56.188 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.059 * * * [progress]: [2/2] Setting up program.
0.068 * [progress]: [Phase 2 of 3] Improving.
0.069 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
0.069 * * [simplify]: iteration 0: 12 enodes
0.074 * * [simplify]: iteration 1: 24 enodes
0.085 * * [simplify]: iteration 2: 29 enodes
0.094 * * [simplify]: iteration 3: 31 enodes
0.105 * * [simplify]: iteration complete: 31 enodes
0.105 * * [simplify]: Extracting #0: cost 1 inf + 0
0.105 * * [simplify]: Extracting #1: cost 3 inf + 0
0.105 * * [simplify]: Extracting #2: cost 3 inf + 1
0.105 * * [simplify]: Extracting #3: cost 9 inf + 1
0.105 * * [simplify]: Extracting #4: cost 9 inf + 3
0.106 * * [simplify]: Extracting #5: cost 3 inf + 833
0.106 * * [simplify]: Extracting #6: cost 1 inf + 915
0.106 * * [simplify]: Extracting #7: cost 0 inf + 1012
0.107 * [simplify]: Simplified to:
  (* 0.5 (sqrt (* (+ re (hypot re im)) 2.0)))
0.119 * * [progress]: iteration 1 / 4
0.119 * * * [progress]: picking best candidate
0.128 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (hypot re im)) 2.0))))>
0.128 * * * [progress]: localizing error
0.187 * * * [progress]: generating rewritten candidates
0.187 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1)
0.199 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 1 2)
0.200 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2)
0.217 * * * [progress]: generating series expansions
0.217 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 1)
0.218 * [backup-simplify]: Simplify (+ re (hypot re im)) into (+ re (hypot re im))
0.218 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0
0.218 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im
0.218 * [taylor]: Taking taylor expansion of re in im
0.218 * [backup-simplify]: Simplify re into re
0.218 * [taylor]: Taking taylor expansion of (hypot re im) in im
0.218 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.218 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
0.218 * [taylor]: Taking taylor expansion of (* re re) in im
0.218 * [taylor]: Taking taylor expansion of re in im
0.218 * [backup-simplify]: Simplify re into re
0.218 * [taylor]: Taking taylor expansion of re in im
0.218 * [backup-simplify]: Simplify re into re
0.218 * [taylor]: Taking taylor expansion of (* im im) in im
0.218 * [taylor]: Taking taylor expansion of im in im
0.218 * [backup-simplify]: Simplify 0 into 0
0.218 * [backup-simplify]: Simplify 1 into 1
0.218 * [taylor]: Taking taylor expansion of im in im
0.218 * [backup-simplify]: Simplify 0 into 0
0.218 * [backup-simplify]: Simplify 1 into 1
0.218 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.219 * [backup-simplify]: Simplify (* 0 0) into 0
0.220 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.220 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.220 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.222 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.223 * [backup-simplify]: Simplify (+ 0 0) into 0
0.223 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.223 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
0.223 * [taylor]: Taking taylor expansion of re in re
0.223 * [backup-simplify]: Simplify 0 into 0
0.223 * [backup-simplify]: Simplify 1 into 1
0.223 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.224 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.224 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.224 * [taylor]: Taking taylor expansion of (* re re) in re
0.224 * [taylor]: Taking taylor expansion of re in re
0.224 * [backup-simplify]: Simplify 0 into 0
0.224 * [backup-simplify]: Simplify 1 into 1
0.224 * [taylor]: Taking taylor expansion of re in re
0.224 * [backup-simplify]: Simplify 0 into 0
0.224 * [backup-simplify]: Simplify 1 into 1
0.224 * [taylor]: Taking taylor expansion of (* im im) in re
0.224 * [taylor]: Taking taylor expansion of im in re
0.224 * [backup-simplify]: Simplify im into im
0.224 * [taylor]: Taking taylor expansion of im in re
0.224 * [backup-simplify]: Simplify im into im
0.225 * [backup-simplify]: Simplify (* 0 0) into 0
0.225 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.225 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.225 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.226 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.226 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.227 * [backup-simplify]: Simplify (+ 0 0) into 0
0.227 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.227 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
0.227 * [taylor]: Taking taylor expansion of re in re
0.227 * [backup-simplify]: Simplify 0 into 0
0.227 * [backup-simplify]: Simplify 1 into 1
0.227 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.227 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.227 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.227 * [taylor]: Taking taylor expansion of (* re re) in re
0.227 * [taylor]: Taking taylor expansion of re in re
0.227 * [backup-simplify]: Simplify 0 into 0
0.227 * [backup-simplify]: Simplify 1 into 1
0.227 * [taylor]: Taking taylor expansion of re in re
0.227 * [backup-simplify]: Simplify 0 into 0
0.227 * [backup-simplify]: Simplify 1 into 1
0.227 * [taylor]: Taking taylor expansion of (* im im) in re
0.227 * [taylor]: Taking taylor expansion of im in re
0.227 * [backup-simplify]: Simplify im into im
0.227 * [taylor]: Taking taylor expansion of im in re
0.227 * [backup-simplify]: Simplify im into im
0.228 * [backup-simplify]: Simplify (* 0 0) into 0
0.228 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.228 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.228 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.229 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.229 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.230 * [backup-simplify]: Simplify (+ 0 0) into 0
0.230 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.230 * [backup-simplify]: Simplify (+ 0 im) into im
0.230 * [taylor]: Taking taylor expansion of im in im
0.230 * [backup-simplify]: Simplify 0 into 0
0.230 * [backup-simplify]: Simplify 1 into 1
0.230 * [backup-simplify]: Simplify 0 into 0
0.231 * [backup-simplify]: Simplify (+ 1 0) into 1
0.231 * [taylor]: Taking taylor expansion of 1 in im
0.231 * [backup-simplify]: Simplify 1 into 1
0.231 * [backup-simplify]: Simplify 1 into 1
0.231 * [backup-simplify]: Simplify 1 into 1
0.232 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.232 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.232 * [backup-simplify]: Simplify (+ 1 0) into 1
0.233 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.233 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.233 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
0.233 * [taylor]: Taking taylor expansion of 1/2 in im
0.233 * [backup-simplify]: Simplify 1/2 into 1/2
0.233 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.233 * [taylor]: Taking taylor expansion of im in im
0.233 * [backup-simplify]: Simplify 0 into 0
0.234 * [backup-simplify]: Simplify 1 into 1
0.234 * [backup-simplify]: Simplify (/ 1 1) into 1
0.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.235 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.235 * [backup-simplify]: Simplify 0 into 0
0.235 * [backup-simplify]: Simplify 0 into 0
0.235 * [backup-simplify]: Simplify 0 into 0
0.237 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
0.237 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.238 * [backup-simplify]: Simplify (+ 0 0) into 0
0.238 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.238 * [backup-simplify]: Simplify (+ 0 0) into 0
0.238 * [taylor]: Taking taylor expansion of 0 in im
0.238 * [backup-simplify]: Simplify 0 into 0
0.238 * [backup-simplify]: Simplify 0 into 0
0.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.240 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.240 * [backup-simplify]: Simplify 0 into 0
0.240 * [backup-simplify]: Simplify 0 into 0
0.241 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
0.241 * [backup-simplify]: Simplify (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) into (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))
0.241 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0
0.241 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
0.241 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
0.241 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.241 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
0.241 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
0.241 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.241 * [taylor]: Taking taylor expansion of re in im
0.241 * [backup-simplify]: Simplify re into re
0.241 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.241 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.241 * [taylor]: Taking taylor expansion of re in im
0.241 * [backup-simplify]: Simplify re into re
0.241 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.241 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
0.241 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.241 * [taylor]: Taking taylor expansion of im in im
0.241 * [backup-simplify]: Simplify 0 into 0
0.242 * [backup-simplify]: Simplify 1 into 1
0.242 * [backup-simplify]: Simplify (/ 1 1) into 1
0.242 * [taylor]: Taking taylor expansion of (/ 1 im) 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 1)))) into 0
0.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.246 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.246 * [backup-simplify]: Simplify (+ 0 0) into 0
0.247 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.247 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.247 * [taylor]: Taking taylor expansion of re in im
0.247 * [backup-simplify]: Simplify re into re
0.247 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.247 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
0.247 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.247 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.247 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.247 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.247 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.247 * [taylor]: Taking taylor expansion of re in re
0.247 * [backup-simplify]: Simplify 0 into 0
0.247 * [backup-simplify]: Simplify 1 into 1
0.248 * [backup-simplify]: Simplify (/ 1 1) into 1
0.248 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.248 * [taylor]: Taking taylor expansion of re in re
0.248 * [backup-simplify]: Simplify 0 into 0
0.248 * [backup-simplify]: Simplify 1 into 1
0.248 * [backup-simplify]: Simplify (/ 1 1) into 1
0.248 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.248 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.248 * [taylor]: Taking taylor expansion of im in re
0.248 * [backup-simplify]: Simplify im into im
0.248 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.248 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.248 * [taylor]: Taking taylor expansion of im in re
0.248 * [backup-simplify]: Simplify im into im
0.248 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.249 * [backup-simplify]: Simplify (* 1 1) into 1
0.250 * [backup-simplify]: Simplify (+ 1 0) into 1
0.250 * [backup-simplify]: Simplify (sqrt 1) into 1
0.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.252 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.253 * [backup-simplify]: Simplify (+ 0 0) into 0
0.253 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.253 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.253 * [taylor]: Taking taylor expansion of re in re
0.253 * [backup-simplify]: Simplify 0 into 0
0.253 * [backup-simplify]: Simplify 1 into 1
0.254 * [backup-simplify]: Simplify (/ 1 1) into 1
0.254 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
0.254 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.254 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.254 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.254 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.254 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.254 * [taylor]: Taking taylor expansion of re in re
0.254 * [backup-simplify]: Simplify 0 into 0
0.254 * [backup-simplify]: Simplify 1 into 1
0.255 * [backup-simplify]: Simplify (/ 1 1) into 1
0.255 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.255 * [taylor]: Taking taylor expansion of re in re
0.255 * [backup-simplify]: Simplify 0 into 0
0.255 * [backup-simplify]: Simplify 1 into 1
0.255 * [backup-simplify]: Simplify (/ 1 1) into 1
0.255 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.255 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.255 * [taylor]: Taking taylor expansion of im in re
0.255 * [backup-simplify]: Simplify im into im
0.255 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.255 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.255 * [taylor]: Taking taylor expansion of im in re
0.255 * [backup-simplify]: Simplify im into im
0.255 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.256 * [backup-simplify]: Simplify (* 1 1) into 1
0.256 * [backup-simplify]: Simplify (+ 1 0) into 1
0.257 * [backup-simplify]: Simplify (sqrt 1) into 1
0.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.259 * [backup-simplify]: Simplify (+ 0 0) into 0
0.260 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.260 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.260 * [taylor]: Taking taylor expansion of re in re
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
0.261 * [backup-simplify]: Simplify (+ 1 1) into 2
0.261 * [taylor]: Taking taylor expansion of 2 in im
0.261 * [backup-simplify]: Simplify 2 into 2
0.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.262 * [backup-simplify]: Simplify (+ 0 0) into 0
0.262 * [taylor]: Taking taylor expansion of 0 in im
0.262 * [backup-simplify]: Simplify 0 into 0
0.262 * [backup-simplify]: Simplify 2 into 2
0.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.265 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
0.265 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.267 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.268 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.268 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.268 * [taylor]: Taking taylor expansion of 1/2 in im
0.268 * [backup-simplify]: Simplify 1/2 into 1/2
0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.268 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.268 * [taylor]: Taking taylor expansion of im in im
0.268 * [backup-simplify]: Simplify 0 into 0
0.268 * [backup-simplify]: Simplify 1 into 1
0.269 * [backup-simplify]: Simplify (* 1 1) into 1
0.269 * [backup-simplify]: Simplify (/ 1 1) into 1
0.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.271 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.271 * [backup-simplify]: Simplify 0 into 0
0.271 * [backup-simplify]: Simplify 0 into 0
0.271 * [backup-simplify]: Simplify 0 into 0
0.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.275 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.275 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.275 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
0.275 * [backup-simplify]: Simplify (+ 0 0) into 0
0.276 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.277 * [backup-simplify]: Simplify (+ 0 0) into 0
0.277 * [taylor]: Taking taylor expansion of 0 in im
0.277 * [backup-simplify]: Simplify 0 into 0
0.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.280 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.280 * [backup-simplify]: Simplify 0 into 0
0.280 * [backup-simplify]: Simplify 0 into 0
0.281 * [backup-simplify]: Simplify 0 into 0
0.281 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
0.281 * [backup-simplify]: Simplify (+ (/ 1 (- re)) (hypot (/ 1 (- re)) (/ 1 (- im)))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
0.281 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
0.281 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
0.281 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
0.281 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.281 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
0.281 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
0.281 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.281 * [taylor]: Taking taylor expansion of -1 in im
0.281 * [backup-simplify]: Simplify -1 into -1
0.281 * [taylor]: Taking taylor expansion of re in im
0.281 * [backup-simplify]: Simplify re into re
0.281 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.281 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.281 * [taylor]: Taking taylor expansion of -1 in im
0.282 * [backup-simplify]: Simplify -1 into -1
0.282 * [taylor]: Taking taylor expansion of re in im
0.282 * [backup-simplify]: Simplify re into re
0.282 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.282 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
0.282 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.282 * [taylor]: Taking taylor expansion of -1 in im
0.282 * [backup-simplify]: Simplify -1 into -1
0.282 * [taylor]: Taking taylor expansion of im in im
0.282 * [backup-simplify]: Simplify 0 into 0
0.282 * [backup-simplify]: Simplify 1 into 1
0.283 * [backup-simplify]: Simplify (/ -1 1) into -1
0.283 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.283 * [taylor]: Taking taylor expansion of -1 in im
0.283 * [backup-simplify]: Simplify -1 into -1
0.283 * [taylor]: Taking taylor expansion of im in im
0.283 * [backup-simplify]: Simplify 0 into 0
0.283 * [backup-simplify]: Simplify 1 into 1
0.284 * [backup-simplify]: Simplify (/ -1 1) into -1
0.284 * [backup-simplify]: Simplify (* -1 -1) into 1
0.285 * [backup-simplify]: Simplify (+ 0 1) into 1
0.285 * [backup-simplify]: Simplify (sqrt 1) into 1
0.287 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.288 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.289 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.290 * [backup-simplify]: Simplify (+ 0 0) into 0
0.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.291 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.291 * [taylor]: Taking taylor expansion of re in im
0.291 * [backup-simplify]: Simplify re into re
0.291 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.291 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
0.291 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.291 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.291 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.291 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.291 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.291 * [taylor]: Taking taylor expansion of -1 in re
0.291 * [backup-simplify]: Simplify -1 into -1
0.291 * [taylor]: Taking taylor expansion of re in re
0.291 * [backup-simplify]: Simplify 0 into 0
0.291 * [backup-simplify]: Simplify 1 into 1
0.292 * [backup-simplify]: Simplify (/ -1 1) into -1
0.292 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.292 * [taylor]: Taking taylor expansion of -1 in re
0.292 * [backup-simplify]: Simplify -1 into -1
0.292 * [taylor]: Taking taylor expansion of re in re
0.292 * [backup-simplify]: Simplify 0 into 0
0.292 * [backup-simplify]: Simplify 1 into 1
0.293 * [backup-simplify]: Simplify (/ -1 1) into -1
0.293 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.293 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.293 * [taylor]: Taking taylor expansion of -1 in re
0.293 * [backup-simplify]: Simplify -1 into -1
0.293 * [taylor]: Taking taylor expansion of im in re
0.293 * [backup-simplify]: Simplify im into im
0.293 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.293 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.293 * [taylor]: Taking taylor expansion of -1 in re
0.293 * [backup-simplify]: Simplify -1 into -1
0.293 * [taylor]: Taking taylor expansion of im in re
0.293 * [backup-simplify]: Simplify im into im
0.293 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.294 * [backup-simplify]: Simplify (* -1 -1) into 1
0.294 * [backup-simplify]: Simplify (+ 1 0) into 1
0.295 * [backup-simplify]: Simplify (sqrt 1) into 1
0.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.298 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.298 * [backup-simplify]: Simplify (+ 0 0) into 0
0.299 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.299 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.299 * [taylor]: Taking taylor expansion of re in re
0.299 * [backup-simplify]: Simplify 0 into 0
0.299 * [backup-simplify]: Simplify 1 into 1
0.300 * [backup-simplify]: Simplify (/ 1 1) into 1
0.301 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
0.301 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.301 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.301 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.301 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.301 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.301 * [taylor]: Taking taylor expansion of -1 in re
0.301 * [backup-simplify]: Simplify -1 into -1
0.301 * [taylor]: Taking taylor expansion of re in re
0.301 * [backup-simplify]: Simplify 0 into 0
0.301 * [backup-simplify]: Simplify 1 into 1
0.302 * [backup-simplify]: Simplify (/ -1 1) into -1
0.302 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.302 * [taylor]: Taking taylor expansion of -1 in re
0.302 * [backup-simplify]: Simplify -1 into -1
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
0.303 * [backup-simplify]: Simplify (/ -1 1) into -1
0.303 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.303 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.303 * [taylor]: Taking taylor expansion of -1 in re
0.303 * [backup-simplify]: Simplify -1 into -1
0.303 * [taylor]: Taking taylor expansion of im in re
0.303 * [backup-simplify]: Simplify im into im
0.303 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.303 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.303 * [taylor]: Taking taylor expansion of -1 in re
0.303 * [backup-simplify]: Simplify -1 into -1
0.303 * [taylor]: Taking taylor expansion of im in re
0.303 * [backup-simplify]: Simplify im into im
0.303 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.304 * [backup-simplify]: Simplify (* -1 -1) into 1
0.304 * [backup-simplify]: Simplify (+ 1 0) into 1
0.305 * [backup-simplify]: Simplify (sqrt 1) into 1
0.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.308 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.308 * [backup-simplify]: Simplify (+ 0 0) into 0
0.309 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.309 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.309 * [taylor]: Taking taylor expansion of re in re
0.309 * [backup-simplify]: Simplify 0 into 0
0.309 * [backup-simplify]: Simplify 1 into 1
0.310 * [backup-simplify]: Simplify (/ 1 1) into 1
0.310 * [backup-simplify]: Simplify (- 1) into -1
0.311 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.311 * [taylor]: Taking taylor expansion of 0 in im
0.311 * [backup-simplify]: Simplify 0 into 0
0.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.313 * [backup-simplify]: Simplify (- 0) into 0
0.313 * [backup-simplify]: Simplify (+ 0 0) into 0
0.313 * [taylor]: Taking taylor expansion of 0 in im
0.313 * [backup-simplify]: Simplify 0 into 0
0.313 * [backup-simplify]: Simplify 0 into 0
0.314 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.317 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.317 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
0.317 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.319 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.321 * [backup-simplify]: Simplify (- 0) into 0
0.321 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.321 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.322 * [taylor]: Taking taylor expansion of 1/2 in im
0.322 * [backup-simplify]: Simplify 1/2 into 1/2
0.322 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.322 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.322 * [taylor]: Taking taylor expansion of im in im
0.322 * [backup-simplify]: Simplify 0 into 0
0.322 * [backup-simplify]: Simplify 1 into 1
0.323 * [backup-simplify]: Simplify (* 1 1) into 1
0.324 * [backup-simplify]: Simplify (/ 1 1) into 1
0.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.327 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.327 * [backup-simplify]: Simplify 0 into 0
0.327 * [backup-simplify]: Simplify 0 into 0
0.328 * [backup-simplify]: Simplify 0 into 0
0.336 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.338 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.339 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.339 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.339 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
0.340 * [backup-simplify]: Simplify (+ 0 0) into 0
0.341 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.342 * [backup-simplify]: Simplify (- 0) into 0
0.343 * [backup-simplify]: Simplify (+ 0 0) into 0
0.343 * [taylor]: Taking taylor expansion of 0 in im
0.343 * [backup-simplify]: Simplify 0 into 0
0.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.346 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.346 * [backup-simplify]: Simplify 0 into 0
0.347 * [backup-simplify]: Simplify 0 into 0
0.347 * [backup-simplify]: Simplify 0 into 0
0.347 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 1 2)
0.347 * [backup-simplify]: Simplify (hypot re im) into (hypot re im)
0.347 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
0.347 * [taylor]: Taking taylor expansion of (hypot re im) in im
0.347 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.347 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
0.347 * [taylor]: Taking taylor expansion of (* re re) in im
0.347 * [taylor]: Taking taylor expansion of re in im
0.347 * [backup-simplify]: Simplify re into re
0.347 * [taylor]: Taking taylor expansion of re in im
0.347 * [backup-simplify]: Simplify re into re
0.347 * [taylor]: Taking taylor expansion of (* im im) in im
0.347 * [taylor]: Taking taylor expansion of im in im
0.347 * [backup-simplify]: Simplify 0 into 0
0.347 * [backup-simplify]: Simplify 1 into 1
0.347 * [taylor]: Taking taylor expansion of im in im
0.347 * [backup-simplify]: Simplify 0 into 0
0.347 * [backup-simplify]: Simplify 1 into 1
0.348 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.348 * [backup-simplify]: Simplify (* 0 0) into 0
0.349 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.349 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.349 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.350 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.351 * [backup-simplify]: Simplify (+ 0 0) into 0
0.358 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.358 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.358 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.358 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.358 * [taylor]: Taking taylor expansion of (* re re) in re
0.358 * [taylor]: Taking taylor expansion of re in re
0.358 * [backup-simplify]: Simplify 0 into 0
0.358 * [backup-simplify]: Simplify 1 into 1
0.358 * [taylor]: Taking taylor expansion of re in re
0.358 * [backup-simplify]: Simplify 0 into 0
0.358 * [backup-simplify]: Simplify 1 into 1
0.358 * [taylor]: Taking taylor expansion of (* im im) in re
0.358 * [taylor]: Taking taylor expansion of im in re
0.358 * [backup-simplify]: Simplify im into im
0.358 * [taylor]: Taking taylor expansion of im in re
0.358 * [backup-simplify]: Simplify im into im
0.359 * [backup-simplify]: Simplify (* 0 0) into 0
0.359 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.359 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.360 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.360 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.361 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.361 * [backup-simplify]: Simplify (+ 0 0) into 0
0.361 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.361 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.362 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.362 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.362 * [taylor]: Taking taylor expansion of (* re re) in re
0.362 * [taylor]: Taking taylor expansion of re in re
0.362 * [backup-simplify]: Simplify 0 into 0
0.362 * [backup-simplify]: Simplify 1 into 1
0.362 * [taylor]: Taking taylor expansion of re in re
0.362 * [backup-simplify]: Simplify 0 into 0
0.362 * [backup-simplify]: Simplify 1 into 1
0.362 * [taylor]: Taking taylor expansion of (* im im) in re
0.362 * [taylor]: Taking taylor expansion of im in re
0.362 * [backup-simplify]: Simplify im into im
0.362 * [taylor]: Taking taylor expansion of im in re
0.362 * [backup-simplify]: Simplify im into im
0.363 * [backup-simplify]: Simplify (* 0 0) into 0
0.363 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.363 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.363 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.364 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.364 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.364 * [backup-simplify]: Simplify (+ 0 0) into 0
0.365 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.365 * [taylor]: Taking taylor expansion of im in im
0.365 * [backup-simplify]: Simplify 0 into 0
0.365 * [backup-simplify]: Simplify 1 into 1
0.365 * [backup-simplify]: Simplify 0 into 0
0.365 * [taylor]: Taking taylor expansion of 0 in im
0.365 * [backup-simplify]: Simplify 0 into 0
0.365 * [backup-simplify]: Simplify 0 into 0
0.365 * [backup-simplify]: Simplify 1 into 1
0.366 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.367 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.367 * [backup-simplify]: Simplify (+ 1 0) into 1
0.368 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.368 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.368 * [taylor]: Taking taylor expansion of 1/2 in im
0.368 * [backup-simplify]: Simplify 1/2 into 1/2
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 (/ 1/2 1) into 1/2
0.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.370 * [backup-simplify]: Simplify 0 into 0
0.370 * [backup-simplify]: Simplify 0 into 0
0.370 * [backup-simplify]: Simplify 0 into 0
0.371 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
0.372 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.372 * [backup-simplify]: Simplify (+ 0 0) into 0
0.372 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.372 * [taylor]: Taking taylor expansion of 0 in im
0.372 * [backup-simplify]: Simplify 0 into 0
0.372 * [backup-simplify]: Simplify 0 into 0
0.374 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.374 * [backup-simplify]: Simplify 0 into 0
0.374 * [backup-simplify]: Simplify 0 into 0
0.374 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.374 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
0.374 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
0.374 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
0.374 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.374 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
0.374 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
0.374 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.374 * [taylor]: Taking taylor expansion of re in im
0.374 * [backup-simplify]: Simplify re into re
0.374 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.375 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.375 * [taylor]: Taking taylor expansion of re in im
0.375 * [backup-simplify]: Simplify re into re
0.375 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.375 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
0.375 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.375 * [taylor]: Taking taylor expansion of im in im
0.375 * [backup-simplify]: Simplify 0 into 0
0.375 * [backup-simplify]: Simplify 1 into 1
0.375 * [backup-simplify]: Simplify (/ 1 1) into 1
0.375 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.375 * [taylor]: Taking taylor expansion of im in im
0.375 * [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 * [backup-simplify]: Simplify (* 1 1) into 1
0.377 * [backup-simplify]: Simplify (+ 0 1) into 1
0.377 * [backup-simplify]: Simplify (sqrt 1) into 1
0.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.380 * [backup-simplify]: Simplify (+ 0 0) into 0
0.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.381 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.381 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.381 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.381 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.381 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.381 * [taylor]: Taking taylor expansion of re in re
0.381 * [backup-simplify]: Simplify 0 into 0
0.381 * [backup-simplify]: Simplify 1 into 1
0.382 * [backup-simplify]: Simplify (/ 1 1) into 1
0.382 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.382 * [taylor]: Taking taylor expansion of re in re
0.382 * [backup-simplify]: Simplify 0 into 0
0.382 * [backup-simplify]: Simplify 1 into 1
0.382 * [backup-simplify]: Simplify (/ 1 1) into 1
0.382 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.382 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.382 * [taylor]: Taking taylor expansion of im in re
0.382 * [backup-simplify]: Simplify im into im
0.382 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.382 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.382 * [taylor]: Taking taylor expansion of im in re
0.382 * [backup-simplify]: Simplify im into im
0.382 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.383 * [backup-simplify]: Simplify (* 1 1) into 1
0.383 * [backup-simplify]: Simplify (+ 1 0) into 1
0.384 * [backup-simplify]: Simplify (sqrt 1) into 1
0.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.386 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.386 * [backup-simplify]: Simplify (+ 0 0) into 0
0.387 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.387 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.387 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.387 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.387 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.387 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.388 * [taylor]: Taking taylor expansion of re in re
0.388 * [backup-simplify]: Simplify 0 into 0
0.388 * [backup-simplify]: Simplify 1 into 1
0.388 * [backup-simplify]: Simplify (/ 1 1) into 1
0.388 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.388 * [taylor]: Taking taylor expansion of re in re
0.388 * [backup-simplify]: Simplify 0 into 0
0.388 * [backup-simplify]: Simplify 1 into 1
0.388 * [backup-simplify]: Simplify (/ 1 1) into 1
0.389 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.389 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.389 * [taylor]: Taking taylor expansion of im in re
0.389 * [backup-simplify]: Simplify im into im
0.389 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.389 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.389 * [taylor]: Taking taylor expansion of im in re
0.389 * [backup-simplify]: Simplify im into im
0.389 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.389 * [backup-simplify]: Simplify (* 1 1) into 1
0.390 * [backup-simplify]: Simplify (+ 1 0) into 1
0.390 * [backup-simplify]: Simplify (sqrt 1) into 1
0.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.392 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.393 * [backup-simplify]: Simplify (+ 0 0) into 0
0.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.394 * [taylor]: Taking taylor expansion of 1 in im
0.394 * [backup-simplify]: Simplify 1 into 1
0.394 * [taylor]: Taking taylor expansion of 0 in im
0.394 * [backup-simplify]: Simplify 0 into 0
0.394 * [backup-simplify]: Simplify 1 into 1
0.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.397 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
0.397 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.399 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.399 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.399 * [taylor]: Taking taylor expansion of 1/2 in im
0.399 * [backup-simplify]: Simplify 1/2 into 1/2
0.399 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.399 * [taylor]: Taking taylor expansion of im in im
0.399 * [backup-simplify]: Simplify 0 into 0
0.399 * [backup-simplify]: Simplify 1 into 1
0.399 * [backup-simplify]: Simplify (* 1 1) into 1
0.400 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.401 * [backup-simplify]: Simplify 0 into 0
0.401 * [backup-simplify]: Simplify 0 into 0
0.402 * [backup-simplify]: Simplify 0 into 0
0.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.406 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.406 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.406 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
0.407 * [backup-simplify]: Simplify (+ 0 0) into 0
0.408 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.408 * [taylor]: Taking taylor expansion of 0 in im
0.408 * [backup-simplify]: Simplify 0 into 0
0.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.410 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.410 * [backup-simplify]: Simplify 0 into 0
0.410 * [backup-simplify]: Simplify 0 into 0
0.410 * [backup-simplify]: Simplify 0 into 0
0.410 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.410 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
0.410 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
0.411 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
0.411 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.411 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
0.411 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
0.411 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.411 * [taylor]: Taking taylor expansion of -1 in im
0.411 * [backup-simplify]: Simplify -1 into -1
0.411 * [taylor]: Taking taylor expansion of re in im
0.411 * [backup-simplify]: Simplify re into re
0.411 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.411 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.411 * [taylor]: Taking taylor expansion of -1 in im
0.411 * [backup-simplify]: Simplify -1 into -1
0.411 * [taylor]: Taking taylor expansion of re in im
0.411 * [backup-simplify]: Simplify re into re
0.411 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.411 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
0.411 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.411 * [taylor]: Taking taylor expansion of -1 in im
0.411 * [backup-simplify]: Simplify -1 into -1
0.411 * [taylor]: Taking taylor expansion of im in im
0.411 * [backup-simplify]: Simplify 0 into 0
0.411 * [backup-simplify]: Simplify 1 into 1
0.412 * [backup-simplify]: Simplify (/ -1 1) into -1
0.413 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.413 * [taylor]: Taking taylor expansion of -1 in im
0.413 * [backup-simplify]: Simplify -1 into -1
0.413 * [taylor]: Taking taylor expansion of im in im
0.413 * [backup-simplify]: Simplify 0 into 0
0.413 * [backup-simplify]: Simplify 1 into 1
0.413 * [backup-simplify]: Simplify (/ -1 1) into -1
0.414 * [backup-simplify]: Simplify (* -1 -1) into 1
0.414 * [backup-simplify]: Simplify (+ 0 1) into 1
0.415 * [backup-simplify]: Simplify (sqrt 1) into 1
0.416 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.417 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.417 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.418 * [backup-simplify]: Simplify (+ 0 0) into 0
0.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.419 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.419 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.419 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.419 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.419 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.419 * [taylor]: Taking taylor expansion of -1 in re
0.419 * [backup-simplify]: Simplify -1 into -1
0.419 * [taylor]: Taking taylor expansion of re in re
0.419 * [backup-simplify]: Simplify 0 into 0
0.419 * [backup-simplify]: Simplify 1 into 1
0.420 * [backup-simplify]: Simplify (/ -1 1) into -1
0.420 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.420 * [taylor]: Taking taylor expansion of -1 in re
0.420 * [backup-simplify]: Simplify -1 into -1
0.420 * [taylor]: Taking taylor expansion of re in re
0.420 * [backup-simplify]: Simplify 0 into 0
0.420 * [backup-simplify]: Simplify 1 into 1
0.420 * [backup-simplify]: Simplify (/ -1 1) into -1
0.420 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.420 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.420 * [taylor]: Taking taylor expansion of -1 in re
0.420 * [backup-simplify]: Simplify -1 into -1
0.420 * [taylor]: Taking taylor expansion of im in re
0.421 * [backup-simplify]: Simplify im into im
0.421 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.421 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.421 * [taylor]: Taking taylor expansion of -1 in re
0.421 * [backup-simplify]: Simplify -1 into -1
0.421 * [taylor]: Taking taylor expansion of im in re
0.421 * [backup-simplify]: Simplify im into im
0.421 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.421 * [backup-simplify]: Simplify (* -1 -1) into 1
0.422 * [backup-simplify]: Simplify (+ 1 0) into 1
0.422 * [backup-simplify]: Simplify (sqrt 1) into 1
0.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.424 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.425 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.425 * [backup-simplify]: Simplify (+ 0 0) into 0
0.426 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.426 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.426 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.426 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.426 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.426 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.426 * [taylor]: Taking taylor expansion of -1 in re
0.426 * [backup-simplify]: Simplify -1 into -1
0.426 * [taylor]: Taking taylor expansion of re in re
0.426 * [backup-simplify]: Simplify 0 into 0
0.426 * [backup-simplify]: Simplify 1 into 1
0.427 * [backup-simplify]: Simplify (/ -1 1) into -1
0.427 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.427 * [taylor]: Taking taylor expansion of -1 in re
0.427 * [backup-simplify]: Simplify -1 into -1
0.427 * [taylor]: Taking taylor expansion of re in re
0.427 * [backup-simplify]: Simplify 0 into 0
0.427 * [backup-simplify]: Simplify 1 into 1
0.428 * [backup-simplify]: Simplify (/ -1 1) into -1
0.428 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.428 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.428 * [taylor]: Taking taylor expansion of -1 in re
0.428 * [backup-simplify]: Simplify -1 into -1
0.428 * [taylor]: Taking taylor expansion of im in re
0.428 * [backup-simplify]: Simplify im into im
0.428 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.428 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.428 * [taylor]: Taking taylor expansion of -1 in re
0.428 * [backup-simplify]: Simplify -1 into -1
0.428 * [taylor]: Taking taylor expansion of im in re
0.428 * [backup-simplify]: Simplify im into im
0.428 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.429 * [backup-simplify]: Simplify (* -1 -1) into 1
0.430 * [backup-simplify]: Simplify (+ 1 0) into 1
0.430 * [backup-simplify]: Simplify (sqrt 1) into 1
0.431 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.432 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.433 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.433 * [backup-simplify]: Simplify (+ 0 0) into 0
0.434 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.434 * [taylor]: Taking taylor expansion of 1 in im
0.434 * [backup-simplify]: Simplify 1 into 1
0.434 * [taylor]: Taking taylor expansion of 0 in im
0.434 * [backup-simplify]: Simplify 0 into 0
0.434 * [backup-simplify]: Simplify 1 into 1
0.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.438 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.438 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
0.438 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.440 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.440 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.440 * [taylor]: Taking taylor expansion of 1/2 in im
0.440 * [backup-simplify]: Simplify 1/2 into 1/2
0.440 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.440 * [taylor]: Taking taylor expansion of im in im
0.440 * [backup-simplify]: Simplify 0 into 0
0.440 * [backup-simplify]: Simplify 1 into 1
0.441 * [backup-simplify]: Simplify (* 1 1) into 1
0.442 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.443 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.444 * [backup-simplify]: Simplify 0 into 0
0.444 * [backup-simplify]: Simplify 0 into 0
0.444 * [backup-simplify]: Simplify 0 into 0
0.445 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.448 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.448 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.448 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.448 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
0.449 * [backup-simplify]: Simplify (+ 0 0) into 0
0.450 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.450 * [taylor]: Taking taylor expansion of 0 in im
0.450 * [backup-simplify]: Simplify 0 into 0
0.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.452 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.452 * [backup-simplify]: Simplify 0 into 0
0.452 * [backup-simplify]: Simplify 0 into 0
0.453 * [backup-simplify]: Simplify 0 into 0
0.453 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.453 * * * * [progress]: [ 3 / 3 ] generating series at (2 2)
0.453 * [backup-simplify]: Simplify (sqrt (* (+ re (hypot re im)) 2.0)) into (* (sqrt (+ re (hypot re im))) (sqrt 2.0))
0.453 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0
0.453 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im
0.453 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im
0.453 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im
0.453 * [taylor]: Taking taylor expansion of re in im
0.453 * [backup-simplify]: Simplify re into re
0.453 * [taylor]: Taking taylor expansion of (hypot re im) in im
0.453 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.454 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
0.454 * [taylor]: Taking taylor expansion of (* re re) in im
0.454 * [taylor]: Taking taylor expansion of re in im
0.454 * [backup-simplify]: Simplify re into re
0.454 * [taylor]: Taking taylor expansion of re in im
0.454 * [backup-simplify]: Simplify re into re
0.454 * [taylor]: Taking taylor expansion of (* im im) in im
0.454 * [taylor]: Taking taylor expansion of im in im
0.454 * [backup-simplify]: Simplify 0 into 0
0.454 * [backup-simplify]: Simplify 1 into 1
0.454 * [taylor]: Taking taylor expansion of im in im
0.454 * [backup-simplify]: Simplify 0 into 0
0.454 * [backup-simplify]: Simplify 1 into 1
0.454 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.454 * [backup-simplify]: Simplify (* 0 0) into 0
0.455 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.455 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.455 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.456 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.456 * [backup-simplify]: Simplify (+ 0 0) into 0
0.456 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.456 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
0.456 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
0.457 * [backup-simplify]: Simplify (+ 0 0) into 0
0.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
0.457 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.457 * [taylor]: Taking taylor expansion of 2.0 in im
0.457 * [backup-simplify]: Simplify 2.0 into 2.0
0.458 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.458 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.458 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re
0.458 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re
0.458 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
0.458 * [taylor]: Taking taylor expansion of re in re
0.458 * [backup-simplify]: Simplify 0 into 0
0.458 * [backup-simplify]: Simplify 1 into 1
0.458 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.459 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.459 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.459 * [taylor]: Taking taylor expansion of (* re re) in re
0.459 * [taylor]: Taking taylor expansion of re in re
0.459 * [backup-simplify]: Simplify 0 into 0
0.459 * [backup-simplify]: Simplify 1 into 1
0.459 * [taylor]: Taking taylor expansion of re in re
0.459 * [backup-simplify]: Simplify 0 into 0
0.459 * [backup-simplify]: Simplify 1 into 1
0.459 * [taylor]: Taking taylor expansion of (* im im) in re
0.459 * [taylor]: Taking taylor expansion of im in re
0.459 * [backup-simplify]: Simplify im into im
0.459 * [taylor]: Taking taylor expansion of im in re
0.459 * [backup-simplify]: Simplify im into im
0.460 * [backup-simplify]: Simplify (* 0 0) into 0
0.460 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.460 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.460 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.461 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.461 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.461 * [backup-simplify]: Simplify (+ 0 0) into 0
0.462 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.462 * [backup-simplify]: Simplify (+ 0 im) into im
0.462 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.462 * [backup-simplify]: Simplify (+ 1 0) into 1
0.462 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.462 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.462 * [taylor]: Taking taylor expansion of 2.0 in re
0.462 * [backup-simplify]: Simplify 2.0 into 2.0
0.463 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.464 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.464 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re
0.464 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re
0.464 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
0.464 * [taylor]: Taking taylor expansion of re in re
0.464 * [backup-simplify]: Simplify 0 into 0
0.464 * [backup-simplify]: Simplify 1 into 1
0.464 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.464 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.464 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.464 * [taylor]: Taking taylor expansion of (* re re) in re
0.464 * [taylor]: Taking taylor expansion of re in re
0.464 * [backup-simplify]: Simplify 0 into 0
0.464 * [backup-simplify]: Simplify 1 into 1
0.464 * [taylor]: Taking taylor expansion of re in re
0.464 * [backup-simplify]: Simplify 0 into 0
0.464 * [backup-simplify]: Simplify 1 into 1
0.464 * [taylor]: Taking taylor expansion of (* im im) in re
0.465 * [taylor]: Taking taylor expansion of im in re
0.465 * [backup-simplify]: Simplify im into im
0.465 * [taylor]: Taking taylor expansion of im in re
0.465 * [backup-simplify]: Simplify im into im
0.465 * [backup-simplify]: Simplify (* 0 0) into 0
0.465 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.465 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.466 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.466 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.466 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.467 * [backup-simplify]: Simplify (+ 0 0) into 0
0.467 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.467 * [backup-simplify]: Simplify (+ 0 im) into im
0.467 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.468 * [backup-simplify]: Simplify (+ 1 0) into 1
0.468 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.468 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.468 * [taylor]: Taking taylor expansion of 2.0 in re
0.468 * [backup-simplify]: Simplify 2.0 into 2.0
0.468 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.469 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.469 * [backup-simplify]: Simplify (* (sqrt im) (sqrt 2.0)) into (* (sqrt 2.0) (sqrt im))
0.469 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
0.470 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.470 * [taylor]: Taking taylor expansion of 2.0 in im
0.470 * [backup-simplify]: Simplify 2.0 into 2.0
0.470 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.471 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.471 * [taylor]: Taking taylor expansion of (sqrt im) in im
0.471 * [taylor]: Taking taylor expansion of im in im
0.471 * [backup-simplify]: Simplify 0 into 0
0.471 * [backup-simplify]: Simplify 1 into 1
0.472 * [backup-simplify]: Simplify (sqrt 0) into 0
0.473 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.474 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.474 * [backup-simplify]: Simplify 0 into 0
0.475 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* (* 1/2 (sqrt (/ 1 im))) (sqrt 2.0))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
0.475 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
0.475 * [taylor]: Taking taylor expansion of 1/2 in im
0.475 * [backup-simplify]: Simplify 1/2 into 1/2
0.475 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
0.475 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.475 * [taylor]: Taking taylor expansion of 2.0 in im
0.475 * [backup-simplify]: Simplify 2.0 into 2.0
0.476 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.478 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.478 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
0.478 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.478 * [taylor]: Taking taylor expansion of im in im
0.478 * [backup-simplify]: Simplify 0 into 0
0.478 * [backup-simplify]: Simplify 1 into 1
0.479 * [backup-simplify]: Simplify (/ 1 1) into 1
0.479 * [backup-simplify]: Simplify (sqrt 0) into 0
0.481 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.484 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.484 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.490 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.491 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.494 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.496 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.497 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.498 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.499 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.499 * [backup-simplify]: Simplify (+ 1 0) into 1
0.500 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.500 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.501 * [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))))
0.502 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (+ (* (* 1/2 (sqrt (/ 1 im))) 0) (* (* 1/8 (sqrt (/ 1 (pow im 3)))) (sqrt 2.0)))) into (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))))
0.502 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
0.502 * [taylor]: Taking taylor expansion of 1/8 in im
0.502 * [backup-simplify]: Simplify 1/8 into 1/8
0.502 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
0.502 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.502 * [taylor]: Taking taylor expansion of 2.0 in im
0.502 * [backup-simplify]: Simplify 2.0 into 2.0
0.503 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.503 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
0.503 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
0.503 * [taylor]: Taking taylor expansion of (pow im 3) in im
0.504 * [taylor]: Taking taylor expansion of im in im
0.504 * [backup-simplify]: Simplify 0 into 0
0.504 * [backup-simplify]: Simplify 1 into 1
0.504 * [backup-simplify]: Simplify (* 1 1) into 1
0.504 * [backup-simplify]: Simplify (* 1 1) into 1
0.505 * [backup-simplify]: Simplify (/ 1 1) into 1
0.505 * [backup-simplify]: Simplify (sqrt 0) into 0
0.506 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.507 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.516 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.518 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.520 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.522 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.523 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.544 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.546 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.558 * [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)))))))
0.559 * [backup-simplify]: Simplify (sqrt (* (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 2.0)) into (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0))
0.559 * [approximate]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0
0.559 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im
0.559 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im
0.559 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
0.559 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
0.560 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.560 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
0.560 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
0.560 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.560 * [taylor]: Taking taylor expansion of re in im
0.560 * [backup-simplify]: Simplify re into re
0.560 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.560 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.560 * [taylor]: Taking taylor expansion of re in im
0.560 * [backup-simplify]: Simplify re into re
0.560 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.560 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
0.560 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.560 * [taylor]: Taking taylor expansion of im in im
0.560 * [backup-simplify]: Simplify 0 into 0
0.560 * [backup-simplify]: Simplify 1 into 1
0.569 * [backup-simplify]: Simplify (/ 1 1) into 1
0.569 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.569 * [taylor]: Taking taylor expansion of im in im
0.569 * [backup-simplify]: Simplify 0 into 0
0.569 * [backup-simplify]: Simplify 1 into 1
0.570 * [backup-simplify]: Simplify (/ 1 1) into 1
0.570 * [backup-simplify]: Simplify (* 1 1) into 1
0.571 * [backup-simplify]: Simplify (+ 0 1) into 1
0.571 * [backup-simplify]: Simplify (sqrt 1) into 1
0.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.574 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.575 * [backup-simplify]: Simplify (+ 0 0) into 0
0.576 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.576 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.576 * [taylor]: Taking taylor expansion of re in im
0.576 * [backup-simplify]: Simplify re into re
0.576 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.581 * [backup-simplify]: Simplify (+ 1 0) into 1
0.581 * [backup-simplify]: Simplify (sqrt 0) into 0
0.583 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.583 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.583 * [taylor]: Taking taylor expansion of 2.0 in im
0.583 * [backup-simplify]: Simplify 2.0 into 2.0
0.584 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.584 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.584 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re
0.585 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re
0.585 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
0.591 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.591 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.591 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.591 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) 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
0.592 * [backup-simplify]: Simplify (/ 1 1) into 1
0.592 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.592 * [taylor]: Taking taylor expansion of re in re
0.592 * [backup-simplify]: Simplify 0 into 0
0.592 * [backup-simplify]: Simplify 1 into 1
0.593 * [backup-simplify]: Simplify (/ 1 1) into 1
0.593 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.593 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.593 * [taylor]: Taking taylor expansion of im in re
0.593 * [backup-simplify]: Simplify im into im
0.593 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.593 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.593 * [taylor]: Taking taylor expansion of im in re
0.593 * [backup-simplify]: Simplify im into im
0.593 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.593 * [backup-simplify]: Simplify (* 1 1) into 1
0.594 * [backup-simplify]: Simplify (+ 1 0) into 1
0.594 * [backup-simplify]: Simplify (sqrt 1) into 1
0.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.606 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.607 * [backup-simplify]: Simplify (+ 0 0) into 0
0.608 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.608 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.608 * [taylor]: Taking taylor expansion of re in re
0.608 * [backup-simplify]: Simplify 0 into 0
0.609 * [backup-simplify]: Simplify 1 into 1
0.609 * [backup-simplify]: Simplify (/ 1 1) into 1
0.610 * [backup-simplify]: Simplify (+ 1 1) into 2
0.610 * [backup-simplify]: Simplify (sqrt 0) into 0
0.618 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.618 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.618 * [taylor]: Taking taylor expansion of 2.0 in re
0.618 * [backup-simplify]: Simplify 2.0 into 2.0
0.619 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.619 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.619 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re
0.620 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re
0.620 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
0.620 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.620 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.620 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.620 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.620 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.620 * [taylor]: Taking taylor expansion of re in re
0.620 * [backup-simplify]: Simplify 0 into 0
0.620 * [backup-simplify]: Simplify 1 into 1
0.621 * [backup-simplify]: Simplify (/ 1 1) into 1
0.621 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.621 * [taylor]: Taking taylor expansion of re in re
0.621 * [backup-simplify]: Simplify 0 into 0
0.621 * [backup-simplify]: Simplify 1 into 1
0.621 * [backup-simplify]: Simplify (/ 1 1) into 1
0.621 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.622 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.622 * [taylor]: Taking taylor expansion of im in re
0.622 * [backup-simplify]: Simplify im into im
0.622 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.622 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.622 * [taylor]: Taking taylor expansion of im in re
0.622 * [backup-simplify]: Simplify im into im
0.622 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.622 * [backup-simplify]: Simplify (* 1 1) into 1
0.623 * [backup-simplify]: Simplify (+ 1 0) into 1
0.623 * [backup-simplify]: Simplify (sqrt 1) into 1
0.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.631 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.632 * [backup-simplify]: Simplify (+ 0 0) into 0
0.641 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.641 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.641 * [taylor]: Taking taylor expansion of re in re
0.641 * [backup-simplify]: Simplify 0 into 0
0.641 * [backup-simplify]: Simplify 1 into 1
0.641 * [backup-simplify]: Simplify (/ 1 1) into 1
0.642 * [backup-simplify]: Simplify (+ 1 1) into 2
0.642 * [backup-simplify]: Simplify (sqrt 0) into 0
0.643 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.643 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.643 * [taylor]: Taking taylor expansion of 2.0 in re
0.644 * [backup-simplify]: Simplify 2.0 into 2.0
0.644 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.645 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.646 * [backup-simplify]: Simplify (* 0 (sqrt 2.0)) into 0
0.646 * [taylor]: Taking taylor expansion of 0 in im
0.646 * [backup-simplify]: Simplify 0 into 0
0.648 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.648 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.648 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.648 * [taylor]: Taking taylor expansion of +nan.0 in im
0.648 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.648 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.648 * [taylor]: Taking taylor expansion of 2.0 in im
0.648 * [backup-simplify]: Simplify 2.0 into 2.0
0.657 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.658 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.658 * [backup-simplify]: Simplify 0 into 0
0.659 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.660 * [backup-simplify]: Simplify (+ 0 0) into 0
0.663 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.669 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.669 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.670 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.670 * [taylor]: Taking taylor expansion of +nan.0 in im
0.670 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.670 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.670 * [taylor]: Taking taylor expansion of 2.0 in im
0.670 * [backup-simplify]: Simplify 2.0 into 2.0
0.670 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.671 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.672 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.673 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.675 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.675 * [backup-simplify]: Simplify 0 into 0
0.677 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.681 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.682 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
0.682 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.683 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.684 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.686 * [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))
0.688 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) (sqrt 2.0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))))
0.688 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
0.688 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
0.688 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.688 * [taylor]: Taking taylor expansion of +nan.0 in im
0.688 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.688 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.688 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.689 * [taylor]: Taking taylor expansion of 2.0 in im
0.689 * [backup-simplify]: Simplify 2.0 into 2.0
0.689 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.690 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.690 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.690 * [taylor]: Taking taylor expansion of im in im
0.690 * [backup-simplify]: Simplify 0 into 0
0.690 * [backup-simplify]: Simplify 1 into 1
0.690 * [backup-simplify]: Simplify (* 1 1) into 1
0.690 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.691 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.691 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.691 * [taylor]: Taking taylor expansion of +nan.0 in im
0.691 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.691 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.691 * [taylor]: Taking taylor expansion of 2.0 in im
0.691 * [backup-simplify]: Simplify 2.0 into 2.0
0.691 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.691 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.692 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.692 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.693 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.694 * [backup-simplify]: Simplify (+ 0 0) into 0
0.694 * [backup-simplify]: Simplify (- 0) into 0
0.694 * [backup-simplify]: Simplify 0 into 0
0.695 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.696 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.697 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.698 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.698 * [backup-simplify]: Simplify (- 0) into 0
0.698 * [backup-simplify]: Simplify 0 into 0
0.699 * [backup-simplify]: Simplify 0 into 0
0.700 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.703 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.703 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.703 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
0.704 * [backup-simplify]: Simplify (+ 0 0) into 0
0.705 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.706 * [backup-simplify]: Simplify (+ 0 0) into 0
0.707 * [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)))
0.710 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) (sqrt 2.0)))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))))
0.710 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
0.710 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
0.710 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.710 * [taylor]: Taking taylor expansion of +nan.0 in im
0.710 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.710 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.710 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.710 * [taylor]: Taking taylor expansion of 2.0 in im
0.710 * [backup-simplify]: Simplify 2.0 into 2.0
0.710 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.711 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.711 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.711 * [taylor]: Taking taylor expansion of im in im
0.711 * [backup-simplify]: Simplify 0 into 0
0.711 * [backup-simplify]: Simplify 1 into 1
0.711 * [backup-simplify]: Simplify (* 1 1) into 1
0.712 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.712 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.712 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.712 * [taylor]: Taking taylor expansion of +nan.0 in im
0.712 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.713 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.713 * [taylor]: Taking taylor expansion of 2.0 in im
0.713 * [backup-simplify]: Simplify 2.0 into 2.0
0.713 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.714 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.715 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.716 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.717 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.720 * [backup-simplify]: Simplify (+ 0 0) into 0
0.721 * [backup-simplify]: Simplify (- 0) into 0
0.721 * [backup-simplify]: Simplify 0 into 0
0.722 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.724 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.726 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.727 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.728 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.731 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.733 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.735 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.740 * [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) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))))
0.740 * [backup-simplify]: Simplify (sqrt (* (+ (/ 1 (- re)) (hypot (/ 1 (- re)) (/ 1 (- im)))) 2.0)) into (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))
0.740 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0
0.740 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im
0.740 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.740 * [taylor]: Taking taylor expansion of 2.0 in im
0.740 * [backup-simplify]: Simplify 2.0 into 2.0
0.741 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.742 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.742 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im
0.742 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
0.742 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
0.742 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.742 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
0.742 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
0.742 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.742 * [taylor]: Taking taylor expansion of -1 in im
0.742 * [backup-simplify]: Simplify -1 into -1
0.742 * [taylor]: Taking taylor expansion of re in im
0.742 * [backup-simplify]: Simplify re into re
0.742 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.742 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.743 * [taylor]: Taking taylor expansion of -1 in im
0.743 * [backup-simplify]: Simplify -1 into -1
0.743 * [taylor]: Taking taylor expansion of re in im
0.743 * [backup-simplify]: Simplify re into re
0.743 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.743 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
0.743 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.743 * [taylor]: Taking taylor expansion of -1 in im
0.743 * [backup-simplify]: Simplify -1 into -1
0.743 * [taylor]: Taking taylor expansion of im in im
0.743 * [backup-simplify]: Simplify 0 into 0
0.743 * [backup-simplify]: Simplify 1 into 1
0.744 * [backup-simplify]: Simplify (/ -1 1) into -1
0.744 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.744 * [taylor]: Taking taylor expansion of -1 in im
0.744 * [backup-simplify]: Simplify -1 into -1
0.744 * [taylor]: Taking taylor expansion of im in im
0.744 * [backup-simplify]: Simplify 0 into 0
0.744 * [backup-simplify]: Simplify 1 into 1
0.744 * [backup-simplify]: Simplify (/ -1 1) into -1
0.745 * [backup-simplify]: Simplify (* -1 -1) into 1
0.745 * [backup-simplify]: Simplify (+ 0 1) into 1
0.745 * [backup-simplify]: Simplify (sqrt 1) into 1
0.746 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.747 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.748 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.748 * [backup-simplify]: Simplify (+ 0 0) into 0
0.749 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.749 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.749 * [taylor]: Taking taylor expansion of re in im
0.749 * [backup-simplify]: Simplify re into re
0.749 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.750 * [backup-simplify]: Simplify (+ 1 0) into 1
0.750 * [backup-simplify]: Simplify (sqrt 0) into 0
0.751 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.751 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re
0.752 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.752 * [taylor]: Taking taylor expansion of 2.0 in re
0.752 * [backup-simplify]: Simplify 2.0 into 2.0
0.752 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.753 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.753 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
0.753 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
0.753 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.753 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.753 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.753 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.753 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.753 * [taylor]: Taking taylor expansion of -1 in re
0.753 * [backup-simplify]: Simplify -1 into -1
0.753 * [taylor]: Taking taylor expansion of re in re
0.753 * [backup-simplify]: Simplify 0 into 0
0.753 * [backup-simplify]: Simplify 1 into 1
0.754 * [backup-simplify]: Simplify (/ -1 1) into -1
0.754 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.754 * [taylor]: Taking taylor expansion of -1 in re
0.754 * [backup-simplify]: Simplify -1 into -1
0.754 * [taylor]: Taking taylor expansion of re in re
0.754 * [backup-simplify]: Simplify 0 into 0
0.754 * [backup-simplify]: Simplify 1 into 1
0.754 * [backup-simplify]: Simplify (/ -1 1) into -1
0.754 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.754 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.754 * [taylor]: Taking taylor expansion of -1 in re
0.754 * [backup-simplify]: Simplify -1 into -1
0.755 * [taylor]: Taking taylor expansion of im in re
0.755 * [backup-simplify]: Simplify im into im
0.755 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.755 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.755 * [taylor]: Taking taylor expansion of -1 in re
0.755 * [backup-simplify]: Simplify -1 into -1
0.755 * [taylor]: Taking taylor expansion of im in re
0.755 * [backup-simplify]: Simplify im into im
0.755 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.755 * [backup-simplify]: Simplify (* -1 -1) into 1
0.756 * [backup-simplify]: Simplify (+ 1 0) into 1
0.756 * [backup-simplify]: Simplify (sqrt 1) into 1
0.757 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.759 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.759 * [backup-simplify]: Simplify (+ 0 0) into 0
0.760 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.760 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.760 * [taylor]: Taking taylor expansion of re in re
0.760 * [backup-simplify]: Simplify 0 into 0
0.760 * [backup-simplify]: Simplify 1 into 1
0.760 * [backup-simplify]: Simplify (/ 1 1) into 1
0.761 * [backup-simplify]: Simplify (- 1) into -1
0.762 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.763 * [backup-simplify]: Simplify (- 0) into 0
0.763 * [backup-simplify]: Simplify (+ 0 0) into 0
0.764 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.765 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.767 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.767 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
0.767 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.769 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.775 * [backup-simplify]: Simplify (- 0) into 0
0.775 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.776 * [backup-simplify]: Simplify (sqrt 0) into 0
0.777 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.777 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re
0.777 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.777 * [taylor]: Taking taylor expansion of 2.0 in re
0.777 * [backup-simplify]: Simplify 2.0 into 2.0
0.777 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.778 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.778 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
0.778 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
0.778 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.779 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.779 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.779 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.779 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.779 * [taylor]: Taking taylor expansion of -1 in re
0.779 * [backup-simplify]: Simplify -1 into -1
0.779 * [taylor]: Taking taylor expansion of re in re
0.779 * [backup-simplify]: Simplify 0 into 0
0.779 * [backup-simplify]: Simplify 1 into 1
0.780 * [backup-simplify]: Simplify (/ -1 1) into -1
0.780 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.780 * [taylor]: Taking taylor expansion of -1 in re
0.780 * [backup-simplify]: Simplify -1 into -1
0.780 * [taylor]: Taking taylor expansion of re in re
0.780 * [backup-simplify]: Simplify 0 into 0
0.780 * [backup-simplify]: Simplify 1 into 1
0.780 * [backup-simplify]: Simplify (/ -1 1) into -1
0.780 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.780 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.780 * [taylor]: Taking taylor expansion of -1 in re
0.780 * [backup-simplify]: Simplify -1 into -1
0.780 * [taylor]: Taking taylor expansion of im in re
0.780 * [backup-simplify]: Simplify im into im
0.780 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.781 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.781 * [taylor]: Taking taylor expansion of -1 in re
0.781 * [backup-simplify]: Simplify -1 into -1
0.781 * [taylor]: Taking taylor expansion of im in re
0.781 * [backup-simplify]: Simplify im into im
0.781 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.781 * [backup-simplify]: Simplify (* -1 -1) into 1
0.782 * [backup-simplify]: Simplify (+ 1 0) into 1
0.782 * [backup-simplify]: Simplify (sqrt 1) into 1
0.783 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.784 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.785 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.785 * [backup-simplify]: Simplify (+ 0 0) into 0
0.786 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.786 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.786 * [taylor]: Taking taylor expansion of re in re
0.786 * [backup-simplify]: Simplify 0 into 0
0.786 * [backup-simplify]: Simplify 1 into 1
0.786 * [backup-simplify]: Simplify (/ 1 1) into 1
0.787 * [backup-simplify]: Simplify (- 1) into -1
0.787 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.788 * [backup-simplify]: Simplify (- 0) into 0
0.789 * [backup-simplify]: Simplify (+ 0 0) into 0
0.790 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.791 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.792 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.792 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
0.793 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.794 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.795 * [backup-simplify]: Simplify (- 0) into 0
0.796 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.796 * [backup-simplify]: Simplify (sqrt 0) into 0
0.797 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.797 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.798 * [taylor]: Taking taylor expansion of 0 in im
0.798 * [backup-simplify]: Simplify 0 into 0
0.799 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
0.799 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.799 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.799 * [taylor]: Taking taylor expansion of +nan.0 in im
0.799 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.799 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.799 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.799 * [taylor]: Taking taylor expansion of 2.0 in im
0.799 * [backup-simplify]: Simplify 2.0 into 2.0
0.800 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.801 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.801 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.801 * [taylor]: Taking taylor expansion of im in im
0.801 * [backup-simplify]: Simplify 0 into 0
0.801 * [backup-simplify]: Simplify 1 into 1
0.801 * [backup-simplify]: Simplify (* 1 1) into 1
0.802 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.803 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.804 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.805 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.806 * [backup-simplify]: Simplify (- 0) into 0
0.806 * [backup-simplify]: Simplify 0 into 0
0.806 * [backup-simplify]: Simplify 0 into 0
0.807 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.808 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.810 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.810 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.810 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.810 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
0.811 * [backup-simplify]: Simplify (+ 0 0) into 0
0.812 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.813 * [backup-simplify]: Simplify (- 0) into 0
0.814 * [backup-simplify]: Simplify (+ 0 0) into 0
0.815 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
0.816 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.817 * [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))))
0.818 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
0.818 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.818 * [taylor]: Taking taylor expansion of +nan.0 in im
0.818 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.818 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.818 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.818 * [taylor]: Taking taylor expansion of 2.0 in im
0.818 * [backup-simplify]: Simplify 2.0 into 2.0
0.818 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.819 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.819 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.819 * [taylor]: Taking taylor expansion of im in im
0.819 * [backup-simplify]: Simplify 0 into 0
0.819 * [backup-simplify]: Simplify 1 into 1
0.819 * [backup-simplify]: Simplify (* 1 1) into 1
0.820 * [backup-simplify]: Simplify (* 1 1) into 1
0.821 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.822 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.824 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.826 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.827 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.832 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.834 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.836 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.836 * [backup-simplify]: Simplify (- 0) into 0
0.837 * [backup-simplify]: Simplify 0 into 0
0.838 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.840 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.841 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.842 * [backup-simplify]: Simplify (- 0) into 0
0.842 * [backup-simplify]: Simplify 0 into 0
0.842 * [backup-simplify]: Simplify 0 into 0
0.843 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.844 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.846 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
0.846 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
0.846 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
0.847 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0
0.847 * [backup-simplify]: Simplify (+ 0 0) into 0
0.849 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
0.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.851 * [backup-simplify]: Simplify (- 0) into 0
0.851 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
0.852 * [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 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))
0.854 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.856 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (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 6))))))
0.856 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
0.856 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
0.856 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.856 * [taylor]: Taking taylor expansion of +nan.0 in im
0.856 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.856 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.856 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.856 * [taylor]: Taking taylor expansion of 2.0 in im
0.856 * [backup-simplify]: Simplify 2.0 into 2.0
0.856 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.857 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.857 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.857 * [taylor]: Taking taylor expansion of im in im
0.857 * [backup-simplify]: Simplify 0 into 0
0.857 * [backup-simplify]: Simplify 1 into 1
0.858 * [backup-simplify]: Simplify (* 1 1) into 1
0.858 * [backup-simplify]: Simplify (* 1 1) into 1
0.859 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.859 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
0.859 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
0.860 * [taylor]: Taking taylor expansion of +nan.0 in im
0.860 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.860 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
0.860 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.860 * [taylor]: Taking taylor expansion of 2.0 in im
0.860 * [backup-simplify]: Simplify 2.0 into 2.0
0.860 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.861 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.861 * [taylor]: Taking taylor expansion of (pow im 6) in im
0.861 * [taylor]: Taking taylor expansion of im in im
0.861 * [backup-simplify]: Simplify 0 into 0
0.861 * [backup-simplify]: Simplify 1 into 1
0.862 * [backup-simplify]: Simplify (* 1 1) into 1
0.862 * [backup-simplify]: Simplify (* 1 1) into 1
0.862 * [backup-simplify]: Simplify (* 1 1) into 1
0.864 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.865 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.867 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.872 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.873 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.874 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.875 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.878 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.879 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.880 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.882 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.883 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.890 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.892 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.897 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.897 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.900 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.902 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.903 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.905 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.907 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
0.907 * [backup-simplify]: Simplify (- 0) into 0
0.907 * [backup-simplify]: Simplify (+ 0 0) into 0
0.908 * [backup-simplify]: Simplify (- 0) into 0
0.908 * [backup-simplify]: Simplify 0 into 0
0.908 * [backup-simplify]: Simplify 0 into 0
0.908 * * * [progress]: simplifying candidates
0.909 * [simplify]: Simplifying:
  (expm1 (+ re (hypot re im)))
  (log1p (+ re (hypot re im)))
  (* (exp re) (exp (hypot re im)))
  (log (+ re (hypot re im)))
  (exp (+ re (hypot re im)))
  (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im))))
  (cbrt (+ re (hypot re im)))
  (* (* (+ re (hypot re im)) (+ re (hypot re im))) (+ re (hypot re im)))
  (sqrt (+ re (hypot re im)))
  (sqrt (+ re (hypot re im)))
  (+ (pow re 3) (pow (hypot re im) 3))
  (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))
  (- (* re re) (* (hypot re im) (hypot re im)))
  (- re (hypot re im))
  (+ re (hypot re im))
  (expm1 (hypot re im))
  (log1p (hypot re im))
  (+ (* re re) (* im im))
  (log (hypot re im))
  (exp (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (* (* (hypot re im) (hypot re im)) (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (expm1 (sqrt (* (+ re (hypot re im)) 2.0)))
  (log1p (sqrt (* (+ re (hypot re im)) 2.0)))
  (log (sqrt (* (+ re (hypot re im)) 2.0)))
  (exp (sqrt (* (+ re (hypot re im)) 2.0)))
  (* (cbrt (sqrt (* (+ re (hypot re im)) 2.0))) (cbrt (sqrt (* (+ re (hypot re im)) 2.0))))
  (cbrt (sqrt (* (+ re (hypot re im)) 2.0)))
  (* (* (sqrt (* (+ re (hypot re im)) 2.0)) (sqrt (* (+ re (hypot re im)) 2.0))) (sqrt (* (+ re (hypot re im)) 2.0)))
  (sqrt (+ re (hypot re im)))
  (sqrt 2.0)
  (sqrt (* (+ (pow re 3) (pow (hypot re im) 3)) 2.0))
  (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im)))))
  (sqrt (* (- (* re re) (* (hypot re im) (hypot re im))) 2.0))
  (sqrt (- re (hypot re im)))
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* (+ re (hypot re im)) 2.0)))
  (sqrt (sqrt (* (+ re (hypot re im)) 2.0)))
  (+ re im)
  (* 2 re)
  0
  im
  re
  (* -1 re)
  (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re)))))))
  (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))))
  0
0.911 * * [simplify]: iteration 0: 86 enodes
0.960 * * [simplify]: iteration 1: 187 enodes
1.081 * * [simplify]: iteration 2: 477 enodes
1.441 * * [simplify]: iteration 3: 1399 enodes
4.344 * * [simplify]: iteration 4: 4821 enodes
6.635 * * [simplify]: iteration complete: 5000 enodes
6.635 * * [simplify]: Extracting #0: cost 44 inf + 0
6.636 * * [simplify]: Extracting #1: cost 235 inf + 87
6.646 * * [simplify]: Extracting #2: cost 760 inf + 8462
6.698 * * [simplify]: Extracting #3: cost 403 inf + 81729
6.759 * * [simplify]: Extracting #4: cost 43 inf + 141575
6.838 * * [simplify]: Extracting #5: cost 3 inf + 153142
6.924 * * [simplify]: Extracting #6: cost 0 inf + 153834
7.018 * [simplify]: Simplified to:
  (expm1 (+ (hypot re im) re))
  (log1p (+ (hypot re im) re))
  (exp (+ (hypot re im) re))
  (log (+ (hypot re im) re))
  (exp (+ (hypot re im) re))
  (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re)))
  (cbrt (+ (hypot re im) re))
  (* (* (+ (hypot re im) re) (+ (hypot re im) re)) (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  (fma re (* re re) (* (* (hypot re im) (hypot re im)) (hypot re im)))
  (fma re re (* (- (hypot re im) re) (hypot re im)))
  (- (* re re) (* (hypot re im) (hypot re im)))
  (- re (hypot re im))
  (+ (hypot re im) re)
  (expm1 (hypot re im))
  (log1p (hypot re im))
  (fma re re (* im im))
  (log (hypot re im))
  (exp (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (* (* (hypot re im) (hypot re im)) (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (expm1 (sqrt (* (+ (hypot re im) re) 2.0)))
  (log1p (sqrt (* (+ (hypot re im) re) 2.0)))
  (log (sqrt (* (+ (hypot re im) re) 2.0)))
  (exp (sqrt (* (+ (hypot re im) re) 2.0)))
  (* (cbrt (sqrt (* (+ (hypot re im) re) 2.0))) (cbrt (sqrt (* (+ (hypot re im) re) 2.0))))
  (cbrt (sqrt (* (+ (hypot re im) re) 2.0)))
  (* (* (+ (hypot re im) re) 2.0) (sqrt (* (+ (hypot re im) re) 2.0)))
  (sqrt (+ (hypot re im) re))
  (sqrt 2.0)
  (sqrt (* 2.0 (fma re (* re re) (* (* (hypot re im) (hypot re im)) (hypot re im)))))
  (sqrt (fma re re (* (- (hypot re im) re) (hypot re im))))
  (sqrt (* (+ (hypot re im) re) (* (- re (hypot re im)) 2.0)))
  (sqrt (- re (hypot re im)))
  1/2
  1/2
  (sqrt (sqrt (* (+ (hypot re im) re) 2.0)))
  (sqrt (sqrt (* (+ (hypot re im) re) 2.0)))
  (+ re im)
  (* 2 re)
  0
  im
  re
  (- re)
  (* (* (sqrt 2.0) +nan.0) (fma (- re) re (- im re)))
  (fma +nan.0 (- (sqrt 2.0)) (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)))
  0
7.023 * * * [progress]: adding candidates to table
7.466 * * [progress]: iteration 2 / 4
7.466 * * * [progress]: picking best candidate
7.532 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (* (sqrt (+ re (hypot re im))) (sqrt 2.0))))>
7.532 * * * [progress]: localizing error
7.568 * * * [progress]: generating rewritten candidates
7.568 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1)
7.580 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2)
7.644 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2)
7.646 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
7.664 * * * [progress]: generating series expansions
7.664 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1)
7.664 * [backup-simplify]: Simplify (+ re (hypot re im)) into (+ re (hypot re im))
7.664 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0
7.664 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im
7.664 * [taylor]: Taking taylor expansion of re in im
7.664 * [backup-simplify]: Simplify re into re
7.664 * [taylor]: Taking taylor expansion of (hypot re im) in im
7.664 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
7.664 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
7.664 * [taylor]: Taking taylor expansion of (* re re) in im
7.664 * [taylor]: Taking taylor expansion of re in im
7.664 * [backup-simplify]: Simplify re into re
7.665 * [taylor]: Taking taylor expansion of re in im
7.665 * [backup-simplify]: Simplify re into re
7.665 * [taylor]: Taking taylor expansion of (* im im) in im
7.665 * [taylor]: Taking taylor expansion of im in im
7.665 * [backup-simplify]: Simplify 0 into 0
7.665 * [backup-simplify]: Simplify 1 into 1
7.665 * [taylor]: Taking taylor expansion of im in im
7.665 * [backup-simplify]: Simplify 0 into 0
7.665 * [backup-simplify]: Simplify 1 into 1
7.665 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.666 * [backup-simplify]: Simplify (* 0 0) into 0
7.666 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
7.666 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.666 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.667 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.668 * [backup-simplify]: Simplify (+ 0 0) into 0
7.668 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.668 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
7.668 * [taylor]: Taking taylor expansion of re in re
7.668 * [backup-simplify]: Simplify 0 into 0
7.668 * [backup-simplify]: Simplify 1 into 1
7.668 * [taylor]: Taking taylor expansion of (hypot re im) in re
7.668 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
7.668 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
7.669 * [taylor]: Taking taylor expansion of (* re re) in re
7.669 * [taylor]: Taking taylor expansion of re in re
7.669 * [backup-simplify]: Simplify 0 into 0
7.669 * [backup-simplify]: Simplify 1 into 1
7.669 * [taylor]: Taking taylor expansion of re in re
7.669 * [backup-simplify]: Simplify 0 into 0
7.669 * [backup-simplify]: Simplify 1 into 1
7.669 * [taylor]: Taking taylor expansion of (* im im) in re
7.669 * [taylor]: Taking taylor expansion of im in re
7.669 * [backup-simplify]: Simplify im into im
7.669 * [taylor]: Taking taylor expansion of im in re
7.669 * [backup-simplify]: Simplify im into im
7.669 * [backup-simplify]: Simplify (* 0 0) into 0
7.669 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.670 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
7.670 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.671 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.672 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.672 * [backup-simplify]: Simplify (+ 0 0) into 0
7.673 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.673 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
7.673 * [taylor]: Taking taylor expansion of re in re
7.673 * [backup-simplify]: Simplify 0 into 0
7.673 * [backup-simplify]: Simplify 1 into 1
7.673 * [taylor]: Taking taylor expansion of (hypot re im) in re
7.673 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
7.673 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
7.673 * [taylor]: Taking taylor expansion of (* re re) in re
7.673 * [taylor]: Taking taylor expansion of re in re
7.673 * [backup-simplify]: Simplify 0 into 0
7.673 * [backup-simplify]: Simplify 1 into 1
7.673 * [taylor]: Taking taylor expansion of re in re
7.673 * [backup-simplify]: Simplify 0 into 0
7.673 * [backup-simplify]: Simplify 1 into 1
7.673 * [taylor]: Taking taylor expansion of (* im im) in re
7.673 * [taylor]: Taking taylor expansion of im in re
7.673 * [backup-simplify]: Simplify im into im
7.673 * [taylor]: Taking taylor expansion of im in re
7.673 * [backup-simplify]: Simplify im into im
7.674 * [backup-simplify]: Simplify (* 0 0) into 0
7.674 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.674 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
7.674 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.675 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.675 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.675 * [backup-simplify]: Simplify (+ 0 0) into 0
7.675 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.676 * [backup-simplify]: Simplify (+ 0 im) into im
7.676 * [taylor]: Taking taylor expansion of im in im
7.676 * [backup-simplify]: Simplify 0 into 0
7.676 * [backup-simplify]: Simplify 1 into 1
7.676 * [backup-simplify]: Simplify 0 into 0
7.676 * [backup-simplify]: Simplify (+ 1 0) into 1
7.676 * [taylor]: Taking taylor expansion of 1 in im
7.676 * [backup-simplify]: Simplify 1 into 1
7.676 * [backup-simplify]: Simplify 1 into 1
7.676 * [backup-simplify]: Simplify 1 into 1
7.677 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
7.678 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
7.678 * [backup-simplify]: Simplify (+ 1 0) into 1
7.679 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
7.679 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
7.679 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
7.679 * [taylor]: Taking taylor expansion of 1/2 in im
7.679 * [backup-simplify]: Simplify 1/2 into 1/2
7.679 * [taylor]: Taking taylor expansion of (/ 1 im) in im
7.679 * [taylor]: Taking taylor expansion of im in im
7.679 * [backup-simplify]: Simplify 0 into 0
7.679 * [backup-simplify]: Simplify 1 into 1
7.680 * [backup-simplify]: Simplify (/ 1 1) into 1
7.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.681 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.682 * [backup-simplify]: Simplify 0 into 0
7.682 * [backup-simplify]: Simplify 0 into 0
7.682 * [backup-simplify]: Simplify 0 into 0
7.683 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
7.684 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
7.685 * [backup-simplify]: Simplify (+ 0 0) into 0
7.685 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
7.685 * [backup-simplify]: Simplify (+ 0 0) into 0
7.685 * [taylor]: Taking taylor expansion of 0 in im
7.685 * [backup-simplify]: Simplify 0 into 0
7.686 * [backup-simplify]: Simplify 0 into 0
7.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.688 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
7.688 * [backup-simplify]: Simplify 0 into 0
7.688 * [backup-simplify]: Simplify 0 into 0
7.688 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
7.688 * [backup-simplify]: Simplify (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) into (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))
7.689 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0
7.689 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
7.689 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
7.689 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
7.689 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
7.689 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
7.689 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.689 * [taylor]: Taking taylor expansion of re in im
7.689 * [backup-simplify]: Simplify re into re
7.689 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.689 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.689 * [taylor]: Taking taylor expansion of re in im
7.689 * [backup-simplify]: Simplify re into re
7.689 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.689 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
7.689 * [taylor]: Taking taylor expansion of (/ 1 im) in im
7.689 * [taylor]: Taking taylor expansion of im in im
7.689 * [backup-simplify]: Simplify 0 into 0
7.689 * [backup-simplify]: Simplify 1 into 1
7.690 * [backup-simplify]: Simplify (/ 1 1) into 1
7.690 * [taylor]: Taking taylor expansion of (/ 1 im) in im
7.690 * [taylor]: Taking taylor expansion of im in im
7.690 * [backup-simplify]: Simplify 0 into 0
7.690 * [backup-simplify]: Simplify 1 into 1
7.691 * [backup-simplify]: Simplify (/ 1 1) into 1
7.691 * [backup-simplify]: Simplify (* 1 1) into 1
7.691 * [backup-simplify]: Simplify (+ 0 1) into 1
7.692 * [backup-simplify]: Simplify (sqrt 1) into 1
7.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.694 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.695 * [backup-simplify]: Simplify (+ 0 0) into 0
7.695 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.695 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.695 * [taylor]: Taking taylor expansion of re in im
7.695 * [backup-simplify]: Simplify re into re
7.695 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.695 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
7.695 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
7.696 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
7.696 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
7.696 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
7.696 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.696 * [taylor]: Taking taylor expansion of re in re
7.696 * [backup-simplify]: Simplify 0 into 0
7.696 * [backup-simplify]: Simplify 1 into 1
7.696 * [backup-simplify]: Simplify (/ 1 1) into 1
7.696 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.696 * [taylor]: Taking taylor expansion of re in re
7.696 * [backup-simplify]: Simplify 0 into 0
7.696 * [backup-simplify]: Simplify 1 into 1
7.697 * [backup-simplify]: Simplify (/ 1 1) into 1
7.697 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
7.697 * [taylor]: Taking taylor expansion of (/ 1 im) in re
7.697 * [taylor]: Taking taylor expansion of im in re
7.697 * [backup-simplify]: Simplify im into im
7.697 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
7.697 * [taylor]: Taking taylor expansion of (/ 1 im) in re
7.697 * [taylor]: Taking taylor expansion of im in re
7.697 * [backup-simplify]: Simplify im into im
7.697 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
7.697 * [backup-simplify]: Simplify (* 1 1) into 1
7.698 * [backup-simplify]: Simplify (+ 1 0) into 1
7.698 * [backup-simplify]: Simplify (sqrt 1) into 1
7.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.708 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.709 * [backup-simplify]: Simplify (+ 0 0) into 0
7.710 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.710 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.710 * [taylor]: Taking taylor expansion of re in re
7.710 * [backup-simplify]: Simplify 0 into 0
7.710 * [backup-simplify]: Simplify 1 into 1
7.710 * [backup-simplify]: Simplify (/ 1 1) into 1
7.710 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
7.710 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
7.710 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
7.710 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
7.710 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
7.710 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.710 * [taylor]: Taking taylor expansion of re in re
7.711 * [backup-simplify]: Simplify 0 into 0
7.711 * [backup-simplify]: Simplify 1 into 1
7.711 * [backup-simplify]: Simplify (/ 1 1) into 1
7.711 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.711 * [taylor]: Taking taylor expansion of re in re
7.711 * [backup-simplify]: Simplify 0 into 0
7.711 * [backup-simplify]: Simplify 1 into 1
7.711 * [backup-simplify]: Simplify (/ 1 1) into 1
7.711 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
7.712 * [taylor]: Taking taylor expansion of (/ 1 im) in re
7.712 * [taylor]: Taking taylor expansion of im in re
7.712 * [backup-simplify]: Simplify im into im
7.712 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
7.712 * [taylor]: Taking taylor expansion of (/ 1 im) in re
7.712 * [taylor]: Taking taylor expansion of im in re
7.712 * [backup-simplify]: Simplify im into im
7.712 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
7.712 * [backup-simplify]: Simplify (* 1 1) into 1
7.713 * [backup-simplify]: Simplify (+ 1 0) into 1
7.713 * [backup-simplify]: Simplify (sqrt 1) into 1
7.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.716 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.717 * [backup-simplify]: Simplify (+ 0 0) into 0
7.718 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.718 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.718 * [taylor]: Taking taylor expansion of re in re
7.718 * [backup-simplify]: Simplify 0 into 0
7.718 * [backup-simplify]: Simplify 1 into 1
7.718 * [backup-simplify]: Simplify (/ 1 1) into 1
7.719 * [backup-simplify]: Simplify (+ 1 1) into 2
7.719 * [taylor]: Taking taylor expansion of 2 in im
7.719 * [backup-simplify]: Simplify 2 into 2
7.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.720 * [backup-simplify]: Simplify (+ 0 0) into 0
7.720 * [taylor]: Taking taylor expansion of 0 in im
7.720 * [backup-simplify]: Simplify 0 into 0
7.720 * [backup-simplify]: Simplify 2 into 2
7.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.724 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
7.724 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.726 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.727 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
7.727 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
7.727 * [taylor]: Taking taylor expansion of 1/2 in im
7.727 * [backup-simplify]: Simplify 1/2 into 1/2
7.727 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.727 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.727 * [taylor]: Taking taylor expansion of im in im
7.727 * [backup-simplify]: Simplify 0 into 0
7.727 * [backup-simplify]: Simplify 1 into 1
7.727 * [backup-simplify]: Simplify (* 1 1) into 1
7.728 * [backup-simplify]: Simplify (/ 1 1) into 1
7.728 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.730 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.730 * [backup-simplify]: Simplify 0 into 0
7.730 * [backup-simplify]: Simplify 0 into 0
7.730 * [backup-simplify]: Simplify 0 into 0
7.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.732 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.732 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
7.732 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
7.732 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
7.733 * [backup-simplify]: Simplify (+ 0 0) into 0
7.733 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.735 * [backup-simplify]: Simplify (+ 0 0) into 0
7.735 * [taylor]: Taking taylor expansion of 0 in im
7.735 * [backup-simplify]: Simplify 0 into 0
7.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.737 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
7.737 * [backup-simplify]: Simplify 0 into 0
7.737 * [backup-simplify]: Simplify 0 into 0
7.737 * [backup-simplify]: Simplify 0 into 0
7.737 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
7.738 * [backup-simplify]: Simplify (+ (/ 1 (- re)) (hypot (/ 1 (- re)) (/ 1 (- im)))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
7.738 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
7.738 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
7.738 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
7.738 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
7.738 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
7.738 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
7.738 * [taylor]: Taking taylor expansion of (/ -1 re) in im
7.738 * [taylor]: Taking taylor expansion of -1 in im
7.738 * [backup-simplify]: Simplify -1 into -1
7.738 * [taylor]: Taking taylor expansion of re in im
7.738 * [backup-simplify]: Simplify re into re
7.738 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
7.738 * [taylor]: Taking taylor expansion of (/ -1 re) in im
7.738 * [taylor]: Taking taylor expansion of -1 in im
7.738 * [backup-simplify]: Simplify -1 into -1
7.738 * [taylor]: Taking taylor expansion of re in im
7.738 * [backup-simplify]: Simplify re into re
7.738 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
7.738 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
7.738 * [taylor]: Taking taylor expansion of (/ -1 im) in im
7.738 * [taylor]: Taking taylor expansion of -1 in im
7.738 * [backup-simplify]: Simplify -1 into -1
7.738 * [taylor]: Taking taylor expansion of im in im
7.738 * [backup-simplify]: Simplify 0 into 0
7.738 * [backup-simplify]: Simplify 1 into 1
7.739 * [backup-simplify]: Simplify (/ -1 1) into -1
7.739 * [taylor]: Taking taylor expansion of (/ -1 im) in im
7.739 * [taylor]: Taking taylor expansion of -1 in im
7.739 * [backup-simplify]: Simplify -1 into -1
7.739 * [taylor]: Taking taylor expansion of im in im
7.739 * [backup-simplify]: Simplify 0 into 0
7.739 * [backup-simplify]: Simplify 1 into 1
7.739 * [backup-simplify]: Simplify (/ -1 1) into -1
7.740 * [backup-simplify]: Simplify (* -1 -1) into 1
7.740 * [backup-simplify]: Simplify (+ 0 1) into 1
7.740 * [backup-simplify]: Simplify (sqrt 1) into 1
7.741 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.743 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
7.743 * [backup-simplify]: Simplify (+ 0 0) into 0
7.743 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.743 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.743 * [taylor]: Taking taylor expansion of re in im
7.743 * [backup-simplify]: Simplify re into re
7.744 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.744 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
7.744 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
7.744 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
7.744 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
7.744 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
7.744 * [taylor]: Taking taylor expansion of (/ -1 re) in re
7.744 * [taylor]: Taking taylor expansion of -1 in re
7.744 * [backup-simplify]: Simplify -1 into -1
7.744 * [taylor]: Taking taylor expansion of re in re
7.744 * [backup-simplify]: Simplify 0 into 0
7.744 * [backup-simplify]: Simplify 1 into 1
7.744 * [backup-simplify]: Simplify (/ -1 1) into -1
7.744 * [taylor]: Taking taylor expansion of (/ -1 re) in re
7.744 * [taylor]: Taking taylor expansion of -1 in re
7.744 * [backup-simplify]: Simplify -1 into -1
7.744 * [taylor]: Taking taylor expansion of re in re
7.744 * [backup-simplify]: Simplify 0 into 0
7.744 * [backup-simplify]: Simplify 1 into 1
7.745 * [backup-simplify]: Simplify (/ -1 1) into -1
7.745 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
7.745 * [taylor]: Taking taylor expansion of (/ -1 im) in re
7.745 * [taylor]: Taking taylor expansion of -1 in re
7.745 * [backup-simplify]: Simplify -1 into -1
7.745 * [taylor]: Taking taylor expansion of im in re
7.745 * [backup-simplify]: Simplify im into im
7.745 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
7.745 * [taylor]: Taking taylor expansion of (/ -1 im) in re
7.745 * [taylor]: Taking taylor expansion of -1 in re
7.745 * [backup-simplify]: Simplify -1 into -1
7.745 * [taylor]: Taking taylor expansion of im in re
7.745 * [backup-simplify]: Simplify im into im
7.745 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
7.745 * [backup-simplify]: Simplify (* -1 -1) into 1
7.746 * [backup-simplify]: Simplify (+ 1 0) into 1
7.746 * [backup-simplify]: Simplify (sqrt 1) into 1
7.747 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.748 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
7.748 * [backup-simplify]: Simplify (+ 0 0) into 0
7.749 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.749 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.749 * [taylor]: Taking taylor expansion of re in re
7.749 * [backup-simplify]: Simplify 0 into 0
7.749 * [backup-simplify]: Simplify 1 into 1
7.750 * [backup-simplify]: Simplify (/ 1 1) into 1
7.750 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
7.750 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
7.750 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
7.750 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
7.750 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
7.750 * [taylor]: Taking taylor expansion of (/ -1 re) in re
7.750 * [taylor]: Taking taylor expansion of -1 in re
7.750 * [backup-simplify]: Simplify -1 into -1
7.750 * [taylor]: Taking taylor expansion of re in re
7.750 * [backup-simplify]: Simplify 0 into 0
7.750 * [backup-simplify]: Simplify 1 into 1
7.750 * [backup-simplify]: Simplify (/ -1 1) into -1
7.751 * [taylor]: Taking taylor expansion of (/ -1 re) in re
7.751 * [taylor]: Taking taylor expansion of -1 in re
7.751 * [backup-simplify]: Simplify -1 into -1
7.751 * [taylor]: Taking taylor expansion of re in re
7.751 * [backup-simplify]: Simplify 0 into 0
7.751 * [backup-simplify]: Simplify 1 into 1
7.751 * [backup-simplify]: Simplify (/ -1 1) into -1
7.751 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
7.751 * [taylor]: Taking taylor expansion of (/ -1 im) in re
7.751 * [taylor]: Taking taylor expansion of -1 in re
7.751 * [backup-simplify]: Simplify -1 into -1
7.751 * [taylor]: Taking taylor expansion of im in re
7.751 * [backup-simplify]: Simplify im into im
7.751 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
7.751 * [taylor]: Taking taylor expansion of (/ -1 im) in re
7.751 * [taylor]: Taking taylor expansion of -1 in re
7.751 * [backup-simplify]: Simplify -1 into -1
7.751 * [taylor]: Taking taylor expansion of im in re
7.751 * [backup-simplify]: Simplify im into im
7.751 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
7.752 * [backup-simplify]: Simplify (* -1 -1) into 1
7.752 * [backup-simplify]: Simplify (+ 1 0) into 1
7.752 * [backup-simplify]: Simplify (sqrt 1) into 1
7.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.754 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.754 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
7.755 * [backup-simplify]: Simplify (+ 0 0) into 0
7.755 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.755 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.755 * [taylor]: Taking taylor expansion of re in re
7.755 * [backup-simplify]: Simplify 0 into 0
7.755 * [backup-simplify]: Simplify 1 into 1
7.756 * [backup-simplify]: Simplify (/ 1 1) into 1
7.756 * [backup-simplify]: Simplify (- 1) into -1
7.756 * [backup-simplify]: Simplify (+ 1 -1) into 0
7.757 * [taylor]: Taking taylor expansion of 0 in im
7.757 * [backup-simplify]: Simplify 0 into 0
7.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.758 * [backup-simplify]: Simplify (- 0) into 0
7.758 * [backup-simplify]: Simplify (+ 0 0) into 0
7.758 * [taylor]: Taking taylor expansion of 0 in im
7.758 * [backup-simplify]: Simplify 0 into 0
7.758 * [backup-simplify]: Simplify 0 into 0
7.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.760 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.760 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
7.761 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
7.761 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.762 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.763 * [backup-simplify]: Simplify (- 0) into 0
7.764 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
7.764 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
7.764 * [taylor]: Taking taylor expansion of 1/2 in im
7.764 * [backup-simplify]: Simplify 1/2 into 1/2
7.764 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.764 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.764 * [taylor]: Taking taylor expansion of im in im
7.764 * [backup-simplify]: Simplify 0 into 0
7.764 * [backup-simplify]: Simplify 1 into 1
7.764 * [backup-simplify]: Simplify (* 1 1) into 1
7.765 * [backup-simplify]: Simplify (/ 1 1) into 1
7.765 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.766 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.767 * [backup-simplify]: Simplify 0 into 0
7.767 * [backup-simplify]: Simplify 0 into 0
7.767 * [backup-simplify]: Simplify 0 into 0
7.768 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.769 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.770 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
7.770 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
7.770 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
7.770 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
7.771 * [backup-simplify]: Simplify (+ 0 0) into 0
7.771 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.773 * [backup-simplify]: Simplify (- 0) into 0
7.786 * [backup-simplify]: Simplify (+ 0 0) into 0
7.786 * [taylor]: Taking taylor expansion of 0 in im
7.786 * [backup-simplify]: Simplify 0 into 0
7.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.790 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
7.790 * [backup-simplify]: Simplify 0 into 0
7.790 * [backup-simplify]: Simplify 0 into 0
7.790 * [backup-simplify]: Simplify 0 into 0
7.790 * * * * [progress]: [ 2 / 4 ] generating series at (2 2)
7.791 * [backup-simplify]: Simplify (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) into (* (sqrt (+ re (hypot re im))) (sqrt 2.0))
7.791 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0
7.791 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im
7.791 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im
7.791 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im
7.791 * [taylor]: Taking taylor expansion of re in im
7.791 * [backup-simplify]: Simplify re into re
7.791 * [taylor]: Taking taylor expansion of (hypot re im) in im
7.791 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
7.791 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
7.791 * [taylor]: Taking taylor expansion of (* re re) in im
7.791 * [taylor]: Taking taylor expansion of re in im
7.791 * [backup-simplify]: Simplify re into re
7.791 * [taylor]: Taking taylor expansion of re in im
7.791 * [backup-simplify]: Simplify re into re
7.791 * [taylor]: Taking taylor expansion of (* im im) in im
7.791 * [taylor]: Taking taylor expansion of im in im
7.791 * [backup-simplify]: Simplify 0 into 0
7.791 * [backup-simplify]: Simplify 1 into 1
7.791 * [taylor]: Taking taylor expansion of im in im
7.792 * [backup-simplify]: Simplify 0 into 0
7.792 * [backup-simplify]: Simplify 1 into 1
7.792 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.792 * [backup-simplify]: Simplify (* 0 0) into 0
7.792 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
7.792 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.793 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.793 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.793 * [backup-simplify]: Simplify (+ 0 0) into 0
7.794 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.794 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
7.794 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
7.794 * [backup-simplify]: Simplify (+ 0 0) into 0
7.794 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
7.794 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.794 * [taylor]: Taking taylor expansion of 2.0 in im
7.794 * [backup-simplify]: Simplify 2.0 into 2.0
7.794 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.795 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.795 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re
7.795 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re
7.795 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
7.795 * [taylor]: Taking taylor expansion of re in re
7.795 * [backup-simplify]: Simplify 0 into 0
7.795 * [backup-simplify]: Simplify 1 into 1
7.795 * [taylor]: Taking taylor expansion of (hypot re im) in re
7.795 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
7.795 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
7.795 * [taylor]: Taking taylor expansion of (* re re) in re
7.795 * [taylor]: Taking taylor expansion of re in re
7.795 * [backup-simplify]: Simplify 0 into 0
7.795 * [backup-simplify]: Simplify 1 into 1
7.795 * [taylor]: Taking taylor expansion of re in re
7.795 * [backup-simplify]: Simplify 0 into 0
7.795 * [backup-simplify]: Simplify 1 into 1
7.795 * [taylor]: Taking taylor expansion of (* im im) in re
7.795 * [taylor]: Taking taylor expansion of im in re
7.795 * [backup-simplify]: Simplify im into im
7.795 * [taylor]: Taking taylor expansion of im in re
7.795 * [backup-simplify]: Simplify im into im
7.796 * [backup-simplify]: Simplify (* 0 0) into 0
7.796 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.796 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
7.796 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.796 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.796 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.796 * [backup-simplify]: Simplify (+ 0 0) into 0
7.797 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.797 * [backup-simplify]: Simplify (+ 0 im) into im
7.797 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
7.797 * [backup-simplify]: Simplify (+ 1 0) into 1
7.797 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
7.797 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.797 * [taylor]: Taking taylor expansion of 2.0 in re
7.797 * [backup-simplify]: Simplify 2.0 into 2.0
7.797 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.798 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.798 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re
7.798 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re
7.798 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
7.798 * [taylor]: Taking taylor expansion of re in re
7.798 * [backup-simplify]: Simplify 0 into 0
7.798 * [backup-simplify]: Simplify 1 into 1
7.798 * [taylor]: Taking taylor expansion of (hypot re im) in re
7.798 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
7.798 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
7.798 * [taylor]: Taking taylor expansion of (* re re) in re
7.798 * [taylor]: Taking taylor expansion of re in re
7.798 * [backup-simplify]: Simplify 0 into 0
7.798 * [backup-simplify]: Simplify 1 into 1
7.798 * [taylor]: Taking taylor expansion of re in re
7.798 * [backup-simplify]: Simplify 0 into 0
7.798 * [backup-simplify]: Simplify 1 into 1
7.798 * [taylor]: Taking taylor expansion of (* im im) in re
7.798 * [taylor]: Taking taylor expansion of im in re
7.798 * [backup-simplify]: Simplify im into im
7.798 * [taylor]: Taking taylor expansion of im in re
7.798 * [backup-simplify]: Simplify im into im
7.799 * [backup-simplify]: Simplify (* 0 0) into 0
7.799 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.799 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
7.799 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.799 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.799 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.800 * [backup-simplify]: Simplify (+ 0 0) into 0
7.800 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.800 * [backup-simplify]: Simplify (+ 0 im) into im
7.800 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
7.801 * [backup-simplify]: Simplify (+ 1 0) into 1
7.801 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
7.801 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.801 * [taylor]: Taking taylor expansion of 2.0 in re
7.801 * [backup-simplify]: Simplify 2.0 into 2.0
7.801 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.802 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.802 * [backup-simplify]: Simplify (* (sqrt im) (sqrt 2.0)) into (* (sqrt 2.0) (sqrt im))
7.802 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
7.802 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.802 * [taylor]: Taking taylor expansion of 2.0 in im
7.802 * [backup-simplify]: Simplify 2.0 into 2.0
7.803 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.803 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.803 * [taylor]: Taking taylor expansion of (sqrt im) in im
7.803 * [taylor]: Taking taylor expansion of im in im
7.803 * [backup-simplify]: Simplify 0 into 0
7.803 * [backup-simplify]: Simplify 1 into 1
7.804 * [backup-simplify]: Simplify (sqrt 0) into 0
7.805 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.806 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
7.806 * [backup-simplify]: Simplify 0 into 0
7.806 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* (* 1/2 (sqrt (/ 1 im))) (sqrt 2.0))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
7.807 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
7.807 * [taylor]: Taking taylor expansion of 1/2 in im
7.807 * [backup-simplify]: Simplify 1/2 into 1/2
7.807 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
7.807 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.807 * [taylor]: Taking taylor expansion of 2.0 in im
7.807 * [backup-simplify]: Simplify 2.0 into 2.0
7.807 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.808 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.808 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
7.808 * [taylor]: Taking taylor expansion of (/ 1 im) in im
7.808 * [taylor]: Taking taylor expansion of im in im
7.808 * [backup-simplify]: Simplify 0 into 0
7.808 * [backup-simplify]: Simplify 1 into 1
7.809 * [backup-simplify]: Simplify (/ 1 1) into 1
7.809 * [backup-simplify]: Simplify (sqrt 0) into 0
7.811 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.812 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
7.813 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
7.818 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
7.819 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
7.821 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
7.823 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
7.824 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.825 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
7.825 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
7.826 * [backup-simplify]: Simplify (+ 1 0) into 1
7.827 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
7.827 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
7.828 * [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))))
7.830 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (+ (* (* 1/2 (sqrt (/ 1 im))) 0) (* (* 1/8 (sqrt (/ 1 (pow im 3)))) (sqrt 2.0)))) into (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))))
7.830 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
7.830 * [taylor]: Taking taylor expansion of 1/8 in im
7.830 * [backup-simplify]: Simplify 1/8 into 1/8
7.830 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
7.830 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.830 * [taylor]: Taking taylor expansion of 2.0 in im
7.830 * [backup-simplify]: Simplify 2.0 into 2.0
7.831 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.832 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.833 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
7.833 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
7.833 * [taylor]: Taking taylor expansion of (pow im 3) in im
7.833 * [taylor]: Taking taylor expansion of im in im
7.833 * [backup-simplify]: Simplify 0 into 0
7.833 * [backup-simplify]: Simplify 1 into 1
7.833 * [backup-simplify]: Simplify (* 1 1) into 1
7.834 * [backup-simplify]: Simplify (* 1 1) into 1
7.834 * [backup-simplify]: Simplify (/ 1 1) into 1
7.834 * [backup-simplify]: Simplify (sqrt 0) into 0
7.836 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.837 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.837 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.842 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
7.844 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.848 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
7.851 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
7.851 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
7.858 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
7.859 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
7.865 * [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)))))))
7.866 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) into (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0))
7.866 * [approximate]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0
7.866 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im
7.866 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im
7.866 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
7.866 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
7.866 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
7.866 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
7.866 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
7.866 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.866 * [taylor]: Taking taylor expansion of re in im
7.866 * [backup-simplify]: Simplify re into re
7.866 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.866 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.867 * [taylor]: Taking taylor expansion of re in im
7.867 * [backup-simplify]: Simplify re into re
7.867 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.867 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
7.867 * [taylor]: Taking taylor expansion of (/ 1 im) in im
7.867 * [taylor]: Taking taylor expansion of im in im
7.867 * [backup-simplify]: Simplify 0 into 0
7.867 * [backup-simplify]: Simplify 1 into 1
7.867 * [backup-simplify]: Simplify (/ 1 1) into 1
7.867 * [taylor]: Taking taylor expansion of (/ 1 im) in im
7.867 * [taylor]: Taking taylor expansion of im in im
7.867 * [backup-simplify]: Simplify 0 into 0
7.867 * [backup-simplify]: Simplify 1 into 1
7.868 * [backup-simplify]: Simplify (/ 1 1) into 1
7.868 * [backup-simplify]: Simplify (* 1 1) into 1
7.869 * [backup-simplify]: Simplify (+ 0 1) into 1
7.869 * [backup-simplify]: Simplify (sqrt 1) into 1
7.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.872 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.872 * [backup-simplify]: Simplify (+ 0 0) into 0
7.873 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.873 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.873 * [taylor]: Taking taylor expansion of re in im
7.873 * [backup-simplify]: Simplify re into re
7.873 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.873 * [backup-simplify]: Simplify (+ 1 0) into 1
7.874 * [backup-simplify]: Simplify (sqrt 0) into 0
7.875 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.875 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.875 * [taylor]: Taking taylor expansion of 2.0 in im
7.875 * [backup-simplify]: Simplify 2.0 into 2.0
7.876 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.876 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.876 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re
7.877 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re
7.877 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
7.877 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
7.877 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
7.877 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
7.877 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
7.877 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.877 * [taylor]: Taking taylor expansion of re in re
7.877 * [backup-simplify]: Simplify 0 into 0
7.877 * [backup-simplify]: Simplify 1 into 1
7.878 * [backup-simplify]: Simplify (/ 1 1) into 1
7.878 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.878 * [taylor]: Taking taylor expansion of re in re
7.878 * [backup-simplify]: Simplify 0 into 0
7.878 * [backup-simplify]: Simplify 1 into 1
7.878 * [backup-simplify]: Simplify (/ 1 1) into 1
7.878 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
7.878 * [taylor]: Taking taylor expansion of (/ 1 im) in re
7.878 * [taylor]: Taking taylor expansion of im in re
7.878 * [backup-simplify]: Simplify im into im
7.878 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
7.878 * [taylor]: Taking taylor expansion of (/ 1 im) in re
7.878 * [taylor]: Taking taylor expansion of im in re
7.878 * [backup-simplify]: Simplify im into im
7.878 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
7.879 * [backup-simplify]: Simplify (* 1 1) into 1
7.879 * [backup-simplify]: Simplify (+ 1 0) into 1
7.880 * [backup-simplify]: Simplify (sqrt 1) into 1
7.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.882 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.882 * [backup-simplify]: Simplify (+ 0 0) into 0
7.883 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.883 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.883 * [taylor]: Taking taylor expansion of re in re
7.883 * [backup-simplify]: Simplify 0 into 0
7.883 * [backup-simplify]: Simplify 1 into 1
7.883 * [backup-simplify]: Simplify (/ 1 1) into 1
7.884 * [backup-simplify]: Simplify (+ 1 1) into 2
7.884 * [backup-simplify]: Simplify (sqrt 0) into 0
7.885 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
7.886 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.886 * [taylor]: Taking taylor expansion of 2.0 in re
7.886 * [backup-simplify]: Simplify 2.0 into 2.0
7.886 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.887 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.887 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re
7.887 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re
7.887 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
7.887 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
7.887 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
7.887 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
7.887 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
7.887 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.887 * [taylor]: Taking taylor expansion of re in re
7.887 * [backup-simplify]: Simplify 0 into 0
7.887 * [backup-simplify]: Simplify 1 into 1
7.888 * [backup-simplify]: Simplify (/ 1 1) into 1
7.888 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.888 * [taylor]: Taking taylor expansion of re in re
7.888 * [backup-simplify]: Simplify 0 into 0
7.888 * [backup-simplify]: Simplify 1 into 1
7.888 * [backup-simplify]: Simplify (/ 1 1) into 1
7.888 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
7.888 * [taylor]: Taking taylor expansion of (/ 1 im) in re
7.888 * [taylor]: Taking taylor expansion of im in re
7.888 * [backup-simplify]: Simplify im into im
7.888 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
7.889 * [taylor]: Taking taylor expansion of (/ 1 im) in re
7.889 * [taylor]: Taking taylor expansion of im in re
7.889 * [backup-simplify]: Simplify im into im
7.889 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
7.889 * [backup-simplify]: Simplify (* 1 1) into 1
7.890 * [backup-simplify]: Simplify (+ 1 0) into 1
7.890 * [backup-simplify]: Simplify (sqrt 1) into 1
7.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.892 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.893 * [backup-simplify]: Simplify (+ 0 0) into 0
7.894 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.894 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.894 * [taylor]: Taking taylor expansion of re in re
7.894 * [backup-simplify]: Simplify 0 into 0
7.894 * [backup-simplify]: Simplify 1 into 1
7.895 * [backup-simplify]: Simplify (/ 1 1) into 1
7.895 * [backup-simplify]: Simplify (+ 1 1) into 2
7.896 * [backup-simplify]: Simplify (sqrt 0) into 0
7.897 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
7.897 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
7.897 * [taylor]: Taking taylor expansion of 2.0 in re
7.897 * [backup-simplify]: Simplify 2.0 into 2.0
7.898 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.899 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.900 * [backup-simplify]: Simplify (* 0 (sqrt 2.0)) into 0
7.900 * [taylor]: Taking taylor expansion of 0 in im
7.900 * [backup-simplify]: Simplify 0 into 0
7.911 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
7.911 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
7.911 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
7.911 * [taylor]: Taking taylor expansion of +nan.0 in im
7.911 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.911 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.911 * [taylor]: Taking taylor expansion of 2.0 in im
7.911 * [backup-simplify]: Simplify 2.0 into 2.0
7.911 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.912 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.912 * [backup-simplify]: Simplify 0 into 0
7.913 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.914 * [backup-simplify]: Simplify (+ 0 0) into 0
7.917 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
7.920 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
7.920 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
7.920 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
7.920 * [taylor]: Taking taylor expansion of +nan.0 in im
7.920 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.920 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.920 * [taylor]: Taking taylor expansion of 2.0 in im
7.920 * [backup-simplify]: Simplify 2.0 into 2.0
7.920 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.921 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.922 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
7.923 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
7.925 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
7.925 * [backup-simplify]: Simplify 0 into 0
7.926 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.929 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
7.929 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.930 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.931 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
7.933 * [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))
7.935 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) (sqrt 2.0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))))
7.935 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
7.935 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
7.935 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
7.935 * [taylor]: Taking taylor expansion of +nan.0 in im
7.935 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.935 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
7.935 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.935 * [taylor]: Taking taylor expansion of 2.0 in im
7.935 * [backup-simplify]: Simplify 2.0 into 2.0
7.935 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.936 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.936 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.936 * [taylor]: Taking taylor expansion of im in im
7.936 * [backup-simplify]: Simplify 0 into 0
7.936 * [backup-simplify]: Simplify 1 into 1
7.937 * [backup-simplify]: Simplify (* 1 1) into 1
7.937 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.937 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
7.937 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
7.937 * [taylor]: Taking taylor expansion of +nan.0 in im
7.937 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.938 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.938 * [taylor]: Taking taylor expansion of 2.0 in im
7.938 * [backup-simplify]: Simplify 2.0 into 2.0
7.938 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.939 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.939 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.940 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
7.940 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
7.940 * [backup-simplify]: Simplify (+ 0 0) into 0
7.941 * [backup-simplify]: Simplify (- 0) into 0
7.941 * [backup-simplify]: Simplify 0 into 0
7.942 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
7.943 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
7.946 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
7.947 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
7.947 * [backup-simplify]: Simplify (- 0) into 0
7.947 * [backup-simplify]: Simplify 0 into 0
7.947 * [backup-simplify]: Simplify 0 into 0
7.949 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.957 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
7.957 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
7.957 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
7.958 * [backup-simplify]: Simplify (+ 0 0) into 0
7.958 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.960 * [backup-simplify]: Simplify (+ 0 0) into 0
7.963 * [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)))
7.966 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) (sqrt 2.0)))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))))
7.966 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
7.966 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
7.966 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
7.966 * [taylor]: Taking taylor expansion of +nan.0 in im
7.966 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.966 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
7.966 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.966 * [taylor]: Taking taylor expansion of 2.0 in im
7.966 * [backup-simplify]: Simplify 2.0 into 2.0
7.967 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.967 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.967 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.967 * [taylor]: Taking taylor expansion of im in im
7.967 * [backup-simplify]: Simplify 0 into 0
7.967 * [backup-simplify]: Simplify 1 into 1
7.968 * [backup-simplify]: Simplify (* 1 1) into 1
7.969 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
7.969 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
7.969 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
7.969 * [taylor]: Taking taylor expansion of +nan.0 in im
7.969 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.969 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.969 * [taylor]: Taking taylor expansion of 2.0 in im
7.969 * [backup-simplify]: Simplify 2.0 into 2.0
7.969 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.970 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.971 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.972 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
7.973 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
7.973 * [backup-simplify]: Simplify (+ 0 0) into 0
7.974 * [backup-simplify]: Simplify (- 0) into 0
7.974 * [backup-simplify]: Simplify 0 into 0
7.975 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.982 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.983 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
7.984 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
7.986 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
7.989 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
7.991 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
7.993 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
7.998 * [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) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))))
7.999 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 (- re)) (hypot (/ 1 (- re)) (/ 1 (- im))))) (sqrt 2.0)) into (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))
7.999 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0
7.999 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im
7.999 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
7.999 * [taylor]: Taking taylor expansion of 2.0 in im
7.999 * [backup-simplify]: Simplify 2.0 into 2.0
8.000 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.000 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.000 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im
8.000 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
8.000 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
8.001 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
8.001 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
8.001 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
8.001 * [taylor]: Taking taylor expansion of (/ -1 re) in im
8.001 * [taylor]: Taking taylor expansion of -1 in im
8.001 * [backup-simplify]: Simplify -1 into -1
8.001 * [taylor]: Taking taylor expansion of re in im
8.001 * [backup-simplify]: Simplify re into re
8.001 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
8.001 * [taylor]: Taking taylor expansion of (/ -1 re) in im
8.001 * [taylor]: Taking taylor expansion of -1 in im
8.001 * [backup-simplify]: Simplify -1 into -1
8.001 * [taylor]: Taking taylor expansion of re in im
8.001 * [backup-simplify]: Simplify re into re
8.001 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
8.001 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
8.001 * [taylor]: Taking taylor expansion of (/ -1 im) in im
8.001 * [taylor]: Taking taylor expansion of -1 in im
8.001 * [backup-simplify]: Simplify -1 into -1
8.001 * [taylor]: Taking taylor expansion of im in im
8.002 * [backup-simplify]: Simplify 0 into 0
8.002 * [backup-simplify]: Simplify 1 into 1
8.002 * [backup-simplify]: Simplify (/ -1 1) into -1
8.002 * [taylor]: Taking taylor expansion of (/ -1 im) in im
8.002 * [taylor]: Taking taylor expansion of -1 in im
8.002 * [backup-simplify]: Simplify -1 into -1
8.002 * [taylor]: Taking taylor expansion of im in im
8.002 * [backup-simplify]: Simplify 0 into 0
8.002 * [backup-simplify]: Simplify 1 into 1
8.003 * [backup-simplify]: Simplify (/ -1 1) into -1
8.003 * [backup-simplify]: Simplify (* -1 -1) into 1
8.004 * [backup-simplify]: Simplify (+ 0 1) into 1
8.004 * [backup-simplify]: Simplify (sqrt 1) into 1
8.005 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.006 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.007 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
8.007 * [backup-simplify]: Simplify (+ 0 0) into 0
8.008 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.008 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.008 * [taylor]: Taking taylor expansion of re in im
8.008 * [backup-simplify]: Simplify re into re
8.008 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.009 * [backup-simplify]: Simplify (+ 1 0) into 1
8.009 * [backup-simplify]: Simplify (sqrt 0) into 0
8.010 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.011 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re
8.011 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.011 * [taylor]: Taking taylor expansion of 2.0 in re
8.011 * [backup-simplify]: Simplify 2.0 into 2.0
8.011 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.012 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.012 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
8.012 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
8.012 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
8.012 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
8.012 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
8.012 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
8.012 * [taylor]: Taking taylor expansion of (/ -1 re) in re
8.012 * [taylor]: Taking taylor expansion of -1 in re
8.012 * [backup-simplify]: Simplify -1 into -1
8.012 * [taylor]: Taking taylor expansion of re in re
8.012 * [backup-simplify]: Simplify 0 into 0
8.012 * [backup-simplify]: Simplify 1 into 1
8.013 * [backup-simplify]: Simplify (/ -1 1) into -1
8.013 * [taylor]: Taking taylor expansion of (/ -1 re) in re
8.013 * [taylor]: Taking taylor expansion of -1 in re
8.013 * [backup-simplify]: Simplify -1 into -1
8.013 * [taylor]: Taking taylor expansion of re in re
8.013 * [backup-simplify]: Simplify 0 into 0
8.013 * [backup-simplify]: Simplify 1 into 1
8.014 * [backup-simplify]: Simplify (/ -1 1) into -1
8.014 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
8.014 * [taylor]: Taking taylor expansion of (/ -1 im) in re
8.014 * [taylor]: Taking taylor expansion of -1 in re
8.014 * [backup-simplify]: Simplify -1 into -1
8.014 * [taylor]: Taking taylor expansion of im in re
8.014 * [backup-simplify]: Simplify im into im
8.014 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
8.014 * [taylor]: Taking taylor expansion of (/ -1 im) in re
8.014 * [taylor]: Taking taylor expansion of -1 in re
8.014 * [backup-simplify]: Simplify -1 into -1
8.014 * [taylor]: Taking taylor expansion of im in re
8.014 * [backup-simplify]: Simplify im into im
8.014 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
8.014 * [backup-simplify]: Simplify (* -1 -1) into 1
8.015 * [backup-simplify]: Simplify (+ 1 0) into 1
8.015 * [backup-simplify]: Simplify (sqrt 1) into 1
8.016 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.017 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.018 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
8.018 * [backup-simplify]: Simplify (+ 0 0) into 0
8.019 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.019 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.019 * [taylor]: Taking taylor expansion of re in re
8.019 * [backup-simplify]: Simplify 0 into 0
8.019 * [backup-simplify]: Simplify 1 into 1
8.020 * [backup-simplify]: Simplify (/ 1 1) into 1
8.020 * [backup-simplify]: Simplify (- 1) into -1
8.021 * [backup-simplify]: Simplify (+ 1 -1) into 0
8.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.022 * [backup-simplify]: Simplify (- 0) into 0
8.022 * [backup-simplify]: Simplify (+ 0 0) into 0
8.023 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.024 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.025 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
8.026 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
8.026 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.028 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.029 * [backup-simplify]: Simplify (- 0) into 0
8.029 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
8.030 * [backup-simplify]: Simplify (sqrt 0) into 0
8.030 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
8.030 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re
8.030 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.030 * [taylor]: Taking taylor expansion of 2.0 in re
8.030 * [backup-simplify]: Simplify 2.0 into 2.0
8.031 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.031 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.031 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
8.032 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
8.032 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
8.032 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
8.032 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
8.032 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
8.032 * [taylor]: Taking taylor expansion of (/ -1 re) in re
8.032 * [taylor]: Taking taylor expansion of -1 in re
8.032 * [backup-simplify]: Simplify -1 into -1
8.032 * [taylor]: Taking taylor expansion of re in re
8.032 * [backup-simplify]: Simplify 0 into 0
8.032 * [backup-simplify]: Simplify 1 into 1
8.032 * [backup-simplify]: Simplify (/ -1 1) into -1
8.033 * [taylor]: Taking taylor expansion of (/ -1 re) in re
8.033 * [taylor]: Taking taylor expansion of -1 in re
8.033 * [backup-simplify]: Simplify -1 into -1
8.033 * [taylor]: Taking taylor expansion of re in re
8.033 * [backup-simplify]: Simplify 0 into 0
8.033 * [backup-simplify]: Simplify 1 into 1
8.033 * [backup-simplify]: Simplify (/ -1 1) into -1
8.033 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
8.033 * [taylor]: Taking taylor expansion of (/ -1 im) in re
8.033 * [taylor]: Taking taylor expansion of -1 in re
8.033 * [backup-simplify]: Simplify -1 into -1
8.033 * [taylor]: Taking taylor expansion of im in re
8.033 * [backup-simplify]: Simplify im into im
8.033 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
8.033 * [taylor]: Taking taylor expansion of (/ -1 im) in re
8.033 * [taylor]: Taking taylor expansion of -1 in re
8.033 * [backup-simplify]: Simplify -1 into -1
8.033 * [taylor]: Taking taylor expansion of im in re
8.033 * [backup-simplify]: Simplify im into im
8.034 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
8.034 * [backup-simplify]: Simplify (* -1 -1) into 1
8.034 * [backup-simplify]: Simplify (+ 1 0) into 1
8.035 * [backup-simplify]: Simplify (sqrt 1) into 1
8.035 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.036 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.037 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
8.037 * [backup-simplify]: Simplify (+ 0 0) into 0
8.038 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.038 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.038 * [taylor]: Taking taylor expansion of re in re
8.038 * [backup-simplify]: Simplify 0 into 0
8.038 * [backup-simplify]: Simplify 1 into 1
8.038 * [backup-simplify]: Simplify (/ 1 1) into 1
8.039 * [backup-simplify]: Simplify (- 1) into -1
8.039 * [backup-simplify]: Simplify (+ 1 -1) into 0
8.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.040 * [backup-simplify]: Simplify (- 0) into 0
8.040 * [backup-simplify]: Simplify (+ 0 0) into 0
8.041 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.042 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.043 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
8.043 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
8.044 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.045 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.047 * [backup-simplify]: Simplify (- 0) into 0
8.047 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
8.047 * [backup-simplify]: Simplify (sqrt 0) into 0
8.048 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
8.049 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
8.049 * [taylor]: Taking taylor expansion of 0 in im
8.049 * [backup-simplify]: Simplify 0 into 0
8.050 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
8.050 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
8.050 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
8.050 * [taylor]: Taking taylor expansion of +nan.0 in im
8.050 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.050 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
8.050 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
8.050 * [taylor]: Taking taylor expansion of 2.0 in im
8.050 * [backup-simplify]: Simplify 2.0 into 2.0
8.050 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.051 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.051 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.051 * [taylor]: Taking taylor expansion of im in im
8.051 * [backup-simplify]: Simplify 0 into 0
8.051 * [backup-simplify]: Simplify 1 into 1
8.052 * [backup-simplify]: Simplify (* 1 1) into 1
8.052 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
8.053 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
8.055 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
8.055 * [backup-simplify]: Simplify (- 0) into 0
8.055 * [backup-simplify]: Simplify 0 into 0
8.056 * [backup-simplify]: Simplify 0 into 0
8.057 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.059 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
8.059 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
8.059 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
8.059 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
8.060 * [backup-simplify]: Simplify (+ 0 0) into 0
8.060 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.062 * [backup-simplify]: Simplify (- 0) into 0
8.062 * [backup-simplify]: Simplify (+ 0 0) into 0
8.063 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
8.064 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
8.065 * [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))))
8.065 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
8.065 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
8.065 * [taylor]: Taking taylor expansion of +nan.0 in im
8.065 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.065 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
8.065 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
8.065 * [taylor]: Taking taylor expansion of 2.0 in im
8.065 * [backup-simplify]: Simplify 2.0 into 2.0
8.065 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.066 * [taylor]: Taking taylor expansion of (pow im 4) in im
8.066 * [taylor]: Taking taylor expansion of im in im
8.066 * [backup-simplify]: Simplify 0 into 0
8.066 * [backup-simplify]: Simplify 1 into 1
8.066 * [backup-simplify]: Simplify (* 1 1) into 1
8.066 * [backup-simplify]: Simplify (* 1 1) into 1
8.067 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
8.068 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
8.070 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
8.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.079 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.080 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
8.080 * [backup-simplify]: Simplify (- 0) into 0
8.080 * [backup-simplify]: Simplify 0 into 0
8.081 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
8.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.085 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
8.085 * [backup-simplify]: Simplify (- 0) into 0
8.086 * [backup-simplify]: Simplify 0 into 0
8.086 * [backup-simplify]: Simplify 0 into 0
8.087 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.088 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.089 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
8.089 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
8.089 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
8.089 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0
8.090 * [backup-simplify]: Simplify (+ 0 0) into 0
8.091 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
8.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.092 * [backup-simplify]: Simplify (- 0) into 0
8.092 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
8.093 * [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 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))
8.094 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.095 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (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 6))))))
8.096 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
8.096 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
8.096 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
8.096 * [taylor]: Taking taylor expansion of +nan.0 in im
8.096 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.096 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
8.096 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
8.096 * [taylor]: Taking taylor expansion of 2.0 in im
8.096 * [backup-simplify]: Simplify 2.0 into 2.0
8.096 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.097 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.097 * [taylor]: Taking taylor expansion of (pow im 4) in im
8.097 * [taylor]: Taking taylor expansion of im in im
8.097 * [backup-simplify]: Simplify 0 into 0
8.097 * [backup-simplify]: Simplify 1 into 1
8.097 * [backup-simplify]: Simplify (* 1 1) into 1
8.098 * [backup-simplify]: Simplify (* 1 1) into 1
8.098 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
8.098 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
8.099 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
8.099 * [taylor]: Taking taylor expansion of +nan.0 in im
8.099 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.099 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
8.099 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
8.099 * [taylor]: Taking taylor expansion of 2.0 in im
8.099 * [backup-simplify]: Simplify 2.0 into 2.0
8.099 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.100 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.100 * [taylor]: Taking taylor expansion of (pow im 6) in im
8.100 * [taylor]: Taking taylor expansion of im in im
8.100 * [backup-simplify]: Simplify 0 into 0
8.100 * [backup-simplify]: Simplify 1 into 1
8.100 * [backup-simplify]: Simplify (* 1 1) into 1
8.100 * [backup-simplify]: Simplify (* 1 1) into 1
8.101 * [backup-simplify]: Simplify (* 1 1) into 1
8.102 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
8.103 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
8.104 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
8.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.114 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.116 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
8.117 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
8.119 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.120 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.122 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
8.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
8.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
8.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
8.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
8.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.140 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.140 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.141 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
8.142 * [backup-simplify]: Simplify (- 0) into 0
8.142 * [backup-simplify]: Simplify (+ 0 0) into 0
8.142 * [backup-simplify]: Simplify (- 0) into 0
8.142 * [backup-simplify]: Simplify 0 into 0
8.142 * [backup-simplify]: Simplify 0 into 0
8.142 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2)
8.143 * [backup-simplify]: Simplify (hypot re im) into (hypot re im)
8.143 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
8.143 * [taylor]: Taking taylor expansion of (hypot re im) in im
8.143 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
8.143 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
8.143 * [taylor]: Taking taylor expansion of (* re re) in im
8.143 * [taylor]: Taking taylor expansion of re in im
8.143 * [backup-simplify]: Simplify re into re
8.143 * [taylor]: Taking taylor expansion of re in im
8.143 * [backup-simplify]: Simplify re into re
8.143 * [taylor]: Taking taylor expansion of (* im im) in im
8.143 * [taylor]: Taking taylor expansion of im in im
8.143 * [backup-simplify]: Simplify 0 into 0
8.143 * [backup-simplify]: Simplify 1 into 1
8.143 * [taylor]: Taking taylor expansion of im in im
8.143 * [backup-simplify]: Simplify 0 into 0
8.143 * [backup-simplify]: Simplify 1 into 1
8.143 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.143 * [backup-simplify]: Simplify (* 0 0) into 0
8.143 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
8.143 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
8.144 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.144 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.145 * [backup-simplify]: Simplify (+ 0 0) into 0
8.145 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
8.145 * [taylor]: Taking taylor expansion of (hypot re im) in re
8.145 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
8.146 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
8.146 * [taylor]: Taking taylor expansion of (* re re) in re
8.146 * [taylor]: Taking taylor expansion of re in re
8.146 * [backup-simplify]: Simplify 0 into 0
8.146 * [backup-simplify]: Simplify 1 into 1
8.146 * [taylor]: Taking taylor expansion of re in re
8.146 * [backup-simplify]: Simplify 0 into 0
8.146 * [backup-simplify]: Simplify 1 into 1
8.146 * [taylor]: Taking taylor expansion of (* im im) in re
8.146 * [taylor]: Taking taylor expansion of im in re
8.146 * [backup-simplify]: Simplify im into im
8.146 * [taylor]: Taking taylor expansion of im in re
8.146 * [backup-simplify]: Simplify im into im
8.147 * [backup-simplify]: Simplify (* 0 0) into 0
8.147 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.147 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.147 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.149 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.149 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.150 * [backup-simplify]: Simplify (+ 0 0) into 0
8.150 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.150 * [taylor]: Taking taylor expansion of (hypot re im) in re
8.150 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
8.150 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
8.150 * [taylor]: Taking taylor expansion of (* re re) in re
8.150 * [taylor]: Taking taylor expansion of re in re
8.150 * [backup-simplify]: Simplify 0 into 0
8.150 * [backup-simplify]: Simplify 1 into 1
8.150 * [taylor]: Taking taylor expansion of re in re
8.150 * [backup-simplify]: Simplify 0 into 0
8.150 * [backup-simplify]: Simplify 1 into 1
8.150 * [taylor]: Taking taylor expansion of (* im im) in re
8.150 * [taylor]: Taking taylor expansion of im in re
8.150 * [backup-simplify]: Simplify im into im
8.150 * [taylor]: Taking taylor expansion of im in re
8.150 * [backup-simplify]: Simplify im into im
8.151 * [backup-simplify]: Simplify (* 0 0) into 0
8.151 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.151 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.151 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.152 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.152 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.152 * [backup-simplify]: Simplify (+ 0 0) into 0
8.152 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.153 * [taylor]: Taking taylor expansion of im in im
8.153 * [backup-simplify]: Simplify 0 into 0
8.153 * [backup-simplify]: Simplify 1 into 1
8.153 * [backup-simplify]: Simplify 0 into 0
8.153 * [taylor]: Taking taylor expansion of 0 in im
8.153 * [backup-simplify]: Simplify 0 into 0
8.153 * [backup-simplify]: Simplify 0 into 0
8.153 * [backup-simplify]: Simplify 1 into 1
8.154 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
8.154 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
8.154 * [backup-simplify]: Simplify (+ 1 0) into 1
8.155 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
8.155 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
8.155 * [taylor]: Taking taylor expansion of 1/2 in im
8.155 * [backup-simplify]: Simplify 1/2 into 1/2
8.155 * [taylor]: Taking taylor expansion of im in im
8.155 * [backup-simplify]: Simplify 0 into 0
8.155 * [backup-simplify]: Simplify 1 into 1
8.156 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.157 * [backup-simplify]: Simplify 0 into 0
8.157 * [backup-simplify]: Simplify 0 into 0
8.157 * [backup-simplify]: Simplify 0 into 0
8.158 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
8.159 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
8.159 * [backup-simplify]: Simplify (+ 0 0) into 0
8.159 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
8.159 * [taylor]: Taking taylor expansion of 0 in im
8.159 * [backup-simplify]: Simplify 0 into 0
8.159 * [backup-simplify]: Simplify 0 into 0
8.160 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.161 * [backup-simplify]: Simplify 0 into 0
8.161 * [backup-simplify]: Simplify 0 into 0
8.161 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
8.161 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
8.161 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
8.161 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
8.161 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
8.161 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
8.161 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
8.161 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.161 * [taylor]: Taking taylor expansion of re in im
8.161 * [backup-simplify]: Simplify re into re
8.161 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.161 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.161 * [taylor]: Taking taylor expansion of re in im
8.161 * [backup-simplify]: Simplify re into re
8.161 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.162 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
8.162 * [taylor]: Taking taylor expansion of (/ 1 im) in im
8.162 * [taylor]: Taking taylor expansion of im in im
8.162 * [backup-simplify]: Simplify 0 into 0
8.162 * [backup-simplify]: Simplify 1 into 1
8.162 * [backup-simplify]: Simplify (/ 1 1) into 1
8.162 * [taylor]: Taking taylor expansion of (/ 1 im) in im
8.162 * [taylor]: Taking taylor expansion of im in im
8.162 * [backup-simplify]: Simplify 0 into 0
8.162 * [backup-simplify]: Simplify 1 into 1
8.163 * [backup-simplify]: Simplify (/ 1 1) into 1
8.163 * [backup-simplify]: Simplify (* 1 1) into 1
8.163 * [backup-simplify]: Simplify (+ 0 1) into 1
8.164 * [backup-simplify]: Simplify (sqrt 1) into 1
8.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.166 * [backup-simplify]: Simplify (+ 0 0) into 0
8.167 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.167 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
8.167 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
8.167 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
8.167 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
8.167 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.167 * [taylor]: Taking taylor expansion of re in re
8.168 * [backup-simplify]: Simplify 0 into 0
8.168 * [backup-simplify]: Simplify 1 into 1
8.168 * [backup-simplify]: Simplify (/ 1 1) into 1
8.168 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.168 * [taylor]: Taking taylor expansion of re in re
8.168 * [backup-simplify]: Simplify 0 into 0
8.168 * [backup-simplify]: Simplify 1 into 1
8.168 * [backup-simplify]: Simplify (/ 1 1) into 1
8.169 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
8.169 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.169 * [taylor]: Taking taylor expansion of im in re
8.169 * [backup-simplify]: Simplify im into im
8.169 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.169 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.169 * [taylor]: Taking taylor expansion of im in re
8.169 * [backup-simplify]: Simplify im into im
8.169 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.169 * [backup-simplify]: Simplify (* 1 1) into 1
8.170 * [backup-simplify]: Simplify (+ 1 0) into 1
8.170 * [backup-simplify]: Simplify (sqrt 1) into 1
8.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.173 * [backup-simplify]: Simplify (+ 0 0) into 0
8.173 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.173 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
8.174 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
8.174 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
8.174 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
8.174 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.174 * [taylor]: Taking taylor expansion of re in re
8.174 * [backup-simplify]: Simplify 0 into 0
8.174 * [backup-simplify]: Simplify 1 into 1
8.174 * [backup-simplify]: Simplify (/ 1 1) into 1
8.174 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.174 * [taylor]: Taking taylor expansion of re in re
8.174 * [backup-simplify]: Simplify 0 into 0
8.174 * [backup-simplify]: Simplify 1 into 1
8.175 * [backup-simplify]: Simplify (/ 1 1) into 1
8.175 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
8.175 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.175 * [taylor]: Taking taylor expansion of im in re
8.175 * [backup-simplify]: Simplify im into im
8.175 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.175 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.175 * [taylor]: Taking taylor expansion of im in re
8.175 * [backup-simplify]: Simplify im into im
8.175 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.175 * [backup-simplify]: Simplify (* 1 1) into 1
8.176 * [backup-simplify]: Simplify (+ 1 0) into 1
8.176 * [backup-simplify]: Simplify (sqrt 1) into 1
8.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.179 * [backup-simplify]: Simplify (+ 0 0) into 0
8.179 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.179 * [taylor]: Taking taylor expansion of 1 in im
8.179 * [backup-simplify]: Simplify 1 into 1
8.179 * [taylor]: Taking taylor expansion of 0 in im
8.180 * [backup-simplify]: Simplify 0 into 0
8.180 * [backup-simplify]: Simplify 1 into 1
8.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.183 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
8.183 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.184 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.184 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
8.184 * [taylor]: Taking taylor expansion of 1/2 in im
8.184 * [backup-simplify]: Simplify 1/2 into 1/2
8.184 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.184 * [taylor]: Taking taylor expansion of im in im
8.184 * [backup-simplify]: Simplify 0 into 0
8.184 * [backup-simplify]: Simplify 1 into 1
8.185 * [backup-simplify]: Simplify (* 1 1) into 1
8.185 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.187 * [backup-simplify]: Simplify 0 into 0
8.187 * [backup-simplify]: Simplify 0 into 0
8.187 * [backup-simplify]: Simplify 0 into 0
8.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.190 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
8.191 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
8.191 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
8.191 * [backup-simplify]: Simplify (+ 0 0) into 0
8.192 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.192 * [taylor]: Taking taylor expansion of 0 in im
8.192 * [backup-simplify]: Simplify 0 into 0
8.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.194 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.194 * [backup-simplify]: Simplify 0 into 0
8.194 * [backup-simplify]: Simplify 0 into 0
8.194 * [backup-simplify]: Simplify 0 into 0
8.194 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
8.194 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
8.194 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
8.194 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
8.195 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
8.195 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
8.195 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
8.195 * [taylor]: Taking taylor expansion of (/ -1 re) in im
8.195 * [taylor]: Taking taylor expansion of -1 in im
8.195 * [backup-simplify]: Simplify -1 into -1
8.195 * [taylor]: Taking taylor expansion of re in im
8.195 * [backup-simplify]: Simplify re into re
8.195 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
8.195 * [taylor]: Taking taylor expansion of (/ -1 re) in im
8.195 * [taylor]: Taking taylor expansion of -1 in im
8.195 * [backup-simplify]: Simplify -1 into -1
8.195 * [taylor]: Taking taylor expansion of re in im
8.195 * [backup-simplify]: Simplify re into re
8.195 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
8.195 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
8.195 * [taylor]: Taking taylor expansion of (/ -1 im) in im
8.195 * [taylor]: Taking taylor expansion of -1 in im
8.195 * [backup-simplify]: Simplify -1 into -1
8.195 * [taylor]: Taking taylor expansion of im in im
8.195 * [backup-simplify]: Simplify 0 into 0
8.195 * [backup-simplify]: Simplify 1 into 1
8.196 * [backup-simplify]: Simplify (/ -1 1) into -1
8.196 * [taylor]: Taking taylor expansion of (/ -1 im) in im
8.196 * [taylor]: Taking taylor expansion of -1 in im
8.196 * [backup-simplify]: Simplify -1 into -1
8.196 * [taylor]: Taking taylor expansion of im in im
8.196 * [backup-simplify]: Simplify 0 into 0
8.196 * [backup-simplify]: Simplify 1 into 1
8.197 * [backup-simplify]: Simplify (/ -1 1) into -1
8.197 * [backup-simplify]: Simplify (* -1 -1) into 1
8.197 * [backup-simplify]: Simplify (+ 0 1) into 1
8.198 * [backup-simplify]: Simplify (sqrt 1) into 1
8.199 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.199 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.200 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
8.201 * [backup-simplify]: Simplify (+ 0 0) into 0
8.202 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.202 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
8.202 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
8.202 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
8.202 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
8.202 * [taylor]: Taking taylor expansion of (/ -1 re) in re
8.202 * [taylor]: Taking taylor expansion of -1 in re
8.202 * [backup-simplify]: Simplify -1 into -1
8.202 * [taylor]: Taking taylor expansion of re in re
8.202 * [backup-simplify]: Simplify 0 into 0
8.202 * [backup-simplify]: Simplify 1 into 1
8.203 * [backup-simplify]: Simplify (/ -1 1) into -1
8.203 * [taylor]: Taking taylor expansion of (/ -1 re) in re
8.203 * [taylor]: Taking taylor expansion of -1 in re
8.203 * [backup-simplify]: Simplify -1 into -1
8.203 * [taylor]: Taking taylor expansion of re in re
8.203 * [backup-simplify]: Simplify 0 into 0
8.203 * [backup-simplify]: Simplify 1 into 1
8.203 * [backup-simplify]: Simplify (/ -1 1) into -1
8.203 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
8.203 * [taylor]: Taking taylor expansion of (/ -1 im) in re
8.203 * [taylor]: Taking taylor expansion of -1 in re
8.203 * [backup-simplify]: Simplify -1 into -1
8.203 * [taylor]: Taking taylor expansion of im in re
8.203 * [backup-simplify]: Simplify im into im
8.203 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
8.203 * [taylor]: Taking taylor expansion of (/ -1 im) in re
8.204 * [taylor]: Taking taylor expansion of -1 in re
8.204 * [backup-simplify]: Simplify -1 into -1
8.204 * [taylor]: Taking taylor expansion of im in re
8.204 * [backup-simplify]: Simplify im into im
8.204 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
8.204 * [backup-simplify]: Simplify (* -1 -1) into 1
8.205 * [backup-simplify]: Simplify (+ 1 0) into 1
8.205 * [backup-simplify]: Simplify (sqrt 1) into 1
8.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.207 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.207 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
8.208 * [backup-simplify]: Simplify (+ 0 0) into 0
8.208 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.208 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
8.209 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
8.209 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
8.209 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
8.209 * [taylor]: Taking taylor expansion of (/ -1 re) in re
8.209 * [taylor]: Taking taylor expansion of -1 in re
8.209 * [backup-simplify]: Simplify -1 into -1
8.209 * [taylor]: Taking taylor expansion of re in re
8.209 * [backup-simplify]: Simplify 0 into 0
8.209 * [backup-simplify]: Simplify 1 into 1
8.210 * [backup-simplify]: Simplify (/ -1 1) into -1
8.210 * [taylor]: Taking taylor expansion of (/ -1 re) in re
8.210 * [taylor]: Taking taylor expansion of -1 in re
8.210 * [backup-simplify]: Simplify -1 into -1
8.210 * [taylor]: Taking taylor expansion of re in re
8.210 * [backup-simplify]: Simplify 0 into 0
8.210 * [backup-simplify]: Simplify 1 into 1
8.210 * [backup-simplify]: Simplify (/ -1 1) into -1
8.210 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
8.210 * [taylor]: Taking taylor expansion of (/ -1 im) in re
8.210 * [taylor]: Taking taylor expansion of -1 in re
8.210 * [backup-simplify]: Simplify -1 into -1
8.210 * [taylor]: Taking taylor expansion of im in re
8.210 * [backup-simplify]: Simplify im into im
8.211 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
8.211 * [taylor]: Taking taylor expansion of (/ -1 im) in re
8.211 * [taylor]: Taking taylor expansion of -1 in re
8.211 * [backup-simplify]: Simplify -1 into -1
8.211 * [taylor]: Taking taylor expansion of im in re
8.211 * [backup-simplify]: Simplify im into im
8.211 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
8.211 * [backup-simplify]: Simplify (* -1 -1) into 1
8.212 * [backup-simplify]: Simplify (+ 1 0) into 1
8.212 * [backup-simplify]: Simplify (sqrt 1) into 1
8.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.215 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
8.215 * [backup-simplify]: Simplify (+ 0 0) into 0
8.216 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.216 * [taylor]: Taking taylor expansion of 1 in im
8.216 * [backup-simplify]: Simplify 1 into 1
8.216 * [taylor]: Taking taylor expansion of 0 in im
8.216 * [backup-simplify]: Simplify 0 into 0
8.216 * [backup-simplify]: Simplify 1 into 1
8.217 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.218 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.219 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
8.220 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
8.220 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.221 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.222 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
8.222 * [taylor]: Taking taylor expansion of 1/2 in im
8.222 * [backup-simplify]: Simplify 1/2 into 1/2
8.222 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.222 * [taylor]: Taking taylor expansion of im in im
8.222 * [backup-simplify]: Simplify 0 into 0
8.222 * [backup-simplify]: Simplify 1 into 1
8.222 * [backup-simplify]: Simplify (* 1 1) into 1
8.223 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.224 * [backup-simplify]: Simplify 0 into 0
8.224 * [backup-simplify]: Simplify 0 into 0
8.224 * [backup-simplify]: Simplify 0 into 0
8.225 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.228 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
8.228 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
8.228 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
8.228 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
8.229 * [backup-simplify]: Simplify (+ 0 0) into 0
8.230 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.230 * [taylor]: Taking taylor expansion of 0 in im
8.230 * [backup-simplify]: Simplify 0 into 0
8.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.232 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.232 * [backup-simplify]: Simplify 0 into 0
8.232 * [backup-simplify]: Simplify 0 into 0
8.232 * [backup-simplify]: Simplify 0 into 0
8.232 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
8.232 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
8.232 * [backup-simplify]: Simplify (sqrt (+ re (hypot re im))) into (sqrt (+ re (hypot re im)))
8.232 * [approximate]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in (re im) around 0
8.233 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im
8.233 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im
8.233 * [taylor]: Taking taylor expansion of re in im
8.233 * [backup-simplify]: Simplify re into re
8.233 * [taylor]: Taking taylor expansion of (hypot re im) in im
8.233 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
8.233 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
8.233 * [taylor]: Taking taylor expansion of (* re re) in im
8.233 * [taylor]: Taking taylor expansion of re in im
8.233 * [backup-simplify]: Simplify re into re
8.233 * [taylor]: Taking taylor expansion of re in im
8.233 * [backup-simplify]: Simplify re into re
8.233 * [taylor]: Taking taylor expansion of (* im im) in im
8.233 * [taylor]: Taking taylor expansion of im in im
8.233 * [backup-simplify]: Simplify 0 into 0
8.233 * [backup-simplify]: Simplify 1 into 1
8.233 * [taylor]: Taking taylor expansion of im in im
8.233 * [backup-simplify]: Simplify 0 into 0
8.233 * [backup-simplify]: Simplify 1 into 1
8.233 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.234 * [backup-simplify]: Simplify (* 0 0) into 0
8.234 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
8.234 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
8.234 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.235 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.235 * [backup-simplify]: Simplify (+ 0 0) into 0
8.236 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
8.236 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
8.236 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
8.236 * [backup-simplify]: Simplify (+ 0 0) into 0
8.236 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
8.236 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re
8.236 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
8.236 * [taylor]: Taking taylor expansion of re in re
8.237 * [backup-simplify]: Simplify 0 into 0
8.237 * [backup-simplify]: Simplify 1 into 1
8.237 * [taylor]: Taking taylor expansion of (hypot re im) in re
8.237 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
8.237 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
8.237 * [taylor]: Taking taylor expansion of (* re re) in re
8.237 * [taylor]: Taking taylor expansion of re in re
8.237 * [backup-simplify]: Simplify 0 into 0
8.237 * [backup-simplify]: Simplify 1 into 1
8.237 * [taylor]: Taking taylor expansion of re in re
8.237 * [backup-simplify]: Simplify 0 into 0
8.237 * [backup-simplify]: Simplify 1 into 1
8.237 * [taylor]: Taking taylor expansion of (* im im) in re
8.237 * [taylor]: Taking taylor expansion of im in re
8.237 * [backup-simplify]: Simplify im into im
8.237 * [taylor]: Taking taylor expansion of im in re
8.237 * [backup-simplify]: Simplify im into im
8.238 * [backup-simplify]: Simplify (* 0 0) into 0
8.238 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.238 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.238 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.239 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.239 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.239 * [backup-simplify]: Simplify (+ 0 0) into 0
8.240 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.240 * [backup-simplify]: Simplify (+ 0 im) into im
8.240 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
8.240 * [backup-simplify]: Simplify (+ 1 0) into 1
8.240 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
8.240 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re
8.240 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
8.240 * [taylor]: Taking taylor expansion of re in re
8.240 * [backup-simplify]: Simplify 0 into 0
8.240 * [backup-simplify]: Simplify 1 into 1
8.240 * [taylor]: Taking taylor expansion of (hypot re im) in re
8.241 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
8.241 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
8.241 * [taylor]: Taking taylor expansion of (* re re) in re
8.241 * [taylor]: Taking taylor expansion of re in re
8.241 * [backup-simplify]: Simplify 0 into 0
8.241 * [backup-simplify]: Simplify 1 into 1
8.241 * [taylor]: Taking taylor expansion of re in re
8.241 * [backup-simplify]: Simplify 0 into 0
8.241 * [backup-simplify]: Simplify 1 into 1
8.241 * [taylor]: Taking taylor expansion of (* im im) in re
8.241 * [taylor]: Taking taylor expansion of im in re
8.241 * [backup-simplify]: Simplify im into im
8.241 * [taylor]: Taking taylor expansion of im in re
8.241 * [backup-simplify]: Simplify im into im
8.241 * [backup-simplify]: Simplify (* 0 0) into 0
8.242 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.242 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.242 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.243 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.243 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.243 * [backup-simplify]: Simplify (+ 0 0) into 0
8.243 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.243 * [backup-simplify]: Simplify (+ 0 im) into im
8.243 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
8.244 * [backup-simplify]: Simplify (+ 1 0) into 1
8.244 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
8.244 * [taylor]: Taking taylor expansion of (sqrt im) in im
8.244 * [taylor]: Taking taylor expansion of im in im
8.244 * [backup-simplify]: Simplify 0 into 0
8.244 * [backup-simplify]: Simplify 1 into 1
8.245 * [backup-simplify]: Simplify (sqrt 0) into 0
8.246 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.246 * [backup-simplify]: Simplify 0 into 0
8.247 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 im))) in im
8.247 * [taylor]: Taking taylor expansion of 1/2 in im
8.247 * [backup-simplify]: Simplify 1/2 into 1/2
8.247 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
8.247 * [taylor]: Taking taylor expansion of (/ 1 im) in im
8.247 * [taylor]: Taking taylor expansion of im in im
8.247 * [backup-simplify]: Simplify 0 into 0
8.247 * [backup-simplify]: Simplify 1 into 1
8.247 * [backup-simplify]: Simplify (/ 1 1) into 1
8.248 * [backup-simplify]: Simplify (sqrt 0) into 0
8.249 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.251 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0)
8.251 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
8.251 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.252 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
8.253 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
8.254 * [backup-simplify]: Simplify (+ 1 0) into 1
8.255 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
8.255 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
8.255 * [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))))
8.256 * [taylor]: Taking taylor expansion of (* 1/8 (sqrt (/ 1 (pow im 3)))) in im
8.256 * [taylor]: Taking taylor expansion of 1/8 in im
8.256 * [backup-simplify]: Simplify 1/8 into 1/8
8.256 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
8.256 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
8.256 * [taylor]: Taking taylor expansion of (pow im 3) in im
8.256 * [taylor]: Taking taylor expansion of im in im
8.256 * [backup-simplify]: Simplify 0 into 0
8.256 * [backup-simplify]: Simplify 1 into 1
8.256 * [backup-simplify]: Simplify (* 1 1) into 1
8.257 * [backup-simplify]: Simplify (* 1 1) into 1
8.257 * [backup-simplify]: Simplify (/ 1 1) into 1
8.257 * [backup-simplify]: Simplify (sqrt 0) into 0
8.259 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.260 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.261 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.266 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
8.268 * [backup-simplify]: Simplify (+ (* 1/8 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0)
8.268 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
8.274 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 re) 2)) (+ (* +nan.0 (* im 1)) (* (- +nan.0) (* 1 re)))) into (- (+ (* +nan.0 (pow re 2)) (- (+ (* +nan.0 im) (- (* +nan.0 re))))))
8.274 * [backup-simplify]: Simplify (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) into (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))
8.274 * [approximate]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in (re im) around 0
8.274 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im
8.274 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
8.274 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
8.275 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
8.275 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
8.275 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
8.275 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.275 * [taylor]: Taking taylor expansion of re in im
8.275 * [backup-simplify]: Simplify re into re
8.275 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.275 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.275 * [taylor]: Taking taylor expansion of re in im
8.275 * [backup-simplify]: Simplify re into re
8.275 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.275 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
8.275 * [taylor]: Taking taylor expansion of (/ 1 im) in im
8.275 * [taylor]: Taking taylor expansion of im in im
8.275 * [backup-simplify]: Simplify 0 into 0
8.275 * [backup-simplify]: Simplify 1 into 1
8.276 * [backup-simplify]: Simplify (/ 1 1) into 1
8.276 * [taylor]: Taking taylor expansion of (/ 1 im) in im
8.276 * [taylor]: Taking taylor expansion of im in im
8.276 * [backup-simplify]: Simplify 0 into 0
8.276 * [backup-simplify]: Simplify 1 into 1
8.277 * [backup-simplify]: Simplify (/ 1 1) into 1
8.277 * [backup-simplify]: Simplify (* 1 1) into 1
8.278 * [backup-simplify]: Simplify (+ 0 1) into 1
8.278 * [backup-simplify]: Simplify (sqrt 1) into 1
8.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.281 * [backup-simplify]: Simplify (+ 0 0) into 0
8.281 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.281 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.282 * [taylor]: Taking taylor expansion of re in im
8.282 * [backup-simplify]: Simplify re into re
8.282 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.282 * [backup-simplify]: Simplify (+ 1 0) into 1
8.283 * [backup-simplify]: Simplify (sqrt 0) into 0
8.284 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.284 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re
8.284 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
8.284 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
8.284 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
8.284 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
8.284 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
8.284 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.284 * [taylor]: Taking taylor expansion of re in re
8.284 * [backup-simplify]: Simplify 0 into 0
8.284 * [backup-simplify]: Simplify 1 into 1
8.287 * [backup-simplify]: Simplify (/ 1 1) into 1
8.287 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.287 * [taylor]: Taking taylor expansion of re in re
8.287 * [backup-simplify]: Simplify 0 into 0
8.287 * [backup-simplify]: Simplify 1 into 1
8.287 * [backup-simplify]: Simplify (/ 1 1) into 1
8.288 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
8.288 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.288 * [taylor]: Taking taylor expansion of im in re
8.288 * [backup-simplify]: Simplify im into im
8.288 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.288 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.288 * [taylor]: Taking taylor expansion of im in re
8.288 * [backup-simplify]: Simplify im into im
8.288 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.288 * [backup-simplify]: Simplify (* 1 1) into 1
8.289 * [backup-simplify]: Simplify (+ 1 0) into 1
8.289 * [backup-simplify]: Simplify (sqrt 1) into 1
8.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.292 * [backup-simplify]: Simplify (+ 0 0) into 0
8.292 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.292 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.292 * [taylor]: Taking taylor expansion of re in re
8.292 * [backup-simplify]: Simplify 0 into 0
8.292 * [backup-simplify]: Simplify 1 into 1
8.293 * [backup-simplify]: Simplify (/ 1 1) into 1
8.293 * [backup-simplify]: Simplify (+ 1 1) into 2
8.294 * [backup-simplify]: Simplify (sqrt 0) into 0
8.295 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
8.295 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re
8.295 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
8.295 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
8.296 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
8.296 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
8.296 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
8.296 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.296 * [taylor]: Taking taylor expansion of re in re
8.296 * [backup-simplify]: Simplify 0 into 0
8.296 * [backup-simplify]: Simplify 1 into 1
8.297 * [backup-simplify]: Simplify (/ 1 1) into 1
8.297 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.297 * [taylor]: Taking taylor expansion of re in re
8.297 * [backup-simplify]: Simplify 0 into 0
8.297 * [backup-simplify]: Simplify 1 into 1
8.297 * [backup-simplify]: Simplify (/ 1 1) into 1
8.297 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
8.297 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.297 * [taylor]: Taking taylor expansion of im in re
8.297 * [backup-simplify]: Simplify im into im
8.297 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.297 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.298 * [taylor]: Taking taylor expansion of im in re
8.298 * [backup-simplify]: Simplify im into im
8.298 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.298 * [backup-simplify]: Simplify (* 1 1) into 1
8.299 * [backup-simplify]: Simplify (+ 1 0) into 1
8.299 * [backup-simplify]: Simplify (sqrt 1) into 1
8.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.302 * [backup-simplify]: Simplify (+ 0 0) into 0
8.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.303 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.303 * [taylor]: Taking taylor expansion of re in re
8.303 * [backup-simplify]: Simplify 0 into 0
8.303 * [backup-simplify]: Simplify 1 into 1
8.303 * [backup-simplify]: Simplify (/ 1 1) into 1
8.304 * [backup-simplify]: Simplify (+ 1 1) into 2
8.304 * [backup-simplify]: Simplify (sqrt 0) into 0
8.306 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
8.306 * [taylor]: Taking taylor expansion of 0 in im
8.306 * [backup-simplify]: Simplify 0 into 0
8.306 * [taylor]: Taking taylor expansion of +nan.0 in im
8.306 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.306 * [backup-simplify]: Simplify 0 into 0
8.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.307 * [backup-simplify]: Simplify (+ 0 0) into 0
8.310 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
8.311 * [taylor]: Taking taylor expansion of +nan.0 in im
8.311 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.311 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.311 * [backup-simplify]: Simplify 0 into 0
8.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.314 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
8.314 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.315 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.316 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
8.319 * [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))
8.319 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im
8.319 * [taylor]: Taking taylor expansion of +nan.0 in im
8.319 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.319 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im
8.319 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
8.319 * [taylor]: Taking taylor expansion of 1/2 in im
8.319 * [backup-simplify]: Simplify 1/2 into 1/2
8.319 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.319 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.319 * [taylor]: Taking taylor expansion of im in im
8.319 * [backup-simplify]: Simplify 0 into 0
8.319 * [backup-simplify]: Simplify 1 into 1
8.319 * [backup-simplify]: Simplify (* 1 1) into 1
8.320 * [backup-simplify]: Simplify (/ 1 1) into 1
8.320 * [taylor]: Taking taylor expansion of +nan.0 in im
8.320 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.322 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.322 * [backup-simplify]: Simplify (+ 0 0) into 0
8.323 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
8.323 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
8.324 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0
8.324 * [backup-simplify]: Simplify 0 into 0
8.324 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.324 * [backup-simplify]: Simplify 0 into 0
8.324 * [backup-simplify]: Simplify 0 into 0
8.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.328 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
8.328 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
8.328 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
8.328 * [backup-simplify]: Simplify (+ 0 0) into 0
8.329 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.331 * [backup-simplify]: Simplify (+ 0 0) into 0
8.332 * [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)))
8.332 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im
8.332 * [taylor]: Taking taylor expansion of +nan.0 in im
8.332 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.332 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im
8.332 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im
8.332 * [taylor]: Taking taylor expansion of +nan.0 in im
8.332 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.333 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.333 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.333 * [taylor]: Taking taylor expansion of im in im
8.333 * [backup-simplify]: Simplify 0 into 0
8.333 * [backup-simplify]: Simplify 1 into 1
8.333 * [backup-simplify]: Simplify (* 1 1) into 1
8.334 * [backup-simplify]: Simplify (/ 1 1) into 1
8.334 * [taylor]: Taking taylor expansion of (- +nan.0) in im
8.334 * [taylor]: Taking taylor expansion of +nan.0 in im
8.334 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.336 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0
8.336 * [backup-simplify]: Simplify (+ 0 0) into 0
8.337 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
8.337 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
8.338 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0
8.338 * [backup-simplify]: Simplify 0 into 0
8.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.341 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
8.342 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
8.343 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
8.346 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0)
8.346 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
8.347 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 re)) 2)) (+ (* +nan.0 (* 1 (/ 1 re))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0)))))
8.347 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (- re)) (hypot (/ 1 (- re)) (/ 1 (- im))))) into (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))
8.347 * [approximate]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in (re im) around 0
8.347 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im
8.347 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
8.347 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
8.347 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
8.348 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
8.348 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
8.348 * [taylor]: Taking taylor expansion of (/ -1 re) in im
8.348 * [taylor]: Taking taylor expansion of -1 in im
8.348 * [backup-simplify]: Simplify -1 into -1
8.348 * [taylor]: Taking taylor expansion of re in im
8.348 * [backup-simplify]: Simplify re into re
8.348 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
8.348 * [taylor]: Taking taylor expansion of (/ -1 re) in im
8.348 * [taylor]: Taking taylor expansion of -1 in im
8.348 * [backup-simplify]: Simplify -1 into -1
8.348 * [taylor]: Taking taylor expansion of re in im
8.348 * [backup-simplify]: Simplify re into re
8.348 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
8.348 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
8.348 * [taylor]: Taking taylor expansion of (/ -1 im) in im
8.348 * [taylor]: Taking taylor expansion of -1 in im
8.348 * [backup-simplify]: Simplify -1 into -1
8.348 * [taylor]: Taking taylor expansion of im in im
8.348 * [backup-simplify]: Simplify 0 into 0
8.348 * [backup-simplify]: Simplify 1 into 1
8.349 * [backup-simplify]: Simplify (/ -1 1) into -1
8.349 * [taylor]: Taking taylor expansion of (/ -1 im) in im
8.349 * [taylor]: Taking taylor expansion of -1 in im
8.349 * [backup-simplify]: Simplify -1 into -1
8.349 * [taylor]: Taking taylor expansion of im in im
8.349 * [backup-simplify]: Simplify 0 into 0
8.349 * [backup-simplify]: Simplify 1 into 1
8.349 * [backup-simplify]: Simplify (/ -1 1) into -1
8.350 * [backup-simplify]: Simplify (* -1 -1) into 1
8.350 * [backup-simplify]: Simplify (+ 0 1) into 1
8.351 * [backup-simplify]: Simplify (sqrt 1) into 1
8.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.353 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
8.354 * [backup-simplify]: Simplify (+ 0 0) into 0
8.354 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.354 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.354 * [taylor]: Taking taylor expansion of re in im
8.354 * [backup-simplify]: Simplify re into re
8.355 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.355 * [backup-simplify]: Simplify (+ 1 0) into 1
8.356 * [backup-simplify]: Simplify (sqrt 0) into 0
8.357 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.357 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
8.357 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
8.357 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
8.358 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
8.358 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
8.358 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
8.358 * [taylor]: Taking taylor expansion of (/ -1 re) in re
8.358 * [taylor]: Taking taylor expansion of -1 in re
8.358 * [backup-simplify]: Simplify -1 into -1
8.358 * [taylor]: Taking taylor expansion of re in re
8.358 * [backup-simplify]: Simplify 0 into 0
8.358 * [backup-simplify]: Simplify 1 into 1
8.358 * [backup-simplify]: Simplify (/ -1 1) into -1
8.358 * [taylor]: Taking taylor expansion of (/ -1 re) in re
8.358 * [taylor]: Taking taylor expansion of -1 in re
8.358 * [backup-simplify]: Simplify -1 into -1
8.358 * [taylor]: Taking taylor expansion of re in re
8.358 * [backup-simplify]: Simplify 0 into 0
8.358 * [backup-simplify]: Simplify 1 into 1
8.359 * [backup-simplify]: Simplify (/ -1 1) into -1
8.359 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
8.359 * [taylor]: Taking taylor expansion of (/ -1 im) in re
8.359 * [taylor]: Taking taylor expansion of -1 in re
8.359 * [backup-simplify]: Simplify -1 into -1
8.359 * [taylor]: Taking taylor expansion of im in re
8.359 * [backup-simplify]: Simplify im into im
8.359 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
8.359 * [taylor]: Taking taylor expansion of (/ -1 im) in re
8.359 * [taylor]: Taking taylor expansion of -1 in re
8.359 * [backup-simplify]: Simplify -1 into -1
8.359 * [taylor]: Taking taylor expansion of im in re
8.359 * [backup-simplify]: Simplify im into im
8.359 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
8.360 * [backup-simplify]: Simplify (* -1 -1) into 1
8.360 * [backup-simplify]: Simplify (+ 1 0) into 1
8.361 * [backup-simplify]: Simplify (sqrt 1) into 1
8.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.362 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.363 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
8.363 * [backup-simplify]: Simplify (+ 0 0) into 0
8.364 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.364 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.364 * [taylor]: Taking taylor expansion of re in re
8.364 * [backup-simplify]: Simplify 0 into 0
8.364 * [backup-simplify]: Simplify 1 into 1
8.365 * [backup-simplify]: Simplify (/ 1 1) into 1
8.365 * [backup-simplify]: Simplify (- 1) into -1
8.365 * [backup-simplify]: Simplify (+ 1 -1) into 0
8.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.367 * [backup-simplify]: Simplify (- 0) into 0
8.367 * [backup-simplify]: Simplify (+ 0 0) into 0
8.368 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.371 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
8.371 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
8.371 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.373 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.374 * [backup-simplify]: Simplify (- 0) into 0
8.375 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
8.375 * [backup-simplify]: Simplify (sqrt 0) into 0
8.376 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
8.376 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
8.376 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
8.376 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
8.376 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
8.376 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
8.376 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
8.376 * [taylor]: Taking taylor expansion of (/ -1 re) in re
8.376 * [taylor]: Taking taylor expansion of -1 in re
8.377 * [backup-simplify]: Simplify -1 into -1
8.377 * [taylor]: Taking taylor expansion of re in re
8.377 * [backup-simplify]: Simplify 0 into 0
8.377 * [backup-simplify]: Simplify 1 into 1
8.377 * [backup-simplify]: Simplify (/ -1 1) into -1
8.377 * [taylor]: Taking taylor expansion of (/ -1 re) in re
8.377 * [taylor]: Taking taylor expansion of -1 in re
8.377 * [backup-simplify]: Simplify -1 into -1
8.377 * [taylor]: Taking taylor expansion of re in re
8.377 * [backup-simplify]: Simplify 0 into 0
8.377 * [backup-simplify]: Simplify 1 into 1
8.378 * [backup-simplify]: Simplify (/ -1 1) into -1
8.378 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
8.378 * [taylor]: Taking taylor expansion of (/ -1 im) in re
8.378 * [taylor]: Taking taylor expansion of -1 in re
8.378 * [backup-simplify]: Simplify -1 into -1
8.378 * [taylor]: Taking taylor expansion of im in re
8.378 * [backup-simplify]: Simplify im into im
8.378 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
8.378 * [taylor]: Taking taylor expansion of (/ -1 im) in re
8.378 * [taylor]: Taking taylor expansion of -1 in re
8.378 * [backup-simplify]: Simplify -1 into -1
8.378 * [taylor]: Taking taylor expansion of im in re
8.378 * [backup-simplify]: Simplify im into im
8.378 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
8.379 * [backup-simplify]: Simplify (* -1 -1) into 1
8.379 * [backup-simplify]: Simplify (+ 1 0) into 1
8.379 * [backup-simplify]: Simplify (sqrt 1) into 1
8.380 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.382 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
8.382 * [backup-simplify]: Simplify (+ 0 0) into 0
8.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.383 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.383 * [taylor]: Taking taylor expansion of re in re
8.383 * [backup-simplify]: Simplify 0 into 0
8.383 * [backup-simplify]: Simplify 1 into 1
8.383 * [backup-simplify]: Simplify (/ 1 1) into 1
8.384 * [backup-simplify]: Simplify (- 1) into -1
8.384 * [backup-simplify]: Simplify (+ 1 -1) into 0
8.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.385 * [backup-simplify]: Simplify (- 0) into 0
8.386 * [backup-simplify]: Simplify (+ 0 0) into 0
8.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.388 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.389 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
8.389 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
8.389 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.390 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.392 * [backup-simplify]: Simplify (- 0) into 0
8.392 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
8.392 * [backup-simplify]: Simplify (sqrt 0) into 0
8.393 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
8.393 * [taylor]: Taking taylor expansion of 0 in im
8.393 * [backup-simplify]: Simplify 0 into 0
8.393 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 2)) in im
8.393 * [taylor]: Taking taylor expansion of +nan.0 in im
8.393 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.394 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.394 * [taylor]: Taking taylor expansion of im in im
8.394 * [backup-simplify]: Simplify 0 into 0
8.394 * [backup-simplify]: Simplify 1 into 1
8.394 * [backup-simplify]: Simplify (* 1 1) into 1
8.394 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0
8.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0
8.396 * [backup-simplify]: Simplify 0 into 0
8.396 * [backup-simplify]: Simplify 0 into 0
8.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.398 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.399 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
8.400 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
8.400 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
8.400 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
8.401 * [backup-simplify]: Simplify (+ 0 0) into 0
8.401 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.403 * [backup-simplify]: Simplify (- 0) into 0
8.403 * [backup-simplify]: Simplify (+ 0 0) into 0
8.404 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
8.404 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 4)) in im
8.404 * [taylor]: Taking taylor expansion of +nan.0 in im
8.404 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.404 * [taylor]: Taking taylor expansion of (pow im 4) in im
8.405 * [taylor]: Taking taylor expansion of im in im
8.405 * [backup-simplify]: Simplify 0 into 0
8.405 * [backup-simplify]: Simplify 1 into 1
8.405 * [backup-simplify]: Simplify (* 1 1) into 1
8.405 * [backup-simplify]: Simplify (* 1 1) into 1
8.406 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0
8.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.411 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.412 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0
8.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.414 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.415 * [backup-simplify]: Simplify 0 into 0
8.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.417 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.417 * [backup-simplify]: Simplify 0 into 0
8.417 * [backup-simplify]: Simplify 0 into 0
8.418 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.419 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.420 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
8.420 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
8.421 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
8.421 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0
8.421 * [backup-simplify]: Simplify (+ 0 0) into 0
8.422 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
8.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.423 * [backup-simplify]: Simplify (- 0) into 0
8.423 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
8.424 * [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 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))
8.424 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6)))))) in im
8.424 * [taylor]: Taking taylor expansion of +nan.0 in im
8.424 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.424 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))) in im
8.424 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow im 4))) in im
8.424 * [taylor]: Taking taylor expansion of 1/8 in im
8.424 * [backup-simplify]: Simplify 1/8 into 1/8
8.424 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im
8.424 * [taylor]: Taking taylor expansion of (pow im 4) in im
8.424 * [taylor]: Taking taylor expansion of im in im
8.424 * [backup-simplify]: Simplify 0 into 0
8.424 * [backup-simplify]: Simplify 1 into 1
8.424 * [backup-simplify]: Simplify (* 1 1) into 1
8.425 * [backup-simplify]: Simplify (* 1 1) into 1
8.425 * [backup-simplify]: Simplify (/ 1 1) into 1
8.425 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow im 6)))) in im
8.425 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 6))) in im
8.425 * [taylor]: Taking taylor expansion of +nan.0 in im
8.425 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.425 * [taylor]: Taking taylor expansion of (/ 1 (pow im 6)) in im
8.425 * [taylor]: Taking taylor expansion of (pow im 6) in im
8.425 * [taylor]: Taking taylor expansion of im in im
8.425 * [backup-simplify]: Simplify 0 into 0
8.425 * [backup-simplify]: Simplify 1 into 1
8.425 * [backup-simplify]: Simplify (* 1 1) into 1
8.426 * [backup-simplify]: Simplify (* 1 1) into 1
8.426 * [backup-simplify]: Simplify (* 1 1) into 1
8.426 * [backup-simplify]: Simplify (/ 1 1) into 1
8.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.427 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.429 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.435 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
8.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.438 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
8.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
8.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.453 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
8.454 * [backup-simplify]: Simplify (- 0) into 0
8.454 * [backup-simplify]: Simplify (+ 0 0) into 0
8.455 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 1))) into 0
8.456 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.456 * [backup-simplify]: Simplify (- 0) into 0
8.457 * [backup-simplify]: Simplify (+ 0 0) into 0
8.457 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0
8.459 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.459 * [backup-simplify]: Simplify (- 0) into 0
8.459 * [backup-simplify]: Simplify (+ 0 0) into 0
8.460 * [backup-simplify]: Simplify (* 1/8 1) into 1/8
8.460 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0
8.461 * [backup-simplify]: Simplify (- 0) into 0
8.463 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8
8.464 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0
8.465 * [backup-simplify]: Simplify (- 0) into 0
8.465 * [backup-simplify]: Simplify (+ 0 0) into 0
8.466 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
8.466 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
8.467 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
8.468 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/8) (+ (* 0 0) (* 0 (- +nan.0))))))) into 0
8.468 * [backup-simplify]: Simplify 0 into 0
8.468 * [backup-simplify]: Simplify 0 into 0
8.468 * * * [progress]: simplifying candidates
8.473 * [simplify]: Simplifying:
  (expm1 (+ re (hypot re im)))
  (log1p (+ re (hypot re im)))
  (* (exp re) (exp (hypot re im)))
  (log (+ re (hypot re im)))
  (exp (+ re (hypot re im)))
  (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im))))
  (cbrt (+ re (hypot re im)))
  (* (* (+ re (hypot re im)) (+ re (hypot re im))) (+ re (hypot re im)))
  (sqrt (+ re (hypot re im)))
  (sqrt (+ re (hypot re im)))
  (+ (pow re 3) (pow (hypot re im) 3))
  (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))
  (- (* re re) (* (hypot re im) (hypot re im)))
  (- re (hypot re im))
  (+ re (hypot re im))
  (expm1 (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
  (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
  (* (+ re (hypot re im)) 2.0)
  (* (sqrt (+ re (hypot re im))) (sqrt 2.0))
  (* (+ re (hypot re im)) 2.0)
  (+ (log (sqrt (+ re (hypot re im)))) (log (sqrt 2.0)))
  (log (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
  (exp (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
  (* (* (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))) (sqrt (+ re (hypot re im)))) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)))
  (* (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0))))
  (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
  (* (* (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
  (* (+ re (hypot re im)) 2.0)
  (sqrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
  (sqrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0)))
  (* (sqrt (+ re (hypot re im))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (* (sqrt (+ re (hypot re im))) (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0)))
  (* (sqrt (+ re (hypot re im))) (sqrt 1))
  (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0)))
  (* (sqrt (+ re (hypot re im))) 1)
  (* (cbrt (sqrt (+ re (hypot re im)))) (sqrt 2.0))
  (* (sqrt (cbrt (+ re (hypot re im)))) (sqrt 2.0))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt 2.0))
  (* (sqrt (+ re (hypot re im))) (sqrt 2.0))
  (* (sqrt (+ re (hypot re im))) (sqrt 2.0))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt 2.0))
  (* (sqrt (+ re (hypot re im))) (sqrt 2.0))
  (* (sqrt (+ (pow re 3) (pow (hypot re im) 3))) (sqrt 2.0))
  (* (sqrt (- (* re re) (* (hypot re im) (hypot re im)))) (sqrt 2.0))
  (expm1 (hypot re im))
  (log1p (hypot re im))
  (+ (* re re) (* im im))
  (log (hypot re im))
  (exp (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (* (* (hypot re im) (hypot re im)) (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (expm1 (sqrt (+ re (hypot re im))))
  (log1p (sqrt (+ re (hypot re im))))
  (log (sqrt (+ re (hypot re im))))
  (exp (sqrt (+ re (hypot re im))))
  (* (cbrt (sqrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im)))))
  (cbrt (sqrt (+ re (hypot re im))))
  (* (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))) (sqrt (+ re (hypot re im))))
  (sqrt (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))))
  (sqrt (cbrt (+ re (hypot re im))))
  (sqrt (sqrt (+ re (hypot re im))))
  (sqrt (sqrt (+ re (hypot re im))))
  (sqrt 1)
  (sqrt (+ re (hypot re im)))
  (sqrt 1)
  (sqrt (+ re (hypot re im)))
  (sqrt (+ (pow re 3) (pow (hypot re im) 3)))
  (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im)))))
  (sqrt (- (* re re) (* (hypot re im) (hypot re im))))
  (sqrt (- re (hypot re im)))
  (/ 1 2)
  (sqrt (sqrt (+ re (hypot re im))))
  (sqrt (sqrt (+ re (hypot re im))))
  (+ re im)
  (* 2 re)
  0
  (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re)))))))
  (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))))
  0
  im
  re
  (* -1 re)
  (- (+ (* +nan.0 (pow re 2)) (- (+ (* +nan.0 im) (- (* +nan.0 re))))))
  (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0)))))
  0
8.474 * * [simplify]: iteration 0: 135 enodes
8.527 * * [simplify]: iteration 1: 306 enodes
8.758 * * [simplify]: iteration 2: 821 enodes
9.874 * * [simplify]: iteration 3: 2486 enodes
12.058 * * [simplify]: iteration complete: 5007 enodes
12.058 * * [simplify]: Extracting #0: cost 67 inf + 0
12.060 * * [simplify]: Extracting #1: cost 399 inf + 47
12.068 * * [simplify]: Extracting #2: cost 913 inf + 4869
12.097 * * [simplify]: Extracting #3: cost 593 inf + 53792
12.191 * * [simplify]: Extracting #4: cost 128 inf + 135050
12.268 * * [simplify]: Extracting #5: cost 23 inf + 157874
12.365 * * [simplify]: Extracting #6: cost 6 inf + 161099
12.459 * * [simplify]: Extracting #7: cost 0 inf + 162617
12.552 * [simplify]: Simplified to:
  (expm1 (+ re (hypot re im)))
  (log1p (+ re (hypot re im)))
  (exp (+ re (hypot re im)))
  (log (+ re (hypot re im)))
  (exp (+ re (hypot re im)))
  (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im))))
  (cbrt (+ re (hypot re im)))
  (* (* (+ re (hypot re im)) (+ re (hypot re im))) (+ re (hypot re im)))
  (sqrt (+ re (hypot re im)))
  (sqrt (+ re (hypot re im)))
  (fma (* re re) re (* (hypot re im) (* (hypot re im) (hypot re im))))
  (fma (hypot re im) (- (hypot re im) re) (* re re))
  (* (- re (hypot re im)) (+ re (hypot re im)))
  (- re (hypot re im))
  (+ re (hypot re im))
  (expm1 (* (sqrt 2.0) (sqrt (+ re (hypot re im)))))
  (log1p (* (sqrt 2.0) (sqrt (+ re (hypot re im)))))
  (* 2.0 (+ re (hypot re im)))
  (* (sqrt 2.0) (sqrt (+ re (hypot re im))))
  (* 2.0 (+ re (hypot re im)))
  (log (* (sqrt 2.0) (sqrt (+ re (hypot re im)))))
  (log (* (sqrt 2.0) (sqrt (+ re (hypot re im)))))
  (exp (* (sqrt 2.0) (sqrt (+ re (hypot re im)))))
  (* (* (+ re (hypot re im)) (sqrt (+ re (hypot re im)))) (* 2.0 (sqrt 2.0)))
  (* (cbrt (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (cbrt (* (sqrt 2.0) (sqrt (+ re (hypot re im))))))
  (cbrt (* (sqrt 2.0) (sqrt (+ re (hypot re im)))))
  (* (* (+ re (hypot re im)) (sqrt (+ re (hypot re im)))) (* 2.0 (sqrt 2.0)))
  (* 2.0 (+ re (hypot re im)))
  (sqrt (* (sqrt 2.0) (sqrt (+ re (hypot re im)))))
  (sqrt (* (sqrt 2.0) (sqrt (+ re (hypot re im)))))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0)))
  (* (sqrt (+ re (hypot re im))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (* (fabs (cbrt 2.0)) (sqrt (+ re (hypot re im))))
  (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))
  (sqrt (+ re (hypot re im)))
  (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))
  (sqrt (+ re (hypot re im)))
  (* (sqrt 2.0) (cbrt (sqrt (+ re (hypot re im)))))
  (* (sqrt 2.0) (sqrt (cbrt (+ re (hypot re im)))))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt 2.0))
  (* (sqrt 2.0) (sqrt (+ re (hypot re im))))
  (* (sqrt 2.0) (sqrt (+ re (hypot re im))))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt 2.0))
  (* (sqrt 2.0) (sqrt (+ re (hypot re im))))
  (* (sqrt (fma (* re re) re (* (hypot re im) (* (hypot re im) (hypot re im))))) (sqrt 2.0))
  (* (sqrt (* (- re (hypot re im)) (+ re (hypot re im)))) (sqrt 2.0))
  (expm1 (hypot re im))
  (log1p (hypot re im))
  (fma re re (* im im))
  (log (hypot re im))
  (exp (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (* (hypot re im) (* (hypot re im) (hypot re im)))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (expm1 (sqrt (+ re (hypot re im))))
  (log1p (sqrt (+ re (hypot re im))))
  (log (sqrt (+ re (hypot re im))))
  (exp (sqrt (+ re (hypot re im))))
  (* (cbrt (sqrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im)))))
  (cbrt (sqrt (+ re (hypot re im))))
  (* (+ re (hypot re im)) (sqrt (+ re (hypot re im))))
  (fabs (cbrt (+ re (hypot re im))))
  (sqrt (cbrt (+ re (hypot re im))))
  (sqrt (sqrt (+ re (hypot re im))))
  (sqrt (sqrt (+ re (hypot re im))))
  1
  (sqrt (+ re (hypot re im)))
  1
  (sqrt (+ re (hypot re im)))
  (sqrt (fma (* re re) re (* (hypot re im) (* (hypot re im) (hypot re im)))))
  (sqrt (fma (hypot re im) (- (hypot re im) re) (* re re)))
  (sqrt (* (- re (hypot re im)) (+ re (hypot re im))))
  (sqrt (- re (hypot re im)))
  1/2
  (sqrt (sqrt (+ re (hypot re im))))
  (sqrt (sqrt (+ re (hypot re im))))
  (+ re im)
  (* re 2)
  0
  (* (* (sqrt 2.0) +nan.0) (fma (- re) re (- im re)))
  (fma (- +nan.0) (sqrt 2.0) (fma (/ (sqrt 2.0) re) (- +nan.0) (* (/ (sqrt 2.0) re) (/ +nan.0 re))))
  0
  im
  re
  (- re)
  (fma (- +nan.0) (* re re) (* +nan.0 (- im re)))
  (fma (/ +nan.0 re) (/ -1 re) (- (/ +nan.0 re) +nan.0))
  0
12.558 * * * [progress]: adding candidates to table
13.272 * * [progress]: iteration 3 / 4
13.272 * * * [progress]: picking best candidate
13.322 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (* (* (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0))))))>
13.322 * * * [progress]: localizing error
13.442 * * * [progress]: generating rewritten candidates
13.443 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1 1)
13.456 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1)
13.469 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 1 1)
13.482 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2)
13.515 * * * [progress]: generating series expansions
13.515 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1 1)
13.515 * [backup-simplify]: Simplify (+ re (hypot re im)) into (+ re (hypot re im))
13.515 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0
13.515 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im
13.515 * [taylor]: Taking taylor expansion of re in im
13.515 * [backup-simplify]: Simplify re into re
13.515 * [taylor]: Taking taylor expansion of (hypot re im) in im
13.515 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
13.515 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
13.515 * [taylor]: Taking taylor expansion of (* re re) in im
13.515 * [taylor]: Taking taylor expansion of re in im
13.516 * [backup-simplify]: Simplify re into re
13.516 * [taylor]: Taking taylor expansion of re in im
13.516 * [backup-simplify]: Simplify re into re
13.516 * [taylor]: Taking taylor expansion of (* im im) in im
13.516 * [taylor]: Taking taylor expansion of im in im
13.516 * [backup-simplify]: Simplify 0 into 0
13.516 * [backup-simplify]: Simplify 1 into 1
13.516 * [taylor]: Taking taylor expansion of im in im
13.516 * [backup-simplify]: Simplify 0 into 0
13.516 * [backup-simplify]: Simplify 1 into 1
13.516 * [backup-simplify]: Simplify (* re re) into (pow re 2)
13.517 * [backup-simplify]: Simplify (* 0 0) into 0
13.517 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
13.517 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
13.517 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
13.518 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
13.518 * [backup-simplify]: Simplify (+ 0 0) into 0
13.519 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
13.519 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
13.519 * [taylor]: Taking taylor expansion of re in re
13.519 * [backup-simplify]: Simplify 0 into 0
13.519 * [backup-simplify]: Simplify 1 into 1
13.519 * [taylor]: Taking taylor expansion of (hypot re im) in re
13.519 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
13.519 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
13.519 * [taylor]: Taking taylor expansion of (* re re) in re
13.519 * [taylor]: Taking taylor expansion of re in re
13.519 * [backup-simplify]: Simplify 0 into 0
13.519 * [backup-simplify]: Simplify 1 into 1
13.519 * [taylor]: Taking taylor expansion of re in re
13.519 * [backup-simplify]: Simplify 0 into 0
13.519 * [backup-simplify]: Simplify 1 into 1
13.519 * [taylor]: Taking taylor expansion of (* im im) in re
13.519 * [taylor]: Taking taylor expansion of im in re
13.519 * [backup-simplify]: Simplify im into im
13.519 * [taylor]: Taking taylor expansion of im in re
13.519 * [backup-simplify]: Simplify im into im
13.520 * [backup-simplify]: Simplify (* 0 0) into 0
13.520 * [backup-simplify]: Simplify (* im im) into (pow im 2)
13.520 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
13.520 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
13.521 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
13.522 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
13.522 * [backup-simplify]: Simplify (+ 0 0) into 0
13.523 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
13.523 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
13.523 * [taylor]: Taking taylor expansion of re in re
13.523 * [backup-simplify]: Simplify 0 into 0
13.523 * [backup-simplify]: Simplify 1 into 1
13.523 * [taylor]: Taking taylor expansion of (hypot re im) in re
13.523 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
13.523 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
13.523 * [taylor]: Taking taylor expansion of (* re re) in re
13.523 * [taylor]: Taking taylor expansion of re in re
13.523 * [backup-simplify]: Simplify 0 into 0
13.523 * [backup-simplify]: Simplify 1 into 1
13.523 * [taylor]: Taking taylor expansion of re in re
13.523 * [backup-simplify]: Simplify 0 into 0
13.523 * [backup-simplify]: Simplify 1 into 1
13.523 * [taylor]: Taking taylor expansion of (* im im) in re
13.523 * [taylor]: Taking taylor expansion of im in re
13.523 * [backup-simplify]: Simplify im into im
13.523 * [taylor]: Taking taylor expansion of im in re
13.523 * [backup-simplify]: Simplify im into im
13.524 * [backup-simplify]: Simplify (* 0 0) into 0
13.524 * [backup-simplify]: Simplify (* im im) into (pow im 2)
13.524 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
13.524 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
13.525 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
13.525 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
13.526 * [backup-simplify]: Simplify (+ 0 0) into 0
13.526 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
13.526 * [backup-simplify]: Simplify (+ 0 im) into im
13.526 * [taylor]: Taking taylor expansion of im in im
13.526 * [backup-simplify]: Simplify 0 into 0
13.526 * [backup-simplify]: Simplify 1 into 1
13.526 * [backup-simplify]: Simplify 0 into 0
13.527 * [backup-simplify]: Simplify (+ 1 0) into 1
13.527 * [taylor]: Taking taylor expansion of 1 in im
13.527 * [backup-simplify]: Simplify 1 into 1
13.527 * [backup-simplify]: Simplify 1 into 1
13.527 * [backup-simplify]: Simplify 1 into 1
13.528 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
13.528 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
13.529 * [backup-simplify]: Simplify (+ 1 0) into 1
13.529 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
13.530 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
13.530 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
13.530 * [taylor]: Taking taylor expansion of 1/2 in im
13.530 * [backup-simplify]: Simplify 1/2 into 1/2
13.530 * [taylor]: Taking taylor expansion of (/ 1 im) in im
13.530 * [taylor]: Taking taylor expansion of im in im
13.530 * [backup-simplify]: Simplify 0 into 0
13.530 * [backup-simplify]: Simplify 1 into 1
13.530 * [backup-simplify]: Simplify (/ 1 1) into 1
13.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.532 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
13.532 * [backup-simplify]: Simplify 0 into 0
13.532 * [backup-simplify]: Simplify 0 into 0
13.532 * [backup-simplify]: Simplify 0 into 0
13.533 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
13.534 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
13.534 * [backup-simplify]: Simplify (+ 0 0) into 0
13.535 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
13.535 * [backup-simplify]: Simplify (+ 0 0) into 0
13.535 * [taylor]: Taking taylor expansion of 0 in im
13.535 * [backup-simplify]: Simplify 0 into 0
13.535 * [backup-simplify]: Simplify 0 into 0
13.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.537 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
13.537 * [backup-simplify]: Simplify 0 into 0
13.537 * [backup-simplify]: Simplify 0 into 0
13.538 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
13.538 * [backup-simplify]: Simplify (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) into (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))
13.538 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0
13.538 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
13.538 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
13.538 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
13.538 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
13.538 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
13.538 * [taylor]: Taking taylor expansion of (/ 1 re) in im
13.538 * [taylor]: Taking taylor expansion of re in im
13.538 * [backup-simplify]: Simplify re into re
13.538 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
13.538 * [taylor]: Taking taylor expansion of (/ 1 re) in im
13.539 * [taylor]: Taking taylor expansion of re in im
13.539 * [backup-simplify]: Simplify re into re
13.539 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
13.539 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
13.539 * [taylor]: Taking taylor expansion of (/ 1 im) in im
13.539 * [taylor]: Taking taylor expansion of im in im
13.539 * [backup-simplify]: Simplify 0 into 0
13.539 * [backup-simplify]: Simplify 1 into 1
13.539 * [backup-simplify]: Simplify (/ 1 1) into 1
13.539 * [taylor]: Taking taylor expansion of (/ 1 im) in im
13.539 * [taylor]: Taking taylor expansion of im in im
13.539 * [backup-simplify]: Simplify 0 into 0
13.539 * [backup-simplify]: Simplify 1 into 1
13.545 * [backup-simplify]: Simplify (/ 1 1) into 1
13.545 * [backup-simplify]: Simplify (* 1 1) into 1
13.546 * [backup-simplify]: Simplify (+ 0 1) into 1
13.546 * [backup-simplify]: Simplify (sqrt 1) into 1
13.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.548 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.548 * [backup-simplify]: Simplify (+ 0 0) into 0
13.549 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.549 * [taylor]: Taking taylor expansion of (/ 1 re) in im
13.549 * [taylor]: Taking taylor expansion of re in im
13.549 * [backup-simplify]: Simplify re into re
13.549 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
13.549 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
13.549 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
13.549 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
13.549 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
13.549 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
13.549 * [taylor]: Taking taylor expansion of (/ 1 re) in re
13.549 * [taylor]: Taking taylor expansion of re in re
13.549 * [backup-simplify]: Simplify 0 into 0
13.549 * [backup-simplify]: Simplify 1 into 1
13.550 * [backup-simplify]: Simplify (/ 1 1) into 1
13.550 * [taylor]: Taking taylor expansion of (/ 1 re) in re
13.550 * [taylor]: Taking taylor expansion of re in re
13.550 * [backup-simplify]: Simplify 0 into 0
13.550 * [backup-simplify]: Simplify 1 into 1
13.550 * [backup-simplify]: Simplify (/ 1 1) into 1
13.550 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
13.550 * [taylor]: Taking taylor expansion of (/ 1 im) in re
13.550 * [taylor]: Taking taylor expansion of im in re
13.550 * [backup-simplify]: Simplify im into im
13.551 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
13.551 * [taylor]: Taking taylor expansion of (/ 1 im) in re
13.551 * [taylor]: Taking taylor expansion of im in re
13.551 * [backup-simplify]: Simplify im into im
13.551 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
13.551 * [backup-simplify]: Simplify (* 1 1) into 1
13.552 * [backup-simplify]: Simplify (+ 1 0) into 1
13.552 * [backup-simplify]: Simplify (sqrt 1) into 1
13.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.554 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.554 * [backup-simplify]: Simplify (+ 0 0) into 0
13.555 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.555 * [taylor]: Taking taylor expansion of (/ 1 re) in re
13.555 * [taylor]: Taking taylor expansion of re in re
13.555 * [backup-simplify]: Simplify 0 into 0
13.555 * [backup-simplify]: Simplify 1 into 1
13.556 * [backup-simplify]: Simplify (/ 1 1) into 1
13.556 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
13.556 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
13.556 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
13.556 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
13.556 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
13.556 * [taylor]: Taking taylor expansion of (/ 1 re) in re
13.556 * [taylor]: Taking taylor expansion of re in re
13.556 * [backup-simplify]: Simplify 0 into 0
13.556 * [backup-simplify]: Simplify 1 into 1
13.557 * [backup-simplify]: Simplify (/ 1 1) into 1
13.557 * [taylor]: Taking taylor expansion of (/ 1 re) in re
13.557 * [taylor]: Taking taylor expansion of re in re
13.557 * [backup-simplify]: Simplify 0 into 0
13.557 * [backup-simplify]: Simplify 1 into 1
13.558 * [backup-simplify]: Simplify (/ 1 1) into 1
13.558 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
13.558 * [taylor]: Taking taylor expansion of (/ 1 im) in re
13.558 * [taylor]: Taking taylor expansion of im in re
13.558 * [backup-simplify]: Simplify im into im
13.558 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
13.558 * [taylor]: Taking taylor expansion of (/ 1 im) in re
13.558 * [taylor]: Taking taylor expansion of im in re
13.558 * [backup-simplify]: Simplify im into im
13.558 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
13.559 * [backup-simplify]: Simplify (* 1 1) into 1
13.559 * [backup-simplify]: Simplify (+ 1 0) into 1
13.559 * [backup-simplify]: Simplify (sqrt 1) into 1
13.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.562 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.562 * [backup-simplify]: Simplify (+ 0 0) into 0
13.563 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.563 * [taylor]: Taking taylor expansion of (/ 1 re) in re
13.563 * [taylor]: Taking taylor expansion of re in re
13.563 * [backup-simplify]: Simplify 0 into 0
13.563 * [backup-simplify]: Simplify 1 into 1
13.563 * [backup-simplify]: Simplify (/ 1 1) into 1
13.564 * [backup-simplify]: Simplify (+ 1 1) into 2
13.564 * [taylor]: Taking taylor expansion of 2 in im
13.564 * [backup-simplify]: Simplify 2 into 2
13.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.565 * [backup-simplify]: Simplify (+ 0 0) into 0
13.565 * [taylor]: Taking taylor expansion of 0 in im
13.565 * [backup-simplify]: Simplify 0 into 0
13.565 * [backup-simplify]: Simplify 2 into 2
13.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.568 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
13.568 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
13.570 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
13.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.571 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
13.571 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
13.571 * [taylor]: Taking taylor expansion of 1/2 in im
13.571 * [backup-simplify]: Simplify 1/2 into 1/2
13.571 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
13.571 * [taylor]: Taking taylor expansion of (pow im 2) in im
13.571 * [taylor]: Taking taylor expansion of im in im
13.571 * [backup-simplify]: Simplify 0 into 0
13.571 * [backup-simplify]: Simplify 1 into 1
13.572 * [backup-simplify]: Simplify (* 1 1) into 1
13.572 * [backup-simplify]: Simplify (/ 1 1) into 1
13.573 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.574 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
13.574 * [backup-simplify]: Simplify 0 into 0
13.574 * [backup-simplify]: Simplify 0 into 0
13.574 * [backup-simplify]: Simplify 0 into 0
13.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
13.578 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
13.578 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
13.578 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
13.578 * [backup-simplify]: Simplify (+ 0 0) into 0
13.579 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
13.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.580 * [backup-simplify]: Simplify (+ 0 0) into 0
13.580 * [taylor]: Taking taylor expansion of 0 in im
13.580 * [backup-simplify]: Simplify 0 into 0
13.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.583 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
13.583 * [backup-simplify]: Simplify 0 into 0
13.584 * [backup-simplify]: Simplify 0 into 0
13.584 * [backup-simplify]: Simplify 0 into 0
13.584 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
13.584 * [backup-simplify]: Simplify (+ (/ 1 (- re)) (hypot (/ 1 (- re)) (/ 1 (- im)))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
13.584 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
13.584 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
13.584 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
13.584 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
13.584 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
13.584 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
13.584 * [taylor]: Taking taylor expansion of (/ -1 re) in im
13.584 * [taylor]: Taking taylor expansion of -1 in im
13.585 * [backup-simplify]: Simplify -1 into -1
13.585 * [taylor]: Taking taylor expansion of re in im
13.585 * [backup-simplify]: Simplify re into re
13.585 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
13.585 * [taylor]: Taking taylor expansion of (/ -1 re) in im
13.585 * [taylor]: Taking taylor expansion of -1 in im
13.585 * [backup-simplify]: Simplify -1 into -1
13.585 * [taylor]: Taking taylor expansion of re in im
13.585 * [backup-simplify]: Simplify re into re
13.585 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
13.585 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
13.585 * [taylor]: Taking taylor expansion of (/ -1 im) in im
13.585 * [taylor]: Taking taylor expansion of -1 in im
13.585 * [backup-simplify]: Simplify -1 into -1
13.585 * [taylor]: Taking taylor expansion of im in im
13.585 * [backup-simplify]: Simplify 0 into 0
13.585 * [backup-simplify]: Simplify 1 into 1
13.586 * [backup-simplify]: Simplify (/ -1 1) into -1
13.586 * [taylor]: Taking taylor expansion of (/ -1 im) in im
13.586 * [taylor]: Taking taylor expansion of -1 in im
13.586 * [backup-simplify]: Simplify -1 into -1
13.586 * [taylor]: Taking taylor expansion of im in im
13.586 * [backup-simplify]: Simplify 0 into 0
13.586 * [backup-simplify]: Simplify 1 into 1
13.586 * [backup-simplify]: Simplify (/ -1 1) into -1
13.587 * [backup-simplify]: Simplify (* -1 -1) into 1
13.587 * [backup-simplify]: Simplify (+ 0 1) into 1
13.588 * [backup-simplify]: Simplify (sqrt 1) into 1
13.588 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
13.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
13.590 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
13.590 * [backup-simplify]: Simplify (+ 0 0) into 0
13.591 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.591 * [taylor]: Taking taylor expansion of (/ 1 re) in im
13.591 * [taylor]: Taking taylor expansion of re in im
13.591 * [backup-simplify]: Simplify re into re
13.591 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
13.591 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
13.591 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
13.592 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
13.592 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
13.592 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
13.592 * [taylor]: Taking taylor expansion of (/ -1 re) in re
13.592 * [taylor]: Taking taylor expansion of -1 in re
13.592 * [backup-simplify]: Simplify -1 into -1
13.592 * [taylor]: Taking taylor expansion of re in re
13.592 * [backup-simplify]: Simplify 0 into 0
13.592 * [backup-simplify]: Simplify 1 into 1
13.592 * [backup-simplify]: Simplify (/ -1 1) into -1
13.592 * [taylor]: Taking taylor expansion of (/ -1 re) in re
13.592 * [taylor]: Taking taylor expansion of -1 in re
13.592 * [backup-simplify]: Simplify -1 into -1
13.593 * [taylor]: Taking taylor expansion of re in re
13.593 * [backup-simplify]: Simplify 0 into 0
13.593 * [backup-simplify]: Simplify 1 into 1
13.593 * [backup-simplify]: Simplify (/ -1 1) into -1
13.593 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
13.593 * [taylor]: Taking taylor expansion of (/ -1 im) in re
13.593 * [taylor]: Taking taylor expansion of -1 in re
13.593 * [backup-simplify]: Simplify -1 into -1
13.593 * [taylor]: Taking taylor expansion of im in re
13.593 * [backup-simplify]: Simplify im into im
13.593 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
13.593 * [taylor]: Taking taylor expansion of (/ -1 im) in re
13.593 * [taylor]: Taking taylor expansion of -1 in re
13.593 * [backup-simplify]: Simplify -1 into -1
13.593 * [taylor]: Taking taylor expansion of im in re
13.593 * [backup-simplify]: Simplify im into im
13.593 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
13.594 * [backup-simplify]: Simplify (* -1 -1) into 1
13.594 * [backup-simplify]: Simplify (+ 1 0) into 1
13.595 * [backup-simplify]: Simplify (sqrt 1) into 1
13.596 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
13.596 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
13.597 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
13.597 * [backup-simplify]: Simplify (+ 0 0) into 0
13.598 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.598 * [taylor]: Taking taylor expansion of (/ 1 re) in re
13.598 * [taylor]: Taking taylor expansion of re in re
13.598 * [backup-simplify]: Simplify 0 into 0
13.598 * [backup-simplify]: Simplify 1 into 1
13.599 * [backup-simplify]: Simplify (/ 1 1) into 1
13.599 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
13.599 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
13.599 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
13.599 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
13.599 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
13.599 * [taylor]: Taking taylor expansion of (/ -1 re) in re
13.599 * [taylor]: Taking taylor expansion of -1 in re
13.599 * [backup-simplify]: Simplify -1 into -1
13.599 * [taylor]: Taking taylor expansion of re in re
13.599 * [backup-simplify]: Simplify 0 into 0
13.599 * [backup-simplify]: Simplify 1 into 1
13.600 * [backup-simplify]: Simplify (/ -1 1) into -1
13.600 * [taylor]: Taking taylor expansion of (/ -1 re) in re
13.600 * [taylor]: Taking taylor expansion of -1 in re
13.600 * [backup-simplify]: Simplify -1 into -1
13.600 * [taylor]: Taking taylor expansion of re in re
13.600 * [backup-simplify]: Simplify 0 into 0
13.600 * [backup-simplify]: Simplify 1 into 1
13.600 * [backup-simplify]: Simplify (/ -1 1) into -1
13.600 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
13.600 * [taylor]: Taking taylor expansion of (/ -1 im) in re
13.600 * [taylor]: Taking taylor expansion of -1 in re
13.600 * [backup-simplify]: Simplify -1 into -1
13.600 * [taylor]: Taking taylor expansion of im in re
13.600 * [backup-simplify]: Simplify im into im
13.601 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
13.601 * [taylor]: Taking taylor expansion of (/ -1 im) in re
13.601 * [taylor]: Taking taylor expansion of -1 in re
13.601 * [backup-simplify]: Simplify -1 into -1
13.601 * [taylor]: Taking taylor expansion of im in re
13.601 * [backup-simplify]: Simplify im into im
13.601 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
13.601 * [backup-simplify]: Simplify (* -1 -1) into 1
13.602 * [backup-simplify]: Simplify (+ 1 0) into 1
13.602 * [backup-simplify]: Simplify (sqrt 1) into 1
13.603 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
13.604 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
13.604 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
13.605 * [backup-simplify]: Simplify (+ 0 0) into 0
13.606 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.606 * [taylor]: Taking taylor expansion of (/ 1 re) in re
13.606 * [taylor]: Taking taylor expansion of re in re
13.606 * [backup-simplify]: Simplify 0 into 0
13.606 * [backup-simplify]: Simplify 1 into 1
13.606 * [backup-simplify]: Simplify (/ 1 1) into 1
13.607 * [backup-simplify]: Simplify (- 1) into -1
13.607 * [backup-simplify]: Simplify (+ 1 -1) into 0
13.607 * [taylor]: Taking taylor expansion of 0 in im
13.607 * [backup-simplify]: Simplify 0 into 0
13.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.608 * [backup-simplify]: Simplify (- 0) into 0
13.609 * [backup-simplify]: Simplify (+ 0 0) into 0
13.609 * [taylor]: Taking taylor expansion of 0 in im
13.609 * [backup-simplify]: Simplify 0 into 0
13.609 * [backup-simplify]: Simplify 0 into 0
13.610 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.611 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.612 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
13.612 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
13.612 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
13.614 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
13.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.615 * [backup-simplify]: Simplify (- 0) into 0
13.615 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
13.615 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
13.615 * [taylor]: Taking taylor expansion of 1/2 in im
13.616 * [backup-simplify]: Simplify 1/2 into 1/2
13.616 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
13.616 * [taylor]: Taking taylor expansion of (pow im 2) in im
13.616 * [taylor]: Taking taylor expansion of im in im
13.616 * [backup-simplify]: Simplify 0 into 0
13.616 * [backup-simplify]: Simplify 1 into 1
13.616 * [backup-simplify]: Simplify (* 1 1) into 1
13.616 * [backup-simplify]: Simplify (/ 1 1) into 1
13.617 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.619 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
13.619 * [backup-simplify]: Simplify 0 into 0
13.619 * [backup-simplify]: Simplify 0 into 0
13.619 * [backup-simplify]: Simplify 0 into 0
13.620 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.621 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.622 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
13.622 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
13.623 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
13.623 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
13.623 * [backup-simplify]: Simplify (+ 0 0) into 0
13.624 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
13.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.625 * [backup-simplify]: Simplify (- 0) into 0
13.626 * [backup-simplify]: Simplify (+ 0 0) into 0
13.626 * [taylor]: Taking taylor expansion of 0 in im
13.626 * [backup-simplify]: Simplify 0 into 0
13.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.629 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
13.629 * [backup-simplify]: Simplify 0 into 0
13.629 * [backup-simplify]: Simplify 0 into 0
13.629 * [backup-simplify]: Simplify 0 into 0
13.629 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1)
13.629 * [backup-simplify]: Simplify (+ re (hypot re im)) into (+ re (hypot re im))
13.629 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0
13.629 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im
13.629 * [taylor]: Taking taylor expansion of re in im
13.629 * [backup-simplify]: Simplify re into re
13.629 * [taylor]: Taking taylor expansion of (hypot re im) in im
13.629 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
13.629 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
13.630 * [taylor]: Taking taylor expansion of (* re re) in im
13.630 * [taylor]: Taking taylor expansion of re in im
13.630 * [backup-simplify]: Simplify re into re
13.630 * [taylor]: Taking taylor expansion of re in im
13.630 * [backup-simplify]: Simplify re into re
13.630 * [taylor]: Taking taylor expansion of (* im im) in im
13.630 * [taylor]: Taking taylor expansion of im in im
13.630 * [backup-simplify]: Simplify 0 into 0
13.630 * [backup-simplify]: Simplify 1 into 1
13.630 * [taylor]: Taking taylor expansion of im in im
13.630 * [backup-simplify]: Simplify 0 into 0
13.630 * [backup-simplify]: Simplify 1 into 1
13.630 * [backup-simplify]: Simplify (* re re) into (pow re 2)
13.630 * [backup-simplify]: Simplify (* 0 0) into 0
13.631 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
13.631 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
13.631 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
13.632 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
13.632 * [backup-simplify]: Simplify (+ 0 0) into 0
13.633 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
13.633 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
13.633 * [taylor]: Taking taylor expansion of re in re
13.633 * [backup-simplify]: Simplify 0 into 0
13.633 * [backup-simplify]: Simplify 1 into 1
13.633 * [taylor]: Taking taylor expansion of (hypot re im) in re
13.633 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
13.633 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
13.633 * [taylor]: Taking taylor expansion of (* re re) in re
13.633 * [taylor]: Taking taylor expansion of re in re
13.633 * [backup-simplify]: Simplify 0 into 0
13.633 * [backup-simplify]: Simplify 1 into 1
13.633 * [taylor]: Taking taylor expansion of re in re
13.633 * [backup-simplify]: Simplify 0 into 0
13.633 * [backup-simplify]: Simplify 1 into 1
13.633 * [taylor]: Taking taylor expansion of (* im im) in re
13.633 * [taylor]: Taking taylor expansion of im in re
13.633 * [backup-simplify]: Simplify im into im
13.633 * [taylor]: Taking taylor expansion of im in re
13.633 * [backup-simplify]: Simplify im into im
13.634 * [backup-simplify]: Simplify (* 0 0) into 0
13.634 * [backup-simplify]: Simplify (* im im) into (pow im 2)
13.634 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
13.634 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
13.635 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
13.635 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
13.636 * [backup-simplify]: Simplify (+ 0 0) into 0
13.636 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
13.636 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
13.636 * [taylor]: Taking taylor expansion of re in re
13.636 * [backup-simplify]: Simplify 0 into 0
13.636 * [backup-simplify]: Simplify 1 into 1
13.636 * [taylor]: Taking taylor expansion of (hypot re im) in re
13.636 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
13.636 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
13.636 * [taylor]: Taking taylor expansion of (* re re) in re
13.636 * [taylor]: Taking taylor expansion of re in re
13.636 * [backup-simplify]: Simplify 0 into 0
13.636 * [backup-simplify]: Simplify 1 into 1
13.636 * [taylor]: Taking taylor expansion of re in re
13.636 * [backup-simplify]: Simplify 0 into 0
13.636 * [backup-simplify]: Simplify 1 into 1
13.636 * [taylor]: Taking taylor expansion of (* im im) in re
13.636 * [taylor]: Taking taylor expansion of im in re
13.636 * [backup-simplify]: Simplify im into im
13.636 * [taylor]: Taking taylor expansion of im in re
13.636 * [backup-simplify]: Simplify im into im
13.637 * [backup-simplify]: Simplify (* 0 0) into 0
13.637 * [backup-simplify]: Simplify (* im im) into (pow im 2)
13.637 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
13.637 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
13.638 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
13.638 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
13.639 * [backup-simplify]: Simplify (+ 0 0) into 0
13.639 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
13.639 * [backup-simplify]: Simplify (+ 0 im) into im
13.639 * [taylor]: Taking taylor expansion of im in im
13.639 * [backup-simplify]: Simplify 0 into 0
13.639 * [backup-simplify]: Simplify 1 into 1
13.639 * [backup-simplify]: Simplify 0 into 0
13.640 * [backup-simplify]: Simplify (+ 1 0) into 1
13.640 * [taylor]: Taking taylor expansion of 1 in im
13.640 * [backup-simplify]: Simplify 1 into 1
13.640 * [backup-simplify]: Simplify 1 into 1
13.640 * [backup-simplify]: Simplify 1 into 1
13.641 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
13.641 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
13.642 * [backup-simplify]: Simplify (+ 1 0) into 1
13.642 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
13.643 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
13.643 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
13.643 * [taylor]: Taking taylor expansion of 1/2 in im
13.643 * [backup-simplify]: Simplify 1/2 into 1/2
13.643 * [taylor]: Taking taylor expansion of (/ 1 im) in im
13.643 * [taylor]: Taking taylor expansion of im in im
13.643 * [backup-simplify]: Simplify 0 into 0
13.643 * [backup-simplify]: Simplify 1 into 1
13.643 * [backup-simplify]: Simplify (/ 1 1) into 1
13.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.645 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
13.645 * [backup-simplify]: Simplify 0 into 0
13.645 * [backup-simplify]: Simplify 0 into 0
13.645 * [backup-simplify]: Simplify 0 into 0
13.646 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
13.647 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
13.647 * [backup-simplify]: Simplify (+ 0 0) into 0
13.648 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
13.648 * [backup-simplify]: Simplify (+ 0 0) into 0
13.648 * [taylor]: Taking taylor expansion of 0 in im
13.648 * [backup-simplify]: Simplify 0 into 0
13.648 * [backup-simplify]: Simplify 0 into 0
13.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.650 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
13.650 * [backup-simplify]: Simplify 0 into 0
13.650 * [backup-simplify]: Simplify 0 into 0
13.651 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
13.651 * [backup-simplify]: Simplify (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) into (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))
13.651 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0
13.651 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
13.651 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
13.651 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
13.651 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
13.651 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
13.651 * [taylor]: Taking taylor expansion of (/ 1 re) in im
13.651 * [taylor]: Taking taylor expansion of re in im
13.651 * [backup-simplify]: Simplify re into re
13.651 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
13.651 * [taylor]: Taking taylor expansion of (/ 1 re) in im
13.652 * [taylor]: Taking taylor expansion of re in im
13.652 * [backup-simplify]: Simplify re into re
13.652 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
13.652 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
13.652 * [taylor]: Taking taylor expansion of (/ 1 im) in im
13.652 * [taylor]: Taking taylor expansion of im in im
13.652 * [backup-simplify]: Simplify 0 into 0
13.652 * [backup-simplify]: Simplify 1 into 1
13.652 * [backup-simplify]: Simplify (/ 1 1) into 1
13.652 * [taylor]: Taking taylor expansion of (/ 1 im) in im
13.652 * [taylor]: Taking taylor expansion of im in im
13.652 * [backup-simplify]: Simplify 0 into 0
13.652 * [backup-simplify]: Simplify 1 into 1
13.653 * [backup-simplify]: Simplify (/ 1 1) into 1
13.653 * [backup-simplify]: Simplify (* 1 1) into 1
13.654 * [backup-simplify]: Simplify (+ 0 1) into 1
13.654 * [backup-simplify]: Simplify (sqrt 1) into 1
13.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.656 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.657 * [backup-simplify]: Simplify (+ 0 0) into 0
13.658 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.658 * [taylor]: Taking taylor expansion of (/ 1 re) in im
13.658 * [taylor]: Taking taylor expansion of re in im
13.658 * [backup-simplify]: Simplify re into re
13.658 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
13.658 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
13.658 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
13.658 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
13.658 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
13.658 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
13.658 * [taylor]: Taking taylor expansion of (/ 1 re) in re
13.658 * [taylor]: Taking taylor expansion of re in re
13.658 * [backup-simplify]: Simplify 0 into 0
13.658 * [backup-simplify]: Simplify 1 into 1
13.659 * [backup-simplify]: Simplify (/ 1 1) into 1
13.659 * [taylor]: Taking taylor expansion of (/ 1 re) in re
13.659 * [taylor]: Taking taylor expansion of re in re
13.659 * [backup-simplify]: Simplify 0 into 0
13.659 * [backup-simplify]: Simplify 1 into 1
13.659 * [backup-simplify]: Simplify (/ 1 1) into 1
13.659 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
13.659 * [taylor]: Taking taylor expansion of (/ 1 im) in re
13.660 * [taylor]: Taking taylor expansion of im in re
13.660 * [backup-simplify]: Simplify im into im
13.660 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
13.660 * [taylor]: Taking taylor expansion of (/ 1 im) in re
13.660 * [taylor]: Taking taylor expansion of im in re
13.660 * [backup-simplify]: Simplify im into im
13.660 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
13.660 * [backup-simplify]: Simplify (* 1 1) into 1
13.661 * [backup-simplify]: Simplify (+ 1 0) into 1
13.661 * [backup-simplify]: Simplify (sqrt 1) into 1
13.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.664 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.664 * [backup-simplify]: Simplify (+ 0 0) into 0
13.665 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.665 * [taylor]: Taking taylor expansion of (/ 1 re) in re
13.665 * [taylor]: Taking taylor expansion of re in re
13.665 * [backup-simplify]: Simplify 0 into 0
13.665 * [backup-simplify]: Simplify 1 into 1
13.665 * [backup-simplify]: Simplify (/ 1 1) into 1
13.665 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
13.665 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
13.666 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
13.666 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
13.666 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
13.666 * [taylor]: Taking taylor expansion of (/ 1 re) in re
13.666 * [taylor]: Taking taylor expansion of re in re
13.666 * [backup-simplify]: Simplify 0 into 0
13.666 * [backup-simplify]: Simplify 1 into 1
13.667 * [backup-simplify]: Simplify (/ 1 1) into 1
13.667 * [taylor]: Taking taylor expansion of (/ 1 re) in re
13.667 * [taylor]: Taking taylor expansion of re in re
13.667 * [backup-simplify]: Simplify 0 into 0
13.667 * [backup-simplify]: Simplify 1 into 1
13.668 * [backup-simplify]: Simplify (/ 1 1) into 1
13.668 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
13.668 * [taylor]: Taking taylor expansion of (/ 1 im) in re
13.668 * [taylor]: Taking taylor expansion of im in re
13.668 * [backup-simplify]: Simplify im into im
13.668 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
13.668 * [taylor]: Taking taylor expansion of (/ 1 im) in re
13.668 * [taylor]: Taking taylor expansion of im in re
13.668 * [backup-simplify]: Simplify im into im
13.668 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
13.668 * [backup-simplify]: Simplify (* 1 1) into 1
13.669 * [backup-simplify]: Simplify (+ 1 0) into 1
13.669 * [backup-simplify]: Simplify (sqrt 1) into 1
13.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.672 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.672 * [backup-simplify]: Simplify (+ 0 0) into 0
13.673 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.673 * [taylor]: Taking taylor expansion of (/ 1 re) in re
13.673 * [taylor]: Taking taylor expansion of re in re
13.673 * [backup-simplify]: Simplify 0 into 0
13.673 * [backup-simplify]: Simplify 1 into 1
13.674 * [backup-simplify]: Simplify (/ 1 1) into 1
13.674 * [backup-simplify]: Simplify (+ 1 1) into 2
13.674 * [taylor]: Taking taylor expansion of 2 in im
13.674 * [backup-simplify]: Simplify 2 into 2
13.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.676 * [backup-simplify]: Simplify (+ 0 0) into 0
13.676 * [taylor]: Taking taylor expansion of 0 in im
13.676 * [backup-simplify]: Simplify 0 into 0
13.676 * [backup-simplify]: Simplify 2 into 2
13.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.686 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.687 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
13.687 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
13.690 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
13.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.691 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
13.691 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
13.692 * [taylor]: Taking taylor expansion of 1/2 in im
13.692 * [backup-simplify]: Simplify 1/2 into 1/2
13.692 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
13.692 * [taylor]: Taking taylor expansion of (pow im 2) in im
13.692 * [taylor]: Taking taylor expansion of im in im
13.692 * [backup-simplify]: Simplify 0 into 0
13.692 * [backup-simplify]: Simplify 1 into 1
13.692 * [backup-simplify]: Simplify (* 1 1) into 1
13.693 * [backup-simplify]: Simplify (/ 1 1) into 1
13.693 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.695 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
13.695 * [backup-simplify]: Simplify 0 into 0
13.696 * [backup-simplify]: Simplify 0 into 0
13.696 * [backup-simplify]: Simplify 0 into 0
13.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
13.701 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
13.701 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
13.701 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
13.702 * [backup-simplify]: Simplify (+ 0 0) into 0
13.703 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
13.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.704 * [backup-simplify]: Simplify (+ 0 0) into 0
13.704 * [taylor]: Taking taylor expansion of 0 in im
13.704 * [backup-simplify]: Simplify 0 into 0
13.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.708 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
13.708 * [backup-simplify]: Simplify 0 into 0
13.708 * [backup-simplify]: Simplify 0 into 0
13.708 * [backup-simplify]: Simplify 0 into 0
13.709 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
13.712 * [backup-simplify]: Simplify (+ (/ 1 (- re)) (hypot (/ 1 (- re)) (/ 1 (- im)))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
13.712 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
13.712 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
13.712 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
13.713 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
13.713 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
13.713 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
13.713 * [taylor]: Taking taylor expansion of (/ -1 re) in im
13.713 * [taylor]: Taking taylor expansion of -1 in im
13.713 * [backup-simplify]: Simplify -1 into -1
13.713 * [taylor]: Taking taylor expansion of re in im
13.713 * [backup-simplify]: Simplify re into re
13.713 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
13.713 * [taylor]: Taking taylor expansion of (/ -1 re) in im
13.713 * [taylor]: Taking taylor expansion of -1 in im
13.713 * [backup-simplify]: Simplify -1 into -1
13.713 * [taylor]: Taking taylor expansion of re in im
13.713 * [backup-simplify]: Simplify re into re
13.713 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
13.713 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
13.714 * [taylor]: Taking taylor expansion of (/ -1 im) in im
13.714 * [taylor]: Taking taylor expansion of -1 in im
13.714 * [backup-simplify]: Simplify -1 into -1
13.714 * [taylor]: Taking taylor expansion of im in im
13.714 * [backup-simplify]: Simplify 0 into 0
13.714 * [backup-simplify]: Simplify 1 into 1
13.715 * [backup-simplify]: Simplify (/ -1 1) into -1
13.715 * [taylor]: Taking taylor expansion of (/ -1 im) in im
13.715 * [taylor]: Taking taylor expansion of -1 in im
13.715 * [backup-simplify]: Simplify -1 into -1
13.715 * [taylor]: Taking taylor expansion of im in im
13.715 * [backup-simplify]: Simplify 0 into 0
13.715 * [backup-simplify]: Simplify 1 into 1
13.716 * [backup-simplify]: Simplify (/ -1 1) into -1
13.717 * [backup-simplify]: Simplify (* -1 -1) into 1
13.718 * [backup-simplify]: Simplify (+ 0 1) into 1
13.719 * [backup-simplify]: Simplify (sqrt 1) into 1
13.720 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
13.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
13.722 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
13.722 * [backup-simplify]: Simplify (+ 0 0) into 0
13.723 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.723 * [taylor]: Taking taylor expansion of (/ 1 re) in im
13.723 * [taylor]: Taking taylor expansion of re in im
13.723 * [backup-simplify]: Simplify re into re
13.723 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
13.723 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
13.723 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
13.723 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
13.723 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
13.723 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
13.723 * [taylor]: Taking taylor expansion of (/ -1 re) in re
13.723 * [taylor]: Taking taylor expansion of -1 in re
13.723 * [backup-simplify]: Simplify -1 into -1
13.723 * [taylor]: Taking taylor expansion of re in re
13.724 * [backup-simplify]: Simplify 0 into 0
13.724 * [backup-simplify]: Simplify 1 into 1
13.724 * [backup-simplify]: Simplify (/ -1 1) into -1
13.724 * [taylor]: Taking taylor expansion of (/ -1 re) in re
13.724 * [taylor]: Taking taylor expansion of -1 in re
13.724 * [backup-simplify]: Simplify -1 into -1
13.724 * [taylor]: Taking taylor expansion of re in re
13.724 * [backup-simplify]: Simplify 0 into 0
13.724 * [backup-simplify]: Simplify 1 into 1
13.725 * [backup-simplify]: Simplify (/ -1 1) into -1
13.725 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
13.725 * [taylor]: Taking taylor expansion of (/ -1 im) in re
13.725 * [taylor]: Taking taylor expansion of -1 in re
13.725 * [backup-simplify]: Simplify -1 into -1
13.725 * [taylor]: Taking taylor expansion of im in re
13.725 * [backup-simplify]: Simplify im into im
13.725 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
13.725 * [taylor]: Taking taylor expansion of (/ -1 im) in re
13.725 * [taylor]: Taking taylor expansion of -1 in re
13.725 * [backup-simplify]: Simplify -1 into -1
13.725 * [taylor]: Taking taylor expansion of im in re
13.725 * [backup-simplify]: Simplify im into im
13.725 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
13.726 * [backup-simplify]: Simplify (* -1 -1) into 1
13.726 * [backup-simplify]: Simplify (+ 1 0) into 1
13.727 * [backup-simplify]: Simplify (sqrt 1) into 1
13.727 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
13.728 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
13.729 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
13.729 * [backup-simplify]: Simplify (+ 0 0) into 0
13.730 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.730 * [taylor]: Taking taylor expansion of (/ 1 re) in re
13.730 * [taylor]: Taking taylor expansion of re in re
13.730 * [backup-simplify]: Simplify 0 into 0
13.730 * [backup-simplify]: Simplify 1 into 1
13.731 * [backup-simplify]: Simplify (/ 1 1) into 1
13.731 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
13.731 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
13.731 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
13.731 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
13.731 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
13.731 * [taylor]: Taking taylor expansion of (/ -1 re) in re
13.731 * [taylor]: Taking taylor expansion of -1 in re
13.731 * [backup-simplify]: Simplify -1 into -1
13.731 * [taylor]: Taking taylor expansion of re in re
13.731 * [backup-simplify]: Simplify 0 into 0
13.731 * [backup-simplify]: Simplify 1 into 1
13.732 * [backup-simplify]: Simplify (/ -1 1) into -1
13.732 * [taylor]: Taking taylor expansion of (/ -1 re) in re
13.732 * [taylor]: Taking taylor expansion of -1 in re
13.732 * [backup-simplify]: Simplify -1 into -1
13.732 * [taylor]: Taking taylor expansion of re in re
13.732 * [backup-simplify]: Simplify 0 into 0
13.732 * [backup-simplify]: Simplify 1 into 1
13.732 * [backup-simplify]: Simplify (/ -1 1) into -1
13.732 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
13.732 * [taylor]: Taking taylor expansion of (/ -1 im) in re
13.732 * [taylor]: Taking taylor expansion of -1 in re
13.732 * [backup-simplify]: Simplify -1 into -1
13.733 * [taylor]: Taking taylor expansion of im in re
13.733 * [backup-simplify]: Simplify im into im
13.733 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
13.733 * [taylor]: Taking taylor expansion of (/ -1 im) in re
13.733 * [taylor]: Taking taylor expansion of -1 in re
13.733 * [backup-simplify]: Simplify -1 into -1
13.733 * [taylor]: Taking taylor expansion of im in re
13.733 * [backup-simplify]: Simplify im into im
13.733 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
13.733 * [backup-simplify]: Simplify (* -1 -1) into 1
13.734 * [backup-simplify]: Simplify (+ 1 0) into 1
13.734 * [backup-simplify]: Simplify (sqrt 1) into 1
13.735 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
13.735 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
13.736 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
13.736 * [backup-simplify]: Simplify (+ 0 0) into 0
13.736 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.736 * [taylor]: Taking taylor expansion of (/ 1 re) in re
13.736 * [taylor]: Taking taylor expansion of re in re
13.736 * [backup-simplify]: Simplify 0 into 0
13.736 * [backup-simplify]: Simplify 1 into 1
13.737 * [backup-simplify]: Simplify (/ 1 1) into 1
13.737 * [backup-simplify]: Simplify (- 1) into -1
13.737 * [backup-simplify]: Simplify (+ 1 -1) into 0
13.737 * [taylor]: Taking taylor expansion of 0 in im
13.737 * [backup-simplify]: Simplify 0 into 0
13.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.738 * [backup-simplify]: Simplify (- 0) into 0
13.739 * [backup-simplify]: Simplify (+ 0 0) into 0
13.739 * [taylor]: Taking taylor expansion of 0 in im
13.739 * [backup-simplify]: Simplify 0 into 0
13.739 * [backup-simplify]: Simplify 0 into 0
13.740 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.740 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.741 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
13.741 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
13.742 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
13.743 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
13.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.743 * [backup-simplify]: Simplify (- 0) into 0
13.743 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
13.743 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
13.744 * [taylor]: Taking taylor expansion of 1/2 in im
13.744 * [backup-simplify]: Simplify 1/2 into 1/2
13.744 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
13.744 * [taylor]: Taking taylor expansion of (pow im 2) in im
13.744 * [taylor]: Taking taylor expansion of im in im
13.744 * [backup-simplify]: Simplify 0 into 0
13.744 * [backup-simplify]: Simplify 1 into 1
13.744 * [backup-simplify]: Simplify (* 1 1) into 1
13.744 * [backup-simplify]: Simplify (/ 1 1) into 1
13.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.746 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
13.746 * [backup-simplify]: Simplify 0 into 0
13.746 * [backup-simplify]: Simplify 0 into 0
13.747 * [backup-simplify]: Simplify 0 into 0
13.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.750 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
13.751 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
13.751 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
13.751 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
13.751 * [backup-simplify]: Simplify (+ 0 0) into 0
13.752 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
13.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.753 * [backup-simplify]: Simplify (- 0) into 0
13.753 * [backup-simplify]: Simplify (+ 0 0) into 0
13.753 * [taylor]: Taking taylor expansion of 0 in im
13.754 * [backup-simplify]: Simplify 0 into 0
13.754 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.756 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
13.756 * [backup-simplify]: Simplify 0 into 0
13.756 * [backup-simplify]: Simplify 0 into 0
13.756 * [backup-simplify]: Simplify 0 into 0
13.757 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 1 1)
13.758 * [backup-simplify]: Simplify (+ re (hypot re im)) into (+ re (hypot re im))
13.758 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0
13.758 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im
13.758 * [taylor]: Taking taylor expansion of re in im
13.758 * [backup-simplify]: Simplify re into re
13.758 * [taylor]: Taking taylor expansion of (hypot re im) in im
13.758 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
13.758 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
13.758 * [taylor]: Taking taylor expansion of (* re re) in im
13.758 * [taylor]: Taking taylor expansion of re in im
13.758 * [backup-simplify]: Simplify re into re
13.758 * [taylor]: Taking taylor expansion of re in im
13.758 * [backup-simplify]: Simplify re into re
13.758 * [taylor]: Taking taylor expansion of (* im im) in im
13.758 * [taylor]: Taking taylor expansion of im in im
13.758 * [backup-simplify]: Simplify 0 into 0
13.758 * [backup-simplify]: Simplify 1 into 1
13.758 * [taylor]: Taking taylor expansion of im in im
13.758 * [backup-simplify]: Simplify 0 into 0
13.758 * [backup-simplify]: Simplify 1 into 1
13.758 * [backup-simplify]: Simplify (* re re) into (pow re 2)
13.759 * [backup-simplify]: Simplify (* 0 0) into 0
13.759 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
13.759 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
13.759 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
13.760 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
13.760 * [backup-simplify]: Simplify (+ 0 0) into 0
13.760 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
13.760 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
13.760 * [taylor]: Taking taylor expansion of re in re
13.760 * [backup-simplify]: Simplify 0 into 0
13.760 * [backup-simplify]: Simplify 1 into 1
13.760 * [taylor]: Taking taylor expansion of (hypot re im) in re
13.760 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
13.760 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
13.760 * [taylor]: Taking taylor expansion of (* re re) in re
13.760 * [taylor]: Taking taylor expansion of re in re
13.760 * [backup-simplify]: Simplify 0 into 0
13.760 * [backup-simplify]: Simplify 1 into 1
13.760 * [taylor]: Taking taylor expansion of re in re
13.760 * [backup-simplify]: Simplify 0 into 0
13.760 * [backup-simplify]: Simplify 1 into 1
13.760 * [taylor]: Taking taylor expansion of (* im im) in re
13.760 * [taylor]: Taking taylor expansion of im in re
13.760 * [backup-simplify]: Simplify im into im
13.760 * [taylor]: Taking taylor expansion of im in re
13.760 * [backup-simplify]: Simplify im into im
13.761 * [backup-simplify]: Simplify (* 0 0) into 0
13.761 * [backup-simplify]: Simplify (* im im) into (pow im 2)
13.761 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
13.761 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
13.761 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
13.761 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
13.762 * [backup-simplify]: Simplify (+ 0 0) into 0
13.762 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
13.762 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
13.762 * [taylor]: Taking taylor expansion of re in re
13.762 * [backup-simplify]: Simplify 0 into 0
13.762 * [backup-simplify]: Simplify 1 into 1
13.762 * [taylor]: Taking taylor expansion of (hypot re im) in re
13.762 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
13.762 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
13.762 * [taylor]: Taking taylor expansion of (* re re) in re
13.762 * [taylor]: Taking taylor expansion of re in re
13.762 * [backup-simplify]: Simplify 0 into 0
13.762 * [backup-simplify]: Simplify 1 into 1
13.762 * [taylor]: Taking taylor expansion of re in re
13.762 * [backup-simplify]: Simplify 0 into 0
13.762 * [backup-simplify]: Simplify 1 into 1
13.762 * [taylor]: Taking taylor expansion of (* im im) in re
13.762 * [taylor]: Taking taylor expansion of im in re
13.762 * [backup-simplify]: Simplify im into im
13.762 * [taylor]: Taking taylor expansion of im in re
13.762 * [backup-simplify]: Simplify im into im
13.762 * [backup-simplify]: Simplify (* 0 0) into 0
13.762 * [backup-simplify]: Simplify (* im im) into (pow im 2)
13.763 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
13.763 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
13.763 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
13.763 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
13.764 * [backup-simplify]: Simplify (+ 0 0) into 0
13.764 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
13.764 * [backup-simplify]: Simplify (+ 0 im) into im
13.764 * [taylor]: Taking taylor expansion of im in im
13.764 * [backup-simplify]: Simplify 0 into 0
13.764 * [backup-simplify]: Simplify 1 into 1
13.764 * [backup-simplify]: Simplify 0 into 0
13.764 * [backup-simplify]: Simplify (+ 1 0) into 1
13.764 * [taylor]: Taking taylor expansion of 1 in im
13.765 * [backup-simplify]: Simplify 1 into 1
13.765 * [backup-simplify]: Simplify 1 into 1
13.765 * [backup-simplify]: Simplify 1 into 1
13.765 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
13.766 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
13.766 * [backup-simplify]: Simplify (+ 1 0) into 1
13.767 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
13.767 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
13.767 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
13.767 * [taylor]: Taking taylor expansion of 1/2 in im
13.767 * [backup-simplify]: Simplify 1/2 into 1/2
13.767 * [taylor]: Taking taylor expansion of (/ 1 im) in im
13.767 * [taylor]: Taking taylor expansion of im in im
13.767 * [backup-simplify]: Simplify 0 into 0
13.767 * [backup-simplify]: Simplify 1 into 1
13.767 * [backup-simplify]: Simplify (/ 1 1) into 1
13.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.768 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
13.768 * [backup-simplify]: Simplify 0 into 0
13.769 * [backup-simplify]: Simplify 0 into 0
13.769 * [backup-simplify]: Simplify 0 into 0
13.770 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
13.770 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
13.771 * [backup-simplify]: Simplify (+ 0 0) into 0
13.771 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
13.771 * [backup-simplify]: Simplify (+ 0 0) into 0
13.771 * [taylor]: Taking taylor expansion of 0 in im
13.771 * [backup-simplify]: Simplify 0 into 0
13.771 * [backup-simplify]: Simplify 0 into 0
13.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.773 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
13.773 * [backup-simplify]: Simplify 0 into 0
13.773 * [backup-simplify]: Simplify 0 into 0
13.773 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
13.774 * [backup-simplify]: Simplify (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) into (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))
13.774 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0
13.774 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
13.774 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
13.774 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
13.774 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
13.774 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
13.774 * [taylor]: Taking taylor expansion of (/ 1 re) in im
13.774 * [taylor]: Taking taylor expansion of re in im
13.774 * [backup-simplify]: Simplify re into re
13.774 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
13.774 * [taylor]: Taking taylor expansion of (/ 1 re) in im
13.774 * [taylor]: Taking taylor expansion of re in im
13.774 * [backup-simplify]: Simplify re into re
13.774 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
13.774 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
13.774 * [taylor]: Taking taylor expansion of (/ 1 im) in im
13.774 * [taylor]: Taking taylor expansion of im in im
13.774 * [backup-simplify]: Simplify 0 into 0
13.774 * [backup-simplify]: Simplify 1 into 1
13.775 * [backup-simplify]: Simplify (/ 1 1) into 1
13.775 * [taylor]: Taking taylor expansion of (/ 1 im) in im
13.775 * [taylor]: Taking taylor expansion of im in im
13.775 * [backup-simplify]: Simplify 0 into 0
13.775 * [backup-simplify]: Simplify 1 into 1
13.775 * [backup-simplify]: Simplify (/ 1 1) into 1
13.775 * [backup-simplify]: Simplify (* 1 1) into 1
13.776 * [backup-simplify]: Simplify (+ 0 1) into 1
13.776 * [backup-simplify]: Simplify (sqrt 1) into 1
13.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.779 * [backup-simplify]: Simplify (+ 0 0) into 0
13.780 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.780 * [taylor]: Taking taylor expansion of (/ 1 re) in im
13.780 * [taylor]: Taking taylor expansion of re in im
13.780 * [backup-simplify]: Simplify re into re
13.780 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
13.780 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
13.780 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
13.780 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
13.780 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
13.780 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
13.780 * [taylor]: Taking taylor expansion of (/ 1 re) in re
13.780 * [taylor]: Taking taylor expansion of re in re
13.780 * [backup-simplify]: Simplify 0 into 0
13.780 * [backup-simplify]: Simplify 1 into 1
13.781 * [backup-simplify]: Simplify (/ 1 1) into 1
13.781 * [taylor]: Taking taylor expansion of (/ 1 re) in re
13.781 * [taylor]: Taking taylor expansion of re in re
13.781 * [backup-simplify]: Simplify 0 into 0
13.781 * [backup-simplify]: Simplify 1 into 1
13.781 * [backup-simplify]: Simplify (/ 1 1) into 1
13.781 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
13.781 * [taylor]: Taking taylor expansion of (/ 1 im) in re
13.781 * [taylor]: Taking taylor expansion of im in re
13.781 * [backup-simplify]: Simplify im into im
13.782 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
13.782 * [taylor]: Taking taylor expansion of (/ 1 im) in re
13.782 * [taylor]: Taking taylor expansion of im in re
13.782 * [backup-simplify]: Simplify im into im
13.782 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
13.782 * [backup-simplify]: Simplify (* 1 1) into 1
13.782 * [backup-simplify]: Simplify (+ 1 0) into 1
13.783 * [backup-simplify]: Simplify (sqrt 1) into 1
13.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.785 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.785 * [backup-simplify]: Simplify (+ 0 0) into 0
13.786 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.786 * [taylor]: Taking taylor expansion of (/ 1 re) in re
13.786 * [taylor]: Taking taylor expansion of re in re
13.786 * [backup-simplify]: Simplify 0 into 0
13.786 * [backup-simplify]: Simplify 1 into 1
13.786 * [backup-simplify]: Simplify (/ 1 1) into 1
13.786 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
13.786 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
13.787 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
13.787 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
13.787 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
13.787 * [taylor]: Taking taylor expansion of (/ 1 re) in re
13.787 * [taylor]: Taking taylor expansion of re in re
13.787 * [backup-simplify]: Simplify 0 into 0
13.787 * [backup-simplify]: Simplify 1 into 1
13.787 * [backup-simplify]: Simplify (/ 1 1) into 1
13.787 * [taylor]: Taking taylor expansion of (/ 1 re) in re
13.787 * [taylor]: Taking taylor expansion of re in re
13.787 * [backup-simplify]: Simplify 0 into 0
13.787 * [backup-simplify]: Simplify 1 into 1
13.788 * [backup-simplify]: Simplify (/ 1 1) into 1
13.788 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
13.788 * [taylor]: Taking taylor expansion of (/ 1 im) in re
13.788 * [taylor]: Taking taylor expansion of im in re
13.788 * [backup-simplify]: Simplify im into im
13.788 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
13.788 * [taylor]: Taking taylor expansion of (/ 1 im) in re
13.788 * [taylor]: Taking taylor expansion of im in re
13.788 * [backup-simplify]: Simplify im into im
13.788 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
13.788 * [backup-simplify]: Simplify (* 1 1) into 1
13.788 * [backup-simplify]: Simplify (+ 1 0) into 1
13.789 * [backup-simplify]: Simplify (sqrt 1) into 1
13.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.790 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.790 * [backup-simplify]: Simplify (+ 0 0) into 0
13.790 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.790 * [taylor]: Taking taylor expansion of (/ 1 re) in re
13.790 * [taylor]: Taking taylor expansion of re in re
13.790 * [backup-simplify]: Simplify 0 into 0
13.790 * [backup-simplify]: Simplify 1 into 1
13.791 * [backup-simplify]: Simplify (/ 1 1) into 1
13.791 * [backup-simplify]: Simplify (+ 1 1) into 2
13.791 * [taylor]: Taking taylor expansion of 2 in im
13.791 * [backup-simplify]: Simplify 2 into 2
13.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.792 * [backup-simplify]: Simplify (+ 0 0) into 0
13.792 * [taylor]: Taking taylor expansion of 0 in im
13.792 * [backup-simplify]: Simplify 0 into 0
13.792 * [backup-simplify]: Simplify 2 into 2
13.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.795 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
13.795 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
13.796 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
13.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.797 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
13.797 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
13.797 * [taylor]: Taking taylor expansion of 1/2 in im
13.797 * [backup-simplify]: Simplify 1/2 into 1/2
13.797 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
13.797 * [taylor]: Taking taylor expansion of (pow im 2) in im
13.797 * [taylor]: Taking taylor expansion of im in im
13.798 * [backup-simplify]: Simplify 0 into 0
13.798 * [backup-simplify]: Simplify 1 into 1
13.798 * [backup-simplify]: Simplify (* 1 1) into 1
13.798 * [backup-simplify]: Simplify (/ 1 1) into 1
13.799 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.800 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
13.800 * [backup-simplify]: Simplify 0 into 0
13.801 * [backup-simplify]: Simplify 0 into 0
13.801 * [backup-simplify]: Simplify 0 into 0
13.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
13.804 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
13.804 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
13.804 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
13.804 * [backup-simplify]: Simplify (+ 0 0) into 0
13.805 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
13.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.806 * [backup-simplify]: Simplify (+ 0 0) into 0
13.806 * [taylor]: Taking taylor expansion of 0 in im
13.806 * [backup-simplify]: Simplify 0 into 0
13.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.809 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
13.809 * [backup-simplify]: Simplify 0 into 0
13.809 * [backup-simplify]: Simplify 0 into 0
13.809 * [backup-simplify]: Simplify 0 into 0
13.809 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
13.809 * [backup-simplify]: Simplify (+ (/ 1 (- re)) (hypot (/ 1 (- re)) (/ 1 (- im)))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
13.809 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
13.809 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
13.810 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
13.810 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
13.810 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
13.810 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
13.810 * [taylor]: Taking taylor expansion of (/ -1 re) in im
13.810 * [taylor]: Taking taylor expansion of -1 in im
13.810 * [backup-simplify]: Simplify -1 into -1
13.810 * [taylor]: Taking taylor expansion of re in im
13.810 * [backup-simplify]: Simplify re into re
13.810 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
13.810 * [taylor]: Taking taylor expansion of (/ -1 re) in im
13.810 * [taylor]: Taking taylor expansion of -1 in im
13.810 * [backup-simplify]: Simplify -1 into -1
13.810 * [taylor]: Taking taylor expansion of re in im
13.810 * [backup-simplify]: Simplify re into re
13.810 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
13.810 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
13.810 * [taylor]: Taking taylor expansion of (/ -1 im) in im
13.810 * [taylor]: Taking taylor expansion of -1 in im
13.810 * [backup-simplify]: Simplify -1 into -1
13.810 * [taylor]: Taking taylor expansion of im in im
13.810 * [backup-simplify]: Simplify 0 into 0
13.810 * [backup-simplify]: Simplify 1 into 1
13.811 * [backup-simplify]: Simplify (/ -1 1) into -1
13.811 * [taylor]: Taking taylor expansion of (/ -1 im) in im
13.811 * [taylor]: Taking taylor expansion of -1 in im
13.811 * [backup-simplify]: Simplify -1 into -1
13.812 * [taylor]: Taking taylor expansion of im in im
13.812 * [backup-simplify]: Simplify 0 into 0
13.812 * [backup-simplify]: Simplify 1 into 1
13.812 * [backup-simplify]: Simplify (/ -1 1) into -1
13.813 * [backup-simplify]: Simplify (* -1 -1) into 1
13.813 * [backup-simplify]: Simplify (+ 0 1) into 1
13.814 * [backup-simplify]: Simplify (sqrt 1) into 1
13.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
13.816 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
13.816 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
13.817 * [backup-simplify]: Simplify (+ 0 0) into 0
13.817 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.817 * [taylor]: Taking taylor expansion of (/ 1 re) in im
13.817 * [taylor]: Taking taylor expansion of re in im
13.817 * [backup-simplify]: Simplify re into re
13.818 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
13.818 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
13.818 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
13.818 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
13.818 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
13.818 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
13.818 * [taylor]: Taking taylor expansion of (/ -1 re) in re
13.818 * [taylor]: Taking taylor expansion of -1 in re
13.818 * [backup-simplify]: Simplify -1 into -1
13.818 * [taylor]: Taking taylor expansion of re in re
13.818 * [backup-simplify]: Simplify 0 into 0
13.818 * [backup-simplify]: Simplify 1 into 1
13.819 * [backup-simplify]: Simplify (/ -1 1) into -1
13.819 * [taylor]: Taking taylor expansion of (/ -1 re) in re
13.819 * [taylor]: Taking taylor expansion of -1 in re
13.819 * [backup-simplify]: Simplify -1 into -1
13.819 * [taylor]: Taking taylor expansion of re in re
13.819 * [backup-simplify]: Simplify 0 into 0
13.819 * [backup-simplify]: Simplify 1 into 1
13.819 * [backup-simplify]: Simplify (/ -1 1) into -1
13.819 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
13.819 * [taylor]: Taking taylor expansion of (/ -1 im) in re
13.819 * [taylor]: Taking taylor expansion of -1 in re
13.819 * [backup-simplify]: Simplify -1 into -1
13.819 * [taylor]: Taking taylor expansion of im in re
13.819 * [backup-simplify]: Simplify im into im
13.820 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
13.820 * [taylor]: Taking taylor expansion of (/ -1 im) in re
13.820 * [taylor]: Taking taylor expansion of -1 in re
13.820 * [backup-simplify]: Simplify -1 into -1
13.820 * [taylor]: Taking taylor expansion of im in re
13.820 * [backup-simplify]: Simplify im into im
13.820 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
13.820 * [backup-simplify]: Simplify (* -1 -1) into 1
13.822 * [backup-simplify]: Simplify (+ 1 0) into 1
13.823 * [backup-simplify]: Simplify (sqrt 1) into 1
13.824 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
13.825 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
13.825 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
13.826 * [backup-simplify]: Simplify (+ 0 0) into 0
13.826 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.826 * [taylor]: Taking taylor expansion of (/ 1 re) in re
13.827 * [taylor]: Taking taylor expansion of re in re
13.827 * [backup-simplify]: Simplify 0 into 0
13.827 * [backup-simplify]: Simplify 1 into 1
13.827 * [backup-simplify]: Simplify (/ 1 1) into 1
13.827 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
13.827 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
13.827 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
13.827 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
13.827 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
13.827 * [taylor]: Taking taylor expansion of (/ -1 re) in re
13.827 * [taylor]: Taking taylor expansion of -1 in re
13.827 * [backup-simplify]: Simplify -1 into -1
13.827 * [taylor]: Taking taylor expansion of re in re
13.827 * [backup-simplify]: Simplify 0 into 0
13.827 * [backup-simplify]: Simplify 1 into 1
13.828 * [backup-simplify]: Simplify (/ -1 1) into -1
13.828 * [taylor]: Taking taylor expansion of (/ -1 re) in re
13.828 * [taylor]: Taking taylor expansion of -1 in re
13.828 * [backup-simplify]: Simplify -1 into -1
13.828 * [taylor]: Taking taylor expansion of re in re
13.828 * [backup-simplify]: Simplify 0 into 0
13.828 * [backup-simplify]: Simplify 1 into 1
13.829 * [backup-simplify]: Simplify (/ -1 1) into -1
13.829 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
13.829 * [taylor]: Taking taylor expansion of (/ -1 im) in re
13.829 * [taylor]: Taking taylor expansion of -1 in re
13.829 * [backup-simplify]: Simplify -1 into -1
13.829 * [taylor]: Taking taylor expansion of im in re
13.829 * [backup-simplify]: Simplify im into im
13.829 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
13.829 * [taylor]: Taking taylor expansion of (/ -1 im) in re
13.829 * [taylor]: Taking taylor expansion of -1 in re
13.829 * [backup-simplify]: Simplify -1 into -1
13.829 * [taylor]: Taking taylor expansion of im in re
13.829 * [backup-simplify]: Simplify im into im
13.829 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
13.829 * [backup-simplify]: Simplify (* -1 -1) into 1
13.830 * [backup-simplify]: Simplify (+ 1 0) into 1
13.830 * [backup-simplify]: Simplify (sqrt 1) into 1
13.831 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
13.832 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
13.832 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
13.832 * [backup-simplify]: Simplify (+ 0 0) into 0
13.833 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.833 * [taylor]: Taking taylor expansion of (/ 1 re) in re
13.833 * [taylor]: Taking taylor expansion of re in re
13.833 * [backup-simplify]: Simplify 0 into 0
13.833 * [backup-simplify]: Simplify 1 into 1
13.834 * [backup-simplify]: Simplify (/ 1 1) into 1
13.834 * [backup-simplify]: Simplify (- 1) into -1
13.834 * [backup-simplify]: Simplify (+ 1 -1) into 0
13.834 * [taylor]: Taking taylor expansion of 0 in im
13.834 * [backup-simplify]: Simplify 0 into 0
13.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.835 * [backup-simplify]: Simplify (- 0) into 0
13.836 * [backup-simplify]: Simplify (+ 0 0) into 0
13.836 * [taylor]: Taking taylor expansion of 0 in im
13.836 * [backup-simplify]: Simplify 0 into 0
13.836 * [backup-simplify]: Simplify 0 into 0
13.838 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.839 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.840 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
13.840 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
13.841 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
13.842 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
13.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.843 * [backup-simplify]: Simplify (- 0) into 0
13.844 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
13.844 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
13.844 * [taylor]: Taking taylor expansion of 1/2 in im
13.844 * [backup-simplify]: Simplify 1/2 into 1/2
13.844 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
13.844 * [taylor]: Taking taylor expansion of (pow im 2) in im
13.844 * [taylor]: Taking taylor expansion of im in im
13.844 * [backup-simplify]: Simplify 0 into 0
13.844 * [backup-simplify]: Simplify 1 into 1
13.844 * [backup-simplify]: Simplify (* 1 1) into 1
13.845 * [backup-simplify]: Simplify (/ 1 1) into 1
13.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.847 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
13.847 * [backup-simplify]: Simplify 0 into 0
13.847 * [backup-simplify]: Simplify 0 into 0
13.847 * [backup-simplify]: Simplify 0 into 0
13.851 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.852 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.854 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
13.854 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
13.854 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
13.854 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
13.854 * [backup-simplify]: Simplify (+ 0 0) into 0
13.855 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
13.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.856 * [backup-simplify]: Simplify (- 0) into 0
13.857 * [backup-simplify]: Simplify (+ 0 0) into 0
13.857 * [taylor]: Taking taylor expansion of 0 in im
13.857 * [backup-simplify]: Simplify 0 into 0
13.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.859 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
13.859 * [backup-simplify]: Simplify 0 into 0
13.859 * [backup-simplify]: Simplify 0 into 0
13.859 * [backup-simplify]: Simplify 0 into 0
13.860 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2)
13.860 * [backup-simplify]: Simplify (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) into (* (pow (+ re (hypot re im)) 1/6) (pow (sqrt 2.0) 1/3))
13.860 * [approximate]: Taking taylor expansion of (* (pow (+ re (hypot re im)) 1/6) (pow (sqrt 2.0) 1/3)) in (re im) around 0
13.860 * [taylor]: Taking taylor expansion of (* (pow (+ re (hypot re im)) 1/6) (pow (sqrt 2.0) 1/3)) in im
13.860 * [taylor]: Taking taylor expansion of (pow (+ re (hypot re im)) 1/6) in im
13.860 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ re (hypot re im))))) in im
13.860 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ re (hypot re im)))) in im
13.860 * [taylor]: Taking taylor expansion of 1/6 in im
13.860 * [backup-simplify]: Simplify 1/6 into 1/6
13.860 * [taylor]: Taking taylor expansion of (log (+ re (hypot re im))) in im
13.860 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im
13.860 * [taylor]: Taking taylor expansion of re in im
13.860 * [backup-simplify]: Simplify re into re
13.860 * [taylor]: Taking taylor expansion of (hypot re im) in im
13.860 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
13.860 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
13.860 * [taylor]: Taking taylor expansion of (* re re) in im
13.860 * [taylor]: Taking taylor expansion of re in im
13.860 * [backup-simplify]: Simplify re into re
13.860 * [taylor]: Taking taylor expansion of re in im
13.860 * [backup-simplify]: Simplify re into re
13.860 * [taylor]: Taking taylor expansion of (* im im) in im
13.860 * [taylor]: Taking taylor expansion of im in im
13.860 * [backup-simplify]: Simplify 0 into 0
13.861 * [backup-simplify]: Simplify 1 into 1
13.861 * [taylor]: Taking taylor expansion of im in im
13.861 * [backup-simplify]: Simplify 0 into 0
13.861 * [backup-simplify]: Simplify 1 into 1
13.861 * [backup-simplify]: Simplify (* re re) into (pow re 2)
13.861 * [backup-simplify]: Simplify (* 0 0) into 0
13.861 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
13.861 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
13.861 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
13.862 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
13.862 * [backup-simplify]: Simplify (+ 0 0) into 0
13.862 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
13.862 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
13.862 * [backup-simplify]: Simplify (log (* 2 re)) into (log (* 2 re))
13.862 * [backup-simplify]: Simplify (* 1/6 (log (* 2 re))) into (* 1/6 (log (* 2 re)))
13.862 * [backup-simplify]: Simplify (exp (* 1/6 (log (* 2 re)))) into (pow (* 2 re) 1/6)
13.862 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im
13.862 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im
13.862 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im
13.862 * [taylor]: Taking taylor expansion of 1/3 in im
13.862 * [backup-simplify]: Simplify 1/3 into 1/3
13.862 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im
13.862 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
13.862 * [taylor]: Taking taylor expansion of 2.0 in im
13.862 * [backup-simplify]: Simplify 2.0 into 2.0
13.863 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
13.863 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
13.864 * [backup-simplify]: Simplify (log (sqrt 2.0)) into (log (sqrt 2.0))
13.865 * [backup-simplify]: Simplify (* 1/3 (log (sqrt 2.0))) into (* 1/3 (log (sqrt 2.0)))
13.867 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt 2.0)))) into (pow (sqrt 2.0) 1/3)
13.867 * [taylor]: Taking taylor expansion of (* (pow (+ re (hypot re im)) 1/6) (pow (sqrt 2.0) 1/3)) in re
13.867 * [taylor]: Taking taylor expansion of (pow (+ re (hypot re im)) 1/6) in re
13.867 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ re (hypot re im))))) in re
13.867 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ re (hypot re im)))) in re
13.867 * [taylor]: Taking taylor expansion of 1/6 in re
13.867 * [backup-simplify]: Simplify 1/6 into 1/6
13.867 * [taylor]: Taking taylor expansion of (log (+ re (hypot re im))) in re
13.867 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
13.867 * [taylor]: Taking taylor expansion of re in re
13.867 * [backup-simplify]: Simplify 0 into 0
13.867 * [backup-simplify]: Simplify 1 into 1
13.867 * [taylor]: Taking taylor expansion of (hypot re im) in re
13.867 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
13.867 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
13.867 * [taylor]: Taking taylor expansion of (* re re) in re
13.867 * [taylor]: Taking taylor expansion of re in re
13.867 * [backup-simplify]: Simplify 0 into 0
13.867 * [backup-simplify]: Simplify 1 into 1
13.867 * [taylor]: Taking taylor expansion of re in re
13.867 * [backup-simplify]: Simplify 0 into 0
13.868 * [backup-simplify]: Simplify 1 into 1
13.868 * [taylor]: Taking taylor expansion of (* im im) in re
13.868 * [taylor]: Taking taylor expansion of im in re
13.868 * [backup-simplify]: Simplify im into im
13.868 * [taylor]: Taking taylor expansion of im in re
13.868 * [backup-simplify]: Simplify im into im
13.868 * [backup-simplify]: Simplify (* 0 0) into 0
13.868 * [backup-simplify]: Simplify (* im im) into (pow im 2)
13.868 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
13.868 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
13.870 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
13.870 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
13.870 * [backup-simplify]: Simplify (+ 0 0) into 0
13.870 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
13.870 * [backup-simplify]: Simplify (+ 0 im) into im
13.870 * [backup-simplify]: Simplify (log im) into (log im)
13.870 * [backup-simplify]: Simplify (* 1/6 (log im)) into (* 1/6 (log im))
13.870 * [backup-simplify]: Simplify (exp (* 1/6 (log im))) into (pow im 1/6)
13.870 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in re
13.870 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in re
13.870 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in re
13.870 * [taylor]: Taking taylor expansion of 1/3 in re
13.870 * [backup-simplify]: Simplify 1/3 into 1/3
13.871 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in re
13.871 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
13.871 * [taylor]: Taking taylor expansion of 2.0 in re
13.871 * [backup-simplify]: Simplify 2.0 into 2.0
13.871 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
13.872 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
13.872 * [backup-simplify]: Simplify (log (sqrt 2.0)) into (log (sqrt 2.0))
13.873 * [backup-simplify]: Simplify (* 1/3 (log (sqrt 2.0))) into (* 1/3 (log (sqrt 2.0)))
13.875 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt 2.0)))) into (pow (sqrt 2.0) 1/3)
13.875 * [taylor]: Taking taylor expansion of (* (pow (+ re (hypot re im)) 1/6) (pow (sqrt 2.0) 1/3)) in re
13.875 * [taylor]: Taking taylor expansion of (pow (+ re (hypot re im)) 1/6) in re
13.876 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ re (hypot re im))))) in re
13.876 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ re (hypot re im)))) in re
13.876 * [taylor]: Taking taylor expansion of 1/6 in re
13.876 * [backup-simplify]: Simplify 1/6 into 1/6
13.876 * [taylor]: Taking taylor expansion of (log (+ re (hypot re im))) in re
13.876 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
13.876 * [taylor]: Taking taylor expansion of re in re
13.876 * [backup-simplify]: Simplify 0 into 0
13.876 * [backup-simplify]: Simplify 1 into 1
13.876 * [taylor]: Taking taylor expansion of (hypot re im) in re
13.876 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
13.876 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
13.876 * [taylor]: Taking taylor expansion of (* re re) in re
13.876 * [taylor]: Taking taylor expansion of re in re
13.876 * [backup-simplify]: Simplify 0 into 0
13.876 * [backup-simplify]: Simplify 1 into 1
13.876 * [taylor]: Taking taylor expansion of re in re
13.876 * [backup-simplify]: Simplify 0 into 0
13.876 * [backup-simplify]: Simplify 1 into 1
13.876 * [taylor]: Taking taylor expansion of (* im im) in re
13.876 * [taylor]: Taking taylor expansion of im in re
13.876 * [backup-simplify]: Simplify im into im
13.876 * [taylor]: Taking taylor expansion of im in re
13.876 * [backup-simplify]: Simplify im into im
13.877 * [backup-simplify]: Simplify (* 0 0) into 0
13.877 * [backup-simplify]: Simplify (* im im) into (pow im 2)
13.877 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
13.877 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
13.878 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
13.878 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
13.878 * [backup-simplify]: Simplify (+ 0 0) into 0
13.879 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
13.879 * [backup-simplify]: Simplify (+ 0 im) into im
13.879 * [backup-simplify]: Simplify (log im) into (log im)
13.879 * [backup-simplify]: Simplify (* 1/6 (log im)) into (* 1/6 (log im))
13.879 * [backup-simplify]: Simplify (exp (* 1/6 (log im))) into (pow im 1/6)
13.879 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in re
13.879 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in re
13.879 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in re
13.879 * [taylor]: Taking taylor expansion of 1/3 in re
13.879 * [backup-simplify]: Simplify 1/3 into 1/3
13.879 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in re
13.879 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
13.879 * [taylor]: Taking taylor expansion of 2.0 in re
13.879 * [backup-simplify]: Simplify 2.0 into 2.0
13.880 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
13.880 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
13.881 * [backup-simplify]: Simplify (log (sqrt 2.0)) into (log (sqrt 2.0))
13.883 * [backup-simplify]: Simplify (* 1/3 (log (sqrt 2.0))) into (* 1/3 (log (sqrt 2.0)))
13.885 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt 2.0)))) into (pow (sqrt 2.0) 1/3)
13.886 * [backup-simplify]: Simplify (* (pow im 1/6) (pow (sqrt 2.0) 1/3)) into (* (pow (sqrt 2.0) 1/3) (pow im 1/6))
13.886 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (pow im 1/6)) in im
13.886 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im
13.886 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im
13.886 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im
13.886 * [taylor]: Taking taylor expansion of 1/3 in im
13.886 * [backup-simplify]: Simplify 1/3 into 1/3
13.886 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im
13.886 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
13.886 * [taylor]: Taking taylor expansion of 2.0 in im
13.886 * [backup-simplify]: Simplify 2.0 into 2.0
13.887 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
13.888 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
13.888 * [backup-simplify]: Simplify (log (sqrt 2.0)) into (log (sqrt 2.0))
13.890 * [backup-simplify]: Simplify (* 1/3 (log (sqrt 2.0))) into (* 1/3 (log (sqrt 2.0)))
13.892 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt 2.0)))) into (pow (sqrt 2.0) 1/3)
13.892 * [taylor]: Taking taylor expansion of (pow im 1/6) in im
13.892 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log im))) in im
13.892 * [taylor]: Taking taylor expansion of (* 1/6 (log im)) in im
13.892 * [taylor]: Taking taylor expansion of 1/6 in im
13.892 * [backup-simplify]: Simplify 1/6 into 1/6
13.892 * [taylor]: Taking taylor expansion of (log im) in im
13.892 * [taylor]: Taking taylor expansion of im in im
13.892 * [backup-simplify]: Simplify 0 into 0
13.892 * [backup-simplify]: Simplify 1 into 1
13.893 * [backup-simplify]: Simplify (log 1) into 0
13.893 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im)
13.893 * [backup-simplify]: Simplify (* 1/6 (log im)) into (* 1/6 (log im))
13.893 * [backup-simplify]: Simplify (exp (* 1/6 (log im))) into (pow im 1/6)
13.895 * [backup-simplify]: Simplify (* (pow (sqrt 2.0) 1/3) (pow im 1/6)) into (* (pow (sqrt 2.0) 1/3) (pow im 1/6))
13.896 * [backup-simplify]: Simplify (* (pow (sqrt 2.0) 1/3) (pow im 1/6)) into (* (pow (sqrt 2.0) 1/3) (pow im 1/6))
13.899 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2.0) 1)))) 1) into 0
13.900 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2.0)))) into 0
13.901 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
13.902 * [backup-simplify]: Simplify (+ 1 0) into 1
13.903 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow im 1)))) 1) into (/ 1 im)
13.904 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1 im)) (* 0 (log im))) into (* 1/6 (/ 1 im))
13.904 * [backup-simplify]: Simplify (* (exp (* 1/6 (log im))) (+ (* (/ (pow (* 1/6 (/ 1 im)) 1) 1)))) into (* 1/6 (pow (/ 1 (pow im 5)) 1/6))
13.905 * [backup-simplify]: Simplify (+ (* (pow im 1/6) 0) (* (* 1/6 (pow (/ 1 (pow im 5)) 1/6)) (pow (sqrt 2.0) 1/3))) into (* 1/6 (* (pow (sqrt 2.0) 1/3) (pow (/ 1 (pow im 5)) 1/6)))
13.906 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (sqrt 2.0) 1/3) (pow (/ 1 (pow im 5)) 1/6))) in im
13.906 * [taylor]: Taking taylor expansion of 1/6 in im
13.906 * [backup-simplify]: Simplify 1/6 into 1/6
13.906 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (pow (/ 1 (pow im 5)) 1/6)) in im
13.906 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im
13.906 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im
13.906 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im
13.906 * [taylor]: Taking taylor expansion of 1/3 in im
13.906 * [backup-simplify]: Simplify 1/3 into 1/3
13.906 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im
13.906 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
13.906 * [taylor]: Taking taylor expansion of 2.0 in im
13.906 * [backup-simplify]: Simplify 2.0 into 2.0
13.906 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
13.907 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
13.908 * [backup-simplify]: Simplify (log (sqrt 2.0)) into (log (sqrt 2.0))
13.909 * [backup-simplify]: Simplify (* 1/3 (log (sqrt 2.0))) into (* 1/3 (log (sqrt 2.0)))
13.912 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt 2.0)))) into (pow (sqrt 2.0) 1/3)
13.912 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/6) in im
13.912 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 (pow im 5))))) in im
13.912 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 (pow im 5)))) in im
13.912 * [taylor]: Taking taylor expansion of 1/6 in im
13.912 * [backup-simplify]: Simplify 1/6 into 1/6
13.912 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im
13.912 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im
13.912 * [taylor]: Taking taylor expansion of (pow im 5) in im
13.912 * [taylor]: Taking taylor expansion of im in im
13.912 * [backup-simplify]: Simplify 0 into 0
13.912 * [backup-simplify]: Simplify 1 into 1
13.912 * [backup-simplify]: Simplify (* 1 1) into 1
13.913 * [backup-simplify]: Simplify (* 1 1) into 1
13.913 * [backup-simplify]: Simplify (* 1 1) into 1
13.913 * [backup-simplify]: Simplify (/ 1 1) into 1
13.914 * [backup-simplify]: Simplify (log 1) into 0
13.914 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im)))
13.914 * [backup-simplify]: Simplify (* 1/6 (- (* 5 (log im)))) into (* -5/6 (log im))
13.915 * [backup-simplify]: Simplify (exp (* -5/6 (log im))) into (pow im -5/6)
13.916 * [backup-simplify]: Simplify (* (pow (sqrt 2.0) 1/3) (pow im -5/6)) into (* (pow (sqrt 2.0) 1/3) (pow (/ 1 (pow im 5)) 1/6))
13.918 * [backup-simplify]: Simplify (* 1/6 (* (pow (sqrt 2.0) 1/3) (pow (/ 1 (pow im 5)) 1/6))) into (* 1/6 (* (pow (sqrt 2.0) 1/3) (pow (/ 1 (pow im 5)) 1/6)))
13.919 * [backup-simplify]: Simplify (* 1/6 (* (pow (sqrt 2.0) 1/3) (pow (/ 1 (pow im 5)) 1/6))) into (* 1/6 (* (pow (sqrt 2.0) 1/3) (pow (/ 1 (pow im 5)) 1/6)))
13.921 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
13.921 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im)
13.922 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (log im))) into 0
13.923 * [backup-simplify]: Simplify (* (exp (* 1/6 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
13.924 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2.0) 1)))) 1) into 0
13.925 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2.0)))) into 0
13.927 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
13.929 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/3) 0) (* 0 (pow im 1/6))) into 0
13.929 * [backup-simplify]: Simplify 0 into 0
13.931 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
13.935 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2.0) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2.0) 1)))) 2) into 0
13.937 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2.0))))) into 0
13.939 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
13.940 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
13.941 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
13.942 * [backup-simplify]: Simplify (+ 1 0) into 1
13.942 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
13.943 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
13.944 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow im 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 im))) 1)) (pow im 1)))) 2) into 0
13.945 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 (/ 1 im)) (* 0 (log im)))) into 0
13.946 * [backup-simplify]: Simplify (* (exp (* 1/6 (log im))) (+ (* (/ (pow (* 1/6 (/ 1 im)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/72 (pow (/ 1 (pow im 11)) 1/6))
13.948 * [backup-simplify]: Simplify (+ (* (pow im 1/6) 0) (+ (* (* 1/6 (pow (/ 1 (pow im 5)) 1/6)) 0) (* (* 1/72 (pow (/ 1 (pow im 11)) 1/6)) (pow (sqrt 2.0) 1/3)))) into (* 1/72 (* (pow (sqrt 2.0) 1/3) (pow (/ 1 (pow im 11)) 1/6)))
13.948 * [taylor]: Taking taylor expansion of (* 1/72 (* (pow (sqrt 2.0) 1/3) (pow (/ 1 (pow im 11)) 1/6))) in im
13.948 * [taylor]: Taking taylor expansion of 1/72 in im
13.948 * [backup-simplify]: Simplify 1/72 into 1/72
13.948 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (pow (/ 1 (pow im 11)) 1/6)) in im
13.948 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im
13.948 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im
13.948 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im
13.948 * [taylor]: Taking taylor expansion of 1/3 in im
13.948 * [backup-simplify]: Simplify 1/3 into 1/3
13.948 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im
13.948 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
13.948 * [taylor]: Taking taylor expansion of 2.0 in im
13.948 * [backup-simplify]: Simplify 2.0 into 2.0
13.949 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
13.949 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
13.951 * [backup-simplify]: Simplify (log (sqrt 2.0)) into (log (sqrt 2.0))
13.953 * [backup-simplify]: Simplify (* 1/3 (log (sqrt 2.0))) into (* 1/3 (log (sqrt 2.0)))
13.955 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt 2.0)))) into (pow (sqrt 2.0) 1/3)
13.955 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 11)) 1/6) in im
13.955 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 (pow im 11))))) in im
13.956 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 (pow im 11)))) in im
13.956 * [taylor]: Taking taylor expansion of 1/6 in im
13.956 * [backup-simplify]: Simplify 1/6 into 1/6
13.956 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 11))) in im
13.956 * [taylor]: Taking taylor expansion of (/ 1 (pow im 11)) in im
13.956 * [taylor]: Taking taylor expansion of (pow im 11) in im
13.956 * [taylor]: Taking taylor expansion of im in im
13.956 * [backup-simplify]: Simplify 0 into 0
13.956 * [backup-simplify]: Simplify 1 into 1
13.957 * [backup-simplify]: Simplify (* 1 1) into 1
13.957 * [backup-simplify]: Simplify (* 1 1) into 1
13.958 * [backup-simplify]: Simplify (* 1 1) into 1
13.958 * [backup-simplify]: Simplify (* 1 1) into 1
13.959 * [backup-simplify]: Simplify (* 1 1) into 1
13.959 * [backup-simplify]: Simplify (/ 1 1) into 1
13.959 * [backup-simplify]: Simplify (log 1) into 0
13.960 * [backup-simplify]: Simplify (+ (* (- 11) (log im)) 0) into (- (* 11 (log im)))
13.960 * [backup-simplify]: Simplify (* 1/6 (- (* 11 (log im)))) into (* -11/6 (log im))
13.960 * [backup-simplify]: Simplify (exp (* -11/6 (log im))) into (pow im -11/6)
13.961 * [backup-simplify]: Simplify (* (pow (sqrt 2.0) 1/3) (pow im -11/6)) into (* (pow (sqrt 2.0) 1/3) (pow (/ 1 (pow im 11)) 1/6))
13.963 * [backup-simplify]: Simplify (* 1/72 (* (pow (sqrt 2.0) 1/3) (pow (/ 1 (pow im 11)) 1/6))) into (* 1/72 (* (pow (sqrt 2.0) 1/3) (pow (/ 1 (pow im 11)) 1/6)))
13.964 * [backup-simplify]: Simplify (* 1/72 (* (pow (sqrt 2.0) 1/3) (pow (/ 1 (pow im 11)) 1/6))) into (* 1/72 (* (pow (sqrt 2.0) 1/3) (pow (/ 1 (pow im 11)) 1/6)))
13.968 * [backup-simplify]: Simplify (+ (* (* 1/72 (* (pow (sqrt 2.0) 1/3) (pow (/ 1 (pow im 11)) 1/6))) (pow (* 1 re) 2)) (+ (* (* 1/6 (* (pow (sqrt 2.0) 1/3) (pow (/ 1 (pow im 5)) 1/6))) (* 1 re)) (* (pow (sqrt 2.0) 1/3) (pow im 1/6)))) into (+ (* 1/72 (* (pow (sqrt 2.0) 1/3) (* (pow (/ 1 (pow im 11)) 1/6) (pow re 2)))) (+ (* 1/6 (* (pow (sqrt 2.0) 1/3) (* (pow (/ 1 (pow im 5)) 1/6) re))) (* (pow (sqrt 2.0) 1/3) (pow im 1/6))))
13.969 * [backup-simplify]: Simplify (cbrt (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0))) into (* (pow (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/6) (pow (sqrt 2.0) 1/3))
13.969 * [approximate]: Taking taylor expansion of (* (pow (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/6) (pow (sqrt 2.0) 1/3)) in (re im) around 0
13.969 * [taylor]: Taking taylor expansion of (* (pow (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/6) (pow (sqrt 2.0) 1/3)) in im
13.969 * [taylor]: Taking taylor expansion of (pow (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/6) in im
13.969 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))))) in im
13.969 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in im
13.969 * [taylor]: Taking taylor expansion of 1/6 in im
13.969 * [backup-simplify]: Simplify 1/6 into 1/6
13.970 * [taylor]: Taking taylor expansion of (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im
13.970 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
13.970 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
13.970 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
13.970 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
13.970 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
13.970 * [taylor]: Taking taylor expansion of (/ 1 re) in im
13.970 * [taylor]: Taking taylor expansion of re in im
13.970 * [backup-simplify]: Simplify re into re
13.970 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
13.970 * [taylor]: Taking taylor expansion of (/ 1 re) in im
13.970 * [taylor]: Taking taylor expansion of re in im
13.970 * [backup-simplify]: Simplify re into re
13.970 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
13.970 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
13.970 * [taylor]: Taking taylor expansion of (/ 1 im) in im
13.970 * [taylor]: Taking taylor expansion of im in im
13.970 * [backup-simplify]: Simplify 0 into 0
13.970 * [backup-simplify]: Simplify 1 into 1
13.971 * [backup-simplify]: Simplify (/ 1 1) into 1
13.971 * [taylor]: Taking taylor expansion of (/ 1 im) in im
13.971 * [taylor]: Taking taylor expansion of im in im
13.971 * [backup-simplify]: Simplify 0 into 0
13.971 * [backup-simplify]: Simplify 1 into 1
13.971 * [backup-simplify]: Simplify (/ 1 1) into 1
13.972 * [backup-simplify]: Simplify (* 1 1) into 1
13.972 * [backup-simplify]: Simplify (+ 0 1) into 1
13.972 * [backup-simplify]: Simplify (sqrt 1) into 1
13.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.974 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.975 * [backup-simplify]: Simplify (+ 0 0) into 0
13.976 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.976 * [taylor]: Taking taylor expansion of (/ 1 re) in im
13.976 * [taylor]: Taking taylor expansion of re in im
13.976 * [backup-simplify]: Simplify re into re
13.976 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
13.976 * [backup-simplify]: Simplify (+ 1 0) into 1
13.976 * [backup-simplify]: Simplify (log 1) into 0
13.977 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
13.977 * [backup-simplify]: Simplify (* 1/6 (- (log im))) into (* -1/6 (log im))
13.977 * [backup-simplify]: Simplify (exp (* -1/6 (log im))) into (pow im -1/6)
13.977 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im
13.977 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im
13.977 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im
13.977 * [taylor]: Taking taylor expansion of 1/3 in im
13.977 * [backup-simplify]: Simplify 1/3 into 1/3
13.977 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im
13.977 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
13.977 * [taylor]: Taking taylor expansion of 2.0 in im
13.977 * [backup-simplify]: Simplify 2.0 into 2.0
13.978 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
13.979 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
13.979 * [backup-simplify]: Simplify (log (sqrt 2.0)) into (log (sqrt 2.0))
13.981 * [backup-simplify]: Simplify (* 1/3 (log (sqrt 2.0))) into (* 1/3 (log (sqrt 2.0)))
13.984 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt 2.0)))) into (pow (sqrt 2.0) 1/3)
13.984 * [taylor]: Taking taylor expansion of (* (pow (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/6) (pow (sqrt 2.0) 1/3)) in re
13.984 * [taylor]: Taking taylor expansion of (pow (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/6) in re
13.984 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))))) in re
13.984 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in re
13.984 * [taylor]: Taking taylor expansion of 1/6 in re
13.984 * [backup-simplify]: Simplify 1/6 into 1/6
13.984 * [taylor]: Taking taylor expansion of (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re
13.985 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
13.985 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
13.985 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
13.985 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
13.985 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
13.985 * [taylor]: Taking taylor expansion of (/ 1 re) in re
13.985 * [taylor]: Taking taylor expansion of re in re
13.985 * [backup-simplify]: Simplify 0 into 0
13.985 * [backup-simplify]: Simplify 1 into 1
13.986 * [backup-simplify]: Simplify (/ 1 1) into 1
13.986 * [taylor]: Taking taylor expansion of (/ 1 re) in re
13.986 * [taylor]: Taking taylor expansion of re in re
13.986 * [backup-simplify]: Simplify 0 into 0
13.986 * [backup-simplify]: Simplify 1 into 1
13.986 * [backup-simplify]: Simplify (/ 1 1) into 1
13.986 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
13.986 * [taylor]: Taking taylor expansion of (/ 1 im) in re
13.986 * [taylor]: Taking taylor expansion of im in re
13.986 * [backup-simplify]: Simplify im into im
13.986 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
13.986 * [taylor]: Taking taylor expansion of (/ 1 im) in re
13.986 * [taylor]: Taking taylor expansion of im in re
13.986 * [backup-simplify]: Simplify im into im
13.986 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
13.987 * [backup-simplify]: Simplify (* 1 1) into 1
13.987 * [backup-simplify]: Simplify (+ 1 0) into 1
13.988 * [backup-simplify]: Simplify (sqrt 1) into 1
13.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.990 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.991 * [backup-simplify]: Simplify (+ 0 0) into 0
13.991 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.991 * [taylor]: Taking taylor expansion of (/ 1 re) in re
13.991 * [taylor]: Taking taylor expansion of re in re
13.991 * [backup-simplify]: Simplify 0 into 0
13.991 * [backup-simplify]: Simplify 1 into 1
13.992 * [backup-simplify]: Simplify (/ 1 1) into 1
13.992 * [backup-simplify]: Simplify (+ 1 1) into 2
13.992 * [backup-simplify]: Simplify (log 2) into (log 2)
13.995 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) (log 2)) into (- (log 2) (log re))
13.996 * [backup-simplify]: Simplify (* 1/6 (- (log 2) (log re))) into (* 1/6 (- (log 2) (log re)))
13.996 * [backup-simplify]: Simplify (exp (* 1/6 (- (log 2) (log re)))) into (exp (* 1/6 (- (log 2) (log re))))
13.996 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in re
13.997 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in re
13.997 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in re
13.997 * [taylor]: Taking taylor expansion of 1/3 in re
13.997 * [backup-simplify]: Simplify 1/3 into 1/3
13.997 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in re
13.997 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
13.997 * [taylor]: Taking taylor expansion of 2.0 in re
13.997 * [backup-simplify]: Simplify 2.0 into 2.0
13.997 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
13.998 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
13.999 * [backup-simplify]: Simplify (log (sqrt 2.0)) into (log (sqrt 2.0))
14.000 * [backup-simplify]: Simplify (* 1/3 (log (sqrt 2.0))) into (* 1/3 (log (sqrt 2.0)))
14.002 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt 2.0)))) into (pow (sqrt 2.0) 1/3)
14.002 * [taylor]: Taking taylor expansion of (* (pow (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/6) (pow (sqrt 2.0) 1/3)) in re
14.002 * [taylor]: Taking taylor expansion of (pow (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/6) in re
14.002 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))))) in re
14.002 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in re
14.002 * [taylor]: Taking taylor expansion of 1/6 in re
14.002 * [backup-simplify]: Simplify 1/6 into 1/6
14.002 * [taylor]: Taking taylor expansion of (log (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re
14.002 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
14.002 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
14.003 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
14.003 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
14.003 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
14.003 * [taylor]: Taking taylor expansion of (/ 1 re) in re
14.003 * [taylor]: Taking taylor expansion of re in re
14.003 * [backup-simplify]: Simplify 0 into 0
14.003 * [backup-simplify]: Simplify 1 into 1
14.003 * [backup-simplify]: Simplify (/ 1 1) into 1
14.003 * [taylor]: Taking taylor expansion of (/ 1 re) in re
14.003 * [taylor]: Taking taylor expansion of re in re
14.003 * [backup-simplify]: Simplify 0 into 0
14.003 * [backup-simplify]: Simplify 1 into 1
14.004 * [backup-simplify]: Simplify (/ 1 1) into 1
14.004 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
14.004 * [taylor]: Taking taylor expansion of (/ 1 im) in re
14.004 * [taylor]: Taking taylor expansion of im in re
14.004 * [backup-simplify]: Simplify im into im
14.004 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
14.004 * [taylor]: Taking taylor expansion of (/ 1 im) in re
14.004 * [taylor]: Taking taylor expansion of im in re
14.004 * [backup-simplify]: Simplify im into im
14.004 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
14.004 * [backup-simplify]: Simplify (* 1 1) into 1
14.005 * [backup-simplify]: Simplify (+ 1 0) into 1
14.005 * [backup-simplify]: Simplify (sqrt 1) into 1
14.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.007 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.008 * [backup-simplify]: Simplify (+ 0 0) into 0
14.008 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.008 * [taylor]: Taking taylor expansion of (/ 1 re) in re
14.009 * [taylor]: Taking taylor expansion of re in re
14.009 * [backup-simplify]: Simplify 0 into 0
14.009 * [backup-simplify]: Simplify 1 into 1
14.009 * [backup-simplify]: Simplify (/ 1 1) into 1
14.009 * [backup-simplify]: Simplify (+ 1 1) into 2
14.010 * [backup-simplify]: Simplify (log 2) into (log 2)
14.011 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) (log 2)) into (- (log 2) (log re))
14.011 * [backup-simplify]: Simplify (* 1/6 (- (log 2) (log re))) into (* 1/6 (- (log 2) (log re)))
14.012 * [backup-simplify]: Simplify (exp (* 1/6 (- (log 2) (log re)))) into (exp (* 1/6 (- (log 2) (log re))))
14.012 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in re
14.012 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in re
14.012 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in re
14.012 * [taylor]: Taking taylor expansion of 1/3 in re
14.012 * [backup-simplify]: Simplify 1/3 into 1/3
14.012 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in re
14.012 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
14.012 * [taylor]: Taking taylor expansion of 2.0 in re
14.012 * [backup-simplify]: Simplify 2.0 into 2.0
14.012 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.013 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.018 * [backup-simplify]: Simplify (log (sqrt 2.0)) into (log (sqrt 2.0))
14.019 * [backup-simplify]: Simplify (* 1/3 (log (sqrt 2.0))) into (* 1/3 (log (sqrt 2.0)))
14.021 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt 2.0)))) into (pow (sqrt 2.0) 1/3)
14.023 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log 2) (log re)))) (pow (sqrt 2.0) 1/3)) into (* (pow (sqrt 2.0) 1/3) (exp (* 1/6 (- (log 2) (log re)))))
14.023 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (exp (* 1/6 (- (log 2) (log re))))) in im
14.023 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im
14.023 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im
14.023 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im
14.023 * [taylor]: Taking taylor expansion of 1/3 in im
14.023 * [backup-simplify]: Simplify 1/3 into 1/3
14.023 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im
14.023 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
14.023 * [taylor]: Taking taylor expansion of 2.0 in im
14.023 * [backup-simplify]: Simplify 2.0 into 2.0
14.024 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.024 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.025 * [backup-simplify]: Simplify (log (sqrt 2.0)) into (log (sqrt 2.0))
14.027 * [backup-simplify]: Simplify (* 1/3 (log (sqrt 2.0))) into (* 1/3 (log (sqrt 2.0)))
14.029 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt 2.0)))) into (pow (sqrt 2.0) 1/3)
14.029 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log 2) (log re)))) in im
14.029 * [taylor]: Taking taylor expansion of (* 1/6 (- (log 2) (log re))) in im
14.029 * [taylor]: Taking taylor expansion of 1/6 in im
14.029 * [backup-simplify]: Simplify 1/6 into 1/6
14.029 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im
14.029 * [taylor]: Taking taylor expansion of (log 2) in im
14.029 * [taylor]: Taking taylor expansion of 2 in im
14.029 * [backup-simplify]: Simplify 2 into 2
14.030 * [backup-simplify]: Simplify (log 2) into (log 2)
14.030 * [taylor]: Taking taylor expansion of (log re) in im
14.030 * [taylor]: Taking taylor expansion of re in im
14.030 * [backup-simplify]: Simplify re into re
14.030 * [backup-simplify]: Simplify (log re) into (log re)
14.030 * [backup-simplify]: Simplify (- (log re)) into (- (log re))
14.030 * [backup-simplify]: Simplify (+ (log 2) (- (log re))) into (- (log 2) (log re))
14.031 * [backup-simplify]: Simplify (* 1/6 (- (log 2) (log re))) into (* 1/6 (- (log 2) (log re)))
14.031 * [backup-simplify]: Simplify (exp (* 1/6 (- (log 2) (log re)))) into (exp (* 1/6 (- (log 2) (log re))))
14.033 * [backup-simplify]: Simplify (* (pow (sqrt 2.0) 1/3) (exp (* 1/6 (- (log 2) (log re))))) into (* (pow (sqrt 2.0) 1/3) (exp (* 1/6 (- (log 2) (log re)))))
14.034 * [backup-simplify]: Simplify (* (pow (sqrt 2.0) 1/3) (exp (* 1/6 (- (log 2) (log re))))) into (* (pow (sqrt 2.0) 1/3) (exp (* 1/6 (- (log 2) (log re)))))
14.036 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2.0) 1)))) 1) into 0
14.037 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2.0)))) into 0
14.038 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
14.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.040 * [backup-simplify]: Simplify (+ 0 0) into 0
14.041 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
14.042 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) (log 2)) into (- (log 2) (log re))
14.043 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (log 2) (log re)))) into 0
14.044 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log 2) (log re)))) (+ (* (/ (pow 0 1) 1)))) into 0
14.046 * [backup-simplify]: Simplify (+ (* (exp (* 1/6 (- (log 2) (log re)))) 0) (* 0 (pow (sqrt 2.0) 1/3))) into 0
14.046 * [taylor]: Taking taylor expansion of 0 in im
14.046 * [backup-simplify]: Simplify 0 into 0
14.046 * [backup-simplify]: Simplify 0 into 0
14.047 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
14.048 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
14.048 * [backup-simplify]: Simplify (- 0) into 0
14.049 * [backup-simplify]: Simplify (+ 0 0) into 0
14.050 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (log 2) (log re)))) into 0
14.051 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log 2) (log re)))) (+ (* (/ (pow 0 1) 1)))) into 0
14.053 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2.0) 1)))) 1) into 0
14.054 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2.0)))) into 0
14.056 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
14.057 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/3) 0) (* 0 (exp (* 1/6 (- (log 2) (log re)))))) into 0
14.057 * [backup-simplify]: Simplify 0 into 0
14.059 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
14.062 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2.0) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2.0) 1)))) 2) into 0
14.064 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2.0))))) into 0
14.067 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.072 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
14.072 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
14.074 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
14.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.076 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
14.078 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (pow im 2)))) 1)) (pow 2 1)))) 2) into (/ 1/4 (pow im 2))
14.079 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) (log 2)) into (- (log 2) (log re))
14.080 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1/4 (pow im 2))) (+ (* 0 0) (* 0 (- (log 2) (log re))))) into (* 1/24 (/ 1 (pow im 2)))
14.082 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log 2) (log re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/24 (/ 1 (pow im 2))) 1) 1)))) into (* 1/24 (/ (exp (* 1/6 (- (log 2) (log re)))) (pow im 2)))
14.085 * [backup-simplify]: Simplify (+ (* (exp (* 1/6 (- (log 2) (log re)))) 0) (+ (* 0 0) (* (* 1/24 (/ (exp (* 1/6 (- (log 2) (log re)))) (pow im 2))) (pow (sqrt 2.0) 1/3)))) into (* 1/24 (* (pow (sqrt 2.0) 1/3) (/ (exp (* 1/6 (- (log 2) (log re)))) (pow im 2))))
14.085 * [taylor]: Taking taylor expansion of (* 1/24 (* (pow (sqrt 2.0) 1/3) (/ (exp (* 1/6 (- (log 2) (log re)))) (pow im 2)))) in im
14.085 * [taylor]: Taking taylor expansion of 1/24 in im
14.085 * [backup-simplify]: Simplify 1/24 into 1/24
14.085 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (/ (exp (* 1/6 (- (log 2) (log re)))) (pow im 2))) in im
14.085 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im
14.085 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im
14.085 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im
14.085 * [taylor]: Taking taylor expansion of 1/3 in im
14.085 * [backup-simplify]: Simplify 1/3 into 1/3
14.085 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im
14.085 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
14.085 * [taylor]: Taking taylor expansion of 2.0 in im
14.085 * [backup-simplify]: Simplify 2.0 into 2.0
14.086 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.088 * [backup-simplify]: Simplify (log (sqrt 2.0)) into (log (sqrt 2.0))
14.089 * [backup-simplify]: Simplify (* 1/3 (log (sqrt 2.0))) into (* 1/3 (log (sqrt 2.0)))
14.091 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt 2.0)))) into (pow (sqrt 2.0) 1/3)
14.091 * [taylor]: Taking taylor expansion of (/ (exp (* 1/6 (- (log 2) (log re)))) (pow im 2)) in im
14.091 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log 2) (log re)))) in im
14.091 * [taylor]: Taking taylor expansion of (* 1/6 (- (log 2) (log re))) in im
14.091 * [taylor]: Taking taylor expansion of 1/6 in im
14.091 * [backup-simplify]: Simplify 1/6 into 1/6
14.091 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im
14.091 * [taylor]: Taking taylor expansion of (log 2) in im
14.091 * [taylor]: Taking taylor expansion of 2 in im
14.092 * [backup-simplify]: Simplify 2 into 2
14.092 * [backup-simplify]: Simplify (log 2) into (log 2)
14.092 * [taylor]: Taking taylor expansion of (log re) in im
14.092 * [taylor]: Taking taylor expansion of re in im
14.092 * [backup-simplify]: Simplify re into re
14.092 * [backup-simplify]: Simplify (log re) into (log re)
14.092 * [backup-simplify]: Simplify (- (log re)) into (- (log re))
14.093 * [backup-simplify]: Simplify (+ (log 2) (- (log re))) into (- (log 2) (log re))
14.093 * [backup-simplify]: Simplify (* 1/6 (- (log 2) (log re))) into (* 1/6 (- (log 2) (log re)))
14.094 * [backup-simplify]: Simplify (exp (* 1/6 (- (log 2) (log re)))) into (exp (* 1/6 (- (log 2) (log re))))
14.094 * [taylor]: Taking taylor expansion of (pow im 2) in im
14.094 * [taylor]: Taking taylor expansion of im in im
14.094 * [backup-simplify]: Simplify 0 into 0
14.094 * [backup-simplify]: Simplify 1 into 1
14.094 * [backup-simplify]: Simplify (* 1 1) into 1
14.095 * [backup-simplify]: Simplify (/ (exp (* 1/6 (- (log 2) (log re)))) 1) into (exp (* 1/6 (- (log 2) (log re))))
14.096 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
14.097 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
14.098 * [backup-simplify]: Simplify (- 0) into 0
14.098 * [backup-simplify]: Simplify (+ 0 0) into 0
14.099 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (log 2) (log re)))) into 0
14.102 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
14.104 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
14.104 * [backup-simplify]: Simplify (- 0) into 0
14.105 * [backup-simplify]: Simplify (+ 0 0) into 0
14.106 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (- (log 2) (log re))))) into 0
14.108 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log 2) (log re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.111 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log 2) (log re)))) (+ (* (/ (pow 0 1) 1)))) into 0
14.112 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/6 (- (log 2) (log re)))) (/ 0 1)))) into 0
14.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/6 (- (log 2) (log re)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.116 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2.0) 1)))) 1) into 0
14.118 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2.0)))) into 0
14.120 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
14.122 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
14.126 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2.0) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2.0) 1)))) 2) into 0
14.127 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2.0))))) into 0
14.130 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.132 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/3) 0) (+ (* 0 0) (* 0 (exp (* 1/6 (- (log 2) (log re))))))) into 0
14.133 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/3) 0) (* 0 (exp (* 1/6 (- (log 2) (log re)))))) into 0
14.134 * [backup-simplify]: Simplify (* (pow (sqrt 2.0) 1/3) (exp (* 1/6 (- (log 2) (log re))))) into (* (pow (sqrt 2.0) 1/3) (exp (* 1/6 (- (log 2) (log re)))))
14.137 * [backup-simplify]: Simplify (+ (* 1/24 0) (+ (* 0 0) (* 0 (* (pow (sqrt 2.0) 1/3) (exp (* 1/6 (- (log 2) (log re)))))))) into 0
14.137 * [backup-simplify]: Simplify 0 into 0
14.137 * [backup-simplify]: Simplify 0 into 0
14.140 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
14.142 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
14.142 * [backup-simplify]: Simplify (- 0) into 0
14.143 * [backup-simplify]: Simplify (+ 0 0) into 0
14.144 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (- (log 2) (log re))))) into 0
14.146 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log 2) (log re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.147 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
14.151 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2.0) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2.0) 1)))) 2) into 0
14.152 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2.0))))) into 0
14.155 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.157 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/3) 0) (+ (* 0 0) (* 0 (exp (* 1/6 (- (log 2) (log re))))))) into 0
14.157 * [backup-simplify]: Simplify 0 into 0
14.158 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
14.164 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2.0) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2.0) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2.0) 1)))) 6) into 0
14.166 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2.0)))))) into 0
14.169 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
14.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.172 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
14.172 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
14.173 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
14.173 * [backup-simplify]: Simplify (+ 0 0) into 0
14.174 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
14.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.175 * [backup-simplify]: Simplify (+ 0 0) into 0
14.180 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/2 (/ 1 (pow im 2)))) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0
14.185 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) (log 2)) into (- (log 2) (log re))
14.187 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 (/ 1/4 (pow im 2))) (+ (* 0 0) (* 0 (- (log 2) (log re)))))) into 0
14.190 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log 2) (log re)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/24 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
14.192 * [backup-simplify]: Simplify (+ (* (exp (* 1/6 (- (log 2) (log re)))) 0) (+ (* 0 0) (+ (* (* 1/24 (/ (exp (* 1/6 (- (log 2) (log re)))) (pow im 2))) 0) (* 0 (pow (sqrt 2.0) 1/3))))) into 0
14.192 * [taylor]: Taking taylor expansion of 0 in im
14.192 * [backup-simplify]: Simplify 0 into 0
14.193 * [backup-simplify]: Simplify 0 into 0
14.194 * [backup-simplify]: Simplify (* (pow (sqrt 2.0) 1/3) (exp (* 1/6 (- (log 2) (log (/ 1 re)))))) into (* (pow (sqrt 2.0) 1/3) (exp (* 1/6 (- (log 2) (log (/ 1 re))))))
14.195 * [backup-simplify]: Simplify (cbrt (* (sqrt (+ (/ 1 (- re)) (hypot (/ 1 (- re)) (/ 1 (- im))))) (sqrt 2.0))) into (* (pow (sqrt 2.0) 1/3) (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/6))
14.195 * [approximate]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/6)) in (re im) around 0
14.195 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/6)) in im
14.195 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im
14.195 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im
14.195 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im
14.195 * [taylor]: Taking taylor expansion of 1/3 in im
14.196 * [backup-simplify]: Simplify 1/3 into 1/3
14.196 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im
14.196 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
14.196 * [taylor]: Taking taylor expansion of 2.0 in im
14.196 * [backup-simplify]: Simplify 2.0 into 2.0
14.196 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.197 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.198 * [backup-simplify]: Simplify (log (sqrt 2.0)) into (log (sqrt 2.0))
14.199 * [backup-simplify]: Simplify (* 1/3 (log (sqrt 2.0))) into (* 1/3 (log (sqrt 2.0)))
14.201 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt 2.0)))) into (pow (sqrt 2.0) 1/3)
14.201 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/6) in im
14.201 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in im
14.201 * [taylor]: Taking taylor expansion of (* 1/6 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im
14.201 * [taylor]: Taking taylor expansion of 1/6 in im
14.201 * [backup-simplify]: Simplify 1/6 into 1/6
14.201 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im
14.201 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
14.201 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
14.202 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
14.202 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
14.202 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
14.202 * [taylor]: Taking taylor expansion of (/ -1 re) in im
14.202 * [taylor]: Taking taylor expansion of -1 in im
14.202 * [backup-simplify]: Simplify -1 into -1
14.202 * [taylor]: Taking taylor expansion of re in im
14.202 * [backup-simplify]: Simplify re into re
14.202 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
14.202 * [taylor]: Taking taylor expansion of (/ -1 re) in im
14.202 * [taylor]: Taking taylor expansion of -1 in im
14.202 * [backup-simplify]: Simplify -1 into -1
14.202 * [taylor]: Taking taylor expansion of re in im
14.202 * [backup-simplify]: Simplify re into re
14.202 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
14.202 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
14.202 * [taylor]: Taking taylor expansion of (/ -1 im) in im
14.202 * [taylor]: Taking taylor expansion of -1 in im
14.202 * [backup-simplify]: Simplify -1 into -1
14.202 * [taylor]: Taking taylor expansion of im in im
14.202 * [backup-simplify]: Simplify 0 into 0
14.202 * [backup-simplify]: Simplify 1 into 1
14.203 * [backup-simplify]: Simplify (/ -1 1) into -1
14.203 * [taylor]: Taking taylor expansion of (/ -1 im) in im
14.203 * [taylor]: Taking taylor expansion of -1 in im
14.203 * [backup-simplify]: Simplify -1 into -1
14.203 * [taylor]: Taking taylor expansion of im in im
14.203 * [backup-simplify]: Simplify 0 into 0
14.203 * [backup-simplify]: Simplify 1 into 1
14.204 * [backup-simplify]: Simplify (/ -1 1) into -1
14.204 * [backup-simplify]: Simplify (* -1 -1) into 1
14.205 * [backup-simplify]: Simplify (+ 0 1) into 1
14.205 * [backup-simplify]: Simplify (sqrt 1) into 1
14.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
14.207 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
14.207 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
14.208 * [backup-simplify]: Simplify (+ 0 0) into 0
14.208 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.208 * [taylor]: Taking taylor expansion of (/ 1 re) in im
14.208 * [taylor]: Taking taylor expansion of re in im
14.208 * [backup-simplify]: Simplify re into re
14.209 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
14.209 * [backup-simplify]: Simplify (+ 1 0) into 1
14.209 * [backup-simplify]: Simplify (log 1) into 0
14.210 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
14.210 * [backup-simplify]: Simplify (* 1/6 (- (log im))) into (* -1/6 (log im))
14.210 * [backup-simplify]: Simplify (exp (* -1/6 (log im))) into (pow im -1/6)
14.210 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/6)) in re
14.210 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in re
14.210 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in re
14.210 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in re
14.210 * [taylor]: Taking taylor expansion of 1/3 in re
14.210 * [backup-simplify]: Simplify 1/3 into 1/3
14.210 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in re
14.210 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
14.210 * [taylor]: Taking taylor expansion of 2.0 in re
14.210 * [backup-simplify]: Simplify 2.0 into 2.0
14.211 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.211 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.212 * [backup-simplify]: Simplify (log (sqrt 2.0)) into (log (sqrt 2.0))
14.214 * [backup-simplify]: Simplify (* 1/3 (log (sqrt 2.0))) into (* 1/3 (log (sqrt 2.0)))
14.216 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt 2.0)))) into (pow (sqrt 2.0) 1/3)
14.216 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/6) in re
14.216 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re
14.216 * [taylor]: Taking taylor expansion of (* 1/6 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re
14.216 * [taylor]: Taking taylor expansion of 1/6 in re
14.216 * [backup-simplify]: Simplify 1/6 into 1/6
14.216 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
14.216 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
14.216 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
14.216 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
14.216 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
14.216 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
14.216 * [taylor]: Taking taylor expansion of (/ -1 re) in re
14.216 * [taylor]: Taking taylor expansion of -1 in re
14.216 * [backup-simplify]: Simplify -1 into -1
14.216 * [taylor]: Taking taylor expansion of re in re
14.217 * [backup-simplify]: Simplify 0 into 0
14.217 * [backup-simplify]: Simplify 1 into 1
14.217 * [backup-simplify]: Simplify (/ -1 1) into -1
14.217 * [taylor]: Taking taylor expansion of (/ -1 re) in re
14.218 * [taylor]: Taking taylor expansion of -1 in re
14.218 * [backup-simplify]: Simplify -1 into -1
14.218 * [taylor]: Taking taylor expansion of re in re
14.218 * [backup-simplify]: Simplify 0 into 0
14.218 * [backup-simplify]: Simplify 1 into 1
14.218 * [backup-simplify]: Simplify (/ -1 1) into -1
14.218 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
14.218 * [taylor]: Taking taylor expansion of (/ -1 im) in re
14.218 * [taylor]: Taking taylor expansion of -1 in re
14.218 * [backup-simplify]: Simplify -1 into -1
14.218 * [taylor]: Taking taylor expansion of im in re
14.218 * [backup-simplify]: Simplify im into im
14.219 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
14.219 * [taylor]: Taking taylor expansion of (/ -1 im) in re
14.219 * [taylor]: Taking taylor expansion of -1 in re
14.219 * [backup-simplify]: Simplify -1 into -1
14.219 * [taylor]: Taking taylor expansion of im in re
14.219 * [backup-simplify]: Simplify im into im
14.219 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
14.219 * [backup-simplify]: Simplify (* -1 -1) into 1
14.220 * [backup-simplify]: Simplify (+ 1 0) into 1
14.220 * [backup-simplify]: Simplify (sqrt 1) into 1
14.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
14.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
14.222 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
14.223 * [backup-simplify]: Simplify (+ 0 0) into 0
14.223 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.223 * [taylor]: Taking taylor expansion of (/ 1 re) in re
14.223 * [taylor]: Taking taylor expansion of re in re
14.223 * [backup-simplify]: Simplify 0 into 0
14.223 * [backup-simplify]: Simplify 1 into 1
14.224 * [backup-simplify]: Simplify (/ 1 1) into 1
14.224 * [backup-simplify]: Simplify (- 1) into -1
14.225 * [backup-simplify]: Simplify (+ 1 -1) into 0
14.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.226 * [backup-simplify]: Simplify (- 0) into 0
14.226 * [backup-simplify]: Simplify (+ 0 0) into 0
14.227 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.228 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.229 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
14.230 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
14.230 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
14.231 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
14.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.232 * [backup-simplify]: Simplify (- 0) into 0
14.232 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
14.233 * [backup-simplify]: Simplify (log (* 1/2 (/ 1 (pow im 2)))) into (log (/ 1/2 (pow im 2)))
14.233 * [backup-simplify]: Simplify (+ (* (- -1) (log re)) (log (/ 1/2 (pow im 2)))) into (+ (log (/ 1/2 (pow im 2))) (log re))
14.233 * [backup-simplify]: Simplify (* 1/6 (+ (log (/ 1/2 (pow im 2))) (log re))) into (* 1/6 (+ (log (/ 1/2 (pow im 2))) (log re)))
14.234 * [backup-simplify]: Simplify (exp (* 1/6 (+ (log (/ 1/2 (pow im 2))) (log re)))) into (exp (* 1/6 (+ (log (/ 1/2 (pow im 2))) (log re))))
14.234 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/6)) in re
14.234 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in re
14.234 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in re
14.234 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in re
14.234 * [taylor]: Taking taylor expansion of 1/3 in re
14.234 * [backup-simplify]: Simplify 1/3 into 1/3
14.234 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in re
14.234 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
14.234 * [taylor]: Taking taylor expansion of 2.0 in re
14.234 * [backup-simplify]: Simplify 2.0 into 2.0
14.235 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.235 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.236 * [backup-simplify]: Simplify (log (sqrt 2.0)) into (log (sqrt 2.0))
14.237 * [backup-simplify]: Simplify (* 1/3 (log (sqrt 2.0))) into (* 1/3 (log (sqrt 2.0)))
14.240 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt 2.0)))) into (pow (sqrt 2.0) 1/3)
14.240 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/6) in re
14.240 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re
14.240 * [taylor]: Taking taylor expansion of (* 1/6 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re
14.240 * [taylor]: Taking taylor expansion of 1/6 in re
14.240 * [backup-simplify]: Simplify 1/6 into 1/6
14.240 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
14.240 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
14.240 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
14.240 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
14.240 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
14.240 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
14.240 * [taylor]: Taking taylor expansion of (/ -1 re) in re
14.240 * [taylor]: Taking taylor expansion of -1 in re
14.240 * [backup-simplify]: Simplify -1 into -1
14.240 * [taylor]: Taking taylor expansion of re in re
14.240 * [backup-simplify]: Simplify 0 into 0
14.240 * [backup-simplify]: Simplify 1 into 1
14.241 * [backup-simplify]: Simplify (/ -1 1) into -1
14.241 * [taylor]: Taking taylor expansion of (/ -1 re) in re
14.241 * [taylor]: Taking taylor expansion of -1 in re
14.241 * [backup-simplify]: Simplify -1 into -1
14.241 * [taylor]: Taking taylor expansion of re in re
14.241 * [backup-simplify]: Simplify 0 into 0
14.241 * [backup-simplify]: Simplify 1 into 1
14.242 * [backup-simplify]: Simplify (/ -1 1) into -1
14.242 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
14.242 * [taylor]: Taking taylor expansion of (/ -1 im) in re
14.242 * [taylor]: Taking taylor expansion of -1 in re
14.242 * [backup-simplify]: Simplify -1 into -1
14.242 * [taylor]: Taking taylor expansion of im in re
14.242 * [backup-simplify]: Simplify im into im
14.242 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
14.242 * [taylor]: Taking taylor expansion of (/ -1 im) in re
14.242 * [taylor]: Taking taylor expansion of -1 in re
14.242 * [backup-simplify]: Simplify -1 into -1
14.242 * [taylor]: Taking taylor expansion of im in re
14.242 * [backup-simplify]: Simplify im into im
14.242 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
14.242 * [backup-simplify]: Simplify (* -1 -1) into 1
14.243 * [backup-simplify]: Simplify (+ 1 0) into 1
14.243 * [backup-simplify]: Simplify (sqrt 1) into 1
14.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
14.245 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
14.245 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
14.246 * [backup-simplify]: Simplify (+ 0 0) into 0
14.246 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
14.246 * [taylor]: Taking taylor expansion of (/ 1 re) in re
14.247 * [taylor]: Taking taylor expansion of re in re
14.247 * [backup-simplify]: Simplify 0 into 0
14.247 * [backup-simplify]: Simplify 1 into 1
14.247 * [backup-simplify]: Simplify (/ 1 1) into 1
14.247 * [backup-simplify]: Simplify (- 1) into -1
14.248 * [backup-simplify]: Simplify (+ 1 -1) into 0
14.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.249 * [backup-simplify]: Simplify (- 0) into 0
14.249 * [backup-simplify]: Simplify (+ 0 0) into 0
14.250 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.252 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
14.252 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
14.252 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
14.254 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
14.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.255 * [backup-simplify]: Simplify (- 0) into 0
14.255 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
14.255 * [backup-simplify]: Simplify (log (* 1/2 (/ 1 (pow im 2)))) into (log (/ 1/2 (pow im 2)))
14.256 * [backup-simplify]: Simplify (+ (* (- -1) (log re)) (log (/ 1/2 (pow im 2)))) into (+ (log (/ 1/2 (pow im 2))) (log re))
14.256 * [backup-simplify]: Simplify (* 1/6 (+ (log (/ 1/2 (pow im 2))) (log re))) into (* 1/6 (+ (log (/ 1/2 (pow im 2))) (log re)))
14.256 * [backup-simplify]: Simplify (exp (* 1/6 (+ (log (/ 1/2 (pow im 2))) (log re)))) into (exp (* 1/6 (+ (log (/ 1/2 (pow im 2))) (log re))))
14.258 * [backup-simplify]: Simplify (* (pow (sqrt 2.0) 1/3) (exp (* 1/6 (+ (log (/ 1/2 (pow im 2))) (log re))))) into (* (pow (sqrt 2.0) 1/3) (exp (* 1/6 (+ (log (/ 1/2 (pow im 2))) (log re)))))
14.258 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (exp (* 1/6 (+ (log (/ 1/2 (pow im 2))) (log re))))) in im
14.258 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im
14.258 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im
14.258 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im
14.258 * [taylor]: Taking taylor expansion of 1/3 in im
14.258 * [backup-simplify]: Simplify 1/3 into 1/3
14.258 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im
14.258 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
14.258 * [taylor]: Taking taylor expansion of 2.0 in im
14.258 * [backup-simplify]: Simplify 2.0 into 2.0
14.258 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.260 * [backup-simplify]: Simplify (log (sqrt 2.0)) into (log (sqrt 2.0))
14.261 * [backup-simplify]: Simplify (* 1/3 (log (sqrt 2.0))) into (* 1/3 (log (sqrt 2.0)))
14.263 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt 2.0)))) into (pow (sqrt 2.0) 1/3)
14.263 * [taylor]: Taking taylor expansion of (exp (* 1/6 (+ (log (/ 1/2 (pow im 2))) (log re)))) in im
14.263 * [taylor]: Taking taylor expansion of (* 1/6 (+ (log (/ 1/2 (pow im 2))) (log re))) in im
14.263 * [taylor]: Taking taylor expansion of 1/6 in im
14.263 * [backup-simplify]: Simplify 1/6 into 1/6
14.263 * [taylor]: Taking taylor expansion of (+ (log (/ 1/2 (pow im 2))) (log re)) in im
14.263 * [taylor]: Taking taylor expansion of (log (/ 1/2 (pow im 2))) in im
14.263 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
14.263 * [taylor]: Taking taylor expansion of 1/2 in im
14.264 * [backup-simplify]: Simplify 1/2 into 1/2
14.264 * [taylor]: Taking taylor expansion of (pow im 2) in im
14.264 * [taylor]: Taking taylor expansion of im in im
14.264 * [backup-simplify]: Simplify 0 into 0
14.264 * [backup-simplify]: Simplify 1 into 1
14.264 * [backup-simplify]: Simplify (* 1 1) into 1
14.264 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
14.265 * [backup-simplify]: Simplify (log 1/2) into (log 1/2)
14.265 * [taylor]: Taking taylor expansion of (log re) in im
14.265 * [taylor]: Taking taylor expansion of re in im
14.265 * [backup-simplify]: Simplify re into re
14.265 * [backup-simplify]: Simplify (log re) into (log re)
14.266 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) (log 1/2)) into (- (log 1/2) (* 2 (log im)))
14.266 * [backup-simplify]: Simplify (+ (- (log 1/2) (* 2 (log im))) (log re)) into (- (+ (log re) (log 1/2)) (* 2 (log im)))
14.267 * [backup-simplify]: Simplify (* 1/6 (- (+ (log re) (log 1/2)) (* 2 (log im)))) into (* 1/6 (- (+ (log re) (log 1/2)) (* 2 (log im))))
14.267 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (log re) (log 1/2)) (* 2 (log im))))) into (exp (* 1/6 (- (+ (log re) (log 1/2)) (* 2 (log im)))))
14.269 * [backup-simplify]: Simplify (* (pow (sqrt 2.0) 1/3) (exp (* 1/6 (- (+ (log re) (log 1/2)) (* 2 (log im)))))) into (* (exp (* 1/6 (- (+ (log re) (log 1/2)) (* 2 (log im))))) (pow (sqrt 2.0) 1/3))
14.270 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (log re) (log 1/2)) (* 2 (log im))))) (pow (sqrt 2.0) 1/3)) into (* (exp (* 1/6 (- (+ (log re) (log 1/2)) (* 2 (log im))))) (pow (sqrt 2.0) 1/3))
14.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.273 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.274 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
14.274 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
14.274 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
14.274 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
14.275 * [backup-simplify]: Simplify (+ 0 0) into 0
14.275 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
14.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.277 * [backup-simplify]: Simplify (- 0) into 0
14.277 * [backup-simplify]: Simplify (+ 0 0) into 0
14.278 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ 1 (pow im 2))) 1)))) 1) into 0
14.279 * [backup-simplify]: Simplify (+ (* (- -1) (log re)) (log (/ 1/2 (pow im 2)))) into (+ (log (/ 1/2 (pow im 2))) (log re))
14.280 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (+ (log (/ 1/2 (pow im 2))) (log re)))) into 0
14.281 * [backup-simplify]: Simplify (* (exp (* 1/6 (+ (log (/ 1/2 (pow im 2))) (log re)))) (+ (* (/ (pow 0 1) 1)))) into 0
14.283 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2.0) 1)))) 1) into 0
14.284 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2.0)))) into 0
14.285 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
14.286 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/3) 0) (* 0 (exp (* 1/6 (+ (log (/ 1/2 (pow im 2))) (log re)))))) into 0
14.287 * [taylor]: Taking taylor expansion of 0 in im
14.287 * [backup-simplify]: Simplify 0 into 0
14.287 * [backup-simplify]: Simplify 0 into 0
14.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.288 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
14.290 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0
14.291 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
14.291 * [backup-simplify]: Simplify (+ 0 0) into 0
14.292 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (+ (log re) (log 1/2)) (* 2 (log im))))) into 0
14.294 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (log re) (log 1/2)) (* 2 (log im))))) (+ (* (/ (pow 0 1) 1)))) into 0
14.296 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2.0) 1)))) 1) into 0
14.297 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2.0)))) into 0
14.299 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
14.300 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/3) 0) (* 0 (exp (* 1/6 (- (+ (log re) (log 1/2)) (* 2 (log im))))))) into 0
14.300 * [backup-simplify]: Simplify 0 into 0
14.301 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.302 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.304 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
14.304 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
14.304 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
14.305 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0
14.305 * [backup-simplify]: Simplify (+ 0 0) into 0
14.306 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
14.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.308 * [backup-simplify]: Simplify (- 0) into 0
14.308 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
14.310 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ 1 (pow im 2))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/8 (/ 1 (pow im 4))))) 1)) (pow (* 1/2 (/ 1 (pow im 2))) 1)))) 2) into (/ -1/4 (pow im 2))
14.310 * [backup-simplify]: Simplify (+ (* (- -1) (log re)) (log (/ 1/2 (pow im 2)))) into (+ (log (/ 1/2 (pow im 2))) (log re))
14.311 * [backup-simplify]: Simplify (+ (* 1/6 (/ -1/4 (pow im 2))) (+ (* 0 0) (* 0 (+ (log (/ 1/2 (pow im 2))) (log re))))) into (- (* 1/24 (/ 1 (pow im 2))))
14.313 * [backup-simplify]: Simplify (* (exp (* 1/6 (+ (log (/ 1/2 (pow im 2))) (log re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/24 (/ 1 (pow im 2)))) 1) 1)))) into (* -1/24 (/ (exp (* 1/6 (+ (log (/ 1/2 (pow im 2))) (log re)))) (pow im 2)))
14.314 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
14.315 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2.0) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2.0) 1)))) 2) into 0
14.316 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2.0))))) into 0
14.318 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.319 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/3) (* -1/24 (/ (exp (* 1/6 (+ (log (/ 1/2 (pow im 2))) (log re)))) (pow im 2)))) (+ (* 0 0) (* 0 (exp (* 1/6 (+ (log (/ 1/2 (pow im 2))) (log re))))))) into (- (* 1/24 (* (pow (sqrt 2.0) 1/3) (/ (exp (* 1/6 (+ (log (/ 1/2 (pow im 2))) (log re)))) (pow im 2)))))
14.319 * [taylor]: Taking taylor expansion of (- (* 1/24 (* (pow (sqrt 2.0) 1/3) (/ (exp (* 1/6 (+ (log (/ 1/2 (pow im 2))) (log re)))) (pow im 2))))) in im
14.319 * [taylor]: Taking taylor expansion of (* 1/24 (* (pow (sqrt 2.0) 1/3) (/ (exp (* 1/6 (+ (log (/ 1/2 (pow im 2))) (log re)))) (pow im 2)))) in im
14.319 * [taylor]: Taking taylor expansion of 1/24 in im
14.319 * [backup-simplify]: Simplify 1/24 into 1/24
14.319 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (/ (exp (* 1/6 (+ (log (/ 1/2 (pow im 2))) (log re)))) (pow im 2))) in im
14.319 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im
14.320 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im
14.320 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im
14.320 * [taylor]: Taking taylor expansion of 1/3 in im
14.320 * [backup-simplify]: Simplify 1/3 into 1/3
14.320 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im
14.320 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
14.320 * [taylor]: Taking taylor expansion of 2.0 in im
14.320 * [backup-simplify]: Simplify 2.0 into 2.0
14.320 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
14.320 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
14.321 * [backup-simplify]: Simplify (log (sqrt 2.0)) into (log (sqrt 2.0))
14.322 * [backup-simplify]: Simplify (* 1/3 (log (sqrt 2.0))) into (* 1/3 (log (sqrt 2.0)))
14.324 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt 2.0)))) into (pow (sqrt 2.0) 1/3)
14.324 * [taylor]: Taking taylor expansion of (/ (exp (* 1/6 (+ (log (/ 1/2 (pow im 2))) (log re)))) (pow im 2)) in im
14.324 * [taylor]: Taking taylor expansion of (exp (* 1/6 (+ (log (/ 1/2 (pow im 2))) (log re)))) in im
14.324 * [taylor]: Taking taylor expansion of (* 1/6 (+ (log (/ 1/2 (pow im 2))) (log re))) in im
14.324 * [taylor]: Taking taylor expansion of 1/6 in im
14.324 * [backup-simplify]: Simplify 1/6 into 1/6
14.324 * [taylor]: Taking taylor expansion of (+ (log (/ 1/2 (pow im 2))) (log re)) in im
14.324 * [taylor]: Taking taylor expansion of (log (/ 1/2 (pow im 2))) in im
14.324 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
14.324 * [taylor]: Taking taylor expansion of 1/2 in im
14.324 * [backup-simplify]: Simplify 1/2 into 1/2
14.324 * [taylor]: Taking taylor expansion of (pow im 2) in im
14.324 * [taylor]: Taking taylor expansion of im in im
14.324 * [backup-simplify]: Simplify 0 into 0
14.324 * [backup-simplify]: Simplify 1 into 1
14.324 * [backup-simplify]: Simplify (* 1 1) into 1
14.325 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
14.325 * [backup-simplify]: Simplify (log 1/2) into (log 1/2)
14.325 * [taylor]: Taking taylor expansion of (log re) in im
14.325 * [taylor]: Taking taylor expansion of re in im
14.325 * [backup-simplify]: Simplify re into re
14.325 * [backup-simplify]: Simplify (log re) into (log re)
14.326 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) (log 1/2)) into (- (log 1/2) (* 2 (log im)))
14.327 * [backup-simplify]: Simplify (+ (- (log 1/2) (* 2 (log im))) (log re)) into (- (+ (log re) (log 1/2)) (* 2 (log im)))
14.327 * [backup-simplify]: Simplify (* 1/6 (- (+ (log re) (log 1/2)) (* 2 (log im)))) into (* 1/6 (- (+ (log re) (log 1/2)) (* 2 (log im))))
14.328 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (log re) (log 1/2)) (* 2 (log im))))) into (exp (* 1/6 (- (+ (log re) (log 1/2)) (* 2 (log im)))))
14.328 * [taylor]: Taking taylor expansion of (pow im 2) in im
14.328 * [taylor]: Taking taylor expansion of im in im
14.328 * [backup-simplify]: Simplify 0 into 0
14.328 * [backup-simplify]: Simplify 1 into 1
14.328 * [backup-simplify]: Simplify (* 1 1) into 1
14.329 * [backup-simplify]: Simplify (/ (exp (* 1/6 (- (+ (log re) (log 1/2)) (* 2 (log im))))) 1) into (exp (* 1/6 (- (+ (log re) (log 1/2)) (* 2 (log im)))))
14.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.330 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
14.339 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0
14.341 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
14.341 * [backup-simplify]: Simplify (+ 0 0) into 0
14.342 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (+ (log re) (log 1/2)) (* 2 (log im))))) into 0
14.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.347 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0
14.350 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
14.351 * [backup-simplify]: Simplify (+ 0 0) into 0
14.352 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (- (+ (log re) (log 1/2)) (* 2 (log im)))))) into 0
14.354 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (log re) (log 1/2)) (* 2 (log im))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.357 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (log re) (log 1/2)) (* 2 (log im))))) (+ (* (/ (pow 0 1) 1)))) into 0
14.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/6 (- (+ (log re) (log 1/2)) (* 2 (log im))))) (/ 0 1)))) into 0
14.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/6 (- (+ (log re) (log 1/2)) (* 2 (log im))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.363 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2.0) 1)))) 1) into 0
14.365 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2.0)))) into 0
14.367 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2.0)))) (+ (* (/ (pow 0 1) 1)))) into 0
14.368 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
14.372 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2.0) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2.0) 1)))) 2) into 0
14.374 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2.0))))) into 0
14.376 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.379 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/3) 0) (+ (* 0 0) (* 0 (exp (* 1/6 (- (+ (log re) (log 1/2)) (* 2 (log im)))))))) into 0
14.381 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/3) 0) (* 0 (exp (* 1/6 (- (+ (log re) (log 1/2)) (* 2 (log im))))))) into 0
14.382 * [backup-simplify]: Simplify (* (pow (sqrt 2.0) 1/3) (exp (* 1/6 (- (+ (log re) (log 1/2)) (* 2 (log im)))))) into (* (exp (* 1/6 (- (+ (log re) (log 1/2)) (* 2 (log im))))) (pow (sqrt 2.0) 1/3))
14.385 * [backup-simplify]: Simplify (+ (* 1/24 0) (+ (* 0 0) (* 0 (* (exp (* 1/6 (- (+ (log re) (log 1/2)) (* 2 (log im))))) (pow (sqrt 2.0) 1/3))))) into 0
14.386 * [backup-simplify]: Simplify (- 0) into 0
14.386 * [backup-simplify]: Simplify 0 into 0
14.386 * [backup-simplify]: Simplify 0 into 0
14.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
14.388 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.392 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0
14.394 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
14.395 * [backup-simplify]: Simplify (+ 0 0) into 0
14.396 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (- (+ (log re) (log 1/2)) (* 2 (log im)))))) into 0
14.398 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (log re) (log 1/2)) (* 2 (log im))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.399 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
14.403 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2.0) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2.0) 1)))) 2) into 0
14.404 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2.0))))) into 0
14.407 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.409 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/3) 0) (+ (* 0 0) (* 0 (exp (* 1/6 (- (+ (log re) (log 1/2)) (* 2 (log im)))))))) into 0
14.409 * [backup-simplify]: Simplify 0 into 0
14.410 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.411 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.413 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0
14.413 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0
14.413 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0
14.414 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 im))))) into 0
14.415 * [backup-simplify]: Simplify (+ 0 0) into 0
14.416 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (pow im 4)))) (* 2 (* (/ 1/2 (pow im 2)) 0)))) (* 2 1)) into 0
14.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.417 * [backup-simplify]: Simplify (- 0) into 0
14.417 * [backup-simplify]: Simplify (+ 0 0) into 0
14.421 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/2 (/ 1 (pow im 2))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 1/8 (/ 1 (pow im 4))))) 1)) (pow (* 1/2 (/ 1 (pow im 2))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/2 (/ 1 (pow im 2))) 1)))) 6) into 0
14.421 * [backup-simplify]: Simplify (+ (* (- -1) (log re)) (log (/ 1/2 (pow im 2)))) into (+ (log (/ 1/2 (pow im 2))) (log re))
14.423 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 (/ -1/4 (pow im 2))) (+ (* 0 0) (* 0 (+ (log (/ 1/2 (pow im 2))) (log re)))))) into 0
14.425 * [backup-simplify]: Simplify (* (exp (* 1/6 (+ (log (/ 1/2 (pow im 2))) (log re)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- (* 1/24 (/ 1 (pow im 2)))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
14.427 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
14.433 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2.0) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2.0) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2.0) 1)))) 6) into 0
14.435 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2.0)))))) into 0
14.438 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
14.441 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2.0) 1/3) 0) (+ (* 0 (* -1/24 (/ (exp (* 1/6 (+ (log (/ 1/2 (pow im 2))) (log re)))) (pow im 2)))) (+ (* 0 0) (* 0 (exp (* 1/6 (+ (log (/ 1/2 (pow im 2))) (log re)))))))) into 0
14.441 * [taylor]: Taking taylor expansion of 0 in im
14.441 * [backup-simplify]: Simplify 0 into 0
14.441 * [backup-simplify]: Simplify 0 into 0
14.443 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (log (/ 1 (- re))) (log 1/2)) (* 2 (log (/ 1 (- im))))))) (pow (sqrt 2.0) 1/3)) into (* (exp (* 1/6 (- (+ (log (/ -1 re)) (log 1/2)) (* 2 (log (/ -1 im)))))) (pow (sqrt 2.0) 1/3))
14.443 * * * [progress]: simplifying candidates
14.445 * [simplify]: Simplifying:
  (expm1 (+ re (hypot re im)))
  (log1p (+ re (hypot re im)))
  (* (exp re) (exp (hypot re im)))
  (log (+ re (hypot re im)))
  (exp (+ re (hypot re im)))
  (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im))))
  (cbrt (+ re (hypot re im)))
  (* (* (+ re (hypot re im)) (+ re (hypot re im))) (+ re (hypot re im)))
  (sqrt (+ re (hypot re im)))
  (sqrt (+ re (hypot re im)))
  (+ (pow re 3) (pow (hypot re im) 3))
  (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))
  (- (* re re) (* (hypot re im) (hypot re im)))
  (- re (hypot re im))
  (+ re (hypot re im))
  (expm1 (+ re (hypot re im)))
  (log1p (+ re (hypot re im)))
  (* (exp re) (exp (hypot re im)))
  (log (+ re (hypot re im)))
  (exp (+ re (hypot re im)))
  (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im))))
  (cbrt (+ re (hypot re im)))
  (* (* (+ re (hypot re im)) (+ re (hypot re im))) (+ re (hypot re im)))
  (sqrt (+ re (hypot re im)))
  (sqrt (+ re (hypot re im)))
  (+ (pow re 3) (pow (hypot re im) 3))
  (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))
  (- (* re re) (* (hypot re im) (hypot re im)))
  (- re (hypot re im))
  (+ re (hypot re im))
  (expm1 (+ re (hypot re im)))
  (log1p (+ re (hypot re im)))
  (* (exp re) (exp (hypot re im)))
  (log (+ re (hypot re im)))
  (exp (+ re (hypot re im)))
  (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im))))
  (cbrt (+ re (hypot re im)))
  (* (* (+ re (hypot re im)) (+ re (hypot re im))) (+ re (hypot re im)))
  (sqrt (+ re (hypot re im)))
  (sqrt (+ re (hypot re im)))
  (+ (pow re 3) (pow (hypot re im) 3))
  (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))
  (- (* re re) (* (hypot re im) (hypot re im)))
  (- re (hypot re im))
  (+ re (hypot re im))
  (expm1 (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0))))
  (log1p (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0))))
  (log (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0))))
  (exp (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0))))
  (cbrt (sqrt (+ re (hypot re im))))
  (cbrt (sqrt 2.0))
  (cbrt (* (sqrt (+ (pow re 3) (pow (hypot re im) 3))) (sqrt 2.0)))
  (cbrt (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))))
  (cbrt (* (sqrt (- (* re re) (* (hypot re im) (hypot re im)))) (sqrt 2.0)))
  (cbrt (sqrt (- re (hypot re im))))
  (* (cbrt (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) (cbrt (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))))
  (cbrt (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0))))
  (* (* (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0))))
  (sqrt (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0))))
  (sqrt (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0))))
  (+ re im)
  (* 2 re)
  0
  (+ re im)
  (* 2 re)
  0
  (+ re im)
  (* 2 re)
  0
  (+ (* 1/72 (* (pow (sqrt 2.0) 1/3) (* (pow (/ 1 (pow im 11)) 1/6) (pow re 2)))) (+ (* 1/6 (* (pow (sqrt 2.0) 1/3) (* (pow (/ 1 (pow im 5)) 1/6) re))) (* (pow (sqrt 2.0) 1/3) (pow im 1/6))))
  (* (pow (sqrt 2.0) 1/3) (exp (* 1/6 (- (log 2) (log (/ 1 re))))))
  (* (exp (* 1/6 (- (+ (log (/ -1 re)) (log 1/2)) (* 2 (log (/ -1 im)))))) (pow (sqrt 2.0) 1/3))
14.447 * * [simplify]: iteration 0: 100 enodes
14.496 * * [simplify]: iteration 1: 215 enodes
14.621 * * [simplify]: iteration 2: 583 enodes
15.083 * * [simplify]: iteration 3: 1973 enodes
16.399 * * [simplify]: iteration complete: 5005 enodes
16.399 * * [simplify]: Extracting #0: cost 33 inf + 0
16.400 * * [simplify]: Extracting #1: cost 323 inf + 1
16.407 * * [simplify]: Extracting #2: cost 767 inf + 8498
16.442 * * [simplify]: Extracting #3: cost 956 inf + 58757
16.484 * * [simplify]: Extracting #4: cost 1156 inf + 99366
16.545 * * [simplify]: Extracting #5: cost 1000 inf + 159278
16.635 * * [simplify]: Extracting #6: cost 489 inf + 323892
16.769 * * [simplify]: Extracting #7: cost 108 inf + 516573
16.929 * * [simplify]: Extracting #8: cost 7 inf + 586688
17.090 * * [simplify]: Extracting #9: cost 0 inf + 592037
17.232 * * [simplify]: Extracting #10: cost 0 inf + 591967
17.386 * [simplify]: Simplified to:
  (expm1 (+ (hypot re im) re))
  (log1p (+ (hypot re im) re))
  (exp (+ (hypot re im) re))
  (log (+ (hypot re im) re))
  (exp (+ (hypot re im) re))
  (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re)))
  (cbrt (+ (hypot re im) re))
  (* (* (+ (hypot re im) re) (+ (hypot re im) re)) (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  (fma re (* re re) (* (* (hypot re im) (hypot re im)) (hypot re im)))
  (fma re re (* (hypot re im) (- (hypot re im) re)))
  (- (* re re) (* (hypot re im) (hypot re im)))
  (- re (hypot re im))
  (+ (hypot re im) re)
  (expm1 (+ (hypot re im) re))
  (log1p (+ (hypot re im) re))
  (exp (+ (hypot re im) re))
  (log (+ (hypot re im) re))
  (exp (+ (hypot re im) re))
  (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re)))
  (cbrt (+ (hypot re im) re))
  (* (* (+ (hypot re im) re) (+ (hypot re im) re)) (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  (fma re (* re re) (* (* (hypot re im) (hypot re im)) (hypot re im)))
  (fma re re (* (hypot re im) (- (hypot re im) re)))
  (- (* re re) (* (hypot re im) (hypot re im)))
  (- re (hypot re im))
  (+ (hypot re im) re)
  (expm1 (+ (hypot re im) re))
  (log1p (+ (hypot re im) re))
  (exp (+ (hypot re im) re))
  (log (+ (hypot re im) re))
  (exp (+ (hypot re im) re))
  (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re)))
  (cbrt (+ (hypot re im) re))
  (* (* (+ (hypot re im) re) (+ (hypot re im) re)) (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  (fma re (* re re) (* (* (hypot re im) (hypot re im)) (hypot re im)))
  (fma re re (* (hypot re im) (- (hypot re im) re)))
  (- (* re re) (* (hypot re im) (hypot re im)))
  (- re (hypot re im))
  (+ (hypot re im) re)
  (expm1 (cbrt (* (sqrt (+ (hypot re im) re)) (sqrt 2.0))))
  (log1p (cbrt (* (sqrt (+ (hypot re im) re)) (sqrt 2.0))))
  (log (cbrt (* (sqrt (+ (hypot re im) re)) (sqrt 2.0))))
  (exp (cbrt (* (sqrt (+ (hypot re im) re)) (sqrt 2.0))))
  (cbrt (sqrt (+ (hypot re im) re)))
  (cbrt (sqrt 2.0))
  (cbrt (* (sqrt 2.0) (sqrt (fma re (* re re) (* (* (hypot re im) (hypot re im)) (hypot re im))))))
  (cbrt (sqrt (fma re re (* (hypot re im) (- (hypot re im) re)))))
  (cbrt (* (sqrt 2.0) (sqrt (- (* re re) (* (hypot re im) (hypot re im))))))
  (cbrt (sqrt (- re (hypot re im))))
  (* (cbrt (cbrt (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)))) (cbrt (cbrt (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)))))
  (cbrt (cbrt (* (sqrt (+ (hypot re im) re)) (sqrt 2.0))))
  (* (sqrt (+ (hypot re im) re)) (sqrt 2.0))
  (sqrt (cbrt (* (sqrt (+ (hypot re im) re)) (sqrt 2.0))))
  (sqrt (cbrt (* (sqrt (+ (hypot re im) re)) (sqrt 2.0))))
  (+ re im)
  (* 2 re)
  0
  (+ re im)
  (* 2 re)
  0
  (+ re im)
  (* 2 re)
  0
  (* (cbrt (sqrt 2.0)) (+ (pow im 1/6) (* re (+ (* 1/72 (* re (pow (/ 1 (pow im 11)) 1/6))) (* 1/6 (pow (/ 1 (pow im 5)) 1/6))))))
  (* (cbrt (sqrt 2.0)) (exp (* 1/6 (+ (log re) (log 2)))))
  (* (cbrt (sqrt 2.0)) (exp (* 1/6 (+ (log 1/2) (fma -2 (log (/ -1 im)) (log (/ -1 re)))))))
17.398 * * * [progress]: adding candidates to table
18.327 * * [progress]: iteration 4 / 4
18.328 * * * [progress]: picking best candidate
18.393 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0))))>
18.393 * * * [progress]: localizing error
18.423 * * * [progress]: generating rewritten candidates
18.423 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1)
18.434 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2)
18.455 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
18.471 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2 2 1)
18.475 * * * [progress]: generating series expansions
18.475 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1)
18.475 * [backup-simplify]: Simplify (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) into (+ re (hypot re im))
18.475 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0
18.475 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im
18.475 * [taylor]: Taking taylor expansion of re in im
18.475 * [backup-simplify]: Simplify re into re
18.475 * [taylor]: Taking taylor expansion of (hypot re im) in im
18.475 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
18.475 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
18.475 * [taylor]: Taking taylor expansion of (* re re) in im
18.475 * [taylor]: Taking taylor expansion of re in im
18.475 * [backup-simplify]: Simplify re into re
18.475 * [taylor]: Taking taylor expansion of re in im
18.475 * [backup-simplify]: Simplify re into re
18.475 * [taylor]: Taking taylor expansion of (* im im) in im
18.475 * [taylor]: Taking taylor expansion of im in im
18.475 * [backup-simplify]: Simplify 0 into 0
18.475 * [backup-simplify]: Simplify 1 into 1
18.475 * [taylor]: Taking taylor expansion of im in im
18.475 * [backup-simplify]: Simplify 0 into 0
18.475 * [backup-simplify]: Simplify 1 into 1
18.475 * [backup-simplify]: Simplify (* re re) into (pow re 2)
18.476 * [backup-simplify]: Simplify (* 0 0) into 0
18.476 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
18.476 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
18.476 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
18.477 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
18.478 * [backup-simplify]: Simplify (+ 0 0) into 0
18.478 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
18.478 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
18.478 * [taylor]: Taking taylor expansion of re in re
18.478 * [backup-simplify]: Simplify 0 into 0
18.478 * [backup-simplify]: Simplify 1 into 1
18.478 * [taylor]: Taking taylor expansion of (hypot re im) in re
18.478 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
18.478 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
18.478 * [taylor]: Taking taylor expansion of (* re re) in re
18.478 * [taylor]: Taking taylor expansion of re in re
18.478 * [backup-simplify]: Simplify 0 into 0
18.478 * [backup-simplify]: Simplify 1 into 1
18.478 * [taylor]: Taking taylor expansion of re in re
18.479 * [backup-simplify]: Simplify 0 into 0
18.479 * [backup-simplify]: Simplify 1 into 1
18.479 * [taylor]: Taking taylor expansion of (* im im) in re
18.479 * [taylor]: Taking taylor expansion of im in re
18.479 * [backup-simplify]: Simplify im into im
18.479 * [taylor]: Taking taylor expansion of im in re
18.479 * [backup-simplify]: Simplify im into im
18.479 * [backup-simplify]: Simplify (* 0 0) into 0
18.479 * [backup-simplify]: Simplify (* im im) into (pow im 2)
18.479 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
18.479 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
18.480 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
18.480 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
18.481 * [backup-simplify]: Simplify (+ 0 0) into 0
18.481 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
18.481 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
18.481 * [taylor]: Taking taylor expansion of re in re
18.481 * [backup-simplify]: Simplify 0 into 0
18.481 * [backup-simplify]: Simplify 1 into 1
18.481 * [taylor]: Taking taylor expansion of (hypot re im) in re
18.481 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
18.481 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
18.481 * [taylor]: Taking taylor expansion of (* re re) in re
18.481 * [taylor]: Taking taylor expansion of re in re
18.481 * [backup-simplify]: Simplify 0 into 0
18.481 * [backup-simplify]: Simplify 1 into 1
18.481 * [taylor]: Taking taylor expansion of re in re
18.481 * [backup-simplify]: Simplify 0 into 0
18.481 * [backup-simplify]: Simplify 1 into 1
18.481 * [taylor]: Taking taylor expansion of (* im im) in re
18.481 * [taylor]: Taking taylor expansion of im in re
18.481 * [backup-simplify]: Simplify im into im
18.481 * [taylor]: Taking taylor expansion of im in re
18.481 * [backup-simplify]: Simplify im into im
18.482 * [backup-simplify]: Simplify (* 0 0) into 0
18.482 * [backup-simplify]: Simplify (* im im) into (pow im 2)
18.482 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
18.482 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
18.483 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
18.483 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
18.483 * [backup-simplify]: Simplify (+ 0 0) into 0
18.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
18.483 * [backup-simplify]: Simplify (+ 0 im) into im
18.483 * [taylor]: Taking taylor expansion of im in im
18.484 * [backup-simplify]: Simplify 0 into 0
18.484 * [backup-simplify]: Simplify 1 into 1
18.484 * [backup-simplify]: Simplify 0 into 0
18.484 * [backup-simplify]: Simplify (+ 1 0) into 1
18.484 * [taylor]: Taking taylor expansion of 1 in im
18.484 * [backup-simplify]: Simplify 1 into 1
18.484 * [backup-simplify]: Simplify 1 into 1
18.484 * [backup-simplify]: Simplify 1 into 1
18.485 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
18.485 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
18.486 * [backup-simplify]: Simplify (+ 1 0) into 1
18.487 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
18.487 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
18.487 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
18.487 * [taylor]: Taking taylor expansion of 1/2 in im
18.487 * [backup-simplify]: Simplify 1/2 into 1/2
18.487 * [taylor]: Taking taylor expansion of (/ 1 im) in im
18.487 * [taylor]: Taking taylor expansion of im in im
18.487 * [backup-simplify]: Simplify 0 into 0
18.487 * [backup-simplify]: Simplify 1 into 1
18.487 * [backup-simplify]: Simplify (/ 1 1) into 1
18.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.489 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
18.489 * [backup-simplify]: Simplify 0 into 0
18.489 * [backup-simplify]: Simplify 0 into 0
18.489 * [backup-simplify]: Simplify 0 into 0
18.490 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
18.491 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
18.491 * [backup-simplify]: Simplify (+ 0 0) into 0
18.492 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
18.492 * [backup-simplify]: Simplify (+ 0 0) into 0
18.492 * [taylor]: Taking taylor expansion of 0 in im
18.492 * [backup-simplify]: Simplify 0 into 0
18.492 * [backup-simplify]: Simplify 0 into 0
18.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.494 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
18.494 * [backup-simplify]: Simplify 0 into 0
18.494 * [backup-simplify]: Simplify 0 into 0
18.494 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
18.495 * [backup-simplify]: Simplify (+ (/ 1 re) (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))))) into (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))
18.495 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0
18.495 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
18.495 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
18.495 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
18.495 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
18.495 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
18.495 * [taylor]: Taking taylor expansion of (/ 1 re) in im
18.495 * [taylor]: Taking taylor expansion of re in im
18.495 * [backup-simplify]: Simplify re into re
18.495 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
18.495 * [taylor]: Taking taylor expansion of (/ 1 re) in im
18.495 * [taylor]: Taking taylor expansion of re in im
18.495 * [backup-simplify]: Simplify re into re
18.495 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
18.495 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
18.495 * [taylor]: Taking taylor expansion of (/ 1 im) in im
18.495 * [taylor]: Taking taylor expansion of im in im
18.495 * [backup-simplify]: Simplify 0 into 0
18.496 * [backup-simplify]: Simplify 1 into 1
18.496 * [backup-simplify]: Simplify (/ 1 1) into 1
18.496 * [taylor]: Taking taylor expansion of (/ 1 im) in im
18.496 * [taylor]: Taking taylor expansion of im in im
18.496 * [backup-simplify]: Simplify 0 into 0
18.496 * [backup-simplify]: Simplify 1 into 1
18.497 * [backup-simplify]: Simplify (/ 1 1) into 1
18.497 * [backup-simplify]: Simplify (* 1 1) into 1
18.497 * [backup-simplify]: Simplify (+ 0 1) into 1
18.498 * [backup-simplify]: Simplify (sqrt 1) into 1
18.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.500 * [backup-simplify]: Simplify (+ 0 0) into 0
18.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
18.501 * [taylor]: Taking taylor expansion of (/ 1 re) in im
18.501 * [taylor]: Taking taylor expansion of re in im
18.501 * [backup-simplify]: Simplify re into re
18.501 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
18.501 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
18.501 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
18.502 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
18.502 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
18.502 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
18.502 * [taylor]: Taking taylor expansion of (/ 1 re) in re
18.502 * [taylor]: Taking taylor expansion of re in re
18.502 * [backup-simplify]: Simplify 0 into 0
18.502 * [backup-simplify]: Simplify 1 into 1
18.502 * [backup-simplify]: Simplify (/ 1 1) into 1
18.502 * [taylor]: Taking taylor expansion of (/ 1 re) in re
18.502 * [taylor]: Taking taylor expansion of re in re
18.502 * [backup-simplify]: Simplify 0 into 0
18.502 * [backup-simplify]: Simplify 1 into 1
18.503 * [backup-simplify]: Simplify (/ 1 1) into 1
18.503 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
18.503 * [taylor]: Taking taylor expansion of (/ 1 im) in re
18.503 * [taylor]: Taking taylor expansion of im in re
18.503 * [backup-simplify]: Simplify im into im
18.503 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
18.503 * [taylor]: Taking taylor expansion of (/ 1 im) in re
18.503 * [taylor]: Taking taylor expansion of im in re
18.503 * [backup-simplify]: Simplify im into im
18.503 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
18.503 * [backup-simplify]: Simplify (* 1 1) into 1
18.504 * [backup-simplify]: Simplify (+ 1 0) into 1
18.504 * [backup-simplify]: Simplify (sqrt 1) into 1
18.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.506 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.507 * [backup-simplify]: Simplify (+ 0 0) into 0
18.507 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
18.507 * [taylor]: Taking taylor expansion of (/ 1 re) in re
18.507 * [taylor]: Taking taylor expansion of re in re
18.507 * [backup-simplify]: Simplify 0 into 0
18.507 * [backup-simplify]: Simplify 1 into 1
18.508 * [backup-simplify]: Simplify (/ 1 1) into 1
18.508 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
18.508 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
18.508 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
18.508 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
18.508 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
18.508 * [taylor]: Taking taylor expansion of (/ 1 re) in re
18.508 * [taylor]: Taking taylor expansion of re in re
18.508 * [backup-simplify]: Simplify 0 into 0
18.508 * [backup-simplify]: Simplify 1 into 1
18.509 * [backup-simplify]: Simplify (/ 1 1) into 1
18.509 * [taylor]: Taking taylor expansion of (/ 1 re) in re
18.509 * [taylor]: Taking taylor expansion of re in re
18.509 * [backup-simplify]: Simplify 0 into 0
18.509 * [backup-simplify]: Simplify 1 into 1
18.509 * [backup-simplify]: Simplify (/ 1 1) into 1
18.509 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
18.509 * [taylor]: Taking taylor expansion of (/ 1 im) in re
18.509 * [taylor]: Taking taylor expansion of im in re
18.509 * [backup-simplify]: Simplify im into im
18.509 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
18.509 * [taylor]: Taking taylor expansion of (/ 1 im) in re
18.509 * [taylor]: Taking taylor expansion of im in re
18.509 * [backup-simplify]: Simplify im into im
18.509 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
18.510 * [backup-simplify]: Simplify (* 1 1) into 1
18.510 * [backup-simplify]: Simplify (+ 1 0) into 1
18.511 * [backup-simplify]: Simplify (sqrt 1) into 1
18.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.513 * [backup-simplify]: Simplify (+ 0 0) into 0
18.514 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
18.514 * [taylor]: Taking taylor expansion of (/ 1 re) in re
18.514 * [taylor]: Taking taylor expansion of re in re
18.514 * [backup-simplify]: Simplify 0 into 0
18.514 * [backup-simplify]: Simplify 1 into 1
18.514 * [backup-simplify]: Simplify (/ 1 1) into 1
18.515 * [backup-simplify]: Simplify (+ 1 1) into 2
18.515 * [taylor]: Taking taylor expansion of 2 in im
18.515 * [backup-simplify]: Simplify 2 into 2
18.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.516 * [backup-simplify]: Simplify (+ 0 0) into 0
18.516 * [taylor]: Taking taylor expansion of 0 in im
18.516 * [backup-simplify]: Simplify 0 into 0
18.516 * [backup-simplify]: Simplify 2 into 2
18.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.519 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
18.519 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
18.520 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
18.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.521 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
18.521 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
18.521 * [taylor]: Taking taylor expansion of 1/2 in im
18.522 * [backup-simplify]: Simplify 1/2 into 1/2
18.522 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
18.522 * [taylor]: Taking taylor expansion of (pow im 2) in im
18.522 * [taylor]: Taking taylor expansion of im in im
18.522 * [backup-simplify]: Simplify 0 into 0
18.522 * [backup-simplify]: Simplify 1 into 1
18.522 * [backup-simplify]: Simplify (* 1 1) into 1
18.522 * [backup-simplify]: Simplify (/ 1 1) into 1
18.523 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.525 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
18.525 * [backup-simplify]: Simplify 0 into 0
18.525 * [backup-simplify]: Simplify 0 into 0
18.525 * [backup-simplify]: Simplify 0 into 0
18.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.528 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
18.528 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
18.528 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
18.529 * [backup-simplify]: Simplify (+ 0 0) into 0
18.529 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
18.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.531 * [backup-simplify]: Simplify (+ 0 0) into 0
18.531 * [taylor]: Taking taylor expansion of 0 in im
18.531 * [backup-simplify]: Simplify 0 into 0
18.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.533 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
18.533 * [backup-simplify]: Simplify 0 into 0
18.533 * [backup-simplify]: Simplify 0 into 0
18.533 * [backup-simplify]: Simplify 0 into 0
18.534 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
18.534 * [backup-simplify]: Simplify (+ (/ 1 (- re)) (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
18.534 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
18.534 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
18.534 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
18.534 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
18.534 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
18.534 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
18.534 * [taylor]: Taking taylor expansion of (/ -1 re) in im
18.535 * [taylor]: Taking taylor expansion of -1 in im
18.535 * [backup-simplify]: Simplify -1 into -1
18.535 * [taylor]: Taking taylor expansion of re in im
18.535 * [backup-simplify]: Simplify re into re
18.535 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
18.535 * [taylor]: Taking taylor expansion of (/ -1 re) in im
18.535 * [taylor]: Taking taylor expansion of -1 in im
18.535 * [backup-simplify]: Simplify -1 into -1
18.535 * [taylor]: Taking taylor expansion of re in im
18.535 * [backup-simplify]: Simplify re into re
18.535 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
18.535 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
18.535 * [taylor]: Taking taylor expansion of (/ -1 im) in im
18.535 * [taylor]: Taking taylor expansion of -1 in im
18.535 * [backup-simplify]: Simplify -1 into -1
18.535 * [taylor]: Taking taylor expansion of im in im
18.535 * [backup-simplify]: Simplify 0 into 0
18.535 * [backup-simplify]: Simplify 1 into 1
18.536 * [backup-simplify]: Simplify (/ -1 1) into -1
18.536 * [taylor]: Taking taylor expansion of (/ -1 im) in im
18.536 * [taylor]: Taking taylor expansion of -1 in im
18.536 * [backup-simplify]: Simplify -1 into -1
18.536 * [taylor]: Taking taylor expansion of im in im
18.536 * [backup-simplify]: Simplify 0 into 0
18.536 * [backup-simplify]: Simplify 1 into 1
18.536 * [backup-simplify]: Simplify (/ -1 1) into -1
18.537 * [backup-simplify]: Simplify (* -1 -1) into 1
18.537 * [backup-simplify]: Simplify (+ 0 1) into 1
18.537 * [backup-simplify]: Simplify (sqrt 1) into 1
18.538 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.539 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.540 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
18.540 * [backup-simplify]: Simplify (+ 0 0) into 0
18.541 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
18.541 * [taylor]: Taking taylor expansion of (/ 1 re) in im
18.541 * [taylor]: Taking taylor expansion of re in im
18.541 * [backup-simplify]: Simplify re into re
18.541 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
18.541 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
18.541 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
18.541 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
18.541 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
18.542 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
18.542 * [taylor]: Taking taylor expansion of (/ -1 re) in re
18.542 * [taylor]: Taking taylor expansion of -1 in re
18.542 * [backup-simplify]: Simplify -1 into -1
18.542 * [taylor]: Taking taylor expansion of re in re
18.542 * [backup-simplify]: Simplify 0 into 0
18.542 * [backup-simplify]: Simplify 1 into 1
18.542 * [backup-simplify]: Simplify (/ -1 1) into -1
18.542 * [taylor]: Taking taylor expansion of (/ -1 re) in re
18.542 * [taylor]: Taking taylor expansion of -1 in re
18.543 * [backup-simplify]: Simplify -1 into -1
18.543 * [taylor]: Taking taylor expansion of re in re
18.543 * [backup-simplify]: Simplify 0 into 0
18.543 * [backup-simplify]: Simplify 1 into 1
18.543 * [backup-simplify]: Simplify (/ -1 1) into -1
18.543 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
18.543 * [taylor]: Taking taylor expansion of (/ -1 im) in re
18.543 * [taylor]: Taking taylor expansion of -1 in re
18.543 * [backup-simplify]: Simplify -1 into -1
18.543 * [taylor]: Taking taylor expansion of im in re
18.543 * [backup-simplify]: Simplify im into im
18.543 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
18.543 * [taylor]: Taking taylor expansion of (/ -1 im) in re
18.543 * [taylor]: Taking taylor expansion of -1 in re
18.543 * [backup-simplify]: Simplify -1 into -1
18.543 * [taylor]: Taking taylor expansion of im in re
18.543 * [backup-simplify]: Simplify im into im
18.544 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
18.544 * [backup-simplify]: Simplify (* -1 -1) into 1
18.544 * [backup-simplify]: Simplify (+ 1 0) into 1
18.545 * [backup-simplify]: Simplify (sqrt 1) into 1
18.546 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.546 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.547 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
18.547 * [backup-simplify]: Simplify (+ 0 0) into 0
18.548 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
18.548 * [taylor]: Taking taylor expansion of (/ 1 re) in re
18.548 * [taylor]: Taking taylor expansion of re in re
18.548 * [backup-simplify]: Simplify 0 into 0
18.548 * [backup-simplify]: Simplify 1 into 1
18.549 * [backup-simplify]: Simplify (/ 1 1) into 1
18.549 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
18.549 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
18.549 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
18.549 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
18.549 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
18.549 * [taylor]: Taking taylor expansion of (/ -1 re) in re
18.549 * [taylor]: Taking taylor expansion of -1 in re
18.549 * [backup-simplify]: Simplify -1 into -1
18.549 * [taylor]: Taking taylor expansion of re in re
18.549 * [backup-simplify]: Simplify 0 into 0
18.549 * [backup-simplify]: Simplify 1 into 1
18.549 * [backup-simplify]: Simplify (/ -1 1) into -1
18.549 * [taylor]: Taking taylor expansion of (/ -1 re) in re
18.549 * [taylor]: Taking taylor expansion of -1 in re
18.550 * [backup-simplify]: Simplify -1 into -1
18.550 * [taylor]: Taking taylor expansion of re in re
18.550 * [backup-simplify]: Simplify 0 into 0
18.550 * [backup-simplify]: Simplify 1 into 1
18.550 * [backup-simplify]: Simplify (/ -1 1) into -1
18.550 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
18.550 * [taylor]: Taking taylor expansion of (/ -1 im) in re
18.550 * [taylor]: Taking taylor expansion of -1 in re
18.550 * [backup-simplify]: Simplify -1 into -1
18.550 * [taylor]: Taking taylor expansion of im in re
18.550 * [backup-simplify]: Simplify im into im
18.550 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
18.550 * [taylor]: Taking taylor expansion of (/ -1 im) in re
18.550 * [taylor]: Taking taylor expansion of -1 in re
18.550 * [backup-simplify]: Simplify -1 into -1
18.550 * [taylor]: Taking taylor expansion of im in re
18.550 * [backup-simplify]: Simplify im into im
18.550 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
18.551 * [backup-simplify]: Simplify (* -1 -1) into 1
18.551 * [backup-simplify]: Simplify (+ 1 0) into 1
18.552 * [backup-simplify]: Simplify (sqrt 1) into 1
18.552 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.554 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
18.554 * [backup-simplify]: Simplify (+ 0 0) into 0
18.555 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
18.555 * [taylor]: Taking taylor expansion of (/ 1 re) in re
18.555 * [taylor]: Taking taylor expansion of re in re
18.555 * [backup-simplify]: Simplify 0 into 0
18.555 * [backup-simplify]: Simplify 1 into 1
18.555 * [backup-simplify]: Simplify (/ 1 1) into 1
18.556 * [backup-simplify]: Simplify (- 1) into -1
18.556 * [backup-simplify]: Simplify (+ 1 -1) into 0
18.556 * [taylor]: Taking taylor expansion of 0 in im
18.556 * [backup-simplify]: Simplify 0 into 0
18.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.557 * [backup-simplify]: Simplify (- 0) into 0
18.558 * [backup-simplify]: Simplify (+ 0 0) into 0
18.558 * [taylor]: Taking taylor expansion of 0 in im
18.558 * [backup-simplify]: Simplify 0 into 0
18.558 * [backup-simplify]: Simplify 0 into 0
18.559 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.560 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.561 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
18.561 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
18.561 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
18.562 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
18.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.563 * [backup-simplify]: Simplify (- 0) into 0
18.563 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
18.564 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
18.564 * [taylor]: Taking taylor expansion of 1/2 in im
18.564 * [backup-simplify]: Simplify 1/2 into 1/2
18.564 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
18.564 * [taylor]: Taking taylor expansion of (pow im 2) in im
18.564 * [taylor]: Taking taylor expansion of im in im
18.564 * [backup-simplify]: Simplify 0 into 0
18.564 * [backup-simplify]: Simplify 1 into 1
18.564 * [backup-simplify]: Simplify (* 1 1) into 1
18.564 * [backup-simplify]: Simplify (/ 1 1) into 1
18.565 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.566 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
18.566 * [backup-simplify]: Simplify 0 into 0
18.566 * [backup-simplify]: Simplify 0 into 0
18.566 * [backup-simplify]: Simplify 0 into 0
18.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.568 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.569 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
18.570 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
18.570 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
18.570 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
18.570 * [backup-simplify]: Simplify (+ 0 0) into 0
18.571 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
18.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.572 * [backup-simplify]: Simplify (- 0) into 0
18.572 * [backup-simplify]: Simplify (+ 0 0) into 0
18.572 * [taylor]: Taking taylor expansion of 0 in im
18.572 * [backup-simplify]: Simplify 0 into 0
18.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.575 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
18.575 * [backup-simplify]: Simplify 0 into 0
18.575 * [backup-simplify]: Simplify 0 into 0
18.575 * [backup-simplify]: Simplify 0 into 0
18.575 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2)
18.576 * [backup-simplify]: Simplify (* (sqrt (hypot re im)) (sqrt (hypot re im))) into (hypot re im)
18.576 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
18.576 * [taylor]: Taking taylor expansion of (hypot re im) in im
18.576 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
18.576 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
18.576 * [taylor]: Taking taylor expansion of (* re re) in im
18.576 * [taylor]: Taking taylor expansion of re in im
18.576 * [backup-simplify]: Simplify re into re
18.576 * [taylor]: Taking taylor expansion of re in im
18.576 * [backup-simplify]: Simplify re into re
18.576 * [taylor]: Taking taylor expansion of (* im im) in im
18.576 * [taylor]: Taking taylor expansion of im in im
18.576 * [backup-simplify]: Simplify 0 into 0
18.576 * [backup-simplify]: Simplify 1 into 1
18.576 * [taylor]: Taking taylor expansion of im in im
18.576 * [backup-simplify]: Simplify 0 into 0
18.576 * [backup-simplify]: Simplify 1 into 1
18.576 * [backup-simplify]: Simplify (* re re) into (pow re 2)
18.577 * [backup-simplify]: Simplify (* 0 0) into 0
18.577 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
18.577 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
18.577 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
18.578 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
18.578 * [backup-simplify]: Simplify (+ 0 0) into 0
18.579 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
18.579 * [taylor]: Taking taylor expansion of (hypot re im) in re
18.579 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
18.579 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
18.579 * [taylor]: Taking taylor expansion of (* re re) in re
18.579 * [taylor]: Taking taylor expansion of re in re
18.579 * [backup-simplify]: Simplify 0 into 0
18.579 * [backup-simplify]: Simplify 1 into 1
18.579 * [taylor]: Taking taylor expansion of re in re
18.579 * [backup-simplify]: Simplify 0 into 0
18.579 * [backup-simplify]: Simplify 1 into 1
18.579 * [taylor]: Taking taylor expansion of (* im im) in re
18.579 * [taylor]: Taking taylor expansion of im in re
18.579 * [backup-simplify]: Simplify im into im
18.579 * [taylor]: Taking taylor expansion of im in re
18.579 * [backup-simplify]: Simplify im into im
18.579 * [backup-simplify]: Simplify (* 0 0) into 0
18.580 * [backup-simplify]: Simplify (* im im) into (pow im 2)
18.580 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
18.580 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
18.581 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
18.581 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
18.581 * [backup-simplify]: Simplify (+ 0 0) into 0
18.581 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
18.581 * [taylor]: Taking taylor expansion of (hypot re im) in re
18.582 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
18.582 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
18.582 * [taylor]: Taking taylor expansion of (* re re) in re
18.582 * [taylor]: Taking taylor expansion of re in re
18.582 * [backup-simplify]: Simplify 0 into 0
18.582 * [backup-simplify]: Simplify 1 into 1
18.582 * [taylor]: Taking taylor expansion of re in re
18.582 * [backup-simplify]: Simplify 0 into 0
18.582 * [backup-simplify]: Simplify 1 into 1
18.582 * [taylor]: Taking taylor expansion of (* im im) in re
18.582 * [taylor]: Taking taylor expansion of im in re
18.582 * [backup-simplify]: Simplify im into im
18.582 * [taylor]: Taking taylor expansion of im in re
18.582 * [backup-simplify]: Simplify im into im
18.582 * [backup-simplify]: Simplify (* 0 0) into 0
18.582 * [backup-simplify]: Simplify (* im im) into (pow im 2)
18.583 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
18.583 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
18.583 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
18.583 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
18.584 * [backup-simplify]: Simplify (+ 0 0) into 0
18.584 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
18.584 * [taylor]: Taking taylor expansion of im in im
18.584 * [backup-simplify]: Simplify 0 into 0
18.584 * [backup-simplify]: Simplify 1 into 1
18.584 * [backup-simplify]: Simplify 0 into 0
18.584 * [taylor]: Taking taylor expansion of 0 in im
18.584 * [backup-simplify]: Simplify 0 into 0
18.584 * [backup-simplify]: Simplify 0 into 0
18.584 * [backup-simplify]: Simplify 1 into 1
18.585 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
18.586 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
18.586 * [backup-simplify]: Simplify (+ 1 0) into 1
18.587 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
18.587 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
18.587 * [taylor]: Taking taylor expansion of 1/2 in im
18.587 * [backup-simplify]: Simplify 1/2 into 1/2
18.587 * [taylor]: Taking taylor expansion of im in im
18.587 * [backup-simplify]: Simplify 0 into 0
18.587 * [backup-simplify]: Simplify 1 into 1
18.587 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
18.588 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
18.588 * [backup-simplify]: Simplify 0 into 0
18.588 * [backup-simplify]: Simplify 0 into 0
18.588 * [backup-simplify]: Simplify 0 into 0
18.594 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
18.595 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
18.595 * [backup-simplify]: Simplify (+ 0 0) into 0
18.595 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
18.595 * [taylor]: Taking taylor expansion of 0 in im
18.595 * [backup-simplify]: Simplify 0 into 0
18.595 * [backup-simplify]: Simplify 0 into 0
18.596 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.596 * [backup-simplify]: Simplify 0 into 0
18.596 * [backup-simplify]: Simplify 0 into 0
18.596 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
18.597 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) into (hypot (/ 1 re) (/ 1 im))
18.597 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
18.597 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
18.597 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
18.597 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
18.597 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
18.597 * [taylor]: Taking taylor expansion of (/ 1 re) in im
18.597 * [taylor]: Taking taylor expansion of re in im
18.597 * [backup-simplify]: Simplify re into re
18.597 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
18.597 * [taylor]: Taking taylor expansion of (/ 1 re) in im
18.597 * [taylor]: Taking taylor expansion of re in im
18.597 * [backup-simplify]: Simplify re into re
18.597 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
18.597 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
18.597 * [taylor]: Taking taylor expansion of (/ 1 im) in im
18.597 * [taylor]: Taking taylor expansion of im in im
18.597 * [backup-simplify]: Simplify 0 into 0
18.597 * [backup-simplify]: Simplify 1 into 1
18.598 * [backup-simplify]: Simplify (/ 1 1) into 1
18.598 * [taylor]: Taking taylor expansion of (/ 1 im) in im
18.598 * [taylor]: Taking taylor expansion of im in im
18.598 * [backup-simplify]: Simplify 0 into 0
18.598 * [backup-simplify]: Simplify 1 into 1
18.599 * [backup-simplify]: Simplify (/ 1 1) into 1
18.599 * [backup-simplify]: Simplify (* 1 1) into 1
18.600 * [backup-simplify]: Simplify (+ 0 1) into 1
18.600 * [backup-simplify]: Simplify (sqrt 1) into 1
18.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.602 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.602 * [backup-simplify]: Simplify (+ 0 0) into 0
18.603 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
18.603 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
18.604 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
18.604 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
18.604 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
18.604 * [taylor]: Taking taylor expansion of (/ 1 re) in re
18.604 * [taylor]: Taking taylor expansion of re in re
18.604 * [backup-simplify]: Simplify 0 into 0
18.604 * [backup-simplify]: Simplify 1 into 1
18.604 * [backup-simplify]: Simplify (/ 1 1) into 1
18.604 * [taylor]: Taking taylor expansion of (/ 1 re) in re
18.604 * [taylor]: Taking taylor expansion of re in re
18.604 * [backup-simplify]: Simplify 0 into 0
18.604 * [backup-simplify]: Simplify 1 into 1
18.605 * [backup-simplify]: Simplify (/ 1 1) into 1
18.605 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
18.605 * [taylor]: Taking taylor expansion of (/ 1 im) in re
18.605 * [taylor]: Taking taylor expansion of im in re
18.605 * [backup-simplify]: Simplify im into im
18.605 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
18.605 * [taylor]: Taking taylor expansion of (/ 1 im) in re
18.605 * [taylor]: Taking taylor expansion of im in re
18.605 * [backup-simplify]: Simplify im into im
18.605 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
18.605 * [backup-simplify]: Simplify (* 1 1) into 1
18.606 * [backup-simplify]: Simplify (+ 1 0) into 1
18.606 * [backup-simplify]: Simplify (sqrt 1) into 1
18.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.609 * [backup-simplify]: Simplify (+ 0 0) into 0
18.609 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
18.609 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
18.610 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
18.610 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
18.610 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
18.610 * [taylor]: Taking taylor expansion of (/ 1 re) in re
18.610 * [taylor]: Taking taylor expansion of re in re
18.610 * [backup-simplify]: Simplify 0 into 0
18.610 * [backup-simplify]: Simplify 1 into 1
18.610 * [backup-simplify]: Simplify (/ 1 1) into 1
18.610 * [taylor]: Taking taylor expansion of (/ 1 re) in re
18.610 * [taylor]: Taking taylor expansion of re in re
18.610 * [backup-simplify]: Simplify 0 into 0
18.610 * [backup-simplify]: Simplify 1 into 1
18.611 * [backup-simplify]: Simplify (/ 1 1) into 1
18.611 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
18.611 * [taylor]: Taking taylor expansion of (/ 1 im) in re
18.611 * [taylor]: Taking taylor expansion of im in re
18.611 * [backup-simplify]: Simplify im into im
18.611 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
18.611 * [taylor]: Taking taylor expansion of (/ 1 im) in re
18.611 * [taylor]: Taking taylor expansion of im in re
18.611 * [backup-simplify]: Simplify im into im
18.611 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
18.611 * [backup-simplify]: Simplify (* 1 1) into 1
18.612 * [backup-simplify]: Simplify (+ 1 0) into 1
18.612 * [backup-simplify]: Simplify (sqrt 1) into 1
18.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.614 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.614 * [backup-simplify]: Simplify (+ 0 0) into 0
18.615 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
18.615 * [taylor]: Taking taylor expansion of 1 in im
18.615 * [backup-simplify]: Simplify 1 into 1
18.615 * [taylor]: Taking taylor expansion of 0 in im
18.615 * [backup-simplify]: Simplify 0 into 0
18.615 * [backup-simplify]: Simplify 1 into 1
18.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.618 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
18.618 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
18.625 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
18.625 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
18.625 * [taylor]: Taking taylor expansion of 1/2 in im
18.625 * [backup-simplify]: Simplify 1/2 into 1/2
18.625 * [taylor]: Taking taylor expansion of (pow im 2) in im
18.625 * [taylor]: Taking taylor expansion of im in im
18.625 * [backup-simplify]: Simplify 0 into 0
18.625 * [backup-simplify]: Simplify 1 into 1
18.626 * [backup-simplify]: Simplify (* 1 1) into 1
18.626 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
18.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.628 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
18.628 * [backup-simplify]: Simplify 0 into 0
18.628 * [backup-simplify]: Simplify 0 into 0
18.628 * [backup-simplify]: Simplify 0 into 0
18.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.631 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
18.631 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
18.631 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
18.631 * [backup-simplify]: Simplify (+ 0 0) into 0
18.632 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
18.632 * [taylor]: Taking taylor expansion of 0 in im
18.632 * [backup-simplify]: Simplify 0 into 0
18.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.634 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.634 * [backup-simplify]: Simplify 0 into 0
18.634 * [backup-simplify]: Simplify 0 into 0
18.634 * [backup-simplify]: Simplify 0 into 0
18.634 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
18.634 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) into (hypot (/ -1 re) (/ -1 im))
18.634 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
18.634 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
18.635 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
18.635 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
18.635 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
18.635 * [taylor]: Taking taylor expansion of (/ -1 re) in im
18.635 * [taylor]: Taking taylor expansion of -1 in im
18.635 * [backup-simplify]: Simplify -1 into -1
18.635 * [taylor]: Taking taylor expansion of re in im
18.635 * [backup-simplify]: Simplify re into re
18.635 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
18.635 * [taylor]: Taking taylor expansion of (/ -1 re) in im
18.635 * [taylor]: Taking taylor expansion of -1 in im
18.635 * [backup-simplify]: Simplify -1 into -1
18.635 * [taylor]: Taking taylor expansion of re in im
18.635 * [backup-simplify]: Simplify re into re
18.635 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
18.635 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
18.635 * [taylor]: Taking taylor expansion of (/ -1 im) in im
18.635 * [taylor]: Taking taylor expansion of -1 in im
18.635 * [backup-simplify]: Simplify -1 into -1
18.635 * [taylor]: Taking taylor expansion of im in im
18.635 * [backup-simplify]: Simplify 0 into 0
18.635 * [backup-simplify]: Simplify 1 into 1
18.636 * [backup-simplify]: Simplify (/ -1 1) into -1
18.636 * [taylor]: Taking taylor expansion of (/ -1 im) in im
18.636 * [taylor]: Taking taylor expansion of -1 in im
18.636 * [backup-simplify]: Simplify -1 into -1
18.636 * [taylor]: Taking taylor expansion of im in im
18.636 * [backup-simplify]: Simplify 0 into 0
18.636 * [backup-simplify]: Simplify 1 into 1
18.636 * [backup-simplify]: Simplify (/ -1 1) into -1
18.636 * [backup-simplify]: Simplify (* -1 -1) into 1
18.637 * [backup-simplify]: Simplify (+ 0 1) into 1
18.637 * [backup-simplify]: Simplify (sqrt 1) into 1
18.638 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.639 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.639 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
18.640 * [backup-simplify]: Simplify (+ 0 0) into 0
18.640 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
18.640 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
18.640 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
18.641 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
18.641 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
18.641 * [taylor]: Taking taylor expansion of (/ -1 re) in re
18.641 * [taylor]: Taking taylor expansion of -1 in re
18.641 * [backup-simplify]: Simplify -1 into -1
18.641 * [taylor]: Taking taylor expansion of re in re
18.641 * [backup-simplify]: Simplify 0 into 0
18.641 * [backup-simplify]: Simplify 1 into 1
18.641 * [backup-simplify]: Simplify (/ -1 1) into -1
18.641 * [taylor]: Taking taylor expansion of (/ -1 re) in re
18.641 * [taylor]: Taking taylor expansion of -1 in re
18.641 * [backup-simplify]: Simplify -1 into -1
18.641 * [taylor]: Taking taylor expansion of re in re
18.641 * [backup-simplify]: Simplify 0 into 0
18.641 * [backup-simplify]: Simplify 1 into 1
18.642 * [backup-simplify]: Simplify (/ -1 1) into -1
18.642 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
18.642 * [taylor]: Taking taylor expansion of (/ -1 im) in re
18.642 * [taylor]: Taking taylor expansion of -1 in re
18.642 * [backup-simplify]: Simplify -1 into -1
18.642 * [taylor]: Taking taylor expansion of im in re
18.642 * [backup-simplify]: Simplify im into im
18.642 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
18.642 * [taylor]: Taking taylor expansion of (/ -1 im) in re
18.642 * [taylor]: Taking taylor expansion of -1 in re
18.642 * [backup-simplify]: Simplify -1 into -1
18.642 * [taylor]: Taking taylor expansion of im in re
18.642 * [backup-simplify]: Simplify im into im
18.642 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
18.643 * [backup-simplify]: Simplify (* -1 -1) into 1
18.643 * [backup-simplify]: Simplify (+ 1 0) into 1
18.643 * [backup-simplify]: Simplify (sqrt 1) into 1
18.644 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.645 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.646 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
18.646 * [backup-simplify]: Simplify (+ 0 0) into 0
18.647 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
18.647 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
18.647 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
18.647 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
18.647 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
18.647 * [taylor]: Taking taylor expansion of (/ -1 re) in re
18.647 * [taylor]: Taking taylor expansion of -1 in re
18.647 * [backup-simplify]: Simplify -1 into -1
18.647 * [taylor]: Taking taylor expansion of re in re
18.647 * [backup-simplify]: Simplify 0 into 0
18.647 * [backup-simplify]: Simplify 1 into 1
18.647 * [backup-simplify]: Simplify (/ -1 1) into -1
18.647 * [taylor]: Taking taylor expansion of (/ -1 re) in re
18.647 * [taylor]: Taking taylor expansion of -1 in re
18.647 * [backup-simplify]: Simplify -1 into -1
18.648 * [taylor]: Taking taylor expansion of re in re
18.648 * [backup-simplify]: Simplify 0 into 0
18.648 * [backup-simplify]: Simplify 1 into 1
18.648 * [backup-simplify]: Simplify (/ -1 1) into -1
18.648 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
18.648 * [taylor]: Taking taylor expansion of (/ -1 im) in re
18.648 * [taylor]: Taking taylor expansion of -1 in re
18.648 * [backup-simplify]: Simplify -1 into -1
18.648 * [taylor]: Taking taylor expansion of im in re
18.648 * [backup-simplify]: Simplify im into im
18.648 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
18.648 * [taylor]: Taking taylor expansion of (/ -1 im) in re
18.648 * [taylor]: Taking taylor expansion of -1 in re
18.648 * [backup-simplify]: Simplify -1 into -1
18.648 * [taylor]: Taking taylor expansion of im in re
18.648 * [backup-simplify]: Simplify im into im
18.648 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
18.649 * [backup-simplify]: Simplify (* -1 -1) into 1
18.650 * [backup-simplify]: Simplify (+ 1 0) into 1
18.650 * [backup-simplify]: Simplify (sqrt 1) into 1
18.651 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.652 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.652 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
18.652 * [backup-simplify]: Simplify (+ 0 0) into 0
18.653 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
18.653 * [taylor]: Taking taylor expansion of 1 in im
18.653 * [backup-simplify]: Simplify 1 into 1
18.653 * [taylor]: Taking taylor expansion of 0 in im
18.653 * [backup-simplify]: Simplify 0 into 0
18.654 * [backup-simplify]: Simplify 1 into 1
18.654 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.655 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.656 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
18.656 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
18.657 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
18.658 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
18.658 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
18.658 * [taylor]: Taking taylor expansion of 1/2 in im
18.658 * [backup-simplify]: Simplify 1/2 into 1/2
18.658 * [taylor]: Taking taylor expansion of (pow im 2) in im
18.658 * [taylor]: Taking taylor expansion of im in im
18.658 * [backup-simplify]: Simplify 0 into 0
18.658 * [backup-simplify]: Simplify 1 into 1
18.658 * [backup-simplify]: Simplify (* 1 1) into 1
18.659 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
18.659 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.660 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
18.660 * [backup-simplify]: Simplify 0 into 0
18.660 * [backup-simplify]: Simplify 0 into 0
18.660 * [backup-simplify]: Simplify 0 into 0
18.661 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.664 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
18.664 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
18.664 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
18.664 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
18.665 * [backup-simplify]: Simplify (+ 0 0) into 0
18.666 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
18.666 * [taylor]: Taking taylor expansion of 0 in im
18.666 * [backup-simplify]: Simplify 0 into 0
18.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.668 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.668 * [backup-simplify]: Simplify 0 into 0
18.668 * [backup-simplify]: Simplify 0 into 0
18.668 * [backup-simplify]: Simplify 0 into 0
18.668 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
18.668 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
18.668 * [backup-simplify]: Simplify (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0)) into (* (sqrt (+ re (hypot re im))) (sqrt 2.0))
18.668 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0
18.668 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im
18.668 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im
18.668 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im
18.669 * [taylor]: Taking taylor expansion of re in im
18.669 * [backup-simplify]: Simplify re into re
18.669 * [taylor]: Taking taylor expansion of (hypot re im) in im
18.669 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
18.669 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
18.669 * [taylor]: Taking taylor expansion of (* re re) in im
18.669 * [taylor]: Taking taylor expansion of re in im
18.669 * [backup-simplify]: Simplify re into re
18.669 * [taylor]: Taking taylor expansion of re in im
18.669 * [backup-simplify]: Simplify re into re
18.669 * [taylor]: Taking taylor expansion of (* im im) in im
18.669 * [taylor]: Taking taylor expansion of im in im
18.669 * [backup-simplify]: Simplify 0 into 0
18.669 * [backup-simplify]: Simplify 1 into 1
18.669 * [taylor]: Taking taylor expansion of im in im
18.669 * [backup-simplify]: Simplify 0 into 0
18.669 * [backup-simplify]: Simplify 1 into 1
18.669 * [backup-simplify]: Simplify (* re re) into (pow re 2)
18.670 * [backup-simplify]: Simplify (* 0 0) into 0
18.670 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
18.670 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
18.671 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
18.671 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
18.672 * [backup-simplify]: Simplify (+ 0 0) into 0
18.672 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
18.672 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
18.672 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2))
18.672 * [backup-simplify]: Simplify (+ 0 0) into 0
18.673 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
18.673 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
18.673 * [taylor]: Taking taylor expansion of 2.0 in im
18.673 * [backup-simplify]: Simplify 2.0 into 2.0
18.673 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
18.674 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
18.674 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re
18.674 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re
18.674 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
18.674 * [taylor]: Taking taylor expansion of re in re
18.674 * [backup-simplify]: Simplify 0 into 0
18.674 * [backup-simplify]: Simplify 1 into 1
18.674 * [taylor]: Taking taylor expansion of (hypot re im) in re
18.674 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
18.674 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
18.674 * [taylor]: Taking taylor expansion of (* re re) in re
18.674 * [taylor]: Taking taylor expansion of re in re
18.674 * [backup-simplify]: Simplify 0 into 0
18.674 * [backup-simplify]: Simplify 1 into 1
18.674 * [taylor]: Taking taylor expansion of re in re
18.674 * [backup-simplify]: Simplify 0 into 0
18.674 * [backup-simplify]: Simplify 1 into 1
18.674 * [taylor]: Taking taylor expansion of (* im im) in re
18.674 * [taylor]: Taking taylor expansion of im in re
18.674 * [backup-simplify]: Simplify im into im
18.674 * [taylor]: Taking taylor expansion of im in re
18.674 * [backup-simplify]: Simplify im into im
18.675 * [backup-simplify]: Simplify (* 0 0) into 0
18.675 * [backup-simplify]: Simplify (* im im) into (pow im 2)
18.675 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
18.675 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
18.676 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
18.676 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
18.676 * [backup-simplify]: Simplify (+ 0 0) into 0
18.676 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
18.676 * [backup-simplify]: Simplify (+ 0 im) into im
18.676 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
18.677 * [backup-simplify]: Simplify (+ 1 0) into 1
18.677 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
18.677 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
18.677 * [taylor]: Taking taylor expansion of 2.0 in re
18.677 * [backup-simplify]: Simplify 2.0 into 2.0
18.677 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
18.678 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
18.678 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re
18.678 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re
18.678 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re
18.678 * [taylor]: Taking taylor expansion of re in re
18.678 * [backup-simplify]: Simplify 0 into 0
18.678 * [backup-simplify]: Simplify 1 into 1
18.678 * [taylor]: Taking taylor expansion of (hypot re im) in re
18.679 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
18.679 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
18.679 * [taylor]: Taking taylor expansion of (* re re) in re
18.679 * [taylor]: Taking taylor expansion of re in re
18.679 * [backup-simplify]: Simplify 0 into 0
18.679 * [backup-simplify]: Simplify 1 into 1
18.679 * [taylor]: Taking taylor expansion of re in re
18.679 * [backup-simplify]: Simplify 0 into 0
18.679 * [backup-simplify]: Simplify 1 into 1
18.679 * [taylor]: Taking taylor expansion of (* im im) in re
18.679 * [taylor]: Taking taylor expansion of im in re
18.679 * [backup-simplify]: Simplify im into im
18.679 * [taylor]: Taking taylor expansion of im in re
18.679 * [backup-simplify]: Simplify im into im
18.679 * [backup-simplify]: Simplify (* 0 0) into 0
18.679 * [backup-simplify]: Simplify (* im im) into (pow im 2)
18.679 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
18.680 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
18.680 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
18.680 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
18.681 * [backup-simplify]: Simplify (+ 0 0) into 0
18.681 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
18.681 * [backup-simplify]: Simplify (+ 0 im) into im
18.681 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
18.681 * [backup-simplify]: Simplify (+ 1 0) into 1
18.681 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
18.681 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
18.682 * [taylor]: Taking taylor expansion of 2.0 in re
18.682 * [backup-simplify]: Simplify 2.0 into 2.0
18.682 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
18.682 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
18.683 * [backup-simplify]: Simplify (* (sqrt im) (sqrt 2.0)) into (* (sqrt 2.0) (sqrt im))
18.683 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
18.683 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
18.683 * [taylor]: Taking taylor expansion of 2.0 in im
18.683 * [backup-simplify]: Simplify 2.0 into 2.0
18.683 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
18.684 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
18.684 * [taylor]: Taking taylor expansion of (sqrt im) in im
18.684 * [taylor]: Taking taylor expansion of im in im
18.684 * [backup-simplify]: Simplify 0 into 0
18.684 * [backup-simplify]: Simplify 1 into 1
18.684 * [backup-simplify]: Simplify (sqrt 0) into 0
18.686 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
18.686 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
18.687 * [backup-simplify]: Simplify 0 into 0
18.687 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* (* 1/2 (sqrt (/ 1 im))) (sqrt 2.0))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
18.687 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
18.687 * [taylor]: Taking taylor expansion of 1/2 in im
18.687 * [backup-simplify]: Simplify 1/2 into 1/2
18.687 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
18.687 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
18.687 * [taylor]: Taking taylor expansion of 2.0 in im
18.687 * [backup-simplify]: Simplify 2.0 into 2.0
18.688 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
18.688 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
18.688 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
18.688 * [taylor]: Taking taylor expansion of (/ 1 im) in im
18.689 * [taylor]: Taking taylor expansion of im in im
18.689 * [backup-simplify]: Simplify 0 into 0
18.689 * [backup-simplify]: Simplify 1 into 1
18.689 * [backup-simplify]: Simplify (/ 1 1) into 1
18.689 * [backup-simplify]: Simplify (sqrt 0) into 0
18.691 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
18.693 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
18.694 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
18.697 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
18.699 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
18.701 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
18.702 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
18.703 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
18.704 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
18.704 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
18.705 * [backup-simplify]: Simplify (+ 1 0) into 1
18.705 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
18.706 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
18.706 * [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))))
18.707 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (+ (* (* 1/2 (sqrt (/ 1 im))) 0) (* (* 1/8 (sqrt (/ 1 (pow im 3)))) (sqrt 2.0)))) into (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))))
18.707 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
18.707 * [taylor]: Taking taylor expansion of 1/8 in im
18.707 * [backup-simplify]: Simplify 1/8 into 1/8
18.707 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
18.707 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
18.708 * [taylor]: Taking taylor expansion of 2.0 in im
18.708 * [backup-simplify]: Simplify 2.0 into 2.0
18.708 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
18.709 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
18.709 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
18.709 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
18.709 * [taylor]: Taking taylor expansion of (pow im 3) in im
18.709 * [taylor]: Taking taylor expansion of im in im
18.709 * [backup-simplify]: Simplify 0 into 0
18.709 * [backup-simplify]: Simplify 1 into 1
18.709 * [backup-simplify]: Simplify (* 1 1) into 1
18.710 * [backup-simplify]: Simplify (* 1 1) into 1
18.710 * [backup-simplify]: Simplify (/ 1 1) into 1
18.710 * [backup-simplify]: Simplify (sqrt 0) into 0
18.712 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
18.713 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.713 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.718 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
18.720 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
18.722 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
18.724 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
18.724 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
18.729 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
18.731 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
18.736 * [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)))))))
18.737 * [backup-simplify]: Simplify (sqrt (* (+ (/ 1 re) (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))))) 2.0)) into (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0))
18.737 * [approximate]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0
18.737 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im
18.737 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im
18.737 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im
18.737 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
18.737 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
18.737 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
18.737 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
18.737 * [taylor]: Taking taylor expansion of (/ 1 re) in im
18.737 * [taylor]: Taking taylor expansion of re in im
18.737 * [backup-simplify]: Simplify re into re
18.737 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
18.737 * [taylor]: Taking taylor expansion of (/ 1 re) in im
18.737 * [taylor]: Taking taylor expansion of re in im
18.737 * [backup-simplify]: Simplify re into re
18.738 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
18.738 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
18.738 * [taylor]: Taking taylor expansion of (/ 1 im) in im
18.738 * [taylor]: Taking taylor expansion of im in im
18.738 * [backup-simplify]: Simplify 0 into 0
18.738 * [backup-simplify]: Simplify 1 into 1
18.739 * [backup-simplify]: Simplify (/ 1 1) into 1
18.739 * [taylor]: Taking taylor expansion of (/ 1 im) in im
18.739 * [taylor]: Taking taylor expansion of im in im
18.739 * [backup-simplify]: Simplify 0 into 0
18.739 * [backup-simplify]: Simplify 1 into 1
18.739 * [backup-simplify]: Simplify (/ 1 1) into 1
18.739 * [backup-simplify]: Simplify (* 1 1) into 1
18.740 * [backup-simplify]: Simplify (+ 0 1) into 1
18.741 * [backup-simplify]: Simplify (sqrt 1) into 1
18.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.743 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.743 * [backup-simplify]: Simplify (+ 0 0) into 0
18.744 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
18.744 * [taylor]: Taking taylor expansion of (/ 1 re) in im
18.744 * [taylor]: Taking taylor expansion of re in im
18.744 * [backup-simplify]: Simplify re into re
18.744 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
18.745 * [backup-simplify]: Simplify (+ 1 0) into 1
18.745 * [backup-simplify]: Simplify (sqrt 0) into 0
18.747 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
18.747 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
18.747 * [taylor]: Taking taylor expansion of 2.0 in im
18.747 * [backup-simplify]: Simplify 2.0 into 2.0
18.747 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
18.748 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
18.748 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re
18.748 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re
18.748 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
18.748 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
18.748 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
18.748 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
18.748 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
18.748 * [taylor]: Taking taylor expansion of (/ 1 re) in re
18.748 * [taylor]: Taking taylor expansion of re in re
18.748 * [backup-simplify]: Simplify 0 into 0
18.748 * [backup-simplify]: Simplify 1 into 1
18.749 * [backup-simplify]: Simplify (/ 1 1) into 1
18.749 * [taylor]: Taking taylor expansion of (/ 1 re) in re
18.749 * [taylor]: Taking taylor expansion of re in re
18.749 * [backup-simplify]: Simplify 0 into 0
18.749 * [backup-simplify]: Simplify 1 into 1
18.749 * [backup-simplify]: Simplify (/ 1 1) into 1
18.749 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
18.749 * [taylor]: Taking taylor expansion of (/ 1 im) in re
18.749 * [taylor]: Taking taylor expansion of im in re
18.749 * [backup-simplify]: Simplify im into im
18.749 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
18.749 * [taylor]: Taking taylor expansion of (/ 1 im) in re
18.749 * [taylor]: Taking taylor expansion of im in re
18.750 * [backup-simplify]: Simplify im into im
18.750 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
18.750 * [backup-simplify]: Simplify (* 1 1) into 1
18.750 * [backup-simplify]: Simplify (+ 1 0) into 1
18.751 * [backup-simplify]: Simplify (sqrt 1) into 1
18.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.752 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.753 * [backup-simplify]: Simplify (+ 0 0) into 0
18.753 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
18.753 * [taylor]: Taking taylor expansion of (/ 1 re) in re
18.753 * [taylor]: Taking taylor expansion of re in re
18.754 * [backup-simplify]: Simplify 0 into 0
18.754 * [backup-simplify]: Simplify 1 into 1
18.754 * [backup-simplify]: Simplify (/ 1 1) into 1
18.754 * [backup-simplify]: Simplify (+ 1 1) into 2
18.754 * [backup-simplify]: Simplify (sqrt 0) into 0
18.756 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
18.756 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
18.756 * [taylor]: Taking taylor expansion of 2.0 in re
18.756 * [backup-simplify]: Simplify 2.0 into 2.0
18.756 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
18.757 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
18.757 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re
18.757 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re
18.757 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re
18.757 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
18.757 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
18.757 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
18.757 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
18.757 * [taylor]: Taking taylor expansion of (/ 1 re) in re
18.757 * [taylor]: Taking taylor expansion of re in re
18.757 * [backup-simplify]: Simplify 0 into 0
18.757 * [backup-simplify]: Simplify 1 into 1
18.757 * [backup-simplify]: Simplify (/ 1 1) into 1
18.757 * [taylor]: Taking taylor expansion of (/ 1 re) in re
18.758 * [taylor]: Taking taylor expansion of re in re
18.758 * [backup-simplify]: Simplify 0 into 0
18.758 * [backup-simplify]: Simplify 1 into 1
18.758 * [backup-simplify]: Simplify (/ 1 1) into 1
18.758 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
18.758 * [taylor]: Taking taylor expansion of (/ 1 im) in re
18.758 * [taylor]: Taking taylor expansion of im in re
18.758 * [backup-simplify]: Simplify im into im
18.758 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
18.758 * [taylor]: Taking taylor expansion of (/ 1 im) in re
18.758 * [taylor]: Taking taylor expansion of im in re
18.758 * [backup-simplify]: Simplify im into im
18.758 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
18.759 * [backup-simplify]: Simplify (* 1 1) into 1
18.759 * [backup-simplify]: Simplify (+ 1 0) into 1
18.759 * [backup-simplify]: Simplify (sqrt 1) into 1
18.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.761 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.762 * [backup-simplify]: Simplify (+ 0 0) into 0
18.763 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
18.763 * [taylor]: Taking taylor expansion of (/ 1 re) in re
18.763 * [taylor]: Taking taylor expansion of re in re
18.763 * [backup-simplify]: Simplify 0 into 0
18.763 * [backup-simplify]: Simplify 1 into 1
18.764 * [backup-simplify]: Simplify (/ 1 1) into 1
18.765 * [backup-simplify]: Simplify (+ 1 1) into 2
18.765 * [backup-simplify]: Simplify (sqrt 0) into 0
18.767 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
18.767 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
18.767 * [taylor]: Taking taylor expansion of 2.0 in re
18.767 * [backup-simplify]: Simplify 2.0 into 2.0
18.768 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
18.769 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
18.769 * [backup-simplify]: Simplify (* 0 (sqrt 2.0)) into 0
18.769 * [taylor]: Taking taylor expansion of 0 in im
18.769 * [backup-simplify]: Simplify 0 into 0
18.771 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
18.772 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
18.772 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
18.772 * [taylor]: Taking taylor expansion of +nan.0 in im
18.772 * [backup-simplify]: Simplify +nan.0 into +nan.0
18.772 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
18.772 * [taylor]: Taking taylor expansion of 2.0 in im
18.772 * [backup-simplify]: Simplify 2.0 into 2.0
18.772 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
18.773 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
18.773 * [backup-simplify]: Simplify 0 into 0
18.774 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
18.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.795 * [backup-simplify]: Simplify (+ 0 0) into 0
18.804 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
18.808 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
18.809 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
18.809 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
18.809 * [taylor]: Taking taylor expansion of +nan.0 in im
18.809 * [backup-simplify]: Simplify +nan.0 into +nan.0
18.809 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
18.809 * [taylor]: Taking taylor expansion of 2.0 in im
18.810 * [backup-simplify]: Simplify 2.0 into 2.0
18.811 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
18.812 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
18.813 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
18.814 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
18.816 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
18.817 * [backup-simplify]: Simplify 0 into 0
18.818 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
18.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.827 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.827 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
18.828 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
18.830 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
18.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.831 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
18.833 * [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))
18.836 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) (sqrt 2.0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))))
18.836 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
18.836 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
18.836 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
18.836 * [taylor]: Taking taylor expansion of +nan.0 in im
18.836 * [backup-simplify]: Simplify +nan.0 into +nan.0
18.836 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
18.836 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
18.836 * [taylor]: Taking taylor expansion of 2.0 in im
18.836 * [backup-simplify]: Simplify 2.0 into 2.0
18.836 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
18.837 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
18.837 * [taylor]: Taking taylor expansion of (pow im 2) in im
18.837 * [taylor]: Taking taylor expansion of im in im
18.837 * [backup-simplify]: Simplify 0 into 0
18.837 * [backup-simplify]: Simplify 1 into 1
18.838 * [backup-simplify]: Simplify (* 1 1) into 1
18.838 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
18.839 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
18.839 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
18.839 * [taylor]: Taking taylor expansion of +nan.0 in im
18.839 * [backup-simplify]: Simplify +nan.0 into +nan.0
18.839 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
18.839 * [taylor]: Taking taylor expansion of 2.0 in im
18.839 * [backup-simplify]: Simplify 2.0 into 2.0
18.839 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
18.840 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
18.841 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.842 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
18.843 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
18.843 * [backup-simplify]: Simplify (+ 0 0) into 0
18.844 * [backup-simplify]: Simplify (- 0) into 0
18.844 * [backup-simplify]: Simplify 0 into 0
18.846 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
18.848 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
18.849 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
18.851 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
18.851 * [backup-simplify]: Simplify (- 0) into 0
18.851 * [backup-simplify]: Simplify 0 into 0
18.851 * [backup-simplify]: Simplify 0 into 0
18.853 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
18.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
18.856 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
18.856 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
18.857 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
18.859 * [backup-simplify]: Simplify (+ 0 0) into 0
18.860 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
18.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.861 * [backup-simplify]: Simplify (+ 0 0) into 0
18.863 * [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)))
18.866 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) (sqrt 2.0)))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))))
18.866 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im
18.866 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im
18.866 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
18.866 * [taylor]: Taking taylor expansion of +nan.0 in im
18.866 * [backup-simplify]: Simplify +nan.0 into +nan.0
18.866 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
18.866 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
18.866 * [taylor]: Taking taylor expansion of 2.0 in im
18.866 * [backup-simplify]: Simplify 2.0 into 2.0
18.867 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
18.868 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
18.868 * [taylor]: Taking taylor expansion of (pow im 2) in im
18.868 * [taylor]: Taking taylor expansion of im in im
18.868 * [backup-simplify]: Simplify 0 into 0
18.868 * [backup-simplify]: Simplify 1 into 1
18.869 * [backup-simplify]: Simplify (* 1 1) into 1
18.870 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
18.870 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
18.870 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
18.870 * [taylor]: Taking taylor expansion of +nan.0 in im
18.870 * [backup-simplify]: Simplify +nan.0 into +nan.0
18.870 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
18.870 * [taylor]: Taking taylor expansion of 2.0 in im
18.870 * [backup-simplify]: Simplify 2.0 into 2.0
18.871 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
18.872 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
18.874 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
18.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
18.877 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
18.878 * [backup-simplify]: Simplify (+ 0 0) into 0
18.878 * [backup-simplify]: Simplify (- 0) into 0
18.878 * [backup-simplify]: Simplify 0 into 0
18.879 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
18.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
18.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.882 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
18.883 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
18.884 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
18.887 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
18.889 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
18.891 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
18.896 * [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) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))))
18.897 * [backup-simplify]: Simplify (sqrt (* (+ (/ 1 (- re)) (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) 2.0)) into (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))
18.897 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0
18.897 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im
18.897 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
18.897 * [taylor]: Taking taylor expansion of 2.0 in im
18.897 * [backup-simplify]: Simplify 2.0 into 2.0
18.898 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
18.899 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
18.899 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im
18.899 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
18.899 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
18.899 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
18.899 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
18.899 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
18.899 * [taylor]: Taking taylor expansion of (/ -1 re) in im
18.899 * [taylor]: Taking taylor expansion of -1 in im
18.899 * [backup-simplify]: Simplify -1 into -1
18.899 * [taylor]: Taking taylor expansion of re in im
18.900 * [backup-simplify]: Simplify re into re
18.900 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
18.900 * [taylor]: Taking taylor expansion of (/ -1 re) in im
18.900 * [taylor]: Taking taylor expansion of -1 in im
18.900 * [backup-simplify]: Simplify -1 into -1
18.900 * [taylor]: Taking taylor expansion of re in im
18.900 * [backup-simplify]: Simplify re into re
18.900 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
18.900 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
18.900 * [taylor]: Taking taylor expansion of (/ -1 im) in im
18.900 * [taylor]: Taking taylor expansion of -1 in im
18.900 * [backup-simplify]: Simplify -1 into -1
18.900 * [taylor]: Taking taylor expansion of im in im
18.900 * [backup-simplify]: Simplify 0 into 0
18.900 * [backup-simplify]: Simplify 1 into 1
18.901 * [backup-simplify]: Simplify (/ -1 1) into -1
18.901 * [taylor]: Taking taylor expansion of (/ -1 im) in im
18.901 * [taylor]: Taking taylor expansion of -1 in im
18.901 * [backup-simplify]: Simplify -1 into -1
18.901 * [taylor]: Taking taylor expansion of im in im
18.901 * [backup-simplify]: Simplify 0 into 0
18.901 * [backup-simplify]: Simplify 1 into 1
18.902 * [backup-simplify]: Simplify (/ -1 1) into -1
18.902 * [backup-simplify]: Simplify (* -1 -1) into 1
18.903 * [backup-simplify]: Simplify (+ 0 1) into 1
18.903 * [backup-simplify]: Simplify (sqrt 1) into 1
18.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.911 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.912 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
18.912 * [backup-simplify]: Simplify (+ 0 0) into 0
18.913 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
18.913 * [taylor]: Taking taylor expansion of (/ 1 re) in im
18.913 * [taylor]: Taking taylor expansion of re in im
18.913 * [backup-simplify]: Simplify re into re
18.913 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
18.913 * [backup-simplify]: Simplify (+ 1 0) into 1
18.914 * [backup-simplify]: Simplify (sqrt 0) into 0
18.915 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
18.915 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re
18.915 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
18.915 * [taylor]: Taking taylor expansion of 2.0 in re
18.915 * [backup-simplify]: Simplify 2.0 into 2.0
18.916 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
18.916 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
18.916 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
18.916 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
18.916 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
18.917 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
18.917 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
18.925 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
18.925 * [taylor]: Taking taylor expansion of (/ -1 re) in re
18.925 * [taylor]: Taking taylor expansion of -1 in re
18.925 * [backup-simplify]: Simplify -1 into -1
18.925 * [taylor]: Taking taylor expansion of re in re
18.925 * [backup-simplify]: Simplify 0 into 0
18.925 * [backup-simplify]: Simplify 1 into 1
18.925 * [backup-simplify]: Simplify (/ -1 1) into -1
18.926 * [taylor]: Taking taylor expansion of (/ -1 re) in re
18.926 * [taylor]: Taking taylor expansion of -1 in re
18.926 * [backup-simplify]: Simplify -1 into -1
18.926 * [taylor]: Taking taylor expansion of re in re
18.926 * [backup-simplify]: Simplify 0 into 0
18.926 * [backup-simplify]: Simplify 1 into 1
18.926 * [backup-simplify]: Simplify (/ -1 1) into -1
18.926 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
18.926 * [taylor]: Taking taylor expansion of (/ -1 im) in re
18.926 * [taylor]: Taking taylor expansion of -1 in re
18.926 * [backup-simplify]: Simplify -1 into -1
18.926 * [taylor]: Taking taylor expansion of im in re
18.926 * [backup-simplify]: Simplify im into im
18.926 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
18.926 * [taylor]: Taking taylor expansion of (/ -1 im) in re
18.926 * [taylor]: Taking taylor expansion of -1 in re
18.926 * [backup-simplify]: Simplify -1 into -1
18.926 * [taylor]: Taking taylor expansion of im in re
18.926 * [backup-simplify]: Simplify im into im
18.926 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
18.927 * [backup-simplify]: Simplify (* -1 -1) into 1
18.927 * [backup-simplify]: Simplify (+ 1 0) into 1
18.928 * [backup-simplify]: Simplify (sqrt 1) into 1
18.928 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.935 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.936 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
18.937 * [backup-simplify]: Simplify (+ 0 0) into 0
18.938 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
18.938 * [taylor]: Taking taylor expansion of (/ 1 re) in re
18.938 * [taylor]: Taking taylor expansion of re in re
18.938 * [backup-simplify]: Simplify 0 into 0
18.938 * [backup-simplify]: Simplify 1 into 1
18.938 * [backup-simplify]: Simplify (/ 1 1) into 1
18.938 * [backup-simplify]: Simplify (- 1) into -1
18.939 * [backup-simplify]: Simplify (+ 1 -1) into 0
18.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.940 * [backup-simplify]: Simplify (- 0) into 0
18.940 * [backup-simplify]: Simplify (+ 0 0) into 0
18.945 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.947 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.947 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
18.948 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
18.948 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
18.951 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
18.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.952 * [backup-simplify]: Simplify (- 0) into 0
18.953 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
18.953 * [backup-simplify]: Simplify (sqrt 0) into 0
18.954 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
18.954 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re
18.954 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
18.954 * [taylor]: Taking taylor expansion of 2.0 in re
18.954 * [backup-simplify]: Simplify 2.0 into 2.0
18.954 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
18.961 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
18.961 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
18.961 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
18.961 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
18.961 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
18.961 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
18.961 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
18.961 * [taylor]: Taking taylor expansion of (/ -1 re) in re
18.961 * [taylor]: Taking taylor expansion of -1 in re
18.961 * [backup-simplify]: Simplify -1 into -1
18.961 * [taylor]: Taking taylor expansion of re in re
18.961 * [backup-simplify]: Simplify 0 into 0
18.961 * [backup-simplify]: Simplify 1 into 1
18.962 * [backup-simplify]: Simplify (/ -1 1) into -1
18.962 * [taylor]: Taking taylor expansion of (/ -1 re) in re
18.962 * [taylor]: Taking taylor expansion of -1 in re
18.962 * [backup-simplify]: Simplify -1 into -1
18.962 * [taylor]: Taking taylor expansion of re in re
18.962 * [backup-simplify]: Simplify 0 into 0
18.962 * [backup-simplify]: Simplify 1 into 1
18.963 * [backup-simplify]: Simplify (/ -1 1) into -1
18.963 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
18.963 * [taylor]: Taking taylor expansion of (/ -1 im) in re
18.963 * [taylor]: Taking taylor expansion of -1 in re
18.963 * [backup-simplify]: Simplify -1 into -1
18.963 * [taylor]: Taking taylor expansion of im in re
18.963 * [backup-simplify]: Simplify im into im
18.963 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
18.963 * [taylor]: Taking taylor expansion of (/ -1 im) in re
18.963 * [taylor]: Taking taylor expansion of -1 in re
18.963 * [backup-simplify]: Simplify -1 into -1
18.963 * [taylor]: Taking taylor expansion of im in re
18.963 * [backup-simplify]: Simplify im into im
18.963 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
18.963 * [backup-simplify]: Simplify (* -1 -1) into 1
18.964 * [backup-simplify]: Simplify (+ 1 0) into 1
18.964 * [backup-simplify]: Simplify (sqrt 1) into 1
18.969 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.970 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.977 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
18.977 * [backup-simplify]: Simplify (+ 0 0) into 0
18.978 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
18.978 * [taylor]: Taking taylor expansion of (/ 1 re) in re
18.978 * [taylor]: Taking taylor expansion of re in re
18.978 * [backup-simplify]: Simplify 0 into 0
18.978 * [backup-simplify]: Simplify 1 into 1
18.978 * [backup-simplify]: Simplify (/ 1 1) into 1
18.979 * [backup-simplify]: Simplify (- 1) into -1
18.979 * [backup-simplify]: Simplify (+ 1 -1) into 0
18.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
18.980 * [backup-simplify]: Simplify (- 0) into 0
18.981 * [backup-simplify]: Simplify (+ 0 0) into 0
18.982 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.983 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.984 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
18.984 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
18.984 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
18.986 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
18.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.987 * [backup-simplify]: Simplify (- 0) into 0
18.988 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
18.988 * [backup-simplify]: Simplify (sqrt 0) into 0
18.994 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
18.994 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
18.994 * [taylor]: Taking taylor expansion of 0 in im
18.994 * [backup-simplify]: Simplify 0 into 0
18.995 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
18.995 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
18.995 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
18.995 * [taylor]: Taking taylor expansion of +nan.0 in im
18.996 * [backup-simplify]: Simplify +nan.0 into +nan.0
18.996 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
18.996 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
18.996 * [taylor]: Taking taylor expansion of 2.0 in im
18.996 * [backup-simplify]: Simplify 2.0 into 2.0
18.996 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
18.997 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
18.997 * [taylor]: Taking taylor expansion of (pow im 2) in im
18.997 * [taylor]: Taking taylor expansion of im in im
18.997 * [backup-simplify]: Simplify 0 into 0
18.997 * [backup-simplify]: Simplify 1 into 1
18.997 * [backup-simplify]: Simplify (* 1 1) into 1
18.998 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
18.999 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
19.000 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
19.001 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
19.001 * [backup-simplify]: Simplify (- 0) into 0
19.001 * [backup-simplify]: Simplify 0 into 0
19.001 * [backup-simplify]: Simplify 0 into 0
19.002 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
19.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
19.004 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
19.004 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
19.004 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
19.005 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
19.005 * [backup-simplify]: Simplify (+ 0 0) into 0
19.006 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
19.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
19.007 * [backup-simplify]: Simplify (- 0) into 0
19.007 * [backup-simplify]: Simplify (+ 0 0) into 0
19.008 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
19.009 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
19.011 * [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))))
19.011 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
19.011 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
19.011 * [taylor]: Taking taylor expansion of +nan.0 in im
19.011 * [backup-simplify]: Simplify +nan.0 into +nan.0
19.011 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
19.011 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
19.011 * [taylor]: Taking taylor expansion of 2.0 in im
19.011 * [backup-simplify]: Simplify 2.0 into 2.0
19.011 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
19.012 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
19.012 * [taylor]: Taking taylor expansion of (pow im 4) in im
19.012 * [taylor]: Taking taylor expansion of im in im
19.012 * [backup-simplify]: Simplify 0 into 0
19.012 * [backup-simplify]: Simplify 1 into 1
19.013 * [backup-simplify]: Simplify (* 1 1) into 1
19.013 * [backup-simplify]: Simplify (* 1 1) into 1
19.014 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
19.015 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
19.016 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
19.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
19.018 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
19.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
19.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
19.024 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
19.025 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
19.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
19.028 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
19.029 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
19.030 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
19.030 * [backup-simplify]: Simplify (- 0) into 0
19.031 * [backup-simplify]: Simplify 0 into 0
19.032 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
19.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
19.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
19.035 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
19.035 * [backup-simplify]: Simplify (- 0) into 0
19.035 * [backup-simplify]: Simplify 0 into 0
19.035 * [backup-simplify]: Simplify 0 into 0
19.037 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
19.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
19.040 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
19.040 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
19.040 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
19.041 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0
19.041 * [backup-simplify]: Simplify (+ 0 0) into 0
19.043 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
19.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
19.044 * [backup-simplify]: Simplify (- 0) into 0
19.044 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
19.046 * [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 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))
19.047 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
19.050 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (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 6))))))
19.050 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
19.050 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
19.050 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
19.050 * [taylor]: Taking taylor expansion of +nan.0 in im
19.050 * [backup-simplify]: Simplify +nan.0 into +nan.0
19.050 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
19.050 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
19.050 * [taylor]: Taking taylor expansion of 2.0 in im
19.050 * [backup-simplify]: Simplify 2.0 into 2.0
19.051 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
19.051 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
19.051 * [taylor]: Taking taylor expansion of (pow im 4) in im
19.051 * [taylor]: Taking taylor expansion of im in im
19.051 * [backup-simplify]: Simplify 0 into 0
19.052 * [backup-simplify]: Simplify 1 into 1
19.052 * [backup-simplify]: Simplify (* 1 1) into 1
19.052 * [backup-simplify]: Simplify (* 1 1) into 1
19.053 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
19.053 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
19.053 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
19.053 * [taylor]: Taking taylor expansion of +nan.0 in im
19.053 * [backup-simplify]: Simplify +nan.0 into +nan.0
19.053 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
19.053 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
19.053 * [taylor]: Taking taylor expansion of 2.0 in im
19.053 * [backup-simplify]: Simplify 2.0 into 2.0
19.054 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
19.054 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
19.054 * [taylor]: Taking taylor expansion of (pow im 6) in im
19.055 * [taylor]: Taking taylor expansion of im in im
19.055 * [backup-simplify]: Simplify 0 into 0
19.055 * [backup-simplify]: Simplify 1 into 1
19.055 * [backup-simplify]: Simplify (* 1 1) into 1
19.055 * [backup-simplify]: Simplify (* 1 1) into 1
19.056 * [backup-simplify]: Simplify (* 1 1) into 1
19.057 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
19.058 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
19.059 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
19.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
19.061 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
19.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
19.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
19.064 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
19.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
19.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
19.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
19.068 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
19.070 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
19.071 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
19.072 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
19.074 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
19.075 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
19.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
19.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
19.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
19.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
19.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
19.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
19.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
19.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
19.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
19.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
19.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
19.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
19.091 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
19.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
19.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
19.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
19.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
19.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
19.099 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
19.100 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
19.102 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
19.103 * [backup-simplify]: Simplify (- 0) into 0
19.103 * [backup-simplify]: Simplify (+ 0 0) into 0
19.103 * [backup-simplify]: Simplify (- 0) into 0
19.103 * [backup-simplify]: Simplify 0 into 0
19.104 * [backup-simplify]: Simplify 0 into 0
19.104 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2 2 1)
19.104 * [backup-simplify]: Simplify (hypot re im) into (hypot re im)
19.104 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
19.104 * [taylor]: Taking taylor expansion of (hypot re im) in im
19.104 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
19.104 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
19.104 * [taylor]: Taking taylor expansion of (* re re) in im
19.104 * [taylor]: Taking taylor expansion of re in im
19.104 * [backup-simplify]: Simplify re into re
19.104 * [taylor]: Taking taylor expansion of re in im
19.104 * [backup-simplify]: Simplify re into re
19.104 * [taylor]: Taking taylor expansion of (* im im) in im
19.104 * [taylor]: Taking taylor expansion of im in im
19.104 * [backup-simplify]: Simplify 0 into 0
19.104 * [backup-simplify]: Simplify 1 into 1
19.104 * [taylor]: Taking taylor expansion of im in im
19.105 * [backup-simplify]: Simplify 0 into 0
19.105 * [backup-simplify]: Simplify 1 into 1
19.105 * [backup-simplify]: Simplify (* re re) into (pow re 2)
19.105 * [backup-simplify]: Simplify (* 0 0) into 0
19.106 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
19.106 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
19.106 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
19.107 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
19.108 * [backup-simplify]: Simplify (+ 0 0) into 0
19.108 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
19.108 * [taylor]: Taking taylor expansion of (hypot re im) in re
19.109 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
19.109 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
19.109 * [taylor]: Taking taylor expansion of (* re re) in re
19.109 * [taylor]: Taking taylor expansion of re in re
19.109 * [backup-simplify]: Simplify 0 into 0
19.109 * [backup-simplify]: Simplify 1 into 1
19.109 * [taylor]: Taking taylor expansion of re in re
19.109 * [backup-simplify]: Simplify 0 into 0
19.109 * [backup-simplify]: Simplify 1 into 1
19.109 * [taylor]: Taking taylor expansion of (* im im) in re
19.109 * [taylor]: Taking taylor expansion of im in re
19.109 * [backup-simplify]: Simplify im into im
19.109 * [taylor]: Taking taylor expansion of im in re
19.109 * [backup-simplify]: Simplify im into im
19.110 * [backup-simplify]: Simplify (* 0 0) into 0
19.110 * [backup-simplify]: Simplify (* im im) into (pow im 2)
19.110 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
19.110 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
19.111 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
19.111 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
19.111 * [backup-simplify]: Simplify (+ 0 0) into 0
19.111 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
19.111 * [taylor]: Taking taylor expansion of (hypot re im) in re
19.112 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
19.112 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
19.112 * [taylor]: Taking taylor expansion of (* re re) in re
19.112 * [taylor]: Taking taylor expansion of re in re
19.112 * [backup-simplify]: Simplify 0 into 0
19.112 * [backup-simplify]: Simplify 1 into 1
19.112 * [taylor]: Taking taylor expansion of re in re
19.112 * [backup-simplify]: Simplify 0 into 0
19.112 * [backup-simplify]: Simplify 1 into 1
19.112 * [taylor]: Taking taylor expansion of (* im im) in re
19.112 * [taylor]: Taking taylor expansion of im in re
19.112 * [backup-simplify]: Simplify im into im
19.112 * [taylor]: Taking taylor expansion of im in re
19.112 * [backup-simplify]: Simplify im into im
19.112 * [backup-simplify]: Simplify (* 0 0) into 0
19.113 * [backup-simplify]: Simplify (* im im) into (pow im 2)
19.113 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
19.113 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
19.114 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
19.114 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
19.114 * [backup-simplify]: Simplify (+ 0 0) into 0
19.114 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
19.114 * [taylor]: Taking taylor expansion of im in im
19.114 * [backup-simplify]: Simplify 0 into 0
19.114 * [backup-simplify]: Simplify 1 into 1
19.114 * [backup-simplify]: Simplify 0 into 0
19.114 * [taylor]: Taking taylor expansion of 0 in im
19.114 * [backup-simplify]: Simplify 0 into 0
19.115 * [backup-simplify]: Simplify 0 into 0
19.115 * [backup-simplify]: Simplify 1 into 1
19.115 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
19.116 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
19.116 * [backup-simplify]: Simplify (+ 1 0) into 1
19.117 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
19.117 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
19.117 * [taylor]: Taking taylor expansion of 1/2 in im
19.117 * [backup-simplify]: Simplify 1/2 into 1/2
19.117 * [taylor]: Taking taylor expansion of im in im
19.117 * [backup-simplify]: Simplify 0 into 0
19.117 * [backup-simplify]: Simplify 1 into 1
19.118 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
19.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
19.119 * [backup-simplify]: Simplify 0 into 0
19.119 * [backup-simplify]: Simplify 0 into 0
19.119 * [backup-simplify]: Simplify 0 into 0
19.120 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
19.121 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
19.121 * [backup-simplify]: Simplify (+ 0 0) into 0
19.121 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
19.121 * [taylor]: Taking taylor expansion of 0 in im
19.121 * [backup-simplify]: Simplify 0 into 0
19.121 * [backup-simplify]: Simplify 0 into 0
19.122 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
19.122 * [backup-simplify]: Simplify 0 into 0
19.123 * [backup-simplify]: Simplify 0 into 0
19.123 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
19.123 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
19.123 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
19.123 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
19.123 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
19.123 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
19.123 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
19.123 * [taylor]: Taking taylor expansion of (/ 1 re) in im
19.123 * [taylor]: Taking taylor expansion of re in im
19.123 * [backup-simplify]: Simplify re into re
19.123 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
19.123 * [taylor]: Taking taylor expansion of (/ 1 re) in im
19.123 * [taylor]: Taking taylor expansion of re in im
19.123 * [backup-simplify]: Simplify re into re
19.123 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
19.123 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
19.124 * [taylor]: Taking taylor expansion of (/ 1 im) in im
19.124 * [taylor]: Taking taylor expansion of im in im
19.124 * [backup-simplify]: Simplify 0 into 0
19.124 * [backup-simplify]: Simplify 1 into 1
19.124 * [backup-simplify]: Simplify (/ 1 1) into 1
19.124 * [taylor]: Taking taylor expansion of (/ 1 im) in im
19.124 * [taylor]: Taking taylor expansion of im in im
19.124 * [backup-simplify]: Simplify 0 into 0
19.124 * [backup-simplify]: Simplify 1 into 1
19.124 * [backup-simplify]: Simplify (/ 1 1) into 1
19.125 * [backup-simplify]: Simplify (* 1 1) into 1
19.125 * [backup-simplify]: Simplify (+ 0 1) into 1
19.126 * [backup-simplify]: Simplify (sqrt 1) into 1
19.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
19.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
19.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
19.128 * [backup-simplify]: Simplify (+ 0 0) into 0
19.129 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
19.129 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
19.129 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
19.129 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
19.129 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
19.129 * [taylor]: Taking taylor expansion of (/ 1 re) in re
19.129 * [taylor]: Taking taylor expansion of re in re
19.129 * [backup-simplify]: Simplify 0 into 0
19.129 * [backup-simplify]: Simplify 1 into 1
19.130 * [backup-simplify]: Simplify (/ 1 1) into 1
19.130 * [taylor]: Taking taylor expansion of (/ 1 re) in re
19.130 * [taylor]: Taking taylor expansion of re in re
19.130 * [backup-simplify]: Simplify 0 into 0
19.130 * [backup-simplify]: Simplify 1 into 1
19.130 * [backup-simplify]: Simplify (/ 1 1) into 1
19.130 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
19.130 * [taylor]: Taking taylor expansion of (/ 1 im) in re
19.130 * [taylor]: Taking taylor expansion of im in re
19.131 * [backup-simplify]: Simplify im into im
19.131 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
19.131 * [taylor]: Taking taylor expansion of (/ 1 im) in re
19.131 * [taylor]: Taking taylor expansion of im in re
19.131 * [backup-simplify]: Simplify im into im
19.131 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
19.131 * [backup-simplify]: Simplify (* 1 1) into 1
19.132 * [backup-simplify]: Simplify (+ 1 0) into 1
19.132 * [backup-simplify]: Simplify (sqrt 1) into 1
19.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
19.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
19.135 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
19.135 * [backup-simplify]: Simplify (+ 0 0) into 0
19.136 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
19.136 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
19.136 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
19.136 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
19.136 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
19.136 * [taylor]: Taking taylor expansion of (/ 1 re) in re
19.136 * [taylor]: Taking taylor expansion of re in re
19.136 * [backup-simplify]: Simplify 0 into 0
19.136 * [backup-simplify]: Simplify 1 into 1
19.137 * [backup-simplify]: Simplify (/ 1 1) into 1
19.137 * [taylor]: Taking taylor expansion of (/ 1 re) in re
19.137 * [taylor]: Taking taylor expansion of re in re
19.137 * [backup-simplify]: Simplify 0 into 0
19.137 * [backup-simplify]: Simplify 1 into 1
19.137 * [backup-simplify]: Simplify (/ 1 1) into 1
19.137 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
19.137 * [taylor]: Taking taylor expansion of (/ 1 im) in re
19.137 * [taylor]: Taking taylor expansion of im in re
19.137 * [backup-simplify]: Simplify im into im
19.137 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
19.137 * [taylor]: Taking taylor expansion of (/ 1 im) in re
19.137 * [taylor]: Taking taylor expansion of im in re
19.137 * [backup-simplify]: Simplify im into im
19.137 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
19.138 * [backup-simplify]: Simplify (* 1 1) into 1
19.138 * [backup-simplify]: Simplify (+ 1 0) into 1
19.139 * [backup-simplify]: Simplify (sqrt 1) into 1
19.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
19.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
19.141 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
19.141 * [backup-simplify]: Simplify (+ 0 0) into 0
19.142 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
19.142 * [taylor]: Taking taylor expansion of 1 in im
19.142 * [backup-simplify]: Simplify 1 into 1
19.142 * [taylor]: Taking taylor expansion of 0 in im
19.142 * [backup-simplify]: Simplify 0 into 0
19.142 * [backup-simplify]: Simplify 1 into 1
19.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
19.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
19.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
19.146 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
19.147 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
19.148 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
19.149 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
19.149 * [taylor]: Taking taylor expansion of 1/2 in im
19.149 * [backup-simplify]: Simplify 1/2 into 1/2
19.149 * [taylor]: Taking taylor expansion of (pow im 2) in im
19.149 * [taylor]: Taking taylor expansion of im in im
19.149 * [backup-simplify]: Simplify 0 into 0
19.149 * [backup-simplify]: Simplify 1 into 1
19.149 * [backup-simplify]: Simplify (* 1 1) into 1
19.150 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
19.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
19.151 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
19.151 * [backup-simplify]: Simplify 0 into 0
19.152 * [backup-simplify]: Simplify 0 into 0
19.152 * [backup-simplify]: Simplify 0 into 0
19.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
19.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
19.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
19.155 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
19.156 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
19.156 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
19.156 * [backup-simplify]: Simplify (+ 0 0) into 0
19.157 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
19.157 * [taylor]: Taking taylor expansion of 0 in im
19.157 * [backup-simplify]: Simplify 0 into 0
19.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
19.160 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
19.160 * [backup-simplify]: Simplify 0 into 0
19.160 * [backup-simplify]: Simplify 0 into 0
19.160 * [backup-simplify]: Simplify 0 into 0
19.160 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
19.160 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
19.160 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
19.160 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
19.161 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
19.161 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
19.161 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
19.161 * [taylor]: Taking taylor expansion of (/ -1 re) in im
19.161 * [taylor]: Taking taylor expansion of -1 in im
19.161 * [backup-simplify]: Simplify -1 into -1
19.161 * [taylor]: Taking taylor expansion of re in im
19.161 * [backup-simplify]: Simplify re into re
19.161 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
19.161 * [taylor]: Taking taylor expansion of (/ -1 re) in im
19.161 * [taylor]: Taking taylor expansion of -1 in im
19.161 * [backup-simplify]: Simplify -1 into -1
19.161 * [taylor]: Taking taylor expansion of re in im
19.161 * [backup-simplify]: Simplify re into re
19.161 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
19.161 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
19.161 * [taylor]: Taking taylor expansion of (/ -1 im) in im
19.161 * [taylor]: Taking taylor expansion of -1 in im
19.161 * [backup-simplify]: Simplify -1 into -1
19.161 * [taylor]: Taking taylor expansion of im in im
19.161 * [backup-simplify]: Simplify 0 into 0
19.161 * [backup-simplify]: Simplify 1 into 1
19.162 * [backup-simplify]: Simplify (/ -1 1) into -1
19.162 * [taylor]: Taking taylor expansion of (/ -1 im) in im
19.162 * [taylor]: Taking taylor expansion of -1 in im
19.162 * [backup-simplify]: Simplify -1 into -1
19.162 * [taylor]: Taking taylor expansion of im in im
19.162 * [backup-simplify]: Simplify 0 into 0
19.162 * [backup-simplify]: Simplify 1 into 1
19.163 * [backup-simplify]: Simplify (/ -1 1) into -1
19.163 * [backup-simplify]: Simplify (* -1 -1) into 1
19.164 * [backup-simplify]: Simplify (+ 0 1) into 1
19.164 * [backup-simplify]: Simplify (sqrt 1) into 1
19.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
19.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
19.167 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
19.167 * [backup-simplify]: Simplify (+ 0 0) into 0
19.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
19.168 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
19.168 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
19.168 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
19.168 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
19.168 * [taylor]: Taking taylor expansion of (/ -1 re) in re
19.168 * [taylor]: Taking taylor expansion of -1 in re
19.168 * [backup-simplify]: Simplify -1 into -1
19.168 * [taylor]: Taking taylor expansion of re in re
19.168 * [backup-simplify]: Simplify 0 into 0
19.168 * [backup-simplify]: Simplify 1 into 1
19.169 * [backup-simplify]: Simplify (/ -1 1) into -1
19.169 * [taylor]: Taking taylor expansion of (/ -1 re) in re
19.169 * [taylor]: Taking taylor expansion of -1 in re
19.169 * [backup-simplify]: Simplify -1 into -1
19.169 * [taylor]: Taking taylor expansion of re in re
19.169 * [backup-simplify]: Simplify 0 into 0
19.169 * [backup-simplify]: Simplify 1 into 1
19.169 * [backup-simplify]: Simplify (/ -1 1) into -1
19.169 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
19.169 * [taylor]: Taking taylor expansion of (/ -1 im) in re
19.169 * [taylor]: Taking taylor expansion of -1 in re
19.169 * [backup-simplify]: Simplify -1 into -1
19.169 * [taylor]: Taking taylor expansion of im in re
19.169 * [backup-simplify]: Simplify im into im
19.170 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
19.170 * [taylor]: Taking taylor expansion of (/ -1 im) in re
19.170 * [taylor]: Taking taylor expansion of -1 in re
19.170 * [backup-simplify]: Simplify -1 into -1
19.170 * [taylor]: Taking taylor expansion of im in re
19.170 * [backup-simplify]: Simplify im into im
19.170 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
19.170 * [backup-simplify]: Simplify (* -1 -1) into 1
19.171 * [backup-simplify]: Simplify (+ 1 0) into 1
19.171 * [backup-simplify]: Simplify (sqrt 1) into 1
19.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
19.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
19.173 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
19.174 * [backup-simplify]: Simplify (+ 0 0) into 0
19.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
19.175 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
19.175 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
19.175 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
19.175 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
19.175 * [taylor]: Taking taylor expansion of (/ -1 re) in re
19.175 * [taylor]: Taking taylor expansion of -1 in re
19.175 * [backup-simplify]: Simplify -1 into -1
19.175 * [taylor]: Taking taylor expansion of re in re
19.175 * [backup-simplify]: Simplify 0 into 0
19.175 * [backup-simplify]: Simplify 1 into 1
19.175 * [backup-simplify]: Simplify (/ -1 1) into -1
19.175 * [taylor]: Taking taylor expansion of (/ -1 re) in re
19.176 * [taylor]: Taking taylor expansion of -1 in re
19.176 * [backup-simplify]: Simplify -1 into -1
19.176 * [taylor]: Taking taylor expansion of re in re
19.176 * [backup-simplify]: Simplify 0 into 0
19.176 * [backup-simplify]: Simplify 1 into 1
19.176 * [backup-simplify]: Simplify (/ -1 1) into -1
19.176 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
19.176 * [taylor]: Taking taylor expansion of (/ -1 im) in re
19.176 * [taylor]: Taking taylor expansion of -1 in re
19.176 * [backup-simplify]: Simplify -1 into -1
19.176 * [taylor]: Taking taylor expansion of im in re
19.176 * [backup-simplify]: Simplify im into im
19.176 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
19.176 * [taylor]: Taking taylor expansion of (/ -1 im) in re
19.176 * [taylor]: Taking taylor expansion of -1 in re
19.176 * [backup-simplify]: Simplify -1 into -1
19.176 * [taylor]: Taking taylor expansion of im in re
19.177 * [backup-simplify]: Simplify im into im
19.177 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
19.177 * [backup-simplify]: Simplify (* -1 -1) into 1
19.177 * [backup-simplify]: Simplify (+ 1 0) into 1
19.178 * [backup-simplify]: Simplify (sqrt 1) into 1
19.179 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
19.180 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
19.180 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
19.181 * [backup-simplify]: Simplify (+ 0 0) into 0
19.181 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
19.181 * [taylor]: Taking taylor expansion of 1 in im
19.181 * [backup-simplify]: Simplify 1 into 1
19.181 * [taylor]: Taking taylor expansion of 0 in im
19.182 * [backup-simplify]: Simplify 0 into 0
19.182 * [backup-simplify]: Simplify 1 into 1
19.183 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
19.184 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
19.185 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
19.185 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
19.185 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
19.186 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
19.186 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
19.187 * [taylor]: Taking taylor expansion of 1/2 in im
19.187 * [backup-simplify]: Simplify 1/2 into 1/2
19.187 * [taylor]: Taking taylor expansion of (pow im 2) in im
19.187 * [taylor]: Taking taylor expansion of im in im
19.187 * [backup-simplify]: Simplify 0 into 0
19.187 * [backup-simplify]: Simplify 1 into 1
19.187 * [backup-simplify]: Simplify (* 1 1) into 1
19.188 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
19.188 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
19.201 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
19.201 * [backup-simplify]: Simplify 0 into 0
19.201 * [backup-simplify]: Simplify 0 into 0
19.201 * [backup-simplify]: Simplify 0 into 0
19.202 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
19.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
19.204 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
19.204 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
19.204 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
19.204 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
19.204 * [backup-simplify]: Simplify (+ 0 0) into 0
19.205 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
19.205 * [taylor]: Taking taylor expansion of 0 in im
19.205 * [backup-simplify]: Simplify 0 into 0
19.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
19.207 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
19.207 * [backup-simplify]: Simplify 0 into 0
19.207 * [backup-simplify]: Simplify 0 into 0
19.207 * [backup-simplify]: Simplify 0 into 0
19.207 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
19.207 * * * [progress]: simplifying candidates
19.209 * [simplify]: Simplifying:
  (expm1 (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))
  (log1p (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))
  (* (exp re) (exp (* (sqrt (hypot re im)) (sqrt (hypot re im)))))
  (log (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))
  (exp (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))
  (* (cbrt (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (cbrt (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))))
  (cbrt (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))
  (* (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))
  (sqrt (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))
  (sqrt (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))
  (+ (pow re 3) (pow (* (sqrt (hypot re im)) (sqrt (hypot re im))) 3))
  (+ (* re re) (- (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* re (* (sqrt (hypot re im)) (sqrt (hypot re im))))))
  (- (* re re) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))))
  (- re (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (expm1 (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (log1p (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (* (hypot re im) (hypot re im))
  (* (sqrt (hypot re im)) (sqrt (hypot re im)))
  (* (hypot re im) (hypot re im))
  (+ 1 1)
  (+ (log (sqrt (hypot re im))) (log (sqrt (hypot re im))))
  (log (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (exp (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))))
  (* (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))))
  (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (* (hypot re im) (hypot re im))
  (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))))
  (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))
  (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))))
  (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (hypot re im)) (sqrt (hypot re im)))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* 1 1)
  (* (sqrt (hypot re im)) (sqrt (hypot re im)))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1 2))
  (* (sqrt (hypot re im)) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))))
  (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))))
  (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))))
  (* (sqrt (hypot re im)) (sqrt 1))
  (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))))
  (* (sqrt (hypot re im)) 1)
  (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im)))
  (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im)))
  (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))
  (* (sqrt (hypot re im)) (sqrt (hypot re im)))
  (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))
  (* (sqrt (hypot re im)) (sqrt (hypot re im)))
  (expm1 (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0)))
  (log1p (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0)))
  (log (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0)))
  (exp (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0)))
  (* (cbrt (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0))) (cbrt (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0))))
  (cbrt (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0)))
  (* (* (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0)) (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0))) (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0)))
  (sqrt (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))
  (sqrt 2.0)
  (sqrt (* (+ (pow re 3) (pow (* (sqrt (hypot re im)) (sqrt (hypot re im))) 3)) 2.0))
  (sqrt (+ (* re re) (- (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))))
  (sqrt (* (- (* re re) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))))) 2.0))
  (sqrt (- re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0)))
  (sqrt (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0)))
  (expm1 (hypot re im))
  (log1p (hypot re im))
  (+ (* re re) (* im im))
  (log (hypot re im))
  (exp (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (* (* (hypot re im) (hypot re im)) (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (+ re im)
  (* 2 re)
  0
  im
  re
  (* -1 re)
  (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re)))))))
  (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))))
  0
  im
  re
  (* -1 re)
19.211 * * [simplify]: iteration 0: 129 enodes
19.271 * * [simplify]: iteration 1: 283 enodes
19.477 * * [simplify]: iteration 2: 716 enodes
20.160 * * [simplify]: iteration 3: 2306 enodes
22.981 * * [simplify]: iteration complete: 5001 enodes
22.981 * * [simplify]: Extracting #0: cost 53 inf + 0
22.983 * * [simplify]: Extracting #1: cost 328 inf + 48
22.993 * * [simplify]: Extracting #2: cost 717 inf + 6861
23.032 * * [simplify]: Extracting #3: cost 643 inf + 44573
23.109 * * [simplify]: Extracting #4: cost 215 inf + 132873
23.209 * * [simplify]: Extracting #5: cost 29 inf + 181879
23.347 * * [simplify]: Extracting #6: cost 1 inf + 189003
23.453 * * [simplify]: Extracting #7: cost 0 inf + 189312
23.569 * [simplify]: Simplified to:
  (expm1 (+ (hypot re im) re))
  (log1p (+ (hypot re im) re))
  (exp (+ re (hypot re im)))
  (log (+ (hypot re im) re))
  (exp (+ re (hypot re im)))
  (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re)))
  (cbrt (+ (hypot re im) re))
  (* (* (+ (hypot re im) re) (+ (hypot re im) re)) (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  (fma (hypot re im) (* (hypot re im) (hypot re im)) (* re (* re re)))
  (fma (- (hypot re im) re) (hypot re im) (* re re))
  (- (* re re) (* (hypot re im) (hypot re im)))
  (- re (hypot re im))
  (expm1 (hypot re im))
  (log1p (hypot re im))
  1
  1
  2
  1
  1
  (* (hypot re im) (hypot re im))
  (hypot re im)
  (* (hypot re im) (hypot re im))
  2
  (log (hypot re im))
  (log (hypot re im))
  (exp (hypot re im))
  (* (* (hypot re im) (hypot re im)) (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (* (* (hypot re im) (hypot re im)) (hypot re im))
  (* (hypot re im) (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (* (sqrt (hypot re im)) (cbrt (sqrt (hypot re im))))
  (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  1
  (hypot re im)
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  1
  (hypot re im)
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  1
  2
  1
  (* (* (sqrt (hypot re im)) (cbrt (sqrt (hypot re im)))) (cbrt (sqrt (hypot re im))))
  (* (fabs (cbrt (hypot re im))) (sqrt (hypot re im)))
  (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))
  (sqrt (hypot re im))
  (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))
  (sqrt (hypot re im))
  (* (sqrt (hypot re im)) (cbrt (sqrt (hypot re im))))
  (* (sqrt (hypot re im)) (sqrt (cbrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))
  (hypot re im)
  (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))
  (hypot re im)
  (expm1 (sqrt (* 2.0 (+ re (hypot re im)))))
  (log1p (sqrt (* 2.0 (+ re (hypot re im)))))
  (log (sqrt (* 2.0 (+ re (hypot re im)))))
  (exp (sqrt (* 2.0 (+ re (hypot re im)))))
  (* (cbrt (sqrt (* 2.0 (+ re (hypot re im))))) (cbrt (sqrt (* 2.0 (+ re (hypot re im))))))
  (cbrt (sqrt (* 2.0 (+ re (hypot re im)))))
  (* (sqrt (* 2.0 (+ re (hypot re im)))) (* 2.0 (+ re (hypot re im))))
  (sqrt (+ (hypot re im) re))
  (sqrt 2.0)
  (sqrt (* (fma (hypot re im) (* (hypot re im) (hypot re im)) (* re (* re re))) 2.0))
  (sqrt (fma (- (hypot re im) re) (hypot re im) (* re re)))
  (sqrt (* (- re (hypot re im)) (* 2.0 (+ re (hypot re im)))))
  (sqrt (- re (hypot re im)))
  1/2
  1/2
  (sqrt (sqrt (* 2.0 (+ re (hypot re im)))))
  (sqrt (sqrt (* 2.0 (+ re (hypot re im)))))
  (expm1 (hypot re im))
  (log1p (hypot re im))
  (fma re re (* im im))
  (log (hypot re im))
  (exp (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (* (* (hypot re im) (hypot re im)) (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (+ re im)
  (* 2 re)
  0
  im
  re
  (- re)
  (* (* +nan.0 (sqrt 2.0)) (fma re (- re) (- im re)))
  (fma +nan.0 (- (/ (sqrt 2.0) (* re re)) (/ (sqrt 2.0) re)) (* +nan.0 (- (sqrt 2.0))))
  0
  im
  re
  (- re)
23.582 * * * [progress]: adding candidates to table
24.361 * [progress]: [Phase 3 of 3] Extracting.
24.361 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (* 0.5 (* (sqrt (+ re (hypot re im))) (sqrt 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (cbrt re) (cbrt re)) (cbrt re) (hypot re im)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (/ (fma (hypot re im) (* (hypot re im) (hypot re im)) (* re (* re re))) (fma (- (hypot re im) re) (hypot re im) (* re re))) 2.0))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0))) (sqrt (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0))))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (cbrt re) (cbrt re)) (cbrt re) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (* (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (* (sqrt (hypot re im)) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (cbrt (sqrt (hypot re im))))) 2.0))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* (fma (hypot re im) (* (hypot re im) (hypot re im)) (* re (* re re))) 2.0)) (sqrt (fma (- (hypot re im) re) (hypot re im) (* re re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (/ (fma re (* re re) (* (* (hypot re im) (hypot re im)) (hypot re im))) (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) 2.0))))> #<alt (λ (re im) (* 0.5 (* (* (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) (* (cbrt (sqrt 2.0)) (exp (* 1/6 (+ (log 1/2) (fma -2 (log (/ -1 im)) (log (/ -1 re))))))))))>)
24.375 * * * [regime-changes]: Trying 2 branch expressions: (im re)
24.375 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (* 0.5 (* (sqrt (+ re (hypot re im))) (sqrt 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (cbrt re) (cbrt re)) (cbrt re) (hypot re im)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (/ (fma (hypot re im) (* (hypot re im) (hypot re im)) (* re (* re re))) (fma (- (hypot re im) re) (hypot re im) (* re re))) 2.0))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0))) (sqrt (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0))))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (cbrt re) (cbrt re)) (cbrt re) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (* (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (* (sqrt (hypot re im)) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (cbrt (sqrt (hypot re im))))) 2.0))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* (fma (hypot re im) (* (hypot re im) (hypot re im)) (* re (* re re))) 2.0)) (sqrt (fma (- (hypot re im) re) (hypot re im) (* re re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (/ (fma re (* re re) (* (* (hypot re im) (hypot re im)) (hypot re im))) (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) 2.0))))> #<alt (λ (re im) (* 0.5 (* (* (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) (* (cbrt (sqrt 2.0)) (exp (* 1/6 (+ (log 1/2) (fma -2 (log (/ -1 im)) (log (/ -1 re))))))))))>)
24.533 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (* 0.5 (* (sqrt (+ re (hypot re im))) (sqrt 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (cbrt re) (cbrt re)) (cbrt re) (hypot re im)) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (/ (fma (hypot re im) (* (hypot re im) (hypot re im)) (* re (* re re))) (fma (- (hypot re im) re) (hypot re im) (* re re))) 2.0))))> #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0))) (sqrt (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0))))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (cbrt re) (cbrt re)) (cbrt re) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (* (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (* (sqrt (hypot re im)) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (cbrt (sqrt (hypot re im))))) 2.0))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* (fma (hypot re im) (* (hypot re im) (hypot re im)) (* re (* re re))) 2.0)) (sqrt (fma (- (hypot re im) re) (hypot re im) (* re re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (/ (fma re (* re re) (* (* (hypot re im) (hypot re im)) (hypot re im))) (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ re (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) 2.0))))> #<alt (λ (re im) (* 0.5 (* (* (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) (* (cbrt (sqrt 2.0)) (exp (* 1/6 (+ (log 1/2) (fma -2 (log (/ -1 im)) (log (/ -1 re))))))))))>)
24.706 * * * [regime]: Found split indices: #<option (#s(si 0 255))>
24.706 * [simplify]: Simplifying:
  (* 0.5 (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
24.707 * * [simplify]: iteration 0: 10 enodes
24.708 * * [simplify]: iteration 1: 13 enodes
24.710 * * [simplify]: iteration complete: 13 enodes
24.710 * * [simplify]: Extracting #0: cost 1 inf + 0
24.710 * * [simplify]: Extracting #1: cost 3 inf + 0
24.710 * * [simplify]: Extracting #2: cost 4 inf + 1
24.710 * * [simplify]: Extracting #3: cost 6 inf + 1
24.710 * * [simplify]: Extracting #4: cost 6 inf + 43
24.710 * * [simplify]: Extracting #5: cost 6 inf + 44
24.710 * * [simplify]: Extracting #6: cost 5 inf + 45
24.710 * * [simplify]: Extracting #7: cost 0 inf + 813
24.710 * [simplify]: Simplified to:
  (* 0.5 (* (sqrt 2.0) (sqrt (+ (hypot re im) re))))
30.520 * [regime-testing]: Baseline error score: 13.528163805723102
30.578 * [regime-testing]: Oracle error score: 12.957405160859228
30.646 * [regime-testing]: End program error score: 13.528163805723102
30.862 * [regime-testing]: Target error score: 33.5039546396037