29.509 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.044 * * * [progress]: [2/2] Setting up program.
0.052 * [progress]: [Phase 2 of 3] Improving.
0.052 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
0.052 * * [simplify]: iteration 0: 12 enodes
0.056 * * [simplify]: iteration 1: 22 enodes
0.079 * * [simplify]: iteration 2: 24 enodes
0.082 * * [simplify]: iteration complete: 24 enodes
0.082 * * [simplify]: Extracting #0: cost 1 inf + 0
0.082 * * [simplify]: Extracting #1: cost 3 inf + 0
0.082 * * [simplify]: Extracting #2: cost 3 inf + 1
0.082 * * [simplify]: Extracting #3: cost 7 inf + 1
0.082 * * [simplify]: Extracting #4: cost 8 inf + 2
0.082 * * [simplify]: Extracting #5: cost 8 inf + 3
0.082 * * [simplify]: Extracting #6: cost 9 inf + 45
0.082 * * [simplify]: Extracting #7: cost 9 inf + 86
0.082 * * [simplify]: Extracting #8: cost 7 inf + 128
0.082 * * [simplify]: Extracting #9: cost 5 inf + 412
0.082 * * [simplify]: Extracting #10: cost 2 inf + 1060
0.083 * * [simplify]: Extracting #11: cost 0 inf + 1667
0.083 * [simplify]: Simplified to:
  (* 0.5 (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2.0)))
0.084 * * [progress]: iteration 1 / 4
0.084 * * * [progress]: picking best candidate
0.088 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))>
0.088 * * * [progress]: localizing error
0.113 * * * [progress]: generating rewritten candidates
0.113 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1)
0.125 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2)
0.162 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2)
0.214 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1)
0.228 * * * [progress]: generating series expansions
0.228 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1)
0.229 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
0.229 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
0.229 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.229 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.229 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.229 * [taylor]: Taking taylor expansion of im in im
0.229 * [backup-simplify]: Simplify 0 into 0
0.229 * [backup-simplify]: Simplify 1 into 1
0.229 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.229 * [taylor]: Taking taylor expansion of re in im
0.229 * [backup-simplify]: Simplify re into re
0.229 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.229 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.230 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.230 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.230 * [backup-simplify]: Simplify (+ 0 0) into 0
0.230 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.231 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.231 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.231 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.231 * [taylor]: Taking taylor expansion of im in re
0.231 * [backup-simplify]: Simplify im into im
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
0.231 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.231 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.231 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.231 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.232 * [backup-simplify]: Simplify (+ 0 0) into 0
0.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.232 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.232 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 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 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.232 * [taylor]: Taking taylor expansion of re in re
0.232 * [backup-simplify]: Simplify 0 into 0
0.232 * [backup-simplify]: Simplify 1 into 1
0.232 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.232 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.233 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.233 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.233 * [backup-simplify]: Simplify (+ 0 0) into 0
0.233 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.233 * [taylor]: Taking taylor expansion of im in im
0.233 * [backup-simplify]: Simplify 0 into 0
0.233 * [backup-simplify]: Simplify 1 into 1
0.233 * [backup-simplify]: Simplify 0 into 0
0.234 * [taylor]: Taking taylor expansion of 0 in im
0.234 * [backup-simplify]: Simplify 0 into 0
0.234 * [backup-simplify]: Simplify 0 into 0
0.234 * [backup-simplify]: Simplify 1 into 1
0.234 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.235 * [backup-simplify]: Simplify (* 1 1) into 1
0.235 * [backup-simplify]: Simplify (+ 0 1) into 1
0.236 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.236 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.236 * [taylor]: Taking taylor expansion of 1/2 in im
0.236 * [backup-simplify]: Simplify 1/2 into 1/2
0.236 * [taylor]: Taking taylor expansion of im in im
0.236 * [backup-simplify]: Simplify 0 into 0
0.236 * [backup-simplify]: Simplify 1 into 1
0.236 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.237 * [backup-simplify]: Simplify 0 into 0
0.237 * [backup-simplify]: Simplify 0 into 0
0.237 * [backup-simplify]: Simplify 0 into 0
0.238 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.239 * [backup-simplify]: Simplify (+ 0 0) into 0
0.240 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.240 * [taylor]: Taking taylor expansion of 0 in im
0.240 * [backup-simplify]: Simplify 0 into 0
0.240 * [backup-simplify]: Simplify 0 into 0
0.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.241 * [backup-simplify]: Simplify 0 into 0
0.241 * [backup-simplify]: Simplify 0 into 0
0.241 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.241 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
0.241 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
0.241 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.241 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.241 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.241 * [taylor]: Taking taylor expansion of re in im
0.242 * [backup-simplify]: Simplify re into re
0.242 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.242 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.242 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.242 * [taylor]: Taking taylor expansion of im in im
0.242 * [backup-simplify]: Simplify 0 into 0
0.242 * [backup-simplify]: Simplify 1 into 1
0.242 * [backup-simplify]: Simplify (* 1 1) into 1
0.243 * [backup-simplify]: Simplify (/ 1 1) into 1
0.243 * [backup-simplify]: Simplify (+ 0 1) into 1
0.244 * [backup-simplify]: Simplify (sqrt 1) into 1
0.244 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.245 * [backup-simplify]: Simplify (+ 0 0) into 0
0.246 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.246 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.246 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.246 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.246 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.246 * [taylor]: Taking taylor expansion of re in re
0.246 * [backup-simplify]: Simplify 0 into 0
0.246 * [backup-simplify]: Simplify 1 into 1
0.247 * [backup-simplify]: Simplify (* 1 1) into 1
0.247 * [backup-simplify]: Simplify (/ 1 1) into 1
0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.247 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.247 * [taylor]: Taking taylor expansion of im in re
0.247 * [backup-simplify]: Simplify im into im
0.247 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.248 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.248 * [backup-simplify]: Simplify (+ 1 0) into 1
0.248 * [backup-simplify]: Simplify (sqrt 1) into 1
0.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.250 * [backup-simplify]: Simplify (+ 0 0) into 0
0.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.251 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.251 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.251 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.251 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.251 * [taylor]: Taking taylor expansion of re in re
0.251 * [backup-simplify]: Simplify 0 into 0
0.251 * [backup-simplify]: Simplify 1 into 1
0.252 * [backup-simplify]: Simplify (* 1 1) into 1
0.252 * [backup-simplify]: Simplify (/ 1 1) into 1
0.252 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.252 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.252 * [taylor]: Taking taylor expansion of im in re
0.252 * [backup-simplify]: Simplify im into im
0.252 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.252 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.253 * [backup-simplify]: Simplify (+ 1 0) into 1
0.253 * [backup-simplify]: Simplify (sqrt 1) into 1
0.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.255 * [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 1 in im
0.256 * [backup-simplify]: Simplify 1 into 1
0.256 * [taylor]: Taking taylor expansion of 0 in im
0.256 * [backup-simplify]: Simplify 0 into 0
0.256 * [backup-simplify]: Simplify 1 into 1
0.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.258 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.259 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.260 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.260 * [taylor]: Taking taylor expansion of 1/2 in im
0.260 * [backup-simplify]: Simplify 1/2 into 1/2
0.260 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.260 * [taylor]: Taking taylor expansion of im in im
0.260 * [backup-simplify]: Simplify 0 into 0
0.260 * [backup-simplify]: Simplify 1 into 1
0.260 * [backup-simplify]: Simplify (* 1 1) into 1
0.260 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.261 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.262 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.262 * [backup-simplify]: Simplify 0 into 0
0.262 * [backup-simplify]: Simplify 0 into 0
0.262 * [backup-simplify]: Simplify 0 into 0
0.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.264 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.265 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.265 * [backup-simplify]: Simplify (+ 0 0) into 0
0.266 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.266 * [taylor]: Taking taylor expansion of 0 in im
0.266 * [backup-simplify]: Simplify 0 into 0
0.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.268 * [backup-simplify]: Simplify 0 into 0
0.268 * [backup-simplify]: Simplify 0 into 0
0.268 * [backup-simplify]: Simplify 0 into 0
0.268 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.269 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
0.269 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
0.269 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.269 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.269 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.269 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.269 * [taylor]: Taking taylor expansion of re in im
0.269 * [backup-simplify]: Simplify re into re
0.269 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.269 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.269 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
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 1) into 1
0.270 * [backup-simplify]: Simplify (+ 0 1) into 1
0.271 * [backup-simplify]: Simplify (sqrt 1) into 1
0.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.273 * [backup-simplify]: Simplify (+ 0 0) into 0
0.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.273 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.273 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.273 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.273 * [taylor]: Taking taylor expansion of re in re
0.273 * [backup-simplify]: Simplify 0 into 0
0.274 * [backup-simplify]: Simplify 1 into 1
0.274 * [backup-simplify]: Simplify (* 1 1) into 1
0.274 * [backup-simplify]: Simplify (/ 1 1) into 1
0.274 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.274 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.274 * [taylor]: Taking taylor expansion of im in re
0.274 * [backup-simplify]: Simplify im into im
0.275 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.275 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.275 * [backup-simplify]: Simplify (+ 1 0) into 1
0.276 * [backup-simplify]: Simplify (sqrt 1) into 1
0.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.277 * [backup-simplify]: Simplify (+ 0 0) into 0
0.278 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.279 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.279 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.279 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.279 * [taylor]: Taking taylor expansion of re in re
0.279 * [backup-simplify]: Simplify 0 into 0
0.279 * [backup-simplify]: Simplify 1 into 1
0.279 * [backup-simplify]: Simplify (* 1 1) into 1
0.279 * [backup-simplify]: Simplify (/ 1 1) into 1
0.280 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.280 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.280 * [taylor]: Taking taylor expansion of im in re
0.280 * [backup-simplify]: Simplify im into im
0.280 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.280 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.280 * [backup-simplify]: Simplify (+ 1 0) into 1
0.281 * [backup-simplify]: Simplify (sqrt 1) into 1
0.281 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.283 * [backup-simplify]: Simplify (+ 0 0) into 0
0.283 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.283 * [taylor]: Taking taylor expansion of 1 in im
0.284 * [backup-simplify]: Simplify 1 into 1
0.284 * [taylor]: Taking taylor expansion of 0 in im
0.284 * [backup-simplify]: Simplify 0 into 0
0.284 * [backup-simplify]: Simplify 1 into 1
0.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.286 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.287 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.287 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.287 * [taylor]: Taking taylor expansion of 1/2 in im
0.287 * [backup-simplify]: Simplify 1/2 into 1/2
0.287 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.287 * [taylor]: Taking taylor expansion of im in im
0.287 * [backup-simplify]: Simplify 0 into 0
0.287 * [backup-simplify]: Simplify 1 into 1
0.288 * [backup-simplify]: Simplify (* 1 1) into 1
0.288 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.289 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.290 * [backup-simplify]: Simplify 0 into 0
0.290 * [backup-simplify]: Simplify 0 into 0
0.290 * [backup-simplify]: Simplify 0 into 0
0.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.292 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.293 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.293 * [backup-simplify]: Simplify (+ 0 0) into 0
0.294 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.294 * [taylor]: Taking taylor expansion of 0 in im
0.294 * [backup-simplify]: Simplify 0 into 0
0.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.296 * [backup-simplify]: Simplify 0 into 0
0.296 * [backup-simplify]: Simplify 0 into 0
0.296 * [backup-simplify]: Simplify 0 into 0
0.296 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.296 * * * * [progress]: [ 2 / 4 ] generating series at (2 2)
0.297 * [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))))))
0.297 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in (re im) around 0
0.297 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in im
0.297 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.297 * [taylor]: Taking taylor expansion of 2.0 in im
0.297 * [backup-simplify]: Simplify 2.0 into 2.0
0.297 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.298 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.298 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im
0.298 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
0.298 * [taylor]: Taking taylor expansion of re in im
0.298 * [backup-simplify]: Simplify re into re
0.298 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.298 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.298 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.298 * [taylor]: Taking taylor expansion of im in im
0.298 * [backup-simplify]: Simplify 0 into 0
0.298 * [backup-simplify]: Simplify 1 into 1
0.298 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.298 * [taylor]: Taking taylor expansion of re in im
0.298 * [backup-simplify]: Simplify re into re
0.298 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.299 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.299 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.299 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.299 * [backup-simplify]: Simplify (+ 0 0) into 0
0.299 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.300 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
0.300 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re))
0.300 * [backup-simplify]: Simplify (+ 0 0) into 0
0.300 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
0.300 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re
0.300 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.300 * [taylor]: Taking taylor expansion of 2.0 in re
0.300 * [backup-simplify]: Simplify 2.0 into 2.0
0.301 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.301 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.301 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re
0.301 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.301 * [taylor]: Taking taylor expansion of re in re
0.301 * [backup-simplify]: Simplify 0 into 0
0.302 * [backup-simplify]: Simplify 1 into 1
0.302 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.302 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.302 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.302 * [taylor]: Taking taylor expansion of im in re
0.302 * [backup-simplify]: Simplify im into im
0.302 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.302 * [taylor]: Taking taylor expansion of re in re
0.302 * [backup-simplify]: Simplify 0 into 0
0.302 * [backup-simplify]: Simplify 1 into 1
0.302 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.302 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.302 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.302 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.303 * [backup-simplify]: Simplify (+ 0 0) into 0
0.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.303 * [backup-simplify]: Simplify (+ 0 im) into im
0.303 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.304 * [backup-simplify]: Simplify (+ 1 0) into 1
0.304 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.304 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re
0.304 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.304 * [taylor]: Taking taylor expansion of 2.0 in re
0.304 * [backup-simplify]: Simplify 2.0 into 2.0
0.304 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.305 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re
0.305 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.305 * [taylor]: Taking taylor expansion of re in re
0.305 * [backup-simplify]: Simplify 0 into 0
0.305 * [backup-simplify]: Simplify 1 into 1
0.305 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.305 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 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 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.305 * [taylor]: Taking taylor expansion of re in re
0.305 * [backup-simplify]: Simplify 0 into 0
0.305 * [backup-simplify]: Simplify 1 into 1
0.306 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.306 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.306 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.306 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.306 * [backup-simplify]: Simplify (+ 0 0) into 0
0.307 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.307 * [backup-simplify]: Simplify (+ 0 im) into im
0.307 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.307 * [backup-simplify]: Simplify (+ 1 0) into 1
0.307 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.308 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
0.308 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
0.308 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.308 * [taylor]: Taking taylor expansion of 2.0 in im
0.308 * [backup-simplify]: Simplify 2.0 into 2.0
0.308 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.309 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.309 * [taylor]: Taking taylor expansion of (sqrt im) in im
0.309 * [taylor]: Taking taylor expansion of im in im
0.309 * [backup-simplify]: Simplify 0 into 0
0.309 * [backup-simplify]: Simplify 1 into 1
0.310 * [backup-simplify]: Simplify (sqrt 0) into 0
0.311 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.312 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.312 * [backup-simplify]: Simplify 0 into 0
0.312 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
0.312 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
0.313 * [taylor]: Taking taylor expansion of 1/2 in im
0.313 * [backup-simplify]: Simplify 1/2 into 1/2
0.313 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
0.313 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.313 * [taylor]: Taking taylor expansion of 2.0 in im
0.313 * [backup-simplify]: Simplify 2.0 into 2.0
0.313 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.314 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.314 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
0.314 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.314 * [taylor]: Taking taylor expansion of im in im
0.314 * [backup-simplify]: Simplify 0 into 0
0.314 * [backup-simplify]: Simplify 1 into 1
0.314 * [backup-simplify]: Simplify (/ 1 1) into 1
0.315 * [backup-simplify]: Simplify (sqrt 0) into 0
0.316 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.318 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.319 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.323 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.324 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.327 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.328 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.329 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.329 * [backup-simplify]: Simplify (* 1 1) into 1
0.330 * [backup-simplify]: Simplify (+ 0 1) into 1
0.331 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.331 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.332 * [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))))
0.333 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.334 * [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)))))
0.334 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
0.334 * [taylor]: Taking taylor expansion of 1/8 in im
0.334 * [backup-simplify]: Simplify 1/8 into 1/8
0.334 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
0.334 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.334 * [taylor]: Taking taylor expansion of 2.0 in im
0.334 * [backup-simplify]: Simplify 2.0 into 2.0
0.334 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.335 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.335 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
0.335 * [taylor]: Taking taylor expansion of (pow im 3) in im
0.335 * [taylor]: Taking taylor expansion of im in im
0.335 * [backup-simplify]: Simplify 0 into 0
0.335 * [backup-simplify]: Simplify 1 into 1
0.336 * [backup-simplify]: Simplify (* 1 1) into 1
0.336 * [backup-simplify]: Simplify (* 1 1) into 1
0.340 * [backup-simplify]: Simplify (/ 1 1) into 1
0.340 * [backup-simplify]: Simplify (sqrt 0) into 0
0.342 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.347 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.348 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.351 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.353 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.354 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.359 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.360 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.365 * [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)))))))
0.366 * [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)))))))
0.366 * [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
0.366 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im
0.366 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.366 * [taylor]: Taking taylor expansion of 2.0 in im
0.366 * [backup-simplify]: Simplify 2.0 into 2.0
0.367 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.367 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.367 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
0.367 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
0.367 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.367 * [taylor]: Taking taylor expansion of re in im
0.367 * [backup-simplify]: Simplify re into re
0.368 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.368 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.368 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.368 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.368 * [taylor]: Taking taylor expansion of re in im
0.368 * [backup-simplify]: Simplify re into re
0.368 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.368 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.368 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.368 * [taylor]: Taking taylor expansion of im in im
0.368 * [backup-simplify]: Simplify 0 into 0
0.368 * [backup-simplify]: Simplify 1 into 1
0.369 * [backup-simplify]: Simplify (* 1 1) into 1
0.369 * [backup-simplify]: Simplify (/ 1 1) into 1
0.369 * [backup-simplify]: Simplify (+ 0 1) into 1
0.370 * [backup-simplify]: Simplify (sqrt 1) into 1
0.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.372 * [backup-simplify]: Simplify (+ 0 0) into 0
0.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.373 * [backup-simplify]: Simplify (+ 0 1) into 1
0.373 * [backup-simplify]: Simplify (sqrt 0) into 0
0.374 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.374 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re
0.375 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.375 * [taylor]: Taking taylor expansion of 2.0 in re
0.375 * [backup-simplify]: Simplify 2.0 into 2.0
0.375 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.376 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.376 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
0.376 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.376 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.376 * [taylor]: Taking taylor expansion of re in re
0.376 * [backup-simplify]: Simplify 0 into 0
0.376 * [backup-simplify]: Simplify 1 into 1
0.376 * [backup-simplify]: Simplify (/ 1 1) into 1
0.376 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.376 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.376 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.376 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.376 * [taylor]: Taking taylor expansion of re in re
0.376 * [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
0.377 * [taylor]: Taking taylor expansion of im in re
0.377 * [backup-simplify]: Simplify im into im
0.377 * [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
0.379 * [backup-simplify]: Simplify (sqrt 1) into 1
0.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.381 * [backup-simplify]: Simplify (+ 0 0) into 0
0.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.382 * [backup-simplify]: Simplify (+ 1 1) into 2
0.382 * [backup-simplify]: Simplify (sqrt 0) into 0
0.384 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.384 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re
0.384 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.384 * [taylor]: Taking taylor expansion of 2.0 in re
0.384 * [backup-simplify]: Simplify 2.0 into 2.0
0.384 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.385 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.385 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
0.385 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.385 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.385 * [taylor]: Taking taylor expansion of re in re
0.385 * [backup-simplify]: Simplify 0 into 0
0.385 * [backup-simplify]: Simplify 1 into 1
0.386 * [backup-simplify]: Simplify (/ 1 1) into 1
0.386 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.386 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.386 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.386 * [taylor]: Taking taylor expansion of re in re
0.386 * [backup-simplify]: Simplify 0 into 0
0.386 * [backup-simplify]: Simplify 1 into 1
0.386 * [backup-simplify]: Simplify (* 1 1) into 1
0.387 * [backup-simplify]: Simplify (/ 1 1) into 1
0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.387 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.387 * [taylor]: Taking taylor expansion of im in re
0.387 * [backup-simplify]: Simplify im into im
0.387 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.387 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.387 * [backup-simplify]: Simplify (+ 1 0) into 1
0.388 * [backup-simplify]: Simplify (sqrt 1) into 1
0.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.390 * [backup-simplify]: Simplify (+ 0 0) into 0
0.390 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.390 * [backup-simplify]: Simplify (+ 1 1) into 2
0.391 * [backup-simplify]: Simplify (sqrt 0) into 0
0.391 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.392 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.392 * [taylor]: Taking taylor expansion of 0 in im
0.392 * [backup-simplify]: Simplify 0 into 0
0.393 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.393 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.393 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.393 * [taylor]: Taking taylor expansion of +nan.0 in im
0.393 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.393 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.393 * [taylor]: Taking taylor expansion of 2.0 in im
0.393 * [backup-simplify]: Simplify 2.0 into 2.0
0.393 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.394 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.394 * [backup-simplify]: Simplify 0 into 0
0.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.394 * [backup-simplify]: Simplify (+ 0 0) into 0
0.396 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.397 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.398 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.398 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.398 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.398 * [taylor]: Taking taylor expansion of +nan.0 in im
0.398 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.398 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.399 * [taylor]: Taking taylor expansion of 2.0 in im
0.399 * [backup-simplify]: Simplify 2.0 into 2.0
0.399 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.399 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.400 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.401 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.402 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.402 * [backup-simplify]: Simplify 0 into 0
0.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.403 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.404 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.404 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.405 * [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))
0.406 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.407 * [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))))))
0.407 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
0.407 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
0.407 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.407 * [taylor]: Taking taylor expansion of +nan.0 in im
0.407 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.407 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.407 * [taylor]: Taking taylor expansion of 2.0 in im
0.407 * [backup-simplify]: Simplify 2.0 into 2.0
0.407 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.408 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.408 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.408 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.408 * [taylor]: Taking taylor expansion of +nan.0 in im
0.408 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.408 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.408 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.408 * [taylor]: Taking taylor expansion of 2.0 in im
0.408 * [backup-simplify]: Simplify 2.0 into 2.0
0.408 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.409 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.409 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.409 * [taylor]: Taking taylor expansion of im in im
0.409 * [backup-simplify]: Simplify 0 into 0
0.409 * [backup-simplify]: Simplify 1 into 1
0.409 * [backup-simplify]: Simplify (* 1 1) into 1
0.410 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.411 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.411 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.411 * [backup-simplify]: Simplify (- 0) into 0
0.411 * [backup-simplify]: Simplify (+ 0 0) into 0
0.412 * [backup-simplify]: Simplify (- 0) into 0
0.412 * [backup-simplify]: Simplify 0 into 0
0.412 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.413 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.414 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.415 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.415 * [backup-simplify]: Simplify (- 0) into 0
0.415 * [backup-simplify]: Simplify 0 into 0
0.415 * [backup-simplify]: Simplify 0 into 0
0.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.417 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.417 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.417 * [backup-simplify]: Simplify (+ 0 0) into 0
0.417 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.418 * [backup-simplify]: Simplify (+ 0 0) into 0
0.419 * [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)))
0.421 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.423 * [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))))))
0.423 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
0.423 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
0.423 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.423 * [taylor]: Taking taylor expansion of +nan.0 in im
0.423 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.423 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.423 * [taylor]: Taking taylor expansion of 2.0 in im
0.423 * [backup-simplify]: Simplify 2.0 into 2.0
0.424 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.424 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.424 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.424 * [taylor]: Taking taylor expansion of +nan.0 in im
0.424 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.424 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.425 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.425 * [taylor]: Taking taylor expansion of 2.0 in im
0.425 * [backup-simplify]: Simplify 2.0 into 2.0
0.425 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.426 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.426 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.426 * [taylor]: Taking taylor expansion of im in im
0.426 * [backup-simplify]: Simplify 0 into 0
0.426 * [backup-simplify]: Simplify 1 into 1
0.426 * [backup-simplify]: Simplify (* 1 1) into 1
0.427 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.430 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.431 * [backup-simplify]: Simplify (- 0) into 0
0.431 * [backup-simplify]: Simplify (+ 0 0) into 0
0.431 * [backup-simplify]: Simplify (- 0) into 0
0.431 * [backup-simplify]: Simplify 0 into 0
0.432 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.433 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.437 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.437 * [backup-simplify]: Simplify (- 0) into 0
0.439 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
0.441 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.443 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.448 * [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))))))))
0.449 * [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))))
0.449 * [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
0.449 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im
0.449 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.449 * [taylor]: Taking taylor expansion of 2.0 in im
0.449 * [backup-simplify]: Simplify 2.0 into 2.0
0.449 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.450 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.450 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im
0.450 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
0.450 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.450 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.450 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.450 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.450 * [taylor]: Taking taylor expansion of re in im
0.450 * [backup-simplify]: Simplify re into re
0.450 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.451 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.451 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.451 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.451 * [taylor]: Taking taylor expansion of im in im
0.451 * [backup-simplify]: Simplify 0 into 0
0.451 * [backup-simplify]: Simplify 1 into 1
0.451 * [backup-simplify]: Simplify (* 1 1) into 1
0.451 * [backup-simplify]: Simplify (/ 1 1) into 1
0.452 * [backup-simplify]: Simplify (+ 0 1) into 1
0.452 * [backup-simplify]: Simplify (sqrt 1) into 1
0.453 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.454 * [backup-simplify]: Simplify (+ 0 0) into 0
0.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.454 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.454 * [taylor]: Taking taylor expansion of re in im
0.454 * [backup-simplify]: Simplify re into re
0.454 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.455 * [backup-simplify]: Simplify (+ 1 0) into 1
0.455 * [backup-simplify]: Simplify (sqrt 0) into 0
0.456 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.456 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re
0.456 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.456 * [taylor]: Taking taylor expansion of 2.0 in re
0.456 * [backup-simplify]: Simplify 2.0 into 2.0
0.456 * [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 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
0.457 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.457 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.457 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.457 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.457 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.457 * [taylor]: Taking taylor expansion of re in re
0.457 * [backup-simplify]: Simplify 0 into 0
0.457 * [backup-simplify]: Simplify 1 into 1
0.457 * [backup-simplify]: Simplify (* 1 1) into 1
0.457 * [backup-simplify]: Simplify (/ 1 1) into 1
0.457 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.457 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.457 * [taylor]: Taking taylor expansion of im in re
0.457 * [backup-simplify]: Simplify im into im
0.457 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.457 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.458 * [backup-simplify]: Simplify (+ 1 0) into 1
0.458 * [backup-simplify]: Simplify (sqrt 1) into 1
0.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.459 * [backup-simplify]: Simplify (+ 0 0) into 0
0.459 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.460 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.460 * [taylor]: Taking taylor expansion of re in re
0.460 * [backup-simplify]: Simplify 0 into 0
0.460 * [backup-simplify]: Simplify 1 into 1
0.460 * [backup-simplify]: Simplify (/ 1 1) into 1
0.460 * [backup-simplify]: Simplify (- 1) into -1
0.462 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.463 * [backup-simplify]: Simplify (- 0) into 0
0.463 * [backup-simplify]: Simplify (+ 0 0) into 0
0.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.464 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.465 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.466 * [backup-simplify]: Simplify (- 0) into 0
0.466 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.466 * [backup-simplify]: Simplify (sqrt 0) into 0
0.466 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.466 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re
0.466 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.466 * [taylor]: Taking taylor expansion of 2.0 in re
0.467 * [backup-simplify]: Simplify 2.0 into 2.0
0.467 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.467 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.467 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
0.467 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.467 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.467 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.467 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.467 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.467 * [taylor]: Taking taylor expansion of re in re
0.467 * [backup-simplify]: Simplify 0 into 0
0.467 * [backup-simplify]: Simplify 1 into 1
0.468 * [backup-simplify]: Simplify (* 1 1) into 1
0.468 * [backup-simplify]: Simplify (/ 1 1) into 1
0.468 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.468 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.468 * [taylor]: Taking taylor expansion of im in re
0.468 * [backup-simplify]: Simplify im into im
0.468 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.468 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.468 * [backup-simplify]: Simplify (+ 1 0) into 1
0.469 * [backup-simplify]: Simplify (sqrt 1) into 1
0.469 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.470 * [backup-simplify]: Simplify (+ 0 0) into 0
0.470 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.470 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.470 * [taylor]: Taking taylor expansion of re in re
0.470 * [backup-simplify]: Simplify 0 into 0
0.470 * [backup-simplify]: Simplify 1 into 1
0.470 * [backup-simplify]: Simplify (/ 1 1) into 1
0.471 * [backup-simplify]: Simplify (- 1) into -1
0.471 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.471 * [backup-simplify]: Simplify (- 0) into 0
0.472 * [backup-simplify]: Simplify (+ 0 0) into 0
0.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.473 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.474 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.475 * [backup-simplify]: Simplify (- 0) into 0
0.475 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.475 * [backup-simplify]: Simplify (sqrt 0) into 0
0.475 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.476 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.476 * [taylor]: Taking taylor expansion of 0 in im
0.476 * [backup-simplify]: Simplify 0 into 0
0.477 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
0.477 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.477 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.477 * [taylor]: Taking taylor expansion of +nan.0 in im
0.477 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.477 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.477 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.477 * [taylor]: Taking taylor expansion of 2.0 in im
0.477 * [backup-simplify]: Simplify 2.0 into 2.0
0.477 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.477 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.477 * [taylor]: Taking taylor expansion of im in im
0.477 * [backup-simplify]: Simplify 0 into 0
0.477 * [backup-simplify]: Simplify 1 into 1
0.478 * [backup-simplify]: Simplify (* 1 1) into 1
0.478 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.479 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.480 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.480 * [backup-simplify]: Simplify (- 0) into 0
0.480 * [backup-simplify]: Simplify 0 into 0
0.480 * [backup-simplify]: Simplify 0 into 0
0.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.481 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.482 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.482 * [backup-simplify]: Simplify (+ 0 0) into 0
0.483 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.484 * [backup-simplify]: Simplify (- 0) into 0
0.485 * [backup-simplify]: Simplify (+ 0 0) into 0
0.486 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
0.487 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.488 * [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))))
0.488 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
0.488 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.488 * [taylor]: Taking taylor expansion of +nan.0 in im
0.488 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.488 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.488 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.488 * [taylor]: Taking taylor expansion of 2.0 in im
0.488 * [backup-simplify]: Simplify 2.0 into 2.0
0.489 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.490 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.490 * [taylor]: Taking taylor expansion of im in im
0.490 * [backup-simplify]: Simplify 0 into 0
0.490 * [backup-simplify]: Simplify 1 into 1
0.490 * [backup-simplify]: Simplify (* 1 1) into 1
0.491 * [backup-simplify]: Simplify (* 1 1) into 1
0.491 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.493 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.494 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.498 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.499 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.501 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.504 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.504 * [backup-simplify]: Simplify (- 0) into 0
0.504 * [backup-simplify]: Simplify 0 into 0
0.505 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.508 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.509 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.509 * [backup-simplify]: Simplify (- 0) into 0
0.509 * [backup-simplify]: Simplify 0 into 0
0.509 * [backup-simplify]: Simplify 0 into 0
0.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.512 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.512 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.513 * [backup-simplify]: Simplify (+ 0 0) into 0
0.514 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
0.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.516 * [backup-simplify]: Simplify (- 0) into 0
0.516 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
0.517 * [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)))))
0.518 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.520 * [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))))))
0.520 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
0.520 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
0.520 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.520 * [taylor]: Taking taylor expansion of +nan.0 in im
0.520 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.520 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.520 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.520 * [taylor]: Taking taylor expansion of 2.0 in im
0.520 * [backup-simplify]: Simplify 2.0 into 2.0
0.521 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.521 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.521 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.522 * [taylor]: Taking taylor expansion of im in im
0.522 * [backup-simplify]: Simplify 0 into 0
0.522 * [backup-simplify]: Simplify 1 into 1
0.522 * [backup-simplify]: Simplify (* 1 1) into 1
0.522 * [backup-simplify]: Simplify (* 1 1) into 1
0.523 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.523 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
0.523 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) 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 6)) in im
0.523 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.523 * [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)
0.525 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.525 * [taylor]: Taking taylor expansion of (pow im 6) in im
0.525 * [taylor]: Taking taylor expansion of im in im
0.525 * [backup-simplify]: Simplify 0 into 0
0.525 * [backup-simplify]: Simplify 1 into 1
0.525 * [backup-simplify]: Simplify (* 1 1) into 1
0.526 * [backup-simplify]: Simplify (* 1 1) into 1
0.526 * [backup-simplify]: Simplify (* 1 1) into 1
0.527 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.528 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.529 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.534 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.537 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.538 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.540 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.541 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.542 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.544 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.545 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.553 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.558 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.559 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.565 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.569 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
0.569 * [backup-simplify]: Simplify (- 0) into 0
0.570 * [backup-simplify]: Simplify (+ 0 0) into 0
0.570 * [backup-simplify]: Simplify (- 0) into 0
0.570 * [backup-simplify]: Simplify 0 into 0
0.570 * [backup-simplify]: Simplify 0 into 0
0.570 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2)
0.571 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2))))
0.571 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0
0.571 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
0.571 * [taylor]: Taking taylor expansion of re in im
0.571 * [backup-simplify]: Simplify re into re
0.571 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.571 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.571 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.571 * [taylor]: Taking taylor expansion of im in im
0.571 * [backup-simplify]: Simplify 0 into 0
0.571 * [backup-simplify]: Simplify 1 into 1
0.571 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.571 * [taylor]: Taking taylor expansion of re in im
0.571 * [backup-simplify]: Simplify re into re
0.571 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.571 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.571 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.571 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.572 * [backup-simplify]: Simplify (+ 0 0) into 0
0.572 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.572 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.572 * [taylor]: Taking taylor expansion of re in re
0.572 * [backup-simplify]: Simplify 0 into 0
0.572 * [backup-simplify]: Simplify 1 into 1
0.572 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.572 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.572 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.572 * [taylor]: Taking taylor expansion of im in re
0.572 * [backup-simplify]: Simplify im into im
0.572 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.572 * [taylor]: Taking taylor expansion of re in re
0.572 * [backup-simplify]: Simplify 0 into 0
0.572 * [backup-simplify]: Simplify 1 into 1
0.573 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.573 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.573 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.573 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.573 * [backup-simplify]: Simplify (+ 0 0) into 0
0.573 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.574 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.574 * [taylor]: Taking taylor expansion of re in re
0.574 * [backup-simplify]: Simplify 0 into 0
0.574 * [backup-simplify]: Simplify 1 into 1
0.574 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.574 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.574 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.574 * [taylor]: Taking taylor expansion of im in re
0.574 * [backup-simplify]: Simplify im into im
0.574 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.574 * [taylor]: Taking taylor expansion of re in re
0.574 * [backup-simplify]: Simplify 0 into 0
0.574 * [backup-simplify]: Simplify 1 into 1
0.574 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.574 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.574 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.574 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.575 * [backup-simplify]: Simplify (+ 0 0) into 0
0.575 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.575 * [backup-simplify]: Simplify (+ 0 im) into im
0.575 * [taylor]: Taking taylor expansion of im in im
0.575 * [backup-simplify]: Simplify 0 into 0
0.575 * [backup-simplify]: Simplify 1 into 1
0.575 * [backup-simplify]: Simplify 0 into 0
0.576 * [backup-simplify]: Simplify (+ 1 0) into 1
0.576 * [taylor]: Taking taylor expansion of 1 in im
0.576 * [backup-simplify]: Simplify 1 into 1
0.576 * [backup-simplify]: Simplify 1 into 1
0.576 * [backup-simplify]: Simplify 1 into 1
0.576 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.577 * [backup-simplify]: Simplify (* 1 1) into 1
0.577 * [backup-simplify]: Simplify (+ 0 1) into 1
0.578 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.578 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.578 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
0.578 * [taylor]: Taking taylor expansion of 1/2 in im
0.578 * [backup-simplify]: Simplify 1/2 into 1/2
0.578 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.578 * [taylor]: Taking taylor expansion of im in im
0.578 * [backup-simplify]: Simplify 0 into 0
0.578 * [backup-simplify]: Simplify 1 into 1
0.579 * [backup-simplify]: Simplify (/ 1 1) into 1
0.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.580 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.580 * [backup-simplify]: Simplify 0 into 0
0.580 * [backup-simplify]: Simplify 0 into 0
0.580 * [backup-simplify]: Simplify 0 into 0
0.581 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.582 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.582 * [backup-simplify]: Simplify (+ 0 0) into 0
0.583 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.583 * [backup-simplify]: Simplify (+ 0 0) into 0
0.583 * [taylor]: Taking taylor expansion of 0 in im
0.583 * [backup-simplify]: Simplify 0 into 0
0.583 * [backup-simplify]: Simplify 0 into 0
0.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.585 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.585 * [backup-simplify]: Simplify 0 into 0
0.585 * [backup-simplify]: Simplify 0 into 0
0.585 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
0.586 * [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)))))
0.586 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
0.586 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
0.586 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.586 * [taylor]: Taking taylor expansion of re in im
0.586 * [backup-simplify]: Simplify re into re
0.586 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.586 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.586 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.586 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.586 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.586 * [taylor]: Taking taylor expansion of re in im
0.586 * [backup-simplify]: Simplify re into re
0.586 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.586 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.586 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.586 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.586 * [taylor]: Taking taylor expansion of im in im
0.586 * [backup-simplify]: Simplify 0 into 0
0.586 * [backup-simplify]: Simplify 1 into 1
0.587 * [backup-simplify]: Simplify (* 1 1) into 1
0.587 * [backup-simplify]: Simplify (/ 1 1) into 1
0.588 * [backup-simplify]: Simplify (+ 0 1) into 1
0.588 * [backup-simplify]: Simplify (sqrt 1) into 1
0.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.590 * [backup-simplify]: Simplify (+ 0 0) into 0
0.591 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.591 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.591 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.591 * [taylor]: Taking taylor expansion of re in re
0.591 * [backup-simplify]: Simplify 0 into 0
0.591 * [backup-simplify]: Simplify 1 into 1
0.591 * [backup-simplify]: Simplify (/ 1 1) into 1
0.591 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.591 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.591 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.591 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.591 * [taylor]: Taking taylor expansion of re in re
0.591 * [backup-simplify]: Simplify 0 into 0
0.591 * [backup-simplify]: Simplify 1 into 1
0.592 * [backup-simplify]: Simplify (* 1 1) into 1
0.592 * [backup-simplify]: Simplify (/ 1 1) into 1
0.592 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.592 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.592 * [taylor]: Taking taylor expansion of im in re
0.592 * [backup-simplify]: Simplify im into im
0.592 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.592 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.593 * [backup-simplify]: Simplify (+ 1 0) into 1
0.593 * [backup-simplify]: Simplify (sqrt 1) into 1
0.594 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.595 * [backup-simplify]: Simplify (+ 0 0) into 0
0.596 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.596 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.596 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.596 * [taylor]: Taking taylor expansion of re in re
0.596 * [backup-simplify]: Simplify 0 into 0
0.596 * [backup-simplify]: Simplify 1 into 1
0.597 * [backup-simplify]: Simplify (/ 1 1) into 1
0.597 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.597 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.597 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.597 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.597 * [taylor]: Taking taylor expansion of re in re
0.597 * [backup-simplify]: Simplify 0 into 0
0.597 * [backup-simplify]: Simplify 1 into 1
0.599 * [backup-simplify]: Simplify (* 1 1) into 1
0.600 * [backup-simplify]: Simplify (/ 1 1) into 1
0.600 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.600 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.600 * [taylor]: Taking taylor expansion of im in re
0.600 * [backup-simplify]: Simplify im into im
0.600 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.600 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.601 * [backup-simplify]: Simplify (+ 1 0) into 1
0.601 * [backup-simplify]: Simplify (sqrt 1) into 1
0.602 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.603 * [backup-simplify]: Simplify (+ 0 0) into 0
0.603 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.604 * [backup-simplify]: Simplify (+ 1 1) into 2
0.604 * [taylor]: Taking taylor expansion of 2 in im
0.604 * [backup-simplify]: Simplify 2 into 2
0.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.605 * [backup-simplify]: Simplify (+ 0 0) into 0
0.605 * [taylor]: Taking taylor expansion of 0 in im
0.605 * [backup-simplify]: Simplify 0 into 0
0.605 * [backup-simplify]: Simplify 2 into 2
0.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.608 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.610 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.610 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.610 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.610 * [taylor]: Taking taylor expansion of 1/2 in im
0.610 * [backup-simplify]: Simplify 1/2 into 1/2
0.610 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.610 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.610 * [taylor]: Taking taylor expansion of im in im
0.610 * [backup-simplify]: Simplify 0 into 0
0.610 * [backup-simplify]: Simplify 1 into 1
0.611 * [backup-simplify]: Simplify (* 1 1) into 1
0.611 * [backup-simplify]: Simplify (/ 1 1) into 1
0.612 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.613 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.613 * [backup-simplify]: Simplify 0 into 0
0.613 * [backup-simplify]: Simplify 0 into 0
0.613 * [backup-simplify]: Simplify 0 into 0
0.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.616 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.617 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.617 * [backup-simplify]: Simplify (+ 0 0) into 0
0.618 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.618 * [backup-simplify]: Simplify (+ 0 0) into 0
0.618 * [taylor]: Taking taylor expansion of 0 in im
0.618 * [backup-simplify]: Simplify 0 into 0
0.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.621 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.621 * [backup-simplify]: Simplify 0 into 0
0.621 * [backup-simplify]: Simplify 0 into 0
0.621 * [backup-simplify]: Simplify 0 into 0
0.621 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
0.622 * [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))
0.622 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
0.622 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
0.622 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.622 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.622 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.622 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.622 * [taylor]: Taking taylor expansion of re in im
0.622 * [backup-simplify]: Simplify re into re
0.622 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.622 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.623 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.623 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.623 * [taylor]: Taking taylor expansion of im in im
0.623 * [backup-simplify]: Simplify 0 into 0
0.623 * [backup-simplify]: Simplify 1 into 1
0.623 * [backup-simplify]: Simplify (* 1 1) into 1
0.623 * [backup-simplify]: Simplify (/ 1 1) into 1
0.624 * [backup-simplify]: Simplify (+ 0 1) into 1
0.624 * [backup-simplify]: Simplify (sqrt 1) into 1
0.625 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.626 * [backup-simplify]: Simplify (+ 0 0) into 0
0.627 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.627 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.627 * [taylor]: Taking taylor expansion of re in im
0.627 * [backup-simplify]: Simplify re into re
0.627 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.627 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.627 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.627 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.627 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.627 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.627 * [taylor]: Taking taylor expansion of re in re
0.627 * [backup-simplify]: Simplify 0 into 0
0.627 * [backup-simplify]: Simplify 1 into 1
0.628 * [backup-simplify]: Simplify (* 1 1) into 1
0.628 * [backup-simplify]: Simplify (/ 1 1) into 1
0.628 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.628 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.628 * [taylor]: Taking taylor expansion of im in re
0.628 * [backup-simplify]: Simplify im into im
0.628 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.629 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.629 * [backup-simplify]: Simplify (+ 1 0) into 1
0.629 * [backup-simplify]: Simplify (sqrt 1) into 1
0.630 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.632 * [backup-simplify]: Simplify (+ 0 0) into 0
0.632 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.632 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.632 * [taylor]: Taking taylor expansion of re in re
0.632 * [backup-simplify]: Simplify 0 into 0
0.633 * [backup-simplify]: Simplify 1 into 1
0.633 * [backup-simplify]: Simplify (/ 1 1) into 1
0.633 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.633 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.633 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.633 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.633 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.633 * [taylor]: Taking taylor expansion of re in re
0.633 * [backup-simplify]: Simplify 0 into 0
0.633 * [backup-simplify]: Simplify 1 into 1
0.634 * [backup-simplify]: Simplify (* 1 1) into 1
0.634 * [backup-simplify]: Simplify (/ 1 1) into 1
0.634 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.634 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.634 * [taylor]: Taking taylor expansion of im in re
0.634 * [backup-simplify]: Simplify im into im
0.634 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.634 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.635 * [backup-simplify]: Simplify (+ 1 0) into 1
0.635 * [backup-simplify]: Simplify (sqrt 1) into 1
0.636 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.637 * [backup-simplify]: Simplify (+ 0 0) into 0
0.638 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.638 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.638 * [taylor]: Taking taylor expansion of re in re
0.638 * [backup-simplify]: Simplify 0 into 0
0.638 * [backup-simplify]: Simplify 1 into 1
0.638 * [backup-simplify]: Simplify (/ 1 1) into 1
0.639 * [backup-simplify]: Simplify (- 1) into -1
0.639 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.639 * [taylor]: Taking taylor expansion of 0 in im
0.639 * [backup-simplify]: Simplify 0 into 0
0.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.640 * [backup-simplify]: Simplify (- 0) into 0
0.641 * [backup-simplify]: Simplify (+ 0 0) into 0
0.641 * [taylor]: Taking taylor expansion of 0 in im
0.641 * [backup-simplify]: Simplify 0 into 0
0.641 * [backup-simplify]: Simplify 0 into 0
0.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.643 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.644 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.646 * [backup-simplify]: Simplify (- 0) into 0
0.646 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.646 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.646 * [taylor]: Taking taylor expansion of 1/2 in im
0.646 * [backup-simplify]: Simplify 1/2 into 1/2
0.646 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.646 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.646 * [taylor]: Taking taylor expansion of im in im
0.646 * [backup-simplify]: Simplify 0 into 0
0.646 * [backup-simplify]: Simplify 1 into 1
0.646 * [backup-simplify]: Simplify (* 1 1) into 1
0.646 * [backup-simplify]: Simplify (/ 1 1) into 1
0.647 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.648 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.648 * [backup-simplify]: Simplify 0 into 0
0.648 * [backup-simplify]: Simplify 0 into 0
0.648 * [backup-simplify]: Simplify 0 into 0
0.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.649 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.649 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.649 * [backup-simplify]: Simplify (+ 0 0) into 0
0.650 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.651 * [backup-simplify]: Simplify (- 0) into 0
0.651 * [backup-simplify]: Simplify (+ 0 0) into 0
0.651 * [taylor]: Taking taylor expansion of 0 in im
0.651 * [backup-simplify]: Simplify 0 into 0
0.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.653 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.653 * [backup-simplify]: Simplify 0 into 0
0.653 * [backup-simplify]: Simplify 0 into 0
0.653 * [backup-simplify]: Simplify 0 into 0
0.653 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1)
0.653 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow im 2) (pow re 2))
0.653 * [approximate]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in (re im) around 0
0.653 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.653 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.653 * [taylor]: Taking taylor expansion of im in im
0.653 * [backup-simplify]: Simplify 0 into 0
0.653 * [backup-simplify]: Simplify 1 into 1
0.653 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.653 * [taylor]: Taking taylor expansion of re in im
0.653 * [backup-simplify]: Simplify re into re
0.653 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.653 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.653 * [taylor]: Taking taylor expansion of im in re
0.653 * [backup-simplify]: Simplify im into im
0.653 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.653 * [taylor]: Taking taylor expansion of re in re
0.653 * [backup-simplify]: Simplify 0 into 0
0.653 * [backup-simplify]: Simplify 1 into 1
0.653 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.653 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.653 * [taylor]: Taking taylor expansion of im in re
0.653 * [backup-simplify]: Simplify im into im
0.653 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.653 * [taylor]: Taking taylor expansion of re in re
0.653 * [backup-simplify]: Simplify 0 into 0
0.653 * [backup-simplify]: Simplify 1 into 1
0.653 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.653 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.654 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.654 * [taylor]: Taking taylor expansion of im in im
0.654 * [backup-simplify]: Simplify 0 into 0
0.654 * [backup-simplify]: Simplify 1 into 1
0.654 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.654 * [backup-simplify]: Simplify (+ 0 0) into 0
0.654 * [taylor]: Taking taylor expansion of 0 in im
0.654 * [backup-simplify]: Simplify 0 into 0
0.654 * [backup-simplify]: Simplify 0 into 0
0.654 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.655 * [backup-simplify]: Simplify (* 1 1) into 1
0.655 * [backup-simplify]: Simplify (+ 0 1) into 1
0.655 * [taylor]: Taking taylor expansion of 1 in im
0.655 * [backup-simplify]: Simplify 1 into 1
0.655 * [backup-simplify]: Simplify 1 into 1
0.655 * [backup-simplify]: Simplify 0 into 0
0.655 * [backup-simplify]: Simplify (* 1 1) into 1
0.655 * [backup-simplify]: Simplify 1 into 1
0.656 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.656 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.656 * [backup-simplify]: Simplify (+ 0 0) into 0
0.656 * [taylor]: Taking taylor expansion of 0 in im
0.656 * [backup-simplify]: Simplify 0 into 0
0.656 * [backup-simplify]: Simplify 0 into 0
0.656 * [backup-simplify]: Simplify 0 into 0
0.656 * [backup-simplify]: Simplify 0 into 0
0.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.657 * [backup-simplify]: Simplify 0 into 0
0.658 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0
0.658 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.658 * [backup-simplify]: Simplify (+ 0 0) into 0
0.658 * [taylor]: Taking taylor expansion of 0 in im
0.658 * [backup-simplify]: Simplify 0 into 0
0.658 * [backup-simplify]: Simplify 0 into 0
0.658 * [backup-simplify]: Simplify 0 into 0
0.659 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow im 2) (pow re 2))
0.659 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))
0.659 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0
0.659 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.659 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.659 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.659 * [taylor]: Taking taylor expansion of re in im
0.659 * [backup-simplify]: Simplify re into re
0.659 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.659 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.659 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.659 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.659 * [taylor]: Taking taylor expansion of im in im
0.659 * [backup-simplify]: Simplify 0 into 0
0.659 * [backup-simplify]: Simplify 1 into 1
0.659 * [backup-simplify]: Simplify (* 1 1) into 1
0.660 * [backup-simplify]: Simplify (/ 1 1) into 1
0.660 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.660 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.660 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.660 * [taylor]: Taking taylor expansion of re in re
0.660 * [backup-simplify]: Simplify 0 into 0
0.660 * [backup-simplify]: Simplify 1 into 1
0.660 * [backup-simplify]: Simplify (* 1 1) into 1
0.660 * [backup-simplify]: Simplify (/ 1 1) into 1
0.660 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.660 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.660 * [taylor]: Taking taylor expansion of im in re
0.660 * [backup-simplify]: Simplify im into im
0.660 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.660 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.661 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.661 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.661 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.661 * [taylor]: Taking taylor expansion of re in re
0.661 * [backup-simplify]: Simplify 0 into 0
0.661 * [backup-simplify]: Simplify 1 into 1
0.661 * [backup-simplify]: Simplify (* 1 1) into 1
0.661 * [backup-simplify]: Simplify (/ 1 1) into 1
0.661 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.661 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.661 * [taylor]: Taking taylor expansion of im in re
0.661 * [backup-simplify]: Simplify im into im
0.661 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.661 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.662 * [backup-simplify]: Simplify (+ 1 0) into 1
0.662 * [taylor]: Taking taylor expansion of 1 in im
0.662 * [backup-simplify]: Simplify 1 into 1
0.662 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.663 * [backup-simplify]: Simplify (+ 0 0) into 0
0.663 * [taylor]: Taking taylor expansion of 0 in im
0.663 * [backup-simplify]: Simplify 0 into 0
0.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.664 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.664 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.664 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.664 * [taylor]: Taking taylor expansion of im in im
0.664 * [backup-simplify]: Simplify 0 into 0
0.664 * [backup-simplify]: Simplify 1 into 1
0.664 * [backup-simplify]: Simplify (* 1 1) into 1
0.665 * [backup-simplify]: Simplify (/ 1 1) into 1
0.665 * [backup-simplify]: Simplify 1 into 1
0.665 * [backup-simplify]: Simplify 1 into 1
0.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.666 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.666 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.666 * [backup-simplify]: Simplify (+ 0 0) into 0
0.666 * [taylor]: Taking taylor expansion of 0 in im
0.666 * [backup-simplify]: Simplify 0 into 0
0.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.667 * [backup-simplify]: Simplify 0 into 0
0.667 * [backup-simplify]: Simplify 0 into 0
0.667 * [backup-simplify]: Simplify 0 into 0
0.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.669 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.669 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.669 * [backup-simplify]: Simplify (+ 0 0) into 0
0.669 * [taylor]: Taking taylor expansion of 0 in im
0.669 * [backup-simplify]: Simplify 0 into 0
0.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.670 * [backup-simplify]: Simplify 0 into 0
0.670 * [backup-simplify]: Simplify 0 into 0
0.670 * [backup-simplify]: Simplify 0 into 0
0.671 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow im 2) (pow re 2))
0.671 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))
0.671 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0
0.671 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.671 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.671 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.671 * [taylor]: Taking taylor expansion of re in im
0.671 * [backup-simplify]: Simplify re into re
0.671 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.671 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.671 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.671 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.671 * [taylor]: Taking taylor expansion of im in im
0.671 * [backup-simplify]: Simplify 0 into 0
0.671 * [backup-simplify]: Simplify 1 into 1
0.671 * [backup-simplify]: Simplify (* 1 1) into 1
0.672 * [backup-simplify]: Simplify (/ 1 1) into 1
0.672 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.672 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.672 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.672 * [taylor]: Taking taylor expansion of re in re
0.672 * [backup-simplify]: Simplify 0 into 0
0.672 * [backup-simplify]: Simplify 1 into 1
0.672 * [backup-simplify]: Simplify (* 1 1) into 1
0.672 * [backup-simplify]: Simplify (/ 1 1) into 1
0.672 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.672 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.672 * [taylor]: Taking taylor expansion of im in re
0.672 * [backup-simplify]: Simplify im into im
0.672 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.672 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.672 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.672 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.672 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.672 * [taylor]: Taking taylor expansion of re in re
0.672 * [backup-simplify]: Simplify 0 into 0
0.673 * [backup-simplify]: Simplify 1 into 1
0.673 * [backup-simplify]: Simplify (* 1 1) into 1
0.673 * [backup-simplify]: Simplify (/ 1 1) into 1
0.673 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.673 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.673 * [taylor]: Taking taylor expansion of im in re
0.673 * [backup-simplify]: Simplify im into im
0.673 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.673 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.673 * [backup-simplify]: Simplify (+ 1 0) into 1
0.674 * [taylor]: Taking taylor expansion of 1 in im
0.674 * [backup-simplify]: Simplify 1 into 1
0.674 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.675 * [backup-simplify]: Simplify (+ 0 0) into 0
0.675 * [taylor]: Taking taylor expansion of 0 in im
0.676 * [backup-simplify]: Simplify 0 into 0
0.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.678 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.678 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.678 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.678 * [taylor]: Taking taylor expansion of im in im
0.678 * [backup-simplify]: Simplify 0 into 0
0.678 * [backup-simplify]: Simplify 1 into 1
0.678 * [backup-simplify]: Simplify (* 1 1) into 1
0.679 * [backup-simplify]: Simplify (/ 1 1) into 1
0.679 * [backup-simplify]: Simplify 1 into 1
0.679 * [backup-simplify]: Simplify 1 into 1
0.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.681 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.682 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.682 * [backup-simplify]: Simplify (+ 0 0) into 0
0.682 * [taylor]: Taking taylor expansion of 0 in im
0.682 * [backup-simplify]: Simplify 0 into 0
0.683 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.684 * [backup-simplify]: Simplify 0 into 0
0.684 * [backup-simplify]: Simplify 0 into 0
0.684 * [backup-simplify]: Simplify 0 into 0
0.685 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.686 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.687 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.687 * [backup-simplify]: Simplify (+ 0 0) into 0
0.687 * [taylor]: Taking taylor expansion of 0 in im
0.687 * [backup-simplify]: Simplify 0 into 0
0.688 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.689 * [backup-simplify]: Simplify 0 into 0
0.689 * [backup-simplify]: Simplify 0 into 0
0.689 * [backup-simplify]: Simplify 0 into 0
0.690 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow im 2) (pow re 2))
0.690 * * * [progress]: simplifying candidates
0.692 * [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 (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))
  (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (* (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (sqrt 2.0)
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))
  (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (exp (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))
  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
  (+ re im)
  (* 2 re)
  0
  (+ (pow im 2) (pow re 2))
  (+ (pow im 2) (pow re 2))
  (+ (pow im 2) (pow re 2))
0.694 * * [simplify]: iteration 0: 108 enodes
0.730 * * [simplify]: iteration 1: 291 enodes
0.897 * * [simplify]: iteration 2: 1361 enodes
1.337 * * [simplify]: iteration complete: 5000 enodes
1.337 * * [simplify]: Extracting #0: cost 55 inf + 0
1.338 * * [simplify]: Extracting #1: cost 377 inf + 5
1.342 * * [simplify]: Extracting #2: cost 1724 inf + 7958
1.382 * * [simplify]: Extracting #3: cost 1502 inf + 118950
1.481 * * [simplify]: Extracting #4: cost 300 inf + 322363
1.565 * * [simplify]: Extracting #5: cost 55 inf + 381209
1.642 * * [simplify]: Extracting #6: cost 13 inf + 389203
1.740 * * [simplify]: Extracting #7: cost 0 inf + 392892
1.829 * [simplify]: Simplified to:
  (log (sqrt (+ (* im im) (* re re))))
  (exp (sqrt (+ (* im im) (* re re))))
  (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re)))))
  (cbrt (sqrt (+ (* im im) (* re re))))
  (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re)))
  (fabs (cbrt (+ (* im im) (* re re))))
  (sqrt (cbrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  1
  (sqrt (+ (* im im) (* re re)))
  (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* (* im im) (* im im)) (* im im))))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (* (+ re im) (- re im)))
  1/2
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (log (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re))))
  (exp (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re))))
  (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))))
  (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re))))
  (* (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re))) (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))
  (sqrt 2.0)
  (sqrt (+ (sqrt (+ (* im im) (* re re))) re))
  (sqrt (* 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 (* (+ (* im im) 0) 2.0))
  (sqrt (- (sqrt (+ (* im im) (* re re))) re))
  1/2
  1/2
  (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re))))
  (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re))))
  (exp (+ (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) (* re re)) (* (* im im) (* im im)))
  (* (+ re im) (- re im))
  im
  re
  (- re)
  (+ (* (* (sqrt 2.0) +nan.0) (- im re)) (* +nan.0 (* (sqrt 2.0) (- (* re re)))))
  (+ (/ (* (sqrt 2.0) +nan.0) re) (- (+ (/ (sqrt 2.0) (/ (* re re) +nan.0)) (* (sqrt 2.0) +nan.0))))
  0
  (+ re im)
  (* 2 re)
  0
  (+ (* im im) (* re re))
  (+ (* im im) (* re re))
  (+ (* im im) (* re re))
1.834 * * * [progress]: adding candidates to table
2.266 * * [progress]: iteration 2 / 4
2.266 * * * [progress]: picking best candidate
2.319 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))))) re)))))>
2.319 * * * [progress]: localizing error
2.398 * * * [progress]: generating rewritten candidates
2.398 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 1 2)
2.404 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1 2)
2.408 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1 1)
2.412 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1)
2.500 * * * [progress]: generating series expansions
2.501 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 1 2)
2.501 * [backup-simplify]: Simplify (cbrt (+ (* re re) (* im im))) into (pow (+ (pow im 2) (pow re 2)) 1/3)
2.501 * [approximate]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in (re im) around 0
2.501 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in im
2.501 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in im
2.501 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in im
2.501 * [taylor]: Taking taylor expansion of 1/3 in im
2.501 * [backup-simplify]: Simplify 1/3 into 1/3
2.501 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in im
2.501 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
2.501 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.501 * [taylor]: Taking taylor expansion of im in im
2.501 * [backup-simplify]: Simplify 0 into 0
2.501 * [backup-simplify]: Simplify 1 into 1
2.501 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.501 * [taylor]: Taking taylor expansion of re in im
2.501 * [backup-simplify]: Simplify re into re
2.501 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.501 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
2.501 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2))
2.501 * [backup-simplify]: Simplify (* 1/3 (log (pow re 2))) into (* 1/3 (log (pow re 2)))
2.501 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow re 2)))) into (pow (pow re 2) 1/3)
2.502 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in re
2.502 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in re
2.502 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in re
2.502 * [taylor]: Taking taylor expansion of 1/3 in re
2.502 * [backup-simplify]: Simplify 1/3 into 1/3
2.502 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in re
2.502 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.502 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.502 * [taylor]: Taking taylor expansion of im in re
2.502 * [backup-simplify]: Simplify im into im
2.502 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.502 * [taylor]: Taking taylor expansion of re in re
2.502 * [backup-simplify]: Simplify 0 into 0
2.502 * [backup-simplify]: Simplify 1 into 1
2.502 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.502 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.502 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2))
2.502 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2)))
2.502 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3)
2.502 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in re
2.502 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in re
2.502 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in re
2.502 * [taylor]: Taking taylor expansion of 1/3 in re
2.502 * [backup-simplify]: Simplify 1/3 into 1/3
2.502 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in re
2.502 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.502 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.502 * [taylor]: Taking taylor expansion of im in re
2.502 * [backup-simplify]: Simplify im into im
2.502 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.502 * [taylor]: Taking taylor expansion of re in re
2.502 * [backup-simplify]: Simplify 0 into 0
2.502 * [backup-simplify]: Simplify 1 into 1
2.502 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.503 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.503 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2))
2.503 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2)))
2.503 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3)
2.503 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/3) in im
2.503 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow im 2)))) in im
2.503 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow im 2))) in im
2.503 * [taylor]: Taking taylor expansion of 1/3 in im
2.503 * [backup-simplify]: Simplify 1/3 into 1/3
2.503 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im
2.503 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.503 * [taylor]: Taking taylor expansion of im in im
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 (log 1) into 0
2.504 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im))
2.504 * [backup-simplify]: Simplify (* 1/3 (* 2 (log im))) into (* 2/3 (log im))
2.504 * [backup-simplify]: Simplify (exp (* 2/3 (log im))) into (pow im 2/3)
2.504 * [backup-simplify]: Simplify (pow im 2/3) into (pow im 2/3)
2.504 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.505 * [backup-simplify]: Simplify (+ 0 0) into 0
2.505 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0
2.506 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow im 2)))) into 0
2.506 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
2.506 * [taylor]: Taking taylor expansion of 0 in im
2.506 * [backup-simplify]: Simplify 0 into 0
2.506 * [backup-simplify]: Simplify 0 into 0
2.507 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.507 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
2.508 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im))
2.508 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log im)))) into 0
2.509 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
2.509 * [backup-simplify]: Simplify 0 into 0
2.509 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.509 * [backup-simplify]: Simplify (* 1 1) into 1
2.509 * [backup-simplify]: Simplify (+ 0 1) into 1
2.511 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2))
2.511 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/3 (/ 1 (pow im 2)))
2.512 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3))
2.512 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) in im
2.512 * [taylor]: Taking taylor expansion of 1/3 in im
2.512 * [backup-simplify]: Simplify 1/3 into 1/3
2.512 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 4)) 1/3) in im
2.512 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 4))))) in im
2.512 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 4)))) in im
2.512 * [taylor]: Taking taylor expansion of 1/3 in im
2.512 * [backup-simplify]: Simplify 1/3 into 1/3
2.512 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 4))) in im
2.512 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im
2.512 * [taylor]: Taking taylor expansion of (pow im 4) in im
2.512 * [taylor]: Taking taylor expansion of im in im
2.512 * [backup-simplify]: Simplify 0 into 0
2.512 * [backup-simplify]: Simplify 1 into 1
2.512 * [backup-simplify]: Simplify (* 1 1) into 1
2.512 * [backup-simplify]: Simplify (* 1 1) into 1
2.513 * [backup-simplify]: Simplify (/ 1 1) into 1
2.513 * [backup-simplify]: Simplify (log 1) into 0
2.513 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im)))
2.513 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log im)))) into (* -4/3 (log im))
2.513 * [backup-simplify]: Simplify (exp (* -4/3 (log im))) into (pow im -4/3)
2.513 * [backup-simplify]: Simplify (* 1/3 (pow im -4/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3))
2.514 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3))
2.514 * [backup-simplify]: Simplify 0 into 0
2.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.516 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
2.516 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im))
2.516 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0
2.517 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.517 * [backup-simplify]: Simplify 0 into 0
2.518 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.518 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.519 * [backup-simplify]: Simplify (+ 0 0) into 0
2.520 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow im 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 2) 1)))) 6) into 0
2.521 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0
2.523 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.523 * [taylor]: Taking taylor expansion of 0 in im
2.523 * [backup-simplify]: Simplify 0 into 0
2.523 * [backup-simplify]: Simplify 0 into 0
2.524 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.525 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.527 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
2.527 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im)))
2.528 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log im))))) into 0
2.529 * [backup-simplify]: Simplify (* (exp (* -4/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
2.529 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow im -4/3))) into 0
2.529 * [backup-simplify]: Simplify 0 into 0
2.530 * [backup-simplify]: Simplify 0 into 0
2.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.536 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
2.537 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im))
2.538 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log im)))))) into 0
2.540 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.540 * [backup-simplify]: Simplify 0 into 0
2.541 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) (pow (* 1 re) 2)) (pow im 2/3)) into (+ (pow im 2/3) (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3))))
2.541 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)
2.541 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in (re im) around 0
2.541 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in im
2.541 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
2.541 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
2.541 * [taylor]: Taking taylor expansion of 1/3 in im
2.541 * [backup-simplify]: Simplify 1/3 into 1/3
2.542 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.542 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.542 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.542 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.542 * [taylor]: Taking taylor expansion of re in im
2.542 * [backup-simplify]: Simplify re into re
2.542 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.542 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.542 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.542 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.542 * [taylor]: Taking taylor expansion of im in im
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
2.543 * [backup-simplify]: Simplify (/ 1 1) into 1
2.543 * [backup-simplify]: Simplify (+ 0 1) into 1
2.544 * [backup-simplify]: Simplify (log 1) into 0
2.544 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
2.544 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im))
2.544 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3)
2.544 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re
2.545 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
2.545 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
2.545 * [taylor]: Taking taylor expansion of 1/3 in re
2.545 * [backup-simplify]: Simplify 1/3 into 1/3
2.545 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.545 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.545 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.545 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.545 * [taylor]: Taking taylor expansion of re in re
2.545 * [backup-simplify]: Simplify 0 into 0
2.545 * [backup-simplify]: Simplify 1 into 1
2.545 * [backup-simplify]: Simplify (* 1 1) into 1
2.546 * [backup-simplify]: Simplify (/ 1 1) into 1
2.546 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.546 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.546 * [taylor]: Taking taylor expansion of im in re
2.546 * [backup-simplify]: Simplify im into im
2.546 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.546 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.546 * [backup-simplify]: Simplify (+ 1 0) into 1
2.547 * [backup-simplify]: Simplify (log 1) into 0
2.547 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
2.547 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re))
2.548 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3)
2.548 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re
2.548 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
2.548 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
2.548 * [taylor]: Taking taylor expansion of 1/3 in re
2.548 * [backup-simplify]: Simplify 1/3 into 1/3
2.548 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.548 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.548 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.548 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.548 * [taylor]: Taking taylor expansion of re in re
2.548 * [backup-simplify]: Simplify 0 into 0
2.548 * [backup-simplify]: Simplify 1 into 1
2.548 * [backup-simplify]: Simplify (* 1 1) into 1
2.549 * [backup-simplify]: Simplify (/ 1 1) into 1
2.549 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.549 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.549 * [taylor]: Taking taylor expansion of im in re
2.549 * [backup-simplify]: Simplify im into im
2.549 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.549 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.549 * [backup-simplify]: Simplify (+ 1 0) into 1
2.550 * [backup-simplify]: Simplify (log 1) into 0
2.550 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
2.550 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re))
2.551 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3)
2.551 * [taylor]: Taking taylor expansion of (pow re -2/3) in im
2.551 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im
2.551 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im
2.551 * [taylor]: Taking taylor expansion of -2/3 in im
2.551 * [backup-simplify]: Simplify -2/3 into -2/3
2.551 * [taylor]: Taking taylor expansion of (log re) in im
2.551 * [taylor]: Taking taylor expansion of re in im
2.551 * [backup-simplify]: Simplify re into re
2.551 * [backup-simplify]: Simplify (log re) into (log re)
2.551 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re))
2.551 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3)
2.551 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3)
2.552 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.553 * [backup-simplify]: Simplify (+ 0 0) into 0
2.555 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
2.555 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
2.556 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0
2.556 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
2.557 * [taylor]: Taking taylor expansion of 0 in im
2.557 * [backup-simplify]: Simplify 0 into 0
2.557 * [backup-simplify]: Simplify 0 into 0
2.557 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
2.558 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0
2.559 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
2.559 * [backup-simplify]: Simplify 0 into 0
2.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.561 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.563 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2))
2.564 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
2.564 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2)))
2.566 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))))
2.566 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im
2.566 * [taylor]: Taking taylor expansion of 1/3 in im
2.566 * [backup-simplify]: Simplify 1/3 into 1/3
2.566 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im
2.566 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im
2.566 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im
2.566 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im
2.566 * [taylor]: Taking taylor expansion of 1/3 in im
2.566 * [backup-simplify]: Simplify 1/3 into 1/3
2.566 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im
2.566 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.566 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.566 * [taylor]: Taking taylor expansion of re in im
2.566 * [backup-simplify]: Simplify re into re
2.566 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.566 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.566 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2)))
2.567 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2))))
2.567 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3)
2.567 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.567 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.567 * [taylor]: Taking taylor expansion of im in im
2.567 * [backup-simplify]: Simplify 0 into 0
2.567 * [backup-simplify]: Simplify 1 into 1
2.568 * [backup-simplify]: Simplify (* 1 1) into 1
2.568 * [backup-simplify]: Simplify (/ 1 1) into 1
2.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.570 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.571 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.572 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
2.573 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0
2.574 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0
2.575 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
2.578 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
2.579 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0
2.581 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0
2.582 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0
2.584 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.585 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0
2.585 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0
2.586 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3)
2.587 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0
2.587 * [backup-simplify]: Simplify 0 into 0
2.587 * [backup-simplify]: Simplify 0 into 0
2.589 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
2.589 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0
2.591 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.591 * [backup-simplify]: Simplify 0 into 0
2.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.594 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.594 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.594 * [backup-simplify]: Simplify (+ 0 0) into 0
2.598 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
2.599 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
2.600 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0
2.603 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.603 * [taylor]: Taking taylor expansion of 0 in im
2.603 * [backup-simplify]: Simplify 0 into 0
2.603 * [backup-simplify]: Simplify 0 into 0
2.603 * [backup-simplify]: Simplify (pow (/ 1 re) -2/3) into (pow (/ 1 re) -2/3)
2.603 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)
2.603 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in (re im) around 0
2.603 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in im
2.603 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
2.603 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
2.604 * [taylor]: Taking taylor expansion of 1/3 in im
2.604 * [backup-simplify]: Simplify 1/3 into 1/3
2.604 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.604 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.604 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.604 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.604 * [taylor]: Taking taylor expansion of re in im
2.604 * [backup-simplify]: Simplify re into re
2.604 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.604 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.604 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.604 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.604 * [taylor]: Taking taylor expansion of im in im
2.604 * [backup-simplify]: Simplify 0 into 0
2.604 * [backup-simplify]: Simplify 1 into 1
2.605 * [backup-simplify]: Simplify (* 1 1) into 1
2.605 * [backup-simplify]: Simplify (/ 1 1) into 1
2.605 * [backup-simplify]: Simplify (+ 0 1) into 1
2.606 * [backup-simplify]: Simplify (log 1) into 0
2.606 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
2.606 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im))
2.607 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3)
2.607 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re
2.607 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
2.607 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
2.607 * [taylor]: Taking taylor expansion of 1/3 in re
2.607 * [backup-simplify]: Simplify 1/3 into 1/3
2.607 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.607 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.607 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.607 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.607 * [taylor]: Taking taylor expansion of re in re
2.607 * [backup-simplify]: Simplify 0 into 0
2.607 * [backup-simplify]: Simplify 1 into 1
2.607 * [backup-simplify]: Simplify (* 1 1) into 1
2.608 * [backup-simplify]: Simplify (/ 1 1) into 1
2.608 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.608 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.608 * [taylor]: Taking taylor expansion of im in re
2.608 * [backup-simplify]: Simplify im into im
2.608 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.608 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.609 * [backup-simplify]: Simplify (+ 1 0) into 1
2.609 * [backup-simplify]: Simplify (log 1) into 0
2.609 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
2.610 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re))
2.610 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3)
2.610 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re
2.610 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
2.610 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
2.610 * [taylor]: Taking taylor expansion of 1/3 in re
2.610 * [backup-simplify]: Simplify 1/3 into 1/3
2.610 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.610 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.610 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.610 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.610 * [taylor]: Taking taylor expansion of re in re
2.610 * [backup-simplify]: Simplify 0 into 0
2.610 * [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 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.611 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.611 * [taylor]: Taking taylor expansion of im in re
2.611 * [backup-simplify]: Simplify im into im
2.611 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.611 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.612 * [backup-simplify]: Simplify (+ 1 0) into 1
2.612 * [backup-simplify]: Simplify (log 1) into 0
2.613 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
2.613 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re))
2.613 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3)
2.613 * [taylor]: Taking taylor expansion of (pow re -2/3) in im
2.613 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im
2.613 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im
2.613 * [taylor]: Taking taylor expansion of -2/3 in im
2.613 * [backup-simplify]: Simplify -2/3 into -2/3
2.613 * [taylor]: Taking taylor expansion of (log 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 (log re) into (log re)
2.613 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re))
2.613 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3)
2.613 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3)
2.614 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.615 * [backup-simplify]: Simplify (+ 0 0) into 0
2.617 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
2.617 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
2.618 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0
2.619 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
2.619 * [taylor]: Taking taylor expansion of 0 in im
2.619 * [backup-simplify]: Simplify 0 into 0
2.619 * [backup-simplify]: Simplify 0 into 0
2.620 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
2.620 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0
2.621 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
2.621 * [backup-simplify]: Simplify 0 into 0
2.622 * [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))
2.625 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2))
2.626 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
2.627 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2)))
2.628 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))))
2.628 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im
2.628 * [taylor]: Taking taylor expansion of 1/3 in im
2.628 * [backup-simplify]: Simplify 1/3 into 1/3
2.628 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im
2.628 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im
2.628 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im
2.628 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im
2.628 * [taylor]: Taking taylor expansion of 1/3 in im
2.628 * [backup-simplify]: Simplify 1/3 into 1/3
2.628 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im
2.628 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.628 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.628 * [taylor]: Taking taylor expansion of re in im
2.628 * [backup-simplify]: Simplify re into re
2.628 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.628 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.628 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2)))
2.629 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2))))
2.629 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3)
2.629 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.629 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.629 * [taylor]: Taking taylor expansion of im in im
2.629 * [backup-simplify]: Simplify 0 into 0
2.629 * [backup-simplify]: Simplify 1 into 1
2.629 * [backup-simplify]: Simplify (* 1 1) into 1
2.630 * [backup-simplify]: Simplify (/ 1 1) into 1
2.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.632 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.633 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.634 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
2.635 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0
2.635 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0
2.636 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
2.637 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
2.637 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0
2.639 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0
2.639 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0
2.640 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.641 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0
2.641 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0
2.641 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3)
2.642 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0
2.642 * [backup-simplify]: Simplify 0 into 0
2.642 * [backup-simplify]: Simplify 0 into 0
2.643 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
2.643 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0
2.644 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.644 * [backup-simplify]: Simplify 0 into 0
2.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.645 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.646 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.646 * [backup-simplify]: Simplify (+ 0 0) into 0
2.648 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
2.648 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
2.649 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0
2.650 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.650 * [taylor]: Taking taylor expansion of 0 in im
2.650 * [backup-simplify]: Simplify 0 into 0
2.650 * [backup-simplify]: Simplify 0 into 0
2.650 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -2/3) into (pow (/ -1 re) -2/3)
2.651 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1 2)
2.651 * [backup-simplify]: Simplify (cbrt (+ (* re re) (* im im))) into (pow (+ (pow im 2) (pow re 2)) 1/3)
2.651 * [approximate]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in (re im) around 0
2.651 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in im
2.651 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in im
2.651 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in im
2.651 * [taylor]: Taking taylor expansion of 1/3 in im
2.651 * [backup-simplify]: Simplify 1/3 into 1/3
2.651 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in im
2.651 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
2.651 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.651 * [taylor]: Taking taylor expansion of im in im
2.651 * [backup-simplify]: Simplify 0 into 0
2.651 * [backup-simplify]: Simplify 1 into 1
2.651 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.651 * [taylor]: Taking taylor expansion of re in im
2.651 * [backup-simplify]: Simplify re into re
2.651 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.651 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
2.651 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2))
2.651 * [backup-simplify]: Simplify (* 1/3 (log (pow re 2))) into (* 1/3 (log (pow re 2)))
2.651 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow re 2)))) into (pow (pow re 2) 1/3)
2.651 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in re
2.651 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in re
2.651 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in re
2.651 * [taylor]: Taking taylor expansion of 1/3 in re
2.651 * [backup-simplify]: Simplify 1/3 into 1/3
2.651 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in re
2.651 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.652 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.652 * [taylor]: Taking taylor expansion of im in re
2.652 * [backup-simplify]: Simplify im into im
2.652 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.652 * [taylor]: Taking taylor expansion of re in re
2.652 * [backup-simplify]: Simplify 0 into 0
2.652 * [backup-simplify]: Simplify 1 into 1
2.652 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.652 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.652 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2))
2.652 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2)))
2.652 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3)
2.652 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in re
2.652 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in re
2.652 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in re
2.652 * [taylor]: Taking taylor expansion of 1/3 in re
2.652 * [backup-simplify]: Simplify 1/3 into 1/3
2.652 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in re
2.652 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.652 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.652 * [taylor]: Taking taylor expansion of im in re
2.652 * [backup-simplify]: Simplify im into im
2.652 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.652 * [taylor]: Taking taylor expansion of re in re
2.652 * [backup-simplify]: Simplify 0 into 0
2.652 * [backup-simplify]: Simplify 1 into 1
2.652 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.652 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.652 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2))
2.653 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2)))
2.653 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3)
2.653 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/3) in im
2.653 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow im 2)))) in im
2.653 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow im 2))) in im
2.653 * [taylor]: Taking taylor expansion of 1/3 in im
2.653 * [backup-simplify]: Simplify 1/3 into 1/3
2.653 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im
2.653 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.653 * [taylor]: Taking taylor expansion of im in im
2.653 * [backup-simplify]: Simplify 0 into 0
2.653 * [backup-simplify]: Simplify 1 into 1
2.653 * [backup-simplify]: Simplify (* 1 1) into 1
2.654 * [backup-simplify]: Simplify (log 1) into 0
2.654 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im))
2.654 * [backup-simplify]: Simplify (* 1/3 (* 2 (log im))) into (* 2/3 (log im))
2.654 * [backup-simplify]: Simplify (exp (* 2/3 (log im))) into (pow im 2/3)
2.654 * [backup-simplify]: Simplify (pow im 2/3) into (pow im 2/3)
2.654 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.654 * [backup-simplify]: Simplify (+ 0 0) into 0
2.655 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0
2.655 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow im 2)))) into 0
2.656 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
2.656 * [taylor]: Taking taylor expansion of 0 in im
2.656 * [backup-simplify]: Simplify 0 into 0
2.656 * [backup-simplify]: Simplify 0 into 0
2.656 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.657 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
2.657 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im))
2.658 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log im)))) into 0
2.658 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
2.658 * [backup-simplify]: Simplify 0 into 0
2.659 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.659 * [backup-simplify]: Simplify (* 1 1) into 1
2.659 * [backup-simplify]: Simplify (+ 0 1) into 1
2.660 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2))
2.661 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/3 (/ 1 (pow im 2)))
2.661 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3))
2.661 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) in im
2.661 * [taylor]: Taking taylor expansion of 1/3 in im
2.661 * [backup-simplify]: Simplify 1/3 into 1/3
2.661 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 4)) 1/3) in im
2.661 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 4))))) in im
2.661 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 4)))) in im
2.661 * [taylor]: Taking taylor expansion of 1/3 in im
2.661 * [backup-simplify]: Simplify 1/3 into 1/3
2.661 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 4))) in im
2.662 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im
2.662 * [taylor]: Taking taylor expansion of (pow im 4) in im
2.662 * [taylor]: Taking taylor expansion of im in im
2.662 * [backup-simplify]: Simplify 0 into 0
2.662 * [backup-simplify]: Simplify 1 into 1
2.662 * [backup-simplify]: Simplify (* 1 1) into 1
2.662 * [backup-simplify]: Simplify (* 1 1) into 1
2.662 * [backup-simplify]: Simplify (/ 1 1) into 1
2.663 * [backup-simplify]: Simplify (log 1) into 0
2.663 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im)))
2.663 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log im)))) into (* -4/3 (log im))
2.663 * [backup-simplify]: Simplify (exp (* -4/3 (log im))) into (pow im -4/3)
2.663 * [backup-simplify]: Simplify (* 1/3 (pow im -4/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3))
2.663 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3))
2.663 * [backup-simplify]: Simplify 0 into 0
2.664 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.665 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
2.666 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im))
2.666 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0
2.667 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.667 * [backup-simplify]: Simplify 0 into 0
2.668 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.668 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.668 * [backup-simplify]: Simplify (+ 0 0) into 0
2.670 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow im 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 2) 1)))) 6) into 0
2.671 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0
2.672 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.672 * [taylor]: Taking taylor expansion of 0 in im
2.672 * [backup-simplify]: Simplify 0 into 0
2.672 * [backup-simplify]: Simplify 0 into 0
2.673 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.673 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.675 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
2.675 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im)))
2.676 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log im))))) into 0
2.677 * [backup-simplify]: Simplify (* (exp (* -4/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
2.677 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow im -4/3))) into 0
2.677 * [backup-simplify]: Simplify 0 into 0
2.677 * [backup-simplify]: Simplify 0 into 0
2.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.684 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
2.684 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im))
2.686 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log im)))))) into 0
2.688 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.688 * [backup-simplify]: Simplify 0 into 0
2.688 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) (pow (* 1 re) 2)) (pow im 2/3)) into (+ (pow im 2/3) (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3))))
2.689 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)
2.689 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in (re im) around 0
2.689 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in im
2.689 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
2.689 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
2.689 * [taylor]: Taking taylor expansion of 1/3 in im
2.689 * [backup-simplify]: Simplify 1/3 into 1/3
2.689 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.689 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.689 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.689 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.689 * [taylor]: Taking taylor expansion of re in im
2.689 * [backup-simplify]: Simplify re into re
2.689 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.689 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.689 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.689 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.689 * [taylor]: Taking taylor expansion of im in im
2.689 * [backup-simplify]: Simplify 0 into 0
2.689 * [backup-simplify]: Simplify 1 into 1
2.690 * [backup-simplify]: Simplify (* 1 1) into 1
2.691 * [backup-simplify]: Simplify (/ 1 1) into 1
2.691 * [backup-simplify]: Simplify (+ 0 1) into 1
2.691 * [backup-simplify]: Simplify (log 1) into 0
2.692 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
2.692 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im))
2.692 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3)
2.692 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re
2.692 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
2.692 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
2.692 * [taylor]: Taking taylor expansion of 1/3 in re
2.692 * [backup-simplify]: Simplify 1/3 into 1/3
2.692 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.693 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.693 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.693 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.693 * [taylor]: Taking taylor expansion of re in re
2.693 * [backup-simplify]: Simplify 0 into 0
2.693 * [backup-simplify]: Simplify 1 into 1
2.693 * [backup-simplify]: Simplify (* 1 1) into 1
2.693 * [backup-simplify]: Simplify (/ 1 1) into 1
2.694 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.694 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.694 * [taylor]: Taking taylor expansion of im in re
2.694 * [backup-simplify]: Simplify im into im
2.694 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.694 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.694 * [backup-simplify]: Simplify (+ 1 0) into 1
2.695 * [backup-simplify]: Simplify (log 1) into 0
2.695 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
2.695 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re))
2.696 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3)
2.696 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re
2.696 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
2.696 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
2.696 * [taylor]: Taking taylor expansion of 1/3 in re
2.696 * [backup-simplify]: Simplify 1/3 into 1/3
2.696 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.696 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.696 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.696 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.696 * [taylor]: Taking taylor expansion of re in re
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 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.697 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.697 * [taylor]: Taking taylor expansion of im in re
2.697 * [backup-simplify]: Simplify im into im
2.697 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.697 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.698 * [backup-simplify]: Simplify (+ 1 0) into 1
2.698 * [backup-simplify]: Simplify (log 1) into 0
2.699 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
2.699 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re))
2.699 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3)
2.699 * [taylor]: Taking taylor expansion of (pow re -2/3) in im
2.699 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im
2.699 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im
2.699 * [taylor]: Taking taylor expansion of -2/3 in im
2.699 * [backup-simplify]: Simplify -2/3 into -2/3
2.699 * [taylor]: Taking taylor expansion of (log re) in im
2.699 * [taylor]: Taking taylor expansion of re in im
2.699 * [backup-simplify]: Simplify re into re
2.699 * [backup-simplify]: Simplify (log re) into (log re)
2.699 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re))
2.699 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3)
2.699 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3)
2.700 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.701 * [backup-simplify]: Simplify (+ 0 0) into 0
2.702 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
2.703 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
2.703 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0
2.704 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
2.704 * [taylor]: Taking taylor expansion of 0 in im
2.704 * [backup-simplify]: Simplify 0 into 0
2.704 * [backup-simplify]: Simplify 0 into 0
2.704 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
2.705 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0
2.705 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
2.705 * [backup-simplify]: Simplify 0 into 0
2.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.706 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.707 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2))
2.708 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
2.708 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2)))
2.710 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))))
2.710 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im
2.710 * [taylor]: Taking taylor expansion of 1/3 in im
2.710 * [backup-simplify]: Simplify 1/3 into 1/3
2.710 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im
2.710 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im
2.710 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im
2.710 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im
2.710 * [taylor]: Taking taylor expansion of 1/3 in im
2.710 * [backup-simplify]: Simplify 1/3 into 1/3
2.710 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im
2.710 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.711 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.711 * [taylor]: Taking taylor expansion of re in im
2.711 * [backup-simplify]: Simplify re into re
2.711 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.711 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.711 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2)))
2.711 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2))))
2.711 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3)
2.711 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.711 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.711 * [taylor]: Taking taylor expansion of im in im
2.711 * [backup-simplify]: Simplify 0 into 0
2.711 * [backup-simplify]: Simplify 1 into 1
2.711 * [backup-simplify]: Simplify (* 1 1) into 1
2.712 * [backup-simplify]: Simplify (/ 1 1) into 1
2.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.713 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.714 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.714 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
2.715 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0
2.715 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0
2.716 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
2.716 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
2.716 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0
2.717 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0
2.718 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0
2.719 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.719 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0
2.720 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0
2.720 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3)
2.721 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0
2.721 * [backup-simplify]: Simplify 0 into 0
2.721 * [backup-simplify]: Simplify 0 into 0
2.722 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
2.722 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0
2.723 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.723 * [backup-simplify]: Simplify 0 into 0
2.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.724 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.724 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.725 * [backup-simplify]: Simplify (+ 0 0) into 0
2.727 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
2.727 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
2.728 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0
2.729 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.729 * [taylor]: Taking taylor expansion of 0 in im
2.729 * [backup-simplify]: Simplify 0 into 0
2.729 * [backup-simplify]: Simplify 0 into 0
2.729 * [backup-simplify]: Simplify (pow (/ 1 re) -2/3) into (pow (/ 1 re) -2/3)
2.729 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)
2.729 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in (re im) around 0
2.729 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in im
2.730 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
2.730 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
2.730 * [taylor]: Taking taylor expansion of 1/3 in im
2.730 * [backup-simplify]: Simplify 1/3 into 1/3
2.730 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.730 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.730 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.730 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.730 * [taylor]: Taking taylor expansion of re in im
2.730 * [backup-simplify]: Simplify re into re
2.730 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.730 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.730 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.730 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.730 * [taylor]: Taking taylor expansion of im in im
2.730 * [backup-simplify]: Simplify 0 into 0
2.730 * [backup-simplify]: Simplify 1 into 1
2.731 * [backup-simplify]: Simplify (* 1 1) into 1
2.731 * [backup-simplify]: Simplify (/ 1 1) into 1
2.731 * [backup-simplify]: Simplify (+ 0 1) into 1
2.732 * [backup-simplify]: Simplify (log 1) into 0
2.732 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
2.732 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im))
2.732 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3)
2.733 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re
2.733 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
2.733 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
2.733 * [taylor]: Taking taylor expansion of 1/3 in re
2.733 * [backup-simplify]: Simplify 1/3 into 1/3
2.733 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.733 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.733 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.733 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.733 * [taylor]: Taking taylor expansion of re in re
2.733 * [backup-simplify]: Simplify 0 into 0
2.733 * [backup-simplify]: Simplify 1 into 1
2.733 * [backup-simplify]: Simplify (* 1 1) into 1
2.734 * [backup-simplify]: Simplify (/ 1 1) into 1
2.734 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.734 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.734 * [taylor]: Taking taylor expansion of im in re
2.734 * [backup-simplify]: Simplify im into im
2.734 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.734 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.734 * [backup-simplify]: Simplify (+ 1 0) into 1
2.735 * [backup-simplify]: Simplify (log 1) into 0
2.735 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
2.735 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re))
2.736 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3)
2.736 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re
2.736 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
2.736 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
2.736 * [taylor]: Taking taylor expansion of 1/3 in re
2.736 * [backup-simplify]: Simplify 1/3 into 1/3
2.736 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.736 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.736 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.736 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.736 * [taylor]: Taking taylor expansion of re in re
2.736 * [backup-simplify]: Simplify 0 into 0
2.736 * [backup-simplify]: Simplify 1 into 1
2.736 * [backup-simplify]: Simplify (* 1 1) into 1
2.737 * [backup-simplify]: Simplify (/ 1 1) into 1
2.737 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.737 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.737 * [taylor]: Taking taylor expansion of im in re
2.737 * [backup-simplify]: Simplify im into im
2.737 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.737 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.737 * [backup-simplify]: Simplify (+ 1 0) into 1
2.738 * [backup-simplify]: Simplify (log 1) into 0
2.738 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
2.738 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re))
2.739 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3)
2.739 * [taylor]: Taking taylor expansion of (pow re -2/3) in im
2.739 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im
2.739 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im
2.739 * [taylor]: Taking taylor expansion of -2/3 in im
2.739 * [backup-simplify]: Simplify -2/3 into -2/3
2.739 * [taylor]: Taking taylor expansion of (log re) in im
2.739 * [taylor]: Taking taylor expansion of re in im
2.739 * [backup-simplify]: Simplify re into re
2.739 * [backup-simplify]: Simplify (log re) into (log re)
2.739 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re))
2.739 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3)
2.739 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3)
2.740 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.741 * [backup-simplify]: Simplify (+ 0 0) into 0
2.742 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
2.743 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
2.744 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0
2.744 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
2.745 * [taylor]: Taking taylor expansion of 0 in im
2.745 * [backup-simplify]: Simplify 0 into 0
2.745 * [backup-simplify]: Simplify 0 into 0
2.746 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
2.746 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0
2.747 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
2.747 * [backup-simplify]: Simplify 0 into 0
2.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.749 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.752 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2))
2.752 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
2.753 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2)))
2.754 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))))
2.754 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im
2.754 * [taylor]: Taking taylor expansion of 1/3 in im
2.754 * [backup-simplify]: Simplify 1/3 into 1/3
2.754 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im
2.754 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im
2.754 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im
2.755 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im
2.755 * [taylor]: Taking taylor expansion of 1/3 in im
2.755 * [backup-simplify]: Simplify 1/3 into 1/3
2.755 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im
2.755 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.755 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.755 * [taylor]: Taking taylor expansion of re in im
2.755 * [backup-simplify]: Simplify re into re
2.755 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.755 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.755 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2)))
2.755 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2))))
2.755 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3)
2.756 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.756 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.756 * [taylor]: Taking taylor expansion of im in im
2.756 * [backup-simplify]: Simplify 0 into 0
2.756 * [backup-simplify]: Simplify 1 into 1
2.756 * [backup-simplify]: Simplify (* 1 1) into 1
2.756 * [backup-simplify]: Simplify (/ 1 1) into 1
2.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.758 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.760 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.760 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
2.761 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0
2.762 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0
2.763 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
2.763 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
2.764 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0
2.766 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0
2.767 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0
2.768 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.769 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0
2.770 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0
2.770 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3)
2.771 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0
2.771 * [backup-simplify]: Simplify 0 into 0
2.771 * [backup-simplify]: Simplify 0 into 0
2.773 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
2.774 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0
2.775 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.775 * [backup-simplify]: Simplify 0 into 0
2.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.777 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.778 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.778 * [backup-simplify]: Simplify (+ 0 0) into 0
2.781 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
2.782 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
2.783 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0
2.785 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.786 * [taylor]: Taking taylor expansion of 0 in im
2.786 * [backup-simplify]: Simplify 0 into 0
2.786 * [backup-simplify]: Simplify 0 into 0
2.786 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -2/3) into (pow (/ -1 re) -2/3)
2.786 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1 1)
2.786 * [backup-simplify]: Simplify (cbrt (+ (* re re) (* im im))) into (pow (+ (pow im 2) (pow re 2)) 1/3)
2.786 * [approximate]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in (re im) around 0
2.786 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in im
2.786 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in im
2.786 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in im
2.786 * [taylor]: Taking taylor expansion of 1/3 in im
2.786 * [backup-simplify]: Simplify 1/3 into 1/3
2.786 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in im
2.786 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
2.786 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.786 * [taylor]: Taking taylor expansion of im in im
2.787 * [backup-simplify]: Simplify 0 into 0
2.787 * [backup-simplify]: Simplify 1 into 1
2.787 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.787 * [taylor]: Taking taylor expansion of re in im
2.787 * [backup-simplify]: Simplify re into re
2.787 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.787 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
2.787 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2))
2.787 * [backup-simplify]: Simplify (* 1/3 (log (pow re 2))) into (* 1/3 (log (pow re 2)))
2.787 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow re 2)))) into (pow (pow re 2) 1/3)
2.787 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in re
2.787 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in re
2.787 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in re
2.787 * [taylor]: Taking taylor expansion of 1/3 in re
2.788 * [backup-simplify]: Simplify 1/3 into 1/3
2.788 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in re
2.788 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.788 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.788 * [taylor]: Taking taylor expansion of im in re
2.788 * [backup-simplify]: Simplify im into im
2.788 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.788 * [taylor]: Taking taylor expansion of re in re
2.788 * [backup-simplify]: Simplify 0 into 0
2.788 * [backup-simplify]: Simplify 1 into 1
2.788 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.788 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.788 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2))
2.788 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2)))
2.788 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3)
2.789 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in re
2.789 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in re
2.789 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in re
2.789 * [taylor]: Taking taylor expansion of 1/3 in re
2.789 * [backup-simplify]: Simplify 1/3 into 1/3
2.789 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in re
2.789 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.789 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.789 * [taylor]: Taking taylor expansion of im in re
2.789 * [backup-simplify]: Simplify im into im
2.789 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.789 * [taylor]: Taking taylor expansion of re in re
2.789 * [backup-simplify]: Simplify 0 into 0
2.789 * [backup-simplify]: Simplify 1 into 1
2.789 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.789 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.789 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2))
2.789 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2)))
2.790 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3)
2.790 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/3) in im
2.790 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow im 2)))) in im
2.790 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow im 2))) in im
2.790 * [taylor]: Taking taylor expansion of 1/3 in im
2.790 * [backup-simplify]: Simplify 1/3 into 1/3
2.790 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im
2.790 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.790 * [taylor]: Taking taylor expansion of im in im
2.790 * [backup-simplify]: Simplify 0 into 0
2.790 * [backup-simplify]: Simplify 1 into 1
2.791 * [backup-simplify]: Simplify (* 1 1) into 1
2.791 * [backup-simplify]: Simplify (log 1) into 0
2.791 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im))
2.792 * [backup-simplify]: Simplify (* 1/3 (* 2 (log im))) into (* 2/3 (log im))
2.792 * [backup-simplify]: Simplify (exp (* 2/3 (log im))) into (pow im 2/3)
2.792 * [backup-simplify]: Simplify (pow im 2/3) into (pow im 2/3)
2.792 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.792 * [backup-simplify]: Simplify (+ 0 0) into 0
2.793 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0
2.794 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow im 2)))) into 0
2.795 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
2.795 * [taylor]: Taking taylor expansion of 0 in im
2.795 * [backup-simplify]: Simplify 0 into 0
2.795 * [backup-simplify]: Simplify 0 into 0
2.796 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.797 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
2.798 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im))
2.798 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log im)))) into 0
2.799 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
2.799 * [backup-simplify]: Simplify 0 into 0
2.800 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.800 * [backup-simplify]: Simplify (* 1 1) into 1
2.800 * [backup-simplify]: Simplify (+ 0 1) into 1
2.802 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2))
2.803 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/3 (/ 1 (pow im 2)))
2.804 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3))
2.804 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) in im
2.804 * [taylor]: Taking taylor expansion of 1/3 in im
2.804 * [backup-simplify]: Simplify 1/3 into 1/3
2.804 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 4)) 1/3) in im
2.804 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 4))))) in im
2.805 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 4)))) in im
2.805 * [taylor]: Taking taylor expansion of 1/3 in im
2.805 * [backup-simplify]: Simplify 1/3 into 1/3
2.805 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 4))) in im
2.805 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im
2.805 * [taylor]: Taking taylor expansion of (pow im 4) in im
2.805 * [taylor]: Taking taylor expansion of im in im
2.805 * [backup-simplify]: Simplify 0 into 0
2.805 * [backup-simplify]: Simplify 1 into 1
2.805 * [backup-simplify]: Simplify (* 1 1) into 1
2.806 * [backup-simplify]: Simplify (* 1 1) into 1
2.806 * [backup-simplify]: Simplify (/ 1 1) into 1
2.806 * [backup-simplify]: Simplify (log 1) into 0
2.807 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im)))
2.807 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log im)))) into (* -4/3 (log im))
2.807 * [backup-simplify]: Simplify (exp (* -4/3 (log im))) into (pow im -4/3)
2.807 * [backup-simplify]: Simplify (* 1/3 (pow im -4/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3))
2.807 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3))
2.808 * [backup-simplify]: Simplify 0 into 0
2.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.811 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
2.812 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im))
2.813 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0
2.815 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.815 * [backup-simplify]: Simplify 0 into 0
2.816 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.817 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.817 * [backup-simplify]: Simplify (+ 0 0) into 0
2.819 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow im 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 2) 1)))) 6) into 0
2.820 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0
2.821 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.821 * [taylor]: Taking taylor expansion of 0 in im
2.821 * [backup-simplify]: Simplify 0 into 0
2.821 * [backup-simplify]: Simplify 0 into 0
2.822 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.822 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.823 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
2.824 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im)))
2.824 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log im))))) into 0
2.824 * [backup-simplify]: Simplify (* (exp (* -4/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
2.825 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow im -4/3))) into 0
2.825 * [backup-simplify]: Simplify 0 into 0
2.825 * [backup-simplify]: Simplify 0 into 0
2.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.828 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
2.828 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im))
2.829 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log im)))))) into 0
2.830 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.830 * [backup-simplify]: Simplify 0 into 0
2.831 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) (pow (* 1 re) 2)) (pow im 2/3)) into (+ (pow im 2/3) (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3))))
2.831 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)
2.831 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in (re im) around 0
2.831 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in im
2.831 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
2.831 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
2.831 * [taylor]: Taking taylor expansion of 1/3 in im
2.831 * [backup-simplify]: Simplify 1/3 into 1/3
2.831 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.831 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.831 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.831 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.831 * [taylor]: Taking taylor expansion of re in im
2.831 * [backup-simplify]: Simplify re into re
2.831 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.831 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.831 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.831 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.831 * [taylor]: Taking taylor expansion of im in im
2.831 * [backup-simplify]: Simplify 0 into 0
2.831 * [backup-simplify]: Simplify 1 into 1
2.832 * [backup-simplify]: Simplify (* 1 1) into 1
2.832 * [backup-simplify]: Simplify (/ 1 1) into 1
2.832 * [backup-simplify]: Simplify (+ 0 1) into 1
2.832 * [backup-simplify]: Simplify (log 1) into 0
2.833 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
2.833 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im))
2.833 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3)
2.833 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re
2.833 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
2.833 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
2.833 * [taylor]: Taking taylor expansion of 1/3 in re
2.833 * [backup-simplify]: Simplify 1/3 into 1/3
2.833 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.833 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.833 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.833 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.833 * [taylor]: Taking taylor expansion of re in re
2.833 * [backup-simplify]: Simplify 0 into 0
2.833 * [backup-simplify]: Simplify 1 into 1
2.833 * [backup-simplify]: Simplify (* 1 1) into 1
2.833 * [backup-simplify]: Simplify (/ 1 1) into 1
2.833 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.833 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.833 * [taylor]: Taking taylor expansion of im in re
2.833 * [backup-simplify]: Simplify im into im
2.833 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.834 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.834 * [backup-simplify]: Simplify (+ 1 0) into 1
2.834 * [backup-simplify]: Simplify (log 1) into 0
2.834 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
2.834 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re))
2.834 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3)
2.835 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re
2.835 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
2.835 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
2.835 * [taylor]: Taking taylor expansion of 1/3 in re
2.835 * [backup-simplify]: Simplify 1/3 into 1/3
2.835 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.835 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.835 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.835 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.835 * [taylor]: Taking taylor expansion of re in re
2.835 * [backup-simplify]: Simplify 0 into 0
2.835 * [backup-simplify]: Simplify 1 into 1
2.835 * [backup-simplify]: Simplify (* 1 1) into 1
2.835 * [backup-simplify]: Simplify (/ 1 1) into 1
2.835 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.835 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.835 * [taylor]: Taking taylor expansion of im in re
2.835 * [backup-simplify]: Simplify im into im
2.835 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.835 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.836 * [backup-simplify]: Simplify (+ 1 0) into 1
2.836 * [backup-simplify]: Simplify (log 1) into 0
2.836 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
2.836 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re))
2.836 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3)
2.836 * [taylor]: Taking taylor expansion of (pow re -2/3) in im
2.836 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im
2.836 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im
2.836 * [taylor]: Taking taylor expansion of -2/3 in im
2.836 * [backup-simplify]: Simplify -2/3 into -2/3
2.836 * [taylor]: Taking taylor expansion of (log re) in im
2.836 * [taylor]: Taking taylor expansion of re in im
2.836 * [backup-simplify]: Simplify re into re
2.837 * [backup-simplify]: Simplify (log re) into (log re)
2.837 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re))
2.837 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3)
2.837 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3)
2.837 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.838 * [backup-simplify]: Simplify (+ 0 0) into 0
2.839 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
2.839 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
2.839 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0
2.841 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
2.841 * [taylor]: Taking taylor expansion of 0 in im
2.841 * [backup-simplify]: Simplify 0 into 0
2.841 * [backup-simplify]: Simplify 0 into 0
2.842 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
2.842 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0
2.843 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
2.843 * [backup-simplify]: Simplify 0 into 0
2.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.844 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.845 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2))
2.845 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
2.846 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2)))
2.846 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))))
2.846 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im
2.846 * [taylor]: Taking taylor expansion of 1/3 in im
2.846 * [backup-simplify]: Simplify 1/3 into 1/3
2.846 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im
2.846 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im
2.846 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im
2.846 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im
2.846 * [taylor]: Taking taylor expansion of 1/3 in im
2.847 * [backup-simplify]: Simplify 1/3 into 1/3
2.847 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im
2.847 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.847 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.847 * [taylor]: Taking taylor expansion of re in im
2.847 * [backup-simplify]: Simplify re into re
2.847 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.847 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.847 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2)))
2.847 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2))))
2.847 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3)
2.847 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.847 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.847 * [taylor]: Taking taylor expansion of im in im
2.847 * [backup-simplify]: Simplify 0 into 0
2.847 * [backup-simplify]: Simplify 1 into 1
2.847 * [backup-simplify]: Simplify (* 1 1) into 1
2.848 * [backup-simplify]: Simplify (/ 1 1) into 1
2.848 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.849 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.850 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.850 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
2.850 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0
2.851 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0
2.851 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
2.852 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
2.852 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0
2.853 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0
2.854 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0
2.855 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.856 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0
2.857 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0
2.857 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3)
2.858 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0
2.858 * [backup-simplify]: Simplify 0 into 0
2.858 * [backup-simplify]: Simplify 0 into 0
2.860 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
2.861 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0
2.862 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.862 * [backup-simplify]: Simplify 0 into 0
2.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.864 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.864 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.865 * [backup-simplify]: Simplify (+ 0 0) into 0
2.868 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
2.869 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
2.870 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0
2.872 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.872 * [taylor]: Taking taylor expansion of 0 in im
2.872 * [backup-simplify]: Simplify 0 into 0
2.872 * [backup-simplify]: Simplify 0 into 0
2.872 * [backup-simplify]: Simplify (pow (/ 1 re) -2/3) into (pow (/ 1 re) -2/3)
2.873 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3)
2.873 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in (re im) around 0
2.873 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in im
2.873 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
2.873 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
2.873 * [taylor]: Taking taylor expansion of 1/3 in im
2.873 * [backup-simplify]: Simplify 1/3 into 1/3
2.873 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.873 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.873 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.873 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.873 * [taylor]: Taking taylor expansion of re in im
2.873 * [backup-simplify]: Simplify re into re
2.873 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.873 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.873 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.873 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.873 * [taylor]: Taking taylor expansion of im in im
2.873 * [backup-simplify]: Simplify 0 into 0
2.873 * [backup-simplify]: Simplify 1 into 1
2.874 * [backup-simplify]: Simplify (* 1 1) into 1
2.874 * [backup-simplify]: Simplify (/ 1 1) into 1
2.875 * [backup-simplify]: Simplify (+ 0 1) into 1
2.875 * [backup-simplify]: Simplify (log 1) into 0
2.876 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
2.876 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im))
2.876 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3)
2.876 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re
2.876 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
2.876 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
2.876 * [taylor]: Taking taylor expansion of 1/3 in re
2.876 * [backup-simplify]: Simplify 1/3 into 1/3
2.876 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.876 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.876 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.876 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.876 * [taylor]: Taking taylor expansion of re in re
2.876 * [backup-simplify]: Simplify 0 into 0
2.876 * [backup-simplify]: Simplify 1 into 1
2.877 * [backup-simplify]: Simplify (* 1 1) into 1
2.877 * [backup-simplify]: Simplify (/ 1 1) into 1
2.877 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.877 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.877 * [taylor]: Taking taylor expansion of im in re
2.877 * [backup-simplify]: Simplify im into im
2.877 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.877 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.878 * [backup-simplify]: Simplify (+ 1 0) into 1
2.878 * [backup-simplify]: Simplify (log 1) into 0
2.879 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
2.879 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re))
2.879 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3)
2.879 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re
2.879 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
2.879 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
2.879 * [taylor]: Taking taylor expansion of 1/3 in re
2.879 * [backup-simplify]: Simplify 1/3 into 1/3
2.879 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.879 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.879 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.879 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.879 * [taylor]: Taking taylor expansion of re in re
2.879 * [backup-simplify]: Simplify 0 into 0
2.879 * [backup-simplify]: Simplify 1 into 1
2.879 * [backup-simplify]: Simplify (* 1 1) into 1
2.880 * [backup-simplify]: Simplify (/ 1 1) into 1
2.880 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.880 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.880 * [taylor]: Taking taylor expansion of im in re
2.880 * [backup-simplify]: Simplify im into im
2.880 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.880 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.881 * [backup-simplify]: Simplify (+ 1 0) into 1
2.881 * [backup-simplify]: Simplify (log 1) into 0
2.881 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
2.881 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re))
2.882 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3)
2.882 * [taylor]: Taking taylor expansion of (pow re -2/3) in im
2.882 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im
2.882 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im
2.882 * [taylor]: Taking taylor expansion of -2/3 in im
2.882 * [backup-simplify]: Simplify -2/3 into -2/3
2.882 * [taylor]: Taking taylor expansion of (log re) in im
2.882 * [taylor]: Taking taylor expansion of re in im
2.882 * [backup-simplify]: Simplify re into re
2.882 * [backup-simplify]: Simplify (log re) into (log re)
2.882 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re))
2.882 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3)
2.882 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3)
2.883 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.884 * [backup-simplify]: Simplify (+ 0 0) into 0
2.885 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
2.886 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
2.886 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0
2.887 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
2.887 * [taylor]: Taking taylor expansion of 0 in im
2.887 * [backup-simplify]: Simplify 0 into 0
2.887 * [backup-simplify]: Simplify 0 into 0
2.888 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
2.889 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0
2.890 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
2.890 * [backup-simplify]: Simplify 0 into 0
2.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.892 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.894 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2))
2.894 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
2.895 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2)))
2.896 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))))
2.896 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im
2.896 * [taylor]: Taking taylor expansion of 1/3 in im
2.896 * [backup-simplify]: Simplify 1/3 into 1/3
2.896 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im
2.896 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im
2.896 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im
2.896 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im
2.896 * [taylor]: Taking taylor expansion of 1/3 in im
2.896 * [backup-simplify]: Simplify 1/3 into 1/3
2.896 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im
2.896 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.896 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.896 * [taylor]: Taking taylor expansion of re in im
2.896 * [backup-simplify]: Simplify re into re
2.896 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.896 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.896 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2)))
2.897 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2))))
2.897 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3)
2.897 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.897 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.897 * [taylor]: Taking taylor expansion of im in im
2.897 * [backup-simplify]: Simplify 0 into 0
2.897 * [backup-simplify]: Simplify 1 into 1
2.897 * [backup-simplify]: Simplify (* 1 1) into 1
2.898 * [backup-simplify]: Simplify (/ 1 1) into 1
2.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.899 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.901 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.901 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
2.902 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0
2.903 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0
2.904 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
2.904 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
2.905 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0
2.907 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0
2.908 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0
2.909 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.910 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0
2.911 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0
2.911 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3)
2.912 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0
2.912 * [backup-simplify]: Simplify 0 into 0
2.912 * [backup-simplify]: Simplify 0 into 0
2.914 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
2.915 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0
2.917 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.917 * [backup-simplify]: Simplify 0 into 0
2.918 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.919 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.919 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.920 * [backup-simplify]: Simplify (+ 0 0) into 0
2.923 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
2.924 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
2.925 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0
2.927 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.927 * [taylor]: Taking taylor expansion of 0 in im
2.927 * [backup-simplify]: Simplify 0 into 0
2.928 * [backup-simplify]: Simplify 0 into 0
2.928 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -2/3) into (pow (/ -1 re) -2/3)
2.928 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1)
2.928 * [backup-simplify]: Simplify (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))))) into (sqrt (+ (pow im 2) (pow re 2)))
2.929 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
2.929 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
2.929 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
2.929 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.929 * [taylor]: Taking taylor expansion of im in im
2.929 * [backup-simplify]: Simplify 0 into 0
2.929 * [backup-simplify]: Simplify 1 into 1
2.929 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.929 * [taylor]: Taking taylor expansion of re in im
2.929 * [backup-simplify]: Simplify re into re
2.929 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.929 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
2.929 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.929 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.930 * [backup-simplify]: Simplify (+ 0 0) into 0
2.930 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.930 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.930 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.930 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.930 * [taylor]: Taking taylor expansion of im in re
2.930 * [backup-simplify]: Simplify im into im
2.930 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.930 * [taylor]: Taking taylor expansion of re in re
2.930 * [backup-simplify]: Simplify 0 into 0
2.930 * [backup-simplify]: Simplify 1 into 1
2.930 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.930 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.931 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.931 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.931 * [backup-simplify]: Simplify (+ 0 0) into 0
2.931 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.931 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.931 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.931 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.931 * [taylor]: Taking taylor expansion of im in re
2.931 * [backup-simplify]: Simplify im into im
2.931 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.931 * [taylor]: Taking taylor expansion of re in re
2.931 * [backup-simplify]: Simplify 0 into 0
2.931 * [backup-simplify]: Simplify 1 into 1
2.932 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.932 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.932 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.932 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.932 * [backup-simplify]: Simplify (+ 0 0) into 0
2.933 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.933 * [taylor]: Taking taylor expansion of im in im
2.933 * [backup-simplify]: Simplify 0 into 0
2.933 * [backup-simplify]: Simplify 1 into 1
2.933 * [backup-simplify]: Simplify 0 into 0
2.933 * [taylor]: Taking taylor expansion of 0 in im
2.933 * [backup-simplify]: Simplify 0 into 0
2.933 * [backup-simplify]: Simplify 0 into 0
2.933 * [backup-simplify]: Simplify 1 into 1
2.933 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.934 * [backup-simplify]: Simplify (* 1 1) into 1
2.934 * [backup-simplify]: Simplify (+ 0 1) into 1
2.935 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.935 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
2.935 * [taylor]: Taking taylor expansion of 1/2 in im
2.935 * [backup-simplify]: Simplify 1/2 into 1/2
2.935 * [taylor]: Taking taylor expansion of im in im
2.936 * [backup-simplify]: Simplify 0 into 0
2.936 * [backup-simplify]: Simplify 1 into 1
2.936 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.937 * [backup-simplify]: Simplify 0 into 0
2.937 * [backup-simplify]: Simplify 0 into 0
2.937 * [backup-simplify]: Simplify 0 into 0
2.938 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.939 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.939 * [backup-simplify]: Simplify (+ 0 0) into 0
2.939 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.939 * [taylor]: Taking taylor expansion of 0 in im
2.939 * [backup-simplify]: Simplify 0 into 0
2.939 * [backup-simplify]: Simplify 0 into 0
2.940 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.941 * [backup-simplify]: Simplify 0 into 0
2.941 * [backup-simplify]: Simplify 0 into 0
2.941 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
2.942 * [backup-simplify]: Simplify (sqrt (* (* (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
2.942 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
2.942 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.942 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.942 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.942 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.942 * [taylor]: Taking taylor expansion of re in im
2.942 * [backup-simplify]: Simplify re into re
2.942 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.942 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.942 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.942 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.942 * [taylor]: Taking taylor expansion of im in im
2.942 * [backup-simplify]: Simplify 0 into 0
2.942 * [backup-simplify]: Simplify 1 into 1
2.943 * [backup-simplify]: Simplify (* 1 1) into 1
2.943 * [backup-simplify]: Simplify (/ 1 1) into 1
2.944 * [backup-simplify]: Simplify (+ 0 1) into 1
2.944 * [backup-simplify]: Simplify (sqrt 1) into 1
2.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.946 * [backup-simplify]: Simplify (+ 0 0) into 0
2.946 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.946 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.946 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.946 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.946 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.946 * [taylor]: Taking taylor expansion of re in re
2.946 * [backup-simplify]: Simplify 0 into 0
2.946 * [backup-simplify]: Simplify 1 into 1
2.947 * [backup-simplify]: Simplify (* 1 1) into 1
2.947 * [backup-simplify]: Simplify (/ 1 1) into 1
2.947 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.947 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.947 * [taylor]: Taking taylor expansion of im in re
2.947 * [backup-simplify]: Simplify im into im
2.947 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.947 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.947 * [backup-simplify]: Simplify (+ 1 0) into 1
2.948 * [backup-simplify]: Simplify (sqrt 1) into 1
2.948 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.949 * [backup-simplify]: Simplify (+ 0 0) into 0
2.949 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.949 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.949 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.949 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.949 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.949 * [taylor]: Taking taylor expansion of re in re
2.949 * [backup-simplify]: Simplify 0 into 0
2.949 * [backup-simplify]: Simplify 1 into 1
2.950 * [backup-simplify]: Simplify (* 1 1) into 1
2.950 * [backup-simplify]: Simplify (/ 1 1) into 1
2.950 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.950 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.950 * [taylor]: Taking taylor expansion of im in re
2.950 * [backup-simplify]: Simplify im into im
2.950 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.950 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.950 * [backup-simplify]: Simplify (+ 1 0) into 1
2.951 * [backup-simplify]: Simplify (sqrt 1) into 1
2.951 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.952 * [backup-simplify]: Simplify (+ 0 0) into 0
2.952 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.952 * [taylor]: Taking taylor expansion of 1 in im
2.952 * [backup-simplify]: Simplify 1 into 1
2.952 * [taylor]: Taking taylor expansion of 0 in im
2.952 * [backup-simplify]: Simplify 0 into 0
2.952 * [backup-simplify]: Simplify 1 into 1
2.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.953 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.954 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.954 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.954 * [taylor]: Taking taylor expansion of 1/2 in im
2.954 * [backup-simplify]: Simplify 1/2 into 1/2
2.954 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.954 * [taylor]: Taking taylor expansion of im in im
2.954 * [backup-simplify]: Simplify 0 into 0
2.954 * [backup-simplify]: Simplify 1 into 1
2.955 * [backup-simplify]: Simplify (* 1 1) into 1
2.955 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.955 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.956 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.956 * [backup-simplify]: Simplify 0 into 0
2.956 * [backup-simplify]: Simplify 0 into 0
2.956 * [backup-simplify]: Simplify 0 into 0
2.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.957 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.957 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.958 * [backup-simplify]: Simplify (+ 0 0) into 0
2.958 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.958 * [taylor]: Taking taylor expansion of 0 in im
2.958 * [backup-simplify]: Simplify 0 into 0
2.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.959 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.959 * [backup-simplify]: Simplify 0 into 0
2.959 * [backup-simplify]: Simplify 0 into 0
2.959 * [backup-simplify]: Simplify 0 into 0
2.959 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
2.960 * [backup-simplify]: Simplify (sqrt (* (* (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
2.960 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
2.960 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.960 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.960 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.960 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.960 * [taylor]: Taking taylor expansion of re in im
2.960 * [backup-simplify]: Simplify re into re
2.960 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.960 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.960 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.960 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.960 * [taylor]: Taking taylor expansion of im in im
2.960 * [backup-simplify]: Simplify 0 into 0
2.960 * [backup-simplify]: Simplify 1 into 1
2.960 * [backup-simplify]: Simplify (* 1 1) into 1
2.961 * [backup-simplify]: Simplify (/ 1 1) into 1
2.961 * [backup-simplify]: Simplify (+ 0 1) into 1
2.961 * [backup-simplify]: Simplify (sqrt 1) into 1
2.962 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.962 * [backup-simplify]: Simplify (+ 0 0) into 0
2.963 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.963 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.963 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.963 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.963 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.963 * [taylor]: Taking taylor expansion of re in re
2.963 * [backup-simplify]: Simplify 0 into 0
2.963 * [backup-simplify]: Simplify 1 into 1
2.963 * [backup-simplify]: Simplify (* 1 1) into 1
2.963 * [backup-simplify]: Simplify (/ 1 1) into 1
2.963 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.963 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.963 * [taylor]: Taking taylor expansion of im in re
2.963 * [backup-simplify]: Simplify im into im
2.963 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.964 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.964 * [backup-simplify]: Simplify (+ 1 0) into 1
2.964 * [backup-simplify]: Simplify (sqrt 1) into 1
2.964 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.965 * [backup-simplify]: Simplify (+ 0 0) into 0
2.966 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.966 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.966 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.966 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.966 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.966 * [taylor]: Taking taylor expansion of re in re
2.966 * [backup-simplify]: Simplify 0 into 0
2.966 * [backup-simplify]: Simplify 1 into 1
2.966 * [backup-simplify]: Simplify (* 1 1) into 1
2.966 * [backup-simplify]: Simplify (/ 1 1) into 1
2.966 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.966 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.966 * [taylor]: Taking taylor expansion of im in re
2.966 * [backup-simplify]: Simplify im into im
2.966 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.966 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.967 * [backup-simplify]: Simplify (+ 1 0) into 1
2.967 * [backup-simplify]: Simplify (sqrt 1) into 1
2.967 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.969 * [backup-simplify]: Simplify (+ 0 0) into 0
2.970 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.970 * [taylor]: Taking taylor expansion of 1 in im
2.970 * [backup-simplify]: Simplify 1 into 1
2.970 * [taylor]: Taking taylor expansion of 0 in im
2.970 * [backup-simplify]: Simplify 0 into 0
2.970 * [backup-simplify]: Simplify 1 into 1
2.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.971 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.972 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.972 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.972 * [taylor]: Taking taylor expansion of 1/2 in im
2.972 * [backup-simplify]: Simplify 1/2 into 1/2
2.972 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.972 * [taylor]: Taking taylor expansion of im in im
2.972 * [backup-simplify]: Simplify 0 into 0
2.972 * [backup-simplify]: Simplify 1 into 1
2.973 * [backup-simplify]: Simplify (* 1 1) into 1
2.973 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.973 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.974 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.974 * [backup-simplify]: Simplify 0 into 0
2.974 * [backup-simplify]: Simplify 0 into 0
2.974 * [backup-simplify]: Simplify 0 into 0
2.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.975 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.975 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.975 * [backup-simplify]: Simplify (+ 0 0) into 0
2.976 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.976 * [taylor]: Taking taylor expansion of 0 in im
2.976 * [backup-simplify]: Simplify 0 into 0
2.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.977 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.977 * [backup-simplify]: Simplify 0 into 0
2.977 * [backup-simplify]: Simplify 0 into 0
2.977 * [backup-simplify]: Simplify 0 into 0
2.977 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
2.977 * * * [progress]: simplifying candidates
2.981 * [simplify]: Simplifying:
  (log (cbrt (+ (* re re) (* im im))))
  (exp (cbrt (+ (* re re) (* im im))))
  (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (cbrt (cbrt (+ (* re re) (* im im))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (cbrt 1)
  (cbrt (+ (* re re) (* im im)))
  (cbrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (cbrt (- (* re re) (* im im)))
  (* (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (cbrt (+ (* re re) (* im im)))))
  (cbrt (cbrt (+ (* re re) (* im im))))
  (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (log (cbrt (+ (* re re) (* im im))))
  (exp (cbrt (+ (* re re) (* im im))))
  (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (cbrt (cbrt (+ (* re re) (* im im))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (cbrt 1)
  (cbrt (+ (* re re) (* im im)))
  (cbrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (cbrt (- (* re re) (* im im)))
  (* (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (cbrt (+ (* re re) (* im im)))))
  (cbrt (cbrt (+ (* re re) (* im im))))
  (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (log (cbrt (+ (* re re) (* im im))))
  (exp (cbrt (+ (* re re) (* im im))))
  (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (cbrt (cbrt (+ (* re re) (* im im))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (cbrt 1)
  (cbrt (+ (* re re) (* im im)))
  (cbrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (cbrt (- (* re re) (* im im)))
  (* (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (cbrt (+ (* re re) (* im im)))))
  (cbrt (cbrt (+ (* re re) (* im im))))
  (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (log (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))))))
  (exp (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))))))
  (* (cbrt (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))))) (cbrt (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))))))
  (cbrt (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))))))
  (* (* (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))))) (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))))) (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (* (* (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (sqrt (* (* (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))
  (sqrt (* (* (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (sqrt (* (* (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (cbrt (- (* re re) (* im im)))))
  (sqrt (* (* (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (sqrt (* (* (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (cbrt (- (* re re) (* im im)))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))
  (sqrt (* (* (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (sqrt (* (* (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (cbrt (- (* re re) (* im im)))) (cbrt (- (* re re) (* im im)))))
  (sqrt (* (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (sqrt (* (* (cbrt (- (* re re) (* im im))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))
  (sqrt (* (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (sqrt (* (* (cbrt (- (* re re) (* im im))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (cbrt (- (* re re) (* im im)))))
  (sqrt (* (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (sqrt (* (* (cbrt (- (* re re) (* im im))) (cbrt (- (* re re) (* im im)))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))
  (sqrt (* (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (sqrt (* (* (cbrt (- (* re re) (* im im))) (cbrt (- (* re re) (* im im)))) (cbrt (- (* re re) (* im im)))))
  (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (sqrt (* (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))
  (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (sqrt (* (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (cbrt (- (* re re) (* im im)))))
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  (sqrt (* (cbrt (- (* re re) (* im im))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))
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  (sqrt (* (cbrt (- (* re re) (* im im))) (cbrt (- (* re re) (* im im)))))
  (sqrt (* (* (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (sqrt (* (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))
  (sqrt (* (* (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))) (cbrt (+ (* re re) (* im im)))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (sqrt (* (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (cbrt (- (* re re) (* im im)))))
  (sqrt (* (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (sqrt (* (cbrt (- (* re re) (* im im))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))
  (sqrt (* (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (+ (* re re) (* im im)))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (sqrt (* (cbrt (- (* re re) (* im im))) (cbrt (- (* re re) (* im im)))))
  (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (sqrt (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))
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  (sqrt (* (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))
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  (sqrt (* (cbrt (- (* re re) (* im im))) (cbrt (- (* re re) (* im im)))))
  (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))
  (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (- (* re re) (* im im))))
  (sqrt (* (* (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))
  (sqrt (* (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (- (* re re) (* im im))))
  (/ (+ (+ 1/3 1/3) 1/3) 2)
  (/ (+ (+ 1 1) 1) 2)
  (/ (+ 2 1) 2)
  (/ (+ (+ 1 1) 1) 2)
  (/ (+ (* 2 1/3) 1/3) 2)
  (/ (+ (* 2 1) 1) 2)
  (/ 1/3 2)
  (/ 1 2)
  (/ 1 2)
  (/ 3 2)
  (/ (+ (+ 1 1) 1) 2)
  (/ (+ 2 1) 2)
  (/ (+ (+ 1 1) 1) 2)
  (/ (+ (* 2 1) 1) 2)
  (/ 1 2)
  (sqrt (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))))))
  (sqrt (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))))))
  (+ (pow im 2/3) (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3))))
  (pow (/ 1 re) -2/3)
  (pow (/ -1 re) -2/3)
  (+ (pow im 2/3) (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3))))
  (pow (/ 1 re) -2/3)
  (pow (/ -1 re) -2/3)
  (+ (pow im 2/3) (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3))))
  (pow (/ 1 re) -2/3)
  (pow (/ -1 re) -2/3)
  im
  re
  (* -1 re)
2.987 * * [simplify]: iteration 0: 164 enodes
3.055 * * [simplify]: iteration 1: 305 enodes
3.137 * * [simplify]: iteration 2: 701 enodes
3.640 * * [simplify]: iteration 3: 2997 enodes
4.740 * * [simplify]: iteration complete: 5004 enodes
4.740 * * [simplify]: Extracting #0: cost 47 inf + 0
4.740 * * [simplify]: Extracting #1: cost 83 inf + 47
4.741 * * [simplify]: Extracting #2: cost 229 inf + 469
4.748 * * [simplify]: Extracting #3: cost 1269 inf + 10445
4.777 * * [simplify]: Extracting #4: cost 936 inf + 80672
4.816 * * [simplify]: Extracting #5: cost 183 inf + 181450
4.882 * * [simplify]: Extracting #6: cost 21 inf + 215637
4.954 * * [simplify]: Extracting #7: cost 1 inf + 221625
5.006 * * [simplify]: Extracting #8: cost 0 inf + 221878
5.063 * [simplify]: Simplified to:
  (log (cbrt (+ (* im im) (* re re))))
  (exp (cbrt (+ (* im im) (* re re))))
  (cbrt (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (* im im) (* re re)))))
  (cbrt (cbrt (+ (* im im) (* re re))))
  (cbrt (sqrt (+ (* im im) (* re re))))
  (cbrt (sqrt (+ (* im im) (* re re))))
  1
  (cbrt (+ (* im im) (* re re)))
  (cbrt (+ (* (* im im) (* (* im im) (* im im))) (* (* (* re re) (* re re)) (* re re))))
  (cbrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re))))
  (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (cbrt (* (- re im) (+ re im)))
  (* (cbrt (cbrt (+ (* im im) (* re re)))) (cbrt (cbrt (+ (* im im) (* re re)))))
  (cbrt (cbrt (+ (* im im) (* re re))))
  (+ (* im im) (* re re))
  (sqrt (cbrt (+ (* im im) (* re re))))
  (sqrt (cbrt (+ (* im im) (* re re))))
  (log (cbrt (+ (* im im) (* re re))))
  (exp (cbrt (+ (* im im) (* re re))))
  (cbrt (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (* im im) (* re re)))))
  (cbrt (cbrt (+ (* im im) (* re re))))
  (cbrt (sqrt (+ (* im im) (* re re))))
  (cbrt (sqrt (+ (* im im) (* re re))))
  1
  (cbrt (+ (* im im) (* re re)))
  (cbrt (+ (* (* im im) (* (* im im) (* im im))) (* (* (* re re) (* re re)) (* re re))))
  (cbrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re))))
  (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (cbrt (* (- re im) (+ re im)))
  (* (cbrt (cbrt (+ (* im im) (* re re)))) (cbrt (cbrt (+ (* im im) (* re re)))))
  (cbrt (cbrt (+ (* im im) (* re re))))
  (+ (* im im) (* re re))
  (sqrt (cbrt (+ (* im im) (* re re))))
  (sqrt (cbrt (+ (* im im) (* re re))))
  (log (cbrt (+ (* im im) (* re re))))
  (exp (cbrt (+ (* im im) (* re re))))
  (cbrt (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (* im im) (* re re)))))
  (cbrt (cbrt (+ (* im im) (* re re))))
  (cbrt (sqrt (+ (* im im) (* re re))))
  (cbrt (sqrt (+ (* im im) (* re re))))
  1
  (cbrt (+ (* im im) (* re re)))
  (cbrt (+ (* (* im im) (* (* im im) (* im im))) (* (* (* re re) (* re re)) (* re re))))
  (cbrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re))))
  (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (cbrt (* (- re im) (+ re im)))
  (* (cbrt (cbrt (+ (* im im) (* re re)))) (cbrt (cbrt (+ (* im im) (* re re)))))
  (cbrt (cbrt (+ (* im im) (* re re))))
  (+ (* im im) (* re re))
  (sqrt (cbrt (+ (* im im) (* re re))))
  (sqrt (cbrt (+ (* im im) (* re re))))
  (log (sqrt (+ (* im im) (* re re))))
  (exp (sqrt (+ (* im im) (* re re))))
  (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re)))))
  (cbrt (sqrt (+ (* im im) (* re re))))
  (* (+ (* im im) (* re re)) (sqrt (+ (* im im) (* re re))))
  (fabs (cbrt (+ (* im im) (* re re))))
  (sqrt (cbrt (+ (* im im) (* re re))))
  (sqrt (+ (* (* im im) (* (* im im) (* im im))) (* (* (* re re) (* re re)) (* re re))))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re))))
  (sqrt (* (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (+ (* (* im im) (* (* im im) (* im im))) (* (* (* re re) (* re re)) (* re re))))) (cbrt (+ (* (* im im) (* (* im im) (* im im))) (* (* (* re re) (* re re)) (* re re))))))
  (sqrt (* (* (cbrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re)))) (cbrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re))))) (cbrt (* (- re im) (+ re im)))))
  (sqrt (* (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (+ (* (* im im) (* (* im im) (* im im))) (* (* (* re re) (* re re)) (* re re))))) (cbrt (+ (* (* im im) (* (* im im) (* im im))) (* (* (* re re) (* re re)) (* re re))))))
  (sqrt (* (* (cbrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re)))) (cbrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re))))) (cbrt (* (- re im) (+ re im)))))
  (sqrt (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (+ (* (* im im) (* (* im im) (* im im))) (* (* (* re re) (* re re)) (* re re)))))))
  (sqrt (* (* (cbrt (* (- re im) (+ re im))) (cbrt (* (- re im) (+ re im)))) (cbrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re))))))
  (sqrt (* (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (+ (* (* im im) (* (* im im) (* im im))) (* (* (* re re) (* re re)) (* re re))))) (cbrt (+ (* (* im im) (* (* im im) (* im im))) (* (* (* re re) (* re re)) (* re re))))))
  (sqrt (* (* (cbrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re)))) (cbrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re))))) (cbrt (* (- re im) (+ re im)))))
  (sqrt (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (+ (* (* im im) (* (* im im) (* im im))) (* (* (* re re) (* re re)) (* re re)))))))
  (sqrt (* (* (cbrt (* (- re im) (+ re im))) (cbrt (* (- re im) (+ re im)))) (cbrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re))))))
  (sqrt (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (+ (* (* im im) (* (* im im) (* im im))) (* (* (* re re) (* re re)) (* re re)))))))
  (sqrt (* (* (cbrt (* (- re im) (+ re im))) (cbrt (* (- re im) (+ re im)))) (cbrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re))))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (* (- re im) (+ re im)))
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  (sqrt (* (cbrt (+ (* (* im im) (* (* im im) (* im im))) (* (* (* re re) (* re re)) (* re re)))) (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (+ (* im im) (* re re))))))
  (sqrt (* (cbrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re)))) (cbrt (* (- re im) (+ re im)))))
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  (sqrt (* (cbrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re)))) (cbrt (* (- re im) (+ re im)))))
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  (sqrt (* (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (* (* im im) (* (* im im) (* im im))) (* (* (* re re) (* re re)) (* re re))))) (cbrt (+ (* (* im im) (* (* im im) (* im im))) (* (* (* re re) (* re re)) (* re re))))))
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  (sqrt (* (cbrt (+ (* (* im im) (* (* im im) (* im im))) (* (* (* re re) (* re re)) (* re re)))) (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (+ (* im im) (* re re))))))
  (sqrt (* (cbrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re)))) (cbrt (* (- re im) (+ re im)))))
  (sqrt (* (cbrt (+ (* (* im im) (* (* im im) (* im im))) (* (* (* re re) (* re re)) (* re re)))) (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (+ (* im im) (* re re))))))
  (sqrt (* (cbrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re)))) (cbrt (* (- re im) (+ re im)))))
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  (sqrt (* (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (* (* im im) (* (* im im) (* im im))) (* (* (* re re) (* re re)) (* re re))))) (cbrt (+ (* (* im im) (* (* im im) (* im im))) (* (* (* re re) (* re re)) (* re re))))))
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  (sqrt (* (cbrt (+ (* (* im im) (* (* im im) (* im im))) (* (* (* re re) (* re re)) (* re re)))) (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (+ (* im im) (* re re))))))
  (sqrt (* (cbrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re)))) (cbrt (* (- re im) (+ re im)))))
  (sqrt (* (cbrt (+ (* (* im im) (* (* im im) (* im im))) (* (* (* re re) (* re re)) (* re re)))) (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (+ (* im im) (* re re))))))
  (sqrt (* (cbrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re)))) (cbrt (* (- re im) (+ re im)))))
  (sqrt (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (+ (* im im) (* re re))))))
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  (sqrt (cbrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re)))))
  (sqrt (* (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (* im im) (* re re)))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (sqrt (cbrt (* (- re im) (+ re im))))
  (sqrt (* (cbrt (+ (* im im) (* re re))) (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (* (* im im) (* (* im im) (* im im))) (* (* (* re re) (* re re)) (* re re)))))))
  (sqrt (cbrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re)))))
  (sqrt (* (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (* im im) (* re re)))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (sqrt (cbrt (* (- re im) (+ re im))))
  1/2
  3/2
  3/2
  3/2
  1/2
  3/2
  1/6
  1/2
  1/2
  3/2
  3/2
  3/2
  3/2
  3/2
  1/2
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (+ (* (* 1/3 (* (cbrt (/ 1 (* (* im im) (* im im)))) re)) re) (* (cbrt im) (cbrt im)))
  (pow (/ 1 re) -2/3)
  (pow (/ -1 re) -2/3)
  (+ (* (* 1/3 (* (cbrt (/ 1 (* (* im im) (* im im)))) re)) re) (* (cbrt im) (cbrt im)))
  (pow (/ 1 re) -2/3)
  (pow (/ -1 re) -2/3)
  (+ (* (* 1/3 (* (cbrt (/ 1 (* (* im im) (* im im)))) re)) re) (* (cbrt im) (cbrt im)))
  (pow (/ 1 re) -2/3)
  (pow (/ -1 re) -2/3)
  im
  re
  (- re)
5.102 * * * [progress]: adding candidates to table
5.758 * * [progress]: iteration 3 / 4
5.758 * * * [progress]: picking best candidate
5.802 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (/ (sqrt (* (+ (* im im) 0) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))>
5.802 * * * [progress]: localizing error
5.859 * * * [progress]: generating rewritten candidates
5.860 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1)
5.880 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 1)
5.891 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1)
5.927 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
6.019 * * * [progress]: generating series expansions
6.019 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1)
6.020 * [backup-simplify]: Simplify (sqrt (* (+ (* im im) 0) 2.0)) into (* (sqrt 2.0) im)
6.020 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) im) in (im) around 0
6.020 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im
6.020 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.020 * [taylor]: Taking taylor expansion of 2.0 in im
6.020 * [backup-simplify]: Simplify 2.0 into 2.0
6.021 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.021 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.022 * [taylor]: Taking taylor expansion of im in im
6.022 * [backup-simplify]: Simplify 0 into 0
6.022 * [backup-simplify]: Simplify 1 into 1
6.022 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im
6.022 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.022 * [taylor]: Taking taylor expansion of 2.0 in im
6.022 * [backup-simplify]: Simplify 2.0 into 2.0
6.022 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.023 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.023 * [taylor]: Taking taylor expansion of im in im
6.023 * [backup-simplify]: Simplify 0 into 0
6.023 * [backup-simplify]: Simplify 1 into 1
6.024 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
6.024 * [backup-simplify]: Simplify 0 into 0
6.026 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0)
6.026 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.027 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.029 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0
6.029 * [backup-simplify]: Simplify 0 into 0
6.030 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.031 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
6.031 * [backup-simplify]: Simplify 0 into 0
6.033 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.034 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
6.035 * [backup-simplify]: Simplify 0 into 0
6.036 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.038 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
6.038 * [backup-simplify]: Simplify 0 into 0
6.039 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.041 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
6.041 * [backup-simplify]: Simplify 0 into 0
6.043 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.045 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0
6.045 * [backup-simplify]: Simplify 0 into 0
6.045 * [backup-simplify]: Simplify (* (sqrt 2.0) im) into (* (sqrt 2.0) im)
6.045 * [backup-simplify]: Simplify (sqrt (* (+ (* (/ 1 im) (/ 1 im)) 0) 2.0)) into (/ (sqrt 2.0) im)
6.045 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) im) in (im) around 0
6.045 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
6.046 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.046 * [taylor]: Taking taylor expansion of 2.0 in im
6.046 * [backup-simplify]: Simplify 2.0 into 2.0
6.046 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.047 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.047 * [taylor]: Taking taylor expansion of im in im
6.047 * [backup-simplify]: Simplify 0 into 0
6.047 * [backup-simplify]: Simplify 1 into 1
6.048 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
6.048 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
6.048 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.048 * [taylor]: Taking taylor expansion of 2.0 in im
6.048 * [backup-simplify]: Simplify 2.0 into 2.0
6.048 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.049 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.049 * [taylor]: Taking taylor expansion of im in im
6.049 * [backup-simplify]: Simplify 0 into 0
6.049 * [backup-simplify]: Simplify 1 into 1
6.050 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
6.051 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.052 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
6.052 * [backup-simplify]: Simplify 0 into 0
6.053 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.054 * [backup-simplify]: Simplify 0 into 0
6.056 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.057 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.057 * [backup-simplify]: Simplify 0 into 0
6.058 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.060 * [backup-simplify]: Simplify 0 into 0
6.061 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.062 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.062 * [backup-simplify]: Simplify 0 into 0
6.063 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.063 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.064 * [backup-simplify]: Simplify 0 into 0
6.064 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ 1 (/ 1 im))) into (* (sqrt 2.0) im)
6.064 * [backup-simplify]: Simplify (sqrt (* (+ (* (/ 1 (- im)) (/ 1 (- im))) 0) 2.0)) into (/ (sqrt 2.0) im)
6.064 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) im) in (im) around 0
6.064 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
6.064 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.064 * [taylor]: Taking taylor expansion of 2.0 in im
6.064 * [backup-simplify]: Simplify 2.0 into 2.0
6.064 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.065 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.065 * [taylor]: Taking taylor expansion of im in im
6.065 * [backup-simplify]: Simplify 0 into 0
6.065 * [backup-simplify]: Simplify 1 into 1
6.065 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
6.065 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
6.065 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.065 * [taylor]: Taking taylor expansion of 2.0 in im
6.065 * [backup-simplify]: Simplify 2.0 into 2.0
6.066 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.066 * [taylor]: Taking taylor expansion of im in im
6.066 * [backup-simplify]: Simplify 0 into 0
6.066 * [backup-simplify]: Simplify 1 into 1
6.067 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
6.067 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.068 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
6.068 * [backup-simplify]: Simplify 0 into 0
6.068 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.069 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.069 * [backup-simplify]: Simplify 0 into 0
6.070 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.070 * [backup-simplify]: Simplify 0 into 0
6.071 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.072 * [backup-simplify]: Simplify 0 into 0
6.073 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.073 * [backup-simplify]: Simplify 0 into 0
6.074 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.075 * [backup-simplify]: Simplify 0 into 0
6.075 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ 1 (/ 1 (- im)))) into (* -1 (* (sqrt 2.0) im))
6.075 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 1)
6.075 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
6.075 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
6.075 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
6.075 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
6.075 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.075 * [taylor]: Taking taylor expansion of im in im
6.075 * [backup-simplify]: Simplify 0 into 0
6.075 * [backup-simplify]: Simplify 1 into 1
6.075 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.076 * [taylor]: Taking taylor expansion of re in im
6.076 * [backup-simplify]: Simplify re into re
6.076 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.076 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
6.076 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.076 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.076 * [backup-simplify]: Simplify (+ 0 0) into 0
6.076 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.076 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
6.076 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
6.076 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.076 * [taylor]: Taking taylor expansion of im in re
6.076 * [backup-simplify]: Simplify im into im
6.076 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.076 * [taylor]: Taking taylor expansion of re in re
6.076 * [backup-simplify]: Simplify 0 into 0
6.076 * [backup-simplify]: Simplify 1 into 1
6.076 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.076 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
6.077 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.077 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.077 * [backup-simplify]: Simplify (+ 0 0) into 0
6.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.077 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
6.077 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
6.077 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.077 * [taylor]: Taking taylor expansion of im in re
6.077 * [backup-simplify]: Simplify im into im
6.077 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.077 * [taylor]: Taking taylor expansion of re in re
6.077 * [backup-simplify]: Simplify 0 into 0
6.077 * [backup-simplify]: Simplify 1 into 1
6.077 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.077 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
6.077 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.077 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.078 * [backup-simplify]: Simplify (+ 0 0) into 0
6.078 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.078 * [taylor]: Taking taylor expansion of im in im
6.078 * [backup-simplify]: Simplify 0 into 0
6.078 * [backup-simplify]: Simplify 1 into 1
6.078 * [backup-simplify]: Simplify 0 into 0
6.078 * [taylor]: Taking taylor expansion of 0 in im
6.078 * [backup-simplify]: Simplify 0 into 0
6.078 * [backup-simplify]: Simplify 0 into 0
6.078 * [backup-simplify]: Simplify 1 into 1
6.078 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.078 * [backup-simplify]: Simplify (* 1 1) into 1
6.079 * [backup-simplify]: Simplify (+ 0 1) into 1
6.079 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.079 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
6.079 * [taylor]: Taking taylor expansion of 1/2 in im
6.079 * [backup-simplify]: Simplify 1/2 into 1/2
6.079 * [taylor]: Taking taylor expansion of im in im
6.079 * [backup-simplify]: Simplify 0 into 0
6.079 * [backup-simplify]: Simplify 1 into 1
6.080 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.080 * [backup-simplify]: Simplify 0 into 0
6.080 * [backup-simplify]: Simplify 0 into 0
6.080 * [backup-simplify]: Simplify 0 into 0
6.081 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.081 * [backup-simplify]: Simplify (+ 0 0) into 0
6.081 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.081 * [taylor]: Taking taylor expansion of 0 in im
6.081 * [backup-simplify]: Simplify 0 into 0
6.081 * [backup-simplify]: Simplify 0 into 0
6.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.082 * [backup-simplify]: Simplify 0 into 0
6.082 * [backup-simplify]: Simplify 0 into 0
6.082 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
6.082 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
6.082 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
6.082 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.082 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.082 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.082 * [taylor]: Taking taylor expansion of re in im
6.082 * [backup-simplify]: Simplify re into re
6.082 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.083 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.083 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.083 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.083 * [taylor]: Taking taylor expansion of im in im
6.083 * [backup-simplify]: Simplify 0 into 0
6.083 * [backup-simplify]: Simplify 1 into 1
6.083 * [backup-simplify]: Simplify (* 1 1) into 1
6.083 * [backup-simplify]: Simplify (/ 1 1) into 1
6.083 * [backup-simplify]: Simplify (+ 0 1) into 1
6.084 * [backup-simplify]: Simplify (sqrt 1) into 1
6.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.085 * [backup-simplify]: Simplify (+ 0 0) into 0
6.085 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.085 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.085 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.085 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.085 * [taylor]: Taking taylor expansion of re in re
6.085 * [backup-simplify]: Simplify 0 into 0
6.085 * [backup-simplify]: Simplify 1 into 1
6.086 * [backup-simplify]: Simplify (* 1 1) into 1
6.086 * [backup-simplify]: Simplify (/ 1 1) into 1
6.086 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.086 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.086 * [taylor]: Taking taylor expansion of im in re
6.086 * [backup-simplify]: Simplify im into im
6.086 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.086 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.086 * [backup-simplify]: Simplify (+ 1 0) into 1
6.087 * [backup-simplify]: Simplify (sqrt 1) into 1
6.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.088 * [backup-simplify]: Simplify (+ 0 0) into 0
6.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.088 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.088 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.088 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.088 * [taylor]: Taking taylor expansion of re in re
6.088 * [backup-simplify]: Simplify 0 into 0
6.088 * [backup-simplify]: Simplify 1 into 1
6.088 * [backup-simplify]: Simplify (* 1 1) into 1
6.089 * [backup-simplify]: Simplify (/ 1 1) into 1
6.089 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.089 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.089 * [taylor]: Taking taylor expansion of im in re
6.089 * [backup-simplify]: Simplify im into im
6.089 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.089 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.089 * [backup-simplify]: Simplify (+ 1 0) into 1
6.089 * [backup-simplify]: Simplify (sqrt 1) into 1
6.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.090 * [backup-simplify]: Simplify (+ 0 0) into 0
6.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.091 * [taylor]: Taking taylor expansion of 1 in im
6.091 * [backup-simplify]: Simplify 1 into 1
6.091 * [taylor]: Taking taylor expansion of 0 in im
6.091 * [backup-simplify]: Simplify 0 into 0
6.091 * [backup-simplify]: Simplify 1 into 1
6.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.092 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.095 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.095 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.095 * [taylor]: Taking taylor expansion of 1/2 in im
6.095 * [backup-simplify]: Simplify 1/2 into 1/2
6.095 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.095 * [taylor]: Taking taylor expansion of im in im
6.095 * [backup-simplify]: Simplify 0 into 0
6.095 * [backup-simplify]: Simplify 1 into 1
6.096 * [backup-simplify]: Simplify (* 1 1) into 1
6.096 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.098 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.098 * [backup-simplify]: Simplify 0 into 0
6.098 * [backup-simplify]: Simplify 0 into 0
6.098 * [backup-simplify]: Simplify 0 into 0
6.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.100 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.100 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.101 * [backup-simplify]: Simplify (+ 0 0) into 0
6.102 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.102 * [taylor]: Taking taylor expansion of 0 in im
6.102 * [backup-simplify]: Simplify 0 into 0
6.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.104 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.104 * [backup-simplify]: Simplify 0 into 0
6.104 * [backup-simplify]: Simplify 0 into 0
6.104 * [backup-simplify]: Simplify 0 into 0
6.104 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
6.104 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
6.104 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
6.104 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.104 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.104 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.104 * [taylor]: Taking taylor expansion of re in im
6.104 * [backup-simplify]: Simplify re into re
6.104 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.105 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.105 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.105 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.105 * [taylor]: Taking taylor expansion of im in im
6.105 * [backup-simplify]: Simplify 0 into 0
6.105 * [backup-simplify]: Simplify 1 into 1
6.105 * [backup-simplify]: Simplify (* 1 1) into 1
6.106 * [backup-simplify]: Simplify (/ 1 1) into 1
6.106 * [backup-simplify]: Simplify (+ 0 1) into 1
6.107 * [backup-simplify]: Simplify (sqrt 1) into 1
6.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.108 * [backup-simplify]: Simplify (+ 0 0) into 0
6.109 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.109 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.109 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.109 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.109 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.109 * [taylor]: Taking taylor expansion of re in re
6.109 * [backup-simplify]: Simplify 0 into 0
6.109 * [backup-simplify]: Simplify 1 into 1
6.110 * [backup-simplify]: Simplify (* 1 1) into 1
6.110 * [backup-simplify]: Simplify (/ 1 1) into 1
6.110 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.110 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.110 * [taylor]: Taking taylor expansion of im in re
6.110 * [backup-simplify]: Simplify im into im
6.110 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.110 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.111 * [backup-simplify]: Simplify (+ 1 0) into 1
6.111 * [backup-simplify]: Simplify (sqrt 1) into 1
6.112 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.113 * [backup-simplify]: Simplify (+ 0 0) into 0
6.114 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.114 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.114 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.114 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.114 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.114 * [taylor]: Taking taylor expansion of re in re
6.114 * [backup-simplify]: Simplify 0 into 0
6.114 * [backup-simplify]: Simplify 1 into 1
6.114 * [backup-simplify]: Simplify (* 1 1) into 1
6.115 * [backup-simplify]: Simplify (/ 1 1) into 1
6.115 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.115 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.115 * [taylor]: Taking taylor expansion of im in re
6.115 * [backup-simplify]: Simplify im into im
6.115 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.115 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.116 * [backup-simplify]: Simplify (+ 1 0) into 1
6.116 * [backup-simplify]: Simplify (sqrt 1) into 1
6.117 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.118 * [backup-simplify]: Simplify (+ 0 0) into 0
6.119 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.119 * [taylor]: Taking taylor expansion of 1 in im
6.119 * [backup-simplify]: Simplify 1 into 1
6.119 * [taylor]: Taking taylor expansion of 0 in im
6.119 * [backup-simplify]: Simplify 0 into 0
6.119 * [backup-simplify]: Simplify 1 into 1
6.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.121 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.122 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.122 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.122 * [taylor]: Taking taylor expansion of 1/2 in im
6.122 * [backup-simplify]: Simplify 1/2 into 1/2
6.122 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.122 * [taylor]: Taking taylor expansion of im in im
6.122 * [backup-simplify]: Simplify 0 into 0
6.122 * [backup-simplify]: Simplify 1 into 1
6.122 * [backup-simplify]: Simplify (* 1 1) into 1
6.123 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.123 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.124 * [backup-simplify]: Simplify 0 into 0
6.124 * [backup-simplify]: Simplify 0 into 0
6.124 * [backup-simplify]: Simplify 0 into 0
6.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.125 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.125 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.125 * [backup-simplify]: Simplify (+ 0 0) into 0
6.126 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.126 * [taylor]: Taking taylor expansion of 0 in im
6.126 * [backup-simplify]: Simplify 0 into 0
6.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.127 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.127 * [backup-simplify]: Simplify 0 into 0
6.127 * [backup-simplify]: Simplify 0 into 0
6.127 * [backup-simplify]: Simplify 0 into 0
6.127 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
6.127 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1)
6.127 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re)
6.127 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0
6.127 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im
6.127 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
6.127 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
6.127 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.127 * [taylor]: Taking taylor expansion of im in im
6.127 * [backup-simplify]: Simplify 0 into 0
6.127 * [backup-simplify]: Simplify 1 into 1
6.127 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.127 * [taylor]: Taking taylor expansion of re in im
6.127 * [backup-simplify]: Simplify re into re
6.127 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.128 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
6.128 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.128 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.128 * [backup-simplify]: Simplify (+ 0 0) into 0
6.128 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.128 * [taylor]: Taking taylor expansion of re in im
6.128 * [backup-simplify]: Simplify re into re
6.128 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
6.128 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
6.128 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
6.128 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.128 * [taylor]: Taking taylor expansion of im in re
6.128 * [backup-simplify]: Simplify im into im
6.128 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.128 * [taylor]: Taking taylor expansion of re in re
6.128 * [backup-simplify]: Simplify 0 into 0
6.128 * [backup-simplify]: Simplify 1 into 1
6.128 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.128 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
6.128 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.129 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.129 * [backup-simplify]: Simplify (+ 0 0) into 0
6.129 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.129 * [taylor]: Taking taylor expansion of re in re
6.129 * [backup-simplify]: Simplify 0 into 0
6.129 * [backup-simplify]: Simplify 1 into 1
6.129 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
6.129 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
6.129 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
6.129 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.129 * [taylor]: Taking taylor expansion of im in re
6.129 * [backup-simplify]: Simplify im into im
6.129 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.129 * [taylor]: Taking taylor expansion of re in re
6.129 * [backup-simplify]: Simplify 0 into 0
6.129 * [backup-simplify]: Simplify 1 into 1
6.129 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.129 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
6.129 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.129 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.130 * [backup-simplify]: Simplify (+ 0 0) into 0
6.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.130 * [taylor]: Taking taylor expansion of re in re
6.130 * [backup-simplify]: Simplify 0 into 0
6.130 * [backup-simplify]: Simplify 1 into 1
6.130 * [backup-simplify]: Simplify (- 0) into 0
6.130 * [backup-simplify]: Simplify (+ im 0) into im
6.130 * [taylor]: Taking taylor expansion of im in im
6.130 * [backup-simplify]: Simplify 0 into 0
6.130 * [backup-simplify]: Simplify 1 into 1
6.130 * [backup-simplify]: Simplify 0 into 0
6.130 * [backup-simplify]: Simplify (- 1) into -1
6.131 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.131 * [taylor]: Taking taylor expansion of -1 in im
6.131 * [backup-simplify]: Simplify -1 into -1
6.131 * [backup-simplify]: Simplify -1 into -1
6.131 * [backup-simplify]: Simplify 1 into 1
6.131 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.131 * [backup-simplify]: Simplify (* 1 1) into 1
6.132 * [backup-simplify]: Simplify (+ 0 1) into 1
6.132 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.132 * [backup-simplify]: Simplify (- 0) into 0
6.132 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
6.132 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
6.132 * [taylor]: Taking taylor expansion of 1/2 in im
6.132 * [backup-simplify]: Simplify 1/2 into 1/2
6.132 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.132 * [taylor]: Taking taylor expansion of im in im
6.132 * [backup-simplify]: Simplify 0 into 0
6.132 * [backup-simplify]: Simplify 1 into 1
6.133 * [backup-simplify]: Simplify (/ 1 1) into 1
6.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.133 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.134 * [backup-simplify]: Simplify 0 into 0
6.134 * [backup-simplify]: Simplify 0 into 0
6.134 * [backup-simplify]: Simplify 0 into 0
6.134 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.135 * [backup-simplify]: Simplify (+ 0 0) into 0
6.135 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.135 * [backup-simplify]: Simplify (- 0) into 0
6.135 * [backup-simplify]: Simplify (+ 0 0) into 0
6.135 * [taylor]: Taking taylor expansion of 0 in im
6.135 * [backup-simplify]: Simplify 0 into 0
6.135 * [backup-simplify]: Simplify 0 into 0
6.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.136 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.136 * [backup-simplify]: Simplify 0 into 0
6.136 * [backup-simplify]: Simplify 0 into 0
6.137 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
6.137 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))
6.137 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
6.137 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
6.137 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.137 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.137 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.137 * [taylor]: Taking taylor expansion of re in im
6.137 * [backup-simplify]: Simplify re into re
6.137 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.137 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.137 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.137 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.137 * [taylor]: Taking taylor expansion of im in im
6.137 * [backup-simplify]: Simplify 0 into 0
6.137 * [backup-simplify]: Simplify 1 into 1
6.137 * [backup-simplify]: Simplify (* 1 1) into 1
6.138 * [backup-simplify]: Simplify (/ 1 1) into 1
6.138 * [backup-simplify]: Simplify (+ 0 1) into 1
6.138 * [backup-simplify]: Simplify (sqrt 1) into 1
6.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.139 * [backup-simplify]: Simplify (+ 0 0) into 0
6.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.140 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.140 * [taylor]: Taking taylor expansion of re in im
6.140 * [backup-simplify]: Simplify re into re
6.140 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.140 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
6.140 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.140 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.140 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.140 * [taylor]: Taking taylor expansion of re in re
6.140 * [backup-simplify]: Simplify 0 into 0
6.140 * [backup-simplify]: Simplify 1 into 1
6.140 * [backup-simplify]: Simplify (* 1 1) into 1
6.140 * [backup-simplify]: Simplify (/ 1 1) into 1
6.140 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.140 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.140 * [taylor]: Taking taylor expansion of im in re
6.140 * [backup-simplify]: Simplify im into im
6.140 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.141 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.141 * [backup-simplify]: Simplify (+ 1 0) into 1
6.141 * [backup-simplify]: Simplify (sqrt 1) into 1
6.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.142 * [backup-simplify]: Simplify (+ 0 0) into 0
6.143 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.143 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.143 * [taylor]: Taking taylor expansion of re in re
6.143 * [backup-simplify]: Simplify 0 into 0
6.143 * [backup-simplify]: Simplify 1 into 1
6.143 * [backup-simplify]: Simplify (/ 1 1) into 1
6.143 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
6.143 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.143 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.143 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.143 * [taylor]: Taking taylor expansion of re in re
6.143 * [backup-simplify]: Simplify 0 into 0
6.143 * [backup-simplify]: Simplify 1 into 1
6.143 * [backup-simplify]: Simplify (* 1 1) into 1
6.144 * [backup-simplify]: Simplify (/ 1 1) into 1
6.144 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.144 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.144 * [taylor]: Taking taylor expansion of im in re
6.144 * [backup-simplify]: Simplify im into im
6.144 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.144 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.144 * [backup-simplify]: Simplify (+ 1 0) into 1
6.144 * [backup-simplify]: Simplify (sqrt 1) into 1
6.145 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.145 * [backup-simplify]: Simplify (+ 0 0) into 0
6.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.146 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.146 * [taylor]: Taking taylor expansion of re in re
6.146 * [backup-simplify]: Simplify 0 into 0
6.146 * [backup-simplify]: Simplify 1 into 1
6.146 * [backup-simplify]: Simplify (/ 1 1) into 1
6.146 * [backup-simplify]: Simplify (- 1) into -1
6.147 * [backup-simplify]: Simplify (+ 1 -1) into 0
6.147 * [taylor]: Taking taylor expansion of 0 in im
6.147 * [backup-simplify]: Simplify 0 into 0
6.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.148 * [backup-simplify]: Simplify (- 0) into 0
6.148 * [backup-simplify]: Simplify (+ 0 0) into 0
6.148 * [taylor]: Taking taylor expansion of 0 in im
6.148 * [backup-simplify]: Simplify 0 into 0
6.148 * [backup-simplify]: Simplify 0 into 0
6.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.149 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.151 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.152 * [backup-simplify]: Simplify (- 0) into 0
6.152 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
6.152 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
6.152 * [taylor]: Taking taylor expansion of 1/2 in im
6.152 * [backup-simplify]: Simplify 1/2 into 1/2
6.152 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.152 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.152 * [taylor]: Taking taylor expansion of im in im
6.152 * [backup-simplify]: Simplify 0 into 0
6.152 * [backup-simplify]: Simplify 1 into 1
6.153 * [backup-simplify]: Simplify (* 1 1) into 1
6.153 * [backup-simplify]: Simplify (/ 1 1) into 1
6.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.155 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.155 * [backup-simplify]: Simplify 0 into 0
6.155 * [backup-simplify]: Simplify 0 into 0
6.156 * [backup-simplify]: Simplify 0 into 0
6.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.158 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.158 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.159 * [backup-simplify]: Simplify (+ 0 0) into 0
6.159 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.161 * [backup-simplify]: Simplify (- 0) into 0
6.161 * [backup-simplify]: Simplify (+ 0 0) into 0
6.161 * [taylor]: Taking taylor expansion of 0 in im
6.161 * [backup-simplify]: Simplify 0 into 0
6.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.164 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.164 * [backup-simplify]: Simplify 0 into 0
6.164 * [backup-simplify]: Simplify 0 into 0
6.164 * [backup-simplify]: Simplify 0 into 0
6.164 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))
6.165 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
6.165 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
6.165 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.165 * [taylor]: Taking taylor expansion of re in im
6.165 * [backup-simplify]: Simplify re into re
6.165 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.165 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.165 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.165 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.165 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.165 * [taylor]: Taking taylor expansion of re in im
6.165 * [backup-simplify]: Simplify re into re
6.165 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.165 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.165 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.165 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.165 * [taylor]: Taking taylor expansion of im in im
6.165 * [backup-simplify]: Simplify 0 into 0
6.165 * [backup-simplify]: Simplify 1 into 1
6.166 * [backup-simplify]: Simplify (* 1 1) into 1
6.166 * [backup-simplify]: Simplify (/ 1 1) into 1
6.167 * [backup-simplify]: Simplify (+ 0 1) into 1
6.167 * [backup-simplify]: Simplify (sqrt 1) into 1
6.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.169 * [backup-simplify]: Simplify (+ 0 0) into 0
6.170 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.170 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
6.170 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.170 * [taylor]: Taking taylor expansion of re in re
6.170 * [backup-simplify]: Simplify 0 into 0
6.170 * [backup-simplify]: Simplify 1 into 1
6.170 * [backup-simplify]: Simplify (/ 1 1) into 1
6.170 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.170 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.170 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.170 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.170 * [taylor]: Taking taylor expansion of re in re
6.170 * [backup-simplify]: Simplify 0 into 0
6.170 * [backup-simplify]: Simplify 1 into 1
6.171 * [backup-simplify]: Simplify (* 1 1) into 1
6.171 * [backup-simplify]: Simplify (/ 1 1) into 1
6.171 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.171 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.171 * [taylor]: Taking taylor expansion of im in re
6.171 * [backup-simplify]: Simplify im into im
6.171 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.172 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.172 * [backup-simplify]: Simplify (+ 1 0) into 1
6.172 * [backup-simplify]: Simplify (sqrt 1) into 1
6.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.174 * [backup-simplify]: Simplify (+ 0 0) into 0
6.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.174 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
6.174 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.174 * [taylor]: Taking taylor expansion of re in re
6.175 * [backup-simplify]: Simplify 0 into 0
6.175 * [backup-simplify]: Simplify 1 into 1
6.175 * [backup-simplify]: Simplify (/ 1 1) into 1
6.175 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.175 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.175 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.175 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.175 * [taylor]: Taking taylor expansion of re in re
6.175 * [backup-simplify]: Simplify 0 into 0
6.175 * [backup-simplify]: Simplify 1 into 1
6.175 * [backup-simplify]: Simplify (* 1 1) into 1
6.175 * [backup-simplify]: Simplify (/ 1 1) into 1
6.175 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.175 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.175 * [taylor]: Taking taylor expansion of im in re
6.175 * [backup-simplify]: Simplify im into im
6.175 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.176 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.176 * [backup-simplify]: Simplify (+ 1 0) into 1
6.176 * [backup-simplify]: Simplify (sqrt 1) into 1
6.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.177 * [backup-simplify]: Simplify (+ 0 0) into 0
6.178 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.178 * [backup-simplify]: Simplify (+ 1 1) into 2
6.178 * [taylor]: Taking taylor expansion of 2 in im
6.178 * [backup-simplify]: Simplify 2 into 2
6.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.179 * [backup-simplify]: Simplify (+ 0 0) into 0
6.179 * [taylor]: Taking taylor expansion of 0 in im
6.179 * [backup-simplify]: Simplify 0 into 0
6.179 * [backup-simplify]: Simplify 2 into 2
6.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.180 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.181 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.181 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
6.181 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
6.181 * [taylor]: Taking taylor expansion of 1/2 in im
6.181 * [backup-simplify]: Simplify 1/2 into 1/2
6.181 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.181 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.181 * [taylor]: Taking taylor expansion of im in im
6.181 * [backup-simplify]: Simplify 0 into 0
6.182 * [backup-simplify]: Simplify 1 into 1
6.182 * [backup-simplify]: Simplify (* 1 1) into 1
6.182 * [backup-simplify]: Simplify (/ 1 1) into 1
6.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.183 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.183 * [backup-simplify]: Simplify 0 into 0
6.183 * [backup-simplify]: Simplify 0 into 0
6.183 * [backup-simplify]: Simplify 0 into 0
6.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.185 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.185 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.186 * [backup-simplify]: Simplify (+ 0 0) into 0
6.186 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.186 * [backup-simplify]: Simplify (+ 0 0) into 0
6.186 * [taylor]: Taking taylor expansion of 0 in im
6.186 * [backup-simplify]: Simplify 0 into 0
6.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.188 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.188 * [backup-simplify]: Simplify 0 into 0
6.188 * [backup-simplify]: Simplify 0 into 0
6.188 * [backup-simplify]: Simplify 0 into 0
6.188 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
6.188 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
6.188 * [backup-simplify]: Simplify (/ (sqrt (* (+ (* im im) 0) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) into (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))))
6.188 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in (im re) around 0
6.188 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in re
6.188 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re
6.188 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.188 * [taylor]: Taking taylor expansion of 2.0 in re
6.188 * [backup-simplify]: Simplify 2.0 into 2.0
6.189 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.189 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.189 * [taylor]: Taking taylor expansion of im in re
6.189 * [backup-simplify]: Simplify im into im
6.189 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in re
6.189 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re
6.189 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
6.189 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
6.189 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
6.189 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.189 * [taylor]: Taking taylor expansion of im in re
6.189 * [backup-simplify]: Simplify im into im
6.189 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.189 * [taylor]: Taking taylor expansion of re in re
6.189 * [backup-simplify]: Simplify 0 into 0
6.189 * [backup-simplify]: Simplify 1 into 1
6.189 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.190 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
6.190 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.190 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.190 * [backup-simplify]: Simplify (+ 0 0) into 0
6.190 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.190 * [taylor]: Taking taylor expansion of re in re
6.190 * [backup-simplify]: Simplify 0 into 0
6.190 * [backup-simplify]: Simplify 1 into 1
6.190 * [backup-simplify]: Simplify (- 0) into 0
6.190 * [backup-simplify]: Simplify (+ im 0) into im
6.190 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.190 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im))
6.191 * [backup-simplify]: Simplify (- 1) into -1
6.191 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.191 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ -1 im)))) into (/ 1 (pow im 2))
6.191 * [backup-simplify]: Simplify (/ (/ 1 (pow im 2)) (* 2 (sqrt (/ 1 im)))) into (* 1/2 (sqrt (/ 1 (pow im 3))))
6.191 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in im
6.191 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im
6.191 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.191 * [taylor]: Taking taylor expansion of 2.0 in im
6.191 * [backup-simplify]: Simplify 2.0 into 2.0
6.192 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.192 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.192 * [taylor]: Taking taylor expansion of im in im
6.192 * [backup-simplify]: Simplify 0 into 0
6.192 * [backup-simplify]: Simplify 1 into 1
6.192 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im
6.192 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im
6.192 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im
6.192 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
6.192 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
6.192 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.192 * [taylor]: Taking taylor expansion of im in im
6.192 * [backup-simplify]: Simplify 0 into 0
6.192 * [backup-simplify]: Simplify 1 into 1
6.192 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.192 * [taylor]: Taking taylor expansion of re in im
6.192 * [backup-simplify]: Simplify re into re
6.192 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.192 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
6.193 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.193 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.193 * [backup-simplify]: Simplify (+ 0 0) into 0
6.193 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.193 * [taylor]: Taking taylor expansion of re in im
6.193 * [backup-simplify]: Simplify re into re
6.193 * [backup-simplify]: Simplify (- re) into (- re)
6.193 * [backup-simplify]: Simplify (+ re (- re)) into 0
6.193 * [backup-simplify]: Simplify (- 0) into 0
6.193 * [backup-simplify]: Simplify (+ 0 0) into 0
6.194 * [backup-simplify]: Simplify (* 1 1) into 1
6.194 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
6.194 * [backup-simplify]: Simplify (+ 1 0) into 1
6.195 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
6.195 * [backup-simplify]: Simplify (- 0) into 0
6.195 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
6.195 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re)
6.195 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re))
6.196 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.196 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
6.196 * [backup-simplify]: Simplify (+ 0 0) into 0
6.196 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
6.197 * [backup-simplify]: Simplify (- 0) into 0
6.197 * [backup-simplify]: Simplify (+ 0 0) into 0
6.197 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0
6.197 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
6.197 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in im
6.197 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im
6.197 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.197 * [taylor]: Taking taylor expansion of 2.0 in im
6.197 * [backup-simplify]: Simplify 2.0 into 2.0
6.197 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.198 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.198 * [taylor]: Taking taylor expansion of im in im
6.198 * [backup-simplify]: Simplify 0 into 0
6.198 * [backup-simplify]: Simplify 1 into 1
6.198 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im
6.198 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im
6.198 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im
6.198 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
6.198 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
6.198 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.198 * [taylor]: Taking taylor expansion of im in im
6.198 * [backup-simplify]: Simplify 0 into 0
6.198 * [backup-simplify]: Simplify 1 into 1
6.198 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.198 * [taylor]: Taking taylor expansion of re in im
6.198 * [backup-simplify]: Simplify re into re
6.198 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.198 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
6.198 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.198 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.199 * [backup-simplify]: Simplify (+ 0 0) into 0
6.199 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.199 * [taylor]: Taking taylor expansion of re in im
6.199 * [backup-simplify]: Simplify re into re
6.199 * [backup-simplify]: Simplify (- re) into (- re)
6.199 * [backup-simplify]: Simplify (+ re (- re)) into 0
6.199 * [backup-simplify]: Simplify (- 0) into 0
6.199 * [backup-simplify]: Simplify (+ 0 0) into 0
6.200 * [backup-simplify]: Simplify (* 1 1) into 1
6.200 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
6.200 * [backup-simplify]: Simplify (+ 1 0) into 1
6.201 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
6.201 * [backup-simplify]: Simplify (- 0) into 0
6.201 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
6.201 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re)
6.201 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re))
6.201 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.202 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
6.203 * [backup-simplify]: Simplify (+ 0 0) into 0
6.203 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
6.203 * [backup-simplify]: Simplify (- 0) into 0
6.204 * [backup-simplify]: Simplify (+ 0 0) into 0
6.204 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0
6.204 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
6.204 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
6.205 * [backup-simplify]: Simplify (* 0 (* (sqrt 2) (sqrt re))) into 0
6.205 * [taylor]: Taking taylor expansion of 0 in re
6.205 * [backup-simplify]: Simplify 0 into 0
6.205 * [backup-simplify]: Simplify 0 into 0
6.207 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0)
6.210 * [backup-simplify]: Simplify (+ (* 0 0) (* (sqrt 2.0) (* (sqrt 2) (sqrt re)))) into (* (* (sqrt 2.0) (sqrt 2)) (sqrt re))
6.210 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 2)) (sqrt re)) in re
6.210 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 2)) in re
6.211 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.211 * [taylor]: Taking taylor expansion of 2.0 in re
6.211 * [backup-simplify]: Simplify 2.0 into 2.0
6.211 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.212 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.212 * [taylor]: Taking taylor expansion of (sqrt 2) in re
6.212 * [taylor]: Taking taylor expansion of 2 in re
6.212 * [backup-simplify]: Simplify 2 into 2
6.212 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
6.213 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
6.213 * [taylor]: Taking taylor expansion of (sqrt re) in re
6.213 * [taylor]: Taking taylor expansion of re in re
6.213 * [backup-simplify]: Simplify 0 into 0
6.213 * [backup-simplify]: Simplify 1 into 1
6.214 * [backup-simplify]: Simplify (sqrt 0) into 0
6.215 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.215 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2)) into (* (sqrt 2.0) (sqrt 2))
6.216 * [backup-simplify]: Simplify (* (* (sqrt 2.0) (sqrt 2)) 0) into 0
6.216 * [backup-simplify]: Simplify 0 into 0
6.216 * [backup-simplify]: Simplify 0 into 0
6.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.217 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re))))) into 0
6.218 * [backup-simplify]: Simplify (+ 0 0) into 0
6.218 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 re) 2) (+ (* 2 (* 0 0)))) (* 2 re)) into (/ -1/8 (pow re 3))
6.218 * [backup-simplify]: Simplify (- 0) into 0
6.219 * [backup-simplify]: Simplify (+ (/ -1/8 (pow re 3)) 0) into (- (* 1/8 (/ 1 (pow re 3))))
6.219 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* 0 (/ 0 (* 1/2 (/ 1 re)))))) into (* 1/2 (/ 1 re))
6.220 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 re)) (pow 0 2) (+)) (* 2 (* (sqrt 2) (sqrt re)))) into (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3)))))
6.220 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.221 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0
6.222 * [backup-simplify]: Simplify (+ (* 0 (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3)))))) (+ (* (sqrt 2.0) 0) (* 0 (* (sqrt 2) (sqrt re))))) into 0
6.222 * [taylor]: Taking taylor expansion of 0 in re
6.222 * [backup-simplify]: Simplify 0 into 0
6.222 * [backup-simplify]: Simplify 0 into 0
6.223 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2))) into 0
6.225 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2))))
6.227 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2))))
6.227 * [backup-simplify]: Simplify 0 into 0
6.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.228 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))))) into 0
6.229 * [backup-simplify]: Simplify (+ 0 0) into 0
6.229 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (pow re 3)))) (* 2 (* (/ 1/2 re) 0)))) (* 2 re)) into 0
6.229 * [backup-simplify]: Simplify (- 0) into 0
6.229 * [backup-simplify]: Simplify (+ 0 0) into 0
6.230 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))) (* 0 (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* (* 1/2 (/ 1 re)) (/ 0 (* 1/2 (/ 1 re)))))) into 0
6.231 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3))))))))) (* 2 (* (sqrt 2) (sqrt re)))) into 0
6.231 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.232 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
6.234 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (sqrt 2.0) (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3)))))) (+ (* 0 0) (* 0 (* (sqrt 2) (sqrt re)))))) into (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3)))))
6.234 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) in re
6.234 * [taylor]: Taking taylor expansion of 1/4 in re
6.234 * [backup-simplify]: Simplify 1/4 into 1/4
6.234 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3)))) in re
6.234 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 2)) in re
6.234 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.234 * [taylor]: Taking taylor expansion of 2.0 in re
6.234 * [backup-simplify]: Simplify 2.0 into 2.0
6.234 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.235 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.235 * [taylor]: Taking taylor expansion of (sqrt 2) in re
6.235 * [taylor]: Taking taylor expansion of 2 in re
6.235 * [backup-simplify]: Simplify 2 into 2
6.235 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
6.235 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
6.236 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt 2)) into (/ (sqrt 2.0) (sqrt 2))
6.236 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 3))) in re
6.236 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re
6.236 * [taylor]: Taking taylor expansion of (pow re 3) in re
6.236 * [taylor]: Taking taylor expansion of re in re
6.236 * [backup-simplify]: Simplify 0 into 0
6.236 * [backup-simplify]: Simplify 1 into 1
6.237 * [backup-simplify]: Simplify (* 1 1) into 1
6.237 * [backup-simplify]: Simplify (* 1 1) into 1
6.237 * [backup-simplify]: Simplify (/ 1 1) into 1
6.237 * [backup-simplify]: Simplify (sqrt 0) into 0
6.238 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.241 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.243 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqrt 2.0) (sqrt 2)) (/ 0 (sqrt 2))))) into 0
6.244 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.245 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
6.246 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqrt 2.0) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0
6.251 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))
6.255 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))
6.256 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (sqrt 2)) 0) into 0
6.264 * [backup-simplify]: Simplify (+ (* 1/4 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))
6.267 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))
6.267 * [backup-simplify]: Simplify 0 into 0
6.270 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.271 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
6.271 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.272 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0
6.275 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2))))
6.276 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2))))
6.282 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) (pow (* re 1) 2)) (+ (* (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) (pow (* 1 im) 2)) (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) (* re 1)))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) re))) (- (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) (pow re 2)))))))))
6.283 * [backup-simplify]: Simplify (/ (sqrt (* (+ (* (/ 1 im) (/ 1 im)) 0) 2.0)) (sqrt (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))))
6.283 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in (im re) around 0
6.283 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in re
6.283 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re
6.283 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.283 * [taylor]: Taking taylor expansion of 2.0 in re
6.283 * [backup-simplify]: Simplify 2.0 into 2.0
6.283 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.283 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.283 * [taylor]: Taking taylor expansion of im in re
6.283 * [backup-simplify]: Simplify im into im
6.284 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im)
6.284 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re
6.284 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
6.284 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
6.284 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.284 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.284 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.284 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.284 * [taylor]: Taking taylor expansion of re in re
6.284 * [backup-simplify]: Simplify 0 into 0
6.284 * [backup-simplify]: Simplify 1 into 1
6.284 * [backup-simplify]: Simplify (* 1 1) into 1
6.284 * [backup-simplify]: Simplify (/ 1 1) into 1
6.284 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.284 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.284 * [taylor]: Taking taylor expansion of im in re
6.284 * [backup-simplify]: Simplify im into im
6.285 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.285 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.285 * [backup-simplify]: Simplify (+ 1 0) into 1
6.285 * [backup-simplify]: Simplify (sqrt 1) into 1
6.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.286 * [backup-simplify]: Simplify (+ 0 0) into 0
6.287 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.287 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.287 * [taylor]: Taking taylor expansion of re in re
6.287 * [backup-simplify]: Simplify 0 into 0
6.287 * [backup-simplify]: Simplify 1 into 1
6.287 * [backup-simplify]: Simplify (/ 1 1) into 1
6.287 * [backup-simplify]: Simplify (- 1) into -1
6.287 * [backup-simplify]: Simplify (+ 1 -1) into 0
6.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.288 * [backup-simplify]: Simplify (- 0) into 0
6.288 * [backup-simplify]: Simplify (+ 0 0) into 0
6.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.290 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.290 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.291 * [backup-simplify]: Simplify (- 0) into 0
6.291 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
6.291 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2))
6.292 * [backup-simplify]: Simplify (sqrt 0) into 0
6.292 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2))
6.292 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im
6.292 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
6.292 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.292 * [taylor]: Taking taylor expansion of 2.0 in im
6.292 * [backup-simplify]: Simplify 2.0 into 2.0
6.292 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.293 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.293 * [taylor]: Taking taylor expansion of im in im
6.293 * [backup-simplify]: Simplify 0 into 0
6.293 * [backup-simplify]: Simplify 1 into 1
6.293 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
6.293 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im
6.293 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im
6.293 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
6.293 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.293 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.294 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.294 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.294 * [taylor]: Taking taylor expansion of re in im
6.294 * [backup-simplify]: Simplify re into re
6.294 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.294 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.294 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.294 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.294 * [taylor]: Taking taylor expansion of im in im
6.294 * [backup-simplify]: Simplify 0 into 0
6.294 * [backup-simplify]: Simplify 1 into 1
6.294 * [backup-simplify]: Simplify (* 1 1) into 1
6.294 * [backup-simplify]: Simplify (/ 1 1) into 1
6.295 * [backup-simplify]: Simplify (+ 0 1) into 1
6.295 * [backup-simplify]: Simplify (sqrt 1) into 1
6.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.296 * [backup-simplify]: Simplify (+ 0 0) into 0
6.296 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.296 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.296 * [taylor]: Taking taylor expansion of re in im
6.296 * [backup-simplify]: Simplify re into re
6.296 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.297 * [backup-simplify]: Simplify (+ 1 0) into 1
6.297 * [backup-simplify]: Simplify (/ 1 1) into 1
6.297 * [backup-simplify]: Simplify (sqrt 0) into 0
6.298 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.298 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im
6.298 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
6.298 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.298 * [taylor]: Taking taylor expansion of 2.0 in im
6.298 * [backup-simplify]: Simplify 2.0 into 2.0
6.299 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.299 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.299 * [taylor]: Taking taylor expansion of im in im
6.299 * [backup-simplify]: Simplify 0 into 0
6.300 * [backup-simplify]: Simplify 1 into 1
6.300 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
6.300 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im
6.301 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im
6.301 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
6.301 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.301 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.301 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.301 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.301 * [taylor]: Taking taylor expansion of re in im
6.301 * [backup-simplify]: Simplify re into re
6.301 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.301 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.301 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.301 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.301 * [taylor]: Taking taylor expansion of im in im
6.301 * [backup-simplify]: Simplify 0 into 0
6.301 * [backup-simplify]: Simplify 1 into 1
6.302 * [backup-simplify]: Simplify (* 1 1) into 1
6.302 * [backup-simplify]: Simplify (/ 1 1) into 1
6.302 * [backup-simplify]: Simplify (+ 0 1) into 1
6.303 * [backup-simplify]: Simplify (sqrt 1) into 1
6.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.305 * [backup-simplify]: Simplify (+ 0 0) into 0
6.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.305 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.305 * [taylor]: Taking taylor expansion of re in im
6.305 * [backup-simplify]: Simplify re into re
6.305 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.306 * [backup-simplify]: Simplify (+ 1 0) into 1
6.306 * [backup-simplify]: Simplify (/ 1 1) into 1
6.307 * [backup-simplify]: Simplify (sqrt 0) into 0
6.308 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.309 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
6.309 * [taylor]: Taking taylor expansion of 0 in re
6.309 * [backup-simplify]: Simplify 0 into 0
6.310 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
6.312 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
6.312 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re
6.312 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
6.312 * [taylor]: Taking taylor expansion of +nan.0 in re
6.312 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.312 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.312 * [taylor]: Taking taylor expansion of 2.0 in re
6.312 * [backup-simplify]: Simplify 2.0 into 2.0
6.315 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.316 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.316 * [backup-simplify]: Simplify 0 into 0
6.316 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re))
6.316 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re))
6.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re)
6.318 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0))
6.319 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.321 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))
6.321 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re
6.321 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re
6.321 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
6.321 * [taylor]: Taking taylor expansion of +nan.0 in re
6.322 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.322 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.322 * [taylor]: Taking taylor expansion of 2.0 in re
6.322 * [backup-simplify]: Simplify 2.0 into 2.0
6.322 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.323 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.323 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re
6.323 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
6.323 * [taylor]: Taking taylor expansion of +nan.0 in re
6.323 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.323 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
6.323 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.323 * [taylor]: Taking taylor expansion of 2.0 in re
6.323 * [backup-simplify]: Simplify 2.0 into 2.0
6.323 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.324 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.324 * [taylor]: Taking taylor expansion of re in re
6.324 * [backup-simplify]: Simplify 0 into 0
6.324 * [backup-simplify]: Simplify 1 into 1
6.325 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
6.326 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
6.328 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.330 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
6.333 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
6.334 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.335 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
6.337 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.338 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.339 * [backup-simplify]: Simplify 0 into 0
6.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.341 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
6.342 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
6.342 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
6.343 * [backup-simplify]: Simplify (- 0) into 0
6.343 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2)))
6.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2)))
6.344 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 re) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))
6.346 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.347 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.349 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
6.349 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) in re
6.349 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))) in re
6.349 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
6.349 * [taylor]: Taking taylor expansion of +nan.0 in re
6.349 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.349 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.349 * [taylor]: Taking taylor expansion of 2.0 in re
6.349 * [backup-simplify]: Simplify 2.0 into 2.0
6.350 * [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 (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))) in re
6.350 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))) in re
6.351 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
6.351 * [taylor]: Taking taylor expansion of +nan.0 in re
6.351 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.351 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
6.351 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.351 * [taylor]: Taking taylor expansion of 2.0 in re
6.351 * [backup-simplify]: Simplify 2.0 into 2.0
6.351 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.352 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.352 * [taylor]: Taking taylor expansion of re in re
6.352 * [backup-simplify]: Simplify 0 into 0
6.352 * [backup-simplify]: Simplify 1 into 1
6.353 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
6.353 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))) in re
6.353 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re
6.353 * [taylor]: Taking taylor expansion of +nan.0 in re
6.353 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.353 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re
6.353 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.353 * [taylor]: Taking taylor expansion of 2.0 in re
6.353 * [backup-simplify]: Simplify 2.0 into 2.0
6.354 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.354 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.354 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.354 * [taylor]: Taking taylor expansion of re in re
6.355 * [backup-simplify]: Simplify 0 into 0
6.355 * [backup-simplify]: Simplify 1 into 1
6.355 * [backup-simplify]: Simplify (* 1 1) into 1
6.356 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
6.357 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
6.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
6.360 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
6.360 * [backup-simplify]: Simplify (- 0) into 0
6.362 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
6.364 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
6.367 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
6.369 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
6.371 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.376 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 re)) (pow (/ 1 im) 2))) (+ (- (* +nan.0 (sqrt 2.0))) (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 re)) (/ 1 im))))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2))) (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (* (sqrt 2.0) re) im)))))))
6.377 * [backup-simplify]: Simplify (/ (sqrt (* (+ (* (/ 1 (- im)) (/ 1 (- im))) 0) 2.0)) (sqrt (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))))
6.377 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in (im re) around 0
6.377 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in re
6.377 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re
6.377 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.377 * [taylor]: Taking taylor expansion of 2.0 in re
6.377 * [backup-simplify]: Simplify 2.0 into 2.0
6.378 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.379 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.379 * [taylor]: Taking taylor expansion of im in re
6.379 * [backup-simplify]: Simplify im into im
6.379 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im)
6.379 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re
6.379 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
6.379 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
6.379 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.379 * [taylor]: Taking taylor expansion of re in re
6.379 * [backup-simplify]: Simplify 0 into 0
6.379 * [backup-simplify]: Simplify 1 into 1
6.380 * [backup-simplify]: Simplify (/ 1 1) into 1
6.380 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.380 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.380 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.380 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.380 * [taylor]: Taking taylor expansion of re in re
6.380 * [backup-simplify]: Simplify 0 into 0
6.380 * [backup-simplify]: Simplify 1 into 1
6.380 * [backup-simplify]: Simplify (* 1 1) into 1
6.381 * [backup-simplify]: Simplify (/ 1 1) into 1
6.381 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.381 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.381 * [taylor]: Taking taylor expansion of im in re
6.381 * [backup-simplify]: Simplify im into im
6.381 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.381 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.382 * [backup-simplify]: Simplify (+ 1 0) into 1
6.382 * [backup-simplify]: Simplify (sqrt 1) into 1
6.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.384 * [backup-simplify]: Simplify (+ 0 0) into 0
6.385 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.385 * [backup-simplify]: Simplify (+ 1 1) into 2
6.385 * [backup-simplify]: Simplify (/ 1 2) into 1/2
6.386 * [backup-simplify]: Simplify (sqrt 0) into 0
6.387 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0
6.387 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in im
6.387 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
6.388 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.388 * [taylor]: Taking taylor expansion of 2.0 in im
6.388 * [backup-simplify]: Simplify 2.0 into 2.0
6.388 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.389 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.389 * [taylor]: Taking taylor expansion of im in im
6.389 * [backup-simplify]: Simplify 0 into 0
6.389 * [backup-simplify]: Simplify 1 into 1
6.390 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
6.390 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im
6.390 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
6.390 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
6.390 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.390 * [taylor]: Taking taylor expansion of re in im
6.390 * [backup-simplify]: Simplify re into re
6.390 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.390 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.390 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.390 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.390 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.390 * [taylor]: Taking taylor expansion of re in im
6.390 * [backup-simplify]: Simplify re into re
6.390 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.390 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.390 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.390 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.390 * [taylor]: Taking taylor expansion of im in im
6.390 * [backup-simplify]: Simplify 0 into 0
6.390 * [backup-simplify]: Simplify 1 into 1
6.391 * [backup-simplify]: Simplify (* 1 1) into 1
6.391 * [backup-simplify]: Simplify (/ 1 1) into 1
6.391 * [backup-simplify]: Simplify (+ 0 1) into 1
6.391 * [backup-simplify]: Simplify (sqrt 1) into 1
6.392 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.392 * [backup-simplify]: Simplify (+ 0 0) into 0
6.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.393 * [backup-simplify]: Simplify (+ 0 1) into 1
6.393 * [backup-simplify]: Simplify (/ 1 1) into 1
6.394 * [backup-simplify]: Simplify (sqrt 0) into 0
6.394 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.394 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in im
6.394 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
6.394 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
6.394 * [taylor]: Taking taylor expansion of 2.0 in im
6.394 * [backup-simplify]: Simplify 2.0 into 2.0
6.395 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.395 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.395 * [taylor]: Taking taylor expansion of im in im
6.395 * [backup-simplify]: Simplify 0 into 0
6.395 * [backup-simplify]: Simplify 1 into 1
6.396 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
6.396 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im
6.396 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
6.396 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
6.396 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.396 * [taylor]: Taking taylor expansion of re in im
6.396 * [backup-simplify]: Simplify re into re
6.396 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.396 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.396 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.396 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.396 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.396 * [taylor]: Taking taylor expansion of re in im
6.396 * [backup-simplify]: Simplify re into re
6.396 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.396 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.396 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.396 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.396 * [taylor]: Taking taylor expansion of im in im
6.396 * [backup-simplify]: Simplify 0 into 0
6.396 * [backup-simplify]: Simplify 1 into 1
6.396 * [backup-simplify]: Simplify (* 1 1) into 1
6.397 * [backup-simplify]: Simplify (/ 1 1) into 1
6.397 * [backup-simplify]: Simplify (+ 0 1) into 1
6.397 * [backup-simplify]: Simplify (sqrt 1) into 1
6.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.398 * [backup-simplify]: Simplify (+ 0 0) into 0
6.399 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.399 * [backup-simplify]: Simplify (+ 0 1) into 1
6.399 * [backup-simplify]: Simplify (/ 1 1) into 1
6.399 * [backup-simplify]: Simplify (sqrt 0) into 0
6.400 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.401 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
6.401 * [taylor]: Taking taylor expansion of 0 in re
6.401 * [backup-simplify]: Simplify 0 into 0
6.401 * [backup-simplify]: Simplify 0 into 0
6.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
6.402 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
6.403 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re
6.403 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
6.403 * [taylor]: Taking taylor expansion of +nan.0 in re
6.403 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.403 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.403 * [taylor]: Taking taylor expansion of 2.0 in re
6.403 * [backup-simplify]: Simplify 2.0 into 2.0
6.403 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.403 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.404 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
6.405 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.406 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.406 * [backup-simplify]: Simplify 0 into 0
6.406 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re)
6.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re))
6.407 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0)))
6.407 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.408 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.409 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))
6.409 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re
6.409 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re
6.409 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
6.409 * [taylor]: Taking taylor expansion of +nan.0 in re
6.409 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.409 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.409 * [taylor]: Taking taylor expansion of 2.0 in re
6.409 * [backup-simplify]: Simplify 2.0 into 2.0
6.409 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.410 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.410 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re
6.410 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
6.410 * [taylor]: Taking taylor expansion of +nan.0 in re
6.410 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.410 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
6.410 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.410 * [taylor]: Taking taylor expansion of 2.0 in re
6.410 * [backup-simplify]: Simplify 2.0 into 2.0
6.410 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.411 * [taylor]: Taking taylor expansion of re in re
6.411 * [backup-simplify]: Simplify 0 into 0
6.411 * [backup-simplify]: Simplify 1 into 1
6.411 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
6.412 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
6.412 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
6.413 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
6.413 * [backup-simplify]: Simplify (- 0) into 0
6.414 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
6.415 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
6.416 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.417 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
6.417 * [backup-simplify]: Simplify (- 0) into 0
6.417 * [backup-simplify]: Simplify 0 into 0
6.417 * [backup-simplify]: Simplify 0 into 0
6.417 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
6.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.419 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
6.420 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
6.420 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2)))
6.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2)))
6.421 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 re) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))
6.421 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
6.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.425 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
6.425 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) in re
6.425 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))) in re
6.425 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re
6.425 * [taylor]: Taking taylor expansion of +nan.0 in re
6.425 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.425 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.425 * [taylor]: Taking taylor expansion of 2.0 in re
6.425 * [backup-simplify]: Simplify 2.0 into 2.0
6.426 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.426 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.426 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))) in re
6.426 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))) in re
6.427 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re
6.427 * [taylor]: Taking taylor expansion of +nan.0 in re
6.427 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.427 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re
6.427 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.427 * [taylor]: Taking taylor expansion of 2.0 in re
6.427 * [backup-simplify]: Simplify 2.0 into 2.0
6.427 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.428 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.428 * [taylor]: Taking taylor expansion of re in re
6.428 * [backup-simplify]: Simplify 0 into 0
6.428 * [backup-simplify]: Simplify 1 into 1
6.429 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
6.429 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))) in re
6.429 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re
6.429 * [taylor]: Taking taylor expansion of +nan.0 in re
6.429 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.429 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re
6.429 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
6.429 * [taylor]: Taking taylor expansion of 2.0 in re
6.429 * [backup-simplify]: Simplify 2.0 into 2.0
6.430 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
6.430 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
6.430 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.430 * [taylor]: Taking taylor expansion of re in re
6.430 * [backup-simplify]: Simplify 0 into 0
6.430 * [backup-simplify]: Simplify 1 into 1
6.431 * [backup-simplify]: Simplify (* 1 1) into 1
6.432 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
6.433 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
6.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
6.435 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
6.436 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
6.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.438 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.439 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
6.442 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.444 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
6.444 * [backup-simplify]: Simplify (- 0) into 0
6.445 * [backup-simplify]: Simplify (+ 0 0) into 0
6.445 * [backup-simplify]: Simplify (- 0) into 0
6.447 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
6.449 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
6.450 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
6.456 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 (- im))) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 (- im)))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))))))
6.456 * * * [progress]: simplifying candidates
6.460 * [simplify]: Simplifying:
  (log (sqrt (* (+ (* im im) 0) 2.0)))
  (exp (sqrt (* (+ (* im im) 0) 2.0)))
  (* (cbrt (sqrt (* (+ (* im im) 0) 2.0))) (cbrt (sqrt (* (+ (* im im) 0) 2.0))))
  (cbrt (sqrt (* (+ (* im im) 0) 2.0)))
  (* (* (sqrt (* (+ (* im im) 0) 2.0)) (sqrt (* (+ (* im im) 0) 2.0))) (sqrt (* (+ (* im im) 0) 2.0)))
  (sqrt (+ (* im im) 0))
  (sqrt 2.0)
  (sqrt (* (+ (pow (* im im) 3) (pow 0 3)) 2.0))
  (sqrt (+ (* (* im im) (* im im)) (- (* 0 0) (* (* im im) 0))))
  (sqrt (* (- (* (* im im) (* im im)) (* 0 0)) 2.0))
  (sqrt (- (* im im) 0))
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* (+ (* im im) 0) 2.0)))
  (sqrt (sqrt (* (+ (* im im) 0) 2.0)))
  (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)))
  (- re)
  (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))
  (+ (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (- re)
  (- (log (sqrt (* (+ (* im im) 0) 2.0))) (log (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (log (/ (sqrt (* (+ (* im im) 0) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (exp (/ (sqrt (* (+ (* im im) 0) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (* (sqrt (* (+ (* im im) 0) 2.0)) (sqrt (* (+ (* im im) 0) 2.0))) (sqrt (* (+ (* im im) 0) 2.0))) (* (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (* (cbrt (/ (sqrt (* (+ (* im im) 0) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (sqrt (* (+ (* im im) 0) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (cbrt (/ (sqrt (* (+ (* im im) 0) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (* (* (/ (sqrt (* (+ (* im im) 0) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (* (+ (* im im) 0) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* (+ (* im im) 0) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (+ (* im im) 0) 2.0) (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (/ (sqrt (* (+ (* im im) 0) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (/ (sqrt (* (+ (* im im) 0) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (- (sqrt (* (+ (* im im) 0) 2.0)))
  (- (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (* (cbrt (sqrt (* (+ (* im im) 0) 2.0))) (cbrt (sqrt (* (+ (* im im) 0) 2.0)))) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (cbrt (sqrt (* (+ (* im im) 0) 2.0))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (cbrt (sqrt (* (+ (* im im) 0) 2.0))) (cbrt (sqrt (* (+ (* im im) 0) 2.0)))) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (cbrt (sqrt (* (+ (* im im) 0) 2.0))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (cbrt (sqrt (* (+ (* im im) 0) 2.0))) (cbrt (sqrt (* (+ (* im im) 0) 2.0)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (cbrt (sqrt (* (+ (* im im) 0) 2.0))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (cbrt (sqrt (* (+ (* im im) 0) 2.0))) (cbrt (sqrt (* (+ (* im im) 0) 2.0)))) (sqrt 1))
  (/ (cbrt (sqrt (* (+ (* im im) 0) 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (* (cbrt (sqrt (* (+ (* im im) 0) 2.0))) (cbrt (sqrt (* (+ (* im im) 0) 2.0)))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (cbrt (sqrt (* (+ (* im im) 0) 2.0))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (* (cbrt (sqrt (* (+ (* im im) 0) 2.0))) (cbrt (sqrt (* (+ (* im im) 0) 2.0)))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (cbrt (sqrt (* (+ (* im im) 0) 2.0))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (* (cbrt (sqrt (* (+ (* im im) 0) 2.0))) (cbrt (sqrt (* (+ (* im im) 0) 2.0)))) (sqrt 1))
  (/ (cbrt (sqrt (* (+ (* im im) 0) 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (* (cbrt (sqrt (* (+ (* im im) 0) 2.0))) (cbrt (sqrt (* (+ (* im im) 0) 2.0)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (cbrt (sqrt (* (+ (* im im) 0) 2.0))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (cbrt (sqrt (* (+ (* im im) 0) 2.0))) (cbrt (sqrt (* (+ (* im im) 0) 2.0)))) 1)
  (/ (cbrt (sqrt (* (+ (* im im) 0) 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (+ (* im im) 0)) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt 2.0) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (+ (* im im) 0)) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt 2.0) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (+ (* im im) 0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (+ (* im im) 0)) (sqrt 1))
  (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (+ (* im im) 0)) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt 2.0) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (+ (* im im) 0)) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt 2.0) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (+ (* im im) 0)) (sqrt 1))
  (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (+ (* im im) 0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (+ (* im im) 0)) 1)
  (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (sqrt (* (+ (* im im) 0) 2.0))) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (sqrt (* (+ (* im im) 0) 2.0))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt (* (+ (* im im) 0) 2.0))) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (sqrt (* (+ (* im im) 0) 2.0))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt (* (+ (* im im) 0) 2.0))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt (* (+ (* im im) 0) 2.0))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt (* (+ (* im im) 0) 2.0))) (sqrt 1))
  (/ (sqrt (sqrt (* (+ (* im im) 0) 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (sqrt (* (+ (* im im) 0) 2.0))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (sqrt (* (+ (* im im) 0) 2.0))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (sqrt (* (+ (* im im) 0) 2.0))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (sqrt (* (+ (* im im) 0) 2.0))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (sqrt (* (+ (* im im) 0) 2.0))) (sqrt 1))
  (/ (sqrt (sqrt (* (+ (* im im) 0) 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (sqrt (* (+ (* im im) 0) 2.0))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt (* (+ (* im im) 0) 2.0))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt (* (+ (* im im) 0) 2.0))) 1)
  (/ (sqrt (sqrt (* (+ (* im im) 0) 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (* (+ (* im im) 0) 2.0)) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ 1 (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (* (+ (* im im) 0) 2.0)) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (* (+ (* im im) 0) 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ 1 (sqrt 1))
  (/ (sqrt (* (+ (* im im) 0) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (* (+ (* im im) 0) 2.0)) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ 1 (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (* (+ (* im im) 0) 2.0)) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ 1 (sqrt 1))
  (/ (sqrt (* (+ (* im im) 0) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (* (+ (* im im) 0) 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ 1 1)
  (/ (sqrt (* (+ (* im im) 0) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* (+ (* im im) 0) 2.0)))
  (/ (sqrt (* (+ (* im im) 0) 2.0)) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (* (+ (* im im) 0) 2.0)) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (* (+ (* im im) 0) 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (* (+ (* im im) 0) 2.0)) (sqrt 1))
  (/ (sqrt (* (+ (* im im) 0) 2.0)) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (* (+ (* im im) 0) 2.0)) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (* (+ (* im im) 0) 2.0)) (sqrt 1))
  (/ (sqrt (* (+ (* im im) 0) 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (* (+ (* im im) 0) 2.0)) 1)
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (sqrt (* (+ (* im im) 0) 2.0))))
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt 2.0))
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* (+ (* im im) 0) 2.0))))
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* (+ (* im im) 0) 2.0)))
  (/ (sqrt (* (+ (* im im) 0) 2.0)) (sqrt (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))
  (/ (sqrt (* (+ (* im im) 0) 2.0)) (sqrt (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))))
  (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (* (* im im) (* im im)) (- (* 0 0) (* (* im im) 0)))))
  (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (* im im) 0)))
  (* (sqrt 2.0) im)
  (* (sqrt 2.0) im)
  (* -1 (* (sqrt 2.0) im))
  im
  re
  (* -1 re)
  (- im re)
  0
  (* -2 re)
  (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) re))) (- (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) (pow re 2)))))))))
  (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2))) (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (* (sqrt 2.0) re) im)))))))
  (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))))))
6.466 * * [simplify]: iteration 0: 212 enodes
6.525 * * [simplify]: iteration 1: 456 enodes
6.794 * * [simplify]: iteration 2: 2052 enodes
7.376 * * [simplify]: iteration complete: 5001 enodes
7.376 * * [simplify]: Extracting #0: cost 107 inf + 0
7.377 * * [simplify]: Extracting #1: cost 358 inf + 46
7.382 * * [simplify]: Extracting #2: cost 919 inf + 4107
7.401 * * [simplify]: Extracting #3: cost 1418 inf + 39322
7.427 * * [simplify]: Extracting #4: cost 668 inf + 143304
7.481 * * [simplify]: Extracting #5: cost 123 inf + 250087
7.562 * * [simplify]: Extracting #6: cost 40 inf + 283316
7.627 * * [simplify]: Extracting #7: cost 10 inf + 288811
7.717 * * [simplify]: Extracting #8: cost 0 inf + 291741
7.793 * [simplify]: Simplified to:
  (log (sqrt (* 2.0 (* im im))))
  (exp (sqrt (* 2.0 (* im im))))
  (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im)))))
  (cbrt (sqrt (* 2.0 (* im im))))
  (* (sqrt (* 2.0 (* im im))) (* 2.0 (* im im)))
  (fabs im)
  (sqrt 2.0)
  (sqrt (* 2.0 (* (* (* im im) im) (* (* im im) im))))
  (fabs (* im im))
  (sqrt (* (* 2.0 (* im im)) (* im im)))
  (fabs im)
  1/2
  1/2
  (sqrt (sqrt (* 2.0 (* im im))))
  (sqrt (sqrt (* 2.0 (* im 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))))
  (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 (+ (* (* (* im im) im) (* (* im im) im)) (* (* (* re re) re) (* (* re re) re))))
  (sqrt (+ (* (- (* im im) (* re re)) (* im im)) (* (* re re) (* re re))))
  (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im))))
  (sqrt (* (+ re im) (- re im)))
  1/2
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (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))
  (- (* (+ (* im im) (* re re)) (sqrt (+ (* im im) (* re re)))) (* (* re re) re))
  (+ (+ (* re re) (+ (* im im) (* re re))) (* re (sqrt (+ (* im im) (* re re)))))
  (- re)
  (* im im)
  (+ (sqrt (+ (* im im) (* re re))) re)
  (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re)))))
  (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))
  (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re)))))
  (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))
  (- (sqrt (+ (* im im) (* re re))) re)
  (- re)
  (log (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (log (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (exp (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (* (/ (sqrt (* 2.0 (* im im))) (- (sqrt (+ (* im im) (* re re))) re)) (/ (* 2.0 (* im im)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (* (cbrt (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (cbrt (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))
  (cbrt (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (* (/ (sqrt (* 2.0 (* im im))) (- (sqrt (+ (* im im) (* re re))) re)) (/ (* 2.0 (* im im)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (* (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re)) 2.0)
  (sqrt (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (sqrt (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (- (sqrt (* 2.0 (* im im))))
  (- (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (* (/ (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))
  (/ (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (* (/ (cbrt (sqrt (* 2.0 (* im im)))) (fabs (cbrt (- (sqrt (+ (* im im) (* re re))) re)))) (cbrt (sqrt (* 2.0 (* im im)))))
  (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im)))))
  (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re)))))))
  (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re)))))))
  (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im)))))
  (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im)))))
  (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ (/ (fabs im) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt 2.0) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (fabs im) (fabs (cbrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt 2.0) (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (fabs im)
  (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ (fabs im) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re)))))))
  (/ (sqrt 2.0) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (/ (fabs im) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re)))))))
  (/ (sqrt 2.0) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (fabs im)
  (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (fabs im)
  (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ (/ (sqrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (fabs (cbrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (sqrt (sqrt (* 2.0 (* im im))))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re)))))))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re)))))))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (sqrt (sqrt (* 2.0 (* im im))))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (sqrt (sqrt (* 2.0 (* im im))))
  (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ 1 (* (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))
  (/ (sqrt (* 2.0 (* im im))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ 1 (fabs (cbrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt (* 2.0 (* im im))) (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ 1 (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  1
  (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ 1 (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re)))))))
  (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  (/ 1 (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re)))))))
  (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))
  1
  (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ 1 (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  1
  (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ 1 (sqrt (- (sqrt (+ (* im im) (* re re))) re)))
  (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (sqrt (* 2.0 (* im im))))
  (/ (sqrt (* 2.0 (* im im))) (* (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))
  (/ (sqrt (* 2.0 (* im im))) (fabs (cbrt (- (sqrt (+ (* im im) (* re re))) re))))
  (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (sqrt (* 2.0 (* im im)))
  (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re)))))))
  (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re)))))))
  (sqrt (* 2.0 (* im im)))
  (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))
  (sqrt (* 2.0 (* im im)))
  (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (sqrt (* 2.0 (* im im)))))
  (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (sqrt 2.0))
  (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (sqrt (sqrt (* 2.0 (* im im)))))
  (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (sqrt (* 2.0 (* im im))))
  (/ (sqrt (* 2.0 (* im im))) (sqrt (- (* (+ (* im im) (* re re)) (sqrt (+ (* im im) (* re re)))) (* (* re re) re))))
  (/ (sqrt (* 2.0 (* im im))) (fabs im))
  (* (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs (* im im)))
  (* (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im))
  (* im (sqrt 2.0))
  (* im (sqrt 2.0))
  (* im (- (sqrt 2.0)))
  im
  re
  (- re)
  (- im re)
  0
  (* -2 re)
  (+ (* (* +nan.0 (sqrt 2.0)) (- (* (sqrt 2) re) (* (* re re) (sqrt 2)))) (- (* +nan.0 (/ (sqrt 2.0) (/ (sqrt 2) (* im im))))))
  (+ (- (* +nan.0 (sqrt 2.0)) (/ (* (* +nan.0 (sqrt 2.0)) re) im)) (- (* +nan.0 (* (/ (sqrt 2.0) (* im im)) re))))
  (- (- (* +nan.0 (sqrt 2.0)) (* +nan.0 (- (/ (sqrt 2.0) im) (/ (sqrt 2.0) (* im im))))))
7.808 * * * [progress]: adding candidates to table
8.512 * * [progress]: iteration 4 / 4
8.512 * * * [progress]: picking best candidate
8.583 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (* (fabs im) (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))>
8.584 * * * [progress]: localizing error
8.640 * * * [progress]: generating rewritten candidates
8.640 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2 1 1)
8.647 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1)
8.693 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2)
8.748 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2)
8.792 * * * [progress]: generating series expansions
8.792 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2 1 1)
8.793 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
8.793 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
8.793 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
8.793 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
8.793 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.793 * [taylor]: Taking taylor expansion of im in im
8.793 * [backup-simplify]: Simplify 0 into 0
8.793 * [backup-simplify]: Simplify 1 into 1
8.793 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.793 * [taylor]: Taking taylor expansion of re in im
8.793 * [backup-simplify]: Simplify re into re
8.793 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.793 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
8.793 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
8.793 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.794 * [backup-simplify]: Simplify (+ 0 0) into 0
8.794 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
8.794 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
8.794 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
8.794 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.794 * [taylor]: Taking taylor expansion of im in re
8.794 * [backup-simplify]: Simplify im into im
8.794 * [taylor]: Taking taylor expansion of (pow re 2) 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 (* im im) into (pow im 2)
8.794 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
8.794 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.794 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.795 * [backup-simplify]: Simplify (+ 0 0) into 0
8.795 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.795 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
8.795 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
8.795 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.795 * [taylor]: Taking taylor expansion of im in re
8.795 * [backup-simplify]: Simplify im into im
8.795 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.795 * [taylor]: Taking taylor expansion of re in re
8.795 * [backup-simplify]: Simplify 0 into 0
8.795 * [backup-simplify]: Simplify 1 into 1
8.795 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.795 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
8.795 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.795 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.795 * [backup-simplify]: Simplify (+ 0 0) into 0
8.795 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.796 * [taylor]: Taking taylor expansion of im in im
8.796 * [backup-simplify]: Simplify 0 into 0
8.796 * [backup-simplify]: Simplify 1 into 1
8.796 * [backup-simplify]: Simplify 0 into 0
8.796 * [taylor]: Taking taylor expansion of 0 in im
8.796 * [backup-simplify]: Simplify 0 into 0
8.796 * [backup-simplify]: Simplify 0 into 0
8.796 * [backup-simplify]: Simplify 1 into 1
8.796 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
8.796 * [backup-simplify]: Simplify (* 1 1) into 1
8.797 * [backup-simplify]: Simplify (+ 0 1) into 1
8.797 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
8.797 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
8.797 * [taylor]: Taking taylor expansion of 1/2 in im
8.797 * [backup-simplify]: Simplify 1/2 into 1/2
8.797 * [taylor]: Taking taylor expansion of im in im
8.797 * [backup-simplify]: Simplify 0 into 0
8.797 * [backup-simplify]: Simplify 1 into 1
8.797 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.798 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.798 * [backup-simplify]: Simplify 0 into 0
8.798 * [backup-simplify]: Simplify 0 into 0
8.798 * [backup-simplify]: Simplify 0 into 0
8.799 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
8.799 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.799 * [backup-simplify]: Simplify (+ 0 0) into 0
8.799 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
8.799 * [taylor]: Taking taylor expansion of 0 in im
8.799 * [backup-simplify]: Simplify 0 into 0
8.799 * [backup-simplify]: Simplify 0 into 0
8.800 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.800 * [backup-simplify]: Simplify 0 into 0
8.800 * [backup-simplify]: Simplify 0 into 0
8.800 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
8.800 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
8.800 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
8.800 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
8.800 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
8.800 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.800 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.800 * [taylor]: Taking taylor expansion of re in im
8.800 * [backup-simplify]: Simplify re into re
8.800 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.801 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.801 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.801 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.801 * [taylor]: Taking taylor expansion of im in im
8.801 * [backup-simplify]: Simplify 0 into 0
8.801 * [backup-simplify]: Simplify 1 into 1
8.801 * [backup-simplify]: Simplify (* 1 1) into 1
8.801 * [backup-simplify]: Simplify (/ 1 1) into 1
8.801 * [backup-simplify]: Simplify (+ 0 1) into 1
8.802 * [backup-simplify]: Simplify (sqrt 1) into 1
8.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.803 * [backup-simplify]: Simplify (+ 0 0) into 0
8.803 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.803 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.803 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.803 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.803 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.803 * [taylor]: Taking taylor expansion of re in re
8.803 * [backup-simplify]: Simplify 0 into 0
8.803 * [backup-simplify]: Simplify 1 into 1
8.804 * [backup-simplify]: Simplify (* 1 1) into 1
8.804 * [backup-simplify]: Simplify (/ 1 1) into 1
8.804 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.804 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.804 * [taylor]: Taking taylor expansion of im in re
8.804 * [backup-simplify]: Simplify im into im
8.804 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.804 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.804 * [backup-simplify]: Simplify (+ 1 0) into 1
8.805 * [backup-simplify]: Simplify (sqrt 1) into 1
8.805 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.806 * [backup-simplify]: Simplify (+ 0 0) into 0
8.806 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.806 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.806 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.806 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.806 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.806 * [taylor]: Taking taylor expansion of re in re
8.806 * [backup-simplify]: Simplify 0 into 0
8.806 * [backup-simplify]: Simplify 1 into 1
8.806 * [backup-simplify]: Simplify (* 1 1) into 1
8.807 * [backup-simplify]: Simplify (/ 1 1) into 1
8.807 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.807 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.807 * [taylor]: Taking taylor expansion of im in re
8.807 * [backup-simplify]: Simplify im into im
8.807 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.807 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.807 * [backup-simplify]: Simplify (+ 1 0) into 1
8.807 * [backup-simplify]: Simplify (sqrt 1) into 1
8.808 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.809 * [backup-simplify]: Simplify (+ 0 0) into 0
8.809 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.809 * [taylor]: Taking taylor expansion of 1 in im
8.809 * [backup-simplify]: Simplify 1 into 1
8.809 * [taylor]: Taking taylor expansion of 0 in im
8.809 * [backup-simplify]: Simplify 0 into 0
8.809 * [backup-simplify]: Simplify 1 into 1
8.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.810 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.811 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.811 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
8.811 * [taylor]: Taking taylor expansion of 1/2 in im
8.811 * [backup-simplify]: Simplify 1/2 into 1/2
8.811 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.811 * [taylor]: Taking taylor expansion of im in im
8.811 * [backup-simplify]: Simplify 0 into 0
8.811 * [backup-simplify]: Simplify 1 into 1
8.812 * [backup-simplify]: Simplify (* 1 1) into 1
8.812 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.812 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.813 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 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 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.814 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.814 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.815 * [backup-simplify]: Simplify (+ 0 0) into 0
8.815 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.815 * [taylor]: Taking taylor expansion of 0 in im
8.815 * [backup-simplify]: Simplify 0 into 0
8.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.816 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.816 * [backup-simplify]: Simplify 0 into 0
8.817 * [backup-simplify]: Simplify 0 into 0
8.817 * [backup-simplify]: Simplify 0 into 0
8.817 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
8.817 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
8.817 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
8.817 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
8.817 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
8.817 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.817 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.817 * [taylor]: Taking taylor expansion of re in im
8.817 * [backup-simplify]: Simplify re into re
8.817 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.817 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.817 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.817 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.817 * [taylor]: Taking taylor expansion of im in im
8.817 * [backup-simplify]: Simplify 0 into 0
8.817 * [backup-simplify]: Simplify 1 into 1
8.817 * [backup-simplify]: Simplify (* 1 1) into 1
8.818 * [backup-simplify]: Simplify (/ 1 1) into 1
8.818 * [backup-simplify]: Simplify (+ 0 1) into 1
8.818 * [backup-simplify]: Simplify (sqrt 1) into 1
8.819 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.819 * [backup-simplify]: Simplify (+ 0 0) into 0
8.820 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.820 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.820 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.820 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.820 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.820 * [taylor]: Taking taylor expansion of re in re
8.820 * [backup-simplify]: Simplify 0 into 0
8.820 * [backup-simplify]: Simplify 1 into 1
8.820 * [backup-simplify]: Simplify (* 1 1) into 1
8.820 * [backup-simplify]: Simplify (/ 1 1) into 1
8.820 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.820 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.820 * [taylor]: Taking taylor expansion of im in re
8.820 * [backup-simplify]: Simplify im into im
8.821 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.821 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.821 * [backup-simplify]: Simplify (+ 1 0) into 1
8.821 * [backup-simplify]: Simplify (sqrt 1) into 1
8.822 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.822 * [backup-simplify]: Simplify (+ 0 0) into 0
8.823 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.823 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.823 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.823 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.823 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.823 * [taylor]: Taking taylor expansion of re in re
8.823 * [backup-simplify]: Simplify 0 into 0
8.823 * [backup-simplify]: Simplify 1 into 1
8.823 * [backup-simplify]: Simplify (* 1 1) into 1
8.823 * [backup-simplify]: Simplify (/ 1 1) into 1
8.823 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.823 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.823 * [taylor]: Taking taylor expansion of im in re
8.823 * [backup-simplify]: Simplify im into im
8.823 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.824 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.824 * [backup-simplify]: Simplify (+ 1 0) into 1
8.824 * [backup-simplify]: Simplify (sqrt 1) into 1
8.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.825 * [backup-simplify]: Simplify (+ 0 0) into 0
8.825 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.826 * [taylor]: Taking taylor expansion of 1 in im
8.826 * [backup-simplify]: Simplify 1 into 1
8.826 * [taylor]: Taking taylor expansion of 0 in im
8.826 * [backup-simplify]: Simplify 0 into 0
8.826 * [backup-simplify]: Simplify 1 into 1
8.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.827 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.828 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.828 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
8.828 * [taylor]: Taking taylor expansion of 1/2 in im
8.828 * [backup-simplify]: Simplify 1/2 into 1/2
8.828 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.828 * [taylor]: Taking taylor expansion of im in im
8.828 * [backup-simplify]: Simplify 0 into 0
8.828 * [backup-simplify]: Simplify 1 into 1
8.828 * [backup-simplify]: Simplify (* 1 1) into 1
8.828 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.829 * [backup-simplify]: Simplify 0 into 0
8.829 * [backup-simplify]: Simplify 0 into 0
8.829 * [backup-simplify]: Simplify 0 into 0
8.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.831 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.831 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.831 * [backup-simplify]: Simplify (+ 0 0) into 0
8.831 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.831 * [taylor]: Taking taylor expansion of 0 in im
8.832 * [backup-simplify]: Simplify 0 into 0
8.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.833 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.833 * [backup-simplify]: Simplify 0 into 0
8.833 * [backup-simplify]: Simplify 0 into 0
8.833 * [backup-simplify]: Simplify 0 into 0
8.833 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
8.833 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1)
8.833 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re)
8.833 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0
8.833 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im
8.833 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
8.833 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
8.833 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.833 * [taylor]: Taking taylor expansion of im in im
8.833 * [backup-simplify]: Simplify 0 into 0
8.833 * [backup-simplify]: Simplify 1 into 1
8.833 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.833 * [taylor]: Taking taylor expansion of re in im
8.833 * [backup-simplify]: Simplify re into re
8.833 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.833 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
8.833 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
8.834 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.834 * [backup-simplify]: Simplify (+ 0 0) into 0
8.834 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
8.834 * [taylor]: Taking taylor expansion of re in im
8.834 * [backup-simplify]: Simplify re into re
8.834 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
8.834 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
8.834 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
8.834 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.834 * [taylor]: Taking taylor expansion of im in re
8.834 * [backup-simplify]: Simplify im into im
8.834 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.834 * [taylor]: Taking taylor expansion of re in re
8.834 * [backup-simplify]: Simplify 0 into 0
8.834 * [backup-simplify]: Simplify 1 into 1
8.834 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.834 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
8.834 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.834 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.835 * [backup-simplify]: Simplify (+ 0 0) into 0
8.835 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.835 * [taylor]: Taking taylor expansion of re in re
8.835 * [backup-simplify]: Simplify 0 into 0
8.835 * [backup-simplify]: Simplify 1 into 1
8.835 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
8.835 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
8.835 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
8.835 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.835 * [taylor]: Taking taylor expansion of im in re
8.835 * [backup-simplify]: Simplify im into im
8.835 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.835 * [taylor]: Taking taylor expansion of re in re
8.835 * [backup-simplify]: Simplify 0 into 0
8.835 * [backup-simplify]: Simplify 1 into 1
8.835 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.835 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
8.835 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.835 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.836 * [backup-simplify]: Simplify (+ 0 0) into 0
8.836 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.836 * [taylor]: Taking taylor expansion of re in re
8.836 * [backup-simplify]: Simplify 0 into 0
8.836 * [backup-simplify]: Simplify 1 into 1
8.836 * [backup-simplify]: Simplify (- 0) into 0
8.836 * [backup-simplify]: Simplify (+ im 0) into im
8.836 * [taylor]: Taking taylor expansion of im in im
8.836 * [backup-simplify]: Simplify 0 into 0
8.836 * [backup-simplify]: Simplify 1 into 1
8.836 * [backup-simplify]: Simplify 0 into 0
8.836 * [backup-simplify]: Simplify (- 1) into -1
8.837 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.837 * [taylor]: Taking taylor expansion of -1 in im
8.837 * [backup-simplify]: Simplify -1 into -1
8.837 * [backup-simplify]: Simplify -1 into -1
8.837 * [backup-simplify]: Simplify 1 into 1
8.837 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
8.837 * [backup-simplify]: Simplify (* 1 1) into 1
8.837 * [backup-simplify]: Simplify (+ 0 1) into 1
8.838 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
8.838 * [backup-simplify]: Simplify (- 0) into 0
8.838 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
8.838 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
8.838 * [taylor]: Taking taylor expansion of 1/2 in im
8.838 * [backup-simplify]: Simplify 1/2 into 1/2
8.838 * [taylor]: Taking taylor expansion of (/ 1 im) in im
8.838 * [taylor]: Taking taylor expansion of im in im
8.838 * [backup-simplify]: Simplify 0 into 0
8.838 * [backup-simplify]: Simplify 1 into 1
8.839 * [backup-simplify]: Simplify (/ 1 1) into 1
8.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.840 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.840 * [backup-simplify]: Simplify 0 into 0
8.840 * [backup-simplify]: Simplify 0 into 0
8.840 * [backup-simplify]: Simplify 0 into 0
8.840 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
8.841 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.841 * [backup-simplify]: Simplify (+ 0 0) into 0
8.841 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
8.841 * [backup-simplify]: Simplify (- 0) into 0
8.841 * [backup-simplify]: Simplify (+ 0 0) into 0
8.841 * [taylor]: Taking taylor expansion of 0 in im
8.841 * [backup-simplify]: Simplify 0 into 0
8.841 * [backup-simplify]: Simplify 0 into 0
8.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.843 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
8.843 * [backup-simplify]: Simplify 0 into 0
8.843 * [backup-simplify]: Simplify 0 into 0
8.843 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re)
8.843 * [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))
8.843 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
8.843 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
8.843 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
8.843 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
8.843 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.843 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.843 * [taylor]: Taking taylor expansion of re in im
8.843 * [backup-simplify]: Simplify re into re
8.843 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.843 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.843 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.843 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.843 * [taylor]: Taking taylor expansion of im in im
8.843 * [backup-simplify]: Simplify 0 into 0
8.843 * [backup-simplify]: Simplify 1 into 1
8.844 * [backup-simplify]: Simplify (* 1 1) into 1
8.844 * [backup-simplify]: Simplify (/ 1 1) into 1
8.844 * [backup-simplify]: Simplify (+ 0 1) into 1
8.844 * [backup-simplify]: Simplify (sqrt 1) into 1
8.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.848 * [backup-simplify]: Simplify (+ 0 0) into 0
8.848 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.848 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.848 * [taylor]: Taking taylor expansion of re in im
8.848 * [backup-simplify]: Simplify re into re
8.849 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.849 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
8.849 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.849 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.849 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.849 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.849 * [taylor]: Taking taylor expansion of re in re
8.849 * [backup-simplify]: Simplify 0 into 0
8.849 * [backup-simplify]: Simplify 1 into 1
8.849 * [backup-simplify]: Simplify (* 1 1) into 1
8.849 * [backup-simplify]: Simplify (/ 1 1) into 1
8.849 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.849 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.849 * [taylor]: Taking taylor expansion of im in re
8.849 * [backup-simplify]: Simplify im into im
8.849 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.849 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.850 * [backup-simplify]: Simplify (+ 1 0) into 1
8.850 * [backup-simplify]: Simplify (sqrt 1) into 1
8.850 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.851 * [backup-simplify]: Simplify (+ 0 0) into 0
8.851 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.851 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.852 * [taylor]: Taking taylor expansion of re in re
8.852 * [backup-simplify]: Simplify 0 into 0
8.852 * [backup-simplify]: Simplify 1 into 1
8.852 * [backup-simplify]: Simplify (/ 1 1) into 1
8.852 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
8.852 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.852 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.852 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.852 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.852 * [taylor]: Taking taylor expansion of re in re
8.852 * [backup-simplify]: Simplify 0 into 0
8.852 * [backup-simplify]: Simplify 1 into 1
8.852 * [backup-simplify]: Simplify (* 1 1) into 1
8.852 * [backup-simplify]: Simplify (/ 1 1) into 1
8.852 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.852 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.852 * [taylor]: Taking taylor expansion of im in re
8.853 * [backup-simplify]: Simplify im into im
8.853 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.853 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.853 * [backup-simplify]: Simplify (+ 1 0) into 1
8.853 * [backup-simplify]: Simplify (sqrt 1) into 1
8.854 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.854 * [backup-simplify]: Simplify (+ 0 0) into 0
8.855 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.855 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.855 * [taylor]: Taking taylor expansion of re in re
8.855 * [backup-simplify]: Simplify 0 into 0
8.855 * [backup-simplify]: Simplify 1 into 1
8.855 * [backup-simplify]: Simplify (/ 1 1) into 1
8.855 * [backup-simplify]: Simplify (- 1) into -1
8.856 * [backup-simplify]: Simplify (+ 1 -1) into 0
8.856 * [taylor]: Taking taylor expansion of 0 in im
8.856 * [backup-simplify]: Simplify 0 into 0
8.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.856 * [backup-simplify]: Simplify (- 0) into 0
8.857 * [backup-simplify]: Simplify (+ 0 0) into 0
8.857 * [taylor]: Taking taylor expansion of 0 in im
8.857 * [backup-simplify]: Simplify 0 into 0
8.857 * [backup-simplify]: Simplify 0 into 0
8.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.858 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.859 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.859 * [backup-simplify]: Simplify (- 0) into 0
8.860 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
8.860 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
8.860 * [taylor]: Taking taylor expansion of 1/2 in im
8.860 * [backup-simplify]: Simplify 1/2 into 1/2
8.860 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.860 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.860 * [taylor]: Taking taylor expansion of im in im
8.860 * [backup-simplify]: Simplify 0 into 0
8.860 * [backup-simplify]: Simplify 1 into 1
8.860 * [backup-simplify]: Simplify (* 1 1) into 1
8.860 * [backup-simplify]: Simplify (/ 1 1) into 1
8.861 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.862 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.862 * [backup-simplify]: Simplify 0 into 0
8.862 * [backup-simplify]: Simplify 0 into 0
8.862 * [backup-simplify]: Simplify 0 into 0
8.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.863 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.863 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.863 * [backup-simplify]: Simplify (+ 0 0) into 0
8.864 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.865 * [backup-simplify]: Simplify (- 0) into 0
8.865 * [backup-simplify]: Simplify (+ 0 0) into 0
8.865 * [taylor]: Taking taylor expansion of 0 in im
8.865 * [backup-simplify]: Simplify 0 into 0
8.865 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.866 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
8.866 * [backup-simplify]: Simplify 0 into 0
8.867 * [backup-simplify]: Simplify 0 into 0
8.867 * [backup-simplify]: Simplify 0 into 0
8.867 * [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)))))
8.867 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
8.867 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
8.867 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.867 * [taylor]: Taking taylor expansion of re in im
8.867 * [backup-simplify]: Simplify re into re
8.867 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.867 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
8.867 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
8.867 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.867 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.867 * [taylor]: Taking taylor expansion of re in im
8.867 * [backup-simplify]: Simplify re into re
8.867 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.867 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.867 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.867 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.867 * [taylor]: Taking taylor expansion of im in im
8.867 * [backup-simplify]: Simplify 0 into 0
8.867 * [backup-simplify]: Simplify 1 into 1
8.868 * [backup-simplify]: Simplify (* 1 1) into 1
8.868 * [backup-simplify]: Simplify (/ 1 1) into 1
8.868 * [backup-simplify]: Simplify (+ 0 1) into 1
8.868 * [backup-simplify]: Simplify (sqrt 1) into 1
8.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.869 * [backup-simplify]: Simplify (+ 0 0) into 0
8.870 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.870 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
8.870 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.870 * [taylor]: Taking taylor expansion of re in re
8.870 * [backup-simplify]: Simplify 0 into 0
8.870 * [backup-simplify]: Simplify 1 into 1
8.870 * [backup-simplify]: Simplify (/ 1 1) into 1
8.870 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.870 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.870 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.870 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.870 * [taylor]: Taking taylor expansion of re in re
8.870 * [backup-simplify]: Simplify 0 into 0
8.870 * [backup-simplify]: Simplify 1 into 1
8.871 * [backup-simplify]: Simplify (* 1 1) into 1
8.871 * [backup-simplify]: Simplify (/ 1 1) into 1
8.871 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.871 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.871 * [taylor]: Taking taylor expansion of im in re
8.871 * [backup-simplify]: Simplify im into im
8.871 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.871 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.871 * [backup-simplify]: Simplify (+ 1 0) into 1
8.872 * [backup-simplify]: Simplify (sqrt 1) into 1
8.872 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.873 * [backup-simplify]: Simplify (+ 0 0) into 0
8.873 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.873 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
8.873 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.873 * [taylor]: Taking taylor expansion of re in re
8.873 * [backup-simplify]: Simplify 0 into 0
8.873 * [backup-simplify]: Simplify 1 into 1
8.873 * [backup-simplify]: Simplify (/ 1 1) into 1
8.873 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.873 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.873 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.873 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.873 * [taylor]: Taking taylor expansion of re in re
8.873 * [backup-simplify]: Simplify 0 into 0
8.874 * [backup-simplify]: Simplify 1 into 1
8.874 * [backup-simplify]: Simplify (* 1 1) into 1
8.874 * [backup-simplify]: Simplify (/ 1 1) into 1
8.874 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.874 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.874 * [taylor]: Taking taylor expansion of im in re
8.874 * [backup-simplify]: Simplify im into im
8.874 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.874 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.875 * [backup-simplify]: Simplify (+ 1 0) into 1
8.875 * [backup-simplify]: Simplify (sqrt 1) into 1
8.875 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.876 * [backup-simplify]: Simplify (+ 0 0) into 0
8.876 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.877 * [backup-simplify]: Simplify (+ 1 1) into 2
8.877 * [taylor]: Taking taylor expansion of 2 in im
8.877 * [backup-simplify]: Simplify 2 into 2
8.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.877 * [backup-simplify]: Simplify (+ 0 0) into 0
8.877 * [taylor]: Taking taylor expansion of 0 in im
8.877 * [backup-simplify]: Simplify 0 into 0
8.877 * [backup-simplify]: Simplify 2 into 2
8.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.879 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.880 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.882 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.882 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
8.882 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
8.882 * [taylor]: Taking taylor expansion of 1/2 in im
8.882 * [backup-simplify]: Simplify 1/2 into 1/2
8.882 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.882 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.882 * [taylor]: Taking taylor expansion of im in im
8.882 * [backup-simplify]: Simplify 0 into 0
8.882 * [backup-simplify]: Simplify 1 into 1
8.883 * [backup-simplify]: Simplify (* 1 1) into 1
8.883 * [backup-simplify]: Simplify (/ 1 1) into 1
8.884 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.885 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.885 * [backup-simplify]: Simplify 0 into 0
8.885 * [backup-simplify]: Simplify 0 into 0
8.885 * [backup-simplify]: Simplify 0 into 0
8.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.889 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.889 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.889 * [backup-simplify]: Simplify (+ 0 0) into 0
8.890 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.890 * [backup-simplify]: Simplify (+ 0 0) into 0
8.891 * [taylor]: Taking taylor expansion of 0 in im
8.891 * [backup-simplify]: Simplify 0 into 0
8.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.893 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
8.894 * [backup-simplify]: Simplify 0 into 0
8.894 * [backup-simplify]: Simplify 0 into 0
8.894 * [backup-simplify]: Simplify 0 into 0
8.894 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re)
8.894 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2)
8.895 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) into (* (sqrt 2.0) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))))
8.895 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in (re im) around 0
8.895 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in im
8.895 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
8.895 * [taylor]: Taking taylor expansion of 2.0 in im
8.895 * [backup-simplify]: Simplify 2.0 into 2.0
8.895 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.896 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.896 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im
8.896 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im
8.896 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im
8.896 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
8.896 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
8.896 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.896 * [taylor]: Taking taylor expansion of im in im
8.896 * [backup-simplify]: Simplify 0 into 0
8.896 * [backup-simplify]: Simplify 1 into 1
8.896 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.896 * [taylor]: Taking taylor expansion of re in im
8.896 * [backup-simplify]: Simplify re into re
8.897 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.897 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
8.897 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
8.897 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.897 * [backup-simplify]: Simplify (+ 0 0) into 0
8.898 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
8.898 * [taylor]: Taking taylor expansion of re in im
8.898 * [backup-simplify]: Simplify re into re
8.898 * [backup-simplify]: Simplify (- re) into (- re)
8.898 * [backup-simplify]: Simplify (+ re (- re)) into 0
8.898 * [backup-simplify]: Simplify (- 0) into 0
8.899 * [backup-simplify]: Simplify (+ 0 0) into 0
8.899 * [backup-simplify]: Simplify (* 1 1) into 1
8.899 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
8.900 * [backup-simplify]: Simplify (+ 1 0) into 1
8.901 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
8.901 * [backup-simplify]: Simplify (- 0) into 0
8.901 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
8.901 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re)
8.901 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re))
8.902 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.903 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
8.904 * [backup-simplify]: Simplify (+ 0 0) into 0
8.904 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
8.904 * [backup-simplify]: Simplify (- 0) into 0
8.905 * [backup-simplify]: Simplify (+ 0 0) into 0
8.905 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0
8.905 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
8.905 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in re
8.905 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.905 * [taylor]: Taking taylor expansion of 2.0 in re
8.905 * [backup-simplify]: Simplify 2.0 into 2.0
8.906 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.906 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.907 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in re
8.907 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re
8.907 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
8.907 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
8.907 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
8.907 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.907 * [taylor]: Taking taylor expansion of im in re
8.907 * [backup-simplify]: Simplify im into im
8.907 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.907 * [taylor]: Taking taylor expansion of re in re
8.907 * [backup-simplify]: Simplify 0 into 0
8.907 * [backup-simplify]: Simplify 1 into 1
8.907 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.907 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
8.907 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.907 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.908 * [backup-simplify]: Simplify (+ 0 0) into 0
8.908 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.908 * [taylor]: Taking taylor expansion of re in re
8.908 * [backup-simplify]: Simplify 0 into 0
8.908 * [backup-simplify]: Simplify 1 into 1
8.909 * [backup-simplify]: Simplify (- 0) into 0
8.909 * [backup-simplify]: Simplify (+ im 0) into im
8.909 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.909 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im))
8.909 * [backup-simplify]: Simplify (- 1) into -1
8.910 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.910 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ -1 im)))) into (/ 1 (pow im 2))
8.910 * [backup-simplify]: Simplify (/ (/ 1 (pow im 2)) (* 2 (sqrt (/ 1 im)))) into (* 1/2 (sqrt (/ 1 (pow im 3))))
8.910 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in re
8.910 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.910 * [taylor]: Taking taylor expansion of 2.0 in re
8.910 * [backup-simplify]: Simplify 2.0 into 2.0
8.911 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.911 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.911 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in re
8.911 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re
8.912 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
8.912 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
8.912 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
8.912 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.912 * [taylor]: Taking taylor expansion of im in re
8.912 * [backup-simplify]: Simplify im into im
8.912 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.912 * [taylor]: Taking taylor expansion of re in re
8.912 * [backup-simplify]: Simplify 0 into 0
8.912 * [backup-simplify]: Simplify 1 into 1
8.912 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.912 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
8.912 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.912 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.913 * [backup-simplify]: Simplify (+ 0 0) into 0
8.913 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.913 * [taylor]: Taking taylor expansion of re in re
8.913 * [backup-simplify]: Simplify 0 into 0
8.913 * [backup-simplify]: Simplify 1 into 1
8.914 * [backup-simplify]: Simplify (- 0) into 0
8.914 * [backup-simplify]: Simplify (+ im 0) into im
8.914 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.914 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im))
8.914 * [backup-simplify]: Simplify (- 1) into -1
8.915 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.915 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ -1 im)))) into (/ 1 (pow im 2))
8.915 * [backup-simplify]: Simplify (/ (/ 1 (pow im 2)) (* 2 (sqrt (/ 1 im)))) into (* 1/2 (sqrt (/ 1 (pow im 3))))
8.916 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt (/ 1 im))) into (* (sqrt 2.0) (sqrt (/ 1 im)))
8.916 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
8.916 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
8.916 * [taylor]: Taking taylor expansion of 2.0 in im
8.916 * [backup-simplify]: Simplify 2.0 into 2.0
8.916 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.917 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.917 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
8.917 * [taylor]: Taking taylor expansion of (/ 1 im) in im
8.917 * [taylor]: Taking taylor expansion of im in im
8.917 * [backup-simplify]: Simplify 0 into 0
8.917 * [backup-simplify]: Simplify 1 into 1
8.918 * [backup-simplify]: Simplify (/ 1 1) into 1
8.918 * [backup-simplify]: Simplify (sqrt 0) into 0
8.920 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.920 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
8.920 * [backup-simplify]: Simplify 0 into 0
8.921 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 (pow im 3))))) (* 0 (sqrt (/ 1 im)))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))))
8.921 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
8.921 * [taylor]: Taking taylor expansion of 1/2 in im
8.921 * [backup-simplify]: Simplify 1/2 into 1/2
8.921 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
8.921 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
8.921 * [taylor]: Taking taylor expansion of 2.0 in im
8.921 * [backup-simplify]: Simplify 2.0 into 2.0
8.922 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.922 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.922 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
8.923 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
8.923 * [taylor]: Taking taylor expansion of (pow im 3) in im
8.923 * [taylor]: Taking taylor expansion of im in im
8.923 * [backup-simplify]: Simplify 0 into 0
8.923 * [backup-simplify]: Simplify 1 into 1
8.923 * [backup-simplify]: Simplify (* 1 1) into 1
8.923 * [backup-simplify]: Simplify (* 1 1) into 1
8.924 * [backup-simplify]: Simplify (/ 1 1) into 1
8.924 * [backup-simplify]: Simplify (sqrt 0) into 0
8.926 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.928 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
8.928 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
8.932 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
8.934 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
8.936 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
8.938 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
8.938 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
8.939 * [backup-simplify]: Simplify (* 1 1) into 1
8.939 * [backup-simplify]: Simplify (+ 0 1) into 1
8.940 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
8.940 * [backup-simplify]: Simplify (- 0) into 0
8.940 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
8.941 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ (* 1/2 (/ 1 im)) im)) (* (/ 1 (pow im 2)) (/ -1 im)))) into (* 1/2 (/ 1 (pow im 3)))
8.942 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow im 3))) (pow (* 1/2 (sqrt (/ 1 (pow im 3)))) 2) (+)) (* 2 (sqrt (/ 1 im)))) into (* 1/8 (sqrt (/ 1 (pow im 5))))
8.943 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
8.944 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/8 (sqrt (/ 1 (pow im 5))))) (+ (* 0 (* 1/2 (sqrt (/ 1 (pow im 3))))) (* 0 (sqrt (/ 1 im))))) into (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 5)))))
8.944 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 5))))) in im
8.944 * [taylor]: Taking taylor expansion of 1/8 in im
8.944 * [backup-simplify]: Simplify 1/8 into 1/8
8.944 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 5)))) in im
8.944 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
8.945 * [taylor]: Taking taylor expansion of 2.0 in im
8.945 * [backup-simplify]: Simplify 2.0 into 2.0
8.945 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.946 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.946 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 5))) in im
8.946 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im
8.946 * [taylor]: Taking taylor expansion of (pow im 5) in im
8.946 * [taylor]: Taking taylor expansion of im in im
8.946 * [backup-simplify]: Simplify 0 into 0
8.946 * [backup-simplify]: Simplify 1 into 1
8.946 * [backup-simplify]: Simplify (* 1 1) into 1
8.947 * [backup-simplify]: Simplify (* 1 1) into 1
8.947 * [backup-simplify]: Simplify (* 1 1) into 1
8.947 * [backup-simplify]: Simplify (/ 1 1) into 1
8.948 * [backup-simplify]: Simplify (sqrt 0) into 0
8.949 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.950 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.951 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.951 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.956 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
8.957 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
8.960 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
8.962 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
8.963 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
8.968 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
8.970 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
8.975 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 im) (pow re 2))) (+ (- (* +nan.0 (sqrt 2.0))) (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 im) re)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow re 2)) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) im)))))))
8.976 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (sqrt 2.0) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))))
8.976 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in (re im) around 0
8.976 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im
8.976 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
8.976 * [taylor]: Taking taylor expansion of 2.0 in im
8.976 * [backup-simplify]: Simplify 2.0 into 2.0
8.976 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.977 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.977 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im
8.977 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im
8.977 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
8.977 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
8.977 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
8.977 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.977 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.977 * [taylor]: Taking taylor expansion of re in im
8.977 * [backup-simplify]: Simplify re into re
8.977 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.978 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.978 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.978 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.978 * [taylor]: Taking taylor expansion of im in im
8.978 * [backup-simplify]: Simplify 0 into 0
8.978 * [backup-simplify]: Simplify 1 into 1
8.978 * [backup-simplify]: Simplify (* 1 1) into 1
8.979 * [backup-simplify]: Simplify (/ 1 1) into 1
8.979 * [backup-simplify]: Simplify (+ 0 1) into 1
8.980 * [backup-simplify]: Simplify (sqrt 1) into 1
8.982 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.984 * [backup-simplify]: Simplify (+ 0 0) into 0
8.985 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.985 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.985 * [taylor]: Taking taylor expansion of re in im
8.985 * [backup-simplify]: Simplify re into re
8.985 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.985 * [backup-simplify]: Simplify (+ 1 0) into 1
8.986 * [backup-simplify]: Simplify (/ 1 1) into 1
8.986 * [backup-simplify]: Simplify (sqrt 0) into 0
8.987 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.987 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in re
8.987 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.988 * [taylor]: Taking taylor expansion of 2.0 in re
8.988 * [backup-simplify]: Simplify 2.0 into 2.0
8.988 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.989 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re
8.989 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
8.989 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
8.989 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.989 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.989 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.989 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.989 * [taylor]: Taking taylor expansion of re in re
8.989 * [backup-simplify]: Simplify 0 into 0
8.989 * [backup-simplify]: Simplify 1 into 1
8.989 * [backup-simplify]: Simplify (* 1 1) into 1
8.990 * [backup-simplify]: Simplify (/ 1 1) into 1
8.990 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.990 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.990 * [taylor]: Taking taylor expansion of im in re
8.990 * [backup-simplify]: Simplify im into im
8.990 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.990 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.991 * [backup-simplify]: Simplify (+ 1 0) into 1
8.991 * [backup-simplify]: Simplify (sqrt 1) into 1
8.992 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.993 * [backup-simplify]: Simplify (+ 0 0) into 0
8.994 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.994 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.994 * [taylor]: Taking taylor expansion of re in re
8.994 * [backup-simplify]: Simplify 0 into 0
8.994 * [backup-simplify]: Simplify 1 into 1
8.994 * [backup-simplify]: Simplify (/ 1 1) into 1
8.995 * [backup-simplify]: Simplify (- 1) into -1
8.995 * [backup-simplify]: Simplify (+ 1 -1) into 0
8.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.996 * [backup-simplify]: Simplify (- 0) into 0
8.997 * [backup-simplify]: Simplify (+ 0 0) into 0
8.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.999 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
9.000 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.002 * [backup-simplify]: Simplify (- 0) into 0
9.002 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
9.002 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2))
9.002 * [backup-simplify]: Simplify (sqrt 0) into 0
9.003 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2))
9.004 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in re
9.004 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
9.004 * [taylor]: Taking taylor expansion of 2.0 in re
9.004 * [backup-simplify]: Simplify 2.0 into 2.0
9.004 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.005 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.005 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re
9.005 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
9.005 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
9.005 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
9.005 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
9.005 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.005 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.005 * [taylor]: Taking taylor expansion of re in re
9.005 * [backup-simplify]: Simplify 0 into 0
9.005 * [backup-simplify]: Simplify 1 into 1
9.006 * [backup-simplify]: Simplify (* 1 1) into 1
9.006 * [backup-simplify]: Simplify (/ 1 1) into 1
9.006 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.006 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.006 * [taylor]: Taking taylor expansion of im in re
9.006 * [backup-simplify]: Simplify im into im
9.006 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.006 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.007 * [backup-simplify]: Simplify (+ 1 0) into 1
9.007 * [backup-simplify]: Simplify (sqrt 1) into 1
9.008 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.009 * [backup-simplify]: Simplify (+ 0 0) into 0
9.010 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.010 * [taylor]: Taking taylor expansion of (/ 1 re) in re
9.010 * [taylor]: Taking taylor expansion of re in re
9.010 * [backup-simplify]: Simplify 0 into 0
9.010 * [backup-simplify]: Simplify 1 into 1
9.010 * [backup-simplify]: Simplify (/ 1 1) into 1
9.011 * [backup-simplify]: Simplify (- 1) into -1
9.011 * [backup-simplify]: Simplify (+ 1 -1) into 0
9.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.012 * [backup-simplify]: Simplify (- 0) into 0
9.013 * [backup-simplify]: Simplify (+ 0 0) into 0
9.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.015 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
9.016 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.018 * [backup-simplify]: Simplify (- 0) into 0
9.018 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
9.018 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2))
9.018 * [backup-simplify]: Simplify (sqrt 0) into 0
9.019 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2))
9.020 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
9.020 * [taylor]: Taking taylor expansion of 0 in im
9.020 * [backup-simplify]: Simplify 0 into 0
9.020 * [backup-simplify]: Simplify 0 into 0
9.021 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (pow im 2))))
9.021 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2.0) (pow im 2)))) in im
9.021 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (pow im 2))) in im
9.021 * [taylor]: Taking taylor expansion of +nan.0 in im
9.021 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.021 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow im 2)) in im
9.021 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
9.021 * [taylor]: Taking taylor expansion of 2.0 in im
9.021 * [backup-simplify]: Simplify 2.0 into 2.0
9.022 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.022 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.022 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.022 * [taylor]: Taking taylor expansion of im in im
9.022 * [backup-simplify]: Simplify 0 into 0
9.022 * [backup-simplify]: Simplify 1 into 1
9.022 * [backup-simplify]: Simplify 0 into 0
9.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.025 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.025 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
9.026 * [backup-simplify]: Simplify (+ 0 0) into 0
9.026 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
9.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.028 * [backup-simplify]: Simplify (- 0) into 0
9.028 * [backup-simplify]: Simplify (+ 0 0) into 0
9.028 * [backup-simplify]: Simplify (- (+ (* (* 2 (pow im 2)) (/ 0 (* 1/2 (/ 1 (pow im 2))))))) into 0
9.029 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (* +nan.0 (pow im 4))
9.031 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
9.032 * [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))))
9.032 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2.0) (pow im 4)))) in im
9.032 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (pow im 4))) in im
9.032 * [taylor]: Taking taylor expansion of +nan.0 in im
9.032 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.032 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow im 4)) in im
9.032 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
9.032 * [taylor]: Taking taylor expansion of 2.0 in im
9.032 * [backup-simplify]: Simplify 2.0 into 2.0
9.033 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.033 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.033 * [taylor]: Taking taylor expansion of (pow im 4) in im
9.033 * [taylor]: Taking taylor expansion of im in im
9.033 * [backup-simplify]: Simplify 0 into 0
9.033 * [backup-simplify]: Simplify 1 into 1
9.034 * [backup-simplify]: Simplify 0 into 0
9.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.036 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
9.037 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
9.037 * [backup-simplify]: Simplify (+ 0 0) into 0
9.039 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
9.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.040 * [backup-simplify]: Simplify (- 0) into 0
9.040 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
9.041 * [backup-simplify]: Simplify (- (+ (* (* 2 (pow im 2)) (/ (- (* 1/8 (/ 1 (pow im 4)))) (* 1/2 (/ 1 (pow im 2))))) (* 0 (/ 0 (* 1/2 (/ 1 (pow im 2))))))) into 1/2
9.042 * [backup-simplify]: Simplify (/ (- 1/2 (+ (* 2 (* (* +nan.0 (pow im 2)) (* +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (- 1/2 (* +nan.0 (pow im 6))))
9.043 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
9.045 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- 1/2 (* +nan.0 (pow im 6))))) (+ (* 0 (* +nan.0 (pow im 4))) (+ (* 0 (* +nan.0 (pow im 2))) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (* (sqrt 2.0) (pow im 6))))))
9.045 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (* (sqrt 2.0) (pow im 6)))))) in im
9.045 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (* (sqrt 2.0) (pow im 6))))) in im
9.045 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
9.045 * [taylor]: Taking taylor expansion of +nan.0 in im
9.045 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.045 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
9.045 * [taylor]: Taking taylor expansion of 2.0 in im
9.045 * [backup-simplify]: Simplify 2.0 into 2.0
9.046 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.046 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.046 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2.0) (pow im 6)))) in im
9.046 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (pow im 6))) in im
9.046 * [taylor]: Taking taylor expansion of +nan.0 in im
9.046 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.046 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow im 6)) in im
9.046 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
9.046 * [taylor]: Taking taylor expansion of 2.0 in im
9.047 * [backup-simplify]: Simplify 2.0 into 2.0
9.047 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.048 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.048 * [taylor]: Taking taylor expansion of (pow im 6) in im
9.048 * [taylor]: Taking taylor expansion of im in im
9.048 * [backup-simplify]: Simplify 0 into 0
9.048 * [backup-simplify]: Simplify 1 into 1
9.049 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
9.051 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
9.053 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
9.055 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
9.055 * [backup-simplify]: Simplify (* 1 1) into 1
9.056 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
9.057 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
9.059 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
9.061 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
9.061 * [backup-simplify]: Simplify 0 into 0
9.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
9.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.064 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
9.065 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
9.065 * [backup-simplify]: Simplify (+ 0 0) into 0
9.066 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (pow im 4)))) (* 2 (* (/ 1/2 (pow im 2)) 0)))) (* 2 1)) into 0
9.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.067 * [backup-simplify]: Simplify (- 0) into 0
9.068 * [backup-simplify]: Simplify (+ 0 0) into 0
9.069 * [backup-simplify]: Simplify (- (+ (* (* 2 (pow im 2)) (/ 0 (* 1/2 (/ 1 (pow im 2))))) (* 0 (/ (- (* 1/8 (/ 1 (pow im 4)))) (* 1/2 (/ 1 (pow im 2))))) (* 1/2 (/ 0 (* 1/2 (/ 1 (pow im 2))))))) into 0
9.070 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (pow im 4)) 2) (+ (* 2 (* (* +nan.0 (pow im 2)) (* +nan.0 (- 1/2 (* +nan.0 (pow im 6)))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (pow im 2)) (- (* +nan.0 (pow im 8)))))
9.072 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
9.074 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (pow im 2)) (- (* +nan.0 (pow im 8)))))) (+ (* 0 (* +nan.0 (- 1/2 (* +nan.0 (pow im 6))))) (+ (* 0 (* +nan.0 (pow im 4))) (+ (* 0 (* +nan.0 (pow im 2))) (* 0 0))))) into (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 8))) (- (* +nan.0 (* (sqrt 2.0) (pow im 2))))))
9.074 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 8))) (- (* +nan.0 (* (sqrt 2.0) (pow im 2)))))) in im
9.074 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2.0) (pow im 8))) (- (* +nan.0 (* (sqrt 2.0) (pow im 2))))) in im
9.074 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (pow im 8))) in im
9.074 * [taylor]: Taking taylor expansion of +nan.0 in im
9.074 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.074 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow im 8)) in im
9.074 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
9.074 * [taylor]: Taking taylor expansion of 2.0 in im
9.074 * [backup-simplify]: Simplify 2.0 into 2.0
9.075 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.075 * [taylor]: Taking taylor expansion of (pow im 8) in im
9.075 * [taylor]: Taking taylor expansion of im in im
9.076 * [backup-simplify]: Simplify 0 into 0
9.076 * [backup-simplify]: Simplify 1 into 1
9.076 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2.0) (pow im 2)))) in im
9.076 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (pow im 2))) in im
9.076 * [taylor]: Taking taylor expansion of +nan.0 in im
9.076 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.076 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow im 2)) in im
9.076 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
9.076 * [taylor]: Taking taylor expansion of 2.0 in im
9.076 * [backup-simplify]: Simplify 2.0 into 2.0
9.076 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.077 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.077 * [taylor]: Taking taylor expansion of im in im
9.077 * [backup-simplify]: Simplify 0 into 0
9.077 * [backup-simplify]: Simplify 1 into 1
9.078 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
9.078 * [backup-simplify]: Simplify (+ 0 0) into 0
9.079 * [backup-simplify]: Simplify (- 0) into 0
9.079 * [backup-simplify]: Simplify 0 into 0
9.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.080 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 1)) into 0
9.081 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
9.082 * [backup-simplify]: Simplify (- 0) into 0
9.082 * [backup-simplify]: Simplify 0 into 0
9.082 * [backup-simplify]: Simplify 0 into 0
9.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
9.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.086 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0
9.087 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
9.087 * [backup-simplify]: Simplify (+ 0 0) into 0
9.089 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* (/ 1/2 (pow im 2)) (/ -1/8 (pow im 4)))))) (* 2 1)) into (/ 1/16 (pow im 6))
9.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.091 * [backup-simplify]: Simplify (- 0) into 0
9.091 * [backup-simplify]: Simplify (+ (/ 1/16 (pow im 6)) 0) into (* 1/16 (/ 1 (pow im 6)))
9.092 * [backup-simplify]: Simplify (- (+ (* (* 2 (pow im 2)) (/ (* 1/16 (/ 1 (pow im 6))) (* 1/2 (/ 1 (pow im 2))))) (* 0 (/ 0 (* 1/2 (/ 1 (pow im 2))))) (* 1/2 (/ (- (* 1/8 (/ 1 (pow im 4)))) (* 1/2 (/ 1 (pow im 2))))) (* 0 (/ 0 (* 1/2 (/ 1 (pow im 2))))))) into (- (* 1/8 (/ 1 (pow im 2))))
9.095 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 2)))) (+ (* 2 (* (* +nan.0 (pow im 2)) (* +nan.0 (+ (* +nan.0 (pow im 2)) (- (* +nan.0 (pow im 8))))))) (* 2 (* (* +nan.0 (pow im 4)) (* +nan.0 (- 1/2 (* +nan.0 (pow im 6)))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (pow im 4)) (- (* 1/8 (/ 1 (pow im 2))) (* +nan.0 (pow im 10)))))
9.096 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
9.099 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (pow im 4)) (- (* 1/8 (/ 1 (pow im 2))) (* +nan.0 (pow im 10)))))) (+ (* 0 (* +nan.0 (+ (* +nan.0 (pow im 2)) (- (* +nan.0 (pow im 8)))))) (+ (* 0 (* +nan.0 (- 1/2 (* +nan.0 (pow im 6))))) (+ (* 0 (* +nan.0 (pow im 4))) (+ (* 0 (* +nan.0 (pow im 2))) (* 0 0)))))) into (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 4))) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (* (sqrt 2.0) (pow im 10))))))))
9.099 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 4))) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (* (sqrt 2.0) (pow im 10)))))))) in im
9.099 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2.0) (pow im 4))) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (* (sqrt 2.0) (pow im 10))))))) in im
9.099 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (pow im 4))) in im
9.099 * [taylor]: Taking taylor expansion of +nan.0 in im
9.099 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.099 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow im 4)) in im
9.099 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
9.099 * [taylor]: Taking taylor expansion of 2.0 in im
9.099 * [backup-simplify]: Simplify 2.0 into 2.0
9.100 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.101 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.101 * [taylor]: Taking taylor expansion of (pow im 4) in im
9.101 * [taylor]: Taking taylor expansion of im in im
9.101 * [backup-simplify]: Simplify 0 into 0
9.101 * [backup-simplify]: Simplify 1 into 1
9.101 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (* (sqrt 2.0) (pow im 10)))))) in im
9.101 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (* (sqrt 2.0) (pow im 10))))) in im
9.101 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
9.101 * [taylor]: Taking taylor expansion of +nan.0 in im
9.101 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.101 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
9.101 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
9.101 * [taylor]: Taking taylor expansion of 2.0 in im
9.101 * [backup-simplify]: Simplify 2.0 into 2.0
9.101 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.102 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.102 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.102 * [taylor]: Taking taylor expansion of im in im
9.102 * [backup-simplify]: Simplify 0 into 0
9.102 * [backup-simplify]: Simplify 1 into 1
9.103 * [backup-simplify]: Simplify (* 1 1) into 1
9.104 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
9.104 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2.0) (pow im 10)))) in im
9.104 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (pow im 10))) in im
9.104 * [taylor]: Taking taylor expansion of +nan.0 in im
9.104 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.104 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow im 10)) in im
9.104 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
9.104 * [taylor]: Taking taylor expansion of 2.0 in im
9.104 * [backup-simplify]: Simplify 2.0 into 2.0
9.105 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.106 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.106 * [taylor]: Taking taylor expansion of (pow im 10) in im
9.106 * [taylor]: Taking taylor expansion of im in im
9.106 * [backup-simplify]: Simplify 0 into 0
9.106 * [backup-simplify]: Simplify 1 into 1
9.107 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
9.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
9.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.112 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
9.112 * [backup-simplify]: Simplify (+ 0 0) into 0
9.113 * [backup-simplify]: Simplify (- 0) into 0
9.113 * [backup-simplify]: Simplify (+ 0 0) into 0
9.114 * [backup-simplify]: Simplify (- 0) into 0
9.114 * [backup-simplify]: Simplify 0 into 0
9.114 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
9.115 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
9.115 * [backup-simplify]: Simplify (+ 0 0) into 0
9.115 * [backup-simplify]: Simplify (- 0) into 0
9.115 * [backup-simplify]: Simplify 0 into 0
9.118 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* (/ 1 im) 1) 2)) (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 re)) 2))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))
9.118 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (sqrt 2.0) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))))
9.118 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in (re im) around 0
9.118 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in im
9.118 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
9.118 * [taylor]: Taking taylor expansion of 2.0 in im
9.118 * [backup-simplify]: Simplify 2.0 into 2.0
9.118 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.119 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.119 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im
9.119 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
9.119 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
9.119 * [taylor]: Taking taylor expansion of (/ 1 re) in im
9.119 * [taylor]: Taking taylor expansion of re in im
9.119 * [backup-simplify]: Simplify re into re
9.119 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
9.119 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
9.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
9.119 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
9.119 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.119 * [taylor]: Taking taylor expansion of re in im
9.119 * [backup-simplify]: Simplify re into re
9.119 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.119 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
9.119 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.119 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.119 * [taylor]: Taking taylor expansion of im in im
9.119 * [backup-simplify]: Simplify 0 into 0
9.119 * [backup-simplify]: Simplify 1 into 1
9.120 * [backup-simplify]: Simplify (* 1 1) into 1
9.120 * [backup-simplify]: Simplify (/ 1 1) into 1
9.120 * [backup-simplify]: Simplify (+ 0 1) into 1
9.120 * [backup-simplify]: Simplify (sqrt 1) into 1
9.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.121 * [backup-simplify]: Simplify (+ 0 0) into 0
9.122 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.122 * [backup-simplify]: Simplify (+ 0 1) into 1
9.122 * [backup-simplify]: Simplify (/ 1 1) into 1
9.123 * [backup-simplify]: Simplify (sqrt 0) into 0
9.123 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
9.124 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in re
9.124 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
9.124 * [taylor]: Taking taylor expansion of 2.0 in re
9.124 * [backup-simplify]: Simplify 2.0 into 2.0
9.124 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.124 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.124 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re
9.124 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
9.124 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
9.124 * [taylor]: Taking taylor expansion of (/ 1 re) in re
9.124 * [taylor]: Taking taylor expansion of re in re
9.124 * [backup-simplify]: Simplify 0 into 0
9.124 * [backup-simplify]: Simplify 1 into 1
9.125 * [backup-simplify]: Simplify (/ 1 1) into 1
9.125 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
9.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
9.125 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.125 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.125 * [taylor]: Taking taylor expansion of re in re
9.125 * [backup-simplify]: Simplify 0 into 0
9.125 * [backup-simplify]: Simplify 1 into 1
9.125 * [backup-simplify]: Simplify (* 1 1) into 1
9.125 * [backup-simplify]: Simplify (/ 1 1) into 1
9.125 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.125 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.125 * [taylor]: Taking taylor expansion of im in re
9.125 * [backup-simplify]: Simplify im into im
9.125 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.126 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.126 * [backup-simplify]: Simplify (+ 1 0) into 1
9.126 * [backup-simplify]: Simplify (sqrt 1) into 1
9.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.129 * [backup-simplify]: Simplify (+ 0 0) into 0
9.129 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.129 * [backup-simplify]: Simplify (+ 1 1) into 2
9.130 * [backup-simplify]: Simplify (/ 1 2) into 1/2
9.130 * [backup-simplify]: Simplify (sqrt 0) into 0
9.131 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0
9.131 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in re
9.131 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
9.131 * [taylor]: Taking taylor expansion of 2.0 in re
9.131 * [backup-simplify]: Simplify 2.0 into 2.0
9.131 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.132 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.132 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re
9.132 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
9.132 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
9.132 * [taylor]: Taking taylor expansion of (/ 1 re) in re
9.132 * [taylor]: Taking taylor expansion of re in re
9.132 * [backup-simplify]: Simplify 0 into 0
9.132 * [backup-simplify]: Simplify 1 into 1
9.132 * [backup-simplify]: Simplify (/ 1 1) into 1
9.132 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
9.132 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
9.132 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.132 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.132 * [taylor]: Taking taylor expansion of re in re
9.132 * [backup-simplify]: Simplify 0 into 0
9.132 * [backup-simplify]: Simplify 1 into 1
9.132 * [backup-simplify]: Simplify (* 1 1) into 1
9.133 * [backup-simplify]: Simplify (/ 1 1) into 1
9.133 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.133 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.133 * [taylor]: Taking taylor expansion of im in re
9.133 * [backup-simplify]: Simplify im into im
9.133 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.133 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.133 * [backup-simplify]: Simplify (+ 1 0) into 1
9.133 * [backup-simplify]: Simplify (sqrt 1) into 1
9.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.134 * [backup-simplify]: Simplify (+ 0 0) into 0
9.135 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.135 * [backup-simplify]: Simplify (+ 1 1) into 2
9.135 * [backup-simplify]: Simplify (/ 1 2) into 1/2
9.136 * [backup-simplify]: Simplify (sqrt 0) into 0
9.136 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0
9.137 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
9.137 * [taylor]: Taking taylor expansion of 0 in im
9.137 * [backup-simplify]: Simplify 0 into 0
9.137 * [backup-simplify]: Simplify 0 into 0
9.138 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
9.138 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
9.138 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
9.138 * [taylor]: Taking taylor expansion of +nan.0 in im
9.138 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.138 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
9.138 * [taylor]: Taking taylor expansion of 2.0 in im
9.138 * [backup-simplify]: Simplify 2.0 into 2.0
9.138 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.139 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.139 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
9.140 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
9.141 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
9.141 * [backup-simplify]: Simplify 0 into 0
9.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.142 * [backup-simplify]: Simplify (+ 0 0) into 0
9.142 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0
9.144 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
9.145 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
9.147 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
9.147 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
9.147 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
9.147 * [taylor]: Taking taylor expansion of +nan.0 in im
9.147 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.147 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
9.147 * [taylor]: Taking taylor expansion of 2.0 in im
9.147 * [backup-simplify]: Simplify 2.0 into 2.0
9.147 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.147 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.148 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
9.149 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
9.150 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
9.151 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
9.151 * [backup-simplify]: Simplify (- 0) into 0
9.151 * [backup-simplify]: Simplify 0 into 0
9.151 * [backup-simplify]: Simplify 0 into 0
9.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.155 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
9.156 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.157 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
9.157 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ (* 1/2 (/ 1 (pow im 2))) 2)) (* 0 (/ 0 2)))) into (- (* 1/8 (/ 1 (pow im 2))))
9.160 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 2)))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (+ (* 1/8 (/ 1 (pow im 2))) (- +nan.0)))
9.161 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
9.163 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* 1/8 (/ 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))))))
9.163 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
9.163 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
9.163 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
9.163 * [taylor]: Taking taylor expansion of +nan.0 in im
9.163 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.163 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
9.163 * [taylor]: Taking taylor expansion of 2.0 in im
9.163 * [backup-simplify]: Simplify 2.0 into 2.0
9.164 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.165 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.165 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
9.165 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
9.165 * [taylor]: Taking taylor expansion of +nan.0 in im
9.165 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.165 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
9.165 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
9.165 * [taylor]: Taking taylor expansion of 2.0 in im
9.165 * [backup-simplify]: Simplify 2.0 into 2.0
9.165 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.166 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.166 * [taylor]: Taking taylor expansion of im in im
9.166 * [backup-simplify]: Simplify 0 into 0
9.166 * [backup-simplify]: Simplify 1 into 1
9.167 * [backup-simplify]: Simplify (* 1 1) into 1
9.168 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
9.169 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
9.170 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
9.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
9.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.175 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
9.175 * [backup-simplify]: Simplify (- 0) into 0
9.177 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
9.179 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
9.180 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
9.183 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 (- re))) 3)) (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 (- re))) 2)) (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 (- re)))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 3))) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
9.183 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2)
9.183 * [backup-simplify]: Simplify (sqrt (- (sqrt (+ (* re re) (* im im))) re)) into (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))
9.183 * [approximate]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) in (re im) around 0
9.183 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im
9.183 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im
9.183 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
9.183 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
9.183 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.183 * [taylor]: Taking taylor expansion of im in im
9.183 * [backup-simplify]: Simplify 0 into 0
9.183 * [backup-simplify]: Simplify 1 into 1
9.183 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.183 * [taylor]: Taking taylor expansion of re in im
9.183 * [backup-simplify]: Simplify re into re
9.183 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.183 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
9.183 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
9.184 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
9.184 * [backup-simplify]: Simplify (+ 0 0) into 0
9.184 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
9.184 * [taylor]: Taking taylor expansion of re in im
9.184 * [backup-simplify]: Simplify re into re
9.184 * [backup-simplify]: Simplify (- re) into (- re)
9.184 * [backup-simplify]: Simplify (+ re (- re)) into 0
9.184 * [backup-simplify]: Simplify (- 0) into 0
9.184 * [backup-simplify]: Simplify (+ 0 0) into 0
9.185 * [backup-simplify]: Simplify (* 1 1) into 1
9.185 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
9.185 * [backup-simplify]: Simplify (+ 1 0) into 1
9.186 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re)
9.186 * [backup-simplify]: Simplify (- 0) into 0
9.186 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re))
9.186 * [backup-simplify]: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt (/ 1 re)) (sqrt 1/2))
9.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.187 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0
9.187 * [backup-simplify]: Simplify (+ 0 0) into 0
9.187 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0
9.188 * [backup-simplify]: Simplify (- 0) into 0
9.188 * [backup-simplify]: Simplify (+ 0 0) into 0
9.188 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0
9.188 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re
9.188 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
9.188 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
9.188 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
9.188 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.188 * [taylor]: Taking taylor expansion of im in re
9.188 * [backup-simplify]: Simplify im into im
9.188 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.188 * [taylor]: Taking taylor expansion of re in re
9.188 * [backup-simplify]: Simplify 0 into 0
9.188 * [backup-simplify]: Simplify 1 into 1
9.188 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.188 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
9.189 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
9.189 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.189 * [backup-simplify]: Simplify (+ 0 0) into 0
9.189 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
9.189 * [taylor]: Taking taylor expansion of re in re
9.189 * [backup-simplify]: Simplify 0 into 0
9.189 * [backup-simplify]: Simplify 1 into 1
9.189 * [backup-simplify]: Simplify (- 0) into 0
9.189 * [backup-simplify]: Simplify (+ im 0) into im
9.189 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
9.190 * [backup-simplify]: Simplify (- 1) into -1
9.190 * [backup-simplify]: Simplify (+ 0 -1) into -1
9.190 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im)))
9.190 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re
9.190 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re
9.190 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
9.190 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
9.190 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.190 * [taylor]: Taking taylor expansion of im in re
9.190 * [backup-simplify]: Simplify im into im
9.190 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.190 * [taylor]: Taking taylor expansion of re in re
9.190 * [backup-simplify]: Simplify 0 into 0
9.190 * [backup-simplify]: Simplify 1 into 1
9.190 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.190 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
9.190 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
9.190 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.191 * [backup-simplify]: Simplify (+ 0 0) into 0
9.191 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
9.191 * [taylor]: Taking taylor expansion of re in re
9.191 * [backup-simplify]: Simplify 0 into 0
9.191 * [backup-simplify]: Simplify 1 into 1
9.191 * [backup-simplify]: Simplify (- 0) into 0
9.191 * [backup-simplify]: Simplify (+ im 0) into im
9.191 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
9.191 * [backup-simplify]: Simplify (- 1) into -1
9.192 * [backup-simplify]: Simplify (+ 0 -1) into -1
9.192 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im)))
9.192 * [taylor]: Taking taylor expansion of (sqrt im) in im
9.192 * [taylor]: Taking taylor expansion of im in im
9.192 * [backup-simplify]: Simplify 0 into 0
9.192 * [backup-simplify]: Simplify 1 into 1
9.192 * [backup-simplify]: Simplify (sqrt 0) into 0
9.193 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
9.193 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.193 * [taylor]: Taking taylor expansion of (* -1/2 (sqrt (/ 1 im))) in im
9.193 * [taylor]: Taking taylor expansion of -1/2 in im
9.193 * [backup-simplify]: Simplify -1/2 into -1/2
9.193 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
9.193 * [taylor]: Taking taylor expansion of (/ 1 im) in im
9.193 * [taylor]: Taking taylor expansion of im in im
9.193 * [backup-simplify]: Simplify 0 into 0
9.193 * [backup-simplify]: Simplify 1 into 1
9.193 * [backup-simplify]: Simplify (/ 1 1) into 1
9.194 * [backup-simplify]: Simplify (sqrt 0) into 0
9.195 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
9.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.197 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
9.198 * [backup-simplify]: Simplify (+ (* -1/2 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0)
9.198 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
9.200 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
9.200 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.201 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* im 1) 2)) (+ (* (- +nan.0) (* im re)) (* +nan.0 (* im 1)))) into (- (+ (* +nan.0 (pow im 2)) (- (+ (* +nan.0 (* re im)) (- (* +nan.0 im))))))
9.201 * [backup-simplify]: Simplify (sqrt (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) into (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))
9.201 * [approximate]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in (re im) around 0
9.201 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im
9.201 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
9.201 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
9.201 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
9.201 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
9.201 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.201 * [taylor]: Taking taylor expansion of re in im
9.201 * [backup-simplify]: Simplify re into re
9.201 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.201 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
9.201 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.201 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.201 * [taylor]: Taking taylor expansion of im in im
9.201 * [backup-simplify]: Simplify 0 into 0
9.201 * [backup-simplify]: Simplify 1 into 1
9.201 * [backup-simplify]: Simplify (* 1 1) into 1
9.202 * [backup-simplify]: Simplify (/ 1 1) into 1
9.202 * [backup-simplify]: Simplify (+ 0 1) into 1
9.202 * [backup-simplify]: Simplify (sqrt 1) into 1
9.203 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.203 * [backup-simplify]: Simplify (+ 0 0) into 0
9.204 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.204 * [taylor]: Taking taylor expansion of (/ 1 re) in im
9.204 * [taylor]: Taking taylor expansion of re in im
9.204 * [backup-simplify]: Simplify re into re
9.204 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
9.204 * [backup-simplify]: Simplify (+ 1 0) into 1
9.204 * [backup-simplify]: Simplify (sqrt 0) into 0
9.205 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
9.205 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
9.205 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
9.205 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
9.205 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
9.205 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.205 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.205 * [taylor]: Taking taylor expansion of re in re
9.205 * [backup-simplify]: Simplify 0 into 0
9.205 * [backup-simplify]: Simplify 1 into 1
9.206 * [backup-simplify]: Simplify (* 1 1) into 1
9.206 * [backup-simplify]: Simplify (/ 1 1) into 1
9.206 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.206 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.206 * [taylor]: Taking taylor expansion of im in re
9.206 * [backup-simplify]: Simplify im into im
9.206 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.206 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.206 * [backup-simplify]: Simplify (+ 1 0) into 1
9.207 * [backup-simplify]: Simplify (sqrt 1) into 1
9.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.208 * [backup-simplify]: Simplify (+ 0 0) into 0
9.208 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.208 * [taylor]: Taking taylor expansion of (/ 1 re) in re
9.208 * [taylor]: Taking taylor expansion of re in re
9.208 * [backup-simplify]: Simplify 0 into 0
9.208 * [backup-simplify]: Simplify 1 into 1
9.208 * [backup-simplify]: Simplify (/ 1 1) into 1
9.209 * [backup-simplify]: Simplify (- 1) into -1
9.209 * [backup-simplify]: Simplify (+ 1 -1) into 0
9.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.210 * [backup-simplify]: Simplify (- 0) into 0
9.210 * [backup-simplify]: Simplify (+ 0 0) into 0
9.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.212 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
9.213 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.215 * [backup-simplify]: Simplify (- 0) into 0
9.216 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
9.216 * [backup-simplify]: Simplify (sqrt 0) into 0
9.217 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
9.217 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
9.217 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
9.217 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
9.217 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
9.217 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.217 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.217 * [taylor]: Taking taylor expansion of re in re
9.217 * [backup-simplify]: Simplify 0 into 0
9.217 * [backup-simplify]: Simplify 1 into 1
9.217 * [backup-simplify]: Simplify (* 1 1) into 1
9.218 * [backup-simplify]: Simplify (/ 1 1) into 1
9.218 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.218 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.218 * [taylor]: Taking taylor expansion of im in re
9.218 * [backup-simplify]: Simplify im into im
9.218 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.218 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.219 * [backup-simplify]: Simplify (+ 1 0) into 1
9.219 * [backup-simplify]: Simplify (sqrt 1) into 1
9.220 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.221 * [backup-simplify]: Simplify (+ 0 0) into 0
9.222 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.222 * [taylor]: Taking taylor expansion of (/ 1 re) in re
9.222 * [taylor]: Taking taylor expansion of re in re
9.222 * [backup-simplify]: Simplify 0 into 0
9.222 * [backup-simplify]: Simplify 1 into 1
9.222 * [backup-simplify]: Simplify (/ 1 1) into 1
9.223 * [backup-simplify]: Simplify (- 1) into -1
9.223 * [backup-simplify]: Simplify (+ 1 -1) into 0
9.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.224 * [backup-simplify]: Simplify (- 0) into 0
9.225 * [backup-simplify]: Simplify (+ 0 0) into 0
9.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.227 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
9.228 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.229 * [backup-simplify]: Simplify (- 0) into 0
9.230 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
9.230 * [backup-simplify]: Simplify (sqrt 0) into 0
9.231 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
9.231 * [taylor]: Taking taylor expansion of 0 in im
9.231 * [backup-simplify]: Simplify 0 into 0
9.231 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 2)) in im
9.231 * [taylor]: Taking taylor expansion of +nan.0 in im
9.231 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.231 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.231 * [taylor]: Taking taylor expansion of im in im
9.231 * [backup-simplify]: Simplify 0 into 0
9.231 * [backup-simplify]: Simplify 1 into 1
9.232 * [backup-simplify]: Simplify (* 1 1) into 1
9.232 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0
9.233 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.234 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0
9.234 * [backup-simplify]: Simplify 0 into 0
9.234 * [backup-simplify]: Simplify 0 into 0
9.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.236 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.236 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
9.237 * [backup-simplify]: Simplify (+ 0 0) into 0
9.238 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
9.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.239 * [backup-simplify]: Simplify (- 0) into 0
9.239 * [backup-simplify]: Simplify (+ 0 0) into 0
9.240 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
9.240 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 4)) in im
9.241 * [taylor]: Taking taylor expansion of +nan.0 in im
9.241 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.241 * [taylor]: Taking taylor expansion of (pow im 4) in im
9.241 * [taylor]: Taking taylor expansion of im in im
9.241 * [backup-simplify]: Simplify 0 into 0
9.241 * [backup-simplify]: Simplify 1 into 1
9.241 * [backup-simplify]: Simplify (* 1 1) into 1
9.241 * [backup-simplify]: Simplify (* 1 1) into 1
9.242 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0
9.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.244 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.246 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.246 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0
9.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.248 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.248 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.248 * [backup-simplify]: Simplify 0 into 0
9.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.249 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.249 * [backup-simplify]: Simplify 0 into 0
9.249 * [backup-simplify]: Simplify 0 into 0
9.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.251 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
9.251 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
9.251 * [backup-simplify]: Simplify (+ 0 0) into 0
9.252 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
9.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.253 * [backup-simplify]: Simplify (- 0) into 0
9.253 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
9.254 * [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)))))
9.254 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4))))) in im
9.254 * [taylor]: Taking taylor expansion of +nan.0 in im
9.254 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.254 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))) in im
9.254 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 6))) in im
9.254 * [taylor]: Taking taylor expansion of +nan.0 in im
9.254 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.254 * [taylor]: Taking taylor expansion of (/ 1 (pow im 6)) in im
9.254 * [taylor]: Taking taylor expansion of (pow im 6) in im
9.254 * [taylor]: Taking taylor expansion of im in im
9.254 * [backup-simplify]: Simplify 0 into 0
9.254 * [backup-simplify]: Simplify 1 into 1
9.254 * [backup-simplify]: Simplify (* 1 1) into 1
9.254 * [backup-simplify]: Simplify (* 1 1) into 1
9.255 * [backup-simplify]: Simplify (* 1 1) into 1
9.255 * [backup-simplify]: Simplify (/ 1 1) into 1
9.255 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow im 4))) in im
9.255 * [taylor]: Taking taylor expansion of 1/8 in im
9.255 * [backup-simplify]: Simplify 1/8 into 1/8
9.255 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im
9.255 * [taylor]: Taking taylor expansion of (pow im 4) in im
9.255 * [taylor]: Taking taylor expansion of im in im
9.255 * [backup-simplify]: Simplify 0 into 0
9.255 * [backup-simplify]: Simplify 1 into 1
9.255 * [backup-simplify]: Simplify (* 1 1) into 1
9.256 * [backup-simplify]: Simplify (* 1 1) into 1
9.256 * [backup-simplify]: Simplify (/ 1 1) into 1
9.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
9.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
9.260 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
9.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.268 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
9.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.273 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.273 * [backup-simplify]: Simplify (+ 0 0) into 0
9.275 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.276 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 1))) into 0
9.276 * [backup-simplify]: Simplify (+ 0 0) into 0
9.277 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.278 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0
9.279 * [backup-simplify]: Simplify (+ 0 0) into 0
9.280 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0
9.280 * [backup-simplify]: Simplify (* 1/8 1) into 1/8
9.280 * [backup-simplify]: Simplify (+ 0 1/8) into 1/8
9.281 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0
9.282 * [backup-simplify]: Simplify (+ 0 0) into 0
9.282 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
9.282 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
9.284 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/8) (+ (* 0 0) (* 0 (- +nan.0))))))) into 0
9.284 * [backup-simplify]: Simplify 0 into 0
9.284 * [backup-simplify]: Simplify 0 into 0
9.285 * [backup-simplify]: Simplify (sqrt (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) into (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))
9.285 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in (re im) around 0
9.285 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
9.285 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
9.285 * [taylor]: Taking taylor expansion of (/ 1 re) in im
9.285 * [taylor]: Taking taylor expansion of re in im
9.285 * [backup-simplify]: Simplify re into re
9.285 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
9.285 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
9.285 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
9.285 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
9.285 * [taylor]: Taking taylor expansion of (pow re 2) in im
9.285 * [taylor]: Taking taylor expansion of re in im
9.285 * [backup-simplify]: Simplify re into re
9.285 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.286 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
9.286 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.286 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.286 * [taylor]: Taking taylor expansion of im in im
9.286 * [backup-simplify]: Simplify 0 into 0
9.286 * [backup-simplify]: Simplify 1 into 1
9.286 * [backup-simplify]: Simplify (* 1 1) into 1
9.287 * [backup-simplify]: Simplify (/ 1 1) into 1
9.287 * [backup-simplify]: Simplify (+ 0 1) into 1
9.287 * [backup-simplify]: Simplify (sqrt 1) into 1
9.288 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.289 * [backup-simplify]: Simplify (+ 0 0) into 0
9.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.290 * [backup-simplify]: Simplify (+ 0 1) into 1
9.291 * [backup-simplify]: Simplify (sqrt 0) into 0
9.292 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
9.292 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
9.292 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
9.292 * [taylor]: Taking taylor expansion of (/ 1 re) in re
9.292 * [taylor]: Taking taylor expansion of re in re
9.292 * [backup-simplify]: Simplify 0 into 0
9.292 * [backup-simplify]: Simplify 1 into 1
9.293 * [backup-simplify]: Simplify (/ 1 1) into 1
9.293 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
9.293 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
9.293 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.293 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.293 * [taylor]: Taking taylor expansion of re in re
9.293 * [backup-simplify]: Simplify 0 into 0
9.293 * [backup-simplify]: Simplify 1 into 1
9.293 * [backup-simplify]: Simplify (* 1 1) into 1
9.294 * [backup-simplify]: Simplify (/ 1 1) into 1
9.294 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.294 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.294 * [taylor]: Taking taylor expansion of im in re
9.294 * [backup-simplify]: Simplify im into im
9.294 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.294 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.295 * [backup-simplify]: Simplify (+ 1 0) into 1
9.295 * [backup-simplify]: Simplify (sqrt 1) into 1
9.296 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.297 * [backup-simplify]: Simplify (+ 0 0) into 0
9.298 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.298 * [backup-simplify]: Simplify (+ 1 1) into 2
9.298 * [backup-simplify]: Simplify (sqrt 0) into 0
9.300 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
9.300 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
9.300 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
9.300 * [taylor]: Taking taylor expansion of (/ 1 re) in re
9.300 * [taylor]: Taking taylor expansion of re in re
9.300 * [backup-simplify]: Simplify 0 into 0
9.300 * [backup-simplify]: Simplify 1 into 1
9.300 * [backup-simplify]: Simplify (/ 1 1) into 1
9.300 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
9.300 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
9.300 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
9.300 * [taylor]: Taking taylor expansion of (pow re 2) in re
9.300 * [taylor]: Taking taylor expansion of re in re
9.300 * [backup-simplify]: Simplify 0 into 0
9.300 * [backup-simplify]: Simplify 1 into 1
9.301 * [backup-simplify]: Simplify (* 1 1) into 1
9.301 * [backup-simplify]: Simplify (/ 1 1) into 1
9.301 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
9.301 * [taylor]: Taking taylor expansion of (pow im 2) in re
9.301 * [taylor]: Taking taylor expansion of im in re
9.301 * [backup-simplify]: Simplify im into im
9.301 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.302 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
9.302 * [backup-simplify]: Simplify (+ 1 0) into 1
9.302 * [backup-simplify]: Simplify (sqrt 1) into 1
9.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.304 * [backup-simplify]: Simplify (+ 0 0) into 0
9.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.305 * [backup-simplify]: Simplify (+ 1 1) into 2
9.306 * [backup-simplify]: Simplify (sqrt 0) into 0
9.306 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
9.307 * [taylor]: Taking taylor expansion of 0 in im
9.307 * [backup-simplify]: Simplify 0 into 0
9.307 * [taylor]: Taking taylor expansion of +nan.0 in im
9.307 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.307 * [backup-simplify]: Simplify 0 into 0
9.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.307 * [backup-simplify]: Simplify (+ 0 0) into 0
9.309 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
9.309 * [taylor]: Taking taylor expansion of +nan.0 in im
9.309 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.309 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.309 * [backup-simplify]: Simplify 0 into 0
9.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.311 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
9.312 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.312 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
9.313 * [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))
9.313 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im
9.313 * [taylor]: Taking taylor expansion of +nan.0 in im
9.313 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.313 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im
9.313 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
9.313 * [taylor]: Taking taylor expansion of 1/2 in im
9.313 * [backup-simplify]: Simplify 1/2 into 1/2
9.313 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.313 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.313 * [taylor]: Taking taylor expansion of im in im
9.313 * [backup-simplify]: Simplify 0 into 0
9.313 * [backup-simplify]: Simplify 1 into 1
9.313 * [backup-simplify]: Simplify (* 1 1) into 1
9.314 * [backup-simplify]: Simplify (/ 1 1) into 1
9.314 * [taylor]: Taking taylor expansion of +nan.0 in im
9.314 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.315 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
9.315 * [backup-simplify]: Simplify (+ 0 0) into 0
9.316 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
9.316 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
9.316 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0
9.316 * [backup-simplify]: Simplify 0 into 0
9.316 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.316 * [backup-simplify]: Simplify 0 into 0
9.316 * [backup-simplify]: Simplify 0 into 0
9.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.318 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.318 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
9.319 * [backup-simplify]: Simplify (+ 0 0) into 0
9.319 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
9.319 * [backup-simplify]: Simplify (+ 0 0) into 0
9.320 * [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)))
9.320 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im
9.320 * [taylor]: Taking taylor expansion of +nan.0 in im
9.320 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.320 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im
9.320 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im
9.320 * [taylor]: Taking taylor expansion of +nan.0 in im
9.320 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.320 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.320 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.320 * [taylor]: Taking taylor expansion of im in im
9.320 * [backup-simplify]: Simplify 0 into 0
9.320 * [backup-simplify]: Simplify 1 into 1
9.320 * [backup-simplify]: Simplify (* 1 1) into 1
9.321 * [backup-simplify]: Simplify (/ 1 1) into 1
9.321 * [taylor]: Taking taylor expansion of (- +nan.0) in im
9.321 * [taylor]: Taking taylor expansion of +nan.0 in im
9.321 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.322 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0
9.322 * [backup-simplify]: Simplify (+ 0 0) into 0
9.323 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
9.323 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
9.323 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0
9.323 * [backup-simplify]: Simplify 0 into 0
9.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.325 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
9.325 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
9.326 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
9.327 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0)
9.327 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
9.328 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 (- re))) 2)) (+ (* +nan.0 (* 1 (/ 1 (- re)))) +nan.0)) into (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0)))))
9.328 * * * [progress]: simplifying candidates
9.331 * [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)))
  (- re)
  (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))
  (+ (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (- re)
  (- (log (sqrt 2.0)) (log (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (log (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (exp (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (* (cbrt (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (cbrt (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (* (* (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ 2.0 (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (- (sqrt 2.0))
  (- (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (cbrt (sqrt 2.0)) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (cbrt (sqrt 2.0)) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (cbrt (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt 1))
  (/ (cbrt (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (cbrt (sqrt 2.0)) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (cbrt (sqrt 2.0)) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt 1))
  (/ (cbrt (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (cbrt (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1)
  (/ (cbrt (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (cbrt 2.0)) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (cbrt 2.0)) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (cbrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt 1))
  (/ (sqrt (cbrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (cbrt 2.0)) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (cbrt 2.0)) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
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  (/ (sqrt (cbrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (cbrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1)
  (/ (sqrt (cbrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (sqrt 2.0)) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
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  (/ (sqrt (sqrt 2.0)) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
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  (/ (sqrt (sqrt 2.0)) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (sqrt 2.0)) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (sqrt 2.0)) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (sqrt 2.0)) (sqrt 1))
  (/ (sqrt (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt 2.0)) 1)
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  (/ (sqrt 1) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))
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  (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt 1) 1)
  (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (sqrt 2.0)) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (sqrt 2.0)) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt 2.0)) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (sqrt 2.0)) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt 2.0)) (sqrt 1))
  (/ (sqrt (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
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  (/ (sqrt (sqrt 2.0)) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (sqrt 2.0)) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (sqrt 2.0)) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (sqrt 2.0)) (sqrt 1))
  (/ (sqrt (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt 2.0)) 1)
  (/ (sqrt (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt 2.0) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ 1 (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt 2.0) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ 1 (sqrt 1))
  (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
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  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt 2.0))
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  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt 2.0))
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt 2.0)))
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt 2.0))
  (/ (sqrt 2.0) (sqrt (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))
  (/ (sqrt 2.0) (sqrt (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))))
  (log (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (exp (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (* (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re)))
  (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (sqrt 1)
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (sqrt 1)
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (- (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 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (/ 1 2)
  (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  im
  re
  (* -1 re)
  (- im re)
  0
  (* -2 re)
  (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow re 2)) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) im)))))))
  (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))
  (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 3))) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
  (- (+ (* +nan.0 (pow im 2)) (- (+ (* +nan.0 (* re im)) (- (* +nan.0 im))))))
  0
  (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0)))))
9.334 * * [simplify]: iteration 0: 212 enodes
9.382 * * [simplify]: iteration 1: 439 enodes
9.595 * * [simplify]: iteration 2: 1834 enodes
10.062 * * [simplify]: iteration complete: 5001 enodes
10.062 * * [simplify]: Extracting #0: cost 111 inf + 0
10.064 * * [simplify]: Extracting #1: cost 376 inf + 46
10.069 * * [simplify]: Extracting #2: cost 1200 inf + 2961
10.089 * * [simplify]: Extracting #3: cost 1568 inf + 37698
10.153 * * [simplify]: Extracting #4: cost 699 inf + 161447
10.227 * * [simplify]: Extracting #5: cost 95 inf + 287400
10.305 * * [simplify]: Extracting #6: cost 35 inf + 307190
10.390 * * [simplify]: Extracting #7: cost 6 inf + 311591
10.448 * * [simplify]: Extracting #8: cost 0 inf + 313349
10.504 * [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) (* re re)) (* im im)) (* (* re re) (* re re))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (* (+ re im) (- re im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (exp (- (sqrt (+ (* re re) (* im im))) 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))
  (- (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (* re (* re re)))
  (+ (+ (+ (* re re) (* im im)) (* re re)) (* (sqrt (+ (* re re) (* im im))) re))
  (- re)
  (+ (* im im) 0)
  (+ (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im)))))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im)))))
  (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (- re)
  (log (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (log (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (exp (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (* (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ 2.0 (- (sqrt (+ (* re re) (* im im))) re)))
  (* (cbrt (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (cbrt (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (* (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ 2.0 (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 2.0 (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (- (sqrt 2.0))
  (- (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (* (/ (cbrt (sqrt 2.0)) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (sqrt 2.0)) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (cbrt (sqrt 2.0)) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (* (/ (cbrt (sqrt 2.0)) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt 2.0)))
  (/ (cbrt (sqrt 2.0)) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (cbrt (sqrt 2.0)) (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt 2.0))))
  (/ (cbrt (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))
  (/ (cbrt (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (cbrt (sqrt 2.0)) (/ (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt 2.0))))
  (/ (cbrt (sqrt 2.0)) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (cbrt (sqrt 2.0)) (/ (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt 2.0))))
  (/ (cbrt (sqrt 2.0)) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))
  (/ (cbrt (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (cbrt (sqrt 2.0)) (/ (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt 2.0))))
  (/ (cbrt (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))
  (/ (cbrt (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (/ (fabs (cbrt 2.0)) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (cbrt 2.0)) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (fabs (cbrt 2.0)) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (cbrt 2.0)) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (fabs (cbrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (cbrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (fabs (cbrt 2.0))
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  (/ (fabs (cbrt 2.0)) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im)))))))
  (/ (sqrt (cbrt 2.0)) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
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  (/ (sqrt (cbrt 2.0)) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
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  (/ (fabs (cbrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (cbrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (fabs (cbrt 2.0))
  (/ (sqrt (cbrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (sqrt 2.0)) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (sqrt 2.0)) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt 2.0)) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt 2.0)) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (sqrt 2.0))
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  (/ (sqrt (sqrt 2.0)) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im)))))))
  (/ (sqrt (sqrt 2.0)) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (sqrt 2.0)) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im)))))))
  (/ (sqrt (sqrt 2.0)) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
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  (/ (sqrt (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (sqrt 2.0))
  (/ (sqrt (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt 2.0) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ 1 (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt 2.0) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  1
  (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im)))))))
  (/ (sqrt 2.0) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ 1 (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im)))))))
  (/ (sqrt 2.0) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  1
  (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  1
  (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (sqrt 2.0)) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt (sqrt 2.0)) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt 2.0)) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt 2.0)) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (sqrt 2.0))
  (/ (sqrt (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (sqrt 2.0)) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im)))))))
  (/ (sqrt (sqrt 2.0)) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ (sqrt (sqrt 2.0)) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im)))))))
  (/ (sqrt (sqrt 2.0)) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (sqrt (sqrt 2.0))
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  (/ (sqrt (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (sqrt 2.0))
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  (/ 1 (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
  (/ (sqrt 2.0) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ 1 (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt 2.0) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  1
  (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im)))))))
  (/ (sqrt 2.0) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  (/ 1 (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im)))))))
  (/ (sqrt 2.0) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))
  1
  (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  1
  (/ (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ 1 (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt 2.0))
  (/ (/ (sqrt 2.0) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt 2.0) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))))
  (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt 2.0)
  (/ (sqrt 2.0) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im)))))))
  (/ (sqrt 2.0) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im)))))))
  (sqrt 2.0)
  (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (sqrt 2.0)
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (sqrt 2.0)))
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (cbrt 2.0)))
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt 2.0)))
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt 2.0))
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt 2.0)))
  (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt 2.0))
  (/ (sqrt 2.0) (sqrt (- (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (* re (* re re)))))
  (/ (sqrt 2.0) (sqrt (+ (* im im) 0)))
  (log (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (exp (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
  (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (* (- (sqrt (+ (* re re) (* im im))) re) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))
  (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re)))
  (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  1
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))))
  (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))))
  (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
  1
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (sqrt (- (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (* re (* re re))))
  (sqrt (+ (+ (+ (* re re) (* im im)) (* re re)) (* (sqrt (+ (* re re) (* im im))) re)))
  (sqrt (+ (* im im) 0))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  1/2
  (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))
  im
  re
  (- re)
  (- im re)
  0
  (* re -2)
  (* +nan.0 (+ (- (/ (* re re) (/ im (sqrt 2.0))) (* (/ (sqrt 2.0) im) re)) (- (sqrt 2.0))))
  (* +nan.0 (- (- (/ (sqrt 2.0) (* im im)) (/ (sqrt 2.0) (* re re)))))
  (* +nan.0 (+ (- (/ (sqrt 2.0) re)) (- (/ (/ (sqrt 2.0) (* re re)) re) (/ (sqrt 2.0) (* re re)))))
  (+ (* +nan.0 (- (* re im) im)) (* +nan.0 (- (* im im))))
  0
  (+ (- (/ +nan.0 (* re re)) +nan.0) (/ (- +nan.0) re))
10.529 * * * [progress]: adding candidates to table
11.289 * [progress]: [Phase 3 of 3] Extracting.
11.290 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (* 0.5 (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re)) 2.0))))> #<alt (λ (re im) (* 0.5 (* (fabs im) (/ (sqrt 2.0) (* (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))))> #<alt (λ (re im) (* 0.5 (* (fabs im) (/ (sqrt 2.0) (sqrt (* -2 re))))))> #<alt (λ (re im) (* 0.5 (* (fabs im) (sqrt (/ 2.0 (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (* (fabs im) (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (/ (cbrt (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* (+ (* im im) 0) 2.0)) (sqrt (* -2 re)))))> #<alt (λ (re im) (* 0.5 (* (fabs im) (/ (sqrt 2.0) (sqrt (- im re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))>)
11.293 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re)
11.293 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re)) 2.0))))> #<alt (λ (re im) (* 0.5 (* (fabs im) (/ (sqrt 2.0) (* (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))))> #<alt (λ (re im) (* 0.5 (* (fabs im) (/ (sqrt 2.0) (sqrt (* -2 re))))))> #<alt (λ (re im) (* 0.5 (* (fabs im) (sqrt (/ 2.0 (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (* (fabs im) (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (/ (cbrt (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* (+ (* im im) 0) 2.0)) (sqrt (* -2 re)))))> #<alt (λ (re im) (* 0.5 (* (fabs im) (/ (sqrt 2.0) (sqrt (- im re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))>)
11.403 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (sqrt (* (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* (+ (* im im) 0) 2.0)) (sqrt (* -2 re)))))>)
11.485 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (* 0.5 (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re)) 2.0))))> #<alt (λ (re im) (* 0.5 (* (fabs im) (/ (sqrt 2.0) (* (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))))> #<alt (λ (re im) (* 0.5 (* (fabs im) (/ (sqrt 2.0) (sqrt (* -2 re))))))> #<alt (λ (re im) (* 0.5 (* (fabs im) (sqrt (/ 2.0 (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (* (fabs im) (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (/ (cbrt (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* (+ (* im im) 0) 2.0)) (sqrt (* -2 re)))))> #<alt (λ (re im) (* 0.5 (* (fabs im) (/ (sqrt 2.0) (sqrt (- im re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))>)
11.657 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (* 0.5 (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re)) 2.0))))> #<alt (λ (re im) (* 0.5 (* (fabs im) (/ (sqrt 2.0) (* (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))))> #<alt (λ (re im) (* 0.5 (* (fabs im) (/ (sqrt 2.0) (sqrt (* -2 re))))))> #<alt (λ (re im) (* 0.5 (* (fabs im) (sqrt (/ 2.0 (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (* (fabs im) (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (/ (cbrt (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* (+ (* im im) 0) 2.0)) (sqrt (* -2 re)))))> #<alt (λ (re im) (* 0.5 (* (fabs im) (/ (sqrt 2.0) (sqrt (- im re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))>)
11.815 * * * [regime]: Found split indices: #<option (#s(si 3 29) #s(si 4 169) #s(si 6 255))>
11.815 * [binary-search]: Improving bounds with binary search for re and (#<alt (λ (re im) (* 0.5 (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re)) 2.0))))> #<alt (λ (re im) (* 0.5 (* (fabs im) (/ (sqrt 2.0) (* (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))))> #<alt (λ (re im) (* 0.5 (* (fabs im) (/ (sqrt 2.0) (sqrt (* -2 re))))))> #<alt (λ (re im) (* 0.5 (* (fabs im) (sqrt (/ 2.0 (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (* (fabs im) (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (/ (cbrt (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* (+ (* im im) 0) 2.0)) (sqrt (* -2 re)))))> #<alt (λ (re im) (* 0.5 (* (fabs im) (/ (sqrt 2.0) (sqrt (- im re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))>)
11.931 * [regimes]: Found splitpoints: (#s(sp 3 re -6.052527015178278e+150) #s(sp 4 re 1.8596451860584477e-128) #s(sp 6 re +nan.0)) , with alts (#<alt (λ (re im) (* 0.5 (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re)) 2.0))))> #<alt (λ (re im) (* 0.5 (* (fabs im) (/ (sqrt 2.0) (* (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))))> #<alt (λ (re im) (* 0.5 (* (fabs im) (/ (sqrt 2.0) (sqrt (* -2 re))))))> #<alt (λ (re im) (* 0.5 (* (fabs im) (sqrt (/ 2.0 (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (* (fabs im) (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (/ (cbrt (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* (+ (* im im) 0) 2.0)) (sqrt (* -2 re)))))> #<alt (λ (re im) (* 0.5 (* (fabs im) (/ (sqrt 2.0) (sqrt (- im re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))>)
11.931 * [simplify]: Simplifying:
  (if (<= re -6.052527015178278e+150) (* 0.5 (* (fabs im) (/ (sqrt 2.0) (sqrt (* -2 re))))) (if (<= re 1.8596451860584477e-128) (* 0.5 (* (fabs im) (sqrt (/ 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (* 0.5 (sqrt (* 2.0 (+ re re))))))
11.931 * * [simplify]: iteration 0: 31 enodes
11.933 * * [simplify]: iteration 1: 39 enodes
11.934 * * [simplify]: iteration complete: 39 enodes
11.934 * * [simplify]: Extracting #0: cost 1 inf + 0
11.934 * * [simplify]: Extracting #1: cost 4 inf + 0
11.934 * * [simplify]: Extracting #2: cost 11 inf + 0
11.935 * * [simplify]: Extracting #3: cost 13 inf + 3
11.935 * * [simplify]: Extracting #4: cost 15 inf + 138
11.935 * * [simplify]: Extracting #5: cost 17 inf + 180
11.935 * * [simplify]: Extracting #6: cost 16 inf + 263
11.935 * * [simplify]: Extracting #7: cost 14 inf + 388
11.935 * * [simplify]: Extracting #8: cost 9 inf + 1447
11.935 * * [simplify]: Extracting #9: cost 11 inf + 1447
11.936 * * [simplify]: Extracting #10: cost 9 inf + 1529
11.936 * * [simplify]: Extracting #11: cost 8 inf + 1651
11.936 * * [simplify]: Extracting #12: cost 6 inf + 2015
11.936 * * [simplify]: Extracting #13: cost 5 inf + 2258
11.937 * * [simplify]: Extracting #14: cost 4 inf + 2541
11.937 * * [simplify]: Extracting #15: cost 2 inf + 3308
11.938 * * [simplify]: Extracting #16: cost 1 inf + 4003
11.938 * * [simplify]: Extracting #17: cost 0 inf + 5070
11.939 * [simplify]: Simplified to:
  (if (<= re -6.052527015178278e+150) (* (* (fabs im) (/ (sqrt 2.0) (sqrt (* re -2)))) 0.5) (if (<= re 1.8596451860584477e-128) (* 0.5 (* (sqrt (/ 2.0 (- (sqrt (+ (* im im) (* re re))) re))) (fabs im))) (* 0.5 (sqrt (* 2.0 (+ re re))))))
15.512 * [regime-testing]: Baseline error score: 37.098142314787154
15.521 * [regime-testing]: Oracle error score: 7.586783264136483
15.539 * [regime-testing]: End program error score: 20.413523203749847
15.733 * [regime-testing]: Target error score: 33.227246173184156