: Taking taylor expansion of im in im
0.547 * [backup-simplify]: Simplify 0 into 0
0.547 * [backup-simplify]: Simplify 1 into 1
0.548 * [backup-simplify]: Simplify (* 1 1) into 1
0.548 * [backup-simplify]: Simplify (/ 1 1) into 1
0.548 * [backup-simplify]: Simplify 1 into 1
0.548 * [backup-simplify]: Simplify 1 into 1
0.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.549 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.549 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) 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 (+ (* 1 0) (* 0 1)) into 0
0.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.551 * [backup-simplify]: Simplify 0 into 0
0.551 * [backup-simplify]: Simplify 0 into 0
0.551 * [backup-simplify]: Simplify 0 into 0
0.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.552 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.552 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.553 * [backup-simplify]: Simplify (+ 0 0) into 0
0.553 * [taylor]: Taking taylor expansion of 0 in im
0.553 * [backup-simplify]: Simplify 0 into 0
0.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.554 * [backup-simplify]: Simplify 0 into 0
0.554 * [backup-simplify]: Simplify 0 into 0
0.554 * [backup-simplify]: Simplify 0 into 0
0.554 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow im 2) (pow re 2))
0.554 * * * [progress]: simplifying candidates
0.555 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (* (exp (sqrt (+ (* re re) (* im im)))) (exp re))
  (log (+ (sqrt (+ (* re re) (* im im))) re))
  (exp (+ (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (+ (sqrt (+ (* re re) (* im im))) re))
  (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))
  (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))
  (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (+ (* re re) (* im im))) re)
  (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))
  (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (* (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (sqrt 2.0)
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))
  (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (exp (* re re)) (exp (* im im)))
  (log (+ (* re re) (* im im)))
  (exp (+ (* re re) (* im im)))
  (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))
  (cbrt (+ (* re re) (* im im)))
  (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (+ (pow (* re re) 3) (pow (* im im) 3))
  (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))
  (- (* (* re re) (* re re)) (* (* im im) (* im im)))
  (- (* re re) (* im im))
  im
  re
  (* -1 re)
  (+ re im)
  (* 2 re)
  0
  (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re)))))))
  (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
  0
  (+ (pow im 2) (pow re 2))
  (+ (pow im 2) (pow re 2))
  (+ (pow im 2) (pow re 2))
0.556 * * [simplify]: iteration 0: 108 enodes
0.579 * * [simplify]: iteration 1: 276 enodes
0.671 * * [simplify]: iteration 2: 805 enodes
1.151 * * [simplify]: iteration 3: 2938 enodes
2.129 * * [simplify]: iteration complete: 5000 enodes
2.129 * * [simplify]: Extracting #0: cost 55 inf + 0
2.130 * * [simplify]: Extracting #1: cost 249 inf + 46
2.136 * * [simplify]: Extracting #2: cost 1216 inf + 2304
2.162 * * [simplify]: Extracting #3: cost 1139 inf + 57814
2.210 * * [simplify]: Extracting #4: cost 285 inf + 194167
2.271 * * [simplify]: Extracting #5: cost 93 inf + 249187
2.367 * * [simplify]: Extracting #6: cost 39 inf + 264750
2.452 * * [simplify]: Extracting #7: cost 2 inf + 273121
2.557 * * [simplify]: Extracting #8: cost 0 inf + 273707
2.632 * [simplify]: Simplified to:
  (log (sqrt (+ (* im im) (* re re))))
  (exp (sqrt (+ (* im im) (* re re))))
  (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re)))))
  (cbrt (sqrt (+ (* im im) (* re re))))
  (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re)))
  (fabs (cbrt (+ (* im im) (* re re))))
  (sqrt (cbrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  1
  (sqrt (+ (* im im) (* re re)))
  (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im (* im im)) (* im (* im im)))))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re))))
  (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im))))
  (sqrt (* (- re im) (+ re im)))
  1/2
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (exp (+ re (sqrt (+ (* im im) (* re re)))))
  (log (+ (sqrt (+ (* im im) (* re re))) re))
  (exp (+ re (sqrt (+ (* im im) (* re re)))))
  (* (cbrt (+ (sqrt (+ (* im im) (* re re))) re)) (cbrt (+ (sqrt (+ (* im im) (* re re))) re)))
  (cbrt (+ (sqrt (+ (* im im) (* re re))) re))
  (* (+ (sqrt (+ (* im im) (* re re))) re) (* (+ (sqrt (+ (* im im) (* re re))) re) (+ (sqrt (+ (* im im) (* re re))) re)))
  (sqrt (+ (sqrt (+ (* im im) (* re re))) re))
  (sqrt (+ (sqrt (+ (* im im) (* re re))) re))
  (+ (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* (* re re) re))
  (+ (- (+ (* im im) (* re re)) (* (sqrt (+ (* im im) (* re re))) re)) (* re re))
  (* im im)
  (- (sqrt (+ (* im im) (* re re))) re)
  (+ (sqrt (+ (* im im) (* re re))) re)
  (log (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)))
  (exp (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)))
  (* (cbrt (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0))) (cbrt (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0))))
  (cbrt (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)))
  (* (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)) (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0))
  (sqrt 2.0)
  (sqrt (+ (sqrt (+ (* im im) (* re re))) re))
  (sqrt (* (+ (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* (* re re) re)) 2.0))
  (sqrt (+ (- (+ (* im im) (* re re)) (* (sqrt (+ (* im im) (* re re))) re)) (* re re)))
  (sqrt (* 2.0 (* im im)))
  (sqrt (- (sqrt (+ (* im im) (* re re))) re))
  1/2
  1/2
  (sqrt (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)))
  (sqrt (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)))
  (exp (+ (* im im) (* re re)))
  (log (+ (* im im) (* re re)))
  (exp (+ (* im im) (* re re)))
  (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (* im im) (* re re))))
  (cbrt (+ (* im im) (* re re)))
  (* (* (+ (* im im) (* re re)) (+ (* im im) (* re re))) (+ (* im im) (* re re)))
  (sqrt (+ (* im im) (* re re)))
  (sqrt (+ (* im im) (* re re)))
  (+ (* (* re re) (* (* re re) (* re re))) (* (* im (* im im)) (* im (* im im))))
  (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re)))
  (* (+ (* re re) (* im im)) (- (* re re) (* im im)))
  (* (- re im) (+ re im))
  im
  re
  (- re)
  (+ re im)
  (* re 2)
  0
  (* (* (sqrt 2.0) +nan.0) (+ (* re (- re)) (- im re)))
  (+ (- (* (sqrt 2.0) +nan.0)) (* +nan.0 (- (/ (sqrt 2.0) re) (/ (sqrt 2.0) (* re re)))))
  0
  (+ (* im im) (* re re))
  (+ (* im im) (* re re))
  (+ (* im im) (* re re))
2.637 * * * [progress]: adding candidates to table
3.058 * * [progress]: iteration 2 / 4
3.059 * * * [progress]: picking best candidate
3.099 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))>
3.099 * * * [progress]: localizing error
3.132 * * * [progress]: generating rewritten candidates
3.132 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1)
3.139 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2)
3.189 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
3.229 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2)
3.296 * * * [progress]: generating series expansions
3.296 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1)
3.296 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
3.296 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
3.296 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
3.296 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
3.296 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.296 * [taylor]: Taking taylor expansion of im in im
3.296 * [backup-simplify]: Simplify 0 into 0
3.296 * [backup-simplify]: Simplify 1 into 1
3.296 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.296 * [taylor]: Taking taylor expansion of re in im
3.296 * [backup-simplify]: Simplify re into re
3.296 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.296 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
3.297 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.297 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.297 * [backup-simplify]: Simplify (+ 0 0) into 0
3.298 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.298 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.298 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.298 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.298 * [taylor]: Taking taylor expansion of im in re
3.298 * [backup-simplify]: Simplify im into im
3.298 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.298 * [taylor]: Taking taylor expansion of re in re
3.298 * [backup-simplify]: Simplify 0 into 0
3.298 * [backup-simplify]: Simplify 1 into 1
3.298 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.298 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.298 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.298 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.299 * [backup-simplify]: Simplify (+ 0 0) into 0
3.299 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.299 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.299 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.299 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.299 * [taylor]: Taking taylor expansion of im in re
3.299 * [backup-simplify]: Simplify im into im
3.299 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.299 * [taylor]: Taking taylor expansion of re in re
3.299 * [backup-simplify]: Simplify 0 into 0
3.299 * [backup-simplify]: Simplify 1 into 1
3.299 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.299 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.299 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.299 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.299 * [backup-simplify]: Simplify (+ 0 0) into 0
3.300 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.300 * [taylor]: Taking taylor expansion of im in im
3.300 * [backup-simplify]: Simplify 0 into 0
3.300 * [backup-simplify]: Simplify 1 into 1
3.300 * [backup-simplify]: Simplify 0 into 0
3.300 * [taylor]: Taking taylor expansion of 0 in im
3.300 * [backup-simplify]: Simplify 0 into 0
3.300 * [backup-simplify]: Simplify 0 into 0
3.300 * [backup-simplify]: Simplify 1 into 1
3.300 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.300 * [backup-simplify]: Simplify (* 1 1) into 1
3.301 * [backup-simplify]: Simplify (+ 0 1) into 1
3.301 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.301 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
3.301 * [taylor]: Taking taylor expansion of 1/2 in im
3.301 * [backup-simplify]: Simplify 1/2 into 1/2
3.301 * [taylor]: Taking taylor expansion of im in im
3.301 * [backup-simplify]: Simplify 0 into 0
3.301 * [backup-simplify]: Simplify 1 into 1
3.301 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.302 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.302 * [backup-simplify]: Simplify 0 into 0
3.302 * [backup-simplify]: Simplify 0 into 0
3.302 * [backup-simplify]: Simplify 0 into 0
3.303 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.303 * [backup-simplify]: Simplify (+ 0 0) into 0
3.303 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.303 * [taylor]: Taking taylor expansion of 0 in im
3.303 * [backup-simplify]: Simplify 0 into 0
3.303 * [backup-simplify]: Simplify 0 into 0
3.304 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.304 * [backup-simplify]: Simplify 0 into 0
3.304 * [backup-simplify]: Simplify 0 into 0
3.304 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
3.304 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
3.304 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
3.304 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.304 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.304 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.304 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.304 * [taylor]: Taking taylor expansion of re in im
3.304 * [backup-simplify]: Simplify re into re
3.304 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.304 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.304 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.304 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.305 * [taylor]: Taking taylor expansion of im in im
3.305 * [backup-simplify]: Simplify 0 into 0
3.305 * [backup-simplify]: Simplify 1 into 1
3.305 * [backup-simplify]: Simplify (* 1 1) into 1
3.305 * [backup-simplify]: Simplify (/ 1 1) into 1
3.305 * [backup-simplify]: Simplify (+ 0 1) into 1
3.305 * [backup-simplify]: Simplify (sqrt 1) into 1
3.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.307 * [backup-simplify]: Simplify (+ 0 0) into 0
3.307 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.307 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.307 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.307 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.307 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.307 * [taylor]: Taking taylor expansion of re in re
3.307 * [backup-simplify]: Simplify 0 into 0
3.307 * [backup-simplify]: Simplify 1 into 1
3.307 * [backup-simplify]: Simplify (* 1 1) into 1
3.308 * [backup-simplify]: Simplify (/ 1 1) into 1
3.308 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.308 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.308 * [taylor]: Taking taylor expansion of im in re
3.308 * [backup-simplify]: Simplify im into im
3.308 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.308 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.308 * [backup-simplify]: Simplify (+ 1 0) into 1
3.308 * [backup-simplify]: Simplify (sqrt 1) into 1
3.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.309 * [backup-simplify]: Simplify (+ 0 0) into 0
3.310 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.310 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.310 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.310 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.310 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.310 * [taylor]: Taking taylor expansion of re in re
3.310 * [backup-simplify]: Simplify 0 into 0
3.310 * [backup-simplify]: Simplify 1 into 1
3.310 * [backup-simplify]: Simplify (* 1 1) into 1
3.310 * [backup-simplify]: Simplify (/ 1 1) into 1
3.310 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.310 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.310 * [taylor]: Taking taylor expansion of im in re
3.310 * [backup-simplify]: Simplify im into im
3.310 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.311 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.311 * [backup-simplify]: Simplify (+ 1 0) into 1
3.311 * [backup-simplify]: Simplify (sqrt 1) into 1
3.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.312 * [backup-simplify]: Simplify (+ 0 0) into 0
3.313 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.313 * [taylor]: Taking taylor expansion of 1 in im
3.313 * [backup-simplify]: Simplify 1 into 1
3.313 * [taylor]: Taking taylor expansion of 0 in im
3.313 * [backup-simplify]: Simplify 0 into 0
3.313 * [backup-simplify]: Simplify 1 into 1
3.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.314 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.315 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.315 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.315 * [taylor]: Taking taylor expansion of 1/2 in im
3.315 * [backup-simplify]: Simplify 1/2 into 1/2
3.315 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.315 * [taylor]: Taking taylor expansion of im in im
3.315 * [backup-simplify]: Simplify 0 into 0
3.315 * [backup-simplify]: Simplify 1 into 1
3.315 * [backup-simplify]: Simplify (* 1 1) into 1
3.315 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.316 * [backup-simplify]: Simplify 0 into 0
3.316 * [backup-simplify]: Simplify 0 into 0
3.316 * [backup-simplify]: Simplify 0 into 0
3.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.317 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.318 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.318 * [backup-simplify]: Simplify (+ 0 0) into 0
3.318 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.318 * [taylor]: Taking taylor expansion of 0 in im
3.318 * [backup-simplify]: Simplify 0 into 0
3.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.319 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.319 * [backup-simplify]: Simplify 0 into 0
3.319 * [backup-simplify]: Simplify 0 into 0
3.319 * [backup-simplify]: Simplify 0 into 0
3.320 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
3.320 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
3.320 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
3.320 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.320 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.320 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.320 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.320 * [taylor]: Taking taylor expansion of re in im
3.320 * [backup-simplify]: Simplify re into re
3.320 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.320 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.320 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.320 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.320 * [taylor]: Taking taylor expansion of im in im
3.320 * [backup-simplify]: Simplify 0 into 0
3.320 * [backup-simplify]: Simplify 1 into 1
3.320 * [backup-simplify]: Simplify (* 1 1) into 1
3.321 * [backup-simplify]: Simplify (/ 1 1) into 1
3.321 * [backup-simplify]: Simplify (+ 0 1) into 1
3.321 * [backup-simplify]: Simplify (sqrt 1) into 1
3.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.322 * [backup-simplify]: Simplify (+ 0 0) into 0
3.323 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.323 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.323 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.323 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.323 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.323 * [taylor]: Taking taylor expansion of re in re
3.323 * [backup-simplify]: Simplify 0 into 0
3.323 * [backup-simplify]: Simplify 1 into 1
3.323 * [backup-simplify]: Simplify (* 1 1) into 1
3.323 * [backup-simplify]: Simplify (/ 1 1) into 1
3.323 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.323 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.323 * [taylor]: Taking taylor expansion of im in re
3.323 * [backup-simplify]: Simplify im into im
3.324 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.324 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.324 * [backup-simplify]: Simplify (+ 1 0) into 1
3.324 * [backup-simplify]: Simplify (sqrt 1) into 1
3.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.325 * [backup-simplify]: Simplify (+ 0 0) into 0
3.326 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.326 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.326 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.326 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.326 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.326 * [taylor]: Taking taylor expansion of re in re
3.326 * [backup-simplify]: Simplify 0 into 0
3.326 * [backup-simplify]: Simplify 1 into 1
3.326 * [backup-simplify]: Simplify (* 1 1) into 1
3.326 * [backup-simplify]: Simplify (/ 1 1) into 1
3.326 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.326 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.326 * [taylor]: Taking taylor expansion of im in re
3.326 * [backup-simplify]: Simplify im into im
3.326 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.326 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.327 * [backup-simplify]: Simplify (+ 1 0) into 1
3.327 * [backup-simplify]: Simplify (sqrt 1) into 1
3.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.328 * [backup-simplify]: Simplify (+ 0 0) into 0
3.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.328 * [taylor]: Taking taylor expansion of 1 in im
3.328 * [backup-simplify]: Simplify 1 into 1
3.329 * [taylor]: Taking taylor expansion of 0 in im
3.329 * [backup-simplify]: Simplify 0 into 0
3.329 * [backup-simplify]: Simplify 1 into 1
3.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.330 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.331 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.331 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.331 * [taylor]: Taking taylor expansion of 1/2 in im
3.331 * [backup-simplify]: Simplify 1/2 into 1/2
3.331 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.331 * [taylor]: Taking taylor expansion of im in im
3.331 * [backup-simplify]: Simplify 0 into 0
3.331 * [backup-simplify]: Simplify 1 into 1
3.331 * [backup-simplify]: Simplify (* 1 1) into 1
3.331 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.332 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.332 * [backup-simplify]: Simplify 0 into 0
3.332 * [backup-simplify]: Simplify 0 into 0
3.332 * [backup-simplify]: Simplify 0 into 0
3.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.333 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.334 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.334 * [backup-simplify]: Simplify (+ 0 0) into 0
3.334 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.334 * [taylor]: Taking taylor expansion of 0 in im
3.334 * [backup-simplify]: Simplify 0 into 0
3.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.335 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.335 * [backup-simplify]: Simplify 0 into 0
3.336 * [backup-simplify]: Simplify 0 into 0
3.336 * [backup-simplify]: Simplify 0 into 0
3.336 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
3.336 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2)
3.336 * [backup-simplify]: Simplify (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re)) into (/ (pow im 2) (- (sqrt (+ (pow im 2) (pow re 2))) re))
3.336 * [approximate]: Taking taylor expansion of (/ (pow im 2) (- (sqrt (+ (pow im 2) (pow re 2))) re)) in (im re) around 0
3.336 * [taylor]: Taking taylor expansion of (/ (pow im 2) (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re
3.336 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.336 * [taylor]: Taking taylor expansion of im in re
3.336 * [backup-simplify]: Simplify im into im
3.336 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
3.336 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.336 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.336 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.336 * [taylor]: Taking taylor expansion of im in re
3.336 * [backup-simplify]: Simplify im into im
3.336 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.336 * [taylor]: Taking taylor expansion of re in re
3.336 * [backup-simplify]: Simplify 0 into 0
3.336 * [backup-simplify]: Simplify 1 into 1
3.336 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.337 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.337 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.337 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.337 * [backup-simplify]: Simplify (+ 0 0) into 0
3.337 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.337 * [taylor]: Taking taylor expansion of re in re
3.337 * [backup-simplify]: Simplify 0 into 0
3.337 * [backup-simplify]: Simplify 1 into 1
3.337 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.338 * [backup-simplify]: Simplify (- 0) into 0
3.338 * [backup-simplify]: Simplify (+ im 0) into im
3.338 * [backup-simplify]: Simplify (/ (pow im 2) im) into im
3.338 * [taylor]: Taking taylor expansion of (/ (pow im 2) (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im
3.338 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.338 * [taylor]: Taking taylor expansion of im in im
3.338 * [backup-simplify]: Simplify 0 into 0
3.338 * [backup-simplify]: Simplify 1 into 1
3.338 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im
3.338 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
3.338 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
3.338 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.338 * [taylor]: Taking taylor expansion of im in im
3.338 * [backup-simplify]: Simplify 0 into 0
3.338 * [backup-simplify]: Simplify 1 into 1
3.338 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.338 * [taylor]: Taking taylor expansion of re in im
3.338 * [backup-simplify]: Simplify re into re
3.338 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.338 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
3.338 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.338 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.339 * [backup-simplify]: Simplify (+ 0 0) into 0
3.339 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.339 * [taylor]: Taking taylor expansion of re in im
3.339 * [backup-simplify]: Simplify re into re
3.339 * [backup-simplify]: Simplify (* 1 1) into 1
3.339 * [backup-simplify]: Simplify (- re) into (- re)
3.339 * [backup-simplify]: Simplify (+ re (- re)) into 0
3.340 * [backup-simplify]: Simplify (- 0) into 0
3.340 * [backup-simplify]: Simplify (+ 0 0) into 0
3.340 * [backup-simplify]: Simplify (* 1 1) into 1
3.341 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
3.341 * [backup-simplify]: Simplify (+ 1 0) into 1
3.342 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
3.342 * [backup-simplify]: Simplify (- 0) into 0
3.342 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
3.343 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re)
3.343 * [taylor]: Taking taylor expansion of (/ (pow im 2) (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im
3.343 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.343 * [taylor]: Taking taylor expansion of im in im
3.343 * [backup-simplify]: Simplify 0 into 0
3.343 * [backup-simplify]: Simplify 1 into 1
3.343 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im
3.343 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
3.343 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
3.343 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.343 * [taylor]: Taking taylor expansion of im in im
3.343 * [backup-simplify]: Simplify 0 into 0
3.343 * [backup-simplify]: Simplify 1 into 1
3.343 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.343 * [taylor]: Taking taylor expansion of re in im
3.343 * [backup-simplify]: Simplify re into re
3.343 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.343 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
3.343 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.343 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.344 * [backup-simplify]: Simplify (+ 0 0) into 0
3.344 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.344 * [taylor]: Taking taylor expansion of re in im
3.344 * [backup-simplify]: Simplify re into re
3.344 * [backup-simplify]: Simplify (* 1 1) into 1
3.345 * [backup-simplify]: Simplify (- re) into (- re)
3.345 * [backup-simplify]: Simplify (+ re (- re)) into 0
3.345 * [backup-simplify]: Simplify (- 0) into 0
3.345 * [backup-simplify]: Simplify (+ 0 0) into 0
3.346 * [backup-simplify]: Simplify (* 1 1) into 1
3.346 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
3.347 * [backup-simplify]: Simplify (+ 1 0) into 1
3.347 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
3.348 * [backup-simplify]: Simplify (- 0) into 0
3.348 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
3.348 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re)
3.348 * [taylor]: Taking taylor expansion of (* 2 re) in re
3.348 * [taylor]: Taking taylor expansion of 2 in re
3.348 * [backup-simplify]: Simplify 2 into 2
3.348 * [taylor]: Taking taylor expansion of re in re
3.348 * [backup-simplify]: Simplify 0 into 0
3.348 * [backup-simplify]: Simplify 1 into 1
3.349 * [backup-simplify]: Simplify (* 2 0) into 0
3.349 * [backup-simplify]: Simplify 0 into 0
3.349 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.351 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
3.351 * [backup-simplify]: Simplify (+ 0 0) into 0
3.351 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
3.352 * [backup-simplify]: Simplify (- 0) into 0
3.352 * [backup-simplify]: Simplify (+ 0 0) into 0
3.352 * [backup-simplify]: Simplify (- (/ 0 (* 1/2 (/ 1 re))) (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0
3.352 * [taylor]: Taking taylor expansion of 0 in re
3.352 * [backup-simplify]: Simplify 0 into 0
3.352 * [backup-simplify]: Simplify 0 into 0
3.353 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
3.353 * [backup-simplify]: Simplify 2 into 2
3.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.356 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re))))) into 0
3.356 * [backup-simplify]: Simplify (+ 0 0) into 0
3.357 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 re) 2) (+ (* 2 (* 0 0)))) (* 2 re)) into (/ -1/8 (pow re 3))
3.358 * [backup-simplify]: Simplify (- 0) into 0
3.358 * [backup-simplify]: Simplify (+ (/ -1/8 (pow re 3)) 0) into (- (* 1/8 (/ 1 (pow re 3))))
3.358 * [backup-simplify]: Simplify (- (/ 0 (* 1/2 (/ 1 re))) (+ (* (* 2 re) (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* 0 (/ 0 (* 1/2 (/ 1 re)))))) into (* 1/2 (/ 1 re))
3.358 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 re)) in re
3.358 * [taylor]: Taking taylor expansion of 1/2 in re
3.358 * [backup-simplify]: Simplify 1/2 into 1/2
3.359 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.359 * [taylor]: Taking taylor expansion of re in re
3.359 * [backup-simplify]: Simplify 0 into 0
3.359 * [backup-simplify]: Simplify 1 into 1
3.359 * [backup-simplify]: Simplify (/ 1 1) into 1
3.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.360 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.360 * [backup-simplify]: Simplify 0 into 0
3.361 * [backup-simplify]: Simplify 0 into 0
3.361 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
3.362 * [backup-simplify]: Simplify 0 into 0
3.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.365 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))))) into 0
3.365 * [backup-simplify]: Simplify (+ 0 0) into 0
3.366 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (pow re 3)))) (* 2 (* (/ 1/2 re) 0)))) (* 2 re)) into 0
3.366 * [backup-simplify]: Simplify (- 0) into 0
3.367 * [backup-simplify]: Simplify (+ 0 0) into 0
3.367 * [backup-simplify]: Simplify (- (/ 0 (* 1/2 (/ 1 re))) (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))) (* 0 (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* (* 1/2 (/ 1 re)) (/ 0 (* 1/2 (/ 1 re)))))) into 0
3.367 * [taylor]: Taking taylor expansion of 0 in re
3.367 * [backup-simplify]: Simplify 0 into 0
3.367 * [backup-simplify]: Simplify 0 into 0
3.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.369 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.369 * [backup-simplify]: Simplify 0 into 0
3.369 * [backup-simplify]: Simplify 0 into 0
3.369 * [backup-simplify]: Simplify (* 2 (* re 1)) into (* 2 re)
3.370 * [backup-simplify]: Simplify (/ (* (/ 1 im) (/ 1 im)) (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) into (/ 1 (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))
3.370 * [approximate]: Taking taylor expansion of (/ 1 (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in (im re) around 0
3.370 * [taylor]: Taking taylor expansion of (/ 1 (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re
3.370 * [taylor]: Taking taylor expansion of (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
3.370 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.370 * [taylor]: Taking taylor expansion of im in re
3.370 * [backup-simplify]: Simplify im into im
3.370 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
3.370 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.370 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.370 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.370 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.370 * [taylor]: Taking taylor expansion of re in re
3.370 * [backup-simplify]: Simplify 0 into 0
3.370 * [backup-simplify]: Simplify 1 into 1
3.371 * [backup-simplify]: Simplify (* 1 1) into 1
3.371 * [backup-simplify]: Simplify (/ 1 1) into 1
3.371 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.371 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.371 * [taylor]: Taking taylor expansion of im in re
3.371 * [backup-simplify]: Simplify im into im
3.371 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.371 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.372 * [backup-simplify]: Simplify (+ 1 0) into 1
3.373 * [backup-simplify]: Simplify (sqrt 1) into 1
3.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.375 * [backup-simplify]: Simplify (+ 0 0) into 0
3.375 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.375 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.375 * [taylor]: Taking taylor expansion of re in re
3.375 * [backup-simplify]: Simplify 0 into 0
3.375 * [backup-simplify]: Simplify 1 into 1
3.376 * [backup-simplify]: Simplify (/ 1 1) into 1
3.376 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.376 * [backup-simplify]: Simplify (- 1) into -1
3.377 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.377 * [backup-simplify]: Simplify (* (pow im 2) 0) into 0
3.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.378 * [backup-simplify]: Simplify (- 0) into 0
3.379 * [backup-simplify]: Simplify (+ 0 0) into 0
3.379 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.379 * [backup-simplify]: Simplify (+ (* (pow im 2) 0) (* 0 0)) into 0
3.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.381 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.383 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.384 * [backup-simplify]: Simplify (- 0) into 0
3.384 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.385 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.386 * [backup-simplify]: Simplify (+ (* (pow im 2) (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 0))) into 1/2
3.386 * [backup-simplify]: Simplify (/ 1 1/2) into 2
3.386 * [taylor]: Taking taylor expansion of (/ 1 (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im
3.386 * [taylor]: Taking taylor expansion of (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im
3.386 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.386 * [taylor]: Taking taylor expansion of im in im
3.386 * [backup-simplify]: Simplify 0 into 0
3.386 * [backup-simplify]: Simplify 1 into 1
3.386 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
3.386 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.386 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.386 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.386 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.386 * [taylor]: Taking taylor expansion of re in im
3.387 * [backup-simplify]: Simplify re into re
3.387 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.387 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.387 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.387 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.387 * [taylor]: Taking taylor expansion of im in im
3.387 * [backup-simplify]: Simplify 0 into 0
3.387 * [backup-simplify]: Simplify 1 into 1
3.387 * [backup-simplify]: Simplify (* 1 1) into 1
3.388 * [backup-simplify]: Simplify (/ 1 1) into 1
3.388 * [backup-simplify]: Simplify (+ 0 1) into 1
3.389 * [backup-simplify]: Simplify (sqrt 1) into 1
3.389 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.390 * [backup-simplify]: Simplify (+ 0 0) into 0
3.391 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.391 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.391 * [taylor]: Taking taylor expansion of re in im
3.391 * [backup-simplify]: Simplify re into re
3.391 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.392 * [backup-simplify]: Simplify (* 1 1) into 1
3.392 * [backup-simplify]: Simplify (+ 1 0) into 1
3.392 * [backup-simplify]: Simplify (* 1 1) into 1
3.393 * [backup-simplify]: Simplify (/ 1 1) into 1
3.393 * [taylor]: Taking taylor expansion of (/ 1 (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im
3.393 * [taylor]: Taking taylor expansion of (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im
3.393 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.393 * [taylor]: Taking taylor expansion of im in im
3.393 * [backup-simplify]: Simplify 0 into 0
3.393 * [backup-simplify]: Simplify 1 into 1
3.393 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
3.393 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.393 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.393 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.393 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.393 * [taylor]: Taking taylor expansion of re in im
3.393 * [backup-simplify]: Simplify re into re
3.393 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.394 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.394 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.394 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.394 * [taylor]: Taking taylor expansion of im in im
3.394 * [backup-simplify]: Simplify 0 into 0
3.394 * [backup-simplify]: Simplify 1 into 1
3.394 * [backup-simplify]: Simplify (* 1 1) into 1
3.394 * [backup-simplify]: Simplify (/ 1 1) into 1
3.395 * [backup-simplify]: Simplify (+ 0 1) into 1
3.395 * [backup-simplify]: Simplify (sqrt 1) into 1
3.396 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.397 * [backup-simplify]: Simplify (+ 0 0) into 0
3.398 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.398 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.398 * [taylor]: Taking taylor expansion of re in im
3.398 * [backup-simplify]: Simplify re into re
3.398 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.399 * [backup-simplify]: Simplify (* 1 1) into 1
3.399 * [backup-simplify]: Simplify (+ 1 0) into 1
3.399 * [backup-simplify]: Simplify (* 1 1) into 1
3.400 * [backup-simplify]: Simplify (/ 1 1) into 1
3.400 * [taylor]: Taking taylor expansion of 1 in re
3.400 * [backup-simplify]: Simplify 1 into 1
3.400 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re))
3.400 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re))
3.401 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.401 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 re))) (* 0 1)) into (- (/ 1 re))
3.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re)
3.401 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.401 * [taylor]: Taking taylor expansion of re in re
3.401 * [backup-simplify]: Simplify 0 into 0
3.401 * [backup-simplify]: Simplify 1 into 1
3.402 * [backup-simplify]: Simplify (/ 1 1) into 1
3.402 * [backup-simplify]: Simplify 1 into 1
3.402 * [backup-simplify]: Simplify 1 into 1
3.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.404 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
3.405 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
3.405 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
3.406 * [backup-simplify]: Simplify (- 0) into 0
3.406 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2)))
3.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.408 * [backup-simplify]: Simplify (+ (* 1 (* 1/2 (/ 1 (pow re 2)))) (+ (* 0 (- (/ 1 re))) (* 0 1))) into (* 1/2 (/ 1 (pow re 2)))
3.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2)))
3.408 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re
3.408 * [taylor]: Taking taylor expansion of 1/2 in re
3.408 * [backup-simplify]: Simplify 1/2 into 1/2
3.408 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.408 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.408 * [taylor]: Taking taylor expansion of re in re
3.408 * [backup-simplify]: Simplify 0 into 0
3.408 * [backup-simplify]: Simplify 1 into 1
3.409 * [backup-simplify]: Simplify (* 1 1) into 1
3.409 * [backup-simplify]: Simplify (/ 1 1) into 1
3.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.411 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.411 * [backup-simplify]: Simplify 0 into 0
3.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.412 * [backup-simplify]: Simplify 0 into 0
3.412 * [backup-simplify]: Simplify 0 into 0
3.412 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.413 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
3.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.418 * [backup-simplify]: Simplify (+ 0 0) into 0
3.418 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0
3.419 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
3.419 * [backup-simplify]: Simplify (- 0) into 0
3.419 * [backup-simplify]: Simplify (+ 0 0) into 0
3.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (* 1/2 (/ 1 (pow re 2)))) (+ (* 0 (- (/ 1 re))) (* 0 1)))) into 0
3.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (/ 1 re) (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (* 1/2 (/ 1 (pow re 2))) (/ (- (/ 1 re)) 1)))) into 0
3.423 * [taylor]: Taking taylor expansion of 0 in re
3.423 * [backup-simplify]: Simplify 0 into 0
3.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.426 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.426 * [backup-simplify]: Simplify 0 into 0
3.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.427 * [backup-simplify]: Simplify 0 into 0
3.427 * [backup-simplify]: Simplify 0 into 0
3.427 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 im)))) (* 1 (* (/ 1 (/ 1 re)) 1))) into (+ re im)
3.428 * [backup-simplify]: Simplify (/ (* (/ 1 (- im)) (/ 1 (- im))) (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) into (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2)))
3.428 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2))) in (im re) around 0
3.428 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2))) in re
3.428 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2)) in re
3.428 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
3.428 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.428 * [taylor]: Taking taylor expansion of re in re
3.428 * [backup-simplify]: Simplify 0 into 0
3.428 * [backup-simplify]: Simplify 1 into 1
3.429 * [backup-simplify]: Simplify (/ 1 1) into 1
3.429 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.429 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.429 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.429 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.429 * [taylor]: Taking taylor expansion of re in re
3.429 * [backup-simplify]: Simplify 0 into 0
3.429 * [backup-simplify]: Simplify 1 into 1
3.429 * [backup-simplify]: Simplify (* 1 1) into 1
3.430 * [backup-simplify]: Simplify (/ 1 1) into 1
3.430 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.430 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.430 * [taylor]: Taking taylor expansion of im in re
3.430 * [backup-simplify]: Simplify im into im
3.430 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.430 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.431 * [backup-simplify]: Simplify (+ 1 0) into 1
3.431 * [backup-simplify]: Simplify (sqrt 1) into 1
3.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.432 * [backup-simplify]: Simplify (+ 0 0) into 0
3.432 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.432 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.432 * [taylor]: Taking taylor expansion of im in re
3.432 * [backup-simplify]: Simplify im into im
3.433 * [backup-simplify]: Simplify (+ 1 1) into 2
3.433 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.433 * [backup-simplify]: Simplify (* 2 (pow im 2)) into (* 2 (pow im 2))
3.433 * [backup-simplify]: Simplify (/ 1 (* 2 (pow im 2))) into (/ 1/2 (pow im 2))
3.433 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2))) in im
3.433 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2)) in im
3.433 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
3.433 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.433 * [taylor]: Taking taylor expansion of re in im
3.433 * [backup-simplify]: Simplify re into re
3.433 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.433 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.433 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.433 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.433 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.433 * [taylor]: Taking taylor expansion of re in im
3.433 * [backup-simplify]: Simplify re into re
3.433 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.433 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.433 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.433 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.433 * [taylor]: Taking taylor expansion of im in im
3.433 * [backup-simplify]: Simplify 0 into 0
3.433 * [backup-simplify]: Simplify 1 into 1
3.434 * [backup-simplify]: Simplify (* 1 1) into 1
3.434 * [backup-simplify]: Simplify (/ 1 1) into 1
3.434 * [backup-simplify]: Simplify (+ 0 1) into 1
3.434 * [backup-simplify]: Simplify (sqrt 1) into 1
3.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.435 * [backup-simplify]: Simplify (+ 0 0) into 0
3.436 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.436 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.436 * [taylor]: Taking taylor expansion of im in im
3.436 * [backup-simplify]: Simplify 0 into 0
3.436 * [backup-simplify]: Simplify 1 into 1
3.436 * [backup-simplify]: Simplify (+ 0 1) into 1
3.436 * [backup-simplify]: Simplify (* 1 1) into 1
3.437 * [backup-simplify]: Simplify (* 1 1) into 1
3.437 * [backup-simplify]: Simplify (/ 1 1) into 1
3.437 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2))) in im
3.437 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2)) in im
3.437 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
3.437 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.437 * [taylor]: Taking taylor expansion of re in im
3.437 * [backup-simplify]: Simplify re into re
3.437 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.437 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.437 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.437 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.437 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.437 * [taylor]: Taking taylor expansion of re in im
3.437 * [backup-simplify]: Simplify re into re
3.437 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.437 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.437 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.437 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.437 * [taylor]: Taking taylor expansion of im in im
3.437 * [backup-simplify]: Simplify 0 into 0
3.437 * [backup-simplify]: Simplify 1 into 1
3.438 * [backup-simplify]: Simplify (* 1 1) into 1
3.438 * [backup-simplify]: Simplify (/ 1 1) into 1
3.438 * [backup-simplify]: Simplify (+ 0 1) into 1
3.438 * [backup-simplify]: Simplify (sqrt 1) into 1
3.439 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.439 * [backup-simplify]: Simplify (+ 0 0) into 0
3.440 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.440 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.440 * [taylor]: Taking taylor expansion of im in im
3.440 * [backup-simplify]: Simplify 0 into 0
3.440 * [backup-simplify]: Simplify 1 into 1
3.440 * [backup-simplify]: Simplify (+ 0 1) into 1
3.440 * [backup-simplify]: Simplify (* 1 1) into 1
3.441 * [backup-simplify]: Simplify (* 1 1) into 1
3.441 * [backup-simplify]: Simplify (/ 1 1) into 1
3.441 * [taylor]: Taking taylor expansion of 1 in re
3.441 * [backup-simplify]: Simplify 1 into 1
3.441 * [backup-simplify]: Simplify 0 into 0
3.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.442 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re)
3.442 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 re) 1)) into (/ 1 re)
3.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re))
3.442 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re
3.442 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.442 * [taylor]: Taking taylor expansion of re in re
3.442 * [backup-simplify]: Simplify 0 into 0
3.442 * [backup-simplify]: Simplify 1 into 1
3.442 * [backup-simplify]: Simplify (/ 1 1) into 1
3.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.443 * [backup-simplify]: Simplify (- 0) into 0
3.444 * [backup-simplify]: Simplify 0 into 0
3.444 * [backup-simplify]: Simplify 0 into 0
3.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.444 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
3.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.445 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
3.446 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
3.446 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2)))
3.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 re) 0) (* (* 1/2 (/ 1 (pow re 2))) 1))) into (* 1/2 (/ 1 (pow re 2)))
3.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2)))
3.447 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re
3.447 * [taylor]: Taking taylor expansion of 1/2 in re
3.447 * [backup-simplify]: Simplify 1/2 into 1/2
3.447 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.447 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.447 * [taylor]: Taking taylor expansion of re in re
3.447 * [backup-simplify]: Simplify 0 into 0
3.447 * [backup-simplify]: Simplify 1 into 1
3.448 * [backup-simplify]: Simplify (* 1 1) into 1
3.448 * [backup-simplify]: Simplify (/ 1 1) into 1
3.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.452 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.452 * [backup-simplify]: Simplify 0 into 0
3.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.452 * [backup-simplify]: Simplify (- 0) into 0
3.452 * [backup-simplify]: Simplify 0 into 0
3.452 * [backup-simplify]: Simplify 0 into 0
3.453 * [backup-simplify]: Simplify 0 into 0
3.453 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
3.453 * [backup-simplify]: Simplify (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re)))) into (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))))
3.453 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in (im re) around 0
3.453 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in re
3.453 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re
3.453 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.453 * [taylor]: Taking taylor expansion of 2.0 in re
3.453 * [backup-simplify]: Simplify 2.0 into 2.0
3.453 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.454 * [taylor]: Taking taylor expansion of im in re
3.454 * [backup-simplify]: Simplify im into im
3.454 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in re
3.454 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re
3.454 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
3.454 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.454 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.454 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.454 * [taylor]: Taking taylor expansion of im in re
3.454 * [backup-simplify]: Simplify im into im
3.454 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.454 * [taylor]: Taking taylor expansion of re in re
3.454 * [backup-simplify]: Simplify 0 into 0
3.454 * [backup-simplify]: Simplify 1 into 1
3.454 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.454 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.454 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.454 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.455 * [backup-simplify]: Simplify (+ 0 0) into 0
3.455 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.455 * [taylor]: Taking taylor expansion of re in re
3.455 * [backup-simplify]: Simplify 0 into 0
3.455 * [backup-simplify]: Simplify 1 into 1
3.455 * [backup-simplify]: Simplify (- 0) into 0
3.455 * [backup-simplify]: Simplify (+ im 0) into im
3.455 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.455 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im))
3.455 * [backup-simplify]: Simplify (- 1) into -1
3.456 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.456 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ -1 im)))) into (/ 1 (pow im 2))
3.456 * [backup-simplify]: Simplify (/ (/ 1 (pow im 2)) (* 2 (sqrt (/ 1 im)))) into (* 1/2 (sqrt (/ 1 (pow im 3))))
3.456 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in im
3.456 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im
3.456 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.456 * [taylor]: Taking taylor expansion of 2.0 in im
3.456 * [backup-simplify]: Simplify 2.0 into 2.0
3.456 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.457 * [taylor]: Taking taylor expansion of im in im
3.457 * [backup-simplify]: Simplify 0 into 0
3.457 * [backup-simplify]: Simplify 1 into 1
3.457 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im
3.457 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im
3.457 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im
3.457 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
3.457 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
3.457 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.457 * [taylor]: Taking taylor expansion of im in im
3.457 * [backup-simplify]: Simplify 0 into 0
3.457 * [backup-simplify]: Simplify 1 into 1
3.457 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.457 * [taylor]: Taking taylor expansion of re in im
3.457 * [backup-simplify]: Simplify re into re
3.457 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.457 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
3.457 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.457 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.457 * [backup-simplify]: Simplify (+ 0 0) into 0
3.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.458 * [taylor]: Taking taylor expansion of re in im
3.458 * [backup-simplify]: Simplify re into re
3.458 * [backup-simplify]: Simplify (- re) into (- re)
3.458 * [backup-simplify]: Simplify (+ re (- re)) into 0
3.458 * [backup-simplify]: Simplify (- 0) into 0
3.458 * [backup-simplify]: Simplify (+ 0 0) into 0
3.458 * [backup-simplify]: Simplify (* 1 1) into 1
3.459 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
3.459 * [backup-simplify]: Simplify (+ 1 0) into 1
3.460 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
3.460 * [backup-simplify]: Simplify (- 0) into 0
3.460 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
3.461 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re)
3.461 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re))
3.461 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.462 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
3.463 * [backup-simplify]: Simplify (+ 0 0) into 0
3.463 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
3.463 * [backup-simplify]: Simplify (- 0) into 0
3.463 * [backup-simplify]: Simplify (+ 0 0) into 0
3.464 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0
3.464 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
3.464 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in im
3.464 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im
3.464 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.464 * [taylor]: Taking taylor expansion of 2.0 in im
3.464 * [backup-simplify]: Simplify 2.0 into 2.0
3.464 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.465 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.465 * [taylor]: Taking taylor expansion of im in im
3.465 * [backup-simplify]: Simplify 0 into 0
3.465 * [backup-simplify]: Simplify 1 into 1
3.465 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im
3.465 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im
3.465 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im
3.465 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
3.465 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
3.465 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.465 * [taylor]: Taking taylor expansion of im in im
3.465 * [backup-simplify]: Simplify 0 into 0
3.465 * [backup-simplify]: Simplify 1 into 1
3.465 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.465 * [taylor]: Taking taylor expansion of re in im
3.466 * [backup-simplify]: Simplify re into re
3.466 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.466 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
3.466 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.466 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.466 * [backup-simplify]: Simplify (+ 0 0) into 0
3.467 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.467 * [taylor]: Taking taylor expansion of re in im
3.467 * [backup-simplify]: Simplify re into re
3.467 * [backup-simplify]: Simplify (- re) into (- re)
3.467 * [backup-simplify]: Simplify (+ re (- re)) into 0
3.467 * [backup-simplify]: Simplify (- 0) into 0
3.468 * [backup-simplify]: Simplify (+ 0 0) into 0
3.468 * [backup-simplify]: Simplify (* 1 1) into 1
3.468 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
3.469 * [backup-simplify]: Simplify (+ 1 0) into 1
3.470 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
3.470 * [backup-simplify]: Simplify (- 0) into 0
3.470 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
3.470 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re)
3.470 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re))
3.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.472 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
3.472 * [backup-simplify]: Simplify (+ 0 0) into 0
3.473 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
3.473 * [backup-simplify]: Simplify (- 0) into 0
3.473 * [backup-simplify]: Simplify (+ 0 0) into 0
3.473 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0
3.474 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
3.474 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
3.475 * [backup-simplify]: Simplify (* 0 (* (sqrt 2) (sqrt re))) into 0
3.475 * [taylor]: Taking taylor expansion of 0 in re
3.475 * [backup-simplify]: Simplify 0 into 0
3.475 * [backup-simplify]: Simplify 0 into 0
3.476 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0)
3.477 * [backup-simplify]: Simplify (+ (* 0 0) (* (sqrt 2.0) (* (sqrt 2) (sqrt re)))) into (* (* (sqrt 2.0) (sqrt 2)) (sqrt re))
3.477 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 2)) (sqrt re)) in re
3.477 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 2)) in re
3.477 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.477 * [taylor]: Taking taylor expansion of 2.0 in re
3.477 * [backup-simplify]: Simplify 2.0 into 2.0
3.477 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.477 * [taylor]: Taking taylor expansion of (sqrt 2) in re
3.477 * [taylor]: Taking taylor expansion of 2 in re
3.477 * [backup-simplify]: Simplify 2 into 2
3.478 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
3.478 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
3.478 * [taylor]: Taking taylor expansion of (sqrt re) in re
3.478 * [taylor]: Taking taylor expansion of re in re
3.478 * [backup-simplify]: Simplify 0 into 0
3.478 * [backup-simplify]: Simplify 1 into 1
3.478 * [backup-simplify]: Simplify (sqrt 0) into 0
3.479 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.480 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2)) into (* (sqrt 2.0) (sqrt 2))
3.481 * [backup-simplify]: Simplify (* (* (sqrt 2.0) (sqrt 2)) 0) into 0
3.481 * [backup-simplify]: Simplify 0 into 0
3.481 * [backup-simplify]: Simplify 0 into 0
3.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.482 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re))))) into 0
3.482 * [backup-simplify]: Simplify (+ 0 0) into 0
3.483 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 re) 2) (+ (* 2 (* 0 0)))) (* 2 re)) into (/ -1/8 (pow re 3))
3.483 * [backup-simplify]: Simplify (- 0) into 0
3.483 * [backup-simplify]: Simplify (+ (/ -1/8 (pow re 3)) 0) into (- (* 1/8 (/ 1 (pow re 3))))
3.484 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* 0 (/ 0 (* 1/2 (/ 1 re)))))) into (* 1/2 (/ 1 re))
3.484 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 re)) (pow 0 2) (+)) (* 2 (* (sqrt 2) (sqrt re)))) into (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3)))))
3.485 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.486 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0
3.487 * [backup-simplify]: Simplify (+ (* 0 (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3)))))) (+ (* (sqrt 2.0) 0) (* 0 (* (sqrt 2) (sqrt re))))) into 0
3.487 * [taylor]: Taking taylor expansion of 0 in re
3.487 * [backup-simplify]: Simplify 0 into 0
3.487 * [backup-simplify]: Simplify 0 into 0
3.488 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2))) into 0
3.490 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2))))
3.492 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2))))
3.492 * [backup-simplify]: Simplify 0 into 0
3.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.493 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))))) into 0
3.494 * [backup-simplify]: Simplify (+ 0 0) into 0
3.494 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (pow re 3)))) (* 2 (* (/ 1/2 re) 0)))) (* 2 re)) into 0
3.494 * [backup-simplify]: Simplify (- 0) into 0
3.494 * [backup-simplify]: Simplify (+ 0 0) into 0
3.495 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))) (* 0 (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* (* 1/2 (/ 1 re)) (/ 0 (* 1/2 (/ 1 re)))))) into 0
3.496 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3))))))))) (* 2 (* (sqrt 2) (sqrt re)))) into 0
3.496 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.497 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
3.499 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (sqrt 2.0) (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3)))))) (+ (* 0 0) (* 0 (* (sqrt 2) (sqrt re)))))) into (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3)))))
3.499 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) in re
3.499 * [taylor]: Taking taylor expansion of 1/4 in re
3.499 * [backup-simplify]: Simplify 1/4 into 1/4
3.499 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3)))) in re
3.499 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 2)) in re
3.499 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.499 * [taylor]: Taking taylor expansion of 2.0 in re
3.499 * [backup-simplify]: Simplify 2.0 into 2.0
3.499 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.500 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.500 * [taylor]: Taking taylor expansion of (sqrt 2) in re
3.500 * [taylor]: Taking taylor expansion of 2 in re
3.500 * [backup-simplify]: Simplify 2 into 2
3.500 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
3.500 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
3.501 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt 2)) into (/ (sqrt 2.0) (sqrt 2))
3.501 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 3))) in re
3.501 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re
3.501 * [taylor]: Taking taylor expansion of (pow re 3) in re
3.501 * [taylor]: Taking taylor expansion of re in re
3.501 * [backup-simplify]: Simplify 0 into 0
3.501 * [backup-simplify]: Simplify 1 into 1
3.502 * [backup-simplify]: Simplify (* 1 1) into 1
3.502 * [backup-simplify]: Simplify (* 1 1) into 1
3.502 * [backup-simplify]: Simplify (/ 1 1) into 1
3.502 * [backup-simplify]: Simplify (sqrt 0) into 0
3.503 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.506 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
3.507 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqrt 2.0) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
3.509 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.510 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
3.511 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqrt 2.0) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
3.516 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))
3.519 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))
3.520 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (sqrt 2)) 0) into 0
3.528 * [backup-simplify]: Simplify (+ (* 1/4 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))
3.529 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))
3.530 * [backup-simplify]: Simplify 0 into 0
3.531 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
3.532 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
3.533 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.534 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0
3.537 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2))))
3.538 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2))))
3.544 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) (pow (* re 1) 2)) (+ (* (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) (pow (* 1 im) 2)) (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) (* re 1)))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) re))) (- (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) (pow re 2)))))))))
3.545 * [backup-simplify]: Simplify (sqrt (* 2.0 (/ (* (/ 1 im) (/ 1 im)) (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))))
3.545 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in (im re) around 0
3.545 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in re
3.545 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re
3.545 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.545 * [taylor]: Taking taylor expansion of 2.0 in re
3.545 * [backup-simplify]: Simplify 2.0 into 2.0
3.545 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.545 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.545 * [taylor]: Taking taylor expansion of im in re
3.546 * [backup-simplify]: Simplify im into im
3.546 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im)
3.546 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re
3.546 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
3.546 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
3.546 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.546 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.546 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.546 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.546 * [taylor]: Taking taylor expansion of re in re
3.546 * [backup-simplify]: Simplify 0 into 0
3.546 * [backup-simplify]: Simplify 1 into 1
3.546 * [backup-simplify]: Simplify (* 1 1) into 1
3.546 * [backup-simplify]: Simplify (/ 1 1) into 1
3.546 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.546 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.546 * [taylor]: Taking taylor expansion of im in re
3.547 * [backup-simplify]: Simplify im into im
3.547 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.547 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.547 * [backup-simplify]: Simplify (+ 1 0) into 1
3.547 * [backup-simplify]: Simplify (sqrt 1) into 1
3.548 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.548 * [backup-simplify]: Simplify (+ 0 0) into 0
3.549 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.549 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.549 * [taylor]: Taking taylor expansion of re in re
3.549 * [backup-simplify]: Simplify 0 into 0
3.549 * [backup-simplify]: Simplify 1 into 1
3.549 * [backup-simplify]: Simplify (/ 1 1) into 1
3.549 * [backup-simplify]: Simplify (- 1) into -1
3.549 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.550 * [backup-simplify]: Simplify (- 0) into 0
3.550 * [backup-simplify]: Simplify (+ 0 0) into 0
3.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.553 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.554 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.555 * [backup-simplify]: Simplify (- 0) into 0
3.555 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.556 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2))
3.556 * [backup-simplify]: Simplify (sqrt 0) into 0
3.557 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2))
3.557 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im
3.557 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
3.557 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.557 * [taylor]: Taking taylor expansion of 2.0 in im
3.557 * [backup-simplify]: Simplify 2.0 into 2.0
3.557 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.558 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.558 * [taylor]: Taking taylor expansion of im in im
3.558 * [backup-simplify]: Simplify 0 into 0
3.558 * [backup-simplify]: Simplify 1 into 1
3.559 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.559 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im
3.559 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im
3.559 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
3.559 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.559 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.559 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.559 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.559 * [taylor]: Taking taylor expansion of re in im
3.559 * [backup-simplify]: Simplify re into re
3.560 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.560 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.560 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.560 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.560 * [taylor]: Taking taylor expansion of im in im
3.560 * [backup-simplify]: Simplify 0 into 0
3.560 * [backup-simplify]: Simplify 1 into 1
3.560 * [backup-simplify]: Simplify (* 1 1) into 1
3.561 * [backup-simplify]: Simplify (/ 1 1) into 1
3.561 * [backup-simplify]: Simplify (+ 0 1) into 1
3.562 * [backup-simplify]: Simplify (sqrt 1) into 1
3.562 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.563 * [backup-simplify]: Simplify (+ 0 0) into 0
3.564 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.564 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.564 * [taylor]: Taking taylor expansion of re in im
3.564 * [backup-simplify]: Simplify re into re
3.564 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.565 * [backup-simplify]: Simplify (+ 1 0) into 1
3.565 * [backup-simplify]: Simplify (/ 1 1) into 1
3.566 * [backup-simplify]: Simplify (sqrt 0) into 0
3.567 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.567 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im
3.567 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
3.567 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.567 * [taylor]: Taking taylor expansion of 2.0 in im
3.567 * [backup-simplify]: Simplify 2.0 into 2.0
3.568 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.568 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.568 * [taylor]: Taking taylor expansion of im in im
3.568 * [backup-simplify]: Simplify 0 into 0
3.568 * [backup-simplify]: Simplify 1 into 1
3.569 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.569 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im
3.569 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im
3.569 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
3.570 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.570 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.570 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.570 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.570 * [taylor]: Taking taylor expansion of re in im
3.570 * [backup-simplify]: Simplify re into re
3.570 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.570 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.570 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.570 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.570 * [taylor]: Taking taylor expansion of im in im
3.570 * [backup-simplify]: Simplify 0 into 0
3.570 * [backup-simplify]: Simplify 1 into 1
3.571 * [backup-simplify]: Simplify (* 1 1) into 1
3.571 * [backup-simplify]: Simplify (/ 1 1) into 1
3.571 * [backup-simplify]: Simplify (+ 0 1) into 1
3.572 * [backup-simplify]: Simplify (sqrt 1) into 1
3.572 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.574 * [backup-simplify]: Simplify (+ 0 0) into 0
3.574 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.574 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.574 * [taylor]: Taking taylor expansion of re in im
3.574 * [backup-simplify]: Simplify re into re
3.575 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.575 * [backup-simplify]: Simplify (+ 1 0) into 1
3.575 * [backup-simplify]: Simplify (/ 1 1) into 1
3.576 * [backup-simplify]: Simplify (sqrt 0) into 0
3.577 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.578 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
3.578 * [taylor]: Taking taylor expansion of 0 in re
3.578 * [backup-simplify]: Simplify 0 into 0
3.579 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.581 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
3.581 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re
3.581 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
3.581 * [taylor]: Taking taylor expansion of +nan.0 in re
3.581 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.581 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.581 * [taylor]: Taking taylor expansion of 2.0 in re
3.581 * [backup-simplify]: Simplify 2.0 into 2.0
3.582 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.582 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.582 * [backup-simplify]: Simplify 0 into 0
3.583 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re))
3.583 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re))
3.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re)
3.585 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0))
3.586 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.587 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.588 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))
3.588 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re
3.588 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re
3.588 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
3.588 * [taylor]: Taking taylor expansion of +nan.0 in re
3.588 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.588 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.588 * [taylor]: Taking taylor expansion of 2.0 in re
3.588 * [backup-simplify]: Simplify 2.0 into 2.0
3.589 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.590 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.590 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re
3.590 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
3.590 * [taylor]: Taking taylor expansion of +nan.0 in re
3.590 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.590 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
3.590 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.590 * [taylor]: Taking taylor expansion of 2.0 in re
3.590 * [backup-simplify]: Simplify 2.0 into 2.0
3.590 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.591 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.591 * [taylor]: Taking taylor expansion of re in re
3.591 * [backup-simplify]: Simplify 0 into 0
3.591 * [backup-simplify]: Simplify 1 into 1
3.592 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.593 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
3.594 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.597 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
3.599 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
3.601 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.602 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
3.603 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.605 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.605 * [backup-simplify]: Simplify 0 into 0
3.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.607 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
3.608 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
3.609 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
3.609 * [backup-simplify]: Simplify (- 0) into 0
3.609 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2)))
3.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2)))
3.611 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 re) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))
3.612 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.613 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.615 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
3.615 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) in re
3.615 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))) in re
3.615 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
3.615 * [taylor]: Taking taylor expansion of +nan.0 in re
3.615 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.615 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.615 * [taylor]: Taking taylor expansion of 2.0 in re
3.615 * [backup-simplify]: Simplify 2.0 into 2.0
3.616 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.617 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.617 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))) in re
3.617 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))) in re
3.617 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
3.617 * [taylor]: Taking taylor expansion of +nan.0 in re
3.617 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.617 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
3.617 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.617 * [taylor]: Taking taylor expansion of 2.0 in re
3.617 * [backup-simplify]: Simplify 2.0 into 2.0
3.617 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.618 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.618 * [taylor]: Taking taylor expansion of re in re
3.618 * [backup-simplify]: Simplify 0 into 0
3.618 * [backup-simplify]: Simplify 1 into 1
3.619 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.619 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))) in re
3.619 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re
3.619 * [taylor]: Taking taylor expansion of +nan.0 in re
3.619 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.619 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re
3.619 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.619 * [taylor]: Taking taylor expansion of 2.0 in re
3.619 * [backup-simplify]: Simplify 2.0 into 2.0
3.620 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.621 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.621 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.621 * [taylor]: Taking taylor expansion of re in re
3.621 * [backup-simplify]: Simplify 0 into 0
3.621 * [backup-simplify]: Simplify 1 into 1
3.621 * [backup-simplify]: Simplify (* 1 1) into 1
3.622 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.623 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
3.624 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.625 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.626 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
3.626 * [backup-simplify]: Simplify (- 0) into 0
3.628 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
3.630 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
3.632 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
3.635 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
3.637 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.642 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 re)) (pow (/ 1 im) 2))) (+ (- (* +nan.0 (sqrt 2.0))) (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 re)) (/ 1 im))))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2))) (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (* (sqrt 2.0) re) im)))))))
3.643 * [backup-simplify]: Simplify (sqrt (* 2.0 (/ (* (/ 1 (- im)) (/ 1 (- im))) (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))))
3.643 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in (im re) around 0
3.643 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in re
3.643 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re
3.643 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.643 * [taylor]: Taking taylor expansion of 2.0 in re
3.643 * [backup-simplify]: Simplify 2.0 into 2.0
3.644 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.644 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.644 * [taylor]: Taking taylor expansion of im in re
3.644 * [backup-simplify]: Simplify im into im
3.645 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im)
3.645 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re
3.645 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
3.645 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
3.645 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.645 * [taylor]: Taking taylor expansion of re in re
3.645 * [backup-simplify]: Simplify 0 into 0
3.645 * [backup-simplify]: Simplify 1 into 1
3.646 * [backup-simplify]: Simplify (/ 1 1) into 1
3.646 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.646 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.646 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.646 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.646 * [taylor]: Taking taylor expansion of re in re
3.646 * [backup-simplify]: Simplify 0 into 0
3.646 * [backup-simplify]: Simplify 1 into 1
3.646 * [backup-simplify]: Simplify (* 1 1) into 1
3.647 * [backup-simplify]: Simplify (/ 1 1) into 1
3.647 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.647 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.647 * [taylor]: Taking taylor expansion of im in re
3.647 * [backup-simplify]: Simplify im into im
3.647 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.647 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.648 * [backup-simplify]: Simplify (+ 1 0) into 1
3.648 * [backup-simplify]: Simplify (sqrt 1) into 1
3.649 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.651 * [backup-simplify]: Simplify (+ 0 0) into 0
3.652 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.652 * [backup-simplify]: Simplify (+ 1 1) into 2
3.653 * [backup-simplify]: Simplify (/ 1 2) into 1/2
3.653 * [backup-simplify]: Simplify (sqrt 0) into 0
3.655 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0
3.655 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in im
3.655 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
3.655 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.655 * [taylor]: Taking taylor expansion of 2.0 in im
3.655 * [backup-simplify]: Simplify 2.0 into 2.0
3.655 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.658 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.658 * [taylor]: Taking taylor expansion of im in im
3.658 * [backup-simplify]: Simplify 0 into 0
3.658 * [backup-simplify]: Simplify 1 into 1
3.659 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.659 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im
3.659 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
3.659 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
3.660 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.660 * [taylor]: Taking taylor expansion of re in im
3.660 * [backup-simplify]: Simplify re into re
3.660 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.660 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.660 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.660 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.660 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.660 * [taylor]: Taking taylor expansion of re in im
3.660 * [backup-simplify]: Simplify re into re
3.660 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.660 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.660 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.660 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.660 * [taylor]: Taking taylor expansion of im in im
3.660 * [backup-simplify]: Simplify 0 into 0
3.660 * [backup-simplify]: Simplify 1 into 1
3.661 * [backup-simplify]: Simplify (* 1 1) into 1
3.661 * [backup-simplify]: Simplify (/ 1 1) into 1
3.661 * [backup-simplify]: Simplify (+ 0 1) into 1
3.662 * [backup-simplify]: Simplify (sqrt 1) into 1
3.662 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.664 * [backup-simplify]: Simplify (+ 0 0) into 0
3.664 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.665 * [backup-simplify]: Simplify (+ 0 1) into 1
3.665 * [backup-simplify]: Simplify (/ 1 1) into 1
3.665 * [backup-simplify]: Simplify (sqrt 0) into 0
3.667 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.667 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in im
3.667 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
3.667 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.667 * [taylor]: Taking taylor expansion of 2.0 in im
3.667 * [backup-simplify]: Simplify 2.0 into 2.0
3.667 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.668 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.668 * [taylor]: Taking taylor expansion of im in im
3.668 * [backup-simplify]: Simplify 0 into 0
3.668 * [backup-simplify]: Simplify 1 into 1
3.669 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.669 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im
3.669 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
3.669 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
3.669 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.669 * [taylor]: Taking taylor expansion of re in im
3.669 * [backup-simplify]: Simplify re into re
3.669 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.669 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.669 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.669 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.669 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.669 * [taylor]: Taking taylor expansion of re in im
3.669 * [backup-simplify]: Simplify re into re
3.669 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.670 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.670 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.670 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.670 * [taylor]: Taking taylor expansion of im in im
3.670 * [backup-simplify]: Simplify 0 into 0
3.670 * [backup-simplify]: Simplify 1 into 1
3.670 * [backup-simplify]: Simplify (* 1 1) into 1
3.670 * [backup-simplify]: Simplify (/ 1 1) into 1
3.671 * [backup-simplify]: Simplify (+ 0 1) into 1
3.671 * [backup-simplify]: Simplify (sqrt 1) into 1
3.672 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.673 * [backup-simplify]: Simplify (+ 0 0) into 0
3.674 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.674 * [backup-simplify]: Simplify (+ 0 1) into 1
3.675 * [backup-simplify]: Simplify (/ 1 1) into 1
3.675 * [backup-simplify]: Simplify (sqrt 0) into 0
3.676 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.677 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
3.677 * [taylor]: Taking taylor expansion of 0 in re
3.677 * [backup-simplify]: Simplify 0 into 0
3.677 * [backup-simplify]: Simplify 0 into 0
3.678 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.680 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
3.680 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re
3.680 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
3.680 * [taylor]: Taking taylor expansion of +nan.0 in re
3.680 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.680 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.680 * [taylor]: Taking taylor expansion of 2.0 in re
3.680 * [backup-simplify]: Simplify 2.0 into 2.0
3.681 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.681 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.682 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
3.684 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.685 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.686 * [backup-simplify]: Simplify 0 into 0
3.686 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re)
3.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re))
3.687 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0)))
3.688 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.689 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.691 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))
3.691 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re
3.691 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re
3.691 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
3.691 * [taylor]: Taking taylor expansion of +nan.0 in re
3.691 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.691 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.691 * [taylor]: Taking taylor expansion of 2.0 in re
3.691 * [backup-simplify]: Simplify 2.0 into 2.0
3.692 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.692 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.692 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re
3.692 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
3.692 * [taylor]: Taking taylor expansion of +nan.0 in re
3.693 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.693 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
3.693 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.693 * [taylor]: Taking taylor expansion of 2.0 in re
3.693 * [backup-simplify]: Simplify 2.0 into 2.0
3.693 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.694 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.694 * [taylor]: Taking taylor expansion of re in re
3.694 * [backup-simplify]: Simplify 0 into 0
3.694 * [backup-simplify]: Simplify 1 into 1
3.695 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.696 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
3.697 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.697 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
3.698 * [backup-simplify]: Simplify (- 0) into 0
3.699 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
3.702 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
3.703 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.704 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
3.704 * [backup-simplify]: Simplify (- 0) into 0
3.704 * [backup-simplify]: Simplify 0 into 0
3.704 * [backup-simplify]: Simplify 0 into 0
3.705 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
3.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.707 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
3.708 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
3.708 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2)))
3.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2)))
3.710 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 re) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))
3.711 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.715 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
3.715 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) in re
3.715 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))) in re
3.715 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
3.715 * [taylor]: Taking taylor expansion of +nan.0 in re
3.715 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.715 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.715 * [taylor]: Taking taylor expansion of 2.0 in re
3.715 * [backup-simplify]: Simplify 2.0 into 2.0
3.715 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.716 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.716 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))) in re
3.716 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))) in re
3.716 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
3.716 * [taylor]: Taking taylor expansion of +nan.0 in re
3.716 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.716 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
3.716 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.716 * [taylor]: Taking taylor expansion of 2.0 in re
3.716 * [backup-simplify]: Simplify 2.0 into 2.0
3.717 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.717 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.717 * [taylor]: Taking taylor expansion of re in re
3.717 * [backup-simplify]: Simplify 0 into 0
3.717 * [backup-simplify]: Simplify 1 into 1
3.718 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.718 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))) in re
3.718 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re
3.718 * [taylor]: Taking taylor expansion of +nan.0 in re
3.718 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.718 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re
3.719 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.719 * [taylor]: Taking taylor expansion of 2.0 in re
3.719 * [backup-simplify]: Simplify 2.0 into 2.0
3.719 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.720 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.720 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.720 * [taylor]: Taking taylor expansion of re in re
3.720 * [backup-simplify]: Simplify 0 into 0
3.720 * [backup-simplify]: Simplify 1 into 1
3.720 * [backup-simplify]: Simplify (* 1 1) into 1
3.721 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.722 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
3.723 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.724 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
3.725 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.727 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.728 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.729 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.730 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
3.731 * [backup-simplify]: Simplify (- 0) into 0
3.731 * [backup-simplify]: Simplify (+ 0 0) into 0
3.731 * [backup-simplify]: Simplify (- 0) into 0
3.733 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
3.736 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
3.737 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.742 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 (- im))) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 (- im)))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))))))
3.743 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2)
3.743 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re)
3.743 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0
3.743 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im
3.743 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
3.743 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
3.743 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.743 * [taylor]: Taking taylor expansion of im in im
3.743 * [backup-simplify]: Simplify 0 into 0
3.743 * [backup-simplify]: Simplify 1 into 1
3.743 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.743 * [taylor]: Taking taylor expansion of re in im
3.743 * [backup-simplify]: Simplify re into re
3.743 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.744 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
3.744 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.744 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.744 * [backup-simplify]: Simplify (+ 0 0) into 0
3.745 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.745 * [taylor]: Taking taylor expansion of re in im
3.745 * [backup-simplify]: Simplify re into re
3.745 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
3.745 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.745 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.745 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.745 * [taylor]: Taking taylor expansion of im in re
3.745 * [backup-simplify]: Simplify im into im
3.745 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.745 * [taylor]: Taking taylor expansion of re in re
3.745 * [backup-simplify]: Simplify 0 into 0
3.745 * [backup-simplify]: Simplify 1 into 1
3.745 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.745 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.745 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.745 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.746 * [backup-simplify]: Simplify (+ 0 0) into 0
3.746 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.746 * [taylor]: Taking taylor expansion of re in re
3.746 * [backup-simplify]: Simplify 0 into 0
3.746 * [backup-simplify]: Simplify 1 into 1
3.746 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
3.746 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.746 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.746 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.746 * [taylor]: Taking taylor expansion of im in re
3.746 * [backup-simplify]: Simplify im into im
3.746 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.746 * [taylor]: Taking taylor expansion of re in re
3.746 * [backup-simplify]: Simplify 0 into 0
3.746 * [backup-simplify]: Simplify 1 into 1
3.747 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.747 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.747 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.747 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.747 * [backup-simplify]: Simplify (+ 0 0) into 0
3.747 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.748 * [taylor]: Taking taylor expansion of re in re
3.748 * [backup-simplify]: Simplify 0 into 0
3.748 * [backup-simplify]: Simplify 1 into 1
3.748 * [backup-simplify]: Simplify (- 0) into 0
3.748 * [backup-simplify]: Simplify (+ im 0) into im
3.748 * [taylor]: Taking taylor expansion of im in im
3.748 * [backup-simplify]: Simplify 0 into 0
3.748 * [backup-simplify]: Simplify 1 into 1
3.748 * [backup-simplify]: Simplify 0 into 0
3.749 * [backup-simplify]: Simplify (- 1) into -1
3.749 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.749 * [taylor]: Taking taylor expansion of -1 in im
3.749 * [backup-simplify]: Simplify -1 into -1
3.749 * [backup-simplify]: Simplify -1 into -1
3.749 * [backup-simplify]: Simplify 1 into 1
3.750 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.750 * [backup-simplify]: Simplify (* 1 1) into 1
3.751 * [backup-simplify]: Simplify (+ 0 1) into 1
3.751 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.752 * [backup-simplify]: Simplify (- 0) into 0
3.752 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
3.752 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
3.752 * [taylor]: Taking taylor expansion of 1/2 in im
3.752 * [backup-simplify]: Simplify 1/2 into 1/2
3.752 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.752 * [taylor]: Taking taylor expansion of im in im
3.752 * [backup-simplify]: Simplify 0 into 0
3.752 * [backup-simplify]: Simplify 1 into 1
3.752 * [backup-simplify]: Simplify (/ 1 1) into 1
3.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.754 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.754 * [backup-simplify]: Simplify 0 into 0
3.754 * [backup-simplify]: Simplify 0 into 0
3.754 * [backup-simplify]: Simplify 0 into 0
3.755 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.756 * [backup-simplify]: Simplify (+ 0 0) into 0
3.756 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.757 * [backup-simplify]: Simplify (- 0) into 0
3.757 * [backup-simplify]: Simplify (+ 0 0) into 0
3.757 * [taylor]: Taking taylor expansion of 0 in im
3.757 * [backup-simplify]: Simplify 0 into 0
3.757 * [backup-simplify]: Simplify 0 into 0
3.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.759 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.759 * [backup-simplify]: Simplify 0 into 0
3.759 * [backup-simplify]: Simplify 0 into 0
3.759 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
3.760 * [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))
3.760 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
3.760 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
3.760 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.760 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.760 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.760 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.760 * [taylor]: Taking taylor expansion of re in im
3.760 * [backup-simplify]: Simplify re into re
3.760 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.760 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.760 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.760 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.760 * [taylor]: Taking taylor expansion of im in im
3.761 * [backup-simplify]: Simplify 0 into 0
3.761 * [backup-simplify]: Simplify 1 into 1
3.761 * [backup-simplify]: Simplify (* 1 1) into 1
3.761 * [backup-simplify]: Simplify (/ 1 1) into 1
3.762 * [backup-simplify]: Simplify (+ 0 1) into 1
3.762 * [backup-simplify]: Simplify (sqrt 1) into 1
3.763 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.764 * [backup-simplify]: Simplify (+ 0 0) into 0
3.765 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.765 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.765 * [taylor]: Taking taylor expansion of re in im
3.765 * [backup-simplify]: Simplify re into re
3.765 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.765 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
3.765 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.765 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.765 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.765 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.765 * [taylor]: Taking taylor expansion of re in re
3.765 * [backup-simplify]: Simplify 0 into 0
3.765 * [backup-simplify]: Simplify 1 into 1
3.766 * [backup-simplify]: Simplify (* 1 1) into 1
3.766 * [backup-simplify]: Simplify (/ 1 1) into 1
3.766 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.766 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.766 * [taylor]: Taking taylor expansion of im in re
3.766 * [backup-simplify]: Simplify im into im
3.766 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.766 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.767 * [backup-simplify]: Simplify (+ 1 0) into 1
3.767 * [backup-simplify]: Simplify (sqrt 1) into 1
3.768 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.769 * [backup-simplify]: Simplify (+ 0 0) into 0
3.770 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.770 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.770 * [taylor]: Taking taylor expansion of re in re
3.770 * [backup-simplify]: Simplify 0 into 0
3.770 * [backup-simplify]: Simplify 1 into 1
3.770 * [backup-simplify]: Simplify (/ 1 1) into 1
3.770 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
3.770 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.770 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.770 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.770 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.770 * [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 (* 1 1) into 1
3.771 * [backup-simplify]: Simplify (/ 1 1) into 1
3.771 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.771 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.771 * [taylor]: Taking taylor expansion of im in re
3.771 * [backup-simplify]: Simplify im into im
3.772 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.772 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.772 * [backup-simplify]: Simplify (+ 1 0) into 1
3.773 * [backup-simplify]: Simplify (sqrt 1) into 1
3.773 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.775 * [backup-simplify]: Simplify (+ 0 0) into 0
3.776 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.776 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.776 * [taylor]: Taking taylor expansion of re in re
3.776 * [backup-simplify]: Simplify 0 into 0
3.776 * [backup-simplify]: Simplify 1 into 1
3.776 * [backup-simplify]: Simplify (/ 1 1) into 1
3.777 * [backup-simplify]: Simplify (- 1) into -1
3.778 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.778 * [taylor]: Taking taylor expansion of 0 in im
3.778 * [backup-simplify]: Simplify 0 into 0
3.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.779 * [backup-simplify]: Simplify (- 0) into 0
3.779 * [backup-simplify]: Simplify (+ 0 0) into 0
3.780 * [taylor]: Taking taylor expansion of 0 in im
3.780 * [backup-simplify]: Simplify 0 into 0
3.780 * [backup-simplify]: Simplify 0 into 0
3.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.782 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.783 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.784 * [backup-simplify]: Simplify (- 0) into 0
3.785 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.785 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.785 * [taylor]: Taking taylor expansion of 1/2 in im
3.785 * [backup-simplify]: Simplify 1/2 into 1/2
3.785 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.785 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.785 * [taylor]: Taking taylor expansion of im in im
3.785 * [backup-simplify]: Simplify 0 into 0
3.785 * [backup-simplify]: Simplify 1 into 1
3.786 * [backup-simplify]: Simplify (* 1 1) into 1
3.786 * [backup-simplify]: Simplify (/ 1 1) into 1
3.787 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.788 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.788 * [backup-simplify]: Simplify 0 into 0
3.788 * [backup-simplify]: Simplify 0 into 0
3.788 * [backup-simplify]: Simplify 0 into 0
3.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.791 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.791 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.791 * [backup-simplify]: Simplify (+ 0 0) into 0
3.792 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.793 * [backup-simplify]: Simplify (- 0) into 0
3.794 * [backup-simplify]: Simplify (+ 0 0) into 0
3.794 * [taylor]: Taking taylor expansion of 0 in im
3.794 * [backup-simplify]: Simplify 0 into 0
3.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.797 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.797 * [backup-simplify]: Simplify 0 into 0
3.797 * [backup-simplify]: Simplify 0 into 0
3.797 * [backup-simplify]: Simplify 0 into 0
3.797 * [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)))))
3.797 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
3.797 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
3.797 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.798 * [taylor]: Taking taylor expansion of re in im
3.798 * [backup-simplify]: Simplify re into re
3.798 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.798 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.798 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.798 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.798 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.798 * [taylor]: Taking taylor expansion of re in im
3.798 * [backup-simplify]: Simplify re into re
3.798 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.798 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.798 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.798 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.798 * [taylor]: Taking taylor expansion of im in im
3.798 * [backup-simplify]: Simplify 0 into 0
3.798 * [backup-simplify]: Simplify 1 into 1
3.799 * [backup-simplify]: Simplify (* 1 1) into 1
3.799 * [backup-simplify]: Simplify (/ 1 1) into 1
3.799 * [backup-simplify]: Simplify (+ 0 1) into 1
3.800 * [backup-simplify]: Simplify (sqrt 1) into 1
3.801 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.802 * [backup-simplify]: Simplify (+ 0 0) into 0
3.802 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.802 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
3.803 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.803 * [taylor]: Taking taylor expansion of re in re
3.803 * [backup-simplify]: Simplify 0 into 0
3.803 * [backup-simplify]: Simplify 1 into 1
3.803 * [backup-simplify]: Simplify (/ 1 1) into 1
3.803 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.803 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.803 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.803 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.803 * [taylor]: Taking taylor expansion of re in re
3.803 * [backup-simplify]: Simplify 0 into 0
3.803 * [backup-simplify]: Simplify 1 into 1
3.804 * [backup-simplify]: Simplify (* 1 1) into 1
3.804 * [backup-simplify]: Simplify (/ 1 1) into 1
3.804 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.804 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.804 * [taylor]: Taking taylor expansion of im in re
3.804 * [backup-simplify]: Simplify im into im
3.804 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.804 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.805 * [backup-simplify]: Simplify (+ 1 0) into 1
3.805 * [backup-simplify]: Simplify (sqrt 1) into 1
3.806 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.807 * [backup-simplify]: Simplify (+ 0 0) into 0
3.808 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.808 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
3.808 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.808 * [taylor]: Taking taylor expansion of re in re
3.808 * [backup-simplify]: Simplify 0 into 0
3.808 * [backup-simplify]: Simplify 1 into 1
3.808 * [backup-simplify]: Simplify (/ 1 1) into 1
3.808 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.808 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.808 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.808 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.808 * [taylor]: Taking taylor expansion of re in re
3.809 * [backup-simplify]: Simplify 0 into 0
3.809 * [backup-simplify]: Simplify 1 into 1
3.811 * [backup-simplify]: Simplify (* 1 1) into 1
3.812 * [backup-simplify]: Simplify (/ 1 1) into 1
3.812 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.812 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.812 * [taylor]: Taking taylor expansion of im in re
3.812 * [backup-simplify]: Simplify im into im
3.812 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.812 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.813 * [backup-simplify]: Simplify (+ 1 0) into 1
3.813 * [backup-simplify]: Simplify (sqrt 1) into 1
3.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.815 * [backup-simplify]: Simplify (+ 0 0) into 0
3.816 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.816 * [backup-simplify]: Simplify (+ 1 1) into 2
3.816 * [taylor]: Taking taylor expansion of 2 in im
3.816 * [backup-simplify]: Simplify 2 into 2
3.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.817 * [backup-simplify]: Simplify (+ 0 0) into 0
3.817 * [taylor]: Taking taylor expansion of 0 in im
3.817 * [backup-simplify]: Simplify 0 into 0
3.818 * [backup-simplify]: Simplify 2 into 2
3.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.821 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.822 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.822 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
3.822 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.822 * [taylor]: Taking taylor expansion of 1/2 in im
3.822 * [backup-simplify]: Simplify 1/2 into 1/2
3.822 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.822 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.822 * [taylor]: Taking taylor expansion of im in im
3.822 * [backup-simplify]: Simplify 0 into 0
3.822 * [backup-simplify]: Simplify 1 into 1
3.823 * [backup-simplify]: Simplify (* 1 1) into 1
3.823 * [backup-simplify]: Simplify (/ 1 1) into 1
3.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.825 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.825 * [backup-simplify]: Simplify 0 into 0
3.825 * [backup-simplify]: Simplify 0 into 0
3.825 * [backup-simplify]: Simplify 0 into 0
3.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.827 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.828 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.829 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.829 * [backup-simplify]: Simplify (+ 0 0) into 0
3.830 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.830 * [backup-simplify]: Simplify (+ 0 0) into 0
3.830 * [taylor]: Taking taylor expansion of 0 in im
3.830 * [backup-simplify]: Simplify 0 into 0
3.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.833 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.833 * [backup-simplify]: Simplify 0 into 0
3.833 * [backup-simplify]: Simplify 0 into 0
3.833 * [backup-simplify]: Simplify 0 into 0
3.833 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
3.833 * * * [progress]: simplifying candidates
3.835 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (- (+ (log im) (log im)) (log (- (sqrt (+ (* re re) (* im im))) re)))
  (- (log (* im im)) (log (- (sqrt (+ (* re re) (* im im))) re)))
  (log (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re)))
  (exp (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (* (* (* im im) im) (* (* im im) im)) (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (* (* (* im im) (* im im)) (* im im)) (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re)))
  (* (cbrt (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))
  (cbrt (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re)))
  (* (* (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re)) (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))) (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re)))
  (sqrt (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re)))
  (sqrt (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re)))
  (- (* im im))
  (- (- (sqrt (+ (* re re) (* im im))) re))
  (/ im (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ im (cbrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ im 1)
  (/ im (- (sqrt (+ (* re re) (* im im))) re))
  (/ im (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (/ im (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (/ im (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (/ im (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (/ im 1)
  (/ im (- (sqrt (+ (* re re) (* im im))) re))
  (/ 1 (- (sqrt (+ (* re re) (* im im))) re))
  (/ (- (sqrt (+ (* re re) (* im im))) re) (* im im))
  (/ (* im im) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* im im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (* im im) 1)
  (/ (* im im) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (/ (* im im) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (/ (* im im) 1)
  (/ (- (sqrt (+ (* re re) (* im im))) re) im)
  (/ (* im im) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))
  (/ (* im im) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))
  (log (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re)))))
  (exp (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re)))))
  (* (cbrt (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))
  (cbrt (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re)))))
  (* (* (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))) (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re)))))
  (sqrt 2.0)
  (sqrt (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re)))
  (sqrt (* 2.0 (* im im)))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re)))))
  (sqrt (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re))
  (log (- (sqrt (+ (* re re) (* im im))) re))
  (exp (- (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (- (sqrt (+ (* re re) (* im im))) re))
  (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))
  (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))
  (- re)
  (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))
  (+ (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (- re)
  im
  re
  (* -1 re)
  (* 2 re)
  (+ re im)
  0
  (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) re))) (- (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) (pow re 2)))))))))
  (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2))) (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (* (sqrt 2.0) re) im)))))))
  (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))))))
  (- im re)
  0
  (* -2 re)
3.838 * * [simplify]: iteration 0: 153 enodes
3.872 * * [simplify]: iteration 1: 399 enodes
4.038 * * [simplify]: iteration 2: 1397 enodes
4.614 * * [simplify]: iteration complete: 5018 enodes
4.614 * * [simplify]: Extracting #0: cost 70 inf + 0
4.616 * * [simplify]: Extracting #1: cost 613 inf + 169
4.635 * * [simplify]: Extracting #2: cost 1356 inf + 6406
4.659 * * [simplify]: Extracting #3: cost 1593 inf + 48307
4.709 * * [simplify]: Extracting #4: cost 822 inf + 178421
4.805 * * [simplify]: Extracting #5: cost 182 inf + 343240
4.917 * * [simplify]: Extracting #6: cost 3 inf + 399585
5.020 * * [simplify]: Extracting #7: cost 0 inf + 400562
5.118 * [simplify]: Simplified to:
  (log (sqrt (+ (* im im) (* re re))))
  (exp (sqrt (+ (* im im) (* re re))))
  (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re)))))
  (cbrt (sqrt (+ (* im im) (* re re))))
  (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re)))
  (fabs (cbrt (+ (* im im) (* re re))))
  (sqrt (cbrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  1
  (sqrt (+ (* im im) (* re re)))
  (sqrt (+ (* (* (* re re) re) (* (* re re) re)) (* (* (* im im) (* im im)) (* im im))))
  (sqrt (- (* (* im im) (* im im)) (* (* re re) (- (* im im) (* re re)))))
  (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im))))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (log (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re)))
  (log (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re)))
  (log (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re)))
  (exp (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re)))
  (* (* (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re)) (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re))) (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re)))
  (* (* (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re)) (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re))) (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re)))
  (* (cbrt (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re))))
  (cbrt (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re)))
  (* (* (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re)) (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re))) (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re)))
  (sqrt (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re)))
  (sqrt (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re)))
  (- (* im im))
  (+ (- (sqrt (+ (* im im) (* re re)))) re)
  (/ im (* (cbrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ im (cbrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ im (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ im (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  im
  (/ im (- (sqrt (+ (* im im) (* re re))) re))
  (/ im (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re)))
  (/ im (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re)))
  (/ im (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re)))
  (/ im (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re)))
  im
  (/ im (- (sqrt (+ (* im im) (* re re))) re))
  (/ 1 (- (sqrt (+ (* im im) (* re re))) re))
  (/ (- (sqrt (+ (* im im) (* re re))) re) (* im im))
  (* (/ im (cbrt (- (sqrt (+ (* im im) (* re re))) re))) (/ im (cbrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (* im im) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (* im im)
  (/ (* im im) (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re)))
  (/ (* im im) (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re)))
  (* im im)
  (/ (- (sqrt (+ (* im im) (* re re))) re) im)
  (/ (* im im) (- (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* (* re re) re)))
  (/ (* im im) (- (+ (* im im) (* re re)) (* re re)))
  (log (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* im im) (* re re))) re))))
  (exp (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* im im) (* re re))) re))))
  (* (cbrt (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* im im) (* re re))) re)))) (cbrt (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* im im) (* re re))) re)))))
  (cbrt (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* im im) (* re re))) re))))
  (* (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* im im) (* re re))) re))) (/ (* 2.0 (* im im)) (- (sqrt (+ (* im im) (* re re))) re)))
  (sqrt 2.0)
  (sqrt (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re)))
  (sqrt (* (* im im) 2.0))
  (sqrt (- (sqrt (+ (* im im) (* re re))) re))
  1/2
  1/2
  (sqrt (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* im im) (* re re))) re))))
  (sqrt (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* im im) (* re re))) re))))
  (exp (- (sqrt (+ (* im im) (* re re))) re))
  (log (- (sqrt (+ (* im im) (* re re))) re))
  (exp (- (sqrt (+ (* im im) (* re re))) re))
  (* (cbrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (- (sqrt (+ (* im im) (* re re))) re)))
  (cbrt (- (sqrt (+ (* im im) (* re re))) re))
  (* (- (sqrt (+ (* im im) (* re re))) re) (* (- (sqrt (+ (* im im) (* re re))) re) (- (sqrt (+ (* im im) (* re re))) re)))
  (sqrt (- (sqrt (+ (* im im) (* re re))) re))
  (sqrt (- (sqrt (+ (* im im) (* re re))) re))
  (- (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* (* re re) re))
  (+ (* re re) (+ (+ (* im im) (* re re)) (* (sqrt (+ (* im im) (* re re))) re)))
  (- re)
  (- (+ (* im im) (* re re)) (* re re))
  (+ (sqrt (+ (* im im) (* re re))) re)
  (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))
  (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))
  (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))
  (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))
  (- (sqrt (+ (* im im) (* re re))) re)
  (- re)
  im
  re
  (- re)
  (* re 2)
  (+ re im)
  0
  (- (- (/ (* (sqrt 2.0) +nan.0) (/ (sqrt 2) (* im im))) (* (* (sqrt 2.0) +nan.0) (* re (- (sqrt 2) (* re (sqrt 2)))))))
  (- (- (* (/ +nan.0 im) (/ (* re (sqrt 2.0)) im)) (* +nan.0 (- (sqrt 2.0) (/ (* re (sqrt 2.0)) im)))))
  (+ (- (* +nan.0 (/ (sqrt 2.0) im)) (* (/ +nan.0 im) (/ (sqrt 2.0) im))) (* +nan.0 (- (sqrt 2.0))))
  (- im re)
  0
  (* -2 re)
5.126 * * * [progress]: adding candidates to table
5.601 * * [progress]: iteration 3 / 4
5.601 * * * [progress]: picking best candidate
5.633 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))))>
5.633 * * * [progress]: localizing error
5.683 * * * [progress]: generating rewritten candidates
5.683 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 2 1 1)
5.689 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 2 1 1)
5.696 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
5.948 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2 2 1)
5.987 * * * [progress]: generating series expansions
5.987 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 2 1 1)
5.987 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
5.987 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
5.987 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
5.987 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
5.987 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.987 * [taylor]: Taking taylor expansion of im in im
5.987 * [backup-simplify]: Simplify 0 into 0
5.987 * [backup-simplify]: Simplify 1 into 1
5.987 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.987 * [taylor]: Taking taylor expansion of re in im
5.987 * [backup-simplify]: Simplify re into re
5.988 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.988 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
5.988 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.988 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.989 * [backup-simplify]: Simplify (+ 0 0) into 0
5.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.989 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
5.989 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
5.989 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.989 * [taylor]: Taking taylor expansion of im in re
5.989 * [backup-simplify]: Simplify im into im
5.989 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.989 * [taylor]: Taking taylor expansion of re in re
5.989 * [backup-simplify]: Simplify 0 into 0
5.989 * [backup-simplify]: Simplify 1 into 1
5.989 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.989 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
5.989 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.990 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.990 * [backup-simplify]: Simplify (+ 0 0) into 0
5.990 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.990 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
5.990 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
5.990 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.990 * [taylor]: Taking taylor expansion of im in re
5.990 * [backup-simplify]: Simplify im into im
5.990 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.990 * [taylor]: Taking taylor expansion of re in re
5.990 * [backup-simplify]: Simplify 0 into 0
5.990 * [backup-simplify]: Simplify 1 into 1
5.990 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.991 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
5.991 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.991 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.991 * [backup-simplify]: Simplify (+ 0 0) into 0
5.991 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.992 * [taylor]: Taking taylor expansion of im in im
5.992 * [backup-simplify]: Simplify 0 into 0
5.992 * [backup-simplify]: Simplify 1 into 1
5.992 * [backup-simplify]: Simplify 0 into 0
5.992 * [taylor]: Taking taylor expansion of 0 in im
5.992 * [backup-simplify]: Simplify 0 into 0
5.992 * [backup-simplify]: Simplify 0 into 0
5.992 * [backup-simplify]: Simplify 1 into 1
5.992 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.993 * [backup-simplify]: Simplify (* 1 1) into 1
5.993 * [backup-simplify]: Simplify (+ 0 1) into 1
5.994 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
5.994 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
5.994 * [taylor]: Taking taylor expansion of 1/2 in im
5.994 * [backup-simplify]: Simplify 1/2 into 1/2
5.994 * [taylor]: Taking taylor expansion of im in im
5.994 * [backup-simplify]: Simplify 0 into 0
5.994 * [backup-simplify]: Simplify 1 into 1
5.995 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.995 * [backup-simplify]: Simplify 0 into 0
5.996 * [backup-simplify]: Simplify 0 into 0
5.996 * [backup-simplify]: Simplify 0 into 0
5.996 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
5.997 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.997 * [backup-simplify]: Simplify (+ 0 0) into 0
5.998 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
5.998 * [taylor]: Taking taylor expansion of 0 in im
5.998 * [backup-simplify]: Simplify 0 into 0
5.998 * [backup-simplify]: Simplify 0 into 0
5.999 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.999 * [backup-simplify]: Simplify 0 into 0
5.999 * [backup-simplify]: Simplify 0 into 0
5.999 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
5.999 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
5.999 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
5.999 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.999 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.000 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.000 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.000 * [taylor]: Taking taylor expansion of re in im
6.000 * [backup-simplify]: Simplify re into re
6.000 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.000 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.000 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.000 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.000 * [taylor]: Taking taylor expansion of im in im
6.000 * [backup-simplify]: Simplify 0 into 0
6.000 * [backup-simplify]: Simplify 1 into 1
6.000 * [backup-simplify]: Simplify (* 1 1) into 1
6.001 * [backup-simplify]: Simplify (/ 1 1) into 1
6.001 * [backup-simplify]: Simplify (+ 0 1) into 1
6.002 * [backup-simplify]: Simplify (sqrt 1) into 1
6.004 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.005 * [backup-simplify]: Simplify (+ 0 0) into 0
6.006 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.006 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.006 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.006 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.006 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.006 * [taylor]: Taking taylor expansion of re in re
6.006 * [backup-simplify]: Simplify 0 into 0
6.006 * [backup-simplify]: Simplify 1 into 1
6.006 * [backup-simplify]: Simplify (* 1 1) into 1
6.007 * [backup-simplify]: Simplify (/ 1 1) into 1
6.007 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.007 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.007 * [taylor]: Taking taylor expansion of im in re
6.007 * [backup-simplify]: Simplify im into im
6.007 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.007 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.008 * [backup-simplify]: Simplify (+ 1 0) into 1
6.008 * [backup-simplify]: Simplify (sqrt 1) into 1
6.009 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.010 * [backup-simplify]: Simplify (+ 0 0) into 0
6.010 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.010 * [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
6.011 * [backup-simplify]: Simplify 0 into 0
6.011 * [backup-simplify]: Simplify 1 into 1
6.011 * [backup-simplify]: Simplify (* 1 1) into 1
6.011 * [backup-simplify]: Simplify (/ 1 1) into 1
6.011 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.011 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.011 * [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))
6.012 * [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
6.015 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.015 * [taylor]: Taking taylor expansion of 1 in im
6.015 * [backup-simplify]: Simplify 1 into 1
6.015 * [taylor]: Taking taylor expansion of 0 in im
6.015 * [backup-simplify]: Simplify 0 into 0
6.015 * [backup-simplify]: Simplify 1 into 1
6.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.017 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.019 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.019 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.019 * [taylor]: Taking taylor expansion of 1/2 in im
6.019 * [backup-simplify]: Simplify 1/2 into 1/2
6.019 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.019 * [taylor]: Taking taylor expansion of im in im
6.019 * [backup-simplify]: Simplify 0 into 0
6.019 * [backup-simplify]: Simplify 1 into 1
6.019 * [backup-simplify]: Simplify (* 1 1) into 1
6.020 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.020 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.021 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.021 * [backup-simplify]: Simplify 0 into 0
6.021 * [backup-simplify]: Simplify 0 into 0
6.021 * [backup-simplify]: Simplify 0 into 0
6.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.023 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.024 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.024 * [backup-simplify]: Simplify (+ 0 0) into 0
6.025 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.025 * [taylor]: Taking taylor expansion of 0 in im
6.025 * [backup-simplify]: Simplify 0 into 0
6.026 * [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
6.027 * [backup-simplify]: Simplify 0 into 0
6.027 * [backup-simplify]: Simplify 0 into 0
6.027 * [backup-simplify]: Simplify 0 into 0
6.027 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
6.028 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
6.028 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
6.028 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.028 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.028 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.028 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.028 * [taylor]: Taking taylor expansion of re in im
6.028 * [backup-simplify]: Simplify re into re
6.028 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.028 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.028 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.028 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.028 * [taylor]: Taking taylor expansion of im in im
6.028 * [backup-simplify]: Simplify 0 into 0
6.028 * [backup-simplify]: Simplify 1 into 1
6.029 * [backup-simplify]: Simplify (* 1 1) into 1
6.029 * [backup-simplify]: Simplify (/ 1 1) into 1
6.030 * [backup-simplify]: Simplify (+ 0 1) into 1
6.030 * [backup-simplify]: Simplify (sqrt 1) into 1
6.031 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.031 * [backup-simplify]: Simplify (+ 0 0) into 0
6.032 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.032 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.032 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.032 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.032 * [taylor]: Taking taylor expansion of (pow re 2) in re
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 1) into 1
6.032 * [backup-simplify]: Simplify (/ 1 1) into 1
6.032 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.032 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.032 * [taylor]: Taking taylor expansion of im in re
6.032 * [backup-simplify]: Simplify im into im
6.032 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.033 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.033 * [backup-simplify]: Simplify (+ 1 0) into 1
6.033 * [backup-simplify]: Simplify (sqrt 1) into 1
6.033 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.034 * [backup-simplify]: Simplify (+ 0 0) into 0
6.034 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.034 * [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
6.035 * [backup-simplify]: Simplify (/ 1 1) into 1
6.035 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.035 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.035 * [taylor]: Taking taylor expansion of im in re
6.035 * [backup-simplify]: Simplify im into im
6.035 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.035 * [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
6.036 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.037 * [backup-simplify]: Simplify (+ 0 0) into 0
6.037 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.037 * [taylor]: Taking taylor expansion of 1 in im
6.037 * [backup-simplify]: Simplify 1 into 1
6.037 * [taylor]: Taking taylor expansion of 0 in im
6.037 * [backup-simplify]: Simplify 0 into 0
6.037 * [backup-simplify]: Simplify 1 into 1
6.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.039 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.039 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.039 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.039 * [taylor]: Taking taylor expansion of 1/2 in im
6.040 * [backup-simplify]: Simplify 1/2 into 1/2
6.040 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.040 * [taylor]: Taking taylor expansion of im in im
6.040 * [backup-simplify]: Simplify 0 into 0
6.040 * [backup-simplify]: Simplify 1 into 1
6.040 * [backup-simplify]: Simplify (* 1 1) into 1
6.040 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.041 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.041 * [backup-simplify]: Simplify 0 into 0
6.041 * [backup-simplify]: Simplify 0 into 0
6.041 * [backup-simplify]: Simplify 0 into 0
6.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.042 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.042 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.043 * [backup-simplify]: Simplify (+ 0 0) into 0
6.043 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.043 * [taylor]: Taking taylor expansion of 0 in im
6.043 * [backup-simplify]: Simplify 0 into 0
6.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.044 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.044 * [backup-simplify]: Simplify 0 into 0
6.044 * [backup-simplify]: Simplify 0 into 0
6.044 * [backup-simplify]: Simplify 0 into 0
6.044 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
6.044 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 2 1 1)
6.045 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
6.045 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
6.045 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
6.045 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
6.045 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.045 * [taylor]: Taking taylor expansion of im in im
6.045 * [backup-simplify]: Simplify 0 into 0
6.045 * [backup-simplify]: Simplify 1 into 1
6.045 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.045 * [taylor]: Taking taylor expansion of re in im
6.045 * [backup-simplify]: Simplify re into re
6.045 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.045 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
6.045 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.045 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.045 * [backup-simplify]: Simplify (+ 0 0) into 0
6.045 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.045 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
6.045 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
6.045 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.045 * [taylor]: Taking taylor expansion of im in re
6.045 * [backup-simplify]: Simplify im into im
6.045 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.045 * [taylor]: Taking taylor expansion of re in re
6.045 * [backup-simplify]: Simplify 0 into 0
6.045 * [backup-simplify]: Simplify 1 into 1
6.046 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.046 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
6.046 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.046 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.046 * [backup-simplify]: Simplify (+ 0 0) into 0
6.046 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.046 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
6.046 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
6.046 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.046 * [taylor]: Taking taylor expansion of im in re
6.046 * [backup-simplify]: Simplify im into im
6.046 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.046 * [taylor]: Taking taylor expansion of re in re
6.046 * [backup-simplify]: Simplify 0 into 0
6.046 * [backup-simplify]: Simplify 1 into 1
6.046 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.046 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
6.046 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.047 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.047 * [backup-simplify]: Simplify (+ 0 0) into 0
6.047 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.047 * [taylor]: Taking taylor expansion of im in im
6.047 * [backup-simplify]: Simplify 0 into 0
6.047 * [backup-simplify]: Simplify 1 into 1
6.047 * [backup-simplify]: Simplify 0 into 0
6.047 * [taylor]: Taking taylor expansion of 0 in im
6.047 * [backup-simplify]: Simplify 0 into 0
6.047 * [backup-simplify]: Simplify 0 into 0
6.047 * [backup-simplify]: Simplify 1 into 1
6.047 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.048 * [backup-simplify]: Simplify (* 1 1) into 1
6.048 * [backup-simplify]: Simplify (+ 0 1) into 1
6.048 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.048 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
6.048 * [taylor]: Taking taylor expansion of 1/2 in im
6.048 * [backup-simplify]: Simplify 1/2 into 1/2
6.048 * [taylor]: Taking taylor expansion of im in im
6.048 * [backup-simplify]: Simplify 0 into 0
6.048 * [backup-simplify]: Simplify 1 into 1
6.049 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.049 * [backup-simplify]: Simplify 0 into 0
6.049 * [backup-simplify]: Simplify 0 into 0
6.049 * [backup-simplify]: Simplify 0 into 0
6.050 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.050 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.050 * [backup-simplify]: Simplify (+ 0 0) into 0
6.050 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.050 * [taylor]: Taking taylor expansion of 0 in im
6.051 * [backup-simplify]: Simplify 0 into 0
6.051 * [backup-simplify]: Simplify 0 into 0
6.051 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.051 * [backup-simplify]: Simplify 0 into 0
6.051 * [backup-simplify]: Simplify 0 into 0
6.051 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
6.051 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
6.051 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
6.051 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.051 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.052 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.052 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.052 * [taylor]: Taking taylor expansion of re in im
6.052 * [backup-simplify]: Simplify re into re
6.052 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.052 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.052 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.052 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.052 * [taylor]: Taking taylor expansion of im in im
6.052 * [backup-simplify]: Simplify 0 into 0
6.052 * [backup-simplify]: Simplify 1 into 1
6.052 * [backup-simplify]: Simplify (* 1 1) into 1
6.052 * [backup-simplify]: Simplify (/ 1 1) into 1
6.053 * [backup-simplify]: Simplify (+ 0 1) into 1
6.053 * [backup-simplify]: Simplify (sqrt 1) into 1
6.053 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.054 * [backup-simplify]: Simplify (+ 0 0) into 0
6.054 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.054 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.054 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.054 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.054 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.054 * [taylor]: Taking taylor expansion of re in re
6.054 * [backup-simplify]: Simplify 0 into 0
6.054 * [backup-simplify]: Simplify 1 into 1
6.055 * [backup-simplify]: Simplify (* 1 1) into 1
6.055 * [backup-simplify]: Simplify (/ 1 1) into 1
6.055 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.055 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.055 * [taylor]: Taking taylor expansion of im in re
6.055 * [backup-simplify]: Simplify im into im
6.055 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.055 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.055 * [backup-simplify]: Simplify (+ 1 0) into 1
6.056 * [backup-simplify]: Simplify (sqrt 1) into 1
6.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.057 * [backup-simplify]: Simplify (+ 0 0) into 0
6.057 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.057 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.057 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.057 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.057 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.057 * [taylor]: Taking taylor expansion of re in re
6.057 * [backup-simplify]: Simplify 0 into 0
6.057 * [backup-simplify]: Simplify 1 into 1
6.057 * [backup-simplify]: Simplify (* 1 1) into 1
6.058 * [backup-simplify]: Simplify (/ 1 1) into 1
6.058 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.058 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.058 * [taylor]: Taking taylor expansion of im in re
6.058 * [backup-simplify]: Simplify im into im
6.058 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.058 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.058 * [backup-simplify]: Simplify (+ 1 0) into 1
6.058 * [backup-simplify]: Simplify (sqrt 1) into 1
6.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.060 * [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 1 in im
6.061 * [backup-simplify]: Simplify 1 into 1
6.061 * [taylor]: Taking taylor expansion of 0 in im
6.061 * [backup-simplify]: Simplify 0 into 0
6.061 * [backup-simplify]: Simplify 1 into 1
6.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.063 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.064 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.064 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.064 * [taylor]: Taking taylor expansion of 1/2 in im
6.064 * [backup-simplify]: Simplify 1/2 into 1/2
6.064 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.064 * [taylor]: Taking taylor expansion of im in im
6.064 * [backup-simplify]: Simplify 0 into 0
6.064 * [backup-simplify]: Simplify 1 into 1
6.065 * [backup-simplify]: Simplify (* 1 1) into 1
6.065 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.067 * [backup-simplify]: Simplify 0 into 0
6.067 * [backup-simplify]: Simplify 0 into 0
6.067 * [backup-simplify]: Simplify 0 into 0
6.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.069 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.069 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.069 * [backup-simplify]: Simplify (+ 0 0) into 0
6.070 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.070 * [taylor]: Taking taylor expansion of 0 in im
6.070 * [backup-simplify]: Simplify 0 into 0
6.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.072 * [backup-simplify]: Simplify 0 into 0
6.072 * [backup-simplify]: Simplify 0 into 0
6.072 * [backup-simplify]: Simplify 0 into 0
6.072 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
6.072 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
6.073 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
6.073 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.073 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.073 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.073 * [taylor]: Taking taylor expansion of re in im
6.073 * [backup-simplify]: Simplify re into re
6.073 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.073 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.073 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.073 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.073 * [taylor]: Taking taylor expansion of im in im
6.073 * [backup-simplify]: Simplify 0 into 0
6.073 * [backup-simplify]: Simplify 1 into 1
6.073 * [backup-simplify]: Simplify (* 1 1) into 1
6.074 * [backup-simplify]: Simplify (/ 1 1) into 1
6.074 * [backup-simplify]: Simplify (+ 0 1) into 1
6.075 * [backup-simplify]: Simplify (sqrt 1) into 1
6.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.076 * [backup-simplify]: Simplify (+ 0 0) into 0
6.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.077 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.077 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.077 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.077 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.077 * [taylor]: Taking taylor expansion of re in re
6.077 * [backup-simplify]: Simplify 0 into 0
6.077 * [backup-simplify]: Simplify 1 into 1
6.077 * [backup-simplify]: Simplify (* 1 1) into 1
6.078 * [backup-simplify]: Simplify (/ 1 1) into 1
6.078 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.078 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.078 * [taylor]: Taking taylor expansion of im in re
6.078 * [backup-simplify]: Simplify im into im
6.078 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.078 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.079 * [backup-simplify]: Simplify (+ 1 0) into 1
6.079 * [backup-simplify]: Simplify (sqrt 1) into 1
6.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.081 * [backup-simplify]: Simplify (+ 0 0) into 0
6.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 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
6.082 * [backup-simplify]: Simplify (* 1 1) into 1
6.082 * [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
6.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.085 * [backup-simplify]: Simplify (+ 0 0) into 0
6.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.086 * [taylor]: Taking taylor expansion of 1 in im
6.086 * [backup-simplify]: Simplify 1 into 1
6.086 * [taylor]: Taking taylor expansion of 0 in im
6.086 * [backup-simplify]: Simplify 0 into 0
6.086 * [backup-simplify]: Simplify 1 into 1
6.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.089 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.090 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.090 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.090 * [taylor]: Taking taylor expansion of 1/2 in im
6.090 * [backup-simplify]: Simplify 1/2 into 1/2
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
6.090 * [backup-simplify]: Simplify (* 1 1) into 1
6.091 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.092 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.092 * [backup-simplify]: Simplify 0 into 0
6.093 * [backup-simplify]: Simplify 0 into 0
6.093 * [backup-simplify]: Simplify 0 into 0
6.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.095 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.095 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.096 * [backup-simplify]: Simplify (+ 0 0) into 0
6.096 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.096 * [taylor]: Taking taylor expansion of 0 in im
6.096 * [backup-simplify]: Simplify 0 into 0
6.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.098 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.098 * [backup-simplify]: Simplify 0 into 0
6.098 * [backup-simplify]: Simplify 0 into 0
6.098 * [backup-simplify]: Simplify 0 into 0
6.099 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
6.099 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
6.099 * [backup-simplify]: Simplify (sqrt (* 2.0 (* (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) into (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))))
6.099 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in (im re) around 0
6.099 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in re
6.099 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re
6.100 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.100 * [taylor]: Taking taylor expansion of 2.0 in re
6.100 * [backup-simplify]: Simplify 2.0 into 2.0
6.100 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.101 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.101 * [taylor]: Taking taylor expansion of im in re
6.101 * [backup-simplify]: Simplify im into im
6.101 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in re
6.101 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re
6.101 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
6.101 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
6.101 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
6.101 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.101 * [taylor]: Taking taylor expansion of im in re
6.101 * [backup-simplify]: Simplify im into im
6.101 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.101 * [taylor]: Taking taylor expansion of re in re
6.101 * [backup-simplify]: Simplify 0 into 0
6.101 * [backup-simplify]: Simplify 1 into 1
6.101 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.101 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
6.102 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.102 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.102 * [backup-simplify]: Simplify (+ 0 0) into 0
6.102 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.102 * [taylor]: Taking taylor expansion of re in re
6.102 * [backup-simplify]: Simplify 0 into 0
6.102 * [backup-simplify]: Simplify 1 into 1
6.103 * [backup-simplify]: Simplify (- 0) into 0
6.103 * [backup-simplify]: Simplify (+ im 0) into im
6.103 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.103 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im))
6.103 * [backup-simplify]: Simplify (- 1) into -1
6.104 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.104 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ -1 im)))) into (/ 1 (pow im 2))
6.104 * [backup-simplify]: Simplify (/ (/ 1 (pow im 2)) (* 2 (sqrt (/ 1 im)))) into (* 1/2 (sqrt (/ 1 (pow im 3))))
6.104 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in im
6.104 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im
6.104 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.104 * [taylor]: Taking taylor expansion of 2.0 in im
6.104 * [backup-simplify]: Simplify 2.0 into 2.0
6.105 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.105 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.105 * [taylor]: Taking taylor expansion of im in im
6.105 * [backup-simplify]: Simplify 0 into 0
6.105 * [backup-simplify]: Simplify 1 into 1
6.105 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im
6.105 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im
6.105 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im
6.105 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
6.105 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
6.105 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.106 * [taylor]: Taking taylor expansion of im in im
6.106 * [backup-simplify]: Simplify 0 into 0
6.106 * [backup-simplify]: Simplify 1 into 1
6.106 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.106 * [taylor]: Taking taylor expansion of re in im
6.106 * [backup-simplify]: Simplify re into re
6.106 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.106 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
6.106 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.106 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.106 * [backup-simplify]: Simplify (+ 0 0) into 0
6.107 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.107 * [taylor]: Taking taylor expansion of re in im
6.107 * [backup-simplify]: Simplify re into re
6.107 * [backup-simplify]: Simplify (- re) into (- re)
6.107 * [backup-simplify]: Simplify (+ re (- re)) into 0
6.107 * [backup-simplify]: Simplify (- 0) into 0
6.107 * [backup-simplify]: Simplify (+ 0 0) into 0
6.108 * [backup-simplify]: Simplify (* 1 1) into 1
6.108 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
6.108 * [backup-simplify]: Simplify (+ 1 0) into 1
6.109 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
6.110 * [backup-simplify]: Simplify (- 0) into 0
6.110 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
6.110 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re)
6.110 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re))
6.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.111 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
6.112 * [backup-simplify]: Simplify (+ 0 0) into 0
6.112 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
6.112 * [backup-simplify]: Simplify (- 0) into 0
6.113 * [backup-simplify]: Simplify (+ 0 0) into 0
6.113 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0
6.113 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
6.113 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in im
6.113 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im
6.113 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.113 * [taylor]: Taking taylor expansion of 2.0 in im
6.113 * [backup-simplify]: Simplify 2.0 into 2.0
6.113 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.114 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.115 * [taylor]: Taking taylor expansion of im in im
6.115 * [backup-simplify]: Simplify 0 into 0
6.115 * [backup-simplify]: Simplify 1 into 1
6.115 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im
6.115 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im
6.115 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im
6.115 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
6.115 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
6.115 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.115 * [taylor]: Taking taylor expansion of im in im
6.115 * [backup-simplify]: Simplify 0 into 0
6.115 * [backup-simplify]: Simplify 1 into 1
6.115 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.115 * [taylor]: Taking taylor expansion of re in im
6.115 * [backup-simplify]: Simplify re into re
6.115 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.116 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
6.116 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.116 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.116 * [backup-simplify]: Simplify (+ 0 0) into 0
6.117 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.117 * [taylor]: Taking taylor expansion of re in im
6.117 * [backup-simplify]: Simplify re into re
6.117 * [backup-simplify]: Simplify (- re) into (- re)
6.117 * [backup-simplify]: Simplify (+ re (- re)) into 0
6.117 * [backup-simplify]: Simplify (- 0) into 0
6.118 * [backup-simplify]: Simplify (+ 0 0) into 0
6.118 * [backup-simplify]: Simplify (* 1 1) into 1
6.118 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
6.119 * [backup-simplify]: Simplify (+ 1 0) into 1
6.120 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
6.120 * [backup-simplify]: Simplify (- 0) into 0
6.120 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
6.120 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re)
6.120 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re))
6.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.122 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
6.122 * [backup-simplify]: Simplify (+ 0 0) into 0
6.122 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
6.123 * [backup-simplify]: Simplify (- 0) into 0
6.123 * [backup-simplify]: Simplify (+ 0 0) into 0
6.123 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0
6.123 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
6.124 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
6.124 * [backup-simplify]: Simplify (* 0 (* (sqrt 2) (sqrt re))) into 0
6.125 * [taylor]: Taking taylor expansion of 0 in re
6.125 * [backup-simplify]: Simplify 0 into 0
6.125 * [backup-simplify]: Simplify 0 into 0
6.127 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0)
6.128 * [backup-simplify]: Simplify (+ (* 0 0) (* (sqrt 2.0) (* (sqrt 2) (sqrt re)))) into (* (* (sqrt 2.0) (sqrt 2)) (sqrt re))
6.128 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 2)) (sqrt re)) in re
6.128 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 2)) in re
6.128 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.128 * [taylor]: Taking taylor expansion of 2.0 in re
6.128 * [backup-simplify]: Simplify 2.0 into 2.0
6.128 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.129 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.129 * [taylor]: Taking taylor expansion of (sqrt 2) in re
6.129 * [taylor]: Taking taylor expansion of 2 in re
6.129 * [backup-simplify]: Simplify 2 into 2
6.130 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
6.131 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
6.131 * [taylor]: Taking taylor expansion of (sqrt re) in re
6.131 * [taylor]: Taking taylor expansion of re in re
6.131 * [backup-simplify]: Simplify 0 into 0
6.131 * [backup-simplify]: Simplify 1 into 1
6.131 * [backup-simplify]: Simplify (sqrt 0) into 0
6.133 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.136 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2)) into (* (sqrt 2.0) (sqrt 2))
6.137 * [backup-simplify]: Simplify (* (* (sqrt 2.0) (sqrt 2)) 0) into 0
6.137 * [backup-simplify]: Simplify 0 into 0
6.137 * [backup-simplify]: Simplify 0 into 0
6.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.139 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re))))) into 0
6.140 * [backup-simplify]: Simplify (+ 0 0) into 0
6.141 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 re) 2) (+ (* 2 (* 0 0)))) (* 2 re)) into (/ -1/8 (pow re 3))
6.141 * [backup-simplify]: Simplify (- 0) into 0
6.141 * [backup-simplify]: Simplify (+ (/ -1/8 (pow re 3)) 0) into (- (* 1/8 (/ 1 (pow re 3))))
6.142 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* 0 (/ 0 (* 1/2 (/ 1 re)))))) into (* 1/2 (/ 1 re))
6.143 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 re)) (pow 0 2) (+)) (* 2 (* (sqrt 2) (sqrt re)))) into (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3)))))
6.144 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.146 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0
6.148 * [backup-simplify]: Simplify (+ (* 0 (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3)))))) (+ (* (sqrt 2.0) 0) (* 0 (* (sqrt 2) (sqrt re))))) into 0
6.148 * [taylor]: Taking taylor expansion of 0 in re
6.148 * [backup-simplify]: Simplify 0 into 0
6.148 * [backup-simplify]: Simplify 0 into 0
6.149 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2))) into 0
6.153 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2))))
6.156 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2))))
6.156 * [backup-simplify]: Simplify 0 into 0
6.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.159 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))))) into 0
6.159 * [backup-simplify]: Simplify (+ 0 0) into 0
6.159 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (pow re 3)))) (* 2 (* (/ 1/2 re) 0)))) (* 2 re)) into 0
6.159 * [backup-simplify]: Simplify (- 0) into 0
6.160 * [backup-simplify]: Simplify (+ 0 0) into 0
6.160 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))) (* 0 (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* (* 1/2 (/ 1 re)) (/ 0 (* 1/2 (/ 1 re)))))) into 0
6.161 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3))))))))) (* 2 (* (sqrt 2) (sqrt re)))) into 0
6.162 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.162 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
6.164 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (sqrt 2.0) (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3)))))) (+ (* 0 0) (* 0 (* (sqrt 2) (sqrt re)))))) into (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3)))))
6.164 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) in re
6.164 * [taylor]: Taking taylor expansion of 1/4 in re
6.164 * [backup-simplify]: Simplify 1/4 into 1/4
6.164 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3)))) in re
6.164 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 2)) in re
6.164 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.164 * [taylor]: Taking taylor expansion of 2.0 in re
6.164 * [backup-simplify]: Simplify 2.0 into 2.0
6.165 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.165 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.165 * [taylor]: Taking taylor expansion of (sqrt 2) in re
6.165 * [taylor]: Taking taylor expansion of 2 in re
6.165 * [backup-simplify]: Simplify 2 into 2
6.165 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
6.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
6.166 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt 2)) into (/ (sqrt 2.0) (sqrt 2))
6.166 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 3))) in re
6.166 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re
6.166 * [taylor]: Taking taylor expansion of (pow re 3) in re
6.167 * [taylor]: Taking taylor expansion of re in re
6.167 * [backup-simplify]: Simplify 0 into 0
6.167 * [backup-simplify]: Simplify 1 into 1
6.167 * [backup-simplify]: Simplify (* 1 1) into 1
6.167 * [backup-simplify]: Simplify (* 1 1) into 1
6.167 * [backup-simplify]: Simplify (/ 1 1) into 1
6.167 * [backup-simplify]: Simplify (sqrt 0) into 0
6.168 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.171 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.172 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqrt 2.0) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
6.173 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.174 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
6.175 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqrt 2.0) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
6.177 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))
6.180 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))
6.180 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (sqrt 2)) 0) into 0
6.185 * [backup-simplify]: Simplify (+ (* 1/4 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))
6.187 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))
6.187 * [backup-simplify]: Simplify 0 into 0
6.188 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.189 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
6.190 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.190 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0
6.193 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2))))
6.195 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2))))
6.200 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) (pow (* re 1) 2)) (+ (* (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) (pow (* 1 im) 2)) (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) (* re 1)))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) re))) (- (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) (pow re 2)))))))))
6.201 * [backup-simplify]: Simplify (sqrt (* 2.0 (* (/ (/ 1 im) (sqrt (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) (/ (/ 1 im) (sqrt (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))))
6.201 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in (im re) around 0
6.201 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in re
6.201 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re
6.201 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.201 * [taylor]: Taking taylor expansion of 2.0 in re
6.201 * [backup-simplify]: Simplify 2.0 into 2.0
6.201 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.202 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.202 * [taylor]: Taking taylor expansion of im in re
6.202 * [backup-simplify]: Simplify im into im
6.202 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im)
6.202 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re
6.202 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
6.202 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
6.202 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.202 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.202 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.202 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.202 * [taylor]: Taking taylor expansion of re in re
6.202 * [backup-simplify]: Simplify 0 into 0
6.202 * [backup-simplify]: Simplify 1 into 1
6.203 * [backup-simplify]: Simplify (* 1 1) into 1
6.203 * [backup-simplify]: Simplify (/ 1 1) into 1
6.203 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.203 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.203 * [taylor]: Taking taylor expansion of im in re
6.203 * [backup-simplify]: Simplify im into im
6.203 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.203 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.204 * [backup-simplify]: Simplify (+ 1 0) into 1
6.204 * [backup-simplify]: Simplify (sqrt 1) into 1
6.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.206 * [backup-simplify]: Simplify (+ 0 0) into 0
6.206 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.207 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.207 * [taylor]: Taking taylor expansion of re in re
6.207 * [backup-simplify]: Simplify 0 into 0
6.207 * [backup-simplify]: Simplify 1 into 1
6.207 * [backup-simplify]: Simplify (/ 1 1) into 1
6.207 * [backup-simplify]: Simplify (- 1) into -1
6.208 * [backup-simplify]: Simplify (+ 1 -1) into 0
6.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.209 * [backup-simplify]: Simplify (- 0) into 0
6.209 * [backup-simplify]: Simplify (+ 0 0) into 0
6.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.211 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.212 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.214 * [backup-simplify]: Simplify (- 0) into 0
6.214 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
6.214 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2))
6.214 * [backup-simplify]: Simplify (sqrt 0) into 0
6.215 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2))
6.215 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im
6.215 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
6.215 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.215 * [taylor]: Taking taylor expansion of 2.0 in im
6.215 * [backup-simplify]: Simplify 2.0 into 2.0
6.216 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.216 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.216 * [taylor]: Taking taylor expansion of im in im
6.216 * [backup-simplify]: Simplify 0 into 0
6.216 * [backup-simplify]: Simplify 1 into 1
6.217 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
6.217 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im
6.217 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im
6.217 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
6.217 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.217 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.217 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.217 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.217 * [taylor]: Taking taylor expansion of re in im
6.217 * [backup-simplify]: Simplify re into re
6.217 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.218 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.218 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.218 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.218 * [taylor]: Taking taylor expansion of im in im
6.218 * [backup-simplify]: Simplify 0 into 0
6.218 * [backup-simplify]: Simplify 1 into 1
6.218 * [backup-simplify]: Simplify (* 1 1) into 1
6.218 * [backup-simplify]: Simplify (/ 1 1) into 1
6.219 * [backup-simplify]: Simplify (+ 0 1) into 1
6.219 * [backup-simplify]: Simplify (sqrt 1) into 1
6.220 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.221 * [backup-simplify]: Simplify (+ 0 0) into 0
6.222 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.222 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.222 * [taylor]: Taking taylor expansion of re in im
6.222 * [backup-simplify]: Simplify re into re
6.222 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.222 * [backup-simplify]: Simplify (+ 1 0) into 1
6.223 * [backup-simplify]: Simplify (/ 1 1) into 1
6.223 * [backup-simplify]: Simplify (sqrt 0) into 0
6.224 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.224 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im
6.224 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
6.224 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.224 * [taylor]: Taking taylor expansion of 2.0 in im
6.224 * [backup-simplify]: Simplify 2.0 into 2.0
6.225 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.225 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.225 * [taylor]: Taking taylor expansion of im in im
6.225 * [backup-simplify]: Simplify 0 into 0
6.225 * [backup-simplify]: Simplify 1 into 1
6.226 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
6.226 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im
6.226 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im
6.226 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
6.226 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.226 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.226 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.226 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.227 * [taylor]: Taking taylor expansion of re in im
6.227 * [backup-simplify]: Simplify re into re
6.227 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.227 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.227 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.227 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.227 * [taylor]: Taking taylor expansion of im in im
6.227 * [backup-simplify]: Simplify 0 into 0
6.227 * [backup-simplify]: Simplify 1 into 1
6.227 * [backup-simplify]: Simplify (* 1 1) into 1
6.228 * [backup-simplify]: Simplify (/ 1 1) into 1
6.228 * [backup-simplify]: Simplify (+ 0 1) into 1
6.228 * [backup-simplify]: Simplify (sqrt 1) into 1
6.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.230 * [backup-simplify]: Simplify (+ 0 0) into 0
6.231 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.231 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.231 * [taylor]: Taking taylor expansion of re in im
6.231 * [backup-simplify]: Simplify re into re
6.231 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.231 * [backup-simplify]: Simplify (+ 1 0) into 1
6.231 * [backup-simplify]: Simplify (/ 1 1) into 1
6.232 * [backup-simplify]: Simplify (sqrt 0) into 0
6.233 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.233 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
6.233 * [taylor]: Taking taylor expansion of 0 in re
6.233 * [backup-simplify]: Simplify 0 into 0
6.234 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
6.235 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
6.235 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re
6.235 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
6.235 * [taylor]: Taking taylor expansion of +nan.0 in re
6.235 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.235 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.235 * [taylor]: Taking taylor expansion of 2.0 in re
6.235 * [backup-simplify]: Simplify 2.0 into 2.0
6.235 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.236 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.236 * [backup-simplify]: Simplify 0 into 0
6.236 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re))
6.236 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re))
6.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re)
6.237 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0))
6.237 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.240 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))
6.240 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re
6.240 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re
6.240 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
6.240 * [taylor]: Taking taylor expansion of +nan.0 in re
6.240 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.240 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.240 * [taylor]: Taking taylor expansion of 2.0 in re
6.240 * [backup-simplify]: Simplify 2.0 into 2.0
6.241 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.241 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.241 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re
6.241 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
6.241 * [taylor]: Taking taylor expansion of +nan.0 in re
6.241 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.241 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
6.241 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.241 * [taylor]: Taking taylor expansion of 2.0 in re
6.241 * [backup-simplify]: Simplify 2.0 into 2.0
6.242 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.242 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.242 * [taylor]: Taking taylor expansion of re in re
6.242 * [backup-simplify]: Simplify 0 into 0
6.242 * [backup-simplify]: Simplify 1 into 1
6.243 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
6.243 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
6.244 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.245 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
6.247 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
6.247 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.248 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
6.249 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.250 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.250 * [backup-simplify]: Simplify 0 into 0
6.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.251 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
6.252 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
6.252 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
6.252 * [backup-simplify]: Simplify (- 0) into 0
6.252 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2)))
6.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2)))
6.253 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 re) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))
6.254 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.255 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
6.256 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) in re
6.256 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))) in re
6.256 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
6.256 * [taylor]: Taking taylor expansion of +nan.0 in re
6.256 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.256 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.256 * [taylor]: Taking taylor expansion of 2.0 in re
6.256 * [backup-simplify]: Simplify 2.0 into 2.0
6.256 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.256 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.256 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))) in re
6.256 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))) in re
6.256 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
6.256 * [taylor]: Taking taylor expansion of +nan.0 in re
6.256 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.256 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
6.257 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.257 * [taylor]: Taking taylor expansion of 2.0 in re
6.257 * [backup-simplify]: Simplify 2.0 into 2.0
6.257 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.257 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.257 * [taylor]: Taking taylor expansion of re in re
6.257 * [backup-simplify]: Simplify 0 into 0
6.257 * [backup-simplify]: Simplify 1 into 1
6.258 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
6.258 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))) in re
6.258 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re
6.258 * [taylor]: Taking taylor expansion of +nan.0 in re
6.258 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.258 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re
6.258 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.258 * [taylor]: Taking taylor expansion of 2.0 in re
6.258 * [backup-simplify]: Simplify 2.0 into 2.0
6.258 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.259 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.259 * [taylor]: Taking taylor expansion of re in re
6.259 * [backup-simplify]: Simplify 0 into 0
6.259 * [backup-simplify]: Simplify 1 into 1
6.259 * [backup-simplify]: Simplify (* 1 1) into 1
6.259 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
6.260 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
6.260 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.261 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
6.261 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
6.262 * [backup-simplify]: Simplify (- 0) into 0
6.263 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
6.264 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
6.265 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
6.267 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
6.268 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.273 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 re)) (pow (/ 1 im) 2))) (+ (- (* +nan.0 (sqrt 2.0))) (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 re)) (/ 1 im))))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2))) (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (* (sqrt 2.0) re) im)))))))
6.275 * [backup-simplify]: Simplify (sqrt (* 2.0 (* (/ (/ 1 (- im)) (sqrt (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) (/ (/ 1 (- im)) (sqrt (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))))
6.275 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in (im re) around 0
6.275 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in re
6.275 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re
6.275 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.275 * [taylor]: Taking taylor expansion of 2.0 in re
6.275 * [backup-simplify]: Simplify 2.0 into 2.0
6.275 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.276 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.276 * [taylor]: Taking taylor expansion of im in re
6.276 * [backup-simplify]: Simplify im into im
6.276 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im)
6.276 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re
6.276 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
6.276 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
6.277 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.277 * [taylor]: Taking taylor expansion of re in re
6.277 * [backup-simplify]: Simplify 0 into 0
6.277 * [backup-simplify]: Simplify 1 into 1
6.277 * [backup-simplify]: Simplify (/ 1 1) into 1
6.277 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.277 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.277 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.277 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.277 * [taylor]: Taking taylor expansion of re in re
6.277 * [backup-simplify]: Simplify 0 into 0
6.277 * [backup-simplify]: Simplify 1 into 1
6.278 * [backup-simplify]: Simplify (* 1 1) into 1
6.278 * [backup-simplify]: Simplify (/ 1 1) into 1
6.278 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.278 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.278 * [taylor]: Taking taylor expansion of im in re
6.278 * [backup-simplify]: Simplify im into im
6.278 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.278 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.279 * [backup-simplify]: Simplify (+ 1 0) into 1
6.279 * [backup-simplify]: Simplify (sqrt 1) into 1
6.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.281 * [backup-simplify]: Simplify (+ 0 0) into 0
6.282 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.282 * [backup-simplify]: Simplify (+ 1 1) into 2
6.283 * [backup-simplify]: Simplify (/ 1 2) into 1/2
6.283 * [backup-simplify]: Simplify (sqrt 0) into 0
6.285 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0
6.285 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in im
6.285 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
6.285 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.285 * [taylor]: Taking taylor expansion of 2.0 in im
6.285 * [backup-simplify]: Simplify 2.0 into 2.0
6.285 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.286 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.286 * [taylor]: Taking taylor expansion of im in im
6.286 * [backup-simplify]: Simplify 0 into 0
6.286 * [backup-simplify]: Simplify 1 into 1
6.287 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
6.287 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im
6.287 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
6.287 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
6.287 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.287 * [taylor]: Taking taylor expansion of re in im
6.287 * [backup-simplify]: Simplify re into re
6.287 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.287 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.287 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.287 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.287 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.287 * [taylor]: Taking taylor expansion of re in im
6.287 * [backup-simplify]: Simplify re into re
6.287 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.287 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.287 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.288 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.288 * [taylor]: Taking taylor expansion of im in im
6.288 * [backup-simplify]: Simplify 0 into 0
6.288 * [backup-simplify]: Simplify 1 into 1
6.288 * [backup-simplify]: Simplify (* 1 1) into 1
6.288 * [backup-simplify]: Simplify (/ 1 1) into 1
6.289 * [backup-simplify]: Simplify (+ 0 1) into 1
6.289 * [backup-simplify]: Simplify (sqrt 1) into 1
6.290 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.291 * [backup-simplify]: Simplify (+ 0 0) into 0
6.292 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.292 * [backup-simplify]: Simplify (+ 0 1) into 1
6.292 * [backup-simplify]: Simplify (/ 1 1) into 1
6.293 * [backup-simplify]: Simplify (sqrt 0) into 0
6.294 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.294 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in im
6.294 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
6.294 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.294 * [taylor]: Taking taylor expansion of 2.0 in im
6.294 * [backup-simplify]: Simplify 2.0 into 2.0
6.294 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.295 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.295 * [taylor]: Taking taylor expansion of im in im
6.295 * [backup-simplify]: Simplify 0 into 0
6.295 * [backup-simplify]: Simplify 1 into 1
6.296 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
6.296 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im
6.296 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
6.296 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
6.296 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.296 * [taylor]: Taking taylor expansion of re in im
6.296 * [backup-simplify]: Simplify re into re
6.296 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.296 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.296 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.296 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.296 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.296 * [taylor]: Taking taylor expansion of re in im
6.296 * [backup-simplify]: Simplify re into re
6.297 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.297 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.297 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.297 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.297 * [taylor]: Taking taylor expansion of im in im
6.297 * [backup-simplify]: Simplify 0 into 0
6.297 * [backup-simplify]: Simplify 1 into 1
6.297 * [backup-simplify]: Simplify (* 1 1) into 1
6.298 * [backup-simplify]: Simplify (/ 1 1) into 1
6.298 * [backup-simplify]: Simplify (+ 0 1) into 1
6.298 * [backup-simplify]: Simplify (sqrt 1) into 1
6.299 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.300 * [backup-simplify]: Simplify (+ 0 0) into 0
6.301 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.301 * [backup-simplify]: Simplify (+ 0 1) into 1
6.301 * [backup-simplify]: Simplify (/ 1 1) into 1
6.302 * [backup-simplify]: Simplify (sqrt 0) into 0
6.303 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.304 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
6.304 * [taylor]: Taking taylor expansion of 0 in re
6.304 * [backup-simplify]: Simplify 0 into 0
6.304 * [backup-simplify]: Simplify 0 into 0
6.305 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
6.307 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
6.307 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re
6.307 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
6.307 * [taylor]: Taking taylor expansion of +nan.0 in re
6.307 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.307 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.307 * [taylor]: Taking taylor expansion of 2.0 in re
6.307 * [backup-simplify]: Simplify 2.0 into 2.0
6.307 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.308 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.309 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
6.310 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.314 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.314 * [backup-simplify]: Simplify 0 into 0
6.314 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re)
6.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re))
6.316 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0)))
6.317 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.318 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.319 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))
6.320 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re
6.320 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re
6.320 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
6.320 * [taylor]: Taking taylor expansion of +nan.0 in re
6.320 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.320 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.320 * [taylor]: Taking taylor expansion of 2.0 in re
6.320 * [backup-simplify]: Simplify 2.0 into 2.0
6.320 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.321 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re
6.321 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
6.321 * [taylor]: Taking taylor expansion of +nan.0 in re
6.321 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.321 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
6.321 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.321 * [taylor]: Taking taylor expansion of 2.0 in re
6.321 * [backup-simplify]: Simplify 2.0 into 2.0
6.321 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.322 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.322 * [taylor]: Taking taylor expansion of re in re
6.322 * [backup-simplify]: Simplify 0 into 0
6.322 * [backup-simplify]: Simplify 1 into 1
6.323 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
6.324 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
6.325 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
6.326 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
6.326 * [backup-simplify]: Simplify (- 0) into 0
6.327 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
6.329 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
6.331 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.332 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
6.332 * [backup-simplify]: Simplify (- 0) into 0
6.332 * [backup-simplify]: Simplify 0 into 0
6.332 * [backup-simplify]: Simplify 0 into 0
6.332 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
6.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.334 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
6.336 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
6.336 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2)))
6.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2)))
6.337 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 re) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))
6.339 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.342 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
6.342 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) in re
6.342 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))) in re
6.342 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
6.342 * [taylor]: Taking taylor expansion of +nan.0 in re
6.342 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.342 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.343 * [taylor]: Taking taylor expansion of 2.0 in re
6.343 * [backup-simplify]: Simplify 2.0 into 2.0
6.344 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.344 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.344 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))) in re
6.345 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))) in re
6.345 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
6.345 * [taylor]: Taking taylor expansion of +nan.0 in re
6.345 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.345 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
6.345 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.345 * [taylor]: Taking taylor expansion of 2.0 in re
6.345 * [backup-simplify]: Simplify 2.0 into 2.0
6.345 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.346 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.346 * [taylor]: Taking taylor expansion of re in re
6.346 * [backup-simplify]: Simplify 0 into 0
6.346 * [backup-simplify]: Simplify 1 into 1
6.347 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
6.347 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))) in re
6.347 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re
6.347 * [taylor]: Taking taylor expansion of +nan.0 in re
6.347 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.347 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re
6.347 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.347 * [taylor]: Taking taylor expansion of 2.0 in re
6.347 * [backup-simplify]: Simplify 2.0 into 2.0
6.347 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.348 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.348 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.348 * [taylor]: Taking taylor expansion of re in re
6.348 * [backup-simplify]: Simplify 0 into 0
6.348 * [backup-simplify]: Simplify 1 into 1
6.349 * [backup-simplify]: Simplify (* 1 1) into 1
6.349 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
6.350 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
6.351 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
6.352 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
6.353 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.355 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
6.357 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.358 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
6.358 * [backup-simplify]: Simplify (- 0) into 0
6.358 * [backup-simplify]: Simplify (+ 0 0) into 0
6.359 * [backup-simplify]: Simplify (- 0) into 0
6.360 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
6.365 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
6.366 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.371 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 (- im))) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 (- im)))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))))))
6.371 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2 2 1)
6.371 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re)
6.371 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0
6.371 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im
6.371 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
6.371 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
6.371 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.371 * [taylor]: Taking taylor expansion of im in im
6.371 * [backup-simplify]: Simplify 0 into 0
6.371 * [backup-simplify]: Simplify 1 into 1
6.372 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.372 * [taylor]: Taking taylor expansion of re in im
6.372 * [backup-simplify]: Simplify re into re
6.372 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.372 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
6.372 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.372 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.372 * [backup-simplify]: Simplify (+ 0 0) into 0
6.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.373 * [taylor]: Taking taylor expansion of re in im
6.373 * [backup-simplify]: Simplify re into re
6.373 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
6.373 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
6.373 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
6.373 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.373 * [taylor]: Taking taylor expansion of im in re
6.373 * [backup-simplify]: Simplify im into im
6.373 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.373 * [taylor]: Taking taylor expansion of re in re
6.373 * [backup-simplify]: Simplify 0 into 0
6.373 * [backup-simplify]: Simplify 1 into 1
6.373 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.373 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
6.373 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.373 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.374 * [backup-simplify]: Simplify (+ 0 0) into 0
6.374 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.374 * [taylor]: Taking taylor expansion of re in re
6.374 * [backup-simplify]: Simplify 0 into 0
6.374 * [backup-simplify]: Simplify 1 into 1
6.374 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
6.374 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
6.374 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
6.374 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.374 * [taylor]: Taking taylor expansion of im in re
6.374 * [backup-simplify]: Simplify im into im
6.374 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.374 * [taylor]: Taking taylor expansion of re in re
6.374 * [backup-simplify]: Simplify 0 into 0
6.374 * [backup-simplify]: Simplify 1 into 1
6.374 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.374 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
6.374 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.375 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.375 * [backup-simplify]: Simplify (+ 0 0) into 0
6.375 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.375 * [taylor]: Taking taylor expansion of re in re
6.375 * [backup-simplify]: Simplify 0 into 0
6.375 * [backup-simplify]: Simplify 1 into 1
6.376 * [backup-simplify]: Simplify (- 0) into 0
6.376 * [backup-simplify]: Simplify (+ im 0) into im
6.376 * [taylor]: Taking taylor expansion of im in im
6.376 * [backup-simplify]: Simplify 0 into 0
6.376 * [backup-simplify]: Simplify 1 into 1
6.376 * [backup-simplify]: Simplify 0 into 0
6.376 * [backup-simplify]: Simplify (- 1) into -1
6.377 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.377 * [taylor]: Taking taylor expansion of -1 in im
6.377 * [backup-simplify]: Simplify -1 into -1
6.377 * [backup-simplify]: Simplify -1 into -1
6.377 * [backup-simplify]: Simplify 1 into 1
6.377 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.377 * [backup-simplify]: Simplify (* 1 1) into 1
6.378 * [backup-simplify]: Simplify (+ 0 1) into 1
6.379 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.379 * [backup-simplify]: Simplify (- 0) into 0
6.379 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
6.379 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
6.379 * [taylor]: Taking taylor expansion of 1/2 in im
6.379 * [backup-simplify]: Simplify 1/2 into 1/2
6.379 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.379 * [taylor]: Taking taylor expansion of im in im
6.379 * [backup-simplify]: Simplify 0 into 0
6.379 * [backup-simplify]: Simplify 1 into 1
6.380 * [backup-simplify]: Simplify (/ 1 1) into 1
6.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.381 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.381 * [backup-simplify]: Simplify 0 into 0
6.381 * [backup-simplify]: Simplify 0 into 0
6.381 * [backup-simplify]: Simplify 0 into 0
6.382 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.383 * [backup-simplify]: Simplify (+ 0 0) into 0
6.383 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.383 * [backup-simplify]: Simplify (- 0) into 0
6.384 * [backup-simplify]: Simplify (+ 0 0) into 0
6.384 * [taylor]: Taking taylor expansion of 0 in im
6.384 * [backup-simplify]: Simplify 0 into 0
6.384 * [backup-simplify]: Simplify 0 into 0
6.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.386 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.386 * [backup-simplify]: Simplify 0 into 0
6.386 * [backup-simplify]: Simplify 0 into 0
6.386 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
6.386 * [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))
6.386 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
6.386 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
6.386 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.386 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.387 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.387 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.387 * [taylor]: Taking taylor expansion of re in im
6.387 * [backup-simplify]: Simplify re into re
6.387 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.387 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.387 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.387 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.387 * [taylor]: Taking taylor expansion of im in im
6.387 * [backup-simplify]: Simplify 0 into 0
6.387 * [backup-simplify]: Simplify 1 into 1
6.387 * [backup-simplify]: Simplify (* 1 1) into 1
6.388 * [backup-simplify]: Simplify (/ 1 1) into 1
6.388 * [backup-simplify]: Simplify (+ 0 1) into 1
6.388 * [backup-simplify]: Simplify (sqrt 1) into 1
6.389 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.390 * [backup-simplify]: Simplify (+ 0 0) into 0
6.391 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.391 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.391 * [taylor]: Taking taylor expansion of re in im
6.391 * [backup-simplify]: Simplify re into re
6.391 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.391 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
6.391 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.391 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.391 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.391 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.391 * [taylor]: Taking taylor expansion of re in re
6.391 * [backup-simplify]: Simplify 0 into 0
6.391 * [backup-simplify]: Simplify 1 into 1
6.392 * [backup-simplify]: Simplify (* 1 1) into 1
6.392 * [backup-simplify]: Simplify (/ 1 1) into 1
6.392 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.392 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.392 * [taylor]: Taking taylor expansion of im in re
6.392 * [backup-simplify]: Simplify im into im
6.392 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.393 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.393 * [backup-simplify]: Simplify (+ 1 0) into 1
6.393 * [backup-simplify]: Simplify (sqrt 1) into 1
6.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.395 * [backup-simplify]: Simplify (+ 0 0) into 0
6.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.396 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.396 * [taylor]: Taking taylor expansion of re in re
6.396 * [backup-simplify]: Simplify 0 into 0
6.396 * [backup-simplify]: Simplify 1 into 1
6.396 * [backup-simplify]: Simplify (/ 1 1) into 1
6.396 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
6.396 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.396 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.396 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.396 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.396 * [taylor]: Taking taylor expansion of re in re
6.396 * [backup-simplify]: Simplify 0 into 0
6.396 * [backup-simplify]: Simplify 1 into 1
6.397 * [backup-simplify]: Simplify (* 1 1) into 1
6.397 * [backup-simplify]: Simplify (/ 1 1) into 1
6.397 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.397 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.397 * [taylor]: Taking taylor expansion of im in re
6.397 * [backup-simplify]: Simplify im into im
6.397 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.397 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.398 * [backup-simplify]: Simplify (+ 1 0) into 1
6.398 * [backup-simplify]: Simplify (sqrt 1) into 1
6.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.400 * [backup-simplify]: Simplify (+ 0 0) into 0
6.401 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.401 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.401 * [taylor]: Taking taylor expansion of re in re
6.401 * [backup-simplify]: Simplify 0 into 0
6.401 * [backup-simplify]: Simplify 1 into 1
6.401 * [backup-simplify]: Simplify (/ 1 1) into 1
6.401 * [backup-simplify]: Simplify (- 1) into -1
6.402 * [backup-simplify]: Simplify (+ 1 -1) into 0
6.402 * [taylor]: Taking taylor expansion of 0 in im
6.402 * [backup-simplify]: Simplify 0 into 0
6.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.403 * [backup-simplify]: Simplify (- 0) into 0
6.403 * [backup-simplify]: Simplify (+ 0 0) into 0
6.403 * [taylor]: Taking taylor expansion of 0 in im
6.403 * [backup-simplify]: Simplify 0 into 0
6.403 * [backup-simplify]: Simplify 0 into 0
6.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.405 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.407 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.408 * [backup-simplify]: Simplify (- 0) into 0
6.408 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
6.408 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
6.408 * [taylor]: Taking taylor expansion of 1/2 in im
6.408 * [backup-simplify]: Simplify 1/2 into 1/2
6.408 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.408 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.408 * [taylor]: Taking taylor expansion of im in im
6.408 * [backup-simplify]: Simplify 0 into 0
6.408 * [backup-simplify]: Simplify 1 into 1
6.409 * [backup-simplify]: Simplify (* 1 1) into 1
6.409 * [backup-simplify]: Simplify (/ 1 1) into 1
6.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.411 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.411 * [backup-simplify]: Simplify 0 into 0
6.411 * [backup-simplify]: Simplify 0 into 0
6.411 * [backup-simplify]: Simplify 0 into 0
6.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.413 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.413 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.414 * [backup-simplify]: Simplify (+ 0 0) into 0
6.414 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.416 * [backup-simplify]: Simplify (- 0) into 0
6.416 * [backup-simplify]: Simplify (+ 0 0) into 0
6.416 * [taylor]: Taking taylor expansion of 0 in im
6.416 * [backup-simplify]: Simplify 0 into 0
6.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.419 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.419 * [backup-simplify]: Simplify 0 into 0
6.419 * [backup-simplify]: Simplify 0 into 0
6.419 * [backup-simplify]: Simplify 0 into 0
6.419 * [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)))))
6.419 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
6.419 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
6.419 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.419 * [taylor]: Taking taylor expansion of re in im
6.419 * [backup-simplify]: Simplify re into re
6.420 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.420 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.420 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.420 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.420 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.420 * [taylor]: Taking taylor expansion of re in im
6.420 * [backup-simplify]: Simplify re into re
6.420 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.420 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.420 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.420 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.420 * [taylor]: Taking taylor expansion of im in im
6.420 * [backup-simplify]: Simplify 0 into 0
6.420 * [backup-simplify]: Simplify 1 into 1
6.420 * [backup-simplify]: Simplify (* 1 1) into 1
6.421 * [backup-simplify]: Simplify (/ 1 1) into 1
6.421 * [backup-simplify]: Simplify (+ 0 1) into 1
6.422 * [backup-simplify]: Simplify (sqrt 1) into 1
6.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.423 * [backup-simplify]: Simplify (+ 0 0) into 0
6.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.424 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
6.424 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.424 * [taylor]: Taking taylor expansion of re in re
6.424 * [backup-simplify]: Simplify 0 into 0
6.424 * [backup-simplify]: Simplify 1 into 1
6.424 * [backup-simplify]: Simplify (/ 1 1) into 1
6.424 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.424 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.424 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.424 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.425 * [taylor]: Taking taylor expansion of re in re
6.425 * [backup-simplify]: Simplify 0 into 0
6.425 * [backup-simplify]: Simplify 1 into 1
6.425 * [backup-simplify]: Simplify (* 1 1) into 1
6.425 * [backup-simplify]: Simplify (/ 1 1) into 1
6.425 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.425 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.425 * [taylor]: Taking taylor expansion of im in re
6.425 * [backup-simplify]: Simplify im into im
6.425 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.426 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.426 * [backup-simplify]: Simplify (+ 1 0) into 1
6.426 * [backup-simplify]: Simplify (sqrt 1) into 1
6.427 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.428 * [backup-simplify]: Simplify (+ 0 0) into 0
6.429 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.429 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
6.429 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.429 * [taylor]: Taking taylor expansion of re in re
6.429 * [backup-simplify]: Simplify 0 into 0
6.429 * [backup-simplify]: Simplify 1 into 1
6.429 * [backup-simplify]: Simplify (/ 1 1) into 1
6.429 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.429 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.429 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.429 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.429 * [taylor]: Taking taylor expansion of re in re
6.429 * [backup-simplify]: Simplify 0 into 0
6.429 * [backup-simplify]: Simplify 1 into 1
6.430 * [backup-simplify]: Simplify (* 1 1) into 1
6.430 * [backup-simplify]: Simplify (/ 1 1) into 1
6.430 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.430 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.430 * [taylor]: Taking taylor expansion of im in re
6.430 * [backup-simplify]: Simplify im into im
6.430 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.431 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.431 * [backup-simplify]: Simplify (+ 1 0) into 1
6.431 * [backup-simplify]: Simplify (sqrt 1) into 1
6.432 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.433 * [backup-simplify]: Simplify (+ 0 0) into 0
6.434 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.434 * [backup-simplify]: Simplify (+ 1 1) into 2
6.434 * [taylor]: Taking taylor expansion of 2 in im
6.434 * [backup-simplify]: Simplify 2 into 2
6.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.435 * [backup-simplify]: Simplify (+ 0 0) into 0
6.435 * [taylor]: Taking taylor expansion of 0 in im
6.435 * [backup-simplify]: Simplify 0 into 0
6.435 * [backup-simplify]: Simplify 2 into 2
6.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.439 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.440 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.440 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
6.440 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
6.440 * [taylor]: Taking taylor expansion of 1/2 in im
6.440 * [backup-simplify]: Simplify 1/2 into 1/2
6.440 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.440 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.440 * [taylor]: Taking taylor expansion of im in im
6.440 * [backup-simplify]: Simplify 0 into 0
6.440 * [backup-simplify]: Simplify 1 into 1
6.441 * [backup-simplify]: Simplify (* 1 1) into 1
6.441 * [backup-simplify]: Simplify (/ 1 1) into 1
6.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.443 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.443 * [backup-simplify]: Simplify 0 into 0
6.443 * [backup-simplify]: Simplify 0 into 0
6.443 * [backup-simplify]: Simplify 0 into 0
6.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.445 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.445 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.446 * [backup-simplify]: Simplify (+ 0 0) into 0
6.446 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.446 * [backup-simplify]: Simplify (+ 0 0) into 0
6.446 * [taylor]: Taking taylor expansion of 0 in im
6.446 * [backup-simplify]: Simplify 0 into 0
6.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.448 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.448 * [backup-simplify]: Simplify 0 into 0
6.448 * [backup-simplify]: Simplify 0 into 0
6.448 * [backup-simplify]: Simplify 0 into 0
6.448 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
6.448 * * * [progress]: simplifying candidates
6.449 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (* 2.0 (* (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))
  (exp (sqrt (* 2.0 (* (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))
  (* (cbrt (sqrt (* 2.0 (* (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) (cbrt (sqrt (* 2.0 (* (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))))
  (cbrt (sqrt (* 2.0 (* (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))
  (* (* (sqrt (* 2.0 (* (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) (sqrt (* 2.0 (* (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) (sqrt (* 2.0 (* (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))
  (sqrt 2.0)
  (sqrt (* (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (sqrt (* 2.0 (* im im)))
  (sqrt (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (* 2.0 (* (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))) im)))
  (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (sqrt (* 2.0 (* im (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))
  (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 2)
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* 2.0 (* (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))
  (sqrt (sqrt (* 2.0 (* (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))
  (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re))
  (log (- (sqrt (+ (* re re) (* im im))) re))
  (exp (- (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (- (sqrt (+ (* re re) (* im im))) re))
  (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))
  (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))
  (- re)
  (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))
  (+ (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (- re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) re))) (- (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) (pow re 2)))))))))
  (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2))) (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (* (sqrt 2.0) re) im)))))))
  (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))))))
  (- im re)
  0
  (* -2 re)
6.451 * * [simplify]: iteration 0: 127 enodes
6.476 * * [simplify]: iteration 1: 294 enodes
6.561 * * [simplify]: iteration 2: 804 enodes
7.252 * * [simplify]: iteration 3: 2707 enodes
8.308 * * [simplify]: iteration complete: 5000 enodes
8.308 * * [simplify]: Extracting #0: cost 48 inf + 0
8.309 * * [simplify]: Extracting #1: cost 177 inf + 46
8.313 * * [simplify]: Extracting #2: cost 704 inf + 1323
8.328 * * [simplify]: Extracting #3: cost 1066 inf + 21956
8.366 * * [simplify]: Extracting #4: cost 582 inf + 109114
8.449 * * [simplify]: Extracting #5: cost 159 inf + 198687
8.520 * * [simplify]: Extracting #6: cost 66 inf + 230338
8.620 * * [simplify]: Extracting #7: cost 31 inf + 242627
8.726 * * [simplify]: Extracting #8: cost 6 inf + 247782
8.814 * * [simplify]: Extracting #9: cost 0 inf + 249540
8.879 * [simplify]: Simplified to:
  (log (sqrt (+ (* im im) (* re re))))
  (exp (sqrt (+ (* im im) (* re re))))
  (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re)))))
  (cbrt (sqrt (+ (* im im) (* re re))))
  (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re)))
  (fabs (cbrt (+ (* im im) (* re re))))
  (sqrt (cbrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  1
  (sqrt (+ (* im im) (* re re)))
  (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im)))))
  (sqrt (+ (* (- (* im im) (* re re)) (* im im)) (* (* re re) (* re re))))
  (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im))))
  (sqrt (* (+ re im) (- re im)))
  1/2
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (log (sqrt (+ (* im im) (* re re))))
  (exp (sqrt (+ (* im im) (* re re))))
  (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re)))))
  (cbrt (sqrt (+ (* im im) (* re re))))
  (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re)))
  (fabs (cbrt (+ (* im im) (* re re))))
  (sqrt (cbrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  1
  (sqrt (+ (* im im) (* re re)))
  (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im)))))
  (sqrt (+ (* (- (* im im) (* re re)) (* im im)) (* (* re re) (* re re))))
  (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im))))
  (sqrt (* (+ re im) (- re im)))
  1/2
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (log (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re)))))
  (exp (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re)))))
  (* (cbrt (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re))))) (cbrt (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re))))))
  (cbrt (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re)))))
  (* (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re)))) (* 2.0 (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re))))
  (sqrt 2.0)
  (sqrt (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re)))
  (sqrt (* 2.0 (* im im)))
  (sqrt (- (sqrt (+ (* im im) (* re re))) re))
  (sqrt (/ (* im im) (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) 2.0)))
  (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (sqrt (/ (* im im) (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) 2.0)))
  (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  1/2
  1/2
  1/2
  (sqrt (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re)))))
  (sqrt (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re)))))
  (exp (- (sqrt (+ (* im im) (* re re))) re))
  (log (- (sqrt (+ (* im im) (* re re))) re))
  (exp (- (sqrt (+ (* im im) (* re re))) re))
  (* (cbrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (- (sqrt (+ (* im im) (* re re))) re)))
  (cbrt (- (sqrt (+ (* im im) (* re re))) re))
  (* (* (- (sqrt (+ (* im im) (* re re))) re) (- (sqrt (+ (* im im) (* re re))) re)) (- (sqrt (+ (* im im) (* re re))) re))
  (sqrt (- (sqrt (+ (* im im) (* re re))) re))
  (sqrt (- (sqrt (+ (* im im) (* re re))) re))
  (- (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* re (* re re)))
  (+ (+ (+ (* im im) (* re re)) (* re re)) (* (sqrt (+ (* im im) (* re re))) re))
  (- re)
  (+ 0 (* im im))
  (+ (sqrt (+ (* im im) (* re re))) re)
  (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re)))))
  (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))
  (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re)))))
  (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))
  (- (sqrt (+ (* im im) (* re re))) re)
  (- re)
  im
  re
  (- re)
  im
  re
  (- re)
  (+ (* (* (- +nan.0) (/ (sqrt 2.0) (sqrt 2))) (* im im)) (* (* (sqrt 2) (* (sqrt 2.0) +nan.0)) (- re (* re re))))
  (- (- (* (/ (* (sqrt 2.0) re) im) (/ +nan.0 im)) (* +nan.0 (- (sqrt 2.0) (/ (* (sqrt 2.0) re) im)))))
  (+ (* +nan.0 (- (sqrt 2.0))) (* +nan.0 (- (/ (sqrt 2.0) im) (/ (/ (sqrt 2.0) im) im))))
  (- im re)
  0
  (* re -2)
8.897 * * * [progress]: adding candidates to table
9.375 * * [progress]: iteration 4 / 4
9.376 * * * [progress]: picking best candidate
9.409 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))))))))>
9.409 * * * [progress]: localizing error
9.492 * * * [progress]: generating rewritten candidates
9.492 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 2 1 1 2 1)
9.499 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2 2 1 1 1 2 1)
9.505 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 2 2 1 1 1 1 1)
9.517 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 2 1 1)
9.532 * * * [progress]: generating series expansions
9.532 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 2 1 1 2 1)
9.532 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
9.532 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
9.533 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
9.533 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
9.533 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.533 * [taylor]: Taking taylor expansion of im in im
9.533 * [backup-simplify]: Simplify 0 into 0
9.533 * [backup-simplify]: Simplify 1 into 1
9.533 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.533 * [taylor]: Taking taylor expansion of re in im
9.533 * [backup-simplify]: Simplify re into re
9.533 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.533 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
9.533 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
9.533 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
9.534 * [backup-simplify]: Simplify (+ 0 0) into 0
9.534 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
9.534 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
9.534 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
9.534 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.534 * [taylor]: Taking taylor expansion of im in re
9.534 * [backup-simplify]: Simplify im into im
9.534 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.534 * [taylor]: Taking taylor expansion of re in re
9.534 * [backup-simplify]: Simplify 0 into 0
9.534 * [backup-simplify]: Simplify 1 into 1
9.535 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.535 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
9.535 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
9.535 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.535 * [backup-simplify]: Simplify (+ 0 0) into 0
9.536 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
9.536 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
9.536 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
9.536 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.536 * [taylor]: Taking taylor expansion of im in re
9.536 * [backup-simplify]: Simplify im into im
9.536 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.536 * [taylor]: Taking taylor expansion of re in re
9.536 * [backup-simplify]: Simplify 0 into 0
9.536 * [backup-simplify]: Simplify 1 into 1
9.536 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.536 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
9.536 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
9.536 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.537 * [backup-simplify]: Simplify (+ 0 0) into 0
9.537 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
9.538 * [taylor]: Taking taylor expansion of im in im
9.538 * [backup-simplify]: Simplify 0 into 0
9.538 * [backup-simplify]: Simplify 1 into 1
9.538 * [backup-simplify]: Simplify 0 into 0
9.538 * [taylor]: Taking taylor expansion of 0 in im
9.538 * [backup-simplify]: Simplify 0 into 0
9.538 * [backup-simplify]: Simplify 0 into 0
9.538 * [backup-simplify]: Simplify 1 into 1
9.538 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
9.539 * [backup-simplify]: Simplify (* 1 1) into 1
9.539 * [backup-simplify]: Simplify (+ 0 1) into 1
9.540 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
9.540 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
9.540 * [taylor]: Taking taylor expansion of 1/2 in im
9.540 * [backup-simplify]: Simplify 1/2 into 1/2
9.540 * [taylor]: Taking taylor expansion of im in im
9.540 * [backup-simplify]: Simplify 0 into 0
9.540 * [backup-simplify]: Simplify 1 into 1
9.541 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.542 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.542 * [backup-simplify]: Simplify 0 into 0
9.542 * [backup-simplify]: Simplify 0 into 0
9.542 * [backup-simplify]: Simplify 0 into 0
9.543 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
9.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.544 * [backup-simplify]: Simplify (+ 0 0) into 0
9.544 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
9.544 * [taylor]: Taking taylor expansion of 0 in im
9.544 * [backup-simplify]: Simplify 0 into 0
9.544 * [backup-simplify]: Simplify 0 into 0
9.545 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.545 * [backup-simplify]: Simplify 0 into 0
9.545 * [backup-simplify]: Simplify 0 into 0
9.545 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
9.546 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
9.546 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
9.546 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
9.546 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
9.546 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
9.546 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.546 * [taylor]: Taking taylor expansion of re in im
9.546 * [backup-simplify]: Simplify re into re
9.546 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.546 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
9.546 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.546 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.546 * [taylor]: Taking taylor expansion of im in im
9.546 * [backup-simplify]: Simplify 0 into 0
9.546 * [backup-simplify]: Simplify 1 into 1
9.547 * [backup-simplify]: Simplify (* 1 1) into 1
9.547 * [backup-simplify]: Simplify (/ 1 1) into 1
9.548 * [backup-simplify]: Simplify (+ 0 1) into 1
9.548 * [backup-simplify]: Simplify (sqrt 1) into 1
9.549 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.550 * [backup-simplify]: Simplify (+ 0 0) into 0
9.551 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.551 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
9.551 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
9.551 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.551 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.551 * [taylor]: Taking taylor expansion of re in re
9.551 * [backup-simplify]: Simplify 0 into 0
9.551 * [backup-simplify]: Simplify 1 into 1
9.551 * [backup-simplify]: Simplify (* 1 1) into 1
9.552 * [backup-simplify]: Simplify (/ 1 1) into 1
9.552 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.552 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.552 * [taylor]: Taking taylor expansion of im in re
9.552 * [backup-simplify]: Simplify im into im
9.552 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.552 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.553 * [backup-simplify]: Simplify (+ 1 0) into 1
9.553 * [backup-simplify]: Simplify (sqrt 1) into 1
9.554 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.555 * [backup-simplify]: Simplify (+ 0 0) into 0
9.556 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.556 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
9.556 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
9.556 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.556 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.556 * [taylor]: Taking taylor expansion of re in re
9.556 * [backup-simplify]: Simplify 0 into 0
9.556 * [backup-simplify]: Simplify 1 into 1
9.557 * [backup-simplify]: Simplify (* 1 1) into 1
9.557 * [backup-simplify]: Simplify (/ 1 1) into 1
9.557 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.557 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.557 * [taylor]: Taking taylor expansion of im in re
9.557 * [backup-simplify]: Simplify im into im
9.557 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.557 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.558 * [backup-simplify]: Simplify (+ 1 0) into 1
9.558 * [backup-simplify]: Simplify (sqrt 1) into 1
9.559 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.560 * [backup-simplify]: Simplify (+ 0 0) into 0
9.561 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.561 * [taylor]: Taking taylor expansion of 1 in im
9.561 * [backup-simplify]: Simplify 1 into 1
9.561 * [taylor]: Taking taylor expansion of 0 in im
9.561 * [backup-simplify]: Simplify 0 into 0
9.561 * [backup-simplify]: Simplify 1 into 1
9.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.563 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
9.565 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.565 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
9.565 * [taylor]: Taking taylor expansion of 1/2 in im
9.565 * [backup-simplify]: Simplify 1/2 into 1/2
9.565 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.565 * [taylor]: Taking taylor expansion of im in im
9.565 * [backup-simplify]: Simplify 0 into 0
9.565 * [backup-simplify]: Simplify 1 into 1
9.565 * [backup-simplify]: Simplify (* 1 1) into 1
9.566 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.567 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.567 * [backup-simplify]: Simplify 0 into 0
9.568 * [backup-simplify]: Simplify 0 into 0
9.568 * [backup-simplify]: Simplify 0 into 0
9.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.570 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.570 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
9.571 * [backup-simplify]: Simplify (+ 0 0) into 0
9.571 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
9.571 * [taylor]: Taking taylor expansion of 0 in im
9.571 * [backup-simplify]: Simplify 0 into 0
9.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.573 * [backup-simplify]: Simplify 0 into 0
9.574 * [backup-simplify]: Simplify 0 into 0
9.574 * [backup-simplify]: Simplify 0 into 0
9.574 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
9.574 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
9.574 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
9.574 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
9.574 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
9.574 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
9.574 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.574 * [taylor]: Taking taylor expansion of re in im
9.574 * [backup-simplify]: Simplify re into re
9.574 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.574 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
9.575 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.575 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.575 * [taylor]: Taking taylor expansion of im in im
9.575 * [backup-simplify]: Simplify 0 into 0
9.575 * [backup-simplify]: Simplify 1 into 1
9.575 * [backup-simplify]: Simplify (* 1 1) into 1
9.575 * [backup-simplify]: Simplify (/ 1 1) into 1
9.575 * [backup-simplify]: Simplify (+ 0 1) into 1
9.576 * [backup-simplify]: Simplify (sqrt 1) into 1
9.576 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.577 * [backup-simplify]: Simplify (+ 0 0) into 0
9.577 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.577 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
9.577 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
9.577 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.577 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.577 * [taylor]: Taking taylor expansion of re in re
9.577 * [backup-simplify]: Simplify 0 into 0
9.577 * [backup-simplify]: Simplify 1 into 1
9.577 * [backup-simplify]: Simplify (* 1 1) into 1
9.578 * [backup-simplify]: Simplify (/ 1 1) into 1
9.578 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.578 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.578 * [taylor]: Taking taylor expansion of im in re
9.578 * [backup-simplify]: Simplify im into im
9.578 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.578 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.578 * [backup-simplify]: Simplify (+ 1 0) into 1
9.578 * [backup-simplify]: Simplify (sqrt 1) into 1
9.579 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.580 * [backup-simplify]: Simplify (+ 0 0) into 0
9.580 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.580 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
9.580 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
9.580 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.580 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.580 * [taylor]: Taking taylor expansion of re in re
9.580 * [backup-simplify]: Simplify 0 into 0
9.580 * [backup-simplify]: Simplify 1 into 1
9.580 * [backup-simplify]: Simplify (* 1 1) into 1
9.581 * [backup-simplify]: Simplify (/ 1 1) into 1
9.581 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.581 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.581 * [taylor]: Taking taylor expansion of im in re
9.581 * [backup-simplify]: Simplify im into im
9.581 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.581 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.581 * [backup-simplify]: Simplify (+ 1 0) into 1
9.581 * [backup-simplify]: Simplify (sqrt 1) into 1
9.582 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.582 * [backup-simplify]: Simplify (+ 0 0) into 0
9.583 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.583 * [taylor]: Taking taylor expansion of 1 in im
9.583 * [backup-simplify]: Simplify 1 into 1
9.583 * [taylor]: Taking taylor expansion of 0 in im
9.583 * [backup-simplify]: Simplify 0 into 0
9.583 * [backup-simplify]: Simplify 1 into 1
9.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.584 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
9.585 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.585 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
9.585 * [taylor]: Taking taylor expansion of 1/2 in im
9.585 * [backup-simplify]: Simplify 1/2 into 1/2
9.585 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.585 * [taylor]: Taking taylor expansion of im in im
9.585 * [backup-simplify]: Simplify 0 into 0
9.585 * [backup-simplify]: Simplify 1 into 1
9.586 * [backup-simplify]: Simplify (* 1 1) into 1
9.586 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.586 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.587 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.587 * [backup-simplify]: Simplify 0 into 0
9.587 * [backup-simplify]: Simplify 0 into 0
9.587 * [backup-simplify]: Simplify 0 into 0
9.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.588 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.588 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
9.588 * [backup-simplify]: Simplify (+ 0 0) into 0
9.589 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
9.589 * [taylor]: Taking taylor expansion of 0 in im
9.589 * [backup-simplify]: Simplify 0 into 0
9.589 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.590 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.590 * [backup-simplify]: Simplify 0 into 0
9.590 * [backup-simplify]: Simplify 0 into 0
9.590 * [backup-simplify]: Simplify 0 into 0
9.590 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
9.590 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2 2 1 1 1 2 1)
9.590 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
9.591 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
9.591 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
9.591 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
9.591 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.591 * [taylor]: Taking taylor expansion of im in im
9.591 * [backup-simplify]: Simplify 0 into 0
9.591 * [backup-simplify]: Simplify 1 into 1
9.591 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.591 * [taylor]: Taking taylor expansion of re in im
9.591 * [backup-simplify]: Simplify re into re
9.591 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.591 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
9.591 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
9.591 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
9.591 * [backup-simplify]: Simplify (+ 0 0) into 0
9.591 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
9.591 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
9.591 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
9.591 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.591 * [taylor]: Taking taylor expansion of im in re
9.591 * [backup-simplify]: Simplify im into im
9.591 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.591 * [taylor]: Taking taylor expansion of re in re
9.591 * [backup-simplify]: Simplify 0 into 0
9.591 * [backup-simplify]: Simplify 1 into 1
9.592 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.592 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
9.592 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
9.592 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.592 * [backup-simplify]: Simplify (+ 0 0) into 0
9.592 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
9.592 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
9.592 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
9.592 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.592 * [taylor]: Taking taylor expansion of im in re
9.592 * [backup-simplify]: Simplify im into im
9.592 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.592 * [taylor]: Taking taylor expansion of re in re
9.592 * [backup-simplify]: Simplify 0 into 0
9.592 * [backup-simplify]: Simplify 1 into 1
9.592 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.592 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
9.592 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
9.593 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.593 * [backup-simplify]: Simplify (+ 0 0) into 0
9.593 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
9.593 * [taylor]: Taking taylor expansion of im in im
9.593 * [backup-simplify]: Simplify 0 into 0
9.593 * [backup-simplify]: Simplify 1 into 1
9.593 * [backup-simplify]: Simplify 0 into 0
9.593 * [taylor]: Taking taylor expansion of 0 in im
9.593 * [backup-simplify]: Simplify 0 into 0
9.593 * [backup-simplify]: Simplify 0 into 0
9.593 * [backup-simplify]: Simplify 1 into 1
9.593 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
9.594 * [backup-simplify]: Simplify (* 1 1) into 1
9.594 * [backup-simplify]: Simplify (+ 0 1) into 1
9.594 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
9.594 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
9.594 * [taylor]: Taking taylor expansion of 1/2 in im
9.594 * [backup-simplify]: Simplify 1/2 into 1/2
9.595 * [taylor]: Taking taylor expansion of im in im
9.595 * [backup-simplify]: Simplify 0 into 0
9.595 * [backup-simplify]: Simplify 1 into 1
9.595 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.595 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.595 * [backup-simplify]: Simplify 0 into 0
9.595 * [backup-simplify]: Simplify 0 into 0
9.595 * [backup-simplify]: Simplify 0 into 0
9.596 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
9.596 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.597 * [backup-simplify]: Simplify (+ 0 0) into 0
9.597 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
9.597 * [taylor]: Taking taylor expansion of 0 in im
9.597 * [backup-simplify]: Simplify 0 into 0
9.597 * [backup-simplify]: Simplify 0 into 0
9.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.597 * [backup-simplify]: Simplify 0 into 0
9.597 * [backup-simplify]: Simplify 0 into 0
9.597 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
9.598 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
9.598 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
9.598 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
9.598 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
9.598 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
9.598 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.598 * [taylor]: Taking taylor expansion of re in im
9.598 * [backup-simplify]: Simplify re into re
9.598 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.598 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
9.598 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.598 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.598 * [taylor]: Taking taylor expansion of im in im
9.598 * [backup-simplify]: Simplify 0 into 0
9.598 * [backup-simplify]: Simplify 1 into 1
9.598 * [backup-simplify]: Simplify (* 1 1) into 1
9.599 * [backup-simplify]: Simplify (/ 1 1) into 1
9.599 * [backup-simplify]: Simplify (+ 0 1) into 1
9.599 * [backup-simplify]: Simplify (sqrt 1) into 1
9.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.600 * [backup-simplify]: Simplify (+ 0 0) into 0
9.601 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.601 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
9.601 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
9.601 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.601 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.601 * [taylor]: Taking taylor expansion of re in re
9.601 * [backup-simplify]: Simplify 0 into 0
9.601 * [backup-simplify]: Simplify 1 into 1
9.601 * [backup-simplify]: Simplify (* 1 1) into 1
9.601 * [backup-simplify]: Simplify (/ 1 1) into 1
9.601 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.601 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.601 * [taylor]: Taking taylor expansion of im in re
9.601 * [backup-simplify]: Simplify im into im
9.601 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.601 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.602 * [backup-simplify]: Simplify (+ 1 0) into 1
9.602 * [backup-simplify]: Simplify (sqrt 1) into 1
9.604 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.605 * [backup-simplify]: Simplify (+ 0 0) into 0
9.606 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.606 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
9.606 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
9.606 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.606 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.606 * [taylor]: Taking taylor expansion of re in re
9.606 * [backup-simplify]: Simplify 0 into 0
9.606 * [backup-simplify]: Simplify 1 into 1
9.606 * [backup-simplify]: Simplify (* 1 1) into 1
9.607 * [backup-simplify]: Simplify (/ 1 1) into 1
9.607 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.607 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.607 * [taylor]: Taking taylor expansion of im in re
9.607 * [backup-simplify]: Simplify im into im
9.607 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.607 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.608 * [backup-simplify]: Simplify (+ 1 0) into 1
9.608 * [backup-simplify]: Simplify (sqrt 1) into 1
9.609 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.610 * [backup-simplify]: Simplify (+ 0 0) into 0
9.611 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.611 * [taylor]: Taking taylor expansion of 1 in im
9.611 * [backup-simplify]: Simplify 1 into 1
9.611 * [taylor]: Taking taylor expansion of 0 in im
9.611 * [backup-simplify]: Simplify 0 into 0
9.611 * [backup-simplify]: Simplify 1 into 1
9.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.613 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
9.614 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.614 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
9.615 * [taylor]: Taking taylor expansion of 1/2 in im
9.615 * [backup-simplify]: Simplify 1/2 into 1/2
9.615 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.615 * [taylor]: Taking taylor expansion of im in im
9.615 * [backup-simplify]: Simplify 0 into 0
9.615 * [backup-simplify]: Simplify 1 into 1
9.615 * [backup-simplify]: Simplify (* 1 1) into 1
9.616 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.616 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.617 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.617 * [backup-simplify]: Simplify 0 into 0
9.617 * [backup-simplify]: Simplify 0 into 0
9.618 * [backup-simplify]: Simplify 0 into 0
9.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.620 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.620 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
9.621 * [backup-simplify]: Simplify (+ 0 0) into 0
9.621 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
9.621 * [taylor]: Taking taylor expansion of 0 in im
9.621 * [backup-simplify]: Simplify 0 into 0
9.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.623 * [backup-simplify]: Simplify 0 into 0
9.623 * [backup-simplify]: Simplify 0 into 0
9.624 * [backup-simplify]: Simplify 0 into 0
9.624 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
9.624 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
9.624 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
9.624 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
9.624 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
9.624 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
9.624 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.624 * [taylor]: Taking taylor expansion of re in im
9.624 * [backup-simplify]: Simplify re into re
9.624 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.625 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
9.625 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.625 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.625 * [taylor]: Taking taylor expansion of im in im
9.625 * [backup-simplify]: Simplify 0 into 0
9.625 * [backup-simplify]: Simplify 1 into 1
9.625 * [backup-simplify]: Simplify (* 1 1) into 1
9.625 * [backup-simplify]: Simplify (/ 1 1) into 1
9.626 * [backup-simplify]: Simplify (+ 0 1) into 1
9.626 * [backup-simplify]: Simplify (sqrt 1) into 1
9.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.628 * [backup-simplify]: Simplify (+ 0 0) into 0
9.629 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.629 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
9.629 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
9.629 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.629 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.629 * [taylor]: Taking taylor expansion of re in re
9.629 * [backup-simplify]: Simplify 0 into 0
9.629 * [backup-simplify]: Simplify 1 into 1
9.630 * [backup-simplify]: Simplify (* 1 1) into 1
9.630 * [backup-simplify]: Simplify (/ 1 1) into 1
9.630 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.630 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.630 * [taylor]: Taking taylor expansion of im in re
9.630 * [backup-simplify]: Simplify im into im
9.630 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.630 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.631 * [backup-simplify]: Simplify (+ 1 0) into 1
9.631 * [backup-simplify]: Simplify (sqrt 1) into 1
9.632 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.633 * [backup-simplify]: Simplify (+ 0 0) into 0
9.634 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.634 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
9.634 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
9.634 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.634 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.634 * [taylor]: Taking taylor expansion of re in re
9.634 * [backup-simplify]: Simplify 0 into 0
9.634 * [backup-simplify]: Simplify 1 into 1
9.634 * [backup-simplify]: Simplify (* 1 1) into 1
9.635 * [backup-simplify]: Simplify (/ 1 1) into 1
9.635 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.635 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.635 * [taylor]: Taking taylor expansion of im in re
9.635 * [backup-simplify]: Simplify im into im
9.635 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.635 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.635 * [backup-simplify]: Simplify (+ 1 0) into 1
9.635 * [backup-simplify]: Simplify (sqrt 1) into 1
9.636 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.636 * [backup-simplify]: Simplify (+ 0 0) into 0
9.637 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.637 * [taylor]: Taking taylor expansion of 1 in im
9.637 * [backup-simplify]: Simplify 1 into 1
9.637 * [taylor]: Taking taylor expansion of 0 in im
9.637 * [backup-simplify]: Simplify 0 into 0
9.637 * [backup-simplify]: Simplify 1 into 1
9.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.638 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
9.639 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.639 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
9.639 * [taylor]: Taking taylor expansion of 1/2 in im
9.639 * [backup-simplify]: Simplify 1/2 into 1/2
9.639 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.639 * [taylor]: Taking taylor expansion of im in im
9.639 * [backup-simplify]: Simplify 0 into 0
9.639 * [backup-simplify]: Simplify 1 into 1
9.639 * [backup-simplify]: Simplify (* 1 1) into 1
9.640 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.640 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.641 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.641 * [backup-simplify]: Simplify 0 into 0
9.641 * [backup-simplify]: Simplify 0 into 0
9.641 * [backup-simplify]: Simplify 0 into 0
9.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.642 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.642 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
9.642 * [backup-simplify]: Simplify (+ 0 0) into 0
9.643 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
9.643 * [taylor]: Taking taylor expansion of 0 in im
9.643 * [backup-simplify]: Simplify 0 into 0
9.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.644 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.644 * [backup-simplify]: Simplify 0 into 0
9.644 * [backup-simplify]: Simplify 0 into 0
9.644 * [backup-simplify]: Simplify 0 into 0
9.644 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
9.644 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 2 2 1 1 1 1 1)
9.644 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
9.644 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
9.644 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
9.644 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
9.644 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.644 * [taylor]: Taking taylor expansion of im in im
9.645 * [backup-simplify]: Simplify 0 into 0
9.645 * [backup-simplify]: Simplify 1 into 1
9.645 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.645 * [taylor]: Taking taylor expansion of re in im
9.645 * [backup-simplify]: Simplify re into re
9.645 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.645 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
9.645 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
9.645 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
9.645 * [backup-simplify]: Simplify (+ 0 0) into 0
9.645 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
9.645 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
9.645 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
9.645 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.645 * [taylor]: Taking taylor expansion of im in re
9.645 * [backup-simplify]: Simplify im into im
9.645 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.645 * [taylor]: Taking taylor expansion of re in re
9.645 * [backup-simplify]: Simplify 0 into 0
9.645 * [backup-simplify]: Simplify 1 into 1
9.645 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.646 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
9.646 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
9.646 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.646 * [backup-simplify]: Simplify (+ 0 0) into 0
9.646 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
9.646 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
9.646 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
9.646 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.646 * [taylor]: Taking taylor expansion of im in re
9.646 * [backup-simplify]: Simplify im into im
9.646 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.646 * [taylor]: Taking taylor expansion of re in re
9.646 * [backup-simplify]: Simplify 0 into 0
9.646 * [backup-simplify]: Simplify 1 into 1
9.646 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.646 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
9.646 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
9.646 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.647 * [backup-simplify]: Simplify (+ 0 0) into 0
9.647 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
9.647 * [taylor]: Taking taylor expansion of im in im
9.647 * [backup-simplify]: Simplify 0 into 0
9.647 * [backup-simplify]: Simplify 1 into 1
9.647 * [backup-simplify]: Simplify 0 into 0
9.647 * [taylor]: Taking taylor expansion of 0 in im
9.647 * [backup-simplify]: Simplify 0 into 0
9.647 * [backup-simplify]: Simplify 0 into 0
9.647 * [backup-simplify]: Simplify 1 into 1
9.647 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
9.648 * [backup-simplify]: Simplify (* 1 1) into 1
9.648 * [backup-simplify]: Simplify (+ 0 1) into 1
9.648 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
9.648 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
9.648 * [taylor]: Taking taylor expansion of 1/2 in im
9.648 * [backup-simplify]: Simplify 1/2 into 1/2
9.648 * [taylor]: Taking taylor expansion of im in im
9.648 * [backup-simplify]: Simplify 0 into 0
9.648 * [backup-simplify]: Simplify 1 into 1
9.649 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.649 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.649 * [backup-simplify]: Simplify 0 into 0
9.649 * [backup-simplify]: Simplify 0 into 0
9.649 * [backup-simplify]: Simplify 0 into 0
9.650 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
9.650 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.651 * [backup-simplify]: Simplify (+ 0 0) into 0
9.651 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
9.651 * [taylor]: Taking taylor expansion of 0 in im
9.651 * [backup-simplify]: Simplify 0 into 0
9.651 * [backup-simplify]: Simplify 0 into 0
9.651 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.651 * [backup-simplify]: Simplify 0 into 0
9.651 * [backup-simplify]: Simplify 0 into 0
9.652 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
9.652 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
9.652 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
9.652 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
9.652 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
9.652 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
9.652 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.652 * [taylor]: Taking taylor expansion of re in im
9.652 * [backup-simplify]: Simplify re into re
9.652 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.652 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
9.652 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.652 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.652 * [taylor]: Taking taylor expansion of im in im
9.652 * [backup-simplify]: Simplify 0 into 0
9.652 * [backup-simplify]: Simplify 1 into 1
9.652 * [backup-simplify]: Simplify (* 1 1) into 1
9.653 * [backup-simplify]: Simplify (/ 1 1) into 1
9.653 * [backup-simplify]: Simplify (+ 0 1) into 1
9.653 * [backup-simplify]: Simplify (sqrt 1) into 1
9.653 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.654 * [backup-simplify]: Simplify (+ 0 0) into 0
9.655 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.655 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
9.655 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
9.655 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.655 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.655 * [taylor]: Taking taylor expansion of re in re
9.655 * [backup-simplify]: Simplify 0 into 0
9.655 * [backup-simplify]: Simplify 1 into 1
9.655 * [backup-simplify]: Simplify (* 1 1) into 1
9.655 * [backup-simplify]: Simplify (/ 1 1) into 1
9.655 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.655 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.655 * [taylor]: Taking taylor expansion of im in re
9.655 * [backup-simplify]: Simplify im into im
9.655 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.655 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.656 * [backup-simplify]: Simplify (+ 1 0) into 1
9.656 * [backup-simplify]: Simplify (sqrt 1) into 1
9.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.657 * [backup-simplify]: Simplify (+ 0 0) into 0
9.658 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.658 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
9.658 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
9.658 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.658 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.658 * [taylor]: Taking taylor expansion of re in re
9.658 * [backup-simplify]: Simplify 0 into 0
9.658 * [backup-simplify]: Simplify 1 into 1
9.658 * [backup-simplify]: Simplify (* 1 1) into 1
9.658 * [backup-simplify]: Simplify (/ 1 1) into 1
9.658 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.658 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.658 * [taylor]: Taking taylor expansion of im in re
9.658 * [backup-simplify]: Simplify im into im
9.658 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.659 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.659 * [backup-simplify]: Simplify (+ 1 0) into 1
9.659 * [backup-simplify]: Simplify (sqrt 1) into 1
9.659 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.660 * [backup-simplify]: Simplify (+ 0 0) into 0
9.661 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.661 * [taylor]: Taking taylor expansion of 1 in im
9.661 * [backup-simplify]: Simplify 1 into 1
9.661 * [taylor]: Taking taylor expansion of 0 in im
9.661 * [backup-simplify]: Simplify 0 into 0
9.661 * [backup-simplify]: Simplify 1 into 1
9.661 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.662 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
9.663 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.663 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
9.663 * [taylor]: Taking taylor expansion of 1/2 in im
9.663 * [backup-simplify]: Simplify 1/2 into 1/2
9.663 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.663 * [taylor]: Taking taylor expansion of im in im
9.663 * [backup-simplify]: Simplify 0 into 0
9.663 * [backup-simplify]: Simplify 1 into 1
9.663 * [backup-simplify]: Simplify (* 1 1) into 1
9.663 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.664 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.664 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.664 * [backup-simplify]: Simplify 0 into 0
9.664 * [backup-simplify]: Simplify 0 into 0
9.664 * [backup-simplify]: Simplify 0 into 0
9.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.666 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.666 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
9.666 * [backup-simplify]: Simplify (+ 0 0) into 0
9.666 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
9.666 * [taylor]: Taking taylor expansion of 0 in im
9.667 * [backup-simplify]: Simplify 0 into 0
9.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.668 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.668 * [backup-simplify]: Simplify 0 into 0
9.668 * [backup-simplify]: Simplify 0 into 0
9.668 * [backup-simplify]: Simplify 0 into 0
9.668 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
9.668 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
9.668 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
9.668 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
9.668 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
9.668 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
9.668 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.668 * [taylor]: Taking taylor expansion of re in im
9.668 * [backup-simplify]: Simplify re into re
9.668 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.668 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
9.668 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.668 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.668 * [taylor]: Taking taylor expansion of im in im
9.668 * [backup-simplify]: Simplify 0 into 0
9.668 * [backup-simplify]: Simplify 1 into 1
9.669 * [backup-simplify]: Simplify (* 1 1) into 1
9.669 * [backup-simplify]: Simplify (/ 1 1) into 1
9.669 * [backup-simplify]: Simplify (+ 0 1) into 1
9.669 * [backup-simplify]: Simplify (sqrt 1) into 1
9.670 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.671 * [backup-simplify]: Simplify (+ 0 0) into 0
9.671 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.671 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
9.671 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
9.671 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.671 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.671 * [taylor]: Taking taylor expansion of re in re
9.671 * [backup-simplify]: Simplify 0 into 0
9.671 * [backup-simplify]: Simplify 1 into 1
9.672 * [backup-simplify]: Simplify (* 1 1) into 1
9.672 * [backup-simplify]: Simplify (/ 1 1) into 1
9.672 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.672 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.672 * [taylor]: Taking taylor expansion of im in re
9.672 * [backup-simplify]: Simplify im into im
9.672 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.673 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.673 * [backup-simplify]: Simplify (+ 1 0) into 1
9.673 * [backup-simplify]: Simplify (sqrt 1) into 1
9.674 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.675 * [backup-simplify]: Simplify (+ 0 0) into 0
9.676 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.676 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
9.676 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
9.676 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.676 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.676 * [taylor]: Taking taylor expansion of re in re
9.676 * [backup-simplify]: Simplify 0 into 0
9.676 * [backup-simplify]: Simplify 1 into 1
9.677 * [backup-simplify]: Simplify (* 1 1) into 1
9.677 * [backup-simplify]: Simplify (/ 1 1) into 1
9.677 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.677 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.677 * [taylor]: Taking taylor expansion of im in re
9.677 * [backup-simplify]: Simplify im into im
9.677 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.678 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.678 * [backup-simplify]: Simplify (+ 1 0) into 1
9.678 * [backup-simplify]: Simplify (sqrt 1) into 1
9.679 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.680 * [backup-simplify]: Simplify (+ 0 0) into 0
9.681 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.681 * [taylor]: Taking taylor expansion of 1 in im
9.681 * [backup-simplify]: Simplify 1 into 1
9.681 * [taylor]: Taking taylor expansion of 0 in im
9.681 * [backup-simplify]: Simplify 0 into 0
9.681 * [backup-simplify]: Simplify 1 into 1
9.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.683 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
9.685 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.685 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
9.685 * [taylor]: Taking taylor expansion of 1/2 in im
9.685 * [backup-simplify]: Simplify 1/2 into 1/2
9.685 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.685 * [taylor]: Taking taylor expansion of im in im
9.685 * [backup-simplify]: Simplify 0 into 0
9.685 * [backup-simplify]: Simplify 1 into 1
9.685 * [backup-simplify]: Simplify (* 1 1) into 1
9.686 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.687 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.687 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.687 * [backup-simplify]: Simplify 0 into 0
9.688 * [backup-simplify]: Simplify 0 into 0
9.688 * [backup-simplify]: Simplify 0 into 0
9.689 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.690 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.690 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
9.691 * [backup-simplify]: Simplify (+ 0 0) into 0
9.691 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
9.691 * [taylor]: Taking taylor expansion of 0 in im
9.691 * [backup-simplify]: Simplify 0 into 0
9.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.693 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.693 * [backup-simplify]: Simplify 0 into 0
9.693 * [backup-simplify]: Simplify 0 into 0
9.693 * [backup-simplify]: Simplify 0 into 0
9.694 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
9.694 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 2 1 1)
9.694 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
9.694 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
9.694 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
9.694 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
9.694 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.694 * [taylor]: Taking taylor expansion of im in im
9.694 * [backup-simplify]: Simplify 0 into 0
9.694 * [backup-simplify]: Simplify 1 into 1
9.694 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.694 * [taylor]: Taking taylor expansion of re in im
9.694 * [backup-simplify]: Simplify re into re
9.694 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.694 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
9.695 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
9.695 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
9.695 * [backup-simplify]: Simplify (+ 0 0) into 0
9.695 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
9.695 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
9.695 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
9.695 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.695 * [taylor]: Taking taylor expansion of im in re
9.695 * [backup-simplify]: Simplify im into im
9.695 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.695 * [taylor]: Taking taylor expansion of re in re
9.695 * [backup-simplify]: Simplify 0 into 0
9.696 * [backup-simplify]: Simplify 1 into 1
9.696 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.696 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
9.696 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
9.696 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.696 * [backup-simplify]: Simplify (+ 0 0) into 0
9.697 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
9.697 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
9.697 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
9.697 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.697 * [taylor]: Taking taylor expansion of im in re
9.697 * [backup-simplify]: Simplify im into im
9.697 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.697 * [taylor]: Taking taylor expansion of re in re
9.697 * [backup-simplify]: Simplify 0 into 0
9.697 * [backup-simplify]: Simplify 1 into 1
9.697 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.697 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
9.697 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
9.697 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.698 * [backup-simplify]: Simplify (+ 0 0) into 0
9.698 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
9.698 * [taylor]: Taking taylor expansion of im in im
9.698 * [backup-simplify]: Simplify 0 into 0
9.698 * [backup-simplify]: Simplify 1 into 1
9.698 * [backup-simplify]: Simplify 0 into 0
9.698 * [taylor]: Taking taylor expansion of 0 in im
9.698 * [backup-simplify]: Simplify 0 into 0
9.698 * [backup-simplify]: Simplify 0 into 0
9.698 * [backup-simplify]: Simplify 1 into 1
9.699 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
9.699 * [backup-simplify]: Simplify (* 1 1) into 1
9.700 * [backup-simplify]: Simplify (+ 0 1) into 1
9.700 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
9.700 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
9.700 * [taylor]: Taking taylor expansion of 1/2 in im
9.701 * [backup-simplify]: Simplify 1/2 into 1/2
9.701 * [taylor]: Taking taylor expansion of im in im
9.701 * [backup-simplify]: Simplify 0 into 0
9.701 * [backup-simplify]: Simplify 1 into 1
9.701 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.702 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.702 * [backup-simplify]: Simplify 0 into 0
9.702 * [backup-simplify]: Simplify 0 into 0
9.702 * [backup-simplify]: Simplify 0 into 0
9.703 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
9.704 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.704 * [backup-simplify]: Simplify (+ 0 0) into 0
9.704 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
9.704 * [taylor]: Taking taylor expansion of 0 in im
9.704 * [backup-simplify]: Simplify 0 into 0
9.704 * [backup-simplify]: Simplify 0 into 0
9.705 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.705 * [backup-simplify]: Simplify 0 into 0
9.705 * [backup-simplify]: Simplify 0 into 0
9.706 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
9.706 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
9.706 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
9.706 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
9.706 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
9.706 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
9.706 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.706 * [taylor]: Taking taylor expansion of re in im
9.706 * [backup-simplify]: Simplify re into re
9.706 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.707 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
9.707 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.707 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.707 * [taylor]: Taking taylor expansion of im in im
9.707 * [backup-simplify]: Simplify 0 into 0
9.707 * [backup-simplify]: Simplify 1 into 1
9.707 * [backup-simplify]: Simplify (* 1 1) into 1
9.708 * [backup-simplify]: Simplify (/ 1 1) into 1
9.708 * [backup-simplify]: Simplify (+ 0 1) into 1
9.708 * [backup-simplify]: Simplify (sqrt 1) into 1
9.709 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.710 * [backup-simplify]: Simplify (+ 0 0) into 0
9.711 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.711 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
9.711 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
9.711 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.711 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.711 * [taylor]: Taking taylor expansion of re in re
9.711 * [backup-simplify]: Simplify 0 into 0
9.711 * [backup-simplify]: Simplify 1 into 1
9.712 * [backup-simplify]: Simplify (* 1 1) into 1
9.712 * [backup-simplify]: Simplify (/ 1 1) into 1
9.712 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.712 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.712 * [taylor]: Taking taylor expansion of im in re
9.712 * [backup-simplify]: Simplify im into im
9.712 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.713 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.713 * [backup-simplify]: Simplify (+ 1 0) into 1
9.713 * [backup-simplify]: Simplify (sqrt 1) into 1
9.714 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.716 * [backup-simplify]: Simplify (+ 0 0) into 0
9.716 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.716 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
9.717 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
9.717 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.717 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.717 * [taylor]: Taking taylor expansion of re in re
9.717 * [backup-simplify]: Simplify 0 into 0
9.717 * [backup-simplify]: Simplify 1 into 1
9.717 * [backup-simplify]: Simplify (* 1 1) into 1
9.717 * [backup-simplify]: Simplify (/ 1 1) into 1
9.717 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.717 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.717 * [taylor]: Taking taylor expansion of im in re
9.718 * [backup-simplify]: Simplify im into im
9.718 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.718 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.718 * [backup-simplify]: Simplify (+ 1 0) into 1
9.719 * [backup-simplify]: Simplify (sqrt 1) into 1
9.719 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.720 * [backup-simplify]: Simplify (+ 0 0) into 0
9.721 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.721 * [taylor]: Taking taylor expansion of 1 in im
9.721 * [backup-simplify]: Simplify 1 into 1
9.721 * [taylor]: Taking taylor expansion of 0 in im
9.721 * [backup-simplify]: Simplify 0 into 0
9.722 * [backup-simplify]: Simplify 1 into 1
9.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.724 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
9.725 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.725 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
9.725 * [taylor]: Taking taylor expansion of 1/2 in im
9.725 * [backup-simplify]: Simplify 1/2 into 1/2
9.725 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.725 * [taylor]: Taking taylor expansion of im in im
9.725 * [backup-simplify]: Simplify 0 into 0
9.725 * [backup-simplify]: Simplify 1 into 1
9.726 * [backup-simplify]: Simplify (* 1 1) into 1
9.726 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.727 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.728 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.728 * [backup-simplify]: Simplify 0 into 0
9.728 * [backup-simplify]: Simplify 0 into 0
9.728 * [backup-simplify]: Simplify 0 into 0
9.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.730 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.730 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
9.731 * [backup-simplify]: Simplify (+ 0 0) into 0
9.732 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
9.732 * [taylor]: Taking taylor expansion of 0 in im
9.732 * [backup-simplify]: Simplify 0 into 0
9.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.734 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.734 * [backup-simplify]: Simplify 0 into 0
9.734 * [backup-simplify]: Simplify 0 into 0
9.734 * [backup-simplify]: Simplify 0 into 0
9.734 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
9.734 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
9.734 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
9.734 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
9.734 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
9.734 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
9.734 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.734 * [taylor]: Taking taylor expansion of re in im
9.734 * [backup-simplify]: Simplify re into re
9.735 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.735 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
9.735 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.735 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.735 * [taylor]: Taking taylor expansion of im in im
9.735 * [backup-simplify]: Simplify 0 into 0
9.735 * [backup-simplify]: Simplify 1 into 1
9.735 * [backup-simplify]: Simplify (* 1 1) into 1
9.737 * [backup-simplify]: Simplify (/ 1 1) into 1
9.738 * [backup-simplify]: Simplify (+ 0 1) into 1
9.738 * [backup-simplify]: Simplify (sqrt 1) into 1
9.739 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.740 * [backup-simplify]: Simplify (+ 0 0) into 0
9.741 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.741 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
9.741 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
9.741 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.741 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.741 * [taylor]: Taking taylor expansion of re in re
9.741 * [backup-simplify]: Simplify 0 into 0
9.741 * [backup-simplify]: Simplify 1 into 1
9.742 * [backup-simplify]: Simplify (* 1 1) into 1
9.742 * [backup-simplify]: Simplify (/ 1 1) into 1
9.742 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.742 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.742 * [taylor]: Taking taylor expansion of im in re
9.742 * [backup-simplify]: Simplify im into im
9.743 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.743 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.743 * [backup-simplify]: Simplify (+ 1 0) into 1
9.744 * [backup-simplify]: Simplify (sqrt 1) into 1
9.745 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.746 * [backup-simplify]: Simplify (+ 0 0) into 0
9.747 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.747 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
9.747 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
9.747 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.747 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.747 * [taylor]: Taking taylor expansion of re in re
9.747 * [backup-simplify]: Simplify 0 into 0
9.747 * [backup-simplify]: Simplify 1 into 1
9.747 * [backup-simplify]: Simplify (* 1 1) into 1
9.748 * [backup-simplify]: Simplify (/ 1 1) into 1
9.748 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.748 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.748 * [taylor]: Taking taylor expansion of im in re
9.748 * [backup-simplify]: Simplify im into im
9.748 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.748 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.749 * [backup-simplify]: Simplify (+ 1 0) into 1
9.749 * [backup-simplify]: Simplify (sqrt 1) into 1
9.750 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.751 * [backup-simplify]: Simplify (+ 0 0) into 0
9.752 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.752 * [taylor]: Taking taylor expansion of 1 in im
9.752 * [backup-simplify]: Simplify 1 into 1
9.752 * [taylor]: Taking taylor expansion of 0 in im
9.752 * [backup-simplify]: Simplify 0 into 0
9.752 * [backup-simplify]: Simplify 1 into 1
9.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.754 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
9.755 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.755 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
9.755 * [taylor]: Taking taylor expansion of 1/2 in im
9.755 * [backup-simplify]: Simplify 1/2 into 1/2
9.755 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.755 * [taylor]: Taking taylor expansion of im in im
9.755 * [backup-simplify]: Simplify 0 into 0
9.755 * [backup-simplify]: Simplify 1 into 1
9.755 * [backup-simplify]: Simplify (* 1 1) into 1
9.756 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.757 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.757 * [backup-simplify]: Simplify 0 into 0
9.757 * [backup-simplify]: Simplify 0 into 0
9.757 * [backup-simplify]: Simplify 0 into 0
9.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.758 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.758 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
9.759 * [backup-simplify]: Simplify (+ 0 0) into 0
9.759 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
9.759 * [taylor]: Taking taylor expansion of 0 in im
9.759 * [backup-simplify]: Simplify 0 into 0
9.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.760 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.760 * [backup-simplify]: Simplify 0 into 0
9.760 * [backup-simplify]: Simplify 0 into 0
9.760 * [backup-simplify]: Simplify 0 into 0
9.760 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
9.760 * * * [progress]: simplifying candidates
9.761 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
9.762 * * [simplify]: iteration 0: 38 enodes
9.770 * * [simplify]: iteration 1: 91 enodes
9.789 * * [simplify]: iteration 2: 195 enodes
9.849 * * [simplify]: iteration 3: 429 enodes
10.061 * * [simplify]: iteration 4: 992 enodes
10.752 * * [simplify]: iteration 5: 3274 enodes
12.006 * * [simplify]: iteration complete: 5001 enodes
12.006 * * [simplify]: Extracting #0: cost 18 inf + 0
12.006 * * [simplify]: Extracting #1: cost 36 inf + 4
12.007 * * [simplify]: Extracting #2: cost 198 inf + 49
12.011 * * [simplify]: Extracting #3: cost 844 inf + 9394
12.044 * * [simplify]: Extracting #4: cost 709 inf + 109362
12.108 * * [simplify]: Extracting #5: cost 361 inf + 200387
12.173 * * [simplify]: Extracting #6: cost 181 inf + 287241
12.276 * * [simplify]: Extracting #7: cost 70 inf + 354319
12.374 * * [simplify]: Extracting #8: cost 19 inf + 368136
12.441 * * [simplify]: Extracting #9: cost 0 inf + 373703
12.519 * [simplify]: Simplified to:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im (* im im)) (* im (* im im)))))
  (sqrt (+ (* (* re re) (- (* re re) (* im im))) (* (* im im) (* im im))))
  (sqrt (* (- (* re re) (* im im)) (+ (* im im) (* re re))))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im (* im im)) (* im (* im im)))))
  (sqrt (+ (* (* re re) (- (* re re) (* im im))) (* (* im im) (* im im))))
  (sqrt (* (- (* re re) (* im im)) (+ (* im im) (* re re))))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im (* im im)) (* im (* im im)))))
  (sqrt (+ (* (* re re) (- (* re re) (* im im))) (* (* im im) (* im im))))
  (sqrt (* (- (* re re) (* im im)) (+ (* im im) (* re re))))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im (* im im)) (* im (* im im)))))
  (sqrt (+ (* (* re re) (- (* re re) (* im im))) (* (* im im) (* im im))))
  (sqrt (* (- (* re re) (* im im)) (+ (* im im) (* re re))))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  im
  re
  (- re)
  im
  re
  (- re)
  im
  re
  (- re)
  im
  re
  (- re)
12.549 * * * [progress]: adding candidates to table
13.171 * [progress]: [Phase 3 of 3] Extracting.
13.171 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (* -2 re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (exp (log (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (* -2 re))))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))>)
13.175 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re)
13.175 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (* -2 re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (exp (log (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (* -2 re))))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))>)
13.277 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (* -2 re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (exp (log (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))>)
13.345 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (* -2 re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (exp (log (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (* -2 re))))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))>)
13.456 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (* -2 re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (exp (log (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (* -2 re))))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))>)
13.556 * * * [regime]: Found split indices: #<option (#s(si 1 38) #s(si 5 146) #s(si 2 215) #s(si 4 255))>
13.557 * [binary-search]: Improving bounds with binary search for re and (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (* -2 re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (exp (log (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (* -2 re))))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))>)
13.834 * [regimes]: Found splitpoints: (#s(sp 1 re -1.347179798748404e+154) #s(sp 5 re 2.6970279790672107e-241) #s(sp 2 re 1.472855835931037e+93) #s(sp 4 re +nan.0)) , with alts (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (* -2 re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (exp (log (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (* -2 re))))))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))>)
13.835 * [simplify]: Simplifying:
  (if (<= re -1.347179798748404e+154) (* 0.5 (sqrt (* 2.0 (/ (* im im) (* -2 re))))) (if (<= re 2.6970279790672107e-241) (* 0.5 (sqrt (* 2.0 (* (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))))))) (if (<= re 1.472855835931037e+93) (* 0.5 (sqrt (* 2.0 (+ (sqrt (exp (log (+ (* re re) (* im im))))) re)))) (* 0.5 (sqrt (* 2.0 (+ re re)))))))
13.835 * * [simplify]: iteration 0: 47 enodes
13.837 * * [simplify]: iteration 1: 60 enodes
13.839 * * [simplify]: iteration complete: 60 enodes
13.839 * * [simplify]: Extracting #0: cost 1 inf + 0
13.839 * * [simplify]: Extracting #1: cost 4 inf + 0
13.839 * * [simplify]: Extracting #2: cost 11 inf + 0
13.839 * * [simplify]: Extracting #3: cost 14 inf + 3
13.839 * * [simplify]: Extracting #4: cost 17 inf + 138
13.839 * * [simplify]: Extracting #5: cost 19 inf + 207
13.839 * * [simplify]: Extracting #6: cost 25 inf + 207
13.839 * * [simplify]: Extracting #7: cost 21 inf + 659
13.839 * * [simplify]: Extracting #8: cost 22 inf + 823
13.840 * * [simplify]: Extracting #9: cost 22 inf + 1436
13.840 * * [simplify]: Extracting #10: cost 25 inf + 1436
13.840 * * [simplify]: Extracting #11: cost 26 inf + 1436
13.840 * * [simplify]: Extracting #12: cost 24 inf + 1599
13.841 * * [simplify]: Extracting #13: cost 20 inf + 2517
13.841 * * [simplify]: Extracting #14: cost 15 inf + 3968
13.842 * * [simplify]: Extracting #15: cost 8 inf + 6818
13.843 * * [simplify]: Extracting #16: cost 7 inf + 7220
13.845 * * [simplify]: Extracting #17: cost 6 inf + 7662
13.848 * * [simplify]: Extracting #18: cost 4 inf + 8907
13.851 * * [simplify]: Extracting #19: cost 2 inf + 10314
13.854 * * [simplify]: Extracting #20: cost 1 inf + 11800
13.858 * * [simplify]: Extracting #21: cost 0 inf + 13618
13.862 * [simplify]: Simplified to:
  (if (<= re -1.347179798748404e+154) (* 0.5 (sqrt (* 2.0 (/ (* im im) (* -2 re))))) (if (<= re 2.6970279790672107e-241) (* 0.5 (sqrt (* (* (/ im (sqrt (- (* (cbrt (sqrt (+ (* im im) (* re re)))) (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re)))))) re))) (/ im (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) 2.0))) (if (<= re 1.472855835931037e+93) (* (sqrt (* 2.0 (+ re (sqrt (exp (log (+ (* im im) (* re re)))))))) 0.5) (* 0.5 (sqrt (* 2.0 (+ re re)))))))
17.354 * [regime-testing]: Baseline error score: 40.768746707247445
17.372 * [regime-testing]: Oracle error score: 14.403306017147308
17.408 * [regime-testing]: End program error score: 24.13298974661374
17.599 * [regime-testing]: Target error score: 33.69273924005293