25.105 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.045 * * * [progress]: [2/2] Setting up program.
0.049 * [progress]: [Phase 2 of 3] Improving.
0.049 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
0.049 * * [simplify]: iteration 0: 12 enodes
0.051 * * [simplify]: iteration 1: 22 enodes
0.053 * * [simplify]: iteration 2: 24 enodes
0.056 * * [simplify]: iteration complete: 24 enodes
0.056 * * [simplify]: Extracting #0: cost 1 inf + 0
0.056 * * [simplify]: Extracting #1: cost 3 inf + 0
0.056 * * [simplify]: Extracting #2: cost 3 inf + 1
0.056 * * [simplify]: Extracting #3: cost 7 inf + 1
0.056 * * [simplify]: Extracting #4: cost 8 inf + 2
0.056 * * [simplify]: Extracting #5: cost 8 inf + 3
0.056 * * [simplify]: Extracting #6: cost 9 inf + 45
0.056 * * [simplify]: Extracting #7: cost 9 inf + 86
0.056 * * [simplify]: Extracting #8: cost 7 inf + 128
0.056 * * [simplify]: Extracting #9: cost 5 inf + 412
0.057 * * [simplify]: Extracting #10: cost 2 inf + 1060
0.057 * * [simplify]: Extracting #11: cost 0 inf + 1667
0.057 * [simplify]: Simplified to:
  (* 0.5 (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2.0)))
0.058 * * [progress]: iteration 1 / 4
0.058 * * * [progress]: picking best candidate
0.062 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))>
0.062 * * * [progress]: localizing error
0.081 * * * [progress]: generating rewritten candidates
0.082 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1)
0.111 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2)
0.159 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1)
0.171 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
0.210 * * * [progress]: generating series expansions
0.210 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1)
0.210 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
0.210 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
0.210 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.210 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.210 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.210 * [taylor]: Taking taylor expansion of im in im
0.210 * [backup-simplify]: Simplify 0 into 0
0.210 * [backup-simplify]: Simplify 1 into 1
0.210 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.210 * [taylor]: Taking taylor expansion of re in im
0.210 * [backup-simplify]: Simplify re into re
0.211 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.211 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.211 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.211 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.212 * [backup-simplify]: Simplify (+ 0 0) into 0
0.212 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.212 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.212 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.212 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.212 * [taylor]: Taking taylor expansion of im in re
0.212 * [backup-simplify]: Simplify im into im
0.212 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.212 * [taylor]: Taking taylor expansion of re in re
0.212 * [backup-simplify]: Simplify 0 into 0
0.212 * [backup-simplify]: Simplify 1 into 1
0.212 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.212 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.212 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.212 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.213 * [backup-simplify]: Simplify (+ 0 0) into 0
0.213 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.213 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.213 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.213 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.213 * [taylor]: Taking taylor expansion of im in re
0.213 * [backup-simplify]: Simplify im into im
0.213 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.213 * [taylor]: Taking taylor expansion of re in re
0.213 * [backup-simplify]: Simplify 0 into 0
0.213 * [backup-simplify]: Simplify 1 into 1
0.213 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.214 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.214 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.214 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.214 * [backup-simplify]: Simplify (+ 0 0) into 0
0.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.214 * [taylor]: Taking taylor expansion of im in im
0.215 * [backup-simplify]: Simplify 0 into 0
0.215 * [backup-simplify]: Simplify 1 into 1
0.215 * [backup-simplify]: Simplify 0 into 0
0.215 * [taylor]: Taking taylor expansion of 0 in im
0.215 * [backup-simplify]: Simplify 0 into 0
0.215 * [backup-simplify]: Simplify 0 into 0
0.215 * [backup-simplify]: Simplify 1 into 1
0.215 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.216 * [backup-simplify]: Simplify (* 1 1) into 1
0.216 * [backup-simplify]: Simplify (+ 0 1) into 1
0.217 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.217 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.217 * [taylor]: Taking taylor expansion of 1/2 in im
0.217 * [backup-simplify]: Simplify 1/2 into 1/2
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 (/ 1/2 1) into 1/2
0.218 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.218 * [backup-simplify]: Simplify 0 into 0
0.218 * [backup-simplify]: Simplify 0 into 0
0.218 * [backup-simplify]: Simplify 0 into 0
0.219 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.220 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.220 * [backup-simplify]: Simplify (+ 0 0) into 0
0.220 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.221 * [taylor]: Taking taylor expansion of 0 in im
0.221 * [backup-simplify]: Simplify 0 into 0
0.221 * [backup-simplify]: Simplify 0 into 0
0.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.222 * [backup-simplify]: Simplify 0 into 0
0.222 * [backup-simplify]: Simplify 0 into 0
0.222 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.222 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
0.222 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
0.222 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.222 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.222 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.222 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.222 * [taylor]: Taking taylor expansion of re in im
0.222 * [backup-simplify]: Simplify re into re
0.222 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.223 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.223 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.223 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.223 * [taylor]: Taking taylor expansion of im in im
0.223 * [backup-simplify]: Simplify 0 into 0
0.223 * [backup-simplify]: Simplify 1 into 1
0.223 * [backup-simplify]: Simplify (* 1 1) into 1
0.223 * [backup-simplify]: Simplify (/ 1 1) into 1
0.224 * [backup-simplify]: Simplify (+ 0 1) into 1
0.224 * [backup-simplify]: Simplify (sqrt 1) into 1
0.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.226 * [backup-simplify]: Simplify (+ 0 0) into 0
0.227 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.227 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.227 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.227 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.227 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.227 * [taylor]: Taking taylor expansion of re in re
0.227 * [backup-simplify]: Simplify 0 into 0
0.227 * [backup-simplify]: Simplify 1 into 1
0.227 * [backup-simplify]: Simplify (* 1 1) into 1
0.227 * [backup-simplify]: Simplify (/ 1 1) into 1
0.228 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.228 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.228 * [taylor]: Taking taylor expansion of im in re
0.228 * [backup-simplify]: Simplify im into im
0.228 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.228 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.228 * [backup-simplify]: Simplify (+ 1 0) into 1
0.229 * [backup-simplify]: Simplify (sqrt 1) into 1
0.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.230 * [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 (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.231 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.231 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.231 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.231 * [taylor]: Taking taylor expansion of re in re
0.231 * [backup-simplify]: Simplify 0 into 0
0.231 * [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
0.232 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.232 * [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
0.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.235 * [backup-simplify]: Simplify (+ 0 0) into 0
0.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.240 * [taylor]: Taking taylor expansion of 1 in im
0.240 * [backup-simplify]: Simplify 1 into 1
0.240 * [taylor]: Taking taylor expansion of 0 in im
0.240 * [backup-simplify]: Simplify 0 into 0
0.240 * [backup-simplify]: Simplify 1 into 1
0.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.242 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.243 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.243 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.243 * [taylor]: Taking taylor expansion of 1/2 in im
0.243 * [backup-simplify]: Simplify 1/2 into 1/2
0.243 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.243 * [taylor]: Taking taylor expansion of im in im
0.243 * [backup-simplify]: Simplify 0 into 0
0.243 * [backup-simplify]: Simplify 1 into 1
0.244 * [backup-simplify]: Simplify (* 1 1) into 1
0.244 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.246 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.246 * [backup-simplify]: Simplify 0 into 0
0.246 * [backup-simplify]: Simplify 0 into 0
0.246 * [backup-simplify]: Simplify 0 into 0
0.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.248 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.248 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.248 * [backup-simplify]: Simplify (+ 0 0) into 0
0.249 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.249 * [taylor]: Taking taylor expansion of 0 in im
0.249 * [backup-simplify]: Simplify 0 into 0
0.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.251 * [backup-simplify]: Simplify 0 into 0
0.251 * [backup-simplify]: Simplify 0 into 0
0.251 * [backup-simplify]: Simplify 0 into 0
0.251 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.252 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
0.252 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
0.252 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.252 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.252 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.252 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.252 * [taylor]: Taking taylor expansion of re in im
0.252 * [backup-simplify]: Simplify re into re
0.252 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.252 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.252 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.252 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.252 * [taylor]: Taking taylor expansion of im in im
0.252 * [backup-simplify]: Simplify 0 into 0
0.252 * [backup-simplify]: Simplify 1 into 1
0.253 * [backup-simplify]: Simplify (* 1 1) into 1
0.253 * [backup-simplify]: Simplify (/ 1 1) into 1
0.254 * [backup-simplify]: Simplify (+ 0 1) into 1
0.254 * [backup-simplify]: Simplify (sqrt 1) into 1
0.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.256 * [backup-simplify]: Simplify (+ 0 0) into 0
0.256 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.256 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.256 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.256 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.256 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.256 * [taylor]: Taking taylor expansion of re in re
0.256 * [backup-simplify]: Simplify 0 into 0
0.256 * [backup-simplify]: Simplify 1 into 1
0.257 * [backup-simplify]: Simplify (* 1 1) into 1
0.257 * [backup-simplify]: Simplify (/ 1 1) into 1
0.257 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.257 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.257 * [taylor]: Taking taylor expansion of im in re
0.257 * [backup-simplify]: Simplify im into im
0.257 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.258 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.258 * [backup-simplify]: Simplify (+ 1 0) into 1
0.258 * [backup-simplify]: Simplify (sqrt 1) into 1
0.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.260 * [backup-simplify]: Simplify (+ 0 0) into 0
0.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.261 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.261 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.261 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.261 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.261 * [taylor]: Taking taylor expansion of re in re
0.261 * [backup-simplify]: Simplify 0 into 0
0.261 * [backup-simplify]: Simplify 1 into 1
0.261 * [backup-simplify]: Simplify (* 1 1) into 1
0.262 * [backup-simplify]: Simplify (/ 1 1) into 1
0.262 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.262 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.262 * [taylor]: Taking taylor expansion of im in re
0.262 * [backup-simplify]: Simplify im into im
0.262 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.262 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.262 * [backup-simplify]: Simplify (+ 1 0) into 1
0.263 * [backup-simplify]: Simplify (sqrt 1) into 1
0.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.265 * [backup-simplify]: Simplify (+ 0 0) into 0
0.265 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.265 * [taylor]: Taking taylor expansion of 1 in im
0.265 * [backup-simplify]: Simplify 1 into 1
0.265 * [taylor]: Taking taylor expansion of 0 in im
0.266 * [backup-simplify]: Simplify 0 into 0
0.266 * [backup-simplify]: Simplify 1 into 1
0.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.268 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.269 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.269 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.269 * [taylor]: Taking taylor expansion of 1/2 in im
0.269 * [backup-simplify]: Simplify 1/2 into 1/2
0.269 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.269 * [taylor]: Taking taylor expansion of im in im
0.269 * [backup-simplify]: Simplify 0 into 0
0.269 * [backup-simplify]: Simplify 1 into 1
0.270 * [backup-simplify]: Simplify (* 1 1) into 1
0.270 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.272 * [backup-simplify]: Simplify 0 into 0
0.272 * [backup-simplify]: Simplify 0 into 0
0.272 * [backup-simplify]: Simplify 0 into 0
0.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.274 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.274 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.275 * [backup-simplify]: Simplify (+ 0 0) into 0
0.275 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) 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 (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.277 * [backup-simplify]: Simplify 0 into 0
0.277 * [backup-simplify]: Simplify 0 into 0
0.277 * [backup-simplify]: Simplify 0 into 0
0.278 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.278 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2)
0.278 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2))))
0.278 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0
0.278 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
0.278 * [taylor]: Taking taylor expansion of re in im
0.278 * [backup-simplify]: Simplify re into re
0.278 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.278 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.278 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.278 * [taylor]: Taking taylor expansion of im in im
0.278 * [backup-simplify]: Simplify 0 into 0
0.278 * [backup-simplify]: Simplify 1 into 1
0.278 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.278 * [taylor]: Taking taylor expansion of re in im
0.278 * [backup-simplify]: Simplify re into re
0.278 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.279 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.279 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.279 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.279 * [backup-simplify]: Simplify (+ 0 0) into 0
0.279 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.279 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.279 * [taylor]: Taking taylor expansion of re in re
0.279 * [backup-simplify]: Simplify 0 into 0
0.279 * [backup-simplify]: Simplify 1 into 1
0.279 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.280 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.280 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.280 * [taylor]: Taking taylor expansion of im in re
0.280 * [backup-simplify]: Simplify im into im
0.280 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.280 * [taylor]: Taking taylor expansion of re in re
0.280 * [backup-simplify]: Simplify 0 into 0
0.280 * [backup-simplify]: Simplify 1 into 1
0.280 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.280 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.280 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.280 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.281 * [backup-simplify]: Simplify (+ 0 0) into 0
0.281 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.281 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.281 * [taylor]: Taking taylor expansion of re in re
0.281 * [backup-simplify]: Simplify 0 into 0
0.281 * [backup-simplify]: Simplify 1 into 1
0.281 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.281 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.281 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.281 * [taylor]: Taking taylor expansion of im in re
0.281 * [backup-simplify]: Simplify im into im
0.281 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.281 * [taylor]: Taking taylor expansion of re in re
0.281 * [backup-simplify]: Simplify 0 into 0
0.281 * [backup-simplify]: Simplify 1 into 1
0.281 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.281 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.282 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.282 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.282 * [backup-simplify]: Simplify (+ 0 0) into 0
0.282 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.282 * [backup-simplify]: Simplify (+ 0 im) into im
0.282 * [taylor]: Taking taylor expansion of im in im
0.282 * [backup-simplify]: Simplify 0 into 0
0.282 * [backup-simplify]: Simplify 1 into 1
0.282 * [backup-simplify]: Simplify 0 into 0
0.283 * [backup-simplify]: Simplify (+ 1 0) into 1
0.283 * [taylor]: Taking taylor expansion of 1 in im
0.283 * [backup-simplify]: Simplify 1 into 1
0.283 * [backup-simplify]: Simplify 1 into 1
0.283 * [backup-simplify]: Simplify 1 into 1
0.283 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.284 * [backup-simplify]: Simplify (* 1 1) into 1
0.284 * [backup-simplify]: Simplify (+ 0 1) into 1
0.285 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.285 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.285 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
0.285 * [taylor]: Taking taylor expansion of 1/2 in im
0.285 * [backup-simplify]: Simplify 1/2 into 1/2
0.285 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.285 * [taylor]: Taking taylor expansion of im in im
0.285 * [backup-simplify]: Simplify 0 into 0
0.285 * [backup-simplify]: Simplify 1 into 1
0.286 * [backup-simplify]: Simplify (/ 1 1) into 1
0.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.287 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.287 * [backup-simplify]: Simplify 0 into 0
0.287 * [backup-simplify]: Simplify 0 into 0
0.287 * [backup-simplify]: Simplify 0 into 0
0.288 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.289 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.289 * [backup-simplify]: Simplify (+ 0 0) into 0
0.289 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.290 * [backup-simplify]: Simplify (+ 0 0) into 0
0.290 * [taylor]: Taking taylor expansion of 0 in im
0.290 * [backup-simplify]: Simplify 0 into 0
0.290 * [backup-simplify]: Simplify 0 into 0
0.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.292 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.292 * [backup-simplify]: Simplify 0 into 0
0.292 * [backup-simplify]: Simplify 0 into 0
0.292 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
0.293 * [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)))))
0.293 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
0.293 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
0.293 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.293 * [taylor]: Taking taylor expansion of re in im
0.293 * [backup-simplify]: Simplify re into re
0.293 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.293 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.293 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.293 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.293 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.293 * [taylor]: Taking taylor expansion of re in im
0.293 * [backup-simplify]: Simplify re into re
0.293 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.293 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.293 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.293 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.293 * [taylor]: Taking taylor expansion of im in im
0.293 * [backup-simplify]: Simplify 0 into 0
0.293 * [backup-simplify]: Simplify 1 into 1
0.294 * [backup-simplify]: Simplify (* 1 1) into 1
0.294 * [backup-simplify]: Simplify (/ 1 1) into 1
0.295 * [backup-simplify]: Simplify (+ 0 1) into 1
0.295 * [backup-simplify]: Simplify (sqrt 1) into 1
0.296 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.297 * [backup-simplify]: Simplify (+ 0 0) into 0
0.298 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.298 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.298 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.298 * [taylor]: Taking taylor expansion of re in re
0.298 * [backup-simplify]: Simplify 0 into 0
0.298 * [backup-simplify]: Simplify 1 into 1
0.298 * [backup-simplify]: Simplify (/ 1 1) into 1
0.298 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.298 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.298 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.298 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.298 * [taylor]: Taking taylor expansion of re in re
0.298 * [backup-simplify]: Simplify 0 into 0
0.298 * [backup-simplify]: Simplify 1 into 1
0.299 * [backup-simplify]: Simplify (* 1 1) into 1
0.299 * [backup-simplify]: Simplify (/ 1 1) into 1
0.299 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.299 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.299 * [taylor]: Taking taylor expansion of im in re
0.299 * [backup-simplify]: Simplify im into im
0.299 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.300 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.300 * [backup-simplify]: Simplify (+ 1 0) into 1
0.300 * [backup-simplify]: Simplify (sqrt 1) into 1
0.301 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.302 * [backup-simplify]: Simplify (+ 0 0) into 0
0.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.303 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.303 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.303 * [taylor]: Taking taylor expansion of re in re
0.303 * [backup-simplify]: Simplify 0 into 0
0.303 * [backup-simplify]: Simplify 1 into 1
0.303 * [backup-simplify]: Simplify (/ 1 1) into 1
0.303 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.303 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.304 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.304 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.304 * [taylor]: Taking taylor expansion of re in re
0.304 * [backup-simplify]: Simplify 0 into 0
0.304 * [backup-simplify]: Simplify 1 into 1
0.304 * [backup-simplify]: Simplify (* 1 1) into 1
0.304 * [backup-simplify]: Simplify (/ 1 1) into 1
0.304 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.305 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.305 * [taylor]: Taking taylor expansion of im in re
0.305 * [backup-simplify]: Simplify im into im
0.305 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.305 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.305 * [backup-simplify]: Simplify (+ 1 0) into 1
0.306 * [backup-simplify]: Simplify (sqrt 1) into 1
0.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.307 * [backup-simplify]: Simplify (+ 0 0) into 0
0.308 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.309 * [backup-simplify]: Simplify (+ 1 1) into 2
0.309 * [taylor]: Taking taylor expansion of 2 in im
0.309 * [backup-simplify]: Simplify 2 into 2
0.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.310 * [backup-simplify]: Simplify (+ 0 0) into 0
0.310 * [taylor]: Taking taylor expansion of 0 in im
0.310 * [backup-simplify]: Simplify 0 into 0
0.310 * [backup-simplify]: Simplify 2 into 2
0.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.313 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.314 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.314 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.314 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.314 * [taylor]: Taking taylor expansion of 1/2 in im
0.315 * [backup-simplify]: Simplify 1/2 into 1/2
0.315 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.315 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.315 * [taylor]: Taking taylor expansion of im in im
0.315 * [backup-simplify]: Simplify 0 into 0
0.315 * [backup-simplify]: Simplify 1 into 1
0.315 * [backup-simplify]: Simplify (* 1 1) into 1
0.315 * [backup-simplify]: Simplify (/ 1 1) into 1
0.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.318 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.318 * [backup-simplify]: Simplify 0 into 0
0.318 * [backup-simplify]: Simplify 0 into 0
0.318 * [backup-simplify]: Simplify 0 into 0
0.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.321 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.321 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.322 * [backup-simplify]: Simplify (+ 0 0) into 0
0.322 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.323 * [backup-simplify]: Simplify (+ 0 0) into 0
0.323 * [taylor]: Taking taylor expansion of 0 in im
0.323 * [backup-simplify]: Simplify 0 into 0
0.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.325 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.325 * [backup-simplify]: Simplify 0 into 0
0.326 * [backup-simplify]: Simplify 0 into 0
0.326 * [backup-simplify]: Simplify 0 into 0
0.326 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
0.326 * [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))
0.326 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
0.326 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
0.326 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.326 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.326 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.326 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.326 * [taylor]: Taking taylor expansion of re in im
0.326 * [backup-simplify]: Simplify re into re
0.326 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.327 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.327 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.327 * [taylor]: Taking taylor expansion of im in im
0.327 * [backup-simplify]: Simplify 0 into 0
0.327 * [backup-simplify]: Simplify 1 into 1
0.327 * [backup-simplify]: Simplify (* 1 1) into 1
0.328 * [backup-simplify]: Simplify (/ 1 1) into 1
0.328 * [backup-simplify]: Simplify (+ 0 1) into 1
0.328 * [backup-simplify]: Simplify (sqrt 1) into 1
0.329 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.330 * [backup-simplify]: Simplify (+ 0 0) into 0
0.331 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.331 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.331 * [taylor]: Taking taylor expansion of re in im
0.331 * [backup-simplify]: Simplify re into re
0.331 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.331 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.331 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.331 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.331 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.331 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.331 * [taylor]: Taking taylor expansion of re in re
0.331 * [backup-simplify]: Simplify 0 into 0
0.331 * [backup-simplify]: Simplify 1 into 1
0.332 * [backup-simplify]: Simplify (* 1 1) into 1
0.332 * [backup-simplify]: Simplify (/ 1 1) into 1
0.332 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.332 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.332 * [taylor]: Taking taylor expansion of im in re
0.332 * [backup-simplify]: Simplify im into im
0.332 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.332 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.333 * [backup-simplify]: Simplify (+ 1 0) into 1
0.333 * [backup-simplify]: Simplify (sqrt 1) into 1
0.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.334 * [backup-simplify]: Simplify (+ 0 0) into 0
0.334 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.334 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.334 * [taylor]: Taking taylor expansion of re in re
0.334 * [backup-simplify]: Simplify 0 into 0
0.334 * [backup-simplify]: Simplify 1 into 1
0.335 * [backup-simplify]: Simplify (/ 1 1) into 1
0.335 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.335 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.335 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.335 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.335 * [taylor]: Taking taylor expansion of re in re
0.335 * [backup-simplify]: Simplify 0 into 0
0.335 * [backup-simplify]: Simplify 1 into 1
0.335 * [backup-simplify]: Simplify (* 1 1) into 1
0.335 * [backup-simplify]: Simplify (/ 1 1) into 1
0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.335 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.335 * [taylor]: Taking taylor expansion of im in re
0.335 * [backup-simplify]: Simplify im into im
0.335 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.335 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.336 * [backup-simplify]: Simplify (+ 1 0) into 1
0.336 * [backup-simplify]: Simplify (sqrt 1) into 1
0.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.337 * [backup-simplify]: Simplify (+ 0 0) into 0
0.337 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.337 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.337 * [taylor]: Taking taylor expansion of re in re
0.337 * [backup-simplify]: Simplify 0 into 0
0.337 * [backup-simplify]: Simplify 1 into 1
0.338 * [backup-simplify]: Simplify (/ 1 1) into 1
0.338 * [backup-simplify]: Simplify (- 1) into -1
0.338 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.338 * [taylor]: Taking taylor expansion of 0 in im
0.338 * [backup-simplify]: Simplify 0 into 0
0.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.339 * [backup-simplify]: Simplify (- 0) into 0
0.339 * [backup-simplify]: Simplify (+ 0 0) into 0
0.339 * [taylor]: Taking taylor expansion of 0 in im
0.339 * [backup-simplify]: Simplify 0 into 0
0.339 * [backup-simplify]: Simplify 0 into 0
0.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.340 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.341 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.342 * [backup-simplify]: Simplify (- 0) into 0
0.342 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.342 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.342 * [taylor]: Taking taylor expansion of 1/2 in im
0.342 * [backup-simplify]: Simplify 1/2 into 1/2
0.342 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.342 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.342 * [taylor]: Taking taylor expansion of im in im
0.342 * [backup-simplify]: Simplify 0 into 0
0.342 * [backup-simplify]: Simplify 1 into 1
0.342 * [backup-simplify]: Simplify (* 1 1) into 1
0.343 * [backup-simplify]: Simplify (/ 1 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 (+ (* 1/2 0) (* 0 1)) into 0
0.344 * [backup-simplify]: Simplify 0 into 0
0.344 * [backup-simplify]: Simplify 0 into 0
0.344 * [backup-simplify]: Simplify 0 into 0
0.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.345 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.346 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.346 * [backup-simplify]: Simplify (+ 0 0) into 0
0.346 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.347 * [backup-simplify]: Simplify (- 0) into 0
0.347 * [backup-simplify]: Simplify (+ 0 0) into 0
0.347 * [taylor]: Taking taylor expansion of 0 in im
0.347 * [backup-simplify]: Simplify 0 into 0
0.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.349 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.349 * [backup-simplify]: Simplify 0 into 0
0.349 * [backup-simplify]: Simplify 0 into 0
0.349 * [backup-simplify]: Simplify 0 into 0
0.349 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1)
0.349 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow im 2) (pow re 2))
0.349 * [approximate]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in (re im) around 0
0.349 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.349 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.349 * [taylor]: Taking taylor expansion of im in im
0.349 * [backup-simplify]: Simplify 0 into 0
0.349 * [backup-simplify]: Simplify 1 into 1
0.349 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.349 * [taylor]: Taking taylor expansion of re in im
0.349 * [backup-simplify]: Simplify re into re
0.349 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.349 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.349 * [taylor]: Taking taylor expansion of im in re
0.349 * [backup-simplify]: Simplify im into im
0.349 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.349 * [taylor]: Taking taylor expansion of re in re
0.349 * [backup-simplify]: Simplify 0 into 0
0.349 * [backup-simplify]: Simplify 1 into 1
0.349 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.349 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.349 * [taylor]: Taking taylor expansion of im in re
0.349 * [backup-simplify]: Simplify im into im
0.349 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.349 * [taylor]: Taking taylor expansion of re in re
0.349 * [backup-simplify]: Simplify 0 into 0
0.349 * [backup-simplify]: Simplify 1 into 1
0.349 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.350 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.350 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.350 * [taylor]: Taking taylor expansion of im in im
0.350 * [backup-simplify]: Simplify 0 into 0
0.350 * [backup-simplify]: Simplify 1 into 1
0.350 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.350 * [backup-simplify]: Simplify (+ 0 0) into 0
0.350 * [taylor]: Taking taylor expansion of 0 in im
0.350 * [backup-simplify]: Simplify 0 into 0
0.350 * [backup-simplify]: Simplify 0 into 0
0.350 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.351 * [backup-simplify]: Simplify (* 1 1) into 1
0.351 * [backup-simplify]: Simplify (+ 0 1) into 1
0.351 * [taylor]: Taking taylor expansion of 1 in im
0.351 * [backup-simplify]: Simplify 1 into 1
0.351 * [backup-simplify]: Simplify 1 into 1
0.351 * [backup-simplify]: Simplify 0 into 0
0.351 * [backup-simplify]: Simplify (* 1 1) into 1
0.351 * [backup-simplify]: Simplify 1 into 1
0.352 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.352 * [backup-simplify]: Simplify (+ 0 0) into 0
0.352 * [taylor]: Taking taylor expansion of 0 in im
0.352 * [backup-simplify]: Simplify 0 into 0
0.352 * [backup-simplify]: Simplify 0 into 0
0.352 * [backup-simplify]: Simplify 0 into 0
0.352 * [backup-simplify]: Simplify 0 into 0
0.353 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.353 * [backup-simplify]: Simplify 0 into 0
0.354 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0
0.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.354 * [backup-simplify]: Simplify (+ 0 0) into 0
0.354 * [taylor]: Taking taylor expansion of 0 in im
0.354 * [backup-simplify]: Simplify 0 into 0
0.354 * [backup-simplify]: Simplify 0 into 0
0.354 * [backup-simplify]: Simplify 0 into 0
0.355 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow im 2) (pow re 2))
0.355 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))
0.355 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0
0.355 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.355 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.355 * [taylor]: Taking taylor expansion of re in im
0.355 * [backup-simplify]: Simplify re into re
0.355 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.355 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.355 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.355 * [taylor]: Taking taylor expansion of im in im
0.355 * [backup-simplify]: Simplify 0 into 0
0.355 * [backup-simplify]: Simplify 1 into 1
0.355 * [backup-simplify]: Simplify (* 1 1) into 1
0.356 * [backup-simplify]: Simplify (/ 1 1) into 1
0.356 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.356 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.356 * [taylor]: Taking taylor expansion of re in re
0.356 * [backup-simplify]: Simplify 0 into 0
0.356 * [backup-simplify]: Simplify 1 into 1
0.356 * [backup-simplify]: Simplify (* 1 1) into 1
0.356 * [backup-simplify]: Simplify (/ 1 1) into 1
0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.356 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.356 * [taylor]: Taking taylor expansion of im in re
0.356 * [backup-simplify]: Simplify im into im
0.356 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.356 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.356 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.356 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.356 * [taylor]: Taking taylor expansion of re in re
0.356 * [backup-simplify]: Simplify 0 into 0
0.357 * [backup-simplify]: Simplify 1 into 1
0.357 * [backup-simplify]: Simplify (* 1 1) into 1
0.357 * [backup-simplify]: Simplify (/ 1 1) into 1
0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.357 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.357 * [taylor]: Taking taylor expansion of im in re
0.357 * [backup-simplify]: Simplify im into im
0.357 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.357 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.357 * [backup-simplify]: Simplify (+ 1 0) into 1
0.358 * [taylor]: Taking taylor expansion of 1 in im
0.358 * [backup-simplify]: Simplify 1 into 1
0.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.359 * [backup-simplify]: Simplify (+ 0 0) into 0
0.359 * [taylor]: Taking taylor expansion of 0 in im
0.359 * [backup-simplify]: Simplify 0 into 0
0.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.360 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.360 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.360 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.360 * [taylor]: Taking taylor expansion of im in im
0.360 * [backup-simplify]: Simplify 0 into 0
0.360 * [backup-simplify]: Simplify 1 into 1
0.360 * [backup-simplify]: Simplify (* 1 1) into 1
0.361 * [backup-simplify]: Simplify (/ 1 1) into 1
0.361 * [backup-simplify]: Simplify 1 into 1
0.361 * [backup-simplify]: Simplify 1 into 1
0.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.363 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.363 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.363 * [backup-simplify]: Simplify (+ 0 0) into 0
0.363 * [taylor]: Taking taylor expansion of 0 in im
0.363 * [backup-simplify]: Simplify 0 into 0
0.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.365 * [backup-simplify]: Simplify 0 into 0
0.365 * [backup-simplify]: Simplify 0 into 0
0.365 * [backup-simplify]: Simplify 0 into 0
0.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.368 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.368 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.368 * [backup-simplify]: Simplify (+ 0 0) into 0
0.368 * [taylor]: Taking taylor expansion of 0 in im
0.369 * [backup-simplify]: Simplify 0 into 0
0.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.373 * [backup-simplify]: Simplify 0 into 0
0.373 * [backup-simplify]: Simplify 0 into 0
0.373 * [backup-simplify]: Simplify 0 into 0
0.373 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow im 2) (pow re 2))
0.374 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))
0.374 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0
0.374 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.374 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.374 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.374 * [taylor]: Taking taylor expansion of re in im
0.374 * [backup-simplify]: Simplify re into re
0.374 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.374 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.374 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.374 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.374 * [taylor]: Taking taylor expansion of im in im
0.374 * [backup-simplify]: Simplify 0 into 0
0.374 * [backup-simplify]: Simplify 1 into 1
0.375 * [backup-simplify]: Simplify (* 1 1) into 1
0.375 * [backup-simplify]: Simplify (/ 1 1) into 1
0.375 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.375 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.375 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.375 * [taylor]: Taking taylor expansion of re in re
0.375 * [backup-simplify]: Simplify 0 into 0
0.375 * [backup-simplify]: Simplify 1 into 1
0.376 * [backup-simplify]: Simplify (* 1 1) into 1
0.376 * [backup-simplify]: Simplify (/ 1 1) into 1
0.376 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.376 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.376 * [taylor]: Taking taylor expansion of im in re
0.376 * [backup-simplify]: Simplify im into im
0.376 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.377 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.377 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.377 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.377 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.377 * [taylor]: Taking taylor expansion of re in re
0.377 * [backup-simplify]: Simplify 0 into 0
0.377 * [backup-simplify]: Simplify 1 into 1
0.377 * [backup-simplify]: Simplify (* 1 1) into 1
0.377 * [backup-simplify]: Simplify (/ 1 1) into 1
0.377 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.377 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.378 * [taylor]: Taking taylor expansion of im in re
0.378 * [backup-simplify]: Simplify im into im
0.378 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.378 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.378 * [backup-simplify]: Simplify (+ 1 0) into 1
0.378 * [taylor]: Taking taylor expansion of 1 in im
0.378 * [backup-simplify]: Simplify 1 into 1
0.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.380 * [backup-simplify]: Simplify (+ 0 0) into 0
0.380 * [taylor]: Taking taylor expansion of 0 in im
0.380 * [backup-simplify]: Simplify 0 into 0
0.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.382 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.382 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.382 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.382 * [taylor]: Taking taylor expansion of im in im
0.382 * [backup-simplify]: Simplify 0 into 0
0.382 * [backup-simplify]: Simplify 1 into 1
0.383 * [backup-simplify]: Simplify (* 1 1) into 1
0.383 * [backup-simplify]: Simplify (/ 1 1) into 1
0.383 * [backup-simplify]: Simplify 1 into 1
0.383 * [backup-simplify]: Simplify 1 into 1
0.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.385 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.386 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.386 * [backup-simplify]: Simplify (+ 0 0) into 0
0.386 * [taylor]: Taking taylor expansion of 0 in im
0.386 * [backup-simplify]: Simplify 0 into 0
0.387 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.388 * [backup-simplify]: Simplify 0 into 0
0.388 * [backup-simplify]: Simplify 0 into 0
0.388 * [backup-simplify]: Simplify 0 into 0
0.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.390 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.391 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.391 * [backup-simplify]: Simplify (+ 0 0) into 0
0.391 * [taylor]: Taking taylor expansion of 0 in im
0.391 * [backup-simplify]: Simplify 0 into 0
0.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.393 * [backup-simplify]: Simplify 0 into 0
0.393 * [backup-simplify]: Simplify 0 into 0
0.393 * [backup-simplify]: Simplify 0 into 0
0.393 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow im 2) (pow re 2))
0.394 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
0.394 * [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))))))
0.394 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in (re im) around 0
0.394 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in im
0.394 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.394 * [taylor]: Taking taylor expansion of 2.0 in im
0.394 * [backup-simplify]: Simplify 2.0 into 2.0
0.394 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.395 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.395 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im
0.396 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
0.396 * [taylor]: Taking taylor expansion of re in im
0.396 * [backup-simplify]: Simplify re into re
0.396 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.396 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.396 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.396 * [taylor]: Taking taylor expansion of im in im
0.396 * [backup-simplify]: Simplify 0 into 0
0.396 * [backup-simplify]: Simplify 1 into 1
0.396 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.396 * [taylor]: Taking taylor expansion of re in im
0.396 * [backup-simplify]: Simplify re into re
0.396 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.396 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.396 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.396 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.397 * [backup-simplify]: Simplify (+ 0 0) into 0
0.397 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.397 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
0.397 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re))
0.397 * [backup-simplify]: Simplify (+ 0 0) into 0
0.397 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
0.398 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re
0.398 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.398 * [taylor]: Taking taylor expansion of 2.0 in re
0.398 * [backup-simplify]: Simplify 2.0 into 2.0
0.398 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.399 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.399 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re
0.399 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.399 * [taylor]: Taking taylor expansion of re in re
0.399 * [backup-simplify]: Simplify 0 into 0
0.399 * [backup-simplify]: Simplify 1 into 1
0.399 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.399 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.399 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.399 * [taylor]: Taking taylor expansion of im in re
0.399 * [backup-simplify]: Simplify im into im
0.399 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.399 * [taylor]: Taking taylor expansion of re in re
0.399 * [backup-simplify]: Simplify 0 into 0
0.399 * [backup-simplify]: Simplify 1 into 1
0.399 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.399 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.400 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.400 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.400 * [backup-simplify]: Simplify (+ 0 0) into 0
0.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.400 * [backup-simplify]: Simplify (+ 0 im) into im
0.400 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.401 * [backup-simplify]: Simplify (+ 1 0) into 1
0.401 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.401 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re
0.401 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.401 * [taylor]: Taking taylor expansion of 2.0 in re
0.401 * [backup-simplify]: Simplify 2.0 into 2.0
0.401 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.402 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re
0.402 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.402 * [taylor]: Taking taylor expansion of re in re
0.402 * [backup-simplify]: Simplify 0 into 0
0.402 * [backup-simplify]: Simplify 1 into 1
0.402 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.402 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.402 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.402 * [taylor]: Taking taylor expansion of im in re
0.402 * [backup-simplify]: Simplify im into im
0.402 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.402 * [taylor]: Taking taylor expansion of re in re
0.402 * [backup-simplify]: Simplify 0 into 0
0.402 * [backup-simplify]: Simplify 1 into 1
0.403 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.403 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.403 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.403 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.403 * [backup-simplify]: Simplify (+ 0 0) into 0
0.403 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.404 * [backup-simplify]: Simplify (+ 0 im) into im
0.404 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.404 * [backup-simplify]: Simplify (+ 1 0) into 1
0.404 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.405 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
0.405 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
0.405 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.405 * [taylor]: Taking taylor expansion of 2.0 in im
0.405 * [backup-simplify]: Simplify 2.0 into 2.0
0.405 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.406 * [taylor]: Taking taylor expansion of (sqrt im) in im
0.406 * [taylor]: Taking taylor expansion of im in im
0.406 * [backup-simplify]: Simplify 0 into 0
0.406 * [backup-simplify]: Simplify 1 into 1
0.406 * [backup-simplify]: Simplify (sqrt 0) into 0
0.408 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.408 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.408 * [backup-simplify]: Simplify 0 into 0
0.409 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
0.409 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
0.409 * [taylor]: Taking taylor expansion of 1/2 in im
0.409 * [backup-simplify]: Simplify 1/2 into 1/2
0.409 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
0.409 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.409 * [taylor]: Taking taylor expansion of 2.0 in im
0.409 * [backup-simplify]: Simplify 2.0 into 2.0
0.409 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.410 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.410 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
0.410 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.410 * [taylor]: Taking taylor expansion of im in im
0.410 * [backup-simplify]: Simplify 0 into 0
0.410 * [backup-simplify]: Simplify 1 into 1
0.411 * [backup-simplify]: Simplify (/ 1 1) into 1
0.411 * [backup-simplify]: Simplify (sqrt 0) into 0
0.412 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.414 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.415 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.419 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.420 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.422 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.424 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.424 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.424 * [backup-simplify]: Simplify (* 1 1) into 1
0.425 * [backup-simplify]: Simplify (+ 0 1) into 1
0.426 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.426 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.426 * [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))))
0.427 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.428 * [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)))))
0.428 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
0.428 * [taylor]: Taking taylor expansion of 1/8 in im
0.428 * [backup-simplify]: Simplify 1/8 into 1/8
0.429 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
0.429 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.429 * [taylor]: Taking taylor expansion of 2.0 in im
0.429 * [backup-simplify]: Simplify 2.0 into 2.0
0.429 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.430 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.430 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
0.430 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
0.430 * [taylor]: Taking taylor expansion of (pow im 3) in im
0.430 * [taylor]: Taking taylor expansion of im in im
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 1) into 1
0.431 * [backup-simplify]: Simplify (/ 1 1) into 1
0.431 * [backup-simplify]: Simplify (sqrt 0) into 0
0.433 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.438 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.439 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.441 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.443 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.444 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.449 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.451 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.456 * [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)))))))
0.456 * [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)))))))
0.456 * [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
0.456 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im
0.456 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.456 * [taylor]: Taking taylor expansion of 2.0 in im
0.456 * [backup-simplify]: Simplify 2.0 into 2.0
0.457 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.457 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
0.457 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
0.457 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.457 * [taylor]: Taking taylor expansion of re in im
0.457 * [backup-simplify]: Simplify re into re
0.458 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.458 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.458 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.458 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.458 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.458 * [taylor]: Taking taylor expansion of re in im
0.458 * [backup-simplify]: Simplify re into re
0.458 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.458 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.458 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.458 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.458 * [taylor]: Taking taylor expansion of im in im
0.458 * [backup-simplify]: Simplify 0 into 0
0.458 * [backup-simplify]: Simplify 1 into 1
0.459 * [backup-simplify]: Simplify (* 1 1) into 1
0.459 * [backup-simplify]: Simplify (/ 1 1) into 1
0.459 * [backup-simplify]: Simplify (+ 0 1) into 1
0.460 * [backup-simplify]: Simplify (sqrt 1) into 1
0.460 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.461 * [backup-simplify]: Simplify (+ 0 0) into 0
0.462 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.463 * [backup-simplify]: Simplify (+ 0 1) into 1
0.463 * [backup-simplify]: Simplify (sqrt 0) into 0
0.464 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.464 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re
0.465 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.465 * [taylor]: Taking taylor expansion of 2.0 in re
0.465 * [backup-simplify]: Simplify 2.0 into 2.0
0.465 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.466 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
0.466 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.466 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.466 * [taylor]: Taking taylor expansion of re in re
0.466 * [backup-simplify]: Simplify 0 into 0
0.466 * [backup-simplify]: Simplify 1 into 1
0.466 * [backup-simplify]: Simplify (/ 1 1) into 1
0.466 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.466 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.466 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.466 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.466 * [taylor]: Taking taylor expansion of re in re
0.466 * [backup-simplify]: Simplify 0 into 0
0.466 * [backup-simplify]: Simplify 1 into 1
0.467 * [backup-simplify]: Simplify (* 1 1) into 1
0.467 * [backup-simplify]: Simplify (/ 1 1) into 1
0.467 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.467 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.467 * [taylor]: Taking taylor expansion of im in re
0.467 * [backup-simplify]: Simplify im into im
0.467 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.467 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.468 * [backup-simplify]: Simplify (+ 1 0) into 1
0.468 * [backup-simplify]: Simplify (sqrt 1) into 1
0.469 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.470 * [backup-simplify]: Simplify (+ 0 0) into 0
0.471 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.471 * [backup-simplify]: Simplify (+ 1 1) into 2
0.471 * [backup-simplify]: Simplify (sqrt 0) into 0
0.472 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.473 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re
0.473 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.473 * [taylor]: Taking taylor expansion of 2.0 in re
0.473 * [backup-simplify]: Simplify 2.0 into 2.0
0.473 * [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 (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
0.474 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.474 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.474 * [taylor]: Taking taylor expansion of re in re
0.474 * [backup-simplify]: Simplify 0 into 0
0.474 * [backup-simplify]: Simplify 1 into 1
0.474 * [backup-simplify]: Simplify (/ 1 1) into 1
0.474 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.474 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.474 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.474 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.475 * [taylor]: Taking taylor expansion of re in re
0.475 * [backup-simplify]: Simplify 0 into 0
0.475 * [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 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.475 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.475 * [taylor]: Taking taylor expansion of im in re
0.475 * [backup-simplify]: Simplify im into im
0.476 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.476 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.476 * [backup-simplify]: Simplify (+ 1 0) into 1
0.477 * [backup-simplify]: Simplify (sqrt 1) into 1
0.477 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.478 * [backup-simplify]: Simplify (+ 0 0) into 0
0.479 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.479 * [backup-simplify]: Simplify (+ 1 1) into 2
0.480 * [backup-simplify]: Simplify (sqrt 0) into 0
0.481 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.481 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.481 * [taylor]: Taking taylor expansion of 0 in im
0.481 * [backup-simplify]: Simplify 0 into 0
0.483 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.484 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.484 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.484 * [taylor]: Taking taylor expansion of +nan.0 in im
0.484 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.484 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.484 * [taylor]: Taking taylor expansion of 2.0 in im
0.484 * [backup-simplify]: Simplify 2.0 into 2.0
0.484 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.485 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.485 * [backup-simplify]: Simplify 0 into 0
0.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.486 * [backup-simplify]: Simplify (+ 0 0) into 0
0.489 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.490 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.493 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.493 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.493 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.493 * [taylor]: Taking taylor expansion of +nan.0 in im
0.493 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.493 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.493 * [taylor]: Taking taylor expansion of 2.0 in im
0.493 * [backup-simplify]: Simplify 2.0 into 2.0
0.493 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.494 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.495 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.496 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.498 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.498 * [backup-simplify]: Simplify 0 into 0
0.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 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 1)) (* 0 (/ 0 1)))) into 0
0.501 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.502 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.502 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.504 * [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))
0.505 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.507 * [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))))))
0.507 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
0.507 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
0.507 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.507 * [taylor]: Taking taylor expansion of +nan.0 in im
0.507 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.507 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.507 * [taylor]: Taking taylor expansion of 2.0 in im
0.507 * [backup-simplify]: Simplify 2.0 into 2.0
0.508 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.508 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.508 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.508 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.508 * [taylor]: Taking taylor expansion of +nan.0 in im
0.508 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.508 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.508 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.508 * [taylor]: Taking taylor expansion of 2.0 in im
0.508 * [backup-simplify]: Simplify 2.0 into 2.0
0.509 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.509 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.509 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.509 * [taylor]: Taking taylor expansion of im in im
0.509 * [backup-simplify]: Simplify 0 into 0
0.509 * [backup-simplify]: Simplify 1 into 1
0.509 * [backup-simplify]: Simplify (* 1 1) into 1
0.510 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.511 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.511 * [backup-simplify]: Simplify (- 0) into 0
0.512 * [backup-simplify]: Simplify (+ 0 0) into 0
0.512 * [backup-simplify]: Simplify (- 0) into 0
0.512 * [backup-simplify]: Simplify 0 into 0
0.514 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.515 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.516 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.517 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.517 * [backup-simplify]: Simplify (- 0) into 0
0.517 * [backup-simplify]: Simplify 0 into 0
0.517 * [backup-simplify]: Simplify 0 into 0
0.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.519 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.519 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.519 * [backup-simplify]: Simplify (+ 0 0) into 0
0.519 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.520 * [backup-simplify]: Simplify (+ 0 0) into 0
0.521 * [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)))
0.521 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.523 * [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))))))
0.523 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
0.523 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
0.523 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.523 * [taylor]: Taking taylor expansion of +nan.0 in im
0.523 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.523 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.523 * [taylor]: Taking taylor expansion of 2.0 in im
0.523 * [backup-simplify]: Simplify 2.0 into 2.0
0.523 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.523 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.523 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.523 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.523 * [taylor]: Taking taylor expansion of +nan.0 in im
0.523 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.523 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.524 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.524 * [taylor]: Taking taylor expansion of 2.0 in im
0.524 * [backup-simplify]: Simplify 2.0 into 2.0
0.524 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.524 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.524 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.524 * [taylor]: Taking taylor expansion of im in im
0.524 * [backup-simplify]: Simplify 0 into 0
0.524 * [backup-simplify]: Simplify 1 into 1
0.525 * [backup-simplify]: Simplify (* 1 1) into 1
0.525 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.525 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.526 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.527 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.527 * [backup-simplify]: Simplify (- 0) into 0
0.527 * [backup-simplify]: Simplify (+ 0 0) into 0
0.527 * [backup-simplify]: Simplify (- 0) into 0
0.527 * [backup-simplify]: Simplify 0 into 0
0.528 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.528 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.530 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.530 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.531 * [backup-simplify]: Simplify (- 0) into 0
0.532 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
0.533 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.534 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.537 * [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))))))))
0.537 * [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))))
0.537 * [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
0.537 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im
0.537 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.538 * [taylor]: Taking taylor expansion of 2.0 in im
0.538 * [backup-simplify]: Simplify 2.0 into 2.0
0.538 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.538 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.538 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im
0.538 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
0.538 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.538 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.538 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.538 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.538 * [taylor]: Taking taylor expansion of re in im
0.538 * [backup-simplify]: Simplify re into re
0.538 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.539 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.539 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.539 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.539 * [taylor]: Taking taylor expansion of im in im
0.539 * [backup-simplify]: Simplify 0 into 0
0.539 * [backup-simplify]: Simplify 1 into 1
0.539 * [backup-simplify]: Simplify (* 1 1) into 1
0.539 * [backup-simplify]: Simplify (/ 1 1) into 1
0.539 * [backup-simplify]: Simplify (+ 0 1) into 1
0.540 * [backup-simplify]: Simplify (sqrt 1) into 1
0.540 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.541 * [backup-simplify]: Simplify (+ 0 0) into 0
0.542 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.542 * [taylor]: Taking taylor expansion of (/ 1 re) 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 (/ 1 re) into (/ 1 re)
0.543 * [backup-simplify]: Simplify (+ 1 0) into 1
0.543 * [backup-simplify]: Simplify (sqrt 0) into 0
0.545 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.545 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re
0.545 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.545 * [taylor]: Taking taylor expansion of 2.0 in re
0.545 * [backup-simplify]: Simplify 2.0 into 2.0
0.545 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.546 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.546 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
0.546 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.546 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.546 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.546 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.546 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.546 * [taylor]: Taking taylor expansion of re in re
0.546 * [backup-simplify]: Simplify 0 into 0
0.546 * [backup-simplify]: Simplify 1 into 1
0.547 * [backup-simplify]: Simplify (* 1 1) into 1
0.547 * [backup-simplify]: Simplify (/ 1 1) into 1
0.547 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.547 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.547 * [taylor]: Taking taylor expansion of im in re
0.547 * [backup-simplify]: Simplify im into im
0.547 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.547 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.548 * [backup-simplify]: Simplify (+ 1 0) into 1
0.548 * [backup-simplify]: Simplify (sqrt 1) into 1
0.549 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.550 * [backup-simplify]: Simplify (+ 0 0) into 0
0.551 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.551 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.551 * [taylor]: Taking taylor expansion of re in re
0.551 * [backup-simplify]: Simplify 0 into 0
0.551 * [backup-simplify]: Simplify 1 into 1
0.551 * [backup-simplify]: Simplify (/ 1 1) into 1
0.551 * [backup-simplify]: Simplify (- 1) into -1
0.552 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.553 * [backup-simplify]: Simplify (- 0) into 0
0.553 * [backup-simplify]: Simplify (+ 0 0) into 0
0.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.555 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.556 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.558 * [backup-simplify]: Simplify (- 0) into 0
0.558 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.558 * [backup-simplify]: Simplify (sqrt 0) into 0
0.559 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.559 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re
0.559 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.559 * [taylor]: Taking taylor expansion of 2.0 in re
0.559 * [backup-simplify]: Simplify 2.0 into 2.0
0.560 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.560 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.560 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
0.560 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.560 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.560 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.560 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.561 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.561 * [taylor]: Taking taylor expansion of re in re
0.561 * [backup-simplify]: Simplify 0 into 0
0.561 * [backup-simplify]: Simplify 1 into 1
0.561 * [backup-simplify]: Simplify (* 1 1) into 1
0.561 * [backup-simplify]: Simplify (/ 1 1) into 1
0.561 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.561 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.561 * [taylor]: Taking taylor expansion of im in re
0.561 * [backup-simplify]: Simplify im into im
0.562 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.562 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.562 * [backup-simplify]: Simplify (+ 1 0) into 1
0.563 * [backup-simplify]: Simplify (sqrt 1) into 1
0.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.564 * [backup-simplify]: Simplify (+ 0 0) into 0
0.565 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.565 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.565 * [taylor]: Taking taylor expansion of re in re
0.565 * [backup-simplify]: Simplify 0 into 0
0.565 * [backup-simplify]: Simplify 1 into 1
0.565 * [backup-simplify]: Simplify (/ 1 1) into 1
0.566 * [backup-simplify]: Simplify (- 1) into -1
0.566 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.567 * [backup-simplify]: Simplify (- 0) into 0
0.568 * [backup-simplify]: Simplify (+ 0 0) into 0
0.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.570 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.571 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.572 * [backup-simplify]: Simplify (- 0) into 0
0.572 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.573 * [backup-simplify]: Simplify (sqrt 0) into 0
0.573 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.574 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.574 * [taylor]: Taking taylor expansion of 0 in im
0.574 * [backup-simplify]: Simplify 0 into 0
0.575 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
0.575 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.575 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.575 * [taylor]: Taking taylor expansion of +nan.0 in im
0.575 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.575 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.575 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.575 * [taylor]: Taking taylor expansion of 2.0 in im
0.575 * [backup-simplify]: Simplify 2.0 into 2.0
0.576 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.576 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.576 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.576 * [taylor]: Taking taylor expansion of im in im
0.576 * [backup-simplify]: Simplify 0 into 0
0.576 * [backup-simplify]: Simplify 1 into 1
0.577 * [backup-simplify]: Simplify (* 1 1) into 1
0.578 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.578 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.579 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.580 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.580 * [backup-simplify]: Simplify (- 0) into 0
0.581 * [backup-simplify]: Simplify 0 into 0
0.581 * [backup-simplify]: Simplify 0 into 0
0.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.583 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.583 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.583 * [backup-simplify]: Simplify (+ 0 0) into 0
0.584 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.585 * [backup-simplify]: Simplify (- 0) into 0
0.586 * [backup-simplify]: Simplify (+ 0 0) into 0
0.587 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
0.588 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.589 * [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))))
0.589 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
0.589 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.589 * [taylor]: Taking taylor expansion of +nan.0 in im
0.589 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.589 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.589 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.589 * [taylor]: Taking taylor expansion of 2.0 in im
0.589 * [backup-simplify]: Simplify 2.0 into 2.0
0.589 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.590 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.590 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.590 * [taylor]: Taking taylor expansion of im in im
0.590 * [backup-simplify]: Simplify 0 into 0
0.590 * [backup-simplify]: Simplify 1 into 1
0.591 * [backup-simplify]: Simplify (* 1 1) into 1
0.591 * [backup-simplify]: Simplify (* 1 1) into 1
0.592 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.593 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.594 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.596 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.602 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.603 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.604 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.605 * [backup-simplify]: Simplify (- 0) into 0
0.605 * [backup-simplify]: Simplify 0 into 0
0.606 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.608 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.609 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.609 * [backup-simplify]: Simplify (- 0) into 0
0.610 * [backup-simplify]: Simplify 0 into 0
0.610 * [backup-simplify]: Simplify 0 into 0
0.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.612 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.612 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.613 * [backup-simplify]: Simplify (+ 0 0) into 0
0.613 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
0.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.614 * [backup-simplify]: Simplify (- 0) into 0
0.614 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
0.615 * [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)))))
0.616 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.617 * [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))))))
0.617 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
0.617 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
0.617 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.617 * [taylor]: Taking taylor expansion of +nan.0 in im
0.617 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.617 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.617 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.617 * [taylor]: Taking taylor expansion of 2.0 in im
0.617 * [backup-simplify]: Simplify 2.0 into 2.0
0.617 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.617 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.617 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.617 * [taylor]: Taking taylor expansion of im in im
0.617 * [backup-simplify]: Simplify 0 into 0
0.618 * [backup-simplify]: Simplify 1 into 1
0.618 * [backup-simplify]: Simplify (* 1 1) into 1
0.618 * [backup-simplify]: Simplify (* 1 1) into 1
0.619 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.619 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
0.619 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
0.619 * [taylor]: Taking taylor expansion of +nan.0 in im
0.619 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.619 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
0.619 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.619 * [taylor]: Taking taylor expansion of 2.0 in im
0.619 * [backup-simplify]: Simplify 2.0 into 2.0
0.619 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.619 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.619 * [taylor]: Taking taylor expansion of (pow im 6) in im
0.619 * [taylor]: Taking taylor expansion of im in im
0.619 * [backup-simplify]: Simplify 0 into 0
0.619 * [backup-simplify]: Simplify 1 into 1
0.620 * [backup-simplify]: Simplify (* 1 1) into 1
0.620 * [backup-simplify]: Simplify (* 1 1) into 1
0.620 * [backup-simplify]: Simplify (* 1 1) into 1
0.621 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.621 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.622 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.623 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.624 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.625 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.626 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.627 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.629 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.630 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.631 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.631 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.632 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.635 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.635 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.636 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.639 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.639 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.641 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.642 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.643 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.644 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.645 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
0.646 * [backup-simplify]: Simplify (- 0) into 0
0.646 * [backup-simplify]: Simplify (+ 0 0) into 0
0.646 * [backup-simplify]: Simplify (- 0) into 0
0.646 * [backup-simplify]: Simplify 0 into 0
0.647 * [backup-simplify]: Simplify 0 into 0
0.647 * * * [progress]: simplifying candidates
0.648 * [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)
  (* (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))
  (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))))
  im
  re
  (* -1 re)
  (+ re im)
  (* 2 re)
  0
  (+ (pow im 2) (pow re 2))
  (+ (pow im 2) (pow re 2))
  (+ (pow im 2) (pow re 2))
  (- (+ (* +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
0.651 * * [simplify]: iteration 0: 108 enodes
0.687 * * [simplify]: iteration 1: 291 enodes
0.840 * * [simplify]: iteration 2: 1381 enodes
1.315 * * [simplify]: iteration complete: 5001 enodes
1.316 * * [simplify]: Extracting #0: cost 55 inf + 0
1.316 * * [simplify]: Extracting #1: cost 403 inf + 46
1.321 * * [simplify]: Extracting #2: cost 1666 inf + 6142
1.351 * * [simplify]: Extracting #3: cost 1544 inf + 100732
1.453 * * [simplify]: Extracting #4: cost 273 inf + 323335
1.552 * * [simplify]: Extracting #5: cost 56 inf + 375649
1.672 * * [simplify]: Extracting #6: cost 8 inf + 384750
1.765 * * [simplify]: Extracting #7: cost 0 inf + 387094
1.876 * [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 (+ (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 (sqrt (+ (* im im) (* re re))))) (+ (* im im) (* re re)))
  (+ (* im im) 0)
  (- (sqrt (+ (* im im) (* re re))) re)
  (+ (sqrt (+ (* im im) (* re re))) re)
  (exp (+ (* im im) (* re re)))
  (log (+ (* im im) (* re re)))
  (exp (+ (* im im) (* re re)))
  (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (* im im) (* re re))))
  (cbrt (+ (* im im) (* re re)))
  (* (* (+ (* im im) (* re re)) (+ (* im im) (* re re))) (+ (* im im) (* re re)))
  (sqrt (+ (* im im) (* re re)))
  (sqrt (+ (* im im) (* re re)))
  (+ (* (* (* re re) (* re re)) (* re re)) (* (* im im) (* (* im im) (* im im))))
  (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re)))
  (* (+ (* re re) (* im im)) (- (* re re) (* im im)))
  (* (+ re im) (- re im))
  (log (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re))))
  (exp (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re))))
  (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))))
  (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re))))
  (* (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)) (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re))))
  (sqrt 2.0)
  (sqrt (+ (sqrt (+ (* im im) (* re re))) re))
  (sqrt (* 2.0 (+ (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* (* re re) re))))
  (sqrt (+ (* re (- re (sqrt (+ (* im im) (* re re))))) (+ (* im im) (* re re))))
  (sqrt (* 2.0 (+ (* im im) 0)))
  (sqrt (- (sqrt (+ (* im im) (* re re))) re))
  1/2
  1/2
  (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re))))
  (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re))))
  im
  re
  (- re)
  (+ re im)
  (* 2 re)
  0
  (+ (* im im) (* re re))
  (+ (* im im) (* re re))
  (+ (* im im) (* re re))
  (+ (- (* +nan.0 (* (* re re) (sqrt 2.0)))) (* (* +nan.0 (sqrt 2.0)) (- im re)))
  (+ (* +nan.0 (- (/ (sqrt 2.0) re) (/ (sqrt 2.0) (* re re)))) (- (* +nan.0 (sqrt 2.0))))
  0
1.885 * * * [progress]: adding candidates to table
2.311 * * [progress]: iteration 2 / 4
2.311 * * * [progress]: picking best candidate
2.370 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))>
2.370 * * * [progress]: localizing error
2.415 * * * [progress]: generating rewritten candidates
2.416 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1 2 1)
2.426 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 2 1)
2.432 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1 2)
2.459 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 2)
2.488 * * * [progress]: generating series expansions
2.488 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1 2 1)
2.488 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
2.488 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
2.488 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
2.489 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
2.489 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.489 * [taylor]: Taking taylor expansion of im in im
2.489 * [backup-simplify]: Simplify 0 into 0
2.489 * [backup-simplify]: Simplify 1 into 1
2.489 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.489 * [taylor]: Taking taylor expansion of re in im
2.489 * [backup-simplify]: Simplify re into re
2.489 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.489 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
2.489 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.489 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.489 * [backup-simplify]: Simplify (+ 0 0) into 0
2.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.490 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.490 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.490 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.490 * [taylor]: Taking taylor expansion of im in re
2.490 * [backup-simplify]: Simplify im into im
2.490 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.490 * [taylor]: Taking taylor expansion of re in re
2.490 * [backup-simplify]: Simplify 0 into 0
2.490 * [backup-simplify]: Simplify 1 into 1
2.490 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.490 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.490 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.490 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.490 * [backup-simplify]: Simplify (+ 0 0) into 0
2.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.490 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.490 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.490 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.490 * [taylor]: Taking taylor expansion of im in re
2.490 * [backup-simplify]: Simplify im into im
2.490 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.490 * [taylor]: Taking taylor expansion of re in re
2.490 * [backup-simplify]: Simplify 0 into 0
2.490 * [backup-simplify]: Simplify 1 into 1
2.491 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.491 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.491 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.491 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.491 * [backup-simplify]: Simplify (+ 0 0) into 0
2.491 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.491 * [taylor]: Taking taylor expansion of im in im
2.491 * [backup-simplify]: Simplify 0 into 0
2.491 * [backup-simplify]: Simplify 1 into 1
2.491 * [backup-simplify]: Simplify 0 into 0
2.491 * [taylor]: Taking taylor expansion of 0 in im
2.491 * [backup-simplify]: Simplify 0 into 0
2.491 * [backup-simplify]: Simplify 0 into 0
2.491 * [backup-simplify]: Simplify 1 into 1
2.492 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.494 * [backup-simplify]: Simplify (* 1 1) into 1
2.494 * [backup-simplify]: Simplify (+ 0 1) into 1
2.495 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.495 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
2.495 * [taylor]: Taking taylor expansion of 1/2 in im
2.495 * [backup-simplify]: Simplify 1/2 into 1/2
2.495 * [taylor]: Taking taylor expansion of im in im
2.495 * [backup-simplify]: Simplify 0 into 0
2.495 * [backup-simplify]: Simplify 1 into 1
2.495 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.495 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.495 * [backup-simplify]: Simplify 0 into 0
2.496 * [backup-simplify]: Simplify 0 into 0
2.496 * [backup-simplify]: Simplify 0 into 0
2.496 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.497 * [backup-simplify]: Simplify (+ 0 0) into 0
2.497 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.497 * [taylor]: Taking taylor expansion of 0 in im
2.497 * [backup-simplify]: Simplify 0 into 0
2.497 * [backup-simplify]: Simplify 0 into 0
2.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.497 * [backup-simplify]: Simplify 0 into 0
2.498 * [backup-simplify]: Simplify 0 into 0
2.498 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
2.498 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
2.498 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
2.498 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.498 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.498 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.498 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.498 * [taylor]: Taking taylor expansion of re in im
2.498 * [backup-simplify]: Simplify re into re
2.498 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.498 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.498 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.498 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.498 * [taylor]: Taking taylor expansion of im in im
2.498 * [backup-simplify]: Simplify 0 into 0
2.498 * [backup-simplify]: Simplify 1 into 1
2.498 * [backup-simplify]: Simplify (* 1 1) into 1
2.499 * [backup-simplify]: Simplify (/ 1 1) into 1
2.499 * [backup-simplify]: Simplify (+ 0 1) into 1
2.499 * [backup-simplify]: Simplify (sqrt 1) into 1
2.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.500 * [backup-simplify]: Simplify (+ 0 0) into 0
2.500 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.501 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.501 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.501 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.501 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.501 * [taylor]: Taking taylor expansion of re in re
2.501 * [backup-simplify]: Simplify 0 into 0
2.501 * [backup-simplify]: Simplify 1 into 1
2.501 * [backup-simplify]: Simplify (* 1 1) into 1
2.501 * [backup-simplify]: Simplify (/ 1 1) into 1
2.501 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.501 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.501 * [taylor]: Taking taylor expansion of im in re
2.501 * [backup-simplify]: Simplify im into im
2.501 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.501 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.502 * [backup-simplify]: Simplify (+ 1 0) into 1
2.502 * [backup-simplify]: Simplify (sqrt 1) into 1
2.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.503 * [backup-simplify]: Simplify (+ 0 0) into 0
2.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.503 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.503 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.503 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.503 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.503 * [taylor]: Taking taylor expansion of re in re
2.503 * [backup-simplify]: Simplify 0 into 0
2.503 * [backup-simplify]: Simplify 1 into 1
2.504 * [backup-simplify]: Simplify (* 1 1) into 1
2.504 * [backup-simplify]: Simplify (/ 1 1) into 1
2.504 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.504 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.504 * [taylor]: Taking taylor expansion of im in re
2.504 * [backup-simplify]: Simplify im into im
2.504 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.504 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.504 * [backup-simplify]: Simplify (+ 1 0) into 1
2.505 * [backup-simplify]: Simplify (sqrt 1) into 1
2.505 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.506 * [backup-simplify]: Simplify (+ 0 0) into 0
2.506 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.506 * [taylor]: Taking taylor expansion of 1 in im
2.506 * [backup-simplify]: Simplify 1 into 1
2.506 * [taylor]: Taking taylor expansion of 0 in im
2.506 * [backup-simplify]: Simplify 0 into 0
2.506 * [backup-simplify]: Simplify 1 into 1
2.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.507 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.508 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.508 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.508 * [taylor]: Taking taylor expansion of 1/2 in im
2.508 * [backup-simplify]: Simplify 1/2 into 1/2
2.508 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.508 * [taylor]: Taking taylor expansion of im in im
2.508 * [backup-simplify]: Simplify 0 into 0
2.508 * [backup-simplify]: Simplify 1 into 1
2.509 * [backup-simplify]: Simplify (* 1 1) into 1
2.509 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.510 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.510 * [backup-simplify]: Simplify 0 into 0
2.510 * [backup-simplify]: Simplify 0 into 0
2.510 * [backup-simplify]: Simplify 0 into 0
2.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.511 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.511 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.511 * [backup-simplify]: Simplify (+ 0 0) into 0
2.512 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.512 * [taylor]: Taking taylor expansion of 0 in im
2.512 * [backup-simplify]: Simplify 0 into 0
2.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.513 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.513 * [backup-simplify]: Simplify 0 into 0
2.513 * [backup-simplify]: Simplify 0 into 0
2.513 * [backup-simplify]: Simplify 0 into 0
2.513 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
2.513 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
2.513 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
2.513 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.513 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.513 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.513 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.513 * [taylor]: Taking taylor expansion of re in im
2.513 * [backup-simplify]: Simplify re into re
2.514 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.514 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.514 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.514 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.514 * [taylor]: Taking taylor expansion of im in im
2.514 * [backup-simplify]: Simplify 0 into 0
2.514 * [backup-simplify]: Simplify 1 into 1
2.514 * [backup-simplify]: Simplify (* 1 1) into 1
2.514 * [backup-simplify]: Simplify (/ 1 1) into 1
2.514 * [backup-simplify]: Simplify (+ 0 1) into 1
2.515 * [backup-simplify]: Simplify (sqrt 1) into 1
2.515 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.516 * [backup-simplify]: Simplify (+ 0 0) into 0
2.516 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.516 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.516 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.516 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.516 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.516 * [taylor]: Taking taylor expansion of re in re
2.516 * [backup-simplify]: Simplify 0 into 0
2.516 * [backup-simplify]: Simplify 1 into 1
2.516 * [backup-simplify]: Simplify (* 1 1) into 1
2.517 * [backup-simplify]: Simplify (/ 1 1) into 1
2.517 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.517 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.517 * [taylor]: Taking taylor expansion of im in re
2.517 * [backup-simplify]: Simplify im into im
2.517 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.517 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.517 * [backup-simplify]: Simplify (+ 1 0) into 1
2.518 * [backup-simplify]: Simplify (sqrt 1) into 1
2.518 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.519 * [backup-simplify]: Simplify (+ 0 0) into 0
2.519 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.519 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.519 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.519 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.519 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.519 * [taylor]: Taking taylor expansion of re in re
2.519 * [backup-simplify]: Simplify 0 into 0
2.519 * [backup-simplify]: Simplify 1 into 1
2.519 * [backup-simplify]: Simplify (* 1 1) into 1
2.520 * [backup-simplify]: Simplify (/ 1 1) into 1
2.520 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.520 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.520 * [taylor]: Taking taylor expansion of im in re
2.520 * [backup-simplify]: Simplify im into im
2.520 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.520 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.520 * [backup-simplify]: Simplify (+ 1 0) into 1
2.520 * [backup-simplify]: Simplify (sqrt 1) into 1
2.521 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.521 * [backup-simplify]: Simplify (+ 0 0) into 0
2.522 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.522 * [taylor]: Taking taylor expansion of 1 in im
2.522 * [backup-simplify]: Simplify 1 into 1
2.522 * [taylor]: Taking taylor expansion of 0 in im
2.522 * [backup-simplify]: Simplify 0 into 0
2.522 * [backup-simplify]: Simplify 1 into 1
2.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.523 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.524 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.524 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.524 * [taylor]: Taking taylor expansion of 1/2 in im
2.524 * [backup-simplify]: Simplify 1/2 into 1/2
2.524 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.524 * [taylor]: Taking taylor expansion of im in im
2.524 * [backup-simplify]: Simplify 0 into 0
2.524 * [backup-simplify]: Simplify 1 into 1
2.524 * [backup-simplify]: Simplify (* 1 1) into 1
2.525 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.525 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.526 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.526 * [backup-simplify]: Simplify 0 into 0
2.526 * [backup-simplify]: Simplify 0 into 0
2.526 * [backup-simplify]: Simplify 0 into 0
2.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.527 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.527 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.527 * [backup-simplify]: Simplify (+ 0 0) into 0
2.528 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.528 * [taylor]: Taking taylor expansion of 0 in im
2.528 * [backup-simplify]: Simplify 0 into 0
2.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.529 * [backup-simplify]: Simplify 0 into 0
2.529 * [backup-simplify]: Simplify 0 into 0
2.529 * [backup-simplify]: Simplify 0 into 0
2.529 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
2.529 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 2 1)
2.529 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
2.529 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
2.529 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
2.529 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
2.529 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.529 * [taylor]: Taking taylor expansion of im in im
2.529 * [backup-simplify]: Simplify 0 into 0
2.529 * [backup-simplify]: Simplify 1 into 1
2.529 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.529 * [taylor]: Taking taylor expansion of re in im
2.529 * [backup-simplify]: Simplify re into re
2.529 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.529 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
2.530 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.530 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.530 * [backup-simplify]: Simplify (+ 0 0) into 0
2.530 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.530 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.530 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.530 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.530 * [taylor]: Taking taylor expansion of im in re
2.530 * [backup-simplify]: Simplify im into im
2.530 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.530 * [taylor]: Taking taylor expansion of re in re
2.530 * [backup-simplify]: Simplify 0 into 0
2.530 * [backup-simplify]: Simplify 1 into 1
2.530 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.530 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.530 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.530 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.531 * [backup-simplify]: Simplify (+ 0 0) into 0
2.531 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.531 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.531 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.531 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.531 * [taylor]: Taking taylor expansion of im in re
2.531 * [backup-simplify]: Simplify im into im
2.531 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.531 * [taylor]: Taking taylor expansion of re in re
2.531 * [backup-simplify]: Simplify 0 into 0
2.531 * [backup-simplify]: Simplify 1 into 1
2.531 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.531 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.531 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.531 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.531 * [backup-simplify]: Simplify (+ 0 0) into 0
2.531 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.532 * [taylor]: Taking taylor expansion of im in im
2.532 * [backup-simplify]: Simplify 0 into 0
2.532 * [backup-simplify]: Simplify 1 into 1
2.532 * [backup-simplify]: Simplify 0 into 0
2.532 * [taylor]: Taking taylor expansion of 0 in im
2.532 * [backup-simplify]: Simplify 0 into 0
2.532 * [backup-simplify]: Simplify 0 into 0
2.532 * [backup-simplify]: Simplify 1 into 1
2.532 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.532 * [backup-simplify]: Simplify (* 1 1) into 1
2.532 * [backup-simplify]: Simplify (+ 0 1) into 1
2.533 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.533 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
2.533 * [taylor]: Taking taylor expansion of 1/2 in im
2.533 * [backup-simplify]: Simplify 1/2 into 1/2
2.533 * [taylor]: Taking taylor expansion of im in im
2.533 * [backup-simplify]: Simplify 0 into 0
2.533 * [backup-simplify]: Simplify 1 into 1
2.533 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.534 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.534 * [backup-simplify]: Simplify 0 into 0
2.534 * [backup-simplify]: Simplify 0 into 0
2.534 * [backup-simplify]: Simplify 0 into 0
2.534 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.535 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.535 * [backup-simplify]: Simplify (+ 0 0) into 0
2.535 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.535 * [taylor]: Taking taylor expansion of 0 in im
2.535 * [backup-simplify]: Simplify 0 into 0
2.535 * [backup-simplify]: Simplify 0 into 0
2.536 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.536 * [backup-simplify]: Simplify 0 into 0
2.536 * [backup-simplify]: Simplify 0 into 0
2.536 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
2.536 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
2.536 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
2.536 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.536 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.536 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.536 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.536 * [taylor]: Taking taylor expansion of re in im
2.536 * [backup-simplify]: Simplify re into re
2.536 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.536 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.536 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.536 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.536 * [taylor]: Taking taylor expansion of im in im
2.536 * [backup-simplify]: Simplify 0 into 0
2.536 * [backup-simplify]: Simplify 1 into 1
2.537 * [backup-simplify]: Simplify (* 1 1) into 1
2.537 * [backup-simplify]: Simplify (/ 1 1) into 1
2.537 * [backup-simplify]: Simplify (+ 0 1) into 1
2.537 * [backup-simplify]: Simplify (sqrt 1) into 1
2.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.538 * [backup-simplify]: Simplify (+ 0 0) into 0
2.539 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.539 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.539 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.539 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.539 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.539 * [taylor]: Taking taylor expansion of re in re
2.539 * [backup-simplify]: Simplify 0 into 0
2.539 * [backup-simplify]: Simplify 1 into 1
2.539 * [backup-simplify]: Simplify (* 1 1) into 1
2.539 * [backup-simplify]: Simplify (/ 1 1) into 1
2.539 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.539 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.540 * [taylor]: Taking taylor expansion of im in re
2.540 * [backup-simplify]: Simplify im into im
2.540 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.540 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.540 * [backup-simplify]: Simplify (+ 1 0) into 1
2.540 * [backup-simplify]: Simplify (sqrt 1) into 1
2.541 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.541 * [backup-simplify]: Simplify (+ 0 0) into 0
2.542 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.542 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.542 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.542 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.542 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.542 * [taylor]: Taking taylor expansion of re in re
2.542 * [backup-simplify]: Simplify 0 into 0
2.542 * [backup-simplify]: Simplify 1 into 1
2.542 * [backup-simplify]: Simplify (* 1 1) into 1
2.542 * [backup-simplify]: Simplify (/ 1 1) into 1
2.542 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.542 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.542 * [taylor]: Taking taylor expansion of im in re
2.542 * [backup-simplify]: Simplify im into im
2.542 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.542 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.543 * [backup-simplify]: Simplify (+ 1 0) into 1
2.543 * [backup-simplify]: Simplify (sqrt 1) into 1
2.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.544 * [backup-simplify]: Simplify (+ 0 0) into 0
2.544 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.545 * [taylor]: Taking taylor expansion of 1 in im
2.545 * [backup-simplify]: Simplify 1 into 1
2.545 * [taylor]: Taking taylor expansion of 0 in im
2.545 * [backup-simplify]: Simplify 0 into 0
2.545 * [backup-simplify]: Simplify 1 into 1
2.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.546 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.547 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.547 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.547 * [taylor]: Taking taylor expansion of 1/2 in im
2.547 * [backup-simplify]: Simplify 1/2 into 1/2
2.547 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.547 * [taylor]: Taking taylor expansion of im in im
2.547 * [backup-simplify]: Simplify 0 into 0
2.547 * [backup-simplify]: Simplify 1 into 1
2.547 * [backup-simplify]: Simplify (* 1 1) into 1
2.547 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.548 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.548 * [backup-simplify]: Simplify 0 into 0
2.548 * [backup-simplify]: Simplify 0 into 0
2.549 * [backup-simplify]: Simplify 0 into 0
2.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.551 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.551 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.551 * [backup-simplify]: Simplify (+ 0 0) into 0
2.552 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.552 * [taylor]: Taking taylor expansion of 0 in im
2.552 * [backup-simplify]: Simplify 0 into 0
2.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.554 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.554 * [backup-simplify]: Simplify 0 into 0
2.554 * [backup-simplify]: Simplify 0 into 0
2.554 * [backup-simplify]: Simplify 0 into 0
2.554 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
2.555 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
2.555 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
2.555 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.555 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.555 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.555 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.555 * [taylor]: Taking taylor expansion of re in im
2.555 * [backup-simplify]: Simplify re into re
2.555 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.556 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.556 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.556 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.556 * [taylor]: Taking taylor expansion of im in im
2.556 * [backup-simplify]: Simplify 0 into 0
2.556 * [backup-simplify]: Simplify 1 into 1
2.556 * [backup-simplify]: Simplify (* 1 1) into 1
2.557 * [backup-simplify]: Simplify (/ 1 1) into 1
2.557 * [backup-simplify]: Simplify (+ 0 1) into 1
2.557 * [backup-simplify]: Simplify (sqrt 1) into 1
2.558 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.559 * [backup-simplify]: Simplify (+ 0 0) into 0
2.560 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.560 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.560 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.560 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.560 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.560 * [taylor]: Taking taylor expansion of re in re
2.560 * [backup-simplify]: Simplify 0 into 0
2.560 * [backup-simplify]: Simplify 1 into 1
2.561 * [backup-simplify]: Simplify (* 1 1) into 1
2.561 * [backup-simplify]: Simplify (/ 1 1) into 1
2.561 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.561 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.561 * [taylor]: Taking taylor expansion of im in re
2.561 * [backup-simplify]: Simplify im into im
2.561 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.562 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.562 * [backup-simplify]: Simplify (+ 1 0) into 1
2.563 * [backup-simplify]: Simplify (sqrt 1) into 1
2.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.565 * [backup-simplify]: Simplify (+ 0 0) into 0
2.565 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.565 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.565 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.565 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.565 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.566 * [taylor]: Taking taylor expansion of re in re
2.566 * [backup-simplify]: Simplify 0 into 0
2.566 * [backup-simplify]: Simplify 1 into 1
2.566 * [backup-simplify]: Simplify (* 1 1) into 1
2.566 * [backup-simplify]: Simplify (/ 1 1) into 1
2.566 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.566 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.566 * [taylor]: Taking taylor expansion of im in re
2.566 * [backup-simplify]: Simplify im into im
2.567 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.567 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.567 * [backup-simplify]: Simplify (+ 1 0) into 1
2.568 * [backup-simplify]: Simplify (sqrt 1) into 1
2.569 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.570 * [backup-simplify]: Simplify (+ 0 0) into 0
2.571 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.571 * [taylor]: Taking taylor expansion of 1 in im
2.571 * [backup-simplify]: Simplify 1 into 1
2.571 * [taylor]: Taking taylor expansion of 0 in im
2.571 * [backup-simplify]: Simplify 0 into 0
2.571 * [backup-simplify]: Simplify 1 into 1
2.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.573 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.574 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.574 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.574 * [taylor]: Taking taylor expansion of 1/2 in im
2.574 * [backup-simplify]: Simplify 1/2 into 1/2
2.574 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.574 * [taylor]: Taking taylor expansion of im in im
2.574 * [backup-simplify]: Simplify 0 into 0
2.574 * [backup-simplify]: Simplify 1 into 1
2.574 * [backup-simplify]: Simplify (* 1 1) into 1
2.574 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.575 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.575 * [backup-simplify]: Simplify 0 into 0
2.575 * [backup-simplify]: Simplify 0 into 0
2.575 * [backup-simplify]: Simplify 0 into 0
2.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.576 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.577 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.577 * [backup-simplify]: Simplify (+ 0 0) into 0
2.577 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.577 * [taylor]: Taking taylor expansion of 0 in im
2.577 * [backup-simplify]: Simplify 0 into 0
2.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.578 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.578 * [backup-simplify]: Simplify 0 into 0
2.578 * [backup-simplify]: Simplify 0 into 0
2.578 * [backup-simplify]: Simplify 0 into 0
2.578 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
2.578 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1 2)
2.579 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2))))
2.579 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0
2.579 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
2.579 * [taylor]: Taking taylor expansion of re in im
2.579 * [backup-simplify]: Simplify re into re
2.579 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
2.579 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
2.579 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.579 * [taylor]: Taking taylor expansion of im in im
2.579 * [backup-simplify]: Simplify 0 into 0
2.579 * [backup-simplify]: Simplify 1 into 1
2.579 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.579 * [taylor]: Taking taylor expansion of re in im
2.579 * [backup-simplify]: Simplify re into re
2.579 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.579 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
2.579 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.579 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.579 * [backup-simplify]: Simplify (+ 0 0) into 0
2.579 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.580 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
2.580 * [taylor]: Taking taylor expansion of re in re
2.580 * [backup-simplify]: Simplify 0 into 0
2.580 * [backup-simplify]: Simplify 1 into 1
2.580 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.580 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.580 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.580 * [taylor]: Taking taylor expansion of im in re
2.580 * [backup-simplify]: Simplify im into im
2.580 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.580 * [taylor]: Taking taylor expansion of re in re
2.580 * [backup-simplify]: Simplify 0 into 0
2.580 * [backup-simplify]: Simplify 1 into 1
2.580 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.580 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.580 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.580 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.580 * [backup-simplify]: Simplify (+ 0 0) into 0
2.580 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.580 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
2.580 * [taylor]: Taking taylor expansion of re in re
2.580 * [backup-simplify]: Simplify 0 into 0
2.580 * [backup-simplify]: Simplify 1 into 1
2.580 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.580 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.580 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.580 * [taylor]: Taking taylor expansion of im in re
2.580 * [backup-simplify]: Simplify im into im
2.581 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.581 * [taylor]: Taking taylor expansion of re in re
2.581 * [backup-simplify]: Simplify 0 into 0
2.581 * [backup-simplify]: Simplify 1 into 1
2.581 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.581 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.581 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.581 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.581 * [backup-simplify]: Simplify (+ 0 0) into 0
2.581 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.581 * [backup-simplify]: Simplify (+ 0 im) into im
2.581 * [taylor]: Taking taylor expansion of im in im
2.581 * [backup-simplify]: Simplify 0 into 0
2.581 * [backup-simplify]: Simplify 1 into 1
2.581 * [backup-simplify]: Simplify 0 into 0
2.582 * [backup-simplify]: Simplify (+ 1 0) into 1
2.582 * [taylor]: Taking taylor expansion of 1 in im
2.582 * [backup-simplify]: Simplify 1 into 1
2.582 * [backup-simplify]: Simplify 1 into 1
2.582 * [backup-simplify]: Simplify 1 into 1
2.582 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.582 * [backup-simplify]: Simplify (* 1 1) into 1
2.583 * [backup-simplify]: Simplify (+ 0 1) into 1
2.583 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.583 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
2.583 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
2.583 * [taylor]: Taking taylor expansion of 1/2 in im
2.583 * [backup-simplify]: Simplify 1/2 into 1/2
2.583 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.583 * [taylor]: Taking taylor expansion of im in im
2.583 * [backup-simplify]: Simplify 0 into 0
2.583 * [backup-simplify]: Simplify 1 into 1
2.583 * [backup-simplify]: Simplify (/ 1 1) into 1
2.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.584 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.584 * [backup-simplify]: Simplify 0 into 0
2.584 * [backup-simplify]: Simplify 0 into 0
2.584 * [backup-simplify]: Simplify 0 into 0
2.585 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.585 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.586 * [backup-simplify]: Simplify (+ 0 0) into 0
2.586 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.586 * [backup-simplify]: Simplify (+ 0 0) into 0
2.586 * [taylor]: Taking taylor expansion of 0 in im
2.586 * [backup-simplify]: Simplify 0 into 0
2.586 * [backup-simplify]: Simplify 0 into 0
2.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.587 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.587 * [backup-simplify]: Simplify 0 into 0
2.587 * [backup-simplify]: Simplify 0 into 0
2.587 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
2.587 * [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)))))
2.587 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
2.587 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
2.587 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.587 * [taylor]: Taking taylor expansion of re in im
2.587 * [backup-simplify]: Simplify re into re
2.587 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.587 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.587 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.587 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.588 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.588 * [taylor]: Taking taylor expansion of re in im
2.588 * [backup-simplify]: Simplify re into re
2.588 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.588 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.588 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.588 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.588 * [taylor]: Taking taylor expansion of im in im
2.588 * [backup-simplify]: Simplify 0 into 0
2.588 * [backup-simplify]: Simplify 1 into 1
2.588 * [backup-simplify]: Simplify (* 1 1) into 1
2.588 * [backup-simplify]: Simplify (/ 1 1) into 1
2.589 * [backup-simplify]: Simplify (+ 0 1) into 1
2.589 * [backup-simplify]: Simplify (sqrt 1) into 1
2.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.590 * [backup-simplify]: Simplify (+ 0 0) into 0
2.590 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.590 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
2.590 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.590 * [taylor]: Taking taylor expansion of re in re
2.590 * [backup-simplify]: Simplify 0 into 0
2.590 * [backup-simplify]: Simplify 1 into 1
2.591 * [backup-simplify]: Simplify (/ 1 1) into 1
2.591 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.591 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.591 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.591 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.591 * [taylor]: Taking taylor expansion of re in re
2.591 * [backup-simplify]: Simplify 0 into 0
2.591 * [backup-simplify]: Simplify 1 into 1
2.591 * [backup-simplify]: Simplify (* 1 1) into 1
2.591 * [backup-simplify]: Simplify (/ 1 1) into 1
2.591 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.591 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.591 * [taylor]: Taking taylor expansion of im in re
2.591 * [backup-simplify]: Simplify im into im
2.591 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.591 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.592 * [backup-simplify]: Simplify (+ 1 0) into 1
2.592 * [backup-simplify]: Simplify (sqrt 1) into 1
2.592 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.593 * [backup-simplify]: Simplify (+ 0 0) into 0
2.593 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.593 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
2.593 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.593 * [taylor]: Taking taylor expansion of re in re
2.593 * [backup-simplify]: Simplify 0 into 0
2.593 * [backup-simplify]: Simplify 1 into 1
2.594 * [backup-simplify]: Simplify (/ 1 1) into 1
2.594 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.594 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.594 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.594 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.594 * [taylor]: Taking taylor expansion of re in re
2.594 * [backup-simplify]: Simplify 0 into 0
2.594 * [backup-simplify]: Simplify 1 into 1
2.596 * [backup-simplify]: Simplify (* 1 1) into 1
2.596 * [backup-simplify]: Simplify (/ 1 1) into 1
2.596 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.596 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.596 * [taylor]: Taking taylor expansion of im in re
2.596 * [backup-simplify]: Simplify im into im
2.596 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.596 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.596 * [backup-simplify]: Simplify (+ 1 0) into 1
2.597 * [backup-simplify]: Simplify (sqrt 1) into 1
2.597 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.598 * [backup-simplify]: Simplify (+ 0 0) into 0
2.598 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.598 * [backup-simplify]: Simplify (+ 1 1) into 2
2.598 * [taylor]: Taking taylor expansion of 2 in im
2.598 * [backup-simplify]: Simplify 2 into 2
2.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.599 * [backup-simplify]: Simplify (+ 0 0) into 0
2.599 * [taylor]: Taking taylor expansion of 0 in im
2.599 * [backup-simplify]: Simplify 0 into 0
2.599 * [backup-simplify]: Simplify 2 into 2
2.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.602 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.603 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.603 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
2.603 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
2.603 * [taylor]: Taking taylor expansion of 1/2 in im
2.603 * [backup-simplify]: Simplify 1/2 into 1/2
2.603 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.603 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.603 * [taylor]: Taking taylor expansion of im in im
2.604 * [backup-simplify]: Simplify 0 into 0
2.604 * [backup-simplify]: Simplify 1 into 1
2.604 * [backup-simplify]: Simplify (* 1 1) into 1
2.604 * [backup-simplify]: Simplify (/ 1 1) into 1
2.605 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.605 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.605 * [backup-simplify]: Simplify 0 into 0
2.606 * [backup-simplify]: Simplify 0 into 0
2.606 * [backup-simplify]: Simplify 0 into 0
2.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.607 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.607 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.608 * [backup-simplify]: Simplify (+ 0 0) into 0
2.608 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.608 * [backup-simplify]: Simplify (+ 0 0) into 0
2.608 * [taylor]: Taking taylor expansion of 0 in im
2.608 * [backup-simplify]: Simplify 0 into 0
2.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.610 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.610 * [backup-simplify]: Simplify 0 into 0
2.610 * [backup-simplify]: Simplify 0 into 0
2.610 * [backup-simplify]: Simplify 0 into 0
2.610 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
2.610 * [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))
2.610 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
2.610 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
2.610 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.610 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.610 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.610 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.610 * [taylor]: Taking taylor expansion of re in im
2.611 * [backup-simplify]: Simplify re into re
2.611 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.611 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.611 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.611 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.611 * [taylor]: Taking taylor expansion of im in im
2.611 * [backup-simplify]: Simplify 0 into 0
2.611 * [backup-simplify]: Simplify 1 into 1
2.611 * [backup-simplify]: Simplify (* 1 1) into 1
2.611 * [backup-simplify]: Simplify (/ 1 1) into 1
2.611 * [backup-simplify]: Simplify (+ 0 1) into 1
2.612 * [backup-simplify]: Simplify (sqrt 1) into 1
2.612 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.613 * [backup-simplify]: Simplify (+ 0 0) into 0
2.613 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.613 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.613 * [taylor]: Taking taylor expansion of re in im
2.613 * [backup-simplify]: Simplify re into re
2.613 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.613 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
2.613 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.613 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.613 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.613 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.613 * [taylor]: Taking taylor expansion of re in re
2.613 * [backup-simplify]: Simplify 0 into 0
2.613 * [backup-simplify]: Simplify 1 into 1
2.614 * [backup-simplify]: Simplify (* 1 1) into 1
2.614 * [backup-simplify]: Simplify (/ 1 1) into 1
2.614 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.614 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.614 * [taylor]: Taking taylor expansion of im in re
2.614 * [backup-simplify]: Simplify im into im
2.614 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.614 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.614 * [backup-simplify]: Simplify (+ 1 0) into 1
2.615 * [backup-simplify]: Simplify (sqrt 1) into 1
2.615 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.616 * [backup-simplify]: Simplify (+ 0 0) into 0
2.616 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.616 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.617 * [taylor]: Taking taylor expansion of re in re
2.617 * [backup-simplify]: Simplify 0 into 0
2.617 * [backup-simplify]: Simplify 1 into 1
2.617 * [backup-simplify]: Simplify (/ 1 1) into 1
2.617 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
2.618 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.618 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.618 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.618 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.618 * [taylor]: Taking taylor expansion of re in re
2.618 * [backup-simplify]: Simplify 0 into 0
2.618 * [backup-simplify]: Simplify 1 into 1
2.618 * [backup-simplify]: Simplify (* 1 1) into 1
2.618 * [backup-simplify]: Simplify (/ 1 1) into 1
2.618 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.618 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.618 * [taylor]: Taking taylor expansion of im in re
2.618 * [backup-simplify]: Simplify im into im
2.618 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.618 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.619 * [backup-simplify]: Simplify (+ 1 0) into 1
2.619 * [backup-simplify]: Simplify (sqrt 1) into 1
2.619 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.620 * [backup-simplify]: Simplify (+ 0 0) into 0
2.620 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.620 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.620 * [taylor]: Taking taylor expansion of re in re
2.620 * [backup-simplify]: Simplify 0 into 0
2.620 * [backup-simplify]: Simplify 1 into 1
2.621 * [backup-simplify]: Simplify (/ 1 1) into 1
2.621 * [backup-simplify]: Simplify (- 1) into -1
2.621 * [backup-simplify]: Simplify (+ 1 -1) into 0
2.621 * [taylor]: Taking taylor expansion of 0 in im
2.621 * [backup-simplify]: Simplify 0 into 0
2.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.622 * [backup-simplify]: Simplify (- 0) into 0
2.622 * [backup-simplify]: Simplify (+ 0 0) into 0
2.622 * [taylor]: Taking taylor expansion of 0 in im
2.622 * [backup-simplify]: Simplify 0 into 0
2.622 * [backup-simplify]: Simplify 0 into 0
2.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.623 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.624 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.625 * [backup-simplify]: Simplify (- 0) into 0
2.625 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
2.625 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
2.625 * [taylor]: Taking taylor expansion of 1/2 in im
2.625 * [backup-simplify]: Simplify 1/2 into 1/2
2.625 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.625 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.625 * [taylor]: Taking taylor expansion of im in im
2.625 * [backup-simplify]: Simplify 0 into 0
2.625 * [backup-simplify]: Simplify 1 into 1
2.625 * [backup-simplify]: Simplify (* 1 1) into 1
2.626 * [backup-simplify]: Simplify (/ 1 1) into 1
2.626 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.627 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.627 * [backup-simplify]: Simplify 0 into 0
2.627 * [backup-simplify]: Simplify 0 into 0
2.627 * [backup-simplify]: Simplify 0 into 0
2.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.628 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.629 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.629 * [backup-simplify]: Simplify (+ 0 0) into 0
2.629 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.630 * [backup-simplify]: Simplify (- 0) into 0
2.630 * [backup-simplify]: Simplify (+ 0 0) into 0
2.630 * [taylor]: Taking taylor expansion of 0 in im
2.630 * [backup-simplify]: Simplify 0 into 0
2.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.632 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.632 * [backup-simplify]: Simplify 0 into 0
2.632 * [backup-simplify]: Simplify 0 into 0
2.632 * [backup-simplify]: Simplify 0 into 0
2.632 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 2)
2.632 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2))))
2.632 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0
2.632 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
2.632 * [taylor]: Taking taylor expansion of re in im
2.632 * [backup-simplify]: Simplify re into re
2.632 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
2.632 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
2.632 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.632 * [taylor]: Taking taylor expansion of im in im
2.632 * [backup-simplify]: Simplify 0 into 0
2.632 * [backup-simplify]: Simplify 1 into 1
2.632 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.632 * [taylor]: Taking taylor expansion of re in im
2.632 * [backup-simplify]: Simplify re into re
2.632 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.633 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
2.633 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.633 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.633 * [backup-simplify]: Simplify (+ 0 0) into 0
2.633 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.633 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
2.633 * [taylor]: Taking taylor expansion of re in re
2.633 * [backup-simplify]: Simplify 0 into 0
2.633 * [backup-simplify]: Simplify 1 into 1
2.633 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.633 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.633 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.633 * [taylor]: Taking taylor expansion of im in re
2.633 * [backup-simplify]: Simplify im into im
2.633 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.633 * [taylor]: Taking taylor expansion of re in re
2.633 * [backup-simplify]: Simplify 0 into 0
2.633 * [backup-simplify]: Simplify 1 into 1
2.633 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.633 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.633 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.634 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.634 * [backup-simplify]: Simplify (+ 0 0) into 0
2.634 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.634 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
2.634 * [taylor]: Taking taylor expansion of re in re
2.634 * [backup-simplify]: Simplify 0 into 0
2.634 * [backup-simplify]: Simplify 1 into 1
2.634 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.634 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.634 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.634 * [taylor]: Taking taylor expansion of im in re
2.634 * [backup-simplify]: Simplify im into im
2.634 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.634 * [taylor]: Taking taylor expansion of re in re
2.634 * [backup-simplify]: Simplify 0 into 0
2.634 * [backup-simplify]: Simplify 1 into 1
2.634 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.634 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.634 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.634 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.635 * [backup-simplify]: Simplify (+ 0 0) into 0
2.635 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.635 * [backup-simplify]: Simplify (+ 0 im) into im
2.635 * [taylor]: Taking taylor expansion of im in im
2.635 * [backup-simplify]: Simplify 0 into 0
2.635 * [backup-simplify]: Simplify 1 into 1
2.635 * [backup-simplify]: Simplify 0 into 0
2.635 * [backup-simplify]: Simplify (+ 1 0) into 1
2.635 * [taylor]: Taking taylor expansion of 1 in im
2.635 * [backup-simplify]: Simplify 1 into 1
2.635 * [backup-simplify]: Simplify 1 into 1
2.635 * [backup-simplify]: Simplify 1 into 1
2.636 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.636 * [backup-simplify]: Simplify (* 1 1) into 1
2.636 * [backup-simplify]: Simplify (+ 0 1) into 1
2.637 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.637 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
2.637 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
2.637 * [taylor]: Taking taylor expansion of 1/2 in im
2.637 * [backup-simplify]: Simplify 1/2 into 1/2
2.637 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.637 * [taylor]: Taking taylor expansion of im in im
2.637 * [backup-simplify]: Simplify 0 into 0
2.637 * [backup-simplify]: Simplify 1 into 1
2.638 * [backup-simplify]: Simplify (/ 1 1) into 1
2.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.639 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.639 * [backup-simplify]: Simplify 0 into 0
2.639 * [backup-simplify]: Simplify 0 into 0
2.639 * [backup-simplify]: Simplify 0 into 0
2.640 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.641 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.641 * [backup-simplify]: Simplify (+ 0 0) into 0
2.641 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.642 * [backup-simplify]: Simplify (+ 0 0) into 0
2.642 * [taylor]: Taking taylor expansion of 0 in im
2.642 * [backup-simplify]: Simplify 0 into 0
2.642 * [backup-simplify]: Simplify 0 into 0
2.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.644 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.644 * [backup-simplify]: Simplify 0 into 0
2.644 * [backup-simplify]: Simplify 0 into 0
2.644 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
2.644 * [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)))))
2.645 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
2.645 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
2.645 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.645 * [taylor]: Taking taylor expansion of re in im
2.645 * [backup-simplify]: Simplify re into re
2.645 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.645 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.645 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.645 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.645 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.645 * [taylor]: Taking taylor expansion of re in im
2.645 * [backup-simplify]: Simplify re into re
2.645 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.645 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.645 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.645 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.645 * [taylor]: Taking taylor expansion of im in im
2.645 * [backup-simplify]: Simplify 0 into 0
2.645 * [backup-simplify]: Simplify 1 into 1
2.646 * [backup-simplify]: Simplify (* 1 1) into 1
2.646 * [backup-simplify]: Simplify (/ 1 1) into 1
2.647 * [backup-simplify]: Simplify (+ 0 1) into 1
2.647 * [backup-simplify]: Simplify (sqrt 1) into 1
2.648 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.649 * [backup-simplify]: Simplify (+ 0 0) into 0
2.650 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.650 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
2.650 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.650 * [taylor]: Taking taylor expansion of re in re
2.650 * [backup-simplify]: Simplify 0 into 0
2.650 * [backup-simplify]: Simplify 1 into 1
2.650 * [backup-simplify]: Simplify (/ 1 1) into 1
2.650 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.650 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.650 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.650 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.650 * [taylor]: Taking taylor expansion of re in re
2.650 * [backup-simplify]: Simplify 0 into 0
2.650 * [backup-simplify]: Simplify 1 into 1
2.651 * [backup-simplify]: Simplify (* 1 1) into 1
2.651 * [backup-simplify]: Simplify (/ 1 1) into 1
2.651 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.651 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.651 * [taylor]: Taking taylor expansion of im in re
2.651 * [backup-simplify]: Simplify im into im
2.652 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.652 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.652 * [backup-simplify]: Simplify (+ 1 0) into 1
2.653 * [backup-simplify]: Simplify (sqrt 1) into 1
2.653 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.654 * [backup-simplify]: Simplify (+ 0 0) into 0
2.655 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.655 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
2.655 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.655 * [taylor]: Taking taylor expansion of re in re
2.655 * [backup-simplify]: Simplify 0 into 0
2.655 * [backup-simplify]: Simplify 1 into 1
2.656 * [backup-simplify]: Simplify (/ 1 1) into 1
2.656 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.656 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.656 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.656 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.656 * [taylor]: Taking taylor expansion of re in re
2.656 * [backup-simplify]: Simplify 0 into 0
2.656 * [backup-simplify]: Simplify 1 into 1
2.656 * [backup-simplify]: Simplify (* 1 1) into 1
2.657 * [backup-simplify]: Simplify (/ 1 1) into 1
2.657 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.657 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.657 * [taylor]: Taking taylor expansion of im in re
2.657 * [backup-simplify]: Simplify im into im
2.657 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.657 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.658 * [backup-simplify]: Simplify (+ 1 0) into 1
2.658 * [backup-simplify]: Simplify (sqrt 1) into 1
2.659 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.660 * [backup-simplify]: Simplify (+ 0 0) into 0
2.661 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.661 * [backup-simplify]: Simplify (+ 1 1) into 2
2.661 * [taylor]: Taking taylor expansion of 2 in im
2.661 * [backup-simplify]: Simplify 2 into 2
2.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.662 * [backup-simplify]: Simplify (+ 0 0) into 0
2.662 * [taylor]: Taking taylor expansion of 0 in im
2.662 * [backup-simplify]: Simplify 0 into 0
2.662 * [backup-simplify]: Simplify 2 into 2
2.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.664 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.665 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.667 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.667 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
2.667 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
2.667 * [taylor]: Taking taylor expansion of 1/2 in im
2.667 * [backup-simplify]: Simplify 1/2 into 1/2
2.667 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.667 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.667 * [taylor]: Taking taylor expansion of im in im
2.667 * [backup-simplify]: Simplify 0 into 0
2.667 * [backup-simplify]: Simplify 1 into 1
2.668 * [backup-simplify]: Simplify (* 1 1) into 1
2.668 * [backup-simplify]: Simplify (/ 1 1) into 1
2.669 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.670 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.670 * [backup-simplify]: Simplify 0 into 0
2.670 * [backup-simplify]: Simplify 0 into 0
2.670 * [backup-simplify]: Simplify 0 into 0
2.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.673 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.674 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.674 * [backup-simplify]: Simplify (+ 0 0) into 0
2.675 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.675 * [backup-simplify]: Simplify (+ 0 0) into 0
2.675 * [taylor]: Taking taylor expansion of 0 in im
2.675 * [backup-simplify]: Simplify 0 into 0
2.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.678 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.679 * [backup-simplify]: Simplify 0 into 0
2.679 * [backup-simplify]: Simplify 0 into 0
2.679 * [backup-simplify]: Simplify 0 into 0
2.679 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
2.679 * [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))
2.679 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
2.679 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
2.679 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.679 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.679 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.679 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.680 * [taylor]: Taking taylor expansion of re in im
2.680 * [backup-simplify]: Simplify re into re
2.680 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.680 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.680 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.680 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.680 * [taylor]: Taking taylor expansion of im in im
2.680 * [backup-simplify]: Simplify 0 into 0
2.680 * [backup-simplify]: Simplify 1 into 1
2.680 * [backup-simplify]: Simplify (* 1 1) into 1
2.681 * [backup-simplify]: Simplify (/ 1 1) into 1
2.681 * [backup-simplify]: Simplify (+ 0 1) into 1
2.682 * [backup-simplify]: Simplify (sqrt 1) into 1
2.682 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.684 * [backup-simplify]: Simplify (+ 0 0) into 0
2.684 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.684 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.684 * [taylor]: Taking taylor expansion of re in im
2.684 * [backup-simplify]: Simplify re into re
2.684 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.684 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
2.684 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.684 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.684 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.684 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.684 * [taylor]: Taking taylor expansion of re in re
2.684 * [backup-simplify]: Simplify 0 into 0
2.684 * [backup-simplify]: Simplify 1 into 1
2.685 * [backup-simplify]: Simplify (* 1 1) into 1
2.685 * [backup-simplify]: Simplify (/ 1 1) into 1
2.685 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.685 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.685 * [taylor]: Taking taylor expansion of im in re
2.685 * [backup-simplify]: Simplify im into im
2.685 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.685 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.686 * [backup-simplify]: Simplify (+ 1 0) into 1
2.686 * [backup-simplify]: Simplify (sqrt 1) into 1
2.686 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.687 * [backup-simplify]: Simplify (+ 0 0) into 0
2.687 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.687 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.687 * [taylor]: Taking taylor expansion of re in re
2.687 * [backup-simplify]: Simplify 0 into 0
2.687 * [backup-simplify]: Simplify 1 into 1
2.688 * [backup-simplify]: Simplify (/ 1 1) into 1
2.688 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
2.688 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.688 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.688 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.688 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.688 * [taylor]: Taking taylor expansion of re in re
2.688 * [backup-simplify]: Simplify 0 into 0
2.688 * [backup-simplify]: Simplify 1 into 1
2.688 * [backup-simplify]: Simplify (* 1 1) into 1
2.688 * [backup-simplify]: Simplify (/ 1 1) into 1
2.688 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.688 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.688 * [taylor]: Taking taylor expansion of im in re
2.688 * [backup-simplify]: Simplify im into im
2.688 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.689 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.689 * [backup-simplify]: Simplify (+ 1 0) into 1
2.689 * [backup-simplify]: Simplify (sqrt 1) into 1
2.690 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.690 * [backup-simplify]: Simplify (+ 0 0) into 0
2.691 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.691 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.691 * [taylor]: Taking taylor expansion of re in re
2.691 * [backup-simplify]: Simplify 0 into 0
2.691 * [backup-simplify]: Simplify 1 into 1
2.691 * [backup-simplify]: Simplify (/ 1 1) into 1
2.692 * [backup-simplify]: Simplify (- 1) into -1
2.692 * [backup-simplify]: Simplify (+ 1 -1) into 0
2.692 * [taylor]: Taking taylor expansion of 0 in im
2.692 * [backup-simplify]: Simplify 0 into 0
2.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.693 * [backup-simplify]: Simplify (- 0) into 0
2.693 * [backup-simplify]: Simplify (+ 0 0) into 0
2.693 * [taylor]: Taking taylor expansion of 0 in im
2.693 * [backup-simplify]: Simplify 0 into 0
2.693 * [backup-simplify]: Simplify 0 into 0
2.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.694 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.695 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.696 * [backup-simplify]: Simplify (- 0) into 0
2.696 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
2.696 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
2.696 * [taylor]: Taking taylor expansion of 1/2 in im
2.696 * [backup-simplify]: Simplify 1/2 into 1/2
2.696 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.696 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.696 * [taylor]: Taking taylor expansion of im in im
2.696 * [backup-simplify]: Simplify 0 into 0
2.696 * [backup-simplify]: Simplify 1 into 1
2.696 * [backup-simplify]: Simplify (* 1 1) into 1
2.697 * [backup-simplify]: Simplify (/ 1 1) into 1
2.697 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.698 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.698 * [backup-simplify]: Simplify 0 into 0
2.698 * [backup-simplify]: Simplify 0 into 0
2.698 * [backup-simplify]: Simplify 0 into 0
2.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.699 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.699 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.700 * [backup-simplify]: Simplify (+ 0 0) into 0
2.700 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.701 * [backup-simplify]: Simplify (- 0) into 0
2.701 * [backup-simplify]: Simplify (+ 0 0) into 0
2.701 * [taylor]: Taking taylor expansion of 0 in im
2.701 * [backup-simplify]: Simplify 0 into 0
2.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.702 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.703 * [backup-simplify]: Simplify 0 into 0
2.703 * [backup-simplify]: Simplify 0 into 0
2.703 * [backup-simplify]: Simplify 0 into 0
2.703 * * * [progress]: simplifying candidates
2.704 * [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))))
  (* (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)
  (* (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)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  (+ re im)
  (* 2 re)
  0
  (+ re im)
  (* 2 re)
  0
2.704 * * [simplify]: iteration 0: 59 enodes
2.716 * * [simplify]: iteration 1: 143 enodes
2.773 * * [simplify]: iteration 2: 375 enodes
2.908 * * [simplify]: iteration 3: 986 enodes
3.621 * * [simplify]: iteration 4: 4336 enodes
4.791 * * [simplify]: iteration complete: 5000 enodes
4.791 * * [simplify]: Extracting #0: cost 32 inf + 0
4.792 * * [simplify]: Extracting #1: cost 203 inf + 170
4.796 * * [simplify]: Extracting #2: cost 589 inf + 4274
4.811 * * [simplify]: Extracting #3: cost 841 inf + 45980
4.855 * * [simplify]: Extracting #4: cost 490 inf + 179762
4.931 * * [simplify]: Extracting #5: cost 81 inf + 288792
5.003 * * [simplify]: Extracting #6: cost 3 inf + 317051
5.052 * * [simplify]: Extracting #7: cost 0 inf + 317869
5.107 * [simplify]: Simplified to:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* (* re re) re) (* (* re re) re)) (* (* im im) (* (* im im) (* im im)))))
  (sqrt (+ (* (* im im) (* im im)) (* (- (* re re) (* im im)) (* re re))))
  (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* 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))) (+ (* re re) (* im im)))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* (* re re) re) (* (* re re) re)) (* (* im im) (* (* im im) (* im im)))))
  (sqrt (+ (* (* im im) (* im im)) (* (- (* re re) (* im im)) (* re re))))
  (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im))))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (exp (+ re (sqrt (+ (* re re) (* im im)))))
  (log (+ (sqrt (+ (* re re) (* im im))) re))
  (exp (+ re (sqrt (+ (* re re) (* im im)))))
  (* (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))
  (+ (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (* (* re re) re))
  (- (+ (* re re) (+ (* re re) (* im im))) (* (sqrt (+ (* re re) (* im im))) re))
  (* im im)
  (- (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (+ (* re re) (* im im))) re)
  (exp (+ re (sqrt (+ (* re re) (* im im)))))
  (log (+ (sqrt (+ (* re re) (* im im))) re))
  (exp (+ re (sqrt (+ (* re re) (* im im)))))
  (* (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))
  (+ (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (* (* re re) re))
  (- (+ (* re re) (+ (* re re) (* im im))) (* (sqrt (+ (* re re) (* im im))) re))
  (* im im)
  (- (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (+ (* re re) (* im im))) re)
  im
  re
  (- re)
  im
  re
  (- re)
  (+ re im)
  (+ re re)
  0
  (+ re im)
  (+ re re)
  0
5.121 * * * [progress]: adding candidates to table
5.577 * * [progress]: iteration 3 / 4
5.577 * * * [progress]: picking best candidate
5.627 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)))))>
5.627 * * * [progress]: localizing error
5.660 * * * [progress]: generating rewritten candidates
5.660 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 1 1)
5.666 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2)
5.722 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1)
5.731 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
5.790 * * * [progress]: generating series expansions
5.790 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 1 1)
5.791 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
5.791 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
5.791 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
5.791 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
5.791 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.791 * [taylor]: Taking taylor expansion of im in im
5.791 * [backup-simplify]: Simplify 0 into 0
5.791 * [backup-simplify]: Simplify 1 into 1
5.791 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.791 * [taylor]: Taking taylor expansion of re in im
5.791 * [backup-simplify]: Simplify re into re
5.791 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.791 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
5.791 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.792 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.792 * [backup-simplify]: Simplify (+ 0 0) into 0
5.793 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.793 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
5.793 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
5.793 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.793 * [taylor]: Taking taylor expansion of im in re
5.793 * [backup-simplify]: Simplify im into im
5.793 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.793 * [taylor]: Taking taylor expansion of re in re
5.793 * [backup-simplify]: Simplify 0 into 0
5.793 * [backup-simplify]: Simplify 1 into 1
5.793 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.793 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
5.793 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.793 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.794 * [backup-simplify]: Simplify (+ 0 0) into 0
5.794 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.794 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
5.794 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
5.794 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.794 * [taylor]: Taking taylor expansion of im in re
5.794 * [backup-simplify]: Simplify im into im
5.794 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.794 * [taylor]: Taking taylor expansion of re in re
5.794 * [backup-simplify]: Simplify 0 into 0
5.794 * [backup-simplify]: Simplify 1 into 1
5.794 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.794 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
5.794 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.795 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.795 * [backup-simplify]: Simplify (+ 0 0) into 0
5.795 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.795 * [taylor]: Taking taylor expansion of im in im
5.795 * [backup-simplify]: Simplify 0 into 0
5.795 * [backup-simplify]: Simplify 1 into 1
5.795 * [backup-simplify]: Simplify 0 into 0
5.795 * [taylor]: Taking taylor expansion of 0 in im
5.795 * [backup-simplify]: Simplify 0 into 0
5.795 * [backup-simplify]: Simplify 0 into 0
5.796 * [backup-simplify]: Simplify 1 into 1
5.796 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.797 * [backup-simplify]: Simplify (* 1 1) into 1
5.797 * [backup-simplify]: Simplify (+ 0 1) into 1
5.798 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
5.798 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
5.798 * [taylor]: Taking taylor expansion of 1/2 in im
5.798 * [backup-simplify]: Simplify 1/2 into 1/2
5.798 * [taylor]: Taking taylor expansion of im in im
5.798 * [backup-simplify]: Simplify 0 into 0
5.798 * [backup-simplify]: Simplify 1 into 1
5.799 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.800 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.800 * [backup-simplify]: Simplify 0 into 0
5.800 * [backup-simplify]: Simplify 0 into 0
5.800 * [backup-simplify]: Simplify 0 into 0
5.801 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
5.801 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.802 * [backup-simplify]: Simplify (+ 0 0) into 0
5.802 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
5.802 * [taylor]: Taking taylor expansion of 0 in im
5.802 * [backup-simplify]: Simplify 0 into 0
5.802 * [backup-simplify]: Simplify 0 into 0
5.803 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.803 * [backup-simplify]: Simplify 0 into 0
5.803 * [backup-simplify]: Simplify 0 into 0
5.803 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
5.804 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
5.804 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
5.804 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.804 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.804 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.804 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.804 * [taylor]: Taking taylor expansion of re in im
5.804 * [backup-simplify]: Simplify re into re
5.804 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.804 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.804 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.804 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.804 * [taylor]: Taking taylor expansion of im in im
5.804 * [backup-simplify]: Simplify 0 into 0
5.804 * [backup-simplify]: Simplify 1 into 1
5.805 * [backup-simplify]: Simplify (* 1 1) into 1
5.805 * [backup-simplify]: Simplify (/ 1 1) into 1
5.805 * [backup-simplify]: Simplify (+ 0 1) into 1
5.806 * [backup-simplify]: Simplify (sqrt 1) into 1
5.806 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.808 * [backup-simplify]: Simplify (+ 0 0) into 0
5.808 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.808 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.808 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.808 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.809 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.809 * [taylor]: Taking taylor expansion of re in re
5.809 * [backup-simplify]: Simplify 0 into 0
5.809 * [backup-simplify]: Simplify 1 into 1
5.809 * [backup-simplify]: Simplify (* 1 1) into 1
5.809 * [backup-simplify]: Simplify (/ 1 1) into 1
5.809 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.809 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.809 * [taylor]: Taking taylor expansion of im in re
5.810 * [backup-simplify]: Simplify im into im
5.810 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.810 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.810 * [backup-simplify]: Simplify (+ 1 0) into 1
5.811 * [backup-simplify]: Simplify (sqrt 1) into 1
5.811 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.812 * [backup-simplify]: Simplify (+ 0 0) into 0
5.813 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.813 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.813 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.813 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.813 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.813 * [taylor]: Taking taylor expansion of re in re
5.814 * [backup-simplify]: Simplify 0 into 0
5.814 * [backup-simplify]: Simplify 1 into 1
5.814 * [backup-simplify]: Simplify (* 1 1) into 1
5.814 * [backup-simplify]: Simplify (/ 1 1) into 1
5.814 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.814 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.815 * [taylor]: Taking taylor expansion of im in re
5.815 * [backup-simplify]: Simplify im into im
5.815 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.815 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.815 * [backup-simplify]: Simplify (+ 1 0) into 1
5.816 * [backup-simplify]: Simplify (sqrt 1) into 1
5.817 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.818 * [backup-simplify]: Simplify (+ 0 0) into 0
5.818 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.818 * [taylor]: Taking taylor expansion of 1 in im
5.819 * [backup-simplify]: Simplify 1 into 1
5.819 * [taylor]: Taking taylor expansion of 0 in im
5.819 * [backup-simplify]: Simplify 0 into 0
5.819 * [backup-simplify]: Simplify 1 into 1
5.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.821 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.822 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.822 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.822 * [taylor]: Taking taylor expansion of 1/2 in im
5.822 * [backup-simplify]: Simplify 1/2 into 1/2
5.822 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.822 * [taylor]: Taking taylor expansion of im in im
5.822 * [backup-simplify]: Simplify 0 into 0
5.822 * [backup-simplify]: Simplify 1 into 1
5.823 * [backup-simplify]: Simplify (* 1 1) into 1
5.823 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.825 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.825 * [backup-simplify]: Simplify 0 into 0
5.825 * [backup-simplify]: Simplify 0 into 0
5.825 * [backup-simplify]: Simplify 0 into 0
5.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.827 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.828 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.828 * [backup-simplify]: Simplify (+ 0 0) into 0
5.829 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.829 * [taylor]: Taking taylor expansion of 0 in im
5.829 * [backup-simplify]: Simplify 0 into 0
5.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.831 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.831 * [backup-simplify]: Simplify 0 into 0
5.831 * [backup-simplify]: Simplify 0 into 0
5.831 * [backup-simplify]: Simplify 0 into 0
5.831 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
5.832 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
5.832 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
5.832 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.832 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.832 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.832 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.832 * [taylor]: Taking taylor expansion of re in im
5.832 * [backup-simplify]: Simplify re into re
5.832 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.832 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.832 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.832 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.832 * [taylor]: Taking taylor expansion of im in im
5.832 * [backup-simplify]: Simplify 0 into 0
5.832 * [backup-simplify]: Simplify 1 into 1
5.833 * [backup-simplify]: Simplify (* 1 1) into 1
5.833 * [backup-simplify]: Simplify (/ 1 1) into 1
5.834 * [backup-simplify]: Simplify (+ 0 1) into 1
5.834 * [backup-simplify]: Simplify (sqrt 1) into 1
5.835 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.836 * [backup-simplify]: Simplify (+ 0 0) into 0
5.836 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.837 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.837 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.837 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.837 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.837 * [taylor]: Taking taylor expansion of re in re
5.837 * [backup-simplify]: Simplify 0 into 0
5.837 * [backup-simplify]: Simplify 1 into 1
5.837 * [backup-simplify]: Simplify (* 1 1) into 1
5.838 * [backup-simplify]: Simplify (/ 1 1) into 1
5.838 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.838 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.838 * [taylor]: Taking taylor expansion of im in re
5.838 * [backup-simplify]: Simplify im into im
5.838 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.838 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.838 * [backup-simplify]: Simplify (+ 1 0) into 1
5.839 * [backup-simplify]: Simplify (sqrt 1) into 1
5.839 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.841 * [backup-simplify]: Simplify (+ 0 0) into 0
5.841 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.841 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.842 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.842 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.842 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.842 * [taylor]: Taking taylor expansion of re in re
5.842 * [backup-simplify]: Simplify 0 into 0
5.842 * [backup-simplify]: Simplify 1 into 1
5.842 * [backup-simplify]: Simplify (* 1 1) into 1
5.842 * [backup-simplify]: Simplify (/ 1 1) into 1
5.842 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.843 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.843 * [taylor]: Taking taylor expansion of im in re
5.843 * [backup-simplify]: Simplify im into im
5.843 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.843 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.843 * [backup-simplify]: Simplify (+ 1 0) into 1
5.844 * [backup-simplify]: Simplify (sqrt 1) into 1
5.844 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.849 * [backup-simplify]: Simplify (+ 0 0) into 0
5.849 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.850 * [taylor]: Taking taylor expansion of 1 in im
5.850 * [backup-simplify]: Simplify 1 into 1
5.850 * [taylor]: Taking taylor expansion of 0 in im
5.850 * [backup-simplify]: Simplify 0 into 0
5.850 * [backup-simplify]: Simplify 1 into 1
5.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.852 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.853 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.853 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.853 * [taylor]: Taking taylor expansion of 1/2 in im
5.853 * [backup-simplify]: Simplify 1/2 into 1/2
5.853 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.853 * [taylor]: Taking taylor expansion of im in im
5.853 * [backup-simplify]: Simplify 0 into 0
5.853 * [backup-simplify]: Simplify 1 into 1
5.854 * [backup-simplify]: Simplify (* 1 1) into 1
5.854 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.855 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.856 * [backup-simplify]: Simplify 0 into 0
5.856 * [backup-simplify]: Simplify 0 into 0
5.856 * [backup-simplify]: Simplify 0 into 0
5.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.858 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.859 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.859 * [backup-simplify]: Simplify (+ 0 0) into 0
5.860 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.860 * [taylor]: Taking taylor expansion of 0 in im
5.860 * [backup-simplify]: Simplify 0 into 0
5.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.862 * [backup-simplify]: Simplify 0 into 0
5.862 * [backup-simplify]: Simplify 0 into 0
5.862 * [backup-simplify]: Simplify 0 into 0
5.862 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
5.862 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2)
5.862 * [backup-simplify]: Simplify (+ (exp (log (sqrt (+ (* re re) (* im im))))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2))))
5.863 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0
5.863 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
5.863 * [taylor]: Taking taylor expansion of re in im
5.863 * [backup-simplify]: Simplify re into re
5.863 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
5.863 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
5.863 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.863 * [taylor]: Taking taylor expansion of im in im
5.863 * [backup-simplify]: Simplify 0 into 0
5.863 * [backup-simplify]: Simplify 1 into 1
5.863 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.863 * [taylor]: Taking taylor expansion of re in im
5.863 * [backup-simplify]: Simplify re into re
5.863 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.863 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
5.863 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.863 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.864 * [backup-simplify]: Simplify (+ 0 0) into 0
5.864 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.864 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
5.864 * [taylor]: Taking taylor expansion of re in re
5.864 * [backup-simplify]: Simplify 0 into 0
5.864 * [backup-simplify]: Simplify 1 into 1
5.864 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
5.864 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
5.864 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.864 * [taylor]: Taking taylor expansion of im in re
5.864 * [backup-simplify]: Simplify im into im
5.864 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.864 * [taylor]: Taking taylor expansion of re in re
5.864 * [backup-simplify]: Simplify 0 into 0
5.864 * [backup-simplify]: Simplify 1 into 1
5.864 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.864 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
5.865 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.865 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.865 * [backup-simplify]: Simplify (+ 0 0) into 0
5.865 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.865 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
5.865 * [taylor]: Taking taylor expansion of re in re
5.865 * [backup-simplify]: Simplify 0 into 0
5.865 * [backup-simplify]: Simplify 1 into 1
5.865 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
5.865 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
5.865 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.865 * [taylor]: Taking taylor expansion of im in re
5.866 * [backup-simplify]: Simplify im into im
5.866 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.866 * [taylor]: Taking taylor expansion of re in re
5.866 * [backup-simplify]: Simplify 0 into 0
5.866 * [backup-simplify]: Simplify 1 into 1
5.866 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.866 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
5.866 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.866 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.866 * [backup-simplify]: Simplify (+ 0 0) into 0
5.867 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.867 * [backup-simplify]: Simplify (+ 0 im) into im
5.867 * [taylor]: Taking taylor expansion of im in im
5.867 * [backup-simplify]: Simplify 0 into 0
5.867 * [backup-simplify]: Simplify 1 into 1
5.867 * [backup-simplify]: Simplify 0 into 0
5.867 * [backup-simplify]: Simplify (+ 1 0) into 1
5.867 * [taylor]: Taking taylor expansion of 1 in im
5.867 * [backup-simplify]: Simplify 1 into 1
5.867 * [backup-simplify]: Simplify 1 into 1
5.867 * [backup-simplify]: Simplify 1 into 1
5.868 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.868 * [backup-simplify]: Simplify (* 1 1) into 1
5.869 * [backup-simplify]: Simplify (+ 0 1) into 1
5.870 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
5.870 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
5.870 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
5.870 * [taylor]: Taking taylor expansion of 1/2 in im
5.870 * [backup-simplify]: Simplify 1/2 into 1/2
5.870 * [taylor]: Taking taylor expansion of (/ 1 im) in im
5.870 * [taylor]: Taking taylor expansion of im in im
5.870 * [backup-simplify]: Simplify 0 into 0
5.870 * [backup-simplify]: Simplify 1 into 1
5.870 * [backup-simplify]: Simplify (/ 1 1) into 1
5.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.872 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.872 * [backup-simplify]: Simplify 0 into 0
5.872 * [backup-simplify]: Simplify 0 into 0
5.872 * [backup-simplify]: Simplify 0 into 0
5.873 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
5.873 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.874 * [backup-simplify]: Simplify (+ 0 0) into 0
5.874 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
5.874 * [backup-simplify]: Simplify (+ 0 0) into 0
5.874 * [taylor]: Taking taylor expansion of 0 in im
5.874 * [backup-simplify]: Simplify 0 into 0
5.875 * [backup-simplify]: Simplify 0 into 0
5.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.876 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
5.877 * [backup-simplify]: Simplify 0 into 0
5.877 * [backup-simplify]: Simplify 0 into 0
5.877 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
5.877 * [backup-simplify]: Simplify (+ (exp (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))
5.877 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
5.877 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
5.877 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.877 * [taylor]: Taking taylor expansion of re in im
5.877 * [backup-simplify]: Simplify re into re
5.878 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.878 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.878 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.878 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.878 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.878 * [taylor]: Taking taylor expansion of re in im
5.878 * [backup-simplify]: Simplify re into re
5.878 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.878 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.878 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.878 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.878 * [taylor]: Taking taylor expansion of im in im
5.878 * [backup-simplify]: Simplify 0 into 0
5.878 * [backup-simplify]: Simplify 1 into 1
5.879 * [backup-simplify]: Simplify (* 1 1) into 1
5.879 * [backup-simplify]: Simplify (/ 1 1) into 1
5.879 * [backup-simplify]: Simplify (+ 0 1) into 1
5.880 * [backup-simplify]: Simplify (sqrt 1) into 1
5.880 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.882 * [backup-simplify]: Simplify (+ 0 0) into 0
5.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.882 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
5.882 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.882 * [taylor]: Taking taylor expansion of re in re
5.882 * [backup-simplify]: Simplify 0 into 0
5.882 * [backup-simplify]: Simplify 1 into 1
5.883 * [backup-simplify]: Simplify (/ 1 1) into 1
5.883 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.883 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.883 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.883 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.883 * [taylor]: Taking taylor expansion of re in re
5.883 * [backup-simplify]: Simplify 0 into 0
5.883 * [backup-simplify]: Simplify 1 into 1
5.883 * [backup-simplify]: Simplify (* 1 1) into 1
5.884 * [backup-simplify]: Simplify (/ 1 1) into 1
5.884 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.884 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.884 * [taylor]: Taking taylor expansion of im in re
5.884 * [backup-simplify]: Simplify im into im
5.884 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.884 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.885 * [backup-simplify]: Simplify (+ 1 0) into 1
5.885 * [backup-simplify]: Simplify (sqrt 1) into 1
5.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.887 * [backup-simplify]: Simplify (+ 0 0) into 0
5.888 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.888 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
5.888 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.888 * [taylor]: Taking taylor expansion of re in re
5.888 * [backup-simplify]: Simplify 0 into 0
5.888 * [backup-simplify]: Simplify 1 into 1
5.889 * [backup-simplify]: Simplify (/ 1 1) into 1
5.889 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.889 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.889 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.889 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.889 * [taylor]: Taking taylor expansion of re in re
5.889 * [backup-simplify]: Simplify 0 into 0
5.889 * [backup-simplify]: Simplify 1 into 1
5.889 * [backup-simplify]: Simplify (* 1 1) into 1
5.890 * [backup-simplify]: Simplify (/ 1 1) into 1
5.890 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.890 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.890 * [taylor]: Taking taylor expansion of im in re
5.890 * [backup-simplify]: Simplify im into im
5.890 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.890 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.891 * [backup-simplify]: Simplify (+ 1 0) into 1
5.891 * [backup-simplify]: Simplify (sqrt 1) into 1
5.892 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.893 * [backup-simplify]: Simplify (+ 0 0) into 0
5.894 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.894 * [backup-simplify]: Simplify (+ 1 1) into 2
5.894 * [taylor]: Taking taylor expansion of 2 in im
5.894 * [backup-simplify]: Simplify 2 into 2
5.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.895 * [backup-simplify]: Simplify (+ 0 0) into 0
5.896 * [taylor]: Taking taylor expansion of 0 in im
5.896 * [backup-simplify]: Simplify 0 into 0
5.896 * [backup-simplify]: Simplify 2 into 2
5.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.898 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.898 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.898 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
5.898 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
5.898 * [taylor]: Taking taylor expansion of 1/2 in im
5.899 * [backup-simplify]: Simplify 1/2 into 1/2
5.899 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.899 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.899 * [taylor]: Taking taylor expansion of im in im
5.899 * [backup-simplify]: Simplify 0 into 0
5.899 * [backup-simplify]: Simplify 1 into 1
5.899 * [backup-simplify]: Simplify (* 1 1) into 1
5.899 * [backup-simplify]: Simplify (/ 1 1) into 1
5.899 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.900 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.900 * [backup-simplify]: Simplify 0 into 0
5.900 * [backup-simplify]: Simplify 0 into 0
5.900 * [backup-simplify]: Simplify 0 into 0
5.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.902 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.902 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.903 * [backup-simplify]: Simplify (+ 0 0) into 0
5.903 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.903 * [backup-simplify]: Simplify (+ 0 0) into 0
5.903 * [taylor]: Taking taylor expansion of 0 in im
5.903 * [backup-simplify]: Simplify 0 into 0
5.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.905 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
5.905 * [backup-simplify]: Simplify 0 into 0
5.905 * [backup-simplify]: Simplify 0 into 0
5.905 * [backup-simplify]: Simplify 0 into 0
5.905 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
5.906 * [backup-simplify]: Simplify (+ (exp (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))
5.906 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
5.906 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
5.906 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.906 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.906 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.906 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.906 * [taylor]: Taking taylor expansion of re in im
5.906 * [backup-simplify]: Simplify re into re
5.906 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.906 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.906 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.906 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.906 * [taylor]: Taking taylor expansion of im in im
5.906 * [backup-simplify]: Simplify 0 into 0
5.906 * [backup-simplify]: Simplify 1 into 1
5.906 * [backup-simplify]: Simplify (* 1 1) into 1
5.906 * [backup-simplify]: Simplify (/ 1 1) into 1
5.907 * [backup-simplify]: Simplify (+ 0 1) into 1
5.907 * [backup-simplify]: Simplify (sqrt 1) into 1
5.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.908 * [backup-simplify]: Simplify (+ 0 0) into 0
5.909 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.909 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.909 * [taylor]: Taking taylor expansion of re in im
5.909 * [backup-simplify]: Simplify re into re
5.909 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.909 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
5.909 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.909 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.909 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.909 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.909 * [taylor]: Taking taylor expansion of re in re
5.909 * [backup-simplify]: Simplify 0 into 0
5.909 * [backup-simplify]: Simplify 1 into 1
5.909 * [backup-simplify]: Simplify (* 1 1) into 1
5.909 * [backup-simplify]: Simplify (/ 1 1) into 1
5.909 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.909 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.909 * [taylor]: Taking taylor expansion of im in re
5.909 * [backup-simplify]: Simplify im into im
5.910 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.910 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.910 * [backup-simplify]: Simplify (+ 1 0) into 1
5.910 * [backup-simplify]: Simplify (sqrt 1) into 1
5.911 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.911 * [backup-simplify]: Simplify (+ 0 0) into 0
5.912 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.912 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.912 * [taylor]: Taking taylor expansion of re in re
5.912 * [backup-simplify]: Simplify 0 into 0
5.912 * [backup-simplify]: Simplify 1 into 1
5.912 * [backup-simplify]: Simplify (/ 1 1) into 1
5.912 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
5.912 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.912 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.912 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.912 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.912 * [taylor]: Taking taylor expansion of re in re
5.912 * [backup-simplify]: Simplify 0 into 0
5.912 * [backup-simplify]: Simplify 1 into 1
5.912 * [backup-simplify]: Simplify (* 1 1) into 1
5.913 * [backup-simplify]: Simplify (/ 1 1) into 1
5.913 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.913 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.913 * [taylor]: Taking taylor expansion of im in re
5.913 * [backup-simplify]: Simplify im into im
5.913 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.913 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.913 * [backup-simplify]: Simplify (+ 1 0) into 1
5.913 * [backup-simplify]: Simplify (sqrt 1) into 1
5.914 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.914 * [backup-simplify]: Simplify (+ 0 0) into 0
5.915 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.915 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.915 * [taylor]: Taking taylor expansion of re in re
5.915 * [backup-simplify]: Simplify 0 into 0
5.915 * [backup-simplify]: Simplify 1 into 1
5.915 * [backup-simplify]: Simplify (/ 1 1) into 1
5.915 * [backup-simplify]: Simplify (- 1) into -1
5.916 * [backup-simplify]: Simplify (+ 1 -1) into 0
5.916 * [taylor]: Taking taylor expansion of 0 in im
5.916 * [backup-simplify]: Simplify 0 into 0
5.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.916 * [backup-simplify]: Simplify (- 0) into 0
5.917 * [backup-simplify]: Simplify (+ 0 0) into 0
5.917 * [taylor]: Taking taylor expansion of 0 in im
5.917 * [backup-simplify]: Simplify 0 into 0
5.917 * [backup-simplify]: Simplify 0 into 0
5.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.918 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.919 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.920 * [backup-simplify]: Simplify (- 0) into 0
5.920 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
5.920 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
5.920 * [taylor]: Taking taylor expansion of 1/2 in im
5.920 * [backup-simplify]: Simplify 1/2 into 1/2
5.920 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.920 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.920 * [taylor]: Taking taylor expansion of im in im
5.920 * [backup-simplify]: Simplify 0 into 0
5.920 * [backup-simplify]: Simplify 1 into 1
5.920 * [backup-simplify]: Simplify (* 1 1) into 1
5.920 * [backup-simplify]: Simplify (/ 1 1) into 1
5.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.922 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.922 * [backup-simplify]: Simplify 0 into 0
5.922 * [backup-simplify]: Simplify 0 into 0
5.922 * [backup-simplify]: Simplify 0 into 0
5.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.923 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.923 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.923 * [backup-simplify]: Simplify (+ 0 0) into 0
5.924 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.925 * [backup-simplify]: Simplify (- 0) into 0
5.925 * [backup-simplify]: Simplify (+ 0 0) into 0
5.925 * [taylor]: Taking taylor expansion of 0 in im
5.925 * [backup-simplify]: Simplify 0 into 0
5.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.928 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
5.928 * [backup-simplify]: Simplify 0 into 0
5.928 * [backup-simplify]: Simplify 0 into 0
5.928 * [backup-simplify]: Simplify 0 into 0
5.928 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1)
5.929 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow im 2) (pow re 2)))
5.929 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
5.929 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
5.929 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
5.929 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.929 * [taylor]: Taking taylor expansion of im in im
5.929 * [backup-simplify]: Simplify 0 into 0
5.929 * [backup-simplify]: Simplify 1 into 1
5.929 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.929 * [taylor]: Taking taylor expansion of re in im
5.929 * [backup-simplify]: Simplify re into re
5.929 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.929 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
5.930 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.930 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.930 * [backup-simplify]: Simplify (+ 0 0) into 0
5.930 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.930 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
5.930 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
5.930 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.930 * [taylor]: Taking taylor expansion of im in re
5.930 * [backup-simplify]: Simplify im into im
5.930 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.931 * [taylor]: Taking taylor expansion of re in re
5.931 * [backup-simplify]: Simplify 0 into 0
5.931 * [backup-simplify]: Simplify 1 into 1
5.931 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.931 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
5.931 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.931 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.931 * [backup-simplify]: Simplify (+ 0 0) into 0
5.932 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.932 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
5.932 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
5.932 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.932 * [taylor]: Taking taylor expansion of im in re
5.932 * [backup-simplify]: Simplify im into im
5.932 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.932 * [taylor]: Taking taylor expansion of re in re
5.932 * [backup-simplify]: Simplify 0 into 0
5.932 * [backup-simplify]: Simplify 1 into 1
5.932 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.932 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
5.932 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.932 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.932 * [backup-simplify]: Simplify (+ 0 0) into 0
5.933 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.933 * [taylor]: Taking taylor expansion of im in im
5.933 * [backup-simplify]: Simplify 0 into 0
5.933 * [backup-simplify]: Simplify 1 into 1
5.933 * [backup-simplify]: Simplify 0 into 0
5.933 * [taylor]: Taking taylor expansion of 0 in im
5.933 * [backup-simplify]: Simplify 0 into 0
5.933 * [backup-simplify]: Simplify 0 into 0
5.933 * [backup-simplify]: Simplify 1 into 1
5.933 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.933 * [backup-simplify]: Simplify (* 1 1) into 1
5.934 * [backup-simplify]: Simplify (+ 0 1) into 1
5.934 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
5.934 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
5.934 * [taylor]: Taking taylor expansion of 1/2 in im
5.934 * [backup-simplify]: Simplify 1/2 into 1/2
5.934 * [taylor]: Taking taylor expansion of im in im
5.934 * [backup-simplify]: Simplify 0 into 0
5.934 * [backup-simplify]: Simplify 1 into 1
5.934 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.935 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.935 * [backup-simplify]: Simplify 0 into 0
5.935 * [backup-simplify]: Simplify 0 into 0
5.935 * [backup-simplify]: Simplify 0 into 0
5.936 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
5.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.936 * [backup-simplify]: Simplify (+ 0 0) into 0
5.936 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
5.936 * [taylor]: Taking taylor expansion of 0 in im
5.936 * [backup-simplify]: Simplify 0 into 0
5.936 * [backup-simplify]: Simplify 0 into 0
5.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.937 * [backup-simplify]: Simplify 0 into 0
5.937 * [backup-simplify]: Simplify 0 into 0
5.937 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
5.937 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
5.937 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
5.937 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.937 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.937 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.937 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.937 * [taylor]: Taking taylor expansion of re in im
5.937 * [backup-simplify]: Simplify re into re
5.937 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.938 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.938 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.938 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.938 * [taylor]: Taking taylor expansion of im in im
5.938 * [backup-simplify]: Simplify 0 into 0
5.938 * [backup-simplify]: Simplify 1 into 1
5.938 * [backup-simplify]: Simplify (* 1 1) into 1
5.938 * [backup-simplify]: Simplify (/ 1 1) into 1
5.938 * [backup-simplify]: Simplify (+ 0 1) into 1
5.939 * [backup-simplify]: Simplify (sqrt 1) into 1
5.939 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.940 * [backup-simplify]: Simplify (+ 0 0) into 0
5.940 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.940 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.940 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.940 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.940 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.940 * [taylor]: Taking taylor expansion of re in re
5.940 * [backup-simplify]: Simplify 0 into 0
5.940 * [backup-simplify]: Simplify 1 into 1
5.940 * [backup-simplify]: Simplify (* 1 1) into 1
5.941 * [backup-simplify]: Simplify (/ 1 1) into 1
5.941 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.941 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.941 * [taylor]: Taking taylor expansion of im in re
5.941 * [backup-simplify]: Simplify im into im
5.941 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.941 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.941 * [backup-simplify]: Simplify (+ 1 0) into 1
5.941 * [backup-simplify]: Simplify (sqrt 1) into 1
5.942 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.943 * [backup-simplify]: Simplify (+ 0 0) into 0
5.943 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.943 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.943 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.943 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.943 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.943 * [taylor]: Taking taylor expansion of re in re
5.943 * [backup-simplify]: Simplify 0 into 0
5.943 * [backup-simplify]: Simplify 1 into 1
5.943 * [backup-simplify]: Simplify (* 1 1) into 1
5.944 * [backup-simplify]: Simplify (/ 1 1) into 1
5.944 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.944 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.944 * [taylor]: Taking taylor expansion of im in re
5.944 * [backup-simplify]: Simplify im into im
5.944 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.944 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.944 * [backup-simplify]: Simplify (+ 1 0) into 1
5.944 * [backup-simplify]: Simplify (sqrt 1) into 1
5.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.945 * [backup-simplify]: Simplify (+ 0 0) into 0
5.946 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.946 * [taylor]: Taking taylor expansion of 1 in im
5.946 * [backup-simplify]: Simplify 1 into 1
5.946 * [taylor]: Taking taylor expansion of 0 in im
5.946 * [backup-simplify]: Simplify 0 into 0
5.946 * [backup-simplify]: Simplify 1 into 1
5.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.947 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.949 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.949 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.949 * [taylor]: Taking taylor expansion of 1/2 in im
5.949 * [backup-simplify]: Simplify 1/2 into 1/2
5.949 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.949 * [taylor]: Taking taylor expansion of im in im
5.949 * [backup-simplify]: Simplify 0 into 0
5.949 * [backup-simplify]: Simplify 1 into 1
5.949 * [backup-simplify]: Simplify (* 1 1) into 1
5.949 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.950 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.950 * [backup-simplify]: Simplify 0 into 0
5.950 * [backup-simplify]: Simplify 0 into 0
5.950 * [backup-simplify]: Simplify 0 into 0
5.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.952 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.952 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.952 * [backup-simplify]: Simplify (+ 0 0) into 0
5.953 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.953 * [taylor]: Taking taylor expansion of 0 in im
5.953 * [backup-simplify]: Simplify 0 into 0
5.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.954 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.954 * [backup-simplify]: Simplify 0 into 0
5.954 * [backup-simplify]: Simplify 0 into 0
5.954 * [backup-simplify]: Simplify 0 into 0
5.954 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
5.954 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
5.954 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
5.954 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.954 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.954 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.954 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.954 * [taylor]: Taking taylor expansion of re in im
5.954 * [backup-simplify]: Simplify re into re
5.954 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.955 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.955 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.955 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.955 * [taylor]: Taking taylor expansion of im in im
5.955 * [backup-simplify]: Simplify 0 into 0
5.955 * [backup-simplify]: Simplify 1 into 1
5.955 * [backup-simplify]: Simplify (* 1 1) into 1
5.955 * [backup-simplify]: Simplify (/ 1 1) into 1
5.956 * [backup-simplify]: Simplify (+ 0 1) into 1
5.956 * [backup-simplify]: Simplify (sqrt 1) into 1
5.956 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.957 * [backup-simplify]: Simplify (+ 0 0) into 0
5.957 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.957 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.957 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.957 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.957 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.957 * [taylor]: Taking taylor expansion of re in re
5.957 * [backup-simplify]: Simplify 0 into 0
5.957 * [backup-simplify]: Simplify 1 into 1
5.958 * [backup-simplify]: Simplify (* 1 1) into 1
5.958 * [backup-simplify]: Simplify (/ 1 1) into 1
5.958 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.958 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.958 * [taylor]: Taking taylor expansion of im in re
5.958 * [backup-simplify]: Simplify im into im
5.958 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.959 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.959 * [backup-simplify]: Simplify (+ 1 0) into 1
5.959 * [backup-simplify]: Simplify (sqrt 1) into 1
5.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.960 * [backup-simplify]: Simplify (+ 0 0) into 0
5.961 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.961 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.961 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.961 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.961 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.961 * [taylor]: Taking taylor expansion of re in re
5.961 * [backup-simplify]: Simplify 0 into 0
5.961 * [backup-simplify]: Simplify 1 into 1
5.962 * [backup-simplify]: Simplify (* 1 1) into 1
5.962 * [backup-simplify]: Simplify (/ 1 1) into 1
5.962 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.962 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.962 * [taylor]: Taking taylor expansion of im in re
5.962 * [backup-simplify]: Simplify im into im
5.962 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.962 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.963 * [backup-simplify]: Simplify (+ 1 0) into 1
5.963 * [backup-simplify]: Simplify (sqrt 1) into 1
5.964 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.965 * [backup-simplify]: Simplify (+ 0 0) into 0
5.966 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.966 * [taylor]: Taking taylor expansion of 1 in im
5.966 * [backup-simplify]: Simplify 1 into 1
5.966 * [taylor]: Taking taylor expansion of 0 in im
5.966 * [backup-simplify]: Simplify 0 into 0
5.966 * [backup-simplify]: Simplify 1 into 1
6.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.337 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.338 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.338 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.338 * [taylor]: Taking taylor expansion of 1/2 in im
6.338 * [backup-simplify]: Simplify 1/2 into 1/2
6.338 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.338 * [taylor]: Taking taylor expansion of im in im
6.338 * [backup-simplify]: Simplify 0 into 0
6.338 * [backup-simplify]: Simplify 1 into 1
6.339 * [backup-simplify]: Simplify (* 1 1) into 1
6.339 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.341 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.341 * [backup-simplify]: Simplify 0 into 0
6.341 * [backup-simplify]: Simplify 0 into 0
6.341 * [backup-simplify]: Simplify 0 into 0
6.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.343 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.343 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.344 * [backup-simplify]: Simplify (+ 0 0) into 0
6.344 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.345 * [taylor]: Taking taylor expansion of 0 in im
6.345 * [backup-simplify]: Simplify 0 into 0
6.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.348 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.348 * [backup-simplify]: Simplify 0 into 0
6.348 * [backup-simplify]: Simplify 0 into 0
6.348 * [backup-simplify]: Simplify 0 into 0
6.348 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
6.348 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
6.349 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (exp (log (sqrt (+ (* re re) (* im im))))) re))) into (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))))
6.349 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in (re im) around 0
6.349 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in im
6.349 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.349 * [taylor]: Taking taylor expansion of 2.0 in im
6.349 * [backup-simplify]: Simplify 2.0 into 2.0
6.349 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.350 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.350 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im
6.350 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
6.350 * [taylor]: Taking taylor expansion of re in im
6.350 * [backup-simplify]: Simplify re into re
6.350 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
6.350 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
6.350 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.350 * [taylor]: Taking taylor expansion of im in im
6.350 * [backup-simplify]: Simplify 0 into 0
6.350 * [backup-simplify]: Simplify 1 into 1
6.350 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.350 * [taylor]: Taking taylor expansion of re in im
6.350 * [backup-simplify]: Simplify re into re
6.350 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.351 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
6.351 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.351 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.351 * [backup-simplify]: Simplify (+ 0 0) into 0
6.351 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.351 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
6.352 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re))
6.352 * [backup-simplify]: Simplify (+ 0 0) into 0
6.352 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
6.352 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re
6.352 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.352 * [taylor]: Taking taylor expansion of 2.0 in re
6.352 * [backup-simplify]: Simplify 2.0 into 2.0
6.353 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.353 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.353 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re
6.353 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
6.353 * [taylor]: Taking taylor expansion of re in re
6.353 * [backup-simplify]: Simplify 0 into 0
6.353 * [backup-simplify]: Simplify 1 into 1
6.353 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
6.353 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
6.354 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.354 * [taylor]: Taking taylor expansion of im in re
6.354 * [backup-simplify]: Simplify im into im
6.354 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.354 * [taylor]: Taking taylor expansion of re in re
6.354 * [backup-simplify]: Simplify 0 into 0
6.354 * [backup-simplify]: Simplify 1 into 1
6.354 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.354 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
6.354 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.354 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.355 * [backup-simplify]: Simplify (+ 0 0) into 0
6.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.355 * [backup-simplify]: Simplify (+ 0 im) into im
6.355 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
6.355 * [backup-simplify]: Simplify (+ 1 0) into 1
6.355 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
6.355 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re
6.356 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.356 * [taylor]: Taking taylor expansion of 2.0 in re
6.356 * [backup-simplify]: Simplify 2.0 into 2.0
6.356 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.357 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.357 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re
6.357 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
6.357 * [taylor]: Taking taylor expansion of re in re
6.357 * [backup-simplify]: Simplify 0 into 0
6.357 * [backup-simplify]: Simplify 1 into 1
6.357 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
6.357 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
6.357 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.357 * [taylor]: Taking taylor expansion of im in re
6.357 * [backup-simplify]: Simplify im into im
6.357 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.357 * [taylor]: Taking taylor expansion of re in re
6.357 * [backup-simplify]: Simplify 0 into 0
6.357 * [backup-simplify]: Simplify 1 into 1
6.357 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.357 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
6.357 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.358 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.358 * [backup-simplify]: Simplify (+ 0 0) into 0
6.358 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.358 * [backup-simplify]: Simplify (+ 0 im) into im
6.358 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
6.359 * [backup-simplify]: Simplify (+ 1 0) into 1
6.359 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
6.359 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
6.359 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
6.359 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.359 * [taylor]: Taking taylor expansion of 2.0 in im
6.359 * [backup-simplify]: Simplify 2.0 into 2.0
6.360 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.361 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.361 * [taylor]: Taking taylor expansion of (sqrt im) in im
6.361 * [taylor]: Taking taylor expansion of im in im
6.361 * [backup-simplify]: Simplify 0 into 0
6.361 * [backup-simplify]: Simplify 1 into 1
6.361 * [backup-simplify]: Simplify (sqrt 0) into 0
6.363 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.363 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
6.363 * [backup-simplify]: Simplify 0 into 0
6.364 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
6.364 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
6.364 * [taylor]: Taking taylor expansion of 1/2 in im
6.364 * [backup-simplify]: Simplify 1/2 into 1/2
6.364 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
6.364 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.364 * [taylor]: Taking taylor expansion of 2.0 in im
6.364 * [backup-simplify]: Simplify 2.0 into 2.0
6.365 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.365 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.365 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
6.365 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.365 * [taylor]: Taking taylor expansion of im in im
6.365 * [backup-simplify]: Simplify 0 into 0
6.365 * [backup-simplify]: Simplify 1 into 1
6.366 * [backup-simplify]: Simplify (/ 1 1) into 1
6.366 * [backup-simplify]: Simplify (sqrt 0) into 0
6.367 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.370 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
6.370 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
6.374 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
6.376 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.378 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
6.379 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.380 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.380 * [backup-simplify]: Simplify (* 1 1) into 1
6.381 * [backup-simplify]: Simplify (+ 0 1) into 1
6.381 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.382 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
6.382 * [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))))
6.383 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.384 * [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)))))
6.384 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
6.384 * [taylor]: Taking taylor expansion of 1/8 in im
6.385 * [backup-simplify]: Simplify 1/8 into 1/8
6.385 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
6.385 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.385 * [taylor]: Taking taylor expansion of 2.0 in im
6.385 * [backup-simplify]: Simplify 2.0 into 2.0
6.386 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.387 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.387 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
6.387 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
6.387 * [taylor]: Taking taylor expansion of (pow im 3) 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 (/ 1 1) into 1
6.388 * [backup-simplify]: Simplify (sqrt 0) into 0
6.390 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.395 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.396 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.399 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
6.401 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
6.402 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
6.407 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
6.408 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.413 * [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)))))))
6.414 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (exp (log (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)))))))
6.414 * [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
6.414 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im
6.414 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.414 * [taylor]: Taking taylor expansion of 2.0 in im
6.414 * [backup-simplify]: Simplify 2.0 into 2.0
6.415 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.415 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.415 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
6.415 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
6.416 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.416 * [taylor]: Taking taylor expansion of re in im
6.416 * [backup-simplify]: Simplify re into re
6.416 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.416 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.416 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.416 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.416 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.416 * [taylor]: Taking taylor expansion of re in im
6.416 * [backup-simplify]: Simplify re into re
6.416 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.416 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.416 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.416 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.416 * [taylor]: Taking taylor expansion of im in im
6.416 * [backup-simplify]: Simplify 0 into 0
6.416 * [backup-simplify]: Simplify 1 into 1
6.417 * [backup-simplify]: Simplify (* 1 1) into 1
6.417 * [backup-simplify]: Simplify (/ 1 1) into 1
6.418 * [backup-simplify]: Simplify (+ 0 1) into 1
6.418 * [backup-simplify]: Simplify (sqrt 1) into 1
6.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.420 * [backup-simplify]: Simplify (+ 0 0) into 0
6.420 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.421 * [backup-simplify]: Simplify (+ 0 1) into 1
6.421 * [backup-simplify]: Simplify (sqrt 0) into 0
6.423 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.423 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re
6.423 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.423 * [taylor]: Taking taylor expansion of 2.0 in re
6.423 * [backup-simplify]: Simplify 2.0 into 2.0
6.423 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.424 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
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
6.425 * [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
6.426 * [backup-simplify]: Simplify im into im
6.426 * [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
6.427 * [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
6.430 * [backup-simplify]: Simplify (+ 1 1) into 2
6.430 * [backup-simplify]: Simplify (sqrt 0) into 0
6.431 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
6.431 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re
6.431 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.431 * [taylor]: Taking taylor expansion of 2.0 in re
6.431 * [backup-simplify]: Simplify 2.0 into 2.0
6.432 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.432 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.432 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
6.433 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
6.433 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.433 * [taylor]: Taking taylor expansion of re in re
6.433 * [backup-simplify]: Simplify 0 into 0
6.433 * [backup-simplify]: Simplify 1 into 1
6.433 * [backup-simplify]: Simplify (/ 1 1) into 1
6.433 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.433 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.433 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.433 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.433 * [taylor]: Taking taylor expansion of re in re
6.433 * [backup-simplify]: Simplify 0 into 0
6.433 * [backup-simplify]: Simplify 1 into 1
6.434 * [backup-simplify]: Simplify (* 1 1) into 1
6.434 * [backup-simplify]: Simplify (/ 1 1) into 1
6.434 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.434 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.434 * [taylor]: Taking taylor expansion of im in re
6.434 * [backup-simplify]: Simplify im into im
6.434 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.434 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.435 * [backup-simplify]: Simplify (+ 1 0) into 1
6.435 * [backup-simplify]: Simplify (sqrt 1) into 1
6.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.437 * [backup-simplify]: Simplify (+ 0 0) into 0
6.438 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.438 * [backup-simplify]: Simplify (+ 1 1) into 2
6.438 * [backup-simplify]: Simplify (sqrt 0) into 0
6.440 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
6.440 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
6.440 * [taylor]: Taking taylor expansion of 0 in im
6.440 * [backup-simplify]: Simplify 0 into 0
6.442 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
6.442 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
6.442 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
6.442 * [taylor]: Taking taylor expansion of +nan.0 in im
6.442 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.442 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.443 * [taylor]: Taking taylor expansion of 2.0 in im
6.443 * [backup-simplify]: Simplify 2.0 into 2.0
6.443 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.444 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.444 * [backup-simplify]: Simplify 0 into 0
6.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.445 * [backup-simplify]: Simplify (+ 0 0) into 0
6.448 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.450 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.452 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
6.452 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
6.452 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
6.452 * [taylor]: Taking taylor expansion of +nan.0 in im
6.452 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.452 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.452 * [taylor]: Taking taylor expansion of 2.0 in im
6.452 * [backup-simplify]: Simplify 2.0 into 2.0
6.453 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.454 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
6.456 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.458 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.458 * [backup-simplify]: Simplify 0 into 0
6.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.461 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.462 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.462 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
6.464 * [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))
6.466 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.467 * [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))))))
6.467 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
6.467 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
6.467 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
6.467 * [taylor]: Taking taylor expansion of +nan.0 in im
6.468 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.468 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.468 * [taylor]: Taking taylor expansion of 2.0 in im
6.468 * [backup-simplify]: Simplify 2.0 into 2.0
6.468 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.469 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.469 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
6.469 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
6.469 * [taylor]: Taking taylor expansion of +nan.0 in im
6.469 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.469 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
6.469 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.469 * [taylor]: Taking taylor expansion of 2.0 in im
6.469 * [backup-simplify]: Simplify 2.0 into 2.0
6.469 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.470 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.470 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.470 * [taylor]: Taking taylor expansion of im in im
6.470 * [backup-simplify]: Simplify 0 into 0
6.470 * [backup-simplify]: Simplify 1 into 1
6.471 * [backup-simplify]: Simplify (* 1 1) into 1
6.472 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
6.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.473 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
6.474 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
6.474 * [backup-simplify]: Simplify (- 0) into 0
6.475 * [backup-simplify]: Simplify (+ 0 0) into 0
6.475 * [backup-simplify]: Simplify (- 0) into 0
6.475 * [backup-simplify]: Simplify 0 into 0
6.476 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
6.477 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.478 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.478 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
6.479 * [backup-simplify]: Simplify (- 0) into 0
6.479 * [backup-simplify]: Simplify 0 into 0
6.479 * [backup-simplify]: Simplify 0 into 0
6.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.480 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.481 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.483 * [backup-simplify]: Simplify (+ 0 0) into 0
6.484 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.484 * [backup-simplify]: Simplify (+ 0 0) into 0
6.485 * [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)))
6.486 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.487 * [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))))))
6.487 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
6.487 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
6.487 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
6.487 * [taylor]: Taking taylor expansion of +nan.0 in im
6.487 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.487 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.487 * [taylor]: Taking taylor expansion of 2.0 in im
6.487 * [backup-simplify]: Simplify 2.0 into 2.0
6.488 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.488 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.488 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
6.488 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
6.488 * [taylor]: Taking taylor expansion of +nan.0 in im
6.488 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.488 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
6.488 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.488 * [taylor]: Taking taylor expansion of 2.0 in im
6.488 * [backup-simplify]: Simplify 2.0 into 2.0
6.488 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.489 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.489 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.489 * [taylor]: Taking taylor expansion of im in im
6.489 * [backup-simplify]: Simplify 0 into 0
6.489 * [backup-simplify]: Simplify 1 into 1
6.489 * [backup-simplify]: Simplify (* 1 1) into 1
6.490 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
6.490 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.491 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
6.491 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
6.491 * [backup-simplify]: Simplify (- 0) into 0
6.492 * [backup-simplify]: Simplify (+ 0 0) into 0
6.492 * [backup-simplify]: Simplify (- 0) into 0
6.492 * [backup-simplify]: Simplify 0 into 0
6.492 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
6.493 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.495 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
6.495 * [backup-simplify]: Simplify (- 0) into 0
6.496 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
6.498 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
6.498 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.501 * [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))))))))
6.502 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (exp (log (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))))
6.502 * [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
6.502 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im
6.502 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.502 * [taylor]: Taking taylor expansion of 2.0 in im
6.502 * [backup-simplify]: Simplify 2.0 into 2.0
6.502 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.503 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im
6.503 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
6.503 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.503 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.503 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.503 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.503 * [taylor]: Taking taylor expansion of re in im
6.503 * [backup-simplify]: Simplify re into re
6.503 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.503 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.503 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.503 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.503 * [taylor]: Taking taylor expansion of im in im
6.503 * [backup-simplify]: Simplify 0 into 0
6.503 * [backup-simplify]: Simplify 1 into 1
6.503 * [backup-simplify]: Simplify (* 1 1) into 1
6.503 * [backup-simplify]: Simplify (/ 1 1) into 1
6.504 * [backup-simplify]: Simplify (+ 0 1) into 1
6.504 * [backup-simplify]: Simplify (sqrt 1) into 1
6.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.505 * [backup-simplify]: Simplify (+ 0 0) into 0
6.505 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.505 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.505 * [taylor]: Taking taylor expansion of re in im
6.505 * [backup-simplify]: Simplify re into re
6.505 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.506 * [backup-simplify]: Simplify (+ 1 0) into 1
6.506 * [backup-simplify]: Simplify (sqrt 0) into 0
6.507 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.507 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re
6.507 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.507 * [taylor]: Taking taylor expansion of 2.0 in re
6.507 * [backup-simplify]: Simplify 2.0 into 2.0
6.507 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.508 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.508 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
6.508 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
6.508 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.508 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.508 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.508 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.508 * [taylor]: Taking taylor expansion of re in re
6.508 * [backup-simplify]: Simplify 0 into 0
6.508 * [backup-simplify]: Simplify 1 into 1
6.508 * [backup-simplify]: Simplify (* 1 1) into 1
6.508 * [backup-simplify]: Simplify (/ 1 1) into 1
6.508 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.508 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.508 * [taylor]: Taking taylor expansion of im in re
6.508 * [backup-simplify]: Simplify im into im
6.508 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.509 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.509 * [backup-simplify]: Simplify (+ 1 0) into 1
6.509 * [backup-simplify]: Simplify (sqrt 1) into 1
6.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.510 * [backup-simplify]: Simplify (+ 0 0) into 0
6.511 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.511 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.511 * [taylor]: Taking taylor expansion of re in re
6.511 * [backup-simplify]: Simplify 0 into 0
6.511 * [backup-simplify]: Simplify 1 into 1
6.511 * [backup-simplify]: Simplify (/ 1 1) into 1
6.511 * [backup-simplify]: Simplify (- 1) into -1
6.511 * [backup-simplify]: Simplify (+ 1 -1) into 0
6.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.512 * [backup-simplify]: Simplify (- 0) into 0
6.512 * [backup-simplify]: Simplify (+ 0 0) into 0
6.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.513 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.514 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.515 * [backup-simplify]: Simplify (- 0) into 0
6.515 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
6.515 * [backup-simplify]: Simplify (sqrt 0) into 0
6.516 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
6.516 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re
6.516 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.516 * [taylor]: Taking taylor expansion of 2.0 in re
6.516 * [backup-simplify]: Simplify 2.0 into 2.0
6.516 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.517 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.517 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
6.517 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
6.517 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.517 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.517 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.517 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.517 * [taylor]: Taking taylor expansion of re in re
6.517 * [backup-simplify]: Simplify 0 into 0
6.517 * [backup-simplify]: Simplify 1 into 1
6.517 * [backup-simplify]: Simplify (* 1 1) into 1
6.518 * [backup-simplify]: Simplify (/ 1 1) into 1
6.518 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.518 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.518 * [taylor]: Taking taylor expansion of im in re
6.518 * [backup-simplify]: Simplify im into im
6.518 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.518 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.519 * [backup-simplify]: Simplify (+ 1 0) into 1
6.519 * [backup-simplify]: Simplify (sqrt 1) into 1
6.520 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.521 * [backup-simplify]: Simplify (+ 0 0) into 0
6.521 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.521 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.521 * [taylor]: Taking taylor expansion of re in re
6.521 * [backup-simplify]: Simplify 0 into 0
6.521 * [backup-simplify]: Simplify 1 into 1
6.521 * [backup-simplify]: Simplify (/ 1 1) into 1
6.522 * [backup-simplify]: Simplify (- 1) into -1
6.522 * [backup-simplify]: Simplify (+ 1 -1) into 0
6.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.523 * [backup-simplify]: Simplify (- 0) into 0
6.523 * [backup-simplify]: Simplify (+ 0 0) into 0
6.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.524 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.525 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.526 * [backup-simplify]: Simplify (- 0) into 0
6.526 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
6.526 * [backup-simplify]: Simplify (sqrt 0) into 0
6.526 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
6.527 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
6.527 * [taylor]: Taking taylor expansion of 0 in im
6.527 * [backup-simplify]: Simplify 0 into 0
6.528 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
6.528 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
6.528 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
6.528 * [taylor]: Taking taylor expansion of +nan.0 in im
6.528 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.528 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
6.528 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.528 * [taylor]: Taking taylor expansion of 2.0 in im
6.528 * [backup-simplify]: Simplify 2.0 into 2.0
6.528 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.528 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.528 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.528 * [taylor]: Taking taylor expansion of im in im
6.528 * [backup-simplify]: Simplify 0 into 0
6.528 * [backup-simplify]: Simplify 1 into 1
6.529 * [backup-simplify]: Simplify (* 1 1) into 1
6.529 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
6.530 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.530 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
6.531 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
6.531 * [backup-simplify]: Simplify (- 0) into 0
6.531 * [backup-simplify]: Simplify 0 into 0
6.531 * [backup-simplify]: Simplify 0 into 0
6.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.532 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.532 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.533 * [backup-simplify]: Simplify (+ 0 0) into 0
6.533 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.534 * [backup-simplify]: Simplify (- 0) into 0
6.534 * [backup-simplify]: Simplify (+ 0 0) into 0
6.535 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
6.535 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.536 * [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))))
6.536 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
6.536 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
6.536 * [taylor]: Taking taylor expansion of +nan.0 in im
6.536 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.536 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
6.536 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.536 * [taylor]: Taking taylor expansion of 2.0 in im
6.536 * [backup-simplify]: Simplify 2.0 into 2.0
6.536 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.537 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.537 * [taylor]: Taking taylor expansion of (pow im 4) in im
6.537 * [taylor]: Taking taylor expansion of im in im
6.537 * [backup-simplify]: Simplify 0 into 0
6.537 * [backup-simplify]: Simplify 1 into 1
6.537 * [backup-simplify]: Simplify (* 1 1) into 1
6.537 * [backup-simplify]: Simplify (* 1 1) into 1
6.538 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
6.538 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.539 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.540 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.542 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
6.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.544 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.545 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
6.546 * [backup-simplify]: Simplify (- 0) into 0
6.546 * [backup-simplify]: Simplify 0 into 0
6.547 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.549 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.550 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
6.550 * [backup-simplify]: Simplify (- 0) into 0
6.551 * [backup-simplify]: Simplify 0 into 0
6.551 * [backup-simplify]: Simplify 0 into 0
6.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.553 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.554 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
6.554 * [backup-simplify]: Simplify (+ 0 0) into 0
6.555 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
6.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.557 * [backup-simplify]: Simplify (- 0) into 0
6.557 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
6.558 * [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)))))
6.559 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.561 * [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))))))
6.561 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
6.561 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
6.561 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
6.561 * [taylor]: Taking taylor expansion of +nan.0 in im
6.561 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.561 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
6.561 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.561 * [taylor]: Taking taylor expansion of 2.0 in im
6.561 * [backup-simplify]: Simplify 2.0 into 2.0
6.562 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.562 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.562 * [taylor]: Taking taylor expansion of (pow im 4) in im
6.562 * [taylor]: Taking taylor expansion of im in im
6.562 * [backup-simplify]: Simplify 0 into 0
6.562 * [backup-simplify]: Simplify 1 into 1
6.563 * [backup-simplify]: Simplify (* 1 1) into 1
6.563 * [backup-simplify]: Simplify (* 1 1) into 1
6.564 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
6.564 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
6.564 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
6.564 * [taylor]: Taking taylor expansion of +nan.0 in im
6.564 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.564 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
6.564 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.564 * [taylor]: Taking taylor expansion of 2.0 in im
6.564 * [backup-simplify]: Simplify 2.0 into 2.0
6.565 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.565 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.565 * [taylor]: Taking taylor expansion of (pow im 6) in im
6.565 * [taylor]: Taking taylor expansion of im in im
6.565 * [backup-simplify]: Simplify 0 into 0
6.566 * [backup-simplify]: Simplify 1 into 1
6.566 * [backup-simplify]: Simplify (* 1 1) into 1
6.566 * [backup-simplify]: Simplify (* 1 1) into 1
6.567 * [backup-simplify]: Simplify (* 1 1) into 1
6.568 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
6.569 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.570 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.572 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
6.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.578 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.579 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.581 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
6.582 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.583 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.585 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.586 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
6.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.594 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
6.596 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
6.602 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.603 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
6.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.606 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.608 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.610 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.611 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.613 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
6.613 * [backup-simplify]: Simplify (- 0) into 0
6.613 * [backup-simplify]: Simplify (+ 0 0) into 0
6.614 * [backup-simplify]: Simplify (- 0) into 0
6.614 * [backup-simplify]: Simplify 0 into 0
6.614 * [backup-simplify]: Simplify 0 into 0
6.614 * * * [progress]: simplifying candidates
6.616 * [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 (exp (log (sqrt (+ (* re re) (* im im)))))) (exp re))
  (log (+ (exp (log (sqrt (+ (* re re) (* im im))))) re))
  (exp (+ (exp (log (sqrt (+ (* re re) (* im im))))) re))
  (* (cbrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)))
  (cbrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re))
  (* (* (+ (exp (log (sqrt (+ (* re re) (* im im))))) re) (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (+ (exp (log (sqrt (+ (* re re) (* im im))))) re))
  (sqrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re))
  (sqrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re))
  (+ (pow (exp (log (sqrt (+ (* re re) (* im im))))) 3) (pow re 3))
  (+ (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (- (* re re) (* (exp (log (sqrt (+ (* re re) (* im im))))) re)))
  (- (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (* re re))
  (- (exp (log (sqrt (+ (* re re) (* im im))))) re)
  (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)
  (exp 1/2)
  (exp 1)
  (exp (/ 1 2))
  (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im)))))))
  (exp (sqrt (log (sqrt (+ (* re re) (* im im))))))
  (exp 1)
  (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))))
  (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))
  (exp (log (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))))
  (exp (log (sqrt (cbrt (+ (* re re) (* im im))))))
  (exp (log (sqrt (sqrt (+ (* re re) (* im im))))))
  (exp (log (sqrt (sqrt (+ (* re re) (* im im))))))
  (exp (log (sqrt 1)))
  (exp (log (sqrt (+ (* re re) (* im im)))))
  (exp (log (sqrt (sqrt (+ (* re re) (* im im))))))
  (exp (log (sqrt (sqrt (+ (* re re) (* im im))))))
  (exp (log 1))
  (exp (log (sqrt (+ (* re re) (* im im)))))
  (exp (log (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (exp (log (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))
  (exp (log (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (exp (log (sqrt (- (* re re) (* im im)))))
  (log (exp (log (sqrt (+ (* re re) (* im im))))))
  (exp (exp (log (sqrt (+ (* re re) (* im im))))))
  (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))))
  (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))
  (* (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (+ (* re re) (* im im))))))
  (sqrt (exp (log (sqrt (+ (* re re) (* im im))))))
  (sqrt (exp (log (sqrt (+ (* re re) (* im im))))))
  (log (sqrt (* 2.0 (+ (exp (log (sqrt (+ (* re re) (* im im))))) re))))
  (exp (sqrt (* 2.0 (+ (exp (log (sqrt (+ (* re re) (* im im))))) re))))
  (* (cbrt (sqrt (* 2.0 (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (cbrt (sqrt (* 2.0 (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)))))
  (cbrt (sqrt (* 2.0 (+ (exp (log (sqrt (+ (* re re) (* im im))))) re))))
  (* (* (sqrt (* 2.0 (+ (exp (log (sqrt (+ (* re re) (* im im))))) re))) (sqrt (* 2.0 (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (sqrt (* 2.0 (+ (exp (log (sqrt (+ (* re re) (* im im))))) re))))
  (sqrt 2.0)
  (sqrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re))
  (sqrt (* 2.0 (+ (pow (exp (log (sqrt (+ (* re re) (* im im))))) 3) (pow re 3))))
  (sqrt (+ (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (- (* re re) (* (exp (log (sqrt (+ (* re re) (* im im))))) re))))
  (sqrt (* 2.0 (- (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (* re re))))
  (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re))
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* 2.0 (+ (exp (log (sqrt (+ (* re re) (* im im))))) re))))
  (sqrt (sqrt (* 2.0 (+ (exp (log (sqrt (+ (* re re) (* im im))))) re))))
  im
  re
  (* -1 re)
  (+ re im)
  (* 2 re)
  0
  im
  re
  (* -1 re)
  (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re)))))))
  (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
  0
6.619 * * [simplify]: iteration 0: 138 enodes
6.665 * * [simplify]: iteration 1: 302 enodes
6.785 * * [simplify]: iteration 2: 1026 enodes
7.132 * * [simplify]: iteration complete: 5000 enodes
7.132 * * [simplify]: Extracting #0: cost 49 inf + 0
7.134 * * [simplify]: Extracting #1: cost 389 inf + 88
7.141 * * [simplify]: Extracting #2: cost 1334 inf + 2580
7.161 * * [simplify]: Extracting #3: cost 1727 inf + 38431
7.224 * * [simplify]: Extracting #4: cost 789 inf + 221717
7.340 * * [simplify]: Extracting #5: cost 71 inf + 379366
7.472 * * [simplify]: Extracting #6: cost 8 inf + 394637
7.574 * * [simplify]: Extracting #7: cost 0 inf + 396981
7.657 * [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))))
  (* (+ (* im im) (* re re)) (sqrt (+ (* im im) (* re re))))
  (fabs (cbrt (+ (* im im) (* re re))))
  (sqrt (cbrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  1
  (sqrt (+ (* im im) (* re re)))
  (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im im) (* (* im im) (* im im)))))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (* (+ re im) (- re im)))
  1/2
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (exp (+ re (sqrt (+ (* im im) (* re re)))))
  (log (+ re (sqrt (+ (* im im) (* re re)))))
  (exp (+ re (sqrt (+ (* im im) (* re re)))))
  (* (cbrt (+ re (sqrt (+ (* im im) (* re re))))) (cbrt (+ re (sqrt (+ (* im im) (* re re))))))
  (cbrt (+ re (sqrt (+ (* im im) (* re re)))))
  (* (* (+ re (sqrt (+ (* im im) (* re re)))) (+ re (sqrt (+ (* im im) (* re re))))) (+ re (sqrt (+ (* im im) (* re re)))))
  (sqrt (+ re (sqrt (+ (* im im) (* re re)))))
  (sqrt (+ re (sqrt (+ (* im im) (* re re)))))
  (+ (* (+ (* im im) (* re re)) (sqrt (+ (* im im) (* re re)))) (* (* re re) re))
  (- (+ (+ (* im im) (* re re)) (* re re)) (* re (sqrt (+ (* im im) (* re re)))))
  (+ (* im im) 0)
  (- (sqrt (+ (* im im) (* re re))) re)
  (+ re (sqrt (+ (* im im) (* re re))))
  (sqrt E)
  E
  (sqrt E)
  (exp (* (cbrt (log (sqrt (+ (* im im) (* re re))))) (cbrt (log (sqrt (+ (* im im) (* re re)))))))
  (exp (sqrt (log (sqrt (+ (* im im) (* re re))))))
  E
  (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re)))))
  (cbrt (sqrt (+ (* 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 (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  1
  (sqrt (+ (* im im) (* re re)))
  (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im im) (* (* im im) (* im im)))))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (* (+ re im) (- re im)))
  (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))))
  (* (+ (* im im) (* re re)) (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (log (sqrt (* 2.0 (+ re (sqrt (+ (* im im) (* re re)))))))
  (exp (sqrt (* 2.0 (+ re (sqrt (+ (* im im) (* re re)))))))
  (* (cbrt (sqrt (* 2.0 (+ re (sqrt (+ (* im im) (* re re))))))) (cbrt (sqrt (* 2.0 (+ re (sqrt (+ (* im im) (* re re))))))))
  (cbrt (sqrt (* 2.0 (+ re (sqrt (+ (* im im) (* re re)))))))
  (* (sqrt (* 2.0 (+ re (sqrt (+ (* im im) (* re re)))))) (* 2.0 (+ re (sqrt (+ (* im im) (* re re))))))
  (sqrt 2.0)
  (sqrt (+ re (sqrt (+ (* im im) (* re re)))))
  (sqrt (* (+ (* (+ (* im im) (* re re)) (sqrt (+ (* im im) (* re re)))) (* (* re re) re)) 2.0))
  (sqrt (- (+ (+ (* im im) (* re re)) (* re re)) (* re (sqrt (+ (* im im) (* re re))))))
  (sqrt (* 2.0 (+ (* im im) 0)))
  (sqrt (- (sqrt (+ (* im im) (* re re))) re))
  1/2
  1/2
  (sqrt (sqrt (* 2.0 (+ re (sqrt (+ (* im im) (* re re)))))))
  (sqrt (sqrt (* 2.0 (+ re (sqrt (+ (* im im) (* re re)))))))
  im
  re
  (- re)
  (+ re im)
  (* 2 re)
  0
  im
  re
  (- re)
  (* (* +nan.0 (sqrt 2.0)) (+ (- (* re re)) (- im re)))
  (* +nan.0 (+ (- (/ (sqrt 2.0) re) (/ (sqrt 2.0) (* re re))) (- (sqrt 2.0))))
  0
7.665 * * * [progress]: adding candidates to table
8.124 * * [progress]: iteration 4 / 4
8.124 * * * [progress]: picking best candidate
8.177 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
8.178 * * * [progress]: localizing error
8.275 * * * [progress]: generating rewritten candidates
8.275 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1 1 1)
8.281 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1 1 2 1)
8.288 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1 1 1 1)
8.294 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2)
8.551 * * * [progress]: generating series expansions
8.551 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1 1 1)
8.552 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
8.552 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
8.552 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
8.552 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
8.552 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.552 * [taylor]: Taking taylor expansion of im in im
8.552 * [backup-simplify]: Simplify 0 into 0
8.552 * [backup-simplify]: Simplify 1 into 1
8.552 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.552 * [taylor]: Taking taylor expansion of re in im
8.552 * [backup-simplify]: Simplify re into re
8.552 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.552 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
8.552 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
8.552 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.553 * [backup-simplify]: Simplify (+ 0 0) into 0
8.553 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
8.553 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
8.554 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
8.554 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.554 * [taylor]: Taking taylor expansion of im in re
8.554 * [backup-simplify]: Simplify im into im
8.554 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.554 * [taylor]: Taking taylor expansion of re in re
8.554 * [backup-simplify]: Simplify 0 into 0
8.554 * [backup-simplify]: Simplify 1 into 1
8.554 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.554 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
8.554 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.554 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.555 * [backup-simplify]: Simplify (+ 0 0) into 0
8.555 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.555 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
8.555 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
8.555 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.555 * [taylor]: Taking taylor expansion of im in re
8.555 * [backup-simplify]: Simplify im into im
8.555 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.555 * [taylor]: Taking taylor expansion of re in re
8.555 * [backup-simplify]: Simplify 0 into 0
8.555 * [backup-simplify]: Simplify 1 into 1
8.555 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.555 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
8.555 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.555 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.556 * [backup-simplify]: Simplify (+ 0 0) into 0
8.556 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.556 * [taylor]: Taking taylor expansion of im in im
8.556 * [backup-simplify]: Simplify 0 into 0
8.556 * [backup-simplify]: Simplify 1 into 1
8.556 * [backup-simplify]: Simplify 0 into 0
8.556 * [taylor]: Taking taylor expansion of 0 in im
8.556 * [backup-simplify]: Simplify 0 into 0
8.556 * [backup-simplify]: Simplify 0 into 0
8.556 * [backup-simplify]: Simplify 1 into 1
8.557 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
8.557 * [backup-simplify]: Simplify (* 1 1) into 1
8.558 * [backup-simplify]: Simplify (+ 0 1) into 1
8.559 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
8.559 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
8.559 * [taylor]: Taking taylor expansion of 1/2 in im
8.559 * [backup-simplify]: Simplify 1/2 into 1/2
8.559 * [taylor]: Taking taylor expansion of im in im
8.559 * [backup-simplify]: Simplify 0 into 0
8.559 * [backup-simplify]: Simplify 1 into 1
8.559 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.560 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.560 * [backup-simplify]: Simplify 0 into 0
8.560 * [backup-simplify]: Simplify 0 into 0
8.560 * [backup-simplify]: Simplify 0 into 0
8.561 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
8.562 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.562 * [backup-simplify]: Simplify (+ 0 0) into 0
8.562 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
8.562 * [taylor]: Taking taylor expansion of 0 in im
8.562 * [backup-simplify]: Simplify 0 into 0
8.562 * [backup-simplify]: Simplify 0 into 0
8.563 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.563 * [backup-simplify]: Simplify 0 into 0
8.564 * [backup-simplify]: Simplify 0 into 0
8.564 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
8.564 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
8.564 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
8.564 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
8.564 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
8.564 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.564 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.564 * [taylor]: Taking taylor expansion of re in im
8.564 * [backup-simplify]: Simplify re into re
8.564 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.564 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.564 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.564 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.565 * [taylor]: Taking taylor expansion of im in im
8.565 * [backup-simplify]: Simplify 0 into 0
8.565 * [backup-simplify]: Simplify 1 into 1
8.565 * [backup-simplify]: Simplify (* 1 1) into 1
8.565 * [backup-simplify]: Simplify (/ 1 1) into 1
8.566 * [backup-simplify]: Simplify (+ 0 1) into 1
8.566 * [backup-simplify]: Simplify (sqrt 1) into 1
8.567 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.568 * [backup-simplify]: Simplify (+ 0 0) into 0
8.569 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.569 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.569 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.569 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.569 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.569 * [taylor]: Taking taylor expansion of re in re
8.569 * [backup-simplify]: Simplify 0 into 0
8.569 * [backup-simplify]: Simplify 1 into 1
8.570 * [backup-simplify]: Simplify (* 1 1) into 1
8.570 * [backup-simplify]: Simplify (/ 1 1) into 1
8.570 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.570 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.570 * [taylor]: Taking taylor expansion of im in re
8.570 * [backup-simplify]: Simplify im into im
8.570 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.570 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.571 * [backup-simplify]: Simplify (+ 1 0) into 1
8.571 * [backup-simplify]: Simplify (sqrt 1) into 1
8.572 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.574 * [backup-simplify]: Simplify (+ 0 0) into 0
8.574 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.574 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.574 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.574 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.574 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.574 * [taylor]: Taking taylor expansion of re in re
8.574 * [backup-simplify]: Simplify 0 into 0
8.575 * [backup-simplify]: Simplify 1 into 1
8.575 * [backup-simplify]: Simplify (* 1 1) into 1
8.575 * [backup-simplify]: Simplify (/ 1 1) into 1
8.575 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.575 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.575 * [taylor]: Taking taylor expansion of im in re
8.575 * [backup-simplify]: Simplify im into im
8.576 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.576 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.576 * [backup-simplify]: Simplify (+ 1 0) into 1
8.577 * [backup-simplify]: Simplify (sqrt 1) into 1
8.577 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.578 * [backup-simplify]: Simplify (+ 0 0) into 0
8.579 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.579 * [taylor]: Taking taylor expansion of 1 in im
8.579 * [backup-simplify]: Simplify 1 into 1
8.579 * [taylor]: Taking taylor expansion of 0 in im
8.579 * [backup-simplify]: Simplify 0 into 0
8.579 * [backup-simplify]: Simplify 1 into 1
8.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.582 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.583 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.583 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
8.583 * [taylor]: Taking taylor expansion of 1/2 in im
8.583 * [backup-simplify]: Simplify 1/2 into 1/2
8.583 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.583 * [taylor]: Taking taylor expansion of im in im
8.583 * [backup-simplify]: Simplify 0 into 0
8.583 * [backup-simplify]: Simplify 1 into 1
8.584 * [backup-simplify]: Simplify (* 1 1) into 1
8.584 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.585 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.586 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.586 * [backup-simplify]: Simplify 0 into 0
8.586 * [backup-simplify]: Simplify 0 into 0
8.586 * [backup-simplify]: Simplify 0 into 0
8.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.588 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.589 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.589 * [backup-simplify]: Simplify (+ 0 0) into 0
8.590 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.590 * [taylor]: Taking taylor expansion of 0 in im
8.590 * [backup-simplify]: Simplify 0 into 0
8.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.592 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.592 * [backup-simplify]: Simplify 0 into 0
8.592 * [backup-simplify]: Simplify 0 into 0
8.592 * [backup-simplify]: Simplify 0 into 0
8.592 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
8.592 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
8.592 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
8.593 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
8.593 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
8.593 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.593 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.593 * [taylor]: Taking taylor expansion of re in im
8.593 * [backup-simplify]: Simplify re into re
8.593 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.593 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.593 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.593 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.593 * [taylor]: Taking taylor expansion of im in im
8.593 * [backup-simplify]: Simplify 0 into 0
8.593 * [backup-simplify]: Simplify 1 into 1
8.594 * [backup-simplify]: Simplify (* 1 1) into 1
8.594 * [backup-simplify]: Simplify (/ 1 1) into 1
8.594 * [backup-simplify]: Simplify (+ 0 1) into 1
8.595 * [backup-simplify]: Simplify (sqrt 1) into 1
8.595 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.596 * [backup-simplify]: Simplify (+ 0 0) into 0
8.597 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.597 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.597 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.597 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.597 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.597 * [taylor]: Taking taylor expansion of re in re
8.597 * [backup-simplify]: Simplify 0 into 0
8.597 * [backup-simplify]: Simplify 1 into 1
8.597 * [backup-simplify]: Simplify (* 1 1) into 1
8.597 * [backup-simplify]: Simplify (/ 1 1) into 1
8.597 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.597 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.597 * [taylor]: Taking taylor expansion of im in re
8.597 * [backup-simplify]: Simplify im into im
8.598 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.598 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.598 * [backup-simplify]: Simplify (+ 1 0) into 1
8.598 * [backup-simplify]: Simplify (sqrt 1) into 1
8.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.599 * [backup-simplify]: Simplify (+ 0 0) into 0
8.600 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.600 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.600 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.600 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.600 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.600 * [taylor]: Taking taylor expansion of re in re
8.600 * [backup-simplify]: Simplify 0 into 0
8.600 * [backup-simplify]: Simplify 1 into 1
8.600 * [backup-simplify]: Simplify (* 1 1) into 1
8.600 * [backup-simplify]: Simplify (/ 1 1) into 1
8.600 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.600 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.600 * [taylor]: Taking taylor expansion of im in re
8.600 * [backup-simplify]: Simplify im into im
8.600 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.600 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.601 * [backup-simplify]: Simplify (+ 1 0) into 1
8.601 * [backup-simplify]: Simplify (sqrt 1) into 1
8.601 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.602 * [backup-simplify]: Simplify (+ 0 0) into 0
8.602 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.603 * [taylor]: Taking taylor expansion of 1 in im
8.603 * [backup-simplify]: Simplify 1 into 1
8.603 * [taylor]: Taking taylor expansion of 0 in im
8.603 * [backup-simplify]: Simplify 0 into 0
8.603 * [backup-simplify]: Simplify 1 into 1
8.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.604 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.605 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.605 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
8.605 * [taylor]: Taking taylor expansion of 1/2 in im
8.605 * [backup-simplify]: Simplify 1/2 into 1/2
8.605 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.605 * [taylor]: Taking taylor expansion of im in im
8.605 * [backup-simplify]: Simplify 0 into 0
8.605 * [backup-simplify]: Simplify 1 into 1
8.605 * [backup-simplify]: Simplify (* 1 1) into 1
8.605 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.606 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.606 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.606 * [backup-simplify]: Simplify 0 into 0
8.606 * [backup-simplify]: Simplify 0 into 0
8.606 * [backup-simplify]: Simplify 0 into 0
8.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.608 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.608 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.608 * [backup-simplify]: Simplify (+ 0 0) into 0
8.609 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.609 * [taylor]: Taking taylor expansion of 0 in im
8.609 * [backup-simplify]: Simplify 0 into 0
8.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.610 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.610 * [backup-simplify]: Simplify 0 into 0
8.610 * [backup-simplify]: Simplify 0 into 0
8.610 * [backup-simplify]: Simplify 0 into 0
8.610 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
8.610 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1 1 2 1)
8.610 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
8.610 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
8.610 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
8.610 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
8.610 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.610 * [taylor]: Taking taylor expansion of im in im
8.610 * [backup-simplify]: Simplify 0 into 0
8.610 * [backup-simplify]: Simplify 1 into 1
8.610 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.610 * [taylor]: Taking taylor expansion of re in im
8.610 * [backup-simplify]: Simplify re into re
8.610 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.611 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
8.611 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
8.611 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.611 * [backup-simplify]: Simplify (+ 0 0) into 0
8.611 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
8.611 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
8.611 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
8.611 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.611 * [taylor]: Taking taylor expansion of im in re
8.611 * [backup-simplify]: Simplify im into im
8.611 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.611 * [taylor]: Taking taylor expansion of re in re
8.611 * [backup-simplify]: Simplify 0 into 0
8.611 * [backup-simplify]: Simplify 1 into 1
8.611 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.611 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
8.611 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.611 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.612 * [backup-simplify]: Simplify (+ 0 0) into 0
8.612 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.612 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
8.612 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
8.612 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.612 * [taylor]: Taking taylor expansion of im in re
8.612 * [backup-simplify]: Simplify im into im
8.612 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.612 * [taylor]: Taking taylor expansion of re in re
8.612 * [backup-simplify]: Simplify 0 into 0
8.612 * [backup-simplify]: Simplify 1 into 1
8.612 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.612 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
8.612 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.612 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.613 * [backup-simplify]: Simplify (+ 0 0) into 0
8.613 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.613 * [taylor]: Taking taylor expansion of im in im
8.613 * [backup-simplify]: Simplify 0 into 0
8.613 * [backup-simplify]: Simplify 1 into 1
8.613 * [backup-simplify]: Simplify 0 into 0
8.613 * [taylor]: Taking taylor expansion of 0 in im
8.613 * [backup-simplify]: Simplify 0 into 0
8.613 * [backup-simplify]: Simplify 0 into 0
8.613 * [backup-simplify]: Simplify 1 into 1
8.613 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
8.613 * [backup-simplify]: Simplify (* 1 1) into 1
8.614 * [backup-simplify]: Simplify (+ 0 1) into 1
8.614 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
8.614 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
8.614 * [taylor]: Taking taylor expansion of 1/2 in im
8.614 * [backup-simplify]: Simplify 1/2 into 1/2
8.614 * [taylor]: Taking taylor expansion of im in im
8.614 * [backup-simplify]: Simplify 0 into 0
8.614 * [backup-simplify]: Simplify 1 into 1
8.615 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.615 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.615 * [backup-simplify]: Simplify 0 into 0
8.615 * [backup-simplify]: Simplify 0 into 0
8.615 * [backup-simplify]: Simplify 0 into 0
8.617 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
8.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.618 * [backup-simplify]: Simplify (+ 0 0) into 0
8.619 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
8.619 * [taylor]: Taking taylor expansion of 0 in im
8.619 * [backup-simplify]: Simplify 0 into 0
8.619 * [backup-simplify]: Simplify 0 into 0
8.619 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.619 * [backup-simplify]: Simplify 0 into 0
8.619 * [backup-simplify]: Simplify 0 into 0
8.619 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
8.620 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
8.620 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
8.620 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
8.620 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
8.620 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.620 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.620 * [taylor]: Taking taylor expansion of re in im
8.620 * [backup-simplify]: Simplify re into re
8.620 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.620 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.620 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.620 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.620 * [taylor]: Taking taylor expansion of im in im
8.620 * [backup-simplify]: Simplify 0 into 0
8.620 * [backup-simplify]: Simplify 1 into 1
8.620 * [backup-simplify]: Simplify (* 1 1) into 1
8.621 * [backup-simplify]: Simplify (/ 1 1) into 1
8.621 * [backup-simplify]: Simplify (+ 0 1) into 1
8.621 * [backup-simplify]: Simplify (sqrt 1) into 1
8.621 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.622 * [backup-simplify]: Simplify (+ 0 0) into 0
8.623 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.623 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.623 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.623 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.623 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.623 * [taylor]: Taking taylor expansion of re in re
8.623 * [backup-simplify]: Simplify 0 into 0
8.623 * [backup-simplify]: Simplify 1 into 1
8.623 * [backup-simplify]: Simplify (* 1 1) into 1
8.623 * [backup-simplify]: Simplify (/ 1 1) into 1
8.623 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.623 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.623 * [taylor]: Taking taylor expansion of im in re
8.623 * [backup-simplify]: Simplify im into im
8.623 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.624 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.624 * [backup-simplify]: Simplify (+ 1 0) into 1
8.624 * [backup-simplify]: Simplify (sqrt 1) into 1
8.625 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.626 * [backup-simplify]: Simplify (+ 0 0) into 0
8.627 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.627 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.627 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.627 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.627 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.627 * [taylor]: Taking taylor expansion of re in re
8.627 * [backup-simplify]: Simplify 0 into 0
8.627 * [backup-simplify]: Simplify 1 into 1
8.627 * [backup-simplify]: Simplify (* 1 1) into 1
8.628 * [backup-simplify]: Simplify (/ 1 1) into 1
8.628 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.628 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.628 * [taylor]: Taking taylor expansion of im in re
8.628 * [backup-simplify]: Simplify im into im
8.628 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.628 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.629 * [backup-simplify]: Simplify (+ 1 0) into 1
8.629 * [backup-simplify]: Simplify (sqrt 1) into 1
8.630 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.631 * [backup-simplify]: Simplify (+ 0 0) into 0
8.632 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.632 * [taylor]: Taking taylor expansion of 1 in im
8.632 * [backup-simplify]: Simplify 1 into 1
8.632 * [taylor]: Taking taylor expansion of 0 in im
8.632 * [backup-simplify]: Simplify 0 into 0
8.632 * [backup-simplify]: Simplify 1 into 1
8.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.634 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.635 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.635 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
8.635 * [taylor]: Taking taylor expansion of 1/2 in im
8.635 * [backup-simplify]: Simplify 1/2 into 1/2
8.635 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.636 * [taylor]: Taking taylor expansion of im in im
8.636 * [backup-simplify]: Simplify 0 into 0
8.636 * [backup-simplify]: Simplify 1 into 1
8.636 * [backup-simplify]: Simplify (* 1 1) into 1
8.636 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.637 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.638 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.638 * [backup-simplify]: Simplify 0 into 0
8.638 * [backup-simplify]: Simplify 0 into 0
8.638 * [backup-simplify]: Simplify 0 into 0
8.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.640 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.640 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.641 * [backup-simplify]: Simplify (+ 0 0) into 0
8.641 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.641 * [taylor]: Taking taylor expansion of 0 in im
8.641 * [backup-simplify]: Simplify 0 into 0
8.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.642 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.642 * [backup-simplify]: Simplify 0 into 0
8.642 * [backup-simplify]: Simplify 0 into 0
8.642 * [backup-simplify]: Simplify 0 into 0
8.642 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
8.643 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
8.643 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
8.643 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
8.643 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
8.643 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.643 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.643 * [taylor]: Taking taylor expansion of re in im
8.643 * [backup-simplify]: Simplify re into re
8.643 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.643 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.643 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.643 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.643 * [taylor]: Taking taylor expansion of im in im
8.643 * [backup-simplify]: Simplify 0 into 0
8.643 * [backup-simplify]: Simplify 1 into 1
8.643 * [backup-simplify]: Simplify (* 1 1) into 1
8.643 * [backup-simplify]: Simplify (/ 1 1) into 1
8.644 * [backup-simplify]: Simplify (+ 0 1) into 1
8.644 * [backup-simplify]: Simplify (sqrt 1) into 1
8.644 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.645 * [backup-simplify]: Simplify (+ 0 0) into 0
8.646 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.646 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.646 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.646 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.646 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.646 * [taylor]: Taking taylor expansion of re in re
8.646 * [backup-simplify]: Simplify 0 into 0
8.646 * [backup-simplify]: Simplify 1 into 1
8.646 * [backup-simplify]: Simplify (* 1 1) into 1
8.646 * [backup-simplify]: Simplify (/ 1 1) into 1
8.646 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.646 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.646 * [taylor]: Taking taylor expansion of im in re
8.646 * [backup-simplify]: Simplify im into im
8.646 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.646 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.647 * [backup-simplify]: Simplify (+ 1 0) into 1
8.647 * [backup-simplify]: Simplify (sqrt 1) into 1
8.647 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.648 * [backup-simplify]: Simplify (+ 0 0) into 0
8.648 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.648 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.648 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.648 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.649 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.649 * [taylor]: Taking taylor expansion of re in re
8.649 * [backup-simplify]: Simplify 0 into 0
8.649 * [backup-simplify]: Simplify 1 into 1
8.649 * [backup-simplify]: Simplify (* 1 1) into 1
8.649 * [backup-simplify]: Simplify (/ 1 1) into 1
8.649 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.649 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.649 * [taylor]: Taking taylor expansion of im in re
8.649 * [backup-simplify]: Simplify im into im
8.649 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.649 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.650 * [backup-simplify]: Simplify (+ 1 0) into 1
8.650 * [backup-simplify]: Simplify (sqrt 1) into 1
8.650 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.651 * [backup-simplify]: Simplify (+ 0 0) into 0
8.651 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.651 * [taylor]: Taking taylor expansion of 1 in im
8.651 * [backup-simplify]: Simplify 1 into 1
8.651 * [taylor]: Taking taylor expansion of 0 in im
8.651 * [backup-simplify]: Simplify 0 into 0
8.651 * [backup-simplify]: Simplify 1 into 1
8.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.653 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.653 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.653 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
8.653 * [taylor]: Taking taylor expansion of 1/2 in im
8.653 * [backup-simplify]: Simplify 1/2 into 1/2
8.653 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.654 * [taylor]: Taking taylor expansion of im in im
8.654 * [backup-simplify]: Simplify 0 into 0
8.654 * [backup-simplify]: Simplify 1 into 1
8.654 * [backup-simplify]: Simplify (* 1 1) into 1
8.654 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.654 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.655 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.655 * [backup-simplify]: Simplify 0 into 0
8.655 * [backup-simplify]: Simplify 0 into 0
8.655 * [backup-simplify]: Simplify 0 into 0
8.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.656 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.656 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.657 * [backup-simplify]: Simplify (+ 0 0) into 0
8.657 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.657 * [taylor]: Taking taylor expansion of 0 in im
8.657 * [backup-simplify]: Simplify 0 into 0
8.658 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.659 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.659 * [backup-simplify]: Simplify 0 into 0
8.659 * [backup-simplify]: Simplify 0 into 0
8.659 * [backup-simplify]: Simplify 0 into 0
8.659 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
8.659 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1 1 1 1)
8.659 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
8.659 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
8.659 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
8.659 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
8.659 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.659 * [taylor]: Taking taylor expansion of im in im
8.659 * [backup-simplify]: Simplify 0 into 0
8.659 * [backup-simplify]: Simplify 1 into 1
8.659 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.659 * [taylor]: Taking taylor expansion of re in im
8.659 * [backup-simplify]: Simplify re into re
8.659 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.659 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
8.659 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
8.659 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.660 * [backup-simplify]: Simplify (+ 0 0) into 0
8.660 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
8.660 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
8.660 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
8.660 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.660 * [taylor]: Taking taylor expansion of im in re
8.660 * [backup-simplify]: Simplify im into im
8.660 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.660 * [taylor]: Taking taylor expansion of re in re
8.660 * [backup-simplify]: Simplify 0 into 0
8.660 * [backup-simplify]: Simplify 1 into 1
8.660 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.660 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
8.660 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.660 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.661 * [backup-simplify]: Simplify (+ 0 0) into 0
8.661 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.661 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
8.661 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
8.661 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.661 * [taylor]: Taking taylor expansion of im in re
8.661 * [backup-simplify]: Simplify im into im
8.661 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.661 * [taylor]: Taking taylor expansion of re in re
8.661 * [backup-simplify]: Simplify 0 into 0
8.661 * [backup-simplify]: Simplify 1 into 1
8.661 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.661 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
8.662 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.662 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.662 * [backup-simplify]: Simplify (+ 0 0) into 0
8.662 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.662 * [taylor]: Taking taylor expansion of im in im
8.662 * [backup-simplify]: Simplify 0 into 0
8.662 * [backup-simplify]: Simplify 1 into 1
8.662 * [backup-simplify]: Simplify 0 into 0
8.663 * [taylor]: Taking taylor expansion of 0 in im
8.663 * [backup-simplify]: Simplify 0 into 0
8.663 * [backup-simplify]: Simplify 0 into 0
8.663 * [backup-simplify]: Simplify 1 into 1
8.663 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
8.664 * [backup-simplify]: Simplify (* 1 1) into 1
8.664 * [backup-simplify]: Simplify (+ 0 1) into 1
8.665 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
8.665 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
8.665 * [taylor]: Taking taylor expansion of 1/2 in im
8.665 * [backup-simplify]: Simplify 1/2 into 1/2
8.665 * [taylor]: Taking taylor expansion of im in im
8.665 * [backup-simplify]: Simplify 0 into 0
8.665 * [backup-simplify]: Simplify 1 into 1
8.665 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.666 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.666 * [backup-simplify]: Simplify 0 into 0
8.666 * [backup-simplify]: Simplify 0 into 0
8.667 * [backup-simplify]: Simplify 0 into 0
8.667 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
8.668 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.668 * [backup-simplify]: Simplify (+ 0 0) into 0
8.669 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
8.669 * [taylor]: Taking taylor expansion of 0 in im
8.669 * [backup-simplify]: Simplify 0 into 0
8.669 * [backup-simplify]: Simplify 0 into 0
8.670 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.670 * [backup-simplify]: Simplify 0 into 0
8.670 * [backup-simplify]: Simplify 0 into 0
8.670 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
8.670 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
8.670 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
8.670 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
8.670 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
8.670 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.670 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.671 * [taylor]: Taking taylor expansion of re in im
8.671 * [backup-simplify]: Simplify re into re
8.671 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.671 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.671 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.671 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.671 * [taylor]: Taking taylor expansion of im in im
8.671 * [backup-simplify]: Simplify 0 into 0
8.671 * [backup-simplify]: Simplify 1 into 1
8.671 * [backup-simplify]: Simplify (* 1 1) into 1
8.672 * [backup-simplify]: Simplify (/ 1 1) into 1
8.672 * [backup-simplify]: Simplify (+ 0 1) into 1
8.673 * [backup-simplify]: Simplify (sqrt 1) into 1
8.673 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.675 * [backup-simplify]: Simplify (+ 0 0) into 0
8.675 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.675 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.675 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.675 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.676 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.676 * [taylor]: Taking taylor expansion of re in re
8.676 * [backup-simplify]: Simplify 0 into 0
8.676 * [backup-simplify]: Simplify 1 into 1
8.676 * [backup-simplify]: Simplify (* 1 1) into 1
8.676 * [backup-simplify]: Simplify (/ 1 1) into 1
8.676 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.676 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.676 * [taylor]: Taking taylor expansion of im in re
8.677 * [backup-simplify]: Simplify im into im
8.677 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.677 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.677 * [backup-simplify]: Simplify (+ 1 0) into 1
8.678 * [backup-simplify]: Simplify (sqrt 1) into 1
8.678 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.679 * [backup-simplify]: Simplify (+ 0 0) into 0
8.680 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.680 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.680 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.680 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.680 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.680 * [taylor]: Taking taylor expansion of re in re
8.680 * [backup-simplify]: Simplify 0 into 0
8.680 * [backup-simplify]: Simplify 1 into 1
8.681 * [backup-simplify]: Simplify (* 1 1) into 1
8.681 * [backup-simplify]: Simplify (/ 1 1) into 1
8.681 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.681 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.681 * [taylor]: Taking taylor expansion of im in re
8.681 * [backup-simplify]: Simplify im into im
8.681 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.682 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.682 * [backup-simplify]: Simplify (+ 1 0) into 1
8.682 * [backup-simplify]: Simplify (sqrt 1) into 1
8.683 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.684 * [backup-simplify]: Simplify (+ 0 0) into 0
8.685 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.685 * [taylor]: Taking taylor expansion of 1 in im
8.685 * [backup-simplify]: Simplify 1 into 1
8.685 * [taylor]: Taking taylor expansion of 0 in im
8.685 * [backup-simplify]: Simplify 0 into 0
8.685 * [backup-simplify]: Simplify 1 into 1
8.686 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.687 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.689 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.689 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
8.689 * [taylor]: Taking taylor expansion of 1/2 in im
8.689 * [backup-simplify]: Simplify 1/2 into 1/2
8.689 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.689 * [taylor]: Taking taylor expansion of im in im
8.689 * [backup-simplify]: Simplify 0 into 0
8.689 * [backup-simplify]: Simplify 1 into 1
8.689 * [backup-simplify]: Simplify (* 1 1) into 1
8.690 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.690 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.691 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.691 * [backup-simplify]: Simplify 0 into 0
8.691 * [backup-simplify]: Simplify 0 into 0
8.691 * [backup-simplify]: Simplify 0 into 0
8.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.694 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.694 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.694 * [backup-simplify]: Simplify (+ 0 0) into 0
8.695 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.695 * [taylor]: Taking taylor expansion of 0 in im
8.695 * [backup-simplify]: Simplify 0 into 0
8.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.697 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.697 * [backup-simplify]: Simplify 0 into 0
8.697 * [backup-simplify]: Simplify 0 into 0
8.697 * [backup-simplify]: Simplify 0 into 0
8.697 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
8.698 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
8.698 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
8.698 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
8.698 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
8.698 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.698 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.698 * [taylor]: Taking taylor expansion of re in im
8.698 * [backup-simplify]: Simplify re into re
8.698 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.698 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.698 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.698 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.698 * [taylor]: Taking taylor expansion of im in im
8.698 * [backup-simplify]: Simplify 0 into 0
8.698 * [backup-simplify]: Simplify 1 into 1
8.699 * [backup-simplify]: Simplify (* 1 1) into 1
8.699 * [backup-simplify]: Simplify (/ 1 1) into 1
8.699 * [backup-simplify]: Simplify (+ 0 1) into 1
8.700 * [backup-simplify]: Simplify (sqrt 1) into 1
8.700 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.702 * [backup-simplify]: Simplify (+ 0 0) into 0
8.702 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.702 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.702 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.702 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.702 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.703 * [taylor]: Taking taylor expansion of re in re
8.703 * [backup-simplify]: Simplify 0 into 0
8.703 * [backup-simplify]: Simplify 1 into 1
8.703 * [backup-simplify]: Simplify (* 1 1) into 1
8.703 * [backup-simplify]: Simplify (/ 1 1) into 1
8.703 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.703 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.703 * [taylor]: Taking taylor expansion of im in re
8.703 * [backup-simplify]: Simplify im into im
8.704 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.704 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.704 * [backup-simplify]: Simplify (+ 1 0) into 1
8.705 * [backup-simplify]: Simplify (sqrt 1) into 1
8.705 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.706 * [backup-simplify]: Simplify (+ 0 0) into 0
8.707 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.707 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.707 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.707 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.707 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.707 * [taylor]: Taking taylor expansion of re in re
8.707 * [backup-simplify]: Simplify 0 into 0
8.707 * [backup-simplify]: Simplify 1 into 1
8.708 * [backup-simplify]: Simplify (* 1 1) into 1
8.708 * [backup-simplify]: Simplify (/ 1 1) into 1
8.708 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.708 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.708 * [taylor]: Taking taylor expansion of im in re
8.708 * [backup-simplify]: Simplify im into im
8.708 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.708 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.709 * [backup-simplify]: Simplify (+ 1 0) into 1
8.710 * [backup-simplify]: Simplify (sqrt 1) into 1
8.710 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.712 * [backup-simplify]: Simplify (+ 0 0) into 0
8.712 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.713 * [taylor]: Taking taylor expansion of 1 in im
8.713 * [backup-simplify]: Simplify 1 into 1
8.713 * [taylor]: Taking taylor expansion of 0 in im
8.713 * [backup-simplify]: Simplify 0 into 0
8.713 * [backup-simplify]: Simplify 1 into 1
8.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.715 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.716 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.716 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
8.716 * [taylor]: Taking taylor expansion of 1/2 in im
8.716 * [backup-simplify]: Simplify 1/2 into 1/2
8.716 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.716 * [taylor]: Taking taylor expansion of im in im
8.716 * [backup-simplify]: Simplify 0 into 0
8.716 * [backup-simplify]: Simplify 1 into 1
8.717 * [backup-simplify]: Simplify (* 1 1) into 1
8.717 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.719 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.719 * [backup-simplify]: Simplify 0 into 0
8.719 * [backup-simplify]: Simplify 0 into 0
8.719 * [backup-simplify]: Simplify 0 into 0
8.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.721 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.721 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.722 * [backup-simplify]: Simplify (+ 0 0) into 0
8.722 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.722 * [taylor]: Taking taylor expansion of 0 in im
8.722 * [backup-simplify]: Simplify 0 into 0
8.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.724 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.724 * [backup-simplify]: Simplify 0 into 0
8.724 * [backup-simplify]: Simplify 0 into 0
8.724 * [backup-simplify]: Simplify 0 into 0
8.725 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
8.725 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2)
8.726 * [backup-simplify]: Simplify (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2))))
8.726 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0
8.726 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
8.726 * [taylor]: Taking taylor expansion of re in im
8.726 * [backup-simplify]: Simplify re into re
8.726 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
8.726 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
8.726 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.726 * [taylor]: Taking taylor expansion of im in im
8.726 * [backup-simplify]: Simplify 0 into 0
8.726 * [backup-simplify]: Simplify 1 into 1
8.726 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.726 * [taylor]: Taking taylor expansion of re in im
8.726 * [backup-simplify]: Simplify re into re
8.726 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.726 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
8.726 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
8.726 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.727 * [backup-simplify]: Simplify (+ 0 0) into 0
8.727 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
8.727 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
8.727 * [taylor]: Taking taylor expansion of re in re
8.727 * [backup-simplify]: Simplify 0 into 0
8.727 * [backup-simplify]: Simplify 1 into 1
8.727 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
8.727 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
8.727 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.727 * [taylor]: Taking taylor expansion of im in re
8.727 * [backup-simplify]: Simplify im into im
8.727 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.727 * [taylor]: Taking taylor expansion of re in re
8.727 * [backup-simplify]: Simplify 0 into 0
8.727 * [backup-simplify]: Simplify 1 into 1
8.727 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.728 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
8.728 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.728 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.728 * [backup-simplify]: Simplify (+ 0 0) into 0
8.728 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.728 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
8.728 * [taylor]: Taking taylor expansion of re in re
8.729 * [backup-simplify]: Simplify 0 into 0
8.729 * [backup-simplify]: Simplify 1 into 1
8.729 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
8.729 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
8.729 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.729 * [taylor]: Taking taylor expansion of im in re
8.729 * [backup-simplify]: Simplify im into im
8.729 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.729 * [taylor]: Taking taylor expansion of re in re
8.729 * [backup-simplify]: Simplify 0 into 0
8.729 * [backup-simplify]: Simplify 1 into 1
8.729 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.729 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
8.729 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.729 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.730 * [backup-simplify]: Simplify (+ 0 0) into 0
8.730 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.730 * [backup-simplify]: Simplify (+ 0 im) into im
8.730 * [taylor]: Taking taylor expansion of im in im
8.730 * [backup-simplify]: Simplify 0 into 0
8.730 * [backup-simplify]: Simplify 1 into 1
8.730 * [backup-simplify]: Simplify 0 into 0
8.730 * [backup-simplify]: Simplify (+ 1 0) into 1
8.730 * [taylor]: Taking taylor expansion of 1 in im
8.730 * [backup-simplify]: Simplify 1 into 1
8.731 * [backup-simplify]: Simplify 1 into 1
8.731 * [backup-simplify]: Simplify 1 into 1
8.731 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
8.731 * [backup-simplify]: Simplify (* 1 1) into 1
8.732 * [backup-simplify]: Simplify (+ 0 1) into 1
8.733 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
8.733 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
8.733 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
8.733 * [taylor]: Taking taylor expansion of 1/2 in im
8.733 * [backup-simplify]: Simplify 1/2 into 1/2
8.733 * [taylor]: Taking taylor expansion of (/ 1 im) in im
8.733 * [taylor]: Taking taylor expansion of im in im
8.733 * [backup-simplify]: Simplify 0 into 0
8.733 * [backup-simplify]: Simplify 1 into 1
8.733 * [backup-simplify]: Simplify (/ 1 1) into 1
8.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.735 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.735 * [backup-simplify]: Simplify 0 into 0
8.735 * [backup-simplify]: Simplify 0 into 0
8.735 * [backup-simplify]: Simplify 0 into 0
8.736 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
8.736 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.737 * [backup-simplify]: Simplify (+ 0 0) into 0
8.737 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
8.737 * [backup-simplify]: Simplify (+ 0 0) into 0
8.737 * [taylor]: Taking taylor expansion of 0 in im
8.737 * [backup-simplify]: Simplify 0 into 0
8.737 * [backup-simplify]: Simplify 0 into 0
8.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.739 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
8.739 * [backup-simplify]: Simplify 0 into 0
8.739 * [backup-simplify]: Simplify 0 into 0
8.739 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
8.741 * [backup-simplify]: Simplify (+ (* (exp (log (* (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))))) (exp (log (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))
8.741 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
8.741 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
8.741 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.741 * [taylor]: Taking taylor expansion of re in im
8.741 * [backup-simplify]: Simplify re into re
8.741 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.741 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
8.741 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
8.741 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.741 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.741 * [taylor]: Taking taylor expansion of re in im
8.741 * [backup-simplify]: Simplify re into re
8.741 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.741 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.742 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.742 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.742 * [taylor]: Taking taylor expansion of im in im
8.742 * [backup-simplify]: Simplify 0 into 0
8.742 * [backup-simplify]: Simplify 1 into 1
8.742 * [backup-simplify]: Simplify (* 1 1) into 1
8.742 * [backup-simplify]: Simplify (/ 1 1) into 1
8.743 * [backup-simplify]: Simplify (+ 0 1) into 1
8.743 * [backup-simplify]: Simplify (sqrt 1) into 1
8.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.745 * [backup-simplify]: Simplify (+ 0 0) into 0
8.746 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.746 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
8.746 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.746 * [taylor]: Taking taylor expansion of re in re
8.746 * [backup-simplify]: Simplify 0 into 0
8.746 * [backup-simplify]: Simplify 1 into 1
8.746 * [backup-simplify]: Simplify (/ 1 1) into 1
8.746 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.746 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.746 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.747 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.747 * [taylor]: Taking taylor expansion of re in re
8.747 * [backup-simplify]: Simplify 0 into 0
8.747 * [backup-simplify]: Simplify 1 into 1
8.747 * [backup-simplify]: Simplify (* 1 1) into 1
8.747 * [backup-simplify]: Simplify (/ 1 1) into 1
8.747 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.747 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.747 * [taylor]: Taking taylor expansion of im in re
8.748 * [backup-simplify]: Simplify im into im
8.748 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.748 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.748 * [backup-simplify]: Simplify (+ 1 0) into 1
8.749 * [backup-simplify]: Simplify (sqrt 1) into 1
8.749 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.750 * [backup-simplify]: Simplify (+ 0 0) into 0
8.751 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.751 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
8.751 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.751 * [taylor]: Taking taylor expansion of re in re
8.751 * [backup-simplify]: Simplify 0 into 0
8.751 * [backup-simplify]: Simplify 1 into 1
8.752 * [backup-simplify]: Simplify (/ 1 1) into 1
8.752 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.752 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.752 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.752 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.752 * [taylor]: Taking taylor expansion of re in re
8.752 * [backup-simplify]: Simplify 0 into 0
8.752 * [backup-simplify]: Simplify 1 into 1
8.752 * [backup-simplify]: Simplify (* 1 1) into 1
8.753 * [backup-simplify]: Simplify (/ 1 1) into 1
8.753 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.753 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.753 * [taylor]: Taking taylor expansion of im in re
8.753 * [backup-simplify]: Simplify im into im
8.753 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.753 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.753 * [backup-simplify]: Simplify (+ 1 0) into 1
8.754 * [backup-simplify]: Simplify (sqrt 1) into 1
8.755 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.758 * [backup-simplify]: Simplify (+ 0 0) into 0
8.759 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.759 * [backup-simplify]: Simplify (+ 1 1) into 2
8.759 * [taylor]: Taking taylor expansion of 2 in im
8.759 * [backup-simplify]: Simplify 2 into 2
8.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.760 * [backup-simplify]: Simplify (+ 0 0) into 0
8.760 * [taylor]: Taking taylor expansion of 0 in im
8.760 * [backup-simplify]: Simplify 0 into 0
8.760 * [backup-simplify]: Simplify 2 into 2
8.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.762 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.764 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.765 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.765 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
8.765 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
8.765 * [taylor]: Taking taylor expansion of 1/2 in im
8.765 * [backup-simplify]: Simplify 1/2 into 1/2
8.765 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.765 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.765 * [taylor]: Taking taylor expansion of im in im
8.765 * [backup-simplify]: Simplify 0 into 0
8.765 * [backup-simplify]: Simplify 1 into 1
8.766 * [backup-simplify]: Simplify (* 1 1) into 1
8.766 * [backup-simplify]: Simplify (/ 1 1) into 1
8.767 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.768 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.768 * [backup-simplify]: Simplify 0 into 0
8.768 * [backup-simplify]: Simplify 0 into 0
8.769 * [backup-simplify]: Simplify 0 into 0
8.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.772 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.773 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.773 * [backup-simplify]: Simplify (+ 0 0) into 0
8.774 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.774 * [backup-simplify]: Simplify (+ 0 0) into 0
8.774 * [taylor]: Taking taylor expansion of 0 in im
8.774 * [backup-simplify]: Simplify 0 into 0
8.775 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.777 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
8.777 * [backup-simplify]: Simplify 0 into 0
8.777 * [backup-simplify]: Simplify 0 into 0
8.777 * [backup-simplify]: Simplify 0 into 0
8.777 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
8.779 * [backup-simplify]: Simplify (+ (* (exp (log (* (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))))) (exp (log (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))
8.779 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
8.779 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
8.779 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
8.779 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
8.779 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.779 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.779 * [taylor]: Taking taylor expansion of re in im
8.779 * [backup-simplify]: Simplify re into re
8.779 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.779 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.779 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.779 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.779 * [taylor]: Taking taylor expansion of im in im
8.779 * [backup-simplify]: Simplify 0 into 0
8.779 * [backup-simplify]: Simplify 1 into 1
8.780 * [backup-simplify]: Simplify (* 1 1) into 1
8.780 * [backup-simplify]: Simplify (/ 1 1) into 1
8.781 * [backup-simplify]: Simplify (+ 0 1) into 1
8.781 * [backup-simplify]: Simplify (sqrt 1) into 1
8.782 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.783 * [backup-simplify]: Simplify (+ 0 0) into 0
8.784 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.784 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.784 * [taylor]: Taking taylor expansion of re in im
8.784 * [backup-simplify]: Simplify re into re
8.784 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.784 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
8.784 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.784 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.784 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.784 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.784 * [taylor]: Taking taylor expansion of re in re
8.784 * [backup-simplify]: Simplify 0 into 0
8.784 * [backup-simplify]: Simplify 1 into 1
8.784 * [backup-simplify]: Simplify (* 1 1) into 1
8.785 * [backup-simplify]: Simplify (/ 1 1) into 1
8.785 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.785 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.785 * [taylor]: Taking taylor expansion of im in re
8.785 * [backup-simplify]: Simplify im into im
8.785 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.785 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.786 * [backup-simplify]: Simplify (+ 1 0) into 1
8.786 * [backup-simplify]: Simplify (sqrt 1) into 1
8.787 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.788 * [backup-simplify]: Simplify (+ 0 0) into 0
8.789 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.789 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.789 * [taylor]: Taking taylor expansion of re in re
8.789 * [backup-simplify]: Simplify 0 into 0
8.789 * [backup-simplify]: Simplify 1 into 1
8.789 * [backup-simplify]: Simplify (/ 1 1) into 1
8.789 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
8.789 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.789 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.789 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.789 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.789 * [taylor]: Taking taylor expansion of re in re
8.789 * [backup-simplify]: Simplify 0 into 0
8.789 * [backup-simplify]: Simplify 1 into 1
8.790 * [backup-simplify]: Simplify (* 1 1) into 1
8.790 * [backup-simplify]: Simplify (/ 1 1) into 1
8.790 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.790 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.790 * [taylor]: Taking taylor expansion of im in re
8.790 * [backup-simplify]: Simplify im into im
8.790 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.791 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.791 * [backup-simplify]: Simplify (+ 1 0) into 1
8.791 * [backup-simplify]: Simplify (sqrt 1) into 1
8.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.793 * [backup-simplify]: Simplify (+ 0 0) into 0
8.794 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.794 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.794 * [taylor]: Taking taylor expansion of re in re
8.794 * [backup-simplify]: Simplify 0 into 0
8.794 * [backup-simplify]: Simplify 1 into 1
8.794 * [backup-simplify]: Simplify (/ 1 1) into 1
8.795 * [backup-simplify]: Simplify (- 1) into -1
8.795 * [backup-simplify]: Simplify (+ 1 -1) into 0
8.795 * [taylor]: Taking taylor expansion of 0 in im
8.795 * [backup-simplify]: Simplify 0 into 0
8.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.796 * [backup-simplify]: Simplify (- 0) into 0
8.797 * [backup-simplify]: Simplify (+ 0 0) into 0
8.797 * [taylor]: Taking taylor expansion of 0 in im
8.797 * [backup-simplify]: Simplify 0 into 0
8.797 * [backup-simplify]: Simplify 0 into 0
8.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.799 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.800 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.802 * [backup-simplify]: Simplify (- 0) into 0
8.802 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
8.802 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
8.802 * [taylor]: Taking taylor expansion of 1/2 in im
8.802 * [backup-simplify]: Simplify 1/2 into 1/2
8.802 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.802 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.802 * [taylor]: Taking taylor expansion of im in im
8.802 * [backup-simplify]: Simplify 0 into 0
8.802 * [backup-simplify]: Simplify 1 into 1
8.802 * [backup-simplify]: Simplify (* 1 1) into 1
8.803 * [backup-simplify]: Simplify (/ 1 1) into 1
8.803 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.805 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.805 * [backup-simplify]: Simplify 0 into 0
8.805 * [backup-simplify]: Simplify 0 into 0
8.805 * [backup-simplify]: Simplify 0 into 0
8.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.807 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.807 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.808 * [backup-simplify]: Simplify (+ 0 0) into 0
8.808 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.810 * [backup-simplify]: Simplify (- 0) into 0
8.810 * [backup-simplify]: Simplify (+ 0 0) into 0
8.810 * [taylor]: Taking taylor expansion of 0 in im
8.810 * [backup-simplify]: Simplify 0 into 0
8.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.813 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
8.813 * [backup-simplify]: Simplify 0 into 0
8.813 * [backup-simplify]: Simplify 0 into 0
8.813 * [backup-simplify]: Simplify 0 into 0
8.813 * * * [progress]: simplifying candidates
8.815 * [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))))
  (* (exp (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im)))))))) (exp re))
  (log (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re))
  (exp (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re))
  (* (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re)) (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re)))
  (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re))
  (* (* (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re) (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re)) (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re))
  (sqrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re))
  (sqrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re))
  (+ (pow (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) 3) (pow re 3))
  (+ (* (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im)))))))) (- (* re re) (* (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re)))
  (- (* (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im)))))))) (* re re))
  (- (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  (+ re im)
  (* 2 re)
  0
8.818 * * [simplify]: iteration 0: 66 enodes
8.839 * * [simplify]: iteration 1: 170 enodes
8.883 * * [simplify]: iteration 2: 522 enodes
9.220 * * [simplify]: iteration 3: 2396 enodes
10.110 * * [simplify]: iteration complete: 5000 enodes
10.110 * * [simplify]: Extracting #0: cost 31 inf + 0
10.111 * * [simplify]: Extracting #1: cost 272 inf + 88
10.113 * * [simplify]: Extracting #2: cost 869 inf + 1159
10.121 * * [simplify]: Extracting #3: cost 1342 inf + 30705
10.165 * * [simplify]: Extracting #4: cost 714 inf + 267532
10.267 * * [simplify]: Extracting #5: cost 116 inf + 516861
10.381 * * [simplify]: Extracting #6: cost 48 inf + 542379
10.532 * * [simplify]: Extracting #7: cost 12 inf + 548049
10.663 * * [simplify]: Extracting #8: cost 0 inf + 551485
10.790 * [simplify]: Simplified to:
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (cbrt (+ (* re re) (* im im)))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im)))))
  (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im)))))
  (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* 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 (+ (* re re) (* im im)))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im)))))
  (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im)))))
  (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* 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 (+ (* re re) (* im im)))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im)))))
  (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im)))))
  (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im))))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (exp (+ re (sqrt (+ (* re re) (* im im)))))
  (log (+ re (sqrt (+ (* re re) (* im im)))))
  (exp (+ re (sqrt (+ (* re re) (* im im)))))
  (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im))))))
  (cbrt (+ re (sqrt (+ (* re re) (* im im)))))
  (* (* (+ re (sqrt (+ (* re re) (* im im)))) (+ re (sqrt (+ (* re re) (* im im))))) (+ re (sqrt (+ (* re re) (* im im)))))
  (sqrt (+ re (sqrt (+ (* re re) (* im im)))))
  (sqrt (+ re (sqrt (+ (* re re) (* im im)))))
  (+ (* re (* re re)) (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))))
  (+ (* (sqrt (+ (* re re) (* im im))) (- (sqrt (+ (* re re) (* im im))) re)) (* re re))
  (+ (* im im) 0)
  (- (sqrt (+ (* re re) (* im im))) re)
  im
  re
  (- re)
  im
  re
  (- re)
  im
  re
  (- re)
  (+ re im)
  (* re 2)
  0
10.801 * * * [progress]: adding candidates to table
11.338 * [progress]: [Phase 3 of 3] Extracting.
11.338 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re)) (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re))) (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log (- re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log re)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))>)
11.342 * * * [regime-changes]: Trying 7 branch expressions: ((* im im) (+ (sqrt (+ (* re re) (* im im))) re) (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) im re)
11.342 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re)) (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re))) (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log (- re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log re)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))>)
11.493 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re)) (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re))) (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log (- re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log re)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))>)
11.590 * * * * [regimes]: Trying to branch on (+ (sqrt (+ (* re re) (* im im))) re) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re)) (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re))) (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log (- re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log re)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))>)
11.705 * * * * [regimes]: Trying to branch on (+ (sqrt (+ (* re re) (* im im))) re) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 0))>)
11.749 * * * * [regimes]: Trying to branch on (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re)) (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re))) (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log (- re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log re)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))>)
11.839 * * * * [regimes]: Trying to branch on (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 0))>)
11.914 * * * * [regimes]: Trying to branch on (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re)) (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re))) (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log (- re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log re)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))>)
12.055 * * * * [regimes]: Trying to branch on (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 0))>)
12.131 * * * * [regimes]: Trying to branch on (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re)) (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re))) (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log (- re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log re)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))>)
12.276 * * * * [regimes]: Trying to branch on (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 0))>)
12.316 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re)) (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re))) (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log (- re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log re)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))>)
12.443 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re)) (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re))) (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log (- re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log re)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))>)
12.571 * * * [regime]: Found split indices: #<option (#s(si 3 113) #s(si 2 197) #s(si 9 255))>
12.571 * [binary-search]: Improving bounds with binary search for re and (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re)) (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re))) (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log (- re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log re)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))>)
12.723 * [regimes]: Found splitpoints: (#s(sp 3 re -9.064518896973367e-262) #s(sp 2 re 5.609857205188481e+85) #s(sp 9 re +nan.0)) , with alts (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re)) (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re))) (cbrt (+ (* (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log (- re))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 0))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log re)) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))>)
12.723 * [simplify]: Simplifying:
  (if (<= re -9.064518896973367e-262) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (if (<= re 5.609857205188481e+85) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* 0.5 (sqrt (* 2.0 (+ re re))))))
12.724 * * [simplify]: iteration 0: 30 enodes
12.726 * * [simplify]: iteration 1: 39 enodes
12.728 * * [simplify]: iteration 2: 40 enodes
12.731 * * [simplify]: iteration complete: 40 enodes
12.731 * * [simplify]: Extracting #0: cost 1 inf + 0
12.731 * * [simplify]: Extracting #1: cost 4 inf + 0
12.731 * * [simplify]: Extracting #2: cost 11 inf + 0
12.731 * * [simplify]: Extracting #3: cost 13 inf + 3
12.731 * * [simplify]: Extracting #4: cost 15 inf + 71
12.731 * * [simplify]: Extracting #5: cost 19 inf + 138
12.731 * * [simplify]: Extracting #6: cost 20 inf + 180
12.731 * * [simplify]: Extracting #7: cost 18 inf + 264
12.732 * * [simplify]: Extracting #8: cost 12 inf + 834
12.732 * * [simplify]: Extracting #9: cost 6 inf + 2128
12.733 * * [simplify]: Extracting #10: cost 4 inf + 2775
12.734 * * [simplify]: Extracting #11: cost 3 inf + 3058
12.735 * * [simplify]: Extracting #12: cost 1 inf + 3997
12.753 * * [simplify]: Extracting #13: cost 0 inf + 4983
12.754 * [simplify]: Simplified to:
  (if (<= re -9.064518896973367e-262) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (if (<= re 5.609857205188481e+85) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))) (* 0.5 (sqrt (* 2.0 (+ re re))))))
16.309 * [regime-testing]: Baseline error score: 38.57676898677488
16.323 * [regime-testing]: Oracle error score: 17.042291099994475
16.341 * [regime-testing]: End program error score: 26.27260694408415
16.522 * [regime-testing]: Target error score: 33.82097365259701