0.002 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.087 * * * [progress]: [2/2] Setting up program.
0.093 * [progress]: [Phase 2 of 3] Improving.
0.093 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))>
0.093 * [simplify]: Simplifying (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
0.093 * * [simplify]: iters left: 6 (12 enodes)
0.099 * * [simplify]: iters left: 5 (46 enodes)
0.111 * * [simplify]: iters left: 4 (56 enodes)
0.118 * * [simplify]: Extracting #0: cost 1 inf + 0
0.118 * * [simplify]: Extracting #1: cost 4 inf + 0
0.118 * * [simplify]: Extracting #2: cost 5 inf + 1
0.118 * * [simplify]: Extracting #3: cost 10 inf + 1
0.118 * * [simplify]: Extracting #4: cost 14 inf + 2
0.118 * * [simplify]: Extracting #5: cost 13 inf + 87
0.118 * * [simplify]: Extracting #6: cost 16 inf + 87
0.118 * * [simplify]: Extracting #7: cost 18 inf + 128
0.118 * * [simplify]: Extracting #8: cost 15 inf + 211
0.119 * * [simplify]: Extracting #9: cost 6 inf + 1670
0.119 * * [simplify]: Extracting #10: cost 1 inf + 3047
0.120 * * [simplify]: Extracting #11: cost 0 inf + 3330
0.120 * [simplify]: Simplified to (* 0.5 (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2.0)))
0.120 * [simplify]: Simplified (2) to (λ (re im) (* 0.5 (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2.0))))
0.124 * * [progress]: iteration 1 / 4
0.124 * * * [progress]: picking best candidate
0.127 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))>
0.127 * * * [progress]: localizing error
0.173 * * * [progress]: generating rewritten candidates
0.173 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1)
0.179 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2)
0.209 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2)
0.226 * * * [progress]: generating series expansions
0.226 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1)
0.226 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
0.226 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
0.226 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.226 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.226 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.226 * [taylor]: Taking taylor expansion of im in im
0.226 * [backup-simplify]: Simplify 0 into 0
0.226 * [backup-simplify]: Simplify 1 into 1
0.226 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.226 * [taylor]: Taking taylor expansion of re in im
0.226 * [backup-simplify]: Simplify re into re
0.226 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.226 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.226 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.226 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.227 * [backup-simplify]: Simplify (+ 0 0) into 0
0.227 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.227 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.228 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.228 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.228 * [taylor]: Taking taylor expansion of im in re
0.228 * [backup-simplify]: Simplify im into im
0.228 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.228 * [taylor]: Taking taylor expansion of re in re
0.228 * [backup-simplify]: Simplify 0 into 0
0.228 * [backup-simplify]: Simplify 1 into 1
0.228 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.228 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.228 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.228 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.228 * [backup-simplify]: Simplify (+ 0 0) into 0
0.228 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.228 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.228 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.228 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.228 * [taylor]: Taking taylor expansion of im in re
0.228 * [backup-simplify]: Simplify im into im
0.228 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.228 * [taylor]: Taking taylor expansion of re in re
0.228 * [backup-simplify]: Simplify 0 into 0
0.228 * [backup-simplify]: Simplify 1 into 1
0.228 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.228 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.228 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.229 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.229 * [backup-simplify]: Simplify (+ 0 0) into 0
0.229 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.229 * [taylor]: Taking taylor expansion of im in im
0.229 * [backup-simplify]: Simplify 0 into 0
0.229 * [backup-simplify]: Simplify 1 into 1
0.229 * [backup-simplify]: Simplify 0 into 0
0.229 * [taylor]: Taking taylor expansion of 0 in im
0.229 * [backup-simplify]: Simplify 0 into 0
0.229 * [backup-simplify]: Simplify 0 into 0
0.229 * [backup-simplify]: Simplify 1 into 1
0.229 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.234 * [backup-simplify]: Simplify (* 1 1) into 1
0.234 * [backup-simplify]: Simplify (+ 0 1) into 1
0.235 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.235 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.235 * [taylor]: Taking taylor expansion of 1/2 in im
0.235 * [backup-simplify]: Simplify 1/2 into 1/2
0.235 * [taylor]: Taking taylor expansion of im in im
0.235 * [backup-simplify]: Simplify 0 into 0
0.235 * [backup-simplify]: Simplify 1 into 1
0.235 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.236 * [backup-simplify]: Simplify 0 into 0
0.236 * [backup-simplify]: Simplify 0 into 0
0.236 * [backup-simplify]: Simplify 0 into 0
0.236 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.237 * [backup-simplify]: Simplify (+ 0 0) into 0
0.237 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.237 * [taylor]: Taking taylor expansion of 0 in im
0.237 * [backup-simplify]: Simplify 0 into 0
0.237 * [backup-simplify]: Simplify 0 into 0
0.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.238 * [backup-simplify]: Simplify 0 into 0
0.238 * [backup-simplify]: Simplify 0 into 0
0.238 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.238 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
0.238 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
0.238 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.238 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.238 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.238 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.238 * [taylor]: Taking taylor expansion of re in im
0.238 * [backup-simplify]: Simplify re into re
0.238 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.238 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.238 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.238 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.238 * [taylor]: Taking taylor expansion of im in im
0.238 * [backup-simplify]: Simplify 0 into 0
0.238 * [backup-simplify]: Simplify 1 into 1
0.239 * [backup-simplify]: Simplify (* 1 1) into 1
0.239 * [backup-simplify]: Simplify (/ 1 1) into 1
0.239 * [backup-simplify]: Simplify (+ 0 1) into 1
0.239 * [backup-simplify]: Simplify (sqrt 1) into 1
0.240 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.240 * [backup-simplify]: Simplify (+ 0 0) into 0
0.241 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.241 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.241 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.241 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.241 * [taylor]: Taking taylor expansion of re in re
0.241 * [backup-simplify]: Simplify 0 into 0
0.241 * [backup-simplify]: Simplify 1 into 1
0.241 * [backup-simplify]: Simplify (* 1 1) into 1
0.241 * [backup-simplify]: Simplify (/ 1 1) into 1
0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.241 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.241 * [taylor]: Taking taylor expansion of im in re
0.241 * [backup-simplify]: Simplify im into im
0.241 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.242 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.242 * [backup-simplify]: Simplify (+ 1 0) into 1
0.242 * [backup-simplify]: Simplify (sqrt 1) into 1
0.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.243 * [backup-simplify]: Simplify (+ 0 0) into 0
0.243 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.244 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.244 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.244 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.244 * [taylor]: Taking taylor expansion of re in re
0.244 * [backup-simplify]: Simplify 0 into 0
0.244 * [backup-simplify]: Simplify 1 into 1
0.244 * [backup-simplify]: Simplify (* 1 1) into 1
0.244 * [backup-simplify]: Simplify (/ 1 1) into 1
0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.244 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.244 * [taylor]: Taking taylor expansion of im in re
0.244 * [backup-simplify]: Simplify im into im
0.244 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.244 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.245 * [backup-simplify]: Simplify (+ 1 0) into 1
0.245 * [backup-simplify]: Simplify (sqrt 1) into 1
0.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 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 in im
0.247 * [backup-simplify]: Simplify 1 into 1
0.247 * [taylor]: Taking taylor expansion of 0 in im
0.247 * [backup-simplify]: Simplify 0 into 0
0.247 * [backup-simplify]: Simplify 1 into 1
0.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.248 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.249 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.249 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.249 * [taylor]: Taking taylor expansion of 1/2 in im
0.249 * [backup-simplify]: Simplify 1/2 into 1/2
0.249 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.249 * [taylor]: Taking taylor expansion of im in im
0.249 * [backup-simplify]: Simplify 0 into 0
0.249 * [backup-simplify]: Simplify 1 into 1
0.249 * [backup-simplify]: Simplify (* 1 1) into 1
0.249 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.250 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.250 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.250 * [backup-simplify]: Simplify 0 into 0
0.250 * [backup-simplify]: Simplify 0 into 0
0.250 * [backup-simplify]: Simplify 0 into 0
0.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.252 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.252 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.252 * [backup-simplify]: Simplify (+ 0 0) into 0
0.252 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.252 * [taylor]: Taking taylor expansion of 0 in im
0.252 * [backup-simplify]: Simplify 0 into 0
0.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.254 * [backup-simplify]: Simplify 0 into 0
0.254 * [backup-simplify]: Simplify 0 into 0
0.254 * [backup-simplify]: Simplify 0 into 0
0.254 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.254 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
0.254 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
0.254 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.254 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.254 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.254 * [taylor]: Taking taylor expansion of re in im
0.254 * [backup-simplify]: Simplify re into re
0.254 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.254 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.254 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.254 * [taylor]: Taking taylor expansion of im in im
0.254 * [backup-simplify]: Simplify 0 into 0
0.254 * [backup-simplify]: Simplify 1 into 1
0.254 * [backup-simplify]: Simplify (* 1 1) into 1
0.255 * [backup-simplify]: Simplify (/ 1 1) into 1
0.255 * [backup-simplify]: Simplify (+ 0 1) into 1
0.255 * [backup-simplify]: Simplify (sqrt 1) into 1
0.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.256 * [backup-simplify]: Simplify (+ 0 0) into 0
0.257 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.257 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.257 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.257 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.257 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.257 * [taylor]: Taking taylor expansion of re in re
0.257 * [backup-simplify]: Simplify 0 into 0
0.257 * [backup-simplify]: Simplify 1 into 1
0.257 * [backup-simplify]: Simplify (* 1 1) into 1
0.257 * [backup-simplify]: Simplify (/ 1 1) into 1
0.257 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.257 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.257 * [taylor]: Taking taylor expansion of im in re
0.257 * [backup-simplify]: Simplify im into im
0.257 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.257 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.258 * [backup-simplify]: Simplify (+ 1 0) into 1
0.258 * [backup-simplify]: Simplify (sqrt 1) into 1
0.258 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.259 * [backup-simplify]: Simplify (+ 0 0) into 0
0.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.259 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.259 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.259 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.259 * [taylor]: Taking taylor expansion of re in re
0.259 * [backup-simplify]: Simplify 0 into 0
0.259 * [backup-simplify]: Simplify 1 into 1
0.260 * [backup-simplify]: Simplify (* 1 1) into 1
0.260 * [backup-simplify]: Simplify (/ 1 1) into 1
0.260 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.260 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.260 * [taylor]: Taking taylor expansion of im in re
0.260 * [backup-simplify]: Simplify im into im
0.260 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.260 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.260 * [backup-simplify]: Simplify (+ 1 0) into 1
0.261 * [backup-simplify]: Simplify (sqrt 1) into 1
0.261 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.262 * [backup-simplify]: Simplify (+ 0 0) into 0
0.262 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.262 * [taylor]: Taking taylor expansion of 1 in im
0.262 * [backup-simplify]: Simplify 1 into 1
0.262 * [taylor]: Taking taylor expansion of 0 in im
0.262 * [backup-simplify]: Simplify 0 into 0
0.262 * [backup-simplify]: Simplify 1 into 1
0.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.263 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.264 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.264 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.264 * [taylor]: Taking taylor expansion of 1/2 in im
0.264 * [backup-simplify]: Simplify 1/2 into 1/2
0.264 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.264 * [taylor]: Taking taylor expansion of im in im
0.264 * [backup-simplify]: Simplify 0 into 0
0.264 * [backup-simplify]: Simplify 1 into 1
0.265 * [backup-simplify]: Simplify (* 1 1) into 1
0.265 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.266 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.266 * [backup-simplify]: Simplify 0 into 0
0.266 * [backup-simplify]: Simplify 0 into 0
0.266 * [backup-simplify]: Simplify 0 into 0
0.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.267 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.267 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.267 * [backup-simplify]: Simplify (+ 0 0) into 0
0.268 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.268 * [taylor]: Taking taylor expansion of 0 in im
0.268 * [backup-simplify]: Simplify 0 into 0
0.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.269 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.269 * [backup-simplify]: Simplify 0 into 0
0.269 * [backup-simplify]: Simplify 0 into 0
0.269 * [backup-simplify]: Simplify 0 into 0
0.269 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.269 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2)
0.269 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2))))
0.269 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0
0.269 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
0.269 * [taylor]: Taking taylor expansion of re in im
0.269 * [backup-simplify]: Simplify re into re
0.269 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.269 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.269 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.269 * [taylor]: Taking taylor expansion of im in im
0.269 * [backup-simplify]: Simplify 0 into 0
0.269 * [backup-simplify]: Simplify 1 into 1
0.269 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.269 * [taylor]: Taking taylor expansion of re in im
0.269 * [backup-simplify]: Simplify re into re
0.269 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.269 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.270 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.270 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.270 * [backup-simplify]: Simplify (+ 0 0) into 0
0.270 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.270 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.270 * [taylor]: Taking taylor expansion of re in re
0.270 * [backup-simplify]: Simplify 0 into 0
0.270 * [backup-simplify]: Simplify 1 into 1
0.270 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.270 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.270 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.270 * [taylor]: Taking taylor expansion of im in re
0.270 * [backup-simplify]: Simplify im into im
0.270 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.270 * [taylor]: Taking taylor expansion of re in re
0.270 * [backup-simplify]: Simplify 0 into 0
0.270 * [backup-simplify]: Simplify 1 into 1
0.270 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.270 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.270 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.270 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.271 * [backup-simplify]: Simplify (+ 0 0) into 0
0.271 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.271 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.271 * [taylor]: Taking taylor expansion of re in re
0.271 * [backup-simplify]: Simplify 0 into 0
0.271 * [backup-simplify]: Simplify 1 into 1
0.271 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.271 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.271 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.271 * [taylor]: Taking taylor expansion of im in re
0.271 * [backup-simplify]: Simplify im into im
0.271 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.271 * [taylor]: Taking taylor expansion of re in re
0.271 * [backup-simplify]: Simplify 0 into 0
0.271 * [backup-simplify]: Simplify 1 into 1
0.271 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.271 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.271 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.271 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.271 * [backup-simplify]: Simplify (+ 0 0) into 0
0.271 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.271 * [backup-simplify]: Simplify (+ 0 im) into im
0.271 * [taylor]: Taking taylor expansion of im in im
0.271 * [backup-simplify]: Simplify 0 into 0
0.271 * [backup-simplify]: Simplify 1 into 1
0.271 * [backup-simplify]: Simplify 0 into 0
0.272 * [backup-simplify]: Simplify (+ 1 0) into 1
0.272 * [taylor]: Taking taylor expansion of 1 in im
0.272 * [backup-simplify]: Simplify 1 into 1
0.272 * [backup-simplify]: Simplify 1 into 1
0.272 * [backup-simplify]: Simplify 1 into 1
0.272 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.272 * [backup-simplify]: Simplify (* 1 1) into 1
0.273 * [backup-simplify]: Simplify (+ 0 1) into 1
0.273 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.273 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.273 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
0.273 * [taylor]: Taking taylor expansion of 1/2 in im
0.273 * [backup-simplify]: Simplify 1/2 into 1/2
0.273 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.273 * [taylor]: Taking taylor expansion of im in im
0.273 * [backup-simplify]: Simplify 0 into 0
0.273 * [backup-simplify]: Simplify 1 into 1
0.273 * [backup-simplify]: Simplify (/ 1 1) into 1
0.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.274 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.274 * [backup-simplify]: Simplify 0 into 0
0.274 * [backup-simplify]: Simplify 0 into 0
0.274 * [backup-simplify]: Simplify 0 into 0
0.275 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.276 * [backup-simplify]: Simplify (+ 0 0) into 0
0.276 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.276 * [backup-simplify]: Simplify (+ 0 0) into 0
0.276 * [taylor]: Taking taylor expansion of 0 in im
0.276 * [backup-simplify]: Simplify 0 into 0
0.276 * [backup-simplify]: Simplify 0 into 0
0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.277 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.277 * [backup-simplify]: Simplify 0 into 0
0.277 * [backup-simplify]: Simplify 0 into 0
0.277 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
0.277 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))
0.277 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
0.277 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
0.277 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.277 * [taylor]: Taking taylor expansion of re in im
0.277 * [backup-simplify]: Simplify re into re
0.278 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.278 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.278 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.278 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.278 * [taylor]: Taking taylor expansion of re in im
0.278 * [backup-simplify]: Simplify re into re
0.278 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.278 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.278 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.278 * [taylor]: Taking taylor expansion of im in im
0.278 * [backup-simplify]: Simplify 0 into 0
0.278 * [backup-simplify]: Simplify 1 into 1
0.278 * [backup-simplify]: Simplify (* 1 1) into 1
0.278 * [backup-simplify]: Simplify (/ 1 1) into 1
0.279 * [backup-simplify]: Simplify (+ 0 1) into 1
0.279 * [backup-simplify]: Simplify (sqrt 1) into 1
0.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.280 * [backup-simplify]: Simplify (+ 0 0) into 0
0.280 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.280 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.280 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.280 * [taylor]: Taking taylor expansion of re in re
0.280 * [backup-simplify]: Simplify 0 into 0
0.280 * [backup-simplify]: Simplify 1 into 1
0.281 * [backup-simplify]: Simplify (/ 1 1) into 1
0.281 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.281 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.281 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.281 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.281 * [taylor]: Taking taylor expansion of re in re
0.281 * [backup-simplify]: Simplify 0 into 0
0.281 * [backup-simplify]: Simplify 1 into 1
0.281 * [backup-simplify]: Simplify (* 1 1) into 1
0.281 * [backup-simplify]: Simplify (/ 1 1) into 1
0.281 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.281 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.281 * [taylor]: Taking taylor expansion of im in re
0.281 * [backup-simplify]: Simplify im into im
0.281 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.281 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.282 * [backup-simplify]: Simplify (+ 1 0) into 1
0.282 * [backup-simplify]: Simplify (sqrt 1) into 1
0.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.283 * [backup-simplify]: Simplify (+ 0 0) into 0
0.283 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.283 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.283 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.283 * [taylor]: Taking taylor expansion of re in re
0.283 * [backup-simplify]: Simplify 0 into 0
0.283 * [backup-simplify]: Simplify 1 into 1
0.284 * [backup-simplify]: Simplify (/ 1 1) into 1
0.284 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.284 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.284 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.284 * [taylor]: Taking taylor expansion of re in re
0.284 * [backup-simplify]: Simplify 0 into 0
0.284 * [backup-simplify]: Simplify 1 into 1
0.284 * [backup-simplify]: Simplify (* 1 1) into 1
0.284 * [backup-simplify]: Simplify (/ 1 1) into 1
0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.284 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.284 * [taylor]: Taking taylor expansion of im in re
0.284 * [backup-simplify]: Simplify im into im
0.284 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.284 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.285 * [backup-simplify]: Simplify (+ 1 0) into 1
0.285 * [backup-simplify]: Simplify (sqrt 1) into 1
0.285 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.286 * [backup-simplify]: Simplify (+ 0 0) into 0
0.286 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.287 * [backup-simplify]: Simplify (+ 1 1) into 2
0.287 * [taylor]: Taking taylor expansion of 2 in im
0.287 * [backup-simplify]: Simplify 2 into 2
0.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.287 * [backup-simplify]: Simplify (+ 0 0) into 0
0.287 * [taylor]: Taking taylor expansion of 0 in im
0.287 * [backup-simplify]: Simplify 0 into 0
0.288 * [backup-simplify]: Simplify 2 into 2
0.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.289 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.290 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.290 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.290 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.290 * [taylor]: Taking taylor expansion of 1/2 in im
0.290 * [backup-simplify]: Simplify 1/2 into 1/2
0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.290 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.290 * [taylor]: Taking taylor expansion of im in im
0.290 * [backup-simplify]: Simplify 0 into 0
0.290 * [backup-simplify]: Simplify 1 into 1
0.290 * [backup-simplify]: Simplify (* 1 1) into 1
0.291 * [backup-simplify]: Simplify (/ 1 1) into 1
0.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.293 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.293 * [backup-simplify]: Simplify 0 into 0
0.293 * [backup-simplify]: Simplify 0 into 0
0.293 * [backup-simplify]: Simplify 0 into 0
0.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.296 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.296 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.297 * [backup-simplify]: Simplify (+ 0 0) into 0
0.297 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.298 * [backup-simplify]: Simplify (+ 0 0) into 0
0.298 * [taylor]: Taking taylor expansion of 0 in im
0.298 * [backup-simplify]: Simplify 0 into 0
0.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.301 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.301 * [backup-simplify]: Simplify 0 into 0
0.301 * [backup-simplify]: Simplify 0 into 0
0.301 * [backup-simplify]: Simplify 0 into 0
0.301 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
0.301 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))
0.301 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
0.301 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
0.301 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.301 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.301 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.301 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.301 * [taylor]: Taking taylor expansion of re in im
0.301 * [backup-simplify]: Simplify re into re
0.302 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.302 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.302 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.302 * [taylor]: Taking taylor expansion of im in im
0.302 * [backup-simplify]: Simplify 0 into 0
0.302 * [backup-simplify]: Simplify 1 into 1
0.302 * [backup-simplify]: Simplify (* 1 1) into 1
0.303 * [backup-simplify]: Simplify (/ 1 1) into 1
0.303 * [backup-simplify]: Simplify (+ 0 1) into 1
0.303 * [backup-simplify]: Simplify (sqrt 1) into 1
0.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.305 * [backup-simplify]: Simplify (+ 0 0) into 0
0.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.306 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.306 * [taylor]: Taking taylor expansion of re in im
0.306 * [backup-simplify]: Simplify re into re
0.306 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.306 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.306 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.306 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.306 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.306 * [taylor]: Taking taylor expansion of re in re
0.306 * [backup-simplify]: Simplify 0 into 0
0.306 * [backup-simplify]: Simplify 1 into 1
0.307 * [backup-simplify]: Simplify (* 1 1) into 1
0.307 * [backup-simplify]: Simplify (/ 1 1) into 1
0.307 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.307 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.307 * [taylor]: Taking taylor expansion of im in re
0.307 * [backup-simplify]: Simplify im into im
0.307 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.307 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.308 * [backup-simplify]: Simplify (+ 1 0) into 1
0.308 * [backup-simplify]: Simplify (sqrt 1) into 1
0.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.310 * [backup-simplify]: Simplify (+ 0 0) into 0
0.311 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.311 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.311 * [taylor]: Taking taylor expansion of re in re
0.311 * [backup-simplify]: Simplify 0 into 0
0.311 * [backup-simplify]: Simplify 1 into 1
0.311 * [backup-simplify]: Simplify (/ 1 1) into 1
0.311 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.311 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.311 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.311 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.311 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.311 * [taylor]: Taking taylor expansion of re in re
0.311 * [backup-simplify]: Simplify 0 into 0
0.311 * [backup-simplify]: Simplify 1 into 1
0.312 * [backup-simplify]: Simplify (* 1 1) into 1
0.312 * [backup-simplify]: Simplify (/ 1 1) into 1
0.312 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.312 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.312 * [taylor]: Taking taylor expansion of im in re
0.312 * [backup-simplify]: Simplify im into im
0.312 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.312 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.313 * [backup-simplify]: Simplify (+ 1 0) into 1
0.313 * [backup-simplify]: Simplify (sqrt 1) into 1
0.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.315 * [backup-simplify]: Simplify (+ 0 0) into 0
0.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.315 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.315 * [taylor]: Taking taylor expansion of re in re
0.316 * [backup-simplify]: Simplify 0 into 0
0.316 * [backup-simplify]: Simplify 1 into 1
0.316 * [backup-simplify]: Simplify (/ 1 1) into 1
0.316 * [backup-simplify]: Simplify (- 1) into -1
0.317 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.317 * [taylor]: Taking taylor expansion of 0 in im
0.317 * [backup-simplify]: Simplify 0 into 0
0.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.318 * [backup-simplify]: Simplify (- 0) into 0
0.319 * [backup-simplify]: Simplify (+ 0 0) into 0
0.319 * [taylor]: Taking taylor expansion of 0 in im
0.319 * [backup-simplify]: Simplify 0 into 0
0.319 * [backup-simplify]: Simplify 0 into 0
0.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.321 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.322 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.323 * [backup-simplify]: Simplify (- 0) into 0
0.323 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.323 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.323 * [taylor]: Taking taylor expansion of 1/2 in im
0.323 * [backup-simplify]: Simplify 1/2 into 1/2
0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.324 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.324 * [taylor]: Taking taylor expansion of im in im
0.324 * [backup-simplify]: Simplify 0 into 0
0.324 * [backup-simplify]: Simplify 1 into 1
0.324 * [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
0.326 * [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
0.327 * [backup-simplify]: Simplify 0 into 0
0.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.329 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.329 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.329 * [backup-simplify]: Simplify (+ 0 0) into 0
0.330 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.331 * [backup-simplify]: Simplify (- 0) into 0
0.332 * [backup-simplify]: Simplify (+ 0 0) into 0
0.332 * [taylor]: Taking taylor expansion of 0 in im
0.332 * [backup-simplify]: Simplify 0 into 0
0.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.334 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.334 * [backup-simplify]: Simplify 0 into 0
0.334 * [backup-simplify]: Simplify 0 into 0
0.335 * [backup-simplify]: Simplify 0 into 0
0.335 * * * * [progress]: [ 3 / 3 ] generating series at (2 2)
0.335 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) into (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))))
0.335 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in (re im) around 0
0.335 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in im
0.335 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.335 * [taylor]: Taking taylor expansion of 2.0 in im
0.335 * [backup-simplify]: Simplify 2.0 into 2.0
0.335 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.336 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.336 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im
0.336 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
0.336 * [taylor]: Taking taylor expansion of re in im
0.336 * [backup-simplify]: Simplify re into re
0.336 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.336 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.336 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.336 * [taylor]: Taking taylor expansion of im in im
0.336 * [backup-simplify]: Simplify 0 into 0
0.336 * [backup-simplify]: Simplify 1 into 1
0.336 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.336 * [taylor]: Taking taylor expansion of re in im
0.337 * [backup-simplify]: Simplify re into re
0.337 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.337 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.337 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.337 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.337 * [backup-simplify]: Simplify (+ 0 0) into 0
0.337 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.337 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
0.337 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re))
0.338 * [backup-simplify]: Simplify (+ 0 0) into 0
0.338 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
0.338 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re
0.338 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.338 * [taylor]: Taking taylor expansion of 2.0 in re
0.338 * [backup-simplify]: Simplify 2.0 into 2.0
0.338 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.339 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.339 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re
0.339 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.339 * [taylor]: Taking taylor expansion of re in re
0.339 * [backup-simplify]: Simplify 0 into 0
0.339 * [backup-simplify]: Simplify 1 into 1
0.339 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.339 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.340 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.340 * [taylor]: Taking taylor expansion of im in re
0.340 * [backup-simplify]: Simplify im into im
0.340 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.340 * [taylor]: Taking taylor expansion of re in re
0.340 * [backup-simplify]: Simplify 0 into 0
0.340 * [backup-simplify]: Simplify 1 into 1
0.340 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.340 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.340 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.340 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.340 * [backup-simplify]: Simplify (+ 0 0) into 0
0.341 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.341 * [backup-simplify]: Simplify (+ 0 im) into im
0.341 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.341 * [backup-simplify]: Simplify (+ 1 0) into 1
0.341 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.341 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re
0.341 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.341 * [taylor]: Taking taylor expansion of 2.0 in re
0.341 * [backup-simplify]: Simplify 2.0 into 2.0
0.342 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.345 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.345 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re
0.345 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.345 * [taylor]: Taking taylor expansion of re in re
0.345 * [backup-simplify]: Simplify 0 into 0
0.345 * [backup-simplify]: Simplify 1 into 1
0.345 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.345 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.345 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.345 * [taylor]: Taking taylor expansion of im in re
0.345 * [backup-simplify]: Simplify im into im
0.345 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.345 * [taylor]: Taking taylor expansion of re in re
0.345 * [backup-simplify]: Simplify 0 into 0
0.345 * [backup-simplify]: Simplify 1 into 1
0.345 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.345 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.345 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.345 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.346 * [backup-simplify]: Simplify (+ 0 0) into 0
0.346 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.346 * [backup-simplify]: Simplify (+ 0 im) into im
0.346 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.347 * [backup-simplify]: Simplify (+ 1 0) into 1
0.347 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.347 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
0.347 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
0.347 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.347 * [taylor]: Taking taylor expansion of 2.0 in im
0.347 * [backup-simplify]: Simplify 2.0 into 2.0
0.348 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.348 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.348 * [taylor]: Taking taylor expansion of (sqrt im) in im
0.349 * [taylor]: Taking taylor expansion of im in im
0.349 * [backup-simplify]: Simplify 0 into 0
0.349 * [backup-simplify]: Simplify 1 into 1
0.349 * [backup-simplify]: Simplify (sqrt 0) into 0
0.350 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.351 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.351 * [backup-simplify]: Simplify 0 into 0
0.352 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
0.352 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
0.352 * [taylor]: Taking taylor expansion of 1/2 in im
0.352 * [backup-simplify]: Simplify 1/2 into 1/2
0.352 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
0.352 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.352 * [taylor]: Taking taylor expansion of 2.0 in im
0.352 * [backup-simplify]: Simplify 2.0 into 2.0
0.352 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.353 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.353 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
0.353 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.353 * [taylor]: Taking taylor expansion of im in im
0.353 * [backup-simplify]: Simplify 0 into 0
0.353 * [backup-simplify]: Simplify 1 into 1
0.354 * [backup-simplify]: Simplify (/ 1 1) into 1
0.354 * [backup-simplify]: Simplify (sqrt 0) into 0
0.355 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.357 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.358 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.362 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.363 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.365 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.367 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.367 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.368 * [backup-simplify]: Simplify (* 1 1) into 1
0.368 * [backup-simplify]: Simplify (+ 0 1) into 1
0.369 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.369 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.370 * [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))))
0.371 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.371 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/8 (sqrt (/ 1 (pow im 3))))) (+ (* 0 (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im)))) into (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))))
0.372 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
0.372 * [taylor]: Taking taylor expansion of 1/8 in im
0.372 * [backup-simplify]: Simplify 1/8 into 1/8
0.372 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
0.372 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.372 * [taylor]: Taking taylor expansion of 2.0 in im
0.372 * [backup-simplify]: Simplify 2.0 into 2.0
0.372 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.373 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
0.373 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
0.373 * [taylor]: Taking taylor expansion of (pow im 3) in im
0.373 * [taylor]: Taking taylor expansion of im in im
0.373 * [backup-simplify]: Simplify 0 into 0
0.373 * [backup-simplify]: Simplify 1 into 1
0.373 * [backup-simplify]: Simplify (* 1 1) into 1
0.374 * [backup-simplify]: Simplify (* 1 1) into 1
0.374 * [backup-simplify]: Simplify (/ 1 1) into 1
0.375 * [backup-simplify]: Simplify (sqrt 0) into 0
0.376 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.376 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.377 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.381 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.382 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.385 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.387 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.387 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.394 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.395 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.400 * [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)))))))
0.401 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))
0.401 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in (re im) around 0
0.401 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im
0.401 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.401 * [taylor]: Taking taylor expansion of 2.0 in im
0.401 * [backup-simplify]: Simplify 2.0 into 2.0
0.401 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.402 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
0.402 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
0.402 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.402 * [taylor]: Taking taylor expansion of re in im
0.402 * [backup-simplify]: Simplify re into re
0.402 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.402 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.402 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.402 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.402 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.402 * [taylor]: Taking taylor expansion of re in im
0.402 * [backup-simplify]: Simplify re into re
0.402 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.402 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.402 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.402 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.402 * [taylor]: Taking taylor expansion of im in im
0.402 * [backup-simplify]: Simplify 0 into 0
0.403 * [backup-simplify]: Simplify 1 into 1
0.403 * [backup-simplify]: Simplify (* 1 1) into 1
0.403 * [backup-simplify]: Simplify (/ 1 1) into 1
0.404 * [backup-simplify]: Simplify (+ 0 1) into 1
0.404 * [backup-simplify]: Simplify (sqrt 1) into 1
0.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.406 * [backup-simplify]: Simplify (+ 0 0) into 0
0.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.407 * [backup-simplify]: Simplify (+ 0 1) into 1
0.407 * [backup-simplify]: Simplify (sqrt 0) into 0
0.409 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.409 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re
0.409 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.409 * [taylor]: Taking taylor expansion of 2.0 in re
0.409 * [backup-simplify]: Simplify 2.0 into 2.0
0.409 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.410 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.410 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
0.410 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.410 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.410 * [taylor]: Taking taylor expansion of re in re
0.410 * [backup-simplify]: Simplify 0 into 0
0.410 * [backup-simplify]: Simplify 1 into 1
0.411 * [backup-simplify]: Simplify (/ 1 1) into 1
0.411 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.411 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.411 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.411 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.411 * [taylor]: Taking taylor expansion of re in re
0.411 * [backup-simplify]: Simplify 0 into 0
0.411 * [backup-simplify]: Simplify 1 into 1
0.411 * [backup-simplify]: Simplify (* 1 1) into 1
0.412 * [backup-simplify]: Simplify (/ 1 1) into 1
0.412 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.412 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.412 * [taylor]: Taking taylor expansion of im in re
0.412 * [backup-simplify]: Simplify im into im
0.412 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.412 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.412 * [backup-simplify]: Simplify (+ 1 0) into 1
0.413 * [backup-simplify]: Simplify (sqrt 1) into 1
0.413 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.414 * [backup-simplify]: Simplify (+ 0 0) into 0
0.415 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.415 * [backup-simplify]: Simplify (+ 1 1) into 2
0.416 * [backup-simplify]: Simplify (sqrt 0) into 0
0.417 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.417 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re
0.417 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.417 * [taylor]: Taking taylor expansion of 2.0 in re
0.417 * [backup-simplify]: Simplify 2.0 into 2.0
0.418 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.419 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
0.419 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.419 * [taylor]: Taking taylor expansion of (/ 1 re) in re
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
0.419 * [backup-simplify]: Simplify (/ 1 1) into 1
0.419 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.419 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.419 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.419 * [taylor]: Taking taylor expansion of (pow re 2) in re
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 * [backup-simplify]: Simplify (/ 1 1) into 1
0.420 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.420 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.420 * [taylor]: Taking taylor expansion of im in re
0.420 * [backup-simplify]: Simplify im into im
0.420 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.420 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.421 * [backup-simplify]: Simplify (+ 1 0) into 1
0.421 * [backup-simplify]: Simplify (sqrt 1) into 1
0.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.423 * [backup-simplify]: Simplify (+ 0 0) into 0
0.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.424 * [backup-simplify]: Simplify (+ 1 1) into 2
0.424 * [backup-simplify]: Simplify (sqrt 0) into 0
0.426 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.426 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.426 * [taylor]: Taking taylor expansion of 0 in im
0.426 * [backup-simplify]: Simplify 0 into 0
0.429 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.429 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.429 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.429 * [taylor]: Taking taylor expansion of +nan.0 in im
0.429 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.429 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.429 * [taylor]: Taking taylor expansion of 2.0 in im
0.429 * [backup-simplify]: Simplify 2.0 into 2.0
0.429 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.430 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.430 * [backup-simplify]: Simplify 0 into 0
0.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.431 * [backup-simplify]: Simplify (+ 0 0) into 0
0.434 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.435 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.437 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.437 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.438 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.438 * [taylor]: Taking taylor expansion of +nan.0 in im
0.438 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.438 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.438 * [taylor]: Taking taylor expansion of 2.0 in im
0.438 * [backup-simplify]: Simplify 2.0 into 2.0
0.438 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.439 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.440 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.441 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.443 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.443 * [backup-simplify]: Simplify 0 into 0
0.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.446 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.447 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.447 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.449 * [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))
0.450 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.452 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))))
0.452 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
0.452 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
0.452 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.452 * [taylor]: Taking taylor expansion of +nan.0 in im
0.452 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.452 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.452 * [taylor]: Taking taylor expansion of 2.0 in im
0.452 * [backup-simplify]: Simplify 2.0 into 2.0
0.452 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.453 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.453 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.453 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.453 * [taylor]: Taking taylor expansion of +nan.0 in im
0.453 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.453 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.453 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.453 * [taylor]: Taking taylor expansion of 2.0 in im
0.453 * [backup-simplify]: Simplify 2.0 into 2.0
0.454 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.455 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.455 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.455 * [taylor]: Taking taylor expansion of im in im
0.455 * [backup-simplify]: Simplify 0 into 0
0.455 * [backup-simplify]: Simplify 1 into 1
0.455 * [backup-simplify]: Simplify (* 1 1) into 1
0.456 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.456 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.458 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.459 * [backup-simplify]: Simplify (- 0) into 0
0.459 * [backup-simplify]: Simplify (+ 0 0) into 0
0.459 * [backup-simplify]: Simplify (- 0) into 0
0.459 * [backup-simplify]: Simplify 0 into 0
0.460 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.462 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.463 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.464 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.465 * [backup-simplify]: Simplify (- 0) into 0
0.465 * [backup-simplify]: Simplify 0 into 0
0.465 * [backup-simplify]: Simplify 0 into 0
0.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.468 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.468 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.468 * [backup-simplify]: Simplify (+ 0 0) into 0
0.469 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.469 * [backup-simplify]: Simplify (+ 0 0) into 0
0.470 * [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)))
0.472 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.474 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))))
0.474 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
0.474 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
0.474 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.474 * [taylor]: Taking taylor expansion of +nan.0 in im
0.474 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.474 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.474 * [taylor]: Taking taylor expansion of 2.0 in im
0.474 * [backup-simplify]: Simplify 2.0 into 2.0
0.474 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.475 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.475 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.475 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.475 * [taylor]: Taking taylor expansion of +nan.0 in im
0.475 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.475 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) 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)
0.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.477 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.477 * [taylor]: Taking taylor expansion of im in im
0.477 * [backup-simplify]: Simplify 0 into 0
0.477 * [backup-simplify]: Simplify 1 into 1
0.477 * [backup-simplify]: Simplify (* 1 1) into 1
0.478 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.479 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.480 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.481 * [backup-simplify]: Simplify (- 0) into 0
0.481 * [backup-simplify]: Simplify (+ 0 0) into 0
0.481 * [backup-simplify]: Simplify (- 0) into 0
0.481 * [backup-simplify]: Simplify 0 into 0
0.482 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.483 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.490 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.490 * [backup-simplify]: Simplify (- 0) into 0
0.492 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
0.495 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.496 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.501 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 re)) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 re))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
0.501 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))
0.501 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in (re im) around 0
0.502 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im
0.502 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.502 * [taylor]: Taking taylor expansion of 2.0 in im
0.502 * [backup-simplify]: Simplify 2.0 into 2.0
0.502 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.503 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im
0.503 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
0.503 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.503 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.503 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.503 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.503 * [taylor]: Taking taylor expansion of re in im
0.503 * [backup-simplify]: Simplify re into re
0.503 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.503 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.503 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.503 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.503 * [taylor]: Taking taylor expansion of im in im
0.503 * [backup-simplify]: Simplify 0 into 0
0.503 * [backup-simplify]: Simplify 1 into 1
0.504 * [backup-simplify]: Simplify (* 1 1) into 1
0.504 * [backup-simplify]: Simplify (/ 1 1) into 1
0.504 * [backup-simplify]: Simplify (+ 0 1) into 1
0.505 * [backup-simplify]: Simplify (sqrt 1) into 1
0.505 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.507 * [backup-simplify]: Simplify (+ 0 0) into 0
0.507 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.507 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.507 * [taylor]: Taking taylor expansion of re in im
0.507 * [backup-simplify]: Simplify re into re
0.507 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.508 * [backup-simplify]: Simplify (+ 1 0) into 1
0.508 * [backup-simplify]: Simplify (sqrt 0) into 0
0.510 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.510 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re
0.510 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.510 * [taylor]: Taking taylor expansion of 2.0 in re
0.510 * [backup-simplify]: Simplify 2.0 into 2.0
0.510 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.511 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.511 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
0.511 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.511 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.511 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.511 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.511 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.511 * [taylor]: Taking taylor expansion of re in re
0.511 * [backup-simplify]: Simplify 0 into 0
0.511 * [backup-simplify]: Simplify 1 into 1
0.512 * [backup-simplify]: Simplify (* 1 1) into 1
0.512 * [backup-simplify]: Simplify (/ 1 1) into 1
0.512 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.512 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.512 * [taylor]: Taking taylor expansion of im in re
0.512 * [backup-simplify]: Simplify im into im
0.512 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.512 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.513 * [backup-simplify]: Simplify (+ 1 0) into 1
0.513 * [backup-simplify]: Simplify (sqrt 1) into 1
0.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.515 * [backup-simplify]: Simplify (+ 0 0) into 0
0.516 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.516 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.516 * [taylor]: Taking taylor expansion of re in re
0.516 * [backup-simplify]: Simplify 0 into 0
0.516 * [backup-simplify]: Simplify 1 into 1
0.517 * [backup-simplify]: Simplify (/ 1 1) into 1
0.517 * [backup-simplify]: Simplify (- 1) into -1
0.517 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.518 * [backup-simplify]: Simplify (- 0) into 0
0.519 * [backup-simplify]: Simplify (+ 0 0) into 0
0.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.521 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.522 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.523 * [backup-simplify]: Simplify (- 0) into 0
0.523 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.524 * [backup-simplify]: Simplify (sqrt 0) into 0
0.524 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.524 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re
0.525 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.525 * [taylor]: Taking taylor expansion of 2.0 in re
0.525 * [backup-simplify]: Simplify 2.0 into 2.0
0.525 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.526 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.526 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
0.526 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.526 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.526 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.526 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.526 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.526 * [taylor]: Taking taylor expansion of re in re
0.526 * [backup-simplify]: Simplify 0 into 0
0.526 * [backup-simplify]: Simplify 1 into 1
0.526 * [backup-simplify]: Simplify (* 1 1) into 1
0.527 * [backup-simplify]: Simplify (/ 1 1) into 1
0.527 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.527 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.527 * [taylor]: Taking taylor expansion of im in re
0.527 * [backup-simplify]: Simplify im into im
0.527 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.527 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.528 * [backup-simplify]: Simplify (+ 1 0) into 1
0.528 * [backup-simplify]: Simplify (sqrt 1) into 1
0.529 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.530 * [backup-simplify]: Simplify (+ 0 0) into 0
0.531 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.531 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.531 * [taylor]: Taking taylor expansion of re in re
0.531 * [backup-simplify]: Simplify 0 into 0
0.531 * [backup-simplify]: Simplify 1 into 1
0.531 * [backup-simplify]: Simplify (/ 1 1) into 1
0.531 * [backup-simplify]: Simplify (- 1) into -1
0.532 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.532 * [backup-simplify]: Simplify (- 0) into 0
0.533 * [backup-simplify]: Simplify (+ 0 0) into 0
0.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.534 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.534 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.535 * [backup-simplify]: Simplify (- 0) into 0
0.535 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.535 * [backup-simplify]: Simplify (sqrt 0) into 0
0.536 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.536 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.536 * [taylor]: Taking taylor expansion of 0 in im
0.536 * [backup-simplify]: Simplify 0 into 0
0.537 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
0.537 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.537 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.537 * [taylor]: Taking taylor expansion of +nan.0 in im
0.537 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.537 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.537 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.537 * [taylor]: Taking taylor expansion of 2.0 in im
0.537 * [backup-simplify]: Simplify 2.0 into 2.0
0.537 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.538 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.538 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.538 * [taylor]: Taking taylor expansion of im in im
0.538 * [backup-simplify]: Simplify 0 into 0
0.538 * [backup-simplify]: Simplify 1 into 1
0.538 * [backup-simplify]: Simplify (* 1 1) into 1
0.538 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.539 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.539 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.540 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.540 * [backup-simplify]: Simplify (- 0) into 0
0.540 * [backup-simplify]: Simplify 0 into 0
0.540 * [backup-simplify]: Simplify 0 into 0
0.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.541 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.542 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.542 * [backup-simplify]: Simplify (+ 0 0) into 0
0.542 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.543 * [backup-simplify]: Simplify (- 0) into 0
0.543 * [backup-simplify]: Simplify (+ 0 0) into 0
0.544 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
0.544 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.545 * [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))))
0.545 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
0.545 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.545 * [taylor]: Taking taylor expansion of +nan.0 in im
0.545 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.545 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.545 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.545 * [taylor]: Taking taylor expansion of 2.0 in im
0.545 * [backup-simplify]: Simplify 2.0 into 2.0
0.545 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.546 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.546 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.546 * [taylor]: Taking taylor expansion of im in im
0.546 * [backup-simplify]: Simplify 0 into 0
0.546 * [backup-simplify]: Simplify 1 into 1
0.546 * [backup-simplify]: Simplify (* 1 1) into 1
0.546 * [backup-simplify]: Simplify (* 1 1) into 1
0.547 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.547 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.548 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.549 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.551 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.552 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.553 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.554 * [backup-simplify]: Simplify (- 0) into 0
0.554 * [backup-simplify]: Simplify 0 into 0
0.554 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.555 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.556 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.556 * [backup-simplify]: Simplify (- 0) into 0
0.556 * [backup-simplify]: Simplify 0 into 0
0.556 * [backup-simplify]: Simplify 0 into 0
0.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.558 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.558 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.558 * [backup-simplify]: Simplify (+ 0 0) into 0
0.559 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
0.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.560 * [backup-simplify]: Simplify (- 0) into 0
0.560 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
0.560 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))))
0.561 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.562 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))))) (+ (* 0 (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))))
0.562 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
0.562 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
0.562 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.562 * [taylor]: Taking taylor expansion of +nan.0 in im
0.562 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.562 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.562 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.562 * [taylor]: Taking taylor expansion of 2.0 in im
0.562 * [backup-simplify]: Simplify 2.0 into 2.0
0.562 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.563 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.563 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.563 * [taylor]: Taking taylor expansion of im in im
0.563 * [backup-simplify]: Simplify 0 into 0
0.563 * [backup-simplify]: Simplify 1 into 1
0.563 * [backup-simplify]: Simplify (* 1 1) into 1
0.563 * [backup-simplify]: Simplify (* 1 1) into 1
0.564 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.564 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
0.564 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
0.564 * [taylor]: Taking taylor expansion of +nan.0 in im
0.564 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.564 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
0.564 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.564 * [taylor]: Taking taylor expansion of 2.0 in im
0.564 * [backup-simplify]: Simplify 2.0 into 2.0
0.564 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.564 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.564 * [taylor]: Taking taylor expansion of (pow im 6) in im
0.564 * [taylor]: Taking taylor expansion of im in im
0.565 * [backup-simplify]: Simplify 0 into 0
0.565 * [backup-simplify]: Simplify 1 into 1
0.565 * [backup-simplify]: Simplify (* 1 1) into 1
0.565 * [backup-simplify]: Simplify (* 1 1) into 1
0.565 * [backup-simplify]: Simplify (* 1 1) into 1
0.566 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.566 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.567 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.569 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.570 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.571 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.573 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.573 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.574 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.575 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.576 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.578 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.580 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.582 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.585 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.586 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.588 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.590 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
0.590 * [backup-simplify]: Simplify (- 0) into 0
0.591 * [backup-simplify]: Simplify (+ 0 0) into 0
0.591 * [backup-simplify]: Simplify (- 0) into 0
0.591 * [backup-simplify]: Simplify 0 into 0
0.591 * [backup-simplify]: Simplify 0 into 0
0.591 * * * [progress]: simplifying candidates
0.591 * * * * [progress]: [ 1 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (+ (* re re) (* im im)) 1/2) re)))))>
0.591 * * * * [progress]: [ 2 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 1) re)))))>
0.591 * * * * [progress]: [ 3 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)))))>
0.591 * * * * [progress]: [ 4 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (log (exp (sqrt (+ (* re re) (* im im))))) re)))))>
0.591 * * * * [progress]: [ 5 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
0.591 * * * * [progress]: [ 6 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (cbrt (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))) re)))))>
0.591 * * * * [progress]: [ 7 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im))))) re)))))>
0.591 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
0.592 * * [simplify]: iters left: 6 (8 enodes)
0.593 * * [simplify]: iters left: 5 (26 enodes)
0.597 * * [simplify]: Extracting #0: cost 1 inf + 0
0.597 * * [simplify]: Extracting #1: cost 4 inf + 0
0.597 * * [simplify]: Extracting #2: cost 7 inf + 0
0.597 * * [simplify]: Extracting #3: cost 10 inf + 0
0.597 * * [simplify]: Extracting #4: cost 14 inf + 0
0.597 * * [simplify]: Extracting #5: cost 10 inf + 84
0.597 * * [simplify]: Extracting #6: cost 8 inf + 166
0.597 * * [simplify]: Extracting #7: cost 4 inf + 854
0.597 * * [simplify]: Extracting #8: cost 1 inf + 1540
0.597 * * [simplify]: Extracting #9: cost 0 inf + 1782
0.598 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im))))
0.598 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))) re)))))
0.598 * * * * [progress]: [ 8 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
0.598 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im))))
0.598 * * [simplify]: iters left: 6 (7 enodes)
0.600 * * [simplify]: iters left: 5 (22 enodes)
0.603 * * [simplify]: Extracting #0: cost 1 inf + 0
0.603 * * [simplify]: Extracting #1: cost 3 inf + 0
0.603 * * [simplify]: Extracting #2: cost 5 inf + 0
0.603 * * [simplify]: Extracting #3: cost 8 inf + 0
0.603 * * [simplify]: Extracting #4: cost 12 inf + 0
0.603 * * [simplify]: Extracting #5: cost 10 inf + 2
0.603 * * [simplify]: Extracting #6: cost 1 inf + 936
0.603 * * [simplify]: Extracting #7: cost 0 inf + 1138
0.603 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im))))
0.603 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))
0.604 * * * * [progress]: [ 9 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt 1) (sqrt (+ (* re re) (* im im)))) re)))))>
0.604 * [simplify]: Simplifying (sqrt 1)
0.604 * * [simplify]: iters left: 1 (2 enodes)
0.606 * * [simplify]: Extracting #0: cost 1 inf + 0
0.606 * * [simplify]: Extracting #1: cost 0 inf + 1
0.606 * [simplify]: Simplified to 1
0.606 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* 1 (sqrt (+ (* re re) (* im im)))) re)))))
0.606 * * * * [progress]: [ 10 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) re)))))>
0.606 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
0.606 * * [simplify]: iters left: 6 (9 enodes)
0.609 * * [simplify]: iters left: 5 (45 enodes)
0.620 * * [simplify]: iters left: 4 (100 enodes)
0.644 * * [simplify]: iters left: 3 (201 enodes)
0.725 * * [simplify]: iters left: 2 (406 enodes)
0.859 * * [simplify]: Extracting #0: cost 1 inf + 0
0.859 * * [simplify]: Extracting #1: cost 3 inf + 0
0.859 * * [simplify]: Extracting #2: cost 6 inf + 0
0.859 * * [simplify]: Extracting #3: cost 62 inf + 0
0.860 * * [simplify]: Extracting #4: cost 166 inf + 460
0.863 * * [simplify]: Extracting #5: cost 131 inf + 12951
0.870 * * [simplify]: Extracting #6: cost 49 inf + 45746
0.886 * * [simplify]: Extracting #7: cost 1 inf + 66256
0.893 * * [simplify]: Extracting #8: cost 0 inf + 65919
0.898 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im)))))
0.899 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) re)))))
0.899 * * * * [progress]: [ 11 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))) re)))))>
0.899 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
0.899 * * [simplify]: iters left: 6 (8 enodes)
0.901 * * [simplify]: iters left: 5 (37 enodes)
0.908 * * [simplify]: iters left: 4 (67 enodes)
0.919 * * [simplify]: iters left: 3 (123 enodes)
0.964 * * [simplify]: iters left: 2 (278 enodes)
1.092 * * [simplify]: Extracting #0: cost 1 inf + 0
1.092 * * [simplify]: Extracting #1: cost 3 inf + 0
1.092 * * [simplify]: Extracting #2: cost 50 inf + 0
1.092 * * [simplify]: Extracting #3: cost 150 inf + 0
1.093 * * [simplify]: Extracting #4: cost 194 inf + 1180
1.095 * * [simplify]: Extracting #5: cost 123 inf + 12421
1.103 * * [simplify]: Extracting #6: cost 12 inf + 33804
1.118 * * [simplify]: Extracting #7: cost 0 inf + 36129
1.133 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
1.133 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))) re)))))
1.133 * * * * [progress]: [ 12 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (+ (* re re) (* im im)) (/ 1 2)) re)))))>
1.133 * [simplify]: Simplifying (+ (* re re) (* im im))
1.134 * * [simplify]: iters left: 4 (5 enodes)
1.136 * * [simplify]: iters left: 3 (16 enodes)
1.140 * * [simplify]: Extracting #0: cost 1 inf + 0
1.140 * * [simplify]: Extracting #1: cost 4 inf + 0
1.140 * * [simplify]: Extracting #2: cost 8 inf + 0
1.140 * * [simplify]: Extracting #3: cost 4 inf + 84
1.141 * * [simplify]: Extracting #4: cost 0 inf + 410
1.141 * [simplify]: Simplified to (+ (* re re) (* im im))
1.141 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (+ (* re re) (* im im)) (/ 1 2)) re)))))
1.141 * * * * [progress]: [ 13 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
1.141 * * * * [progress]: [ 14 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (fabs (sqrt (+ (* re re) (* im im)))) re)))))>
1.141 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im)))
1.141 * * [simplify]: iters left: 5 (6 enodes)
1.144 * * [simplify]: iters left: 4 (19 enodes)
1.149 * * [simplify]: Extracting #0: cost 1 inf + 0
1.149 * * [simplify]: Extracting #1: cost 3 inf + 0
1.149 * * [simplify]: Extracting #2: cost 6 inf + 0
1.149 * * [simplify]: Extracting #3: cost 10 inf + 0
1.149 * * [simplify]: Extracting #4: cost 6 inf + 84
1.150 * * [simplify]: Extracting #5: cost 0 inf + 734
1.150 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im)))
1.150 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (fabs (sqrt (+ (* re re) (* im im)))) re)))))
1.150 * * * * [progress]: [ 15 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* 1 (sqrt (+ (* re re) (* im im)))) re)))))>
1.150 * * * * [progress]: [ 16 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (posit16->real (real->posit16 (sqrt (+ (* re re) (* im im))))) re)))))>
1.150 * * * * [progress]: [ 17 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (log (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)))))))>
1.151 * [simplify]: Simplifying (* (exp (sqrt (+ (* re re) (* im im)))) (exp re))
1.151 * * [simplify]: iters left: 6 (9 enodes)
1.154 * * [simplify]: iters left: 5 (31 enodes)
1.162 * * [simplify]: iters left: 4 (35 enodes)
1.171 * * [simplify]: Extracting #0: cost 1 inf + 0
1.171 * * [simplify]: Extracting #1: cost 5 inf + 0
1.171 * * [simplify]: Extracting #2: cost 10 inf + 0
1.171 * * [simplify]: Extracting #3: cost 11 inf + 1
1.172 * * [simplify]: Extracting #4: cost 12 inf + 143
1.172 * * [simplify]: Extracting #5: cost 14 inf + 184
1.172 * * [simplify]: Extracting #6: cost 10 inf + 308
1.172 * * [simplify]: Extracting #7: cost 7 inf + 794
1.173 * * [simplify]: Extracting #8: cost 1 inf + 2056
1.173 * * [simplify]: Extracting #9: cost 0 inf + 2288
1.174 * [simplify]: Simplified to (exp (+ (sqrt (+ (* re re) (* im im))) re))
1.174 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (log (exp (+ (sqrt (+ (* re re) (* im im))) re)))))))
1.174 * * * * [progress]: [ 18 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (pow (+ (sqrt (+ (* re re) (* im im))) re) 1)))))>
1.174 * * * * [progress]: [ 19 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (+ (sqrt (+ (* re re) (* im im))) re)))))))>
1.174 * * * * [progress]: [ 20 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (log (exp (+ (sqrt (+ (* re re) (* im im))) re)))))))>
1.175 * * * * [progress]: [ 21 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
1.175 * * * * [progress]: [ 22 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (cbrt (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)))))))>
1.175 * * * * [progress]: [ 23 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
1.175 * * * * [progress]: [ 24 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))))))))>
1.175 * * * * [progress]: [ 25 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (+ (sqrt (+ (* re re) (* im im))) re))))))>
1.175 * * * * [progress]: [ 26 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re))))))>
1.175 * * * * [progress]: [ 27 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (+ (sqrt (+ (* re re) (* im im))) re))))))>
1.175 * [simplify]: Simplifying (+ (sqrt (+ (* re re) (* im im))) re)
1.175 * * [simplify]: iters left: 6 (7 enodes)
1.178 * * [simplify]: iters left: 5 (23 enodes)
1.185 * * [simplify]: Extracting #0: cost 1 inf + 0
1.185 * * [simplify]: Extracting #1: cost 4 inf + 0
1.185 * * [simplify]: Extracting #2: cost 5 inf + 1
1.185 * * [simplify]: Extracting #3: cost 8 inf + 1
1.185 * * [simplify]: Extracting #4: cost 10 inf + 42
1.185 * * [simplify]: Extracting #5: cost 8 inf + 84
1.185 * * [simplify]: Extracting #6: cost 1 inf + 936
1.185 * * [simplify]: Extracting #7: cost 0 inf + 1138
1.186 * [simplify]: Simplified to (+ (sqrt (+ (* re re) (* im im))) re)
1.186 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (+ (sqrt (+ (* re re) (* im im))) re))))))
1.186 * * * * [progress]: [ 28 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (posit16->real (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)))))))>
1.186 * * * * [progress]: [ 29 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re (sqrt (+ (* re re) (* im im))))))))>
1.186 * * * * [progress]: [ 30 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) 1/2)))>
1.186 * * * * [progress]: [ 31 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 1)))>
1.186 * * * * [progress]: [ 32 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))>
1.186 * * * * [progress]: [ 33 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (log (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))>
1.186 * * * * [progress]: [ 34 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))>
1.186 * * * * [progress]: [ 35 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (cbrt (* (* (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))>
1.186 * * * * [progress]: [ 36 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))>
1.187 * [simplify]: Simplifying (sqrt 2.0)
1.187 * * [simplify]: iters left: 1 (2 enodes)
1.188 * * [simplify]: Extracting #0: cost 1 inf + 0
1.188 * * [simplify]: Extracting #1: cost 3 inf + 0
1.188 * * [simplify]: Extracting #2: cost 2 inf + 1
1.188 * * [simplify]: Extracting #3: cost 0 inf + 83
1.188 * [simplify]: Simplified to (sqrt 2.0)
1.188 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))
1.188 * * * * [progress]: [ 37 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))))))>
1.188 * [simplify]: Simplifying (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))
1.188 * * [simplify]: iters left: 6 (13 enodes)
1.192 * * [simplify]: iters left: 5 (60 enodes)
1.205 * * [simplify]: iters left: 4 (109 enodes)
1.226 * * [simplify]: iters left: 3 (209 enodes)
1.284 * * [simplify]: iters left: 2 (444 enodes)
1.458 * * [simplify]: Extracting #0: cost 1 inf + 0
1.458 * * [simplify]: Extracting #1: cost 3 inf + 0
1.458 * * [simplify]: Extracting #2: cost 14 inf + 0
1.458 * * [simplify]: Extracting #3: cost 101 inf + 1
1.459 * * [simplify]: Extracting #4: cost 193 inf + 736
1.461 * * [simplify]: Extracting #5: cost 133 inf + 14308
1.473 * * [simplify]: Extracting #6: cost 18 inf + 66689
1.490 * * [simplify]: Extracting #7: cost 0 inf + 74616
1.502 * * [simplify]: Extracting #8: cost 0 inf + 74234
1.514 * [simplify]: Simplified to (sqrt (* 2.0 (+ (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) (* (* re re) re))))
1.514 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) (* (* re re) re)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))))))
1.514 * * * * [progress]: [ 38 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))>
1.514 * [simplify]: Simplifying (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))))
1.514 * * [simplify]: iters left: 6 (11 enodes)
1.517 * * [simplify]: iters left: 5 (38 enodes)
1.524 * * [simplify]: iters left: 4 (70 enodes)
1.544 * * [simplify]: iters left: 3 (163 enodes)
1.597 * * [simplify]: iters left: 2 (400 enodes)
1.865 * * [simplify]: Extracting #0: cost 1 inf + 0
1.865 * * [simplify]: Extracting #1: cost 3 inf + 0
1.865 * * [simplify]: Extracting #2: cost 60 inf + 0
1.866 * * [simplify]: Extracting #3: cost 168 inf + 44
1.867 * * [simplify]: Extracting #4: cost 209 inf + 1112
1.870 * * [simplify]: Extracting #5: cost 129 inf + 16179
1.891 * * [simplify]: Extracting #6: cost 16 inf + 47708
1.921 * * [simplify]: Extracting #7: cost 0 inf + 52863
1.939 * [simplify]: Simplified to (sqrt (* 2.0 (* im im)))
1.939 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))
1.940 * * * * [progress]: [ 39 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 2))))>
1.940 * [simplify]: Simplifying (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))
1.940 * * [simplify]: iters left: 6 (9 enodes)
1.943 * * [simplify]: iters left: 5 (36 enodes)
1.948 * * [simplify]: iters left: 4 (46 enodes)
1.954 * * [simplify]: Extracting #0: cost 1 inf + 0
1.954 * * [simplify]: Extracting #1: cost 6 inf + 0
1.954 * * [simplify]: Extracting #2: cost 10 inf + 1
1.954 * * [simplify]: Extracting #3: cost 10 inf + 44
1.954 * * [simplify]: Extracting #4: cost 12 inf + 86
1.955 * * [simplify]: Extracting #5: cost 14 inf + 127
1.955 * * [simplify]: Extracting #6: cost 12 inf + 169
1.955 * * [simplify]: Extracting #7: cost 8 inf + 495
1.955 * * [simplify]: Extracting #8: cost 3 inf + 1467
1.955 * * [simplify]: Extracting #9: cost 0 inf + 2115
1.956 * [simplify]: Simplified to (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)
1.956 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) (/ 1 2))))
1.956 * * * * [progress]: [ 40 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 2))))>
1.956 * [simplify]: Simplifying (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))
1.956 * * [simplify]: iters left: 6 (9 enodes)
1.959 * * [simplify]: iters left: 5 (36 enodes)
1.969 * * [simplify]: iters left: 4 (46 enodes)
1.980 * * [simplify]: Extracting #0: cost 1 inf + 0
1.980 * * [simplify]: Extracting #1: cost 6 inf + 0
1.980 * * [simplify]: Extracting #2: cost 10 inf + 1
1.980 * * [simplify]: Extracting #3: cost 10 inf + 44
1.980 * * [simplify]: Extracting #4: cost 12 inf + 86
1.980 * * [simplify]: Extracting #5: cost 14 inf + 127
1.980 * * [simplify]: Extracting #6: cost 12 inf + 169
1.981 * * [simplify]: Extracting #7: cost 8 inf + 495
1.981 * * [simplify]: Extracting #8: cost 3 inf + 1467
1.982 * * [simplify]: Extracting #9: cost 0 inf + 2115
1.983 * [simplify]: Simplified to (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0)
1.983 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) (/ 1 2))))
1.983 * * * * [progress]: [ 41 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))>
1.983 * * * * [progress]: [ 42 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* 1 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))>
1.983 * * * * [progress]: [ 43 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (posit16->real (real->posit16 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))>
1.983 * * * * [progress]: [ 44 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))>
1.983 * [simplify]: Simplifying im
1.983 * * [simplify]: iters left: 0 (1 enodes)
1.984 * * [simplify]: Extracting #0: cost 1 inf + 0
1.984 * * [simplify]: Extracting #1: cost 0 inf + 1
1.984 * [simplify]: Simplified to im
1.984 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))
1.984 * * * * [progress]: [ 45 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))>
1.984 * [simplify]: Simplifying re
1.984 * * [simplify]: iters left: 0 (1 enodes)
1.985 * * [simplify]: Extracting #0: cost 1 inf + 0
1.985 * * [simplify]: Extracting #1: cost 0 inf + 1
1.985 * [simplify]: Simplified to re
1.985 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))
1.985 * * * * [progress]: [ 46 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* -1 re) re)))))>
1.985 * [simplify]: Simplifying (* -1 re)
1.985 * * [simplify]: iters left: 2 (3 enodes)
1.987 * * [simplify]: iters left: 1 (11 enodes)
1.991 * * [simplify]: Extracting #0: cost 1 inf + 0
1.991 * * [simplify]: Extracting #1: cost 4 inf + 0
1.991 * * [simplify]: Extracting #2: cost 0 inf + 84
1.991 * [simplify]: Simplified to (- re)
1.991 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (- re) re)))))
1.991 * * * * [progress]: [ 47 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))>
1.991 * [simplify]: Simplifying (+ re im)
1.991 * * [simplify]: iters left: 2 (3 enodes)
1.993 * * [simplify]: iters left: 1 (10 enodes)
1.995 * * [simplify]: Extracting #0: cost 1 inf + 0
1.995 * * [simplify]: Extracting #1: cost 4 inf + 0
1.995 * * [simplify]: Extracting #2: cost 2 inf + 2
1.995 * * [simplify]: Extracting #3: cost 0 inf + 86
1.995 * [simplify]: Simplified to (+ im re)
1.995 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))
1.995 * * * * [progress]: [ 48 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re)))))>
1.996 * [simplify]: Simplifying (* 2 re)
1.996 * * [simplify]: iters left: 2 (3 enodes)
1.998 * * [simplify]: iters left: 1 (10 enodes)
2.001 * * [simplify]: Extracting #0: cost 1 inf + 0
2.001 * * [simplify]: Extracting #1: cost 4 inf + 0
2.001 * * [simplify]: Extracting #2: cost 2 inf + 2
2.001 * * [simplify]: Extracting #3: cost 0 inf + 86
2.001 * [simplify]: Simplified to (* 2 re)
2.001 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re)))))
2.001 * * * * [progress]: [ 49 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))>
2.002 * [simplify]: Simplifying 0
2.002 * * [simplify]: iters left: 0 (1 enodes)
2.003 * * [simplify]: Extracting #0: cost 1 inf + 0
2.003 * * [simplify]: Extracting #1: cost 0 inf + 1
2.003 * [simplify]: Simplified to 0
2.003 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 0))))
2.003 * * * * [progress]: [ 50 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re)))))))))>
2.003 * [simplify]: Simplifying (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re)))))))
2.003 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0))
2.003 * * * * [progress]: [ 51 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))))>
2.004 * [simplify]: Simplifying (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
2.004 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0))
2.004 * * * * [progress]: [ 52 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 0))>
2.004 * [simplify]: Simplifying 0
2.004 * * [simplify]: iters left: 0 (1 enodes)
2.005 * * [simplify]: Extracting #0: cost 1 inf + 0
2.005 * * [simplify]: Extracting #1: cost 0 inf + 1
2.005 * [simplify]: Simplified to 0
2.005 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 0))
2.005 * * * [progress]: adding candidates to table
2.520 * * [progress]: iteration 2 / 4
2.520 * * * [progress]: picking best candidate
2.540 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
2.540 * * * [progress]: localizing error
2.592 * * * [progress]: generating rewritten candidates
2.592 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1)
2.604 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 2 1)
2.614 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1 1)
2.619 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2)
2.690 * * * [progress]: generating series expansions
2.690 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1)
2.690 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
2.690 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
2.690 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
2.690 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
2.690 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.690 * [taylor]: Taking taylor expansion of im in im
2.690 * [backup-simplify]: Simplify 0 into 0
2.690 * [backup-simplify]: Simplify 1 into 1
2.690 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.690 * [taylor]: Taking taylor expansion of re in im
2.690 * [backup-simplify]: Simplify re into re
2.690 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.690 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
2.690 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.691 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.691 * [backup-simplify]: Simplify (+ 0 0) into 0
2.691 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.691 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.691 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.691 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.692 * [taylor]: Taking taylor expansion of im in re
2.692 * [backup-simplify]: Simplify im into im
2.692 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.692 * [taylor]: Taking taylor expansion of re in re
2.692 * [backup-simplify]: Simplify 0 into 0
2.692 * [backup-simplify]: Simplify 1 into 1
2.692 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.692 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.692 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.692 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.692 * [backup-simplify]: Simplify (+ 0 0) into 0
2.692 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.693 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.693 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.693 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.693 * [taylor]: Taking taylor expansion of im in re
2.693 * [backup-simplify]: Simplify im into im
2.693 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.693 * [taylor]: Taking taylor expansion of re in re
2.693 * [backup-simplify]: Simplify 0 into 0
2.693 * [backup-simplify]: Simplify 1 into 1
2.693 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.693 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.693 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.693 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.693 * [backup-simplify]: Simplify (+ 0 0) into 0
2.694 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.694 * [taylor]: Taking taylor expansion of im in im
2.694 * [backup-simplify]: Simplify 0 into 0
2.694 * [backup-simplify]: Simplify 1 into 1
2.694 * [backup-simplify]: Simplify 0 into 0
2.694 * [taylor]: Taking taylor expansion of 0 in im
2.694 * [backup-simplify]: Simplify 0 into 0
2.694 * [backup-simplify]: Simplify 0 into 0
2.694 * [backup-simplify]: Simplify 1 into 1
2.694 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.695 * [backup-simplify]: Simplify (* 1 1) into 1
2.695 * [backup-simplify]: Simplify (+ 0 1) into 1
2.696 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.696 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
2.696 * [taylor]: Taking taylor expansion of 1/2 in im
2.696 * [backup-simplify]: Simplify 1/2 into 1/2
2.696 * [taylor]: Taking taylor expansion of im in im
2.696 * [backup-simplify]: Simplify 0 into 0
2.696 * [backup-simplify]: Simplify 1 into 1
2.697 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.698 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.698 * [backup-simplify]: Simplify 0 into 0
2.698 * [backup-simplify]: Simplify 0 into 0
2.698 * [backup-simplify]: Simplify 0 into 0
2.699 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.699 * [backup-simplify]: Simplify (+ 0 0) into 0
2.700 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.700 * [taylor]: Taking taylor expansion of 0 in im
2.700 * [backup-simplify]: Simplify 0 into 0
2.700 * [backup-simplify]: Simplify 0 into 0
2.700 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.700 * [backup-simplify]: Simplify 0 into 0
2.700 * [backup-simplify]: Simplify 0 into 0
2.700 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
2.700 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
2.700 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
2.700 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.701 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.701 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.701 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.701 * [taylor]: Taking taylor expansion of re in im
2.701 * [backup-simplify]: Simplify re into re
2.701 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.701 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.701 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.701 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.701 * [taylor]: Taking taylor expansion of im in im
2.701 * [backup-simplify]: Simplify 0 into 0
2.701 * [backup-simplify]: Simplify 1 into 1
2.701 * [backup-simplify]: Simplify (* 1 1) into 1
2.701 * [backup-simplify]: Simplify (/ 1 1) into 1
2.701 * [backup-simplify]: Simplify (+ 0 1) into 1
2.702 * [backup-simplify]: Simplify (sqrt 1) into 1
2.702 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.703 * [backup-simplify]: Simplify (+ 0 0) into 0
2.703 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.703 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.703 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.703 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.703 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.703 * [taylor]: Taking taylor expansion of re in re
2.703 * [backup-simplify]: Simplify 0 into 0
2.703 * [backup-simplify]: Simplify 1 into 1
2.704 * [backup-simplify]: Simplify (* 1 1) into 1
2.704 * [backup-simplify]: Simplify (/ 1 1) into 1
2.704 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.704 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.704 * [taylor]: Taking taylor expansion of im in re
2.704 * [backup-simplify]: Simplify im into im
2.704 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.704 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.704 * [backup-simplify]: Simplify (+ 1 0) into 1
2.704 * [backup-simplify]: Simplify (sqrt 1) into 1
2.705 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.706 * [backup-simplify]: Simplify (+ 0 0) into 0
2.706 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.706 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.706 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.706 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.706 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.706 * [taylor]: Taking taylor expansion of re in re
2.706 * [backup-simplify]: Simplify 0 into 0
2.706 * [backup-simplify]: Simplify 1 into 1
2.707 * [backup-simplify]: Simplify (* 1 1) into 1
2.707 * [backup-simplify]: Simplify (/ 1 1) into 1
2.707 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.707 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.707 * [taylor]: Taking taylor expansion of im in re
2.707 * [backup-simplify]: Simplify im into im
2.707 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.707 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.707 * [backup-simplify]: Simplify (+ 1 0) into 1
2.707 * [backup-simplify]: Simplify (sqrt 1) into 1
2.708 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.709 * [backup-simplify]: Simplify (+ 0 0) into 0
2.709 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.709 * [taylor]: Taking taylor expansion of 1 in im
2.709 * [backup-simplify]: Simplify 1 into 1
2.709 * [taylor]: Taking taylor expansion of 0 in im
2.709 * [backup-simplify]: Simplify 0 into 0
2.709 * [backup-simplify]: Simplify 1 into 1
2.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.710 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.711 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.711 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.711 * [taylor]: Taking taylor expansion of 1/2 in im
2.711 * [backup-simplify]: Simplify 1/2 into 1/2
2.711 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.711 * [taylor]: Taking taylor expansion of im in im
2.711 * [backup-simplify]: Simplify 0 into 0
2.711 * [backup-simplify]: Simplify 1 into 1
2.712 * [backup-simplify]: Simplify (* 1 1) into 1
2.712 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.712 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.713 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.713 * [backup-simplify]: Simplify 0 into 0
2.713 * [backup-simplify]: Simplify 0 into 0
2.713 * [backup-simplify]: Simplify 0 into 0
2.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.714 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.714 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.716 * [backup-simplify]: Simplify (+ 0 0) into 0
2.717 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.717 * [taylor]: Taking taylor expansion of 0 in im
2.717 * [backup-simplify]: Simplify 0 into 0
2.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.718 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.718 * [backup-simplify]: Simplify 0 into 0
2.718 * [backup-simplify]: Simplify 0 into 0
2.718 * [backup-simplify]: Simplify 0 into 0
2.718 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
2.718 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
2.718 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
2.718 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.718 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.718 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.718 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.718 * [taylor]: Taking taylor expansion of re in im
2.718 * [backup-simplify]: Simplify re into re
2.718 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.718 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.718 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.718 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.718 * [taylor]: Taking taylor expansion of im in im
2.718 * [backup-simplify]: Simplify 0 into 0
2.718 * [backup-simplify]: Simplify 1 into 1
2.719 * [backup-simplify]: Simplify (* 1 1) into 1
2.719 * [backup-simplify]: Simplify (/ 1 1) into 1
2.719 * [backup-simplify]: Simplify (+ 0 1) into 1
2.719 * [backup-simplify]: Simplify (sqrt 1) into 1
2.720 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.720 * [backup-simplify]: Simplify (+ 0 0) into 0
2.721 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.721 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.721 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.721 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.721 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.721 * [taylor]: Taking taylor expansion of re in re
2.721 * [backup-simplify]: Simplify 0 into 0
2.721 * [backup-simplify]: Simplify 1 into 1
2.721 * [backup-simplify]: Simplify (* 1 1) into 1
2.721 * [backup-simplify]: Simplify (/ 1 1) into 1
2.721 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.721 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.721 * [taylor]: Taking taylor expansion of im in re
2.721 * [backup-simplify]: Simplify im into im
2.722 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.722 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.722 * [backup-simplify]: Simplify (+ 1 0) into 1
2.722 * [backup-simplify]: Simplify (sqrt 1) into 1
2.722 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.723 * [backup-simplify]: Simplify (+ 0 0) into 0
2.724 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.724 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.724 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.724 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.724 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.724 * [taylor]: Taking taylor expansion of re in re
2.724 * [backup-simplify]: Simplify 0 into 0
2.724 * [backup-simplify]: Simplify 1 into 1
2.724 * [backup-simplify]: Simplify (* 1 1) into 1
2.724 * [backup-simplify]: Simplify (/ 1 1) into 1
2.724 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.724 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.724 * [taylor]: Taking taylor expansion of im in re
2.724 * [backup-simplify]: Simplify im into im
2.724 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.724 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.725 * [backup-simplify]: Simplify (+ 1 0) into 1
2.725 * [backup-simplify]: Simplify (sqrt 1) into 1
2.725 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.726 * [backup-simplify]: Simplify (+ 0 0) into 0
2.726 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.726 * [taylor]: Taking taylor expansion of 1 in im
2.726 * [backup-simplify]: Simplify 1 into 1
2.726 * [taylor]: Taking taylor expansion of 0 in im
2.726 * [backup-simplify]: Simplify 0 into 0
2.726 * [backup-simplify]: Simplify 1 into 1
2.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.728 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.729 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.729 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.729 * [taylor]: Taking taylor expansion of 1/2 in im
2.729 * [backup-simplify]: Simplify 1/2 into 1/2
2.729 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.729 * [taylor]: Taking taylor expansion of im in im
2.729 * [backup-simplify]: Simplify 0 into 0
2.729 * [backup-simplify]: Simplify 1 into 1
2.730 * [backup-simplify]: Simplify (* 1 1) into 1
2.730 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.731 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.732 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.732 * [backup-simplify]: Simplify 0 into 0
2.732 * [backup-simplify]: Simplify 0 into 0
2.732 * [backup-simplify]: Simplify 0 into 0
2.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.734 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.734 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.735 * [backup-simplify]: Simplify (+ 0 0) into 0
2.735 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.735 * [taylor]: Taking taylor expansion of 0 in im
2.735 * [backup-simplify]: Simplify 0 into 0
2.736 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.737 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.737 * [backup-simplify]: Simplify 0 into 0
2.737 * [backup-simplify]: Simplify 0 into 0
2.737 * [backup-simplify]: Simplify 0 into 0
2.738 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
2.738 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 2 1)
2.738 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
2.738 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
2.738 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
2.738 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
2.738 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.738 * [taylor]: Taking taylor expansion of im in im
2.738 * [backup-simplify]: Simplify 0 into 0
2.738 * [backup-simplify]: Simplify 1 into 1
2.738 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.738 * [taylor]: Taking taylor expansion of re in im
2.738 * [backup-simplify]: Simplify re into re
2.738 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.738 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
2.738 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.738 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.739 * [backup-simplify]: Simplify (+ 0 0) into 0
2.739 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.739 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.739 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.739 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.739 * [taylor]: Taking taylor expansion of im in re
2.739 * [backup-simplify]: Simplify im into im
2.739 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.739 * [taylor]: Taking taylor expansion of re in re
2.739 * [backup-simplify]: Simplify 0 into 0
2.739 * [backup-simplify]: Simplify 1 into 1
2.739 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.739 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.739 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.739 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.740 * [backup-simplify]: Simplify (+ 0 0) into 0
2.740 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.740 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.740 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.740 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.740 * [taylor]: Taking taylor expansion of im in re
2.740 * [backup-simplify]: Simplify im into im
2.740 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.740 * [taylor]: Taking taylor expansion of re in re
2.740 * [backup-simplify]: Simplify 0 into 0
2.740 * [backup-simplify]: Simplify 1 into 1
2.740 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.740 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.740 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.740 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.741 * [backup-simplify]: Simplify (+ 0 0) into 0
2.741 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.741 * [taylor]: Taking taylor expansion of im in im
2.741 * [backup-simplify]: Simplify 0 into 0
2.741 * [backup-simplify]: Simplify 1 into 1
2.741 * [backup-simplify]: Simplify 0 into 0
2.741 * [taylor]: Taking taylor expansion of 0 in im
2.741 * [backup-simplify]: Simplify 0 into 0
2.741 * [backup-simplify]: Simplify 0 into 0
2.741 * [backup-simplify]: Simplify 1 into 1
2.742 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.742 * [backup-simplify]: Simplify (* 1 1) into 1
2.742 * [backup-simplify]: Simplify (+ 0 1) into 1
2.743 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.743 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
2.743 * [taylor]: Taking taylor expansion of 1/2 in im
2.743 * [backup-simplify]: Simplify 1/2 into 1/2
2.743 * [taylor]: Taking taylor expansion of im in im
2.743 * [backup-simplify]: Simplify 0 into 0
2.743 * [backup-simplify]: Simplify 1 into 1
2.744 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.745 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.745 * [backup-simplify]: Simplify 0 into 0
2.745 * [backup-simplify]: Simplify 0 into 0
2.745 * [backup-simplify]: Simplify 0 into 0
2.746 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.746 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.747 * [backup-simplify]: Simplify (+ 0 0) into 0
2.747 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.747 * [taylor]: Taking taylor expansion of 0 in im
2.747 * [backup-simplify]: Simplify 0 into 0
2.747 * [backup-simplify]: Simplify 0 into 0
2.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.748 * [backup-simplify]: Simplify 0 into 0
2.748 * [backup-simplify]: Simplify 0 into 0
2.748 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
2.748 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
2.748 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
2.748 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.748 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.748 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.748 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.748 * [taylor]: Taking taylor expansion of re in im
2.748 * [backup-simplify]: Simplify re into re
2.748 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.748 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.748 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.748 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.748 * [taylor]: Taking taylor expansion of im in im
2.748 * [backup-simplify]: Simplify 0 into 0
2.748 * [backup-simplify]: Simplify 1 into 1
2.748 * [backup-simplify]: Simplify (* 1 1) into 1
2.749 * [backup-simplify]: Simplify (/ 1 1) into 1
2.749 * [backup-simplify]: Simplify (+ 0 1) into 1
2.749 * [backup-simplify]: Simplify (sqrt 1) into 1
2.749 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.750 * [backup-simplify]: Simplify (+ 0 0) into 0
2.751 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.751 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.751 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.751 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.751 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.751 * [taylor]: Taking taylor expansion of re in re
2.751 * [backup-simplify]: Simplify 0 into 0
2.751 * [backup-simplify]: Simplify 1 into 1
2.751 * [backup-simplify]: Simplify (* 1 1) into 1
2.751 * [backup-simplify]: Simplify (/ 1 1) into 1
2.751 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.751 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.751 * [taylor]: Taking taylor expansion of im in re
2.751 * [backup-simplify]: Simplify im into im
2.751 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.751 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.752 * [backup-simplify]: Simplify (+ 1 0) into 1
2.752 * [backup-simplify]: Simplify (sqrt 1) into 1
2.752 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.753 * [backup-simplify]: Simplify (+ 0 0) into 0
2.753 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.753 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.753 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.753 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.753 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.753 * [taylor]: Taking taylor expansion of re in re
2.753 * [backup-simplify]: Simplify 0 into 0
2.753 * [backup-simplify]: Simplify 1 into 1
2.754 * [backup-simplify]: Simplify (* 1 1) into 1
2.754 * [backup-simplify]: Simplify (/ 1 1) into 1
2.754 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.754 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.754 * [taylor]: Taking taylor expansion of im in re
2.754 * [backup-simplify]: Simplify im into im
2.754 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.754 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.754 * [backup-simplify]: Simplify (+ 1 0) into 1
2.755 * [backup-simplify]: Simplify (sqrt 1) into 1
2.755 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.756 * [backup-simplify]: Simplify (+ 0 0) into 0
2.756 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.756 * [taylor]: Taking taylor expansion of 1 in im
2.756 * [backup-simplify]: Simplify 1 into 1
2.756 * [taylor]: Taking taylor expansion of 0 in im
2.756 * [backup-simplify]: Simplify 0 into 0
2.756 * [backup-simplify]: Simplify 1 into 1
2.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.758 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.758 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.758 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.758 * [taylor]: Taking taylor expansion of 1/2 in im
2.758 * [backup-simplify]: Simplify 1/2 into 1/2
2.758 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.758 * [taylor]: Taking taylor expansion of im in im
2.758 * [backup-simplify]: Simplify 0 into 0
2.758 * [backup-simplify]: Simplify 1 into 1
2.759 * [backup-simplify]: Simplify (* 1 1) into 1
2.759 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.759 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.760 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.760 * [backup-simplify]: Simplify 0 into 0
2.760 * [backup-simplify]: Simplify 0 into 0
2.760 * [backup-simplify]: Simplify 0 into 0
2.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.761 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.761 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.761 * [backup-simplify]: Simplify (+ 0 0) into 0
2.762 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.762 * [taylor]: Taking taylor expansion of 0 in im
2.762 * [backup-simplify]: Simplify 0 into 0
2.762 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.763 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.763 * [backup-simplify]: Simplify 0 into 0
2.763 * [backup-simplify]: Simplify 0 into 0
2.763 * [backup-simplify]: Simplify 0 into 0
2.763 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
2.763 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
2.763 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
2.763 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.763 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.763 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.763 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.763 * [taylor]: Taking taylor expansion of re in im
2.763 * [backup-simplify]: Simplify re into re
2.763 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.764 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.764 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.764 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.764 * [taylor]: Taking taylor expansion of im in im
2.764 * [backup-simplify]: Simplify 0 into 0
2.764 * [backup-simplify]: Simplify 1 into 1
2.764 * [backup-simplify]: Simplify (* 1 1) into 1
2.764 * [backup-simplify]: Simplify (/ 1 1) into 1
2.764 * [backup-simplify]: Simplify (+ 0 1) into 1
2.765 * [backup-simplify]: Simplify (sqrt 1) into 1
2.765 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.766 * [backup-simplify]: Simplify (+ 0 0) into 0
2.766 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.766 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.766 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.766 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.766 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.766 * [taylor]: Taking taylor expansion of re in re
2.766 * [backup-simplify]: Simplify 0 into 0
2.766 * [backup-simplify]: Simplify 1 into 1
2.766 * [backup-simplify]: Simplify (* 1 1) into 1
2.767 * [backup-simplify]: Simplify (/ 1 1) into 1
2.767 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.767 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.767 * [taylor]: Taking taylor expansion of im in re
2.767 * [backup-simplify]: Simplify im into im
2.767 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.767 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.767 * [backup-simplify]: Simplify (+ 1 0) into 1
2.767 * [backup-simplify]: Simplify (sqrt 1) into 1
2.768 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.768 * [backup-simplify]: Simplify (+ 0 0) into 0
2.769 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.769 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.769 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.769 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.769 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.769 * [taylor]: Taking taylor expansion of re in re
2.769 * [backup-simplify]: Simplify 0 into 0
2.769 * [backup-simplify]: Simplify 1 into 1
2.769 * [backup-simplify]: Simplify (* 1 1) into 1
2.769 * [backup-simplify]: Simplify (/ 1 1) into 1
2.769 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.769 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.769 * [taylor]: Taking taylor expansion of im in re
2.769 * [backup-simplify]: Simplify im into im
2.769 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.769 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.770 * [backup-simplify]: Simplify (+ 1 0) into 1
2.770 * [backup-simplify]: Simplify (sqrt 1) into 1
2.770 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.771 * [backup-simplify]: Simplify (+ 0 0) into 0
2.771 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.771 * [taylor]: Taking taylor expansion of 1 in im
2.771 * [backup-simplify]: Simplify 1 into 1
2.772 * [taylor]: Taking taylor expansion of 0 in im
2.772 * [backup-simplify]: Simplify 0 into 0
2.772 * [backup-simplify]: Simplify 1 into 1
2.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.773 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.773 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.774 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.774 * [taylor]: Taking taylor expansion of 1/2 in im
2.774 * [backup-simplify]: Simplify 1/2 into 1/2
2.774 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.774 * [taylor]: Taking taylor expansion of im in im
2.774 * [backup-simplify]: Simplify 0 into 0
2.774 * [backup-simplify]: Simplify 1 into 1
2.774 * [backup-simplify]: Simplify (* 1 1) into 1
2.774 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.775 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.775 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.775 * [backup-simplify]: Simplify 0 into 0
2.775 * [backup-simplify]: Simplify 0 into 0
2.775 * [backup-simplify]: Simplify 0 into 0
2.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.777 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.777 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.778 * [backup-simplify]: Simplify (+ 0 0) into 0
2.778 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.778 * [taylor]: Taking taylor expansion of 0 in im
2.778 * [backup-simplify]: Simplify 0 into 0
2.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.780 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.780 * [backup-simplify]: Simplify 0 into 0
2.780 * [backup-simplify]: Simplify 0 into 0
2.780 * [backup-simplify]: Simplify 0 into 0
2.780 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
2.780 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1 1)
2.781 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
2.781 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
2.781 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
2.781 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
2.781 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.781 * [taylor]: Taking taylor expansion of im in im
2.781 * [backup-simplify]: Simplify 0 into 0
2.781 * [backup-simplify]: Simplify 1 into 1
2.781 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.781 * [taylor]: Taking taylor expansion of re in im
2.781 * [backup-simplify]: Simplify re into re
2.781 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.781 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
2.781 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.781 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.782 * [backup-simplify]: Simplify (+ 0 0) into 0
2.782 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.782 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.782 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.782 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.782 * [taylor]: Taking taylor expansion of im in re
2.782 * [backup-simplify]: Simplify im into im
2.782 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.782 * [taylor]: Taking taylor expansion of re in re
2.782 * [backup-simplify]: Simplify 0 into 0
2.782 * [backup-simplify]: Simplify 1 into 1
2.782 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.782 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.782 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.782 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.783 * [backup-simplify]: Simplify (+ 0 0) into 0
2.783 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.783 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.783 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.783 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.783 * [taylor]: Taking taylor expansion of im in re
2.783 * [backup-simplify]: Simplify im into im
2.783 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.783 * [taylor]: Taking taylor expansion of re in re
2.783 * [backup-simplify]: Simplify 0 into 0
2.783 * [backup-simplify]: Simplify 1 into 1
2.783 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.783 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.783 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.783 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.784 * [backup-simplify]: Simplify (+ 0 0) into 0
2.784 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.784 * [taylor]: Taking taylor expansion of im in im
2.784 * [backup-simplify]: Simplify 0 into 0
2.784 * [backup-simplify]: Simplify 1 into 1
2.784 * [backup-simplify]: Simplify 0 into 0
2.784 * [taylor]: Taking taylor expansion of 0 in im
2.784 * [backup-simplify]: Simplify 0 into 0
2.784 * [backup-simplify]: Simplify 0 into 0
2.784 * [backup-simplify]: Simplify 1 into 1
2.784 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.785 * [backup-simplify]: Simplify (* 1 1) into 1
2.785 * [backup-simplify]: Simplify (+ 0 1) into 1
2.786 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.786 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
2.786 * [taylor]: Taking taylor expansion of 1/2 in im
2.786 * [backup-simplify]: Simplify 1/2 into 1/2
2.786 * [taylor]: Taking taylor expansion of im in im
2.786 * [backup-simplify]: Simplify 0 into 0
2.786 * [backup-simplify]: Simplify 1 into 1
2.787 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.788 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.788 * [backup-simplify]: Simplify 0 into 0
2.788 * [backup-simplify]: Simplify 0 into 0
2.788 * [backup-simplify]: Simplify 0 into 0
2.789 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.790 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.790 * [backup-simplify]: Simplify (+ 0 0) into 0
2.790 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.790 * [taylor]: Taking taylor expansion of 0 in im
2.790 * [backup-simplify]: Simplify 0 into 0
2.790 * [backup-simplify]: Simplify 0 into 0
2.791 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.791 * [backup-simplify]: Simplify 0 into 0
2.791 * [backup-simplify]: Simplify 0 into 0
2.791 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
2.792 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
2.792 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
2.792 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.792 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.792 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.792 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.792 * [taylor]: Taking taylor expansion of re in im
2.792 * [backup-simplify]: Simplify re into re
2.792 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.792 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.792 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.792 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.792 * [taylor]: Taking taylor expansion of im in im
2.792 * [backup-simplify]: Simplify 0 into 0
2.792 * [backup-simplify]: Simplify 1 into 1
2.792 * [backup-simplify]: Simplify (* 1 1) into 1
2.793 * [backup-simplify]: Simplify (/ 1 1) into 1
2.793 * [backup-simplify]: Simplify (+ 0 1) into 1
2.794 * [backup-simplify]: Simplify (sqrt 1) into 1
2.794 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.795 * [backup-simplify]: Simplify (+ 0 0) into 0
2.796 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.796 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.796 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.796 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.796 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.796 * [taylor]: Taking taylor expansion of re in re
2.796 * [backup-simplify]: Simplify 0 into 0
2.796 * [backup-simplify]: Simplify 1 into 1
2.797 * [backup-simplify]: Simplify (* 1 1) into 1
2.797 * [backup-simplify]: Simplify (/ 1 1) into 1
2.797 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.797 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.797 * [taylor]: Taking taylor expansion of im in re
2.797 * [backup-simplify]: Simplify im into im
2.797 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.797 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.798 * [backup-simplify]: Simplify (+ 1 0) into 1
2.798 * [backup-simplify]: Simplify (sqrt 1) into 1
2.799 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.800 * [backup-simplify]: Simplify (+ 0 0) into 0
2.800 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.800 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.800 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.800 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.800 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.800 * [taylor]: Taking taylor expansion of re in re
2.800 * [backup-simplify]: Simplify 0 into 0
2.801 * [backup-simplify]: Simplify 1 into 1
2.801 * [backup-simplify]: Simplify (* 1 1) into 1
2.801 * [backup-simplify]: Simplify (/ 1 1) into 1
2.801 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.801 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.801 * [taylor]: Taking taylor expansion of im in re
2.801 * [backup-simplify]: Simplify im into im
2.801 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.802 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.802 * [backup-simplify]: Simplify (+ 1 0) into 1
2.802 * [backup-simplify]: Simplify (sqrt 1) into 1
2.803 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.804 * [backup-simplify]: Simplify (+ 0 0) into 0
2.805 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.805 * [taylor]: Taking taylor expansion of 1 in im
2.805 * [backup-simplify]: Simplify 1 into 1
2.805 * [taylor]: Taking taylor expansion of 0 in im
2.805 * [backup-simplify]: Simplify 0 into 0
2.805 * [backup-simplify]: Simplify 1 into 1
2.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.807 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.808 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.808 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.808 * [taylor]: Taking taylor expansion of 1/2 in im
2.808 * [backup-simplify]: Simplify 1/2 into 1/2
2.808 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.808 * [taylor]: Taking taylor expansion of im in im
2.808 * [backup-simplify]: Simplify 0 into 0
2.808 * [backup-simplify]: Simplify 1 into 1
2.808 * [backup-simplify]: Simplify (* 1 1) into 1
2.809 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.809 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.809 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.809 * [backup-simplify]: Simplify 0 into 0
2.809 * [backup-simplify]: Simplify 0 into 0
2.809 * [backup-simplify]: Simplify 0 into 0
2.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.811 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.811 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.811 * [backup-simplify]: Simplify (+ 0 0) into 0
2.811 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.811 * [taylor]: Taking taylor expansion of 0 in im
2.811 * [backup-simplify]: Simplify 0 into 0
2.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.813 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.813 * [backup-simplify]: Simplify 0 into 0
2.813 * [backup-simplify]: Simplify 0 into 0
2.813 * [backup-simplify]: Simplify 0 into 0
2.813 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
2.813 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
2.813 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
2.813 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.813 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.813 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.813 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.813 * [taylor]: Taking taylor expansion of re in im
2.813 * [backup-simplify]: Simplify re into re
2.813 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.813 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.813 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.813 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.813 * [taylor]: Taking taylor expansion of im in im
2.813 * [backup-simplify]: Simplify 0 into 0
2.813 * [backup-simplify]: Simplify 1 into 1
2.814 * [backup-simplify]: Simplify (* 1 1) into 1
2.814 * [backup-simplify]: Simplify (/ 1 1) into 1
2.814 * [backup-simplify]: Simplify (+ 0 1) into 1
2.814 * [backup-simplify]: Simplify (sqrt 1) into 1
2.815 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.815 * [backup-simplify]: Simplify (+ 0 0) into 0
2.816 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.816 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.816 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.816 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.816 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.816 * [taylor]: Taking taylor expansion of re in re
2.816 * [backup-simplify]: Simplify 0 into 0
2.816 * [backup-simplify]: Simplify 1 into 1
2.817 * [backup-simplify]: Simplify (* 1 1) into 1
2.817 * [backup-simplify]: Simplify (/ 1 1) into 1
2.817 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.817 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.817 * [taylor]: Taking taylor expansion of im in re
2.817 * [backup-simplify]: Simplify im into im
2.817 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.817 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.817 * [backup-simplify]: Simplify (+ 1 0) into 1
2.817 * [backup-simplify]: Simplify (sqrt 1) into 1
2.818 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.818 * [backup-simplify]: Simplify (+ 0 0) into 0
2.819 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.819 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.819 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.819 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.819 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.819 * [taylor]: Taking taylor expansion of re in re
2.819 * [backup-simplify]: Simplify 0 into 0
2.819 * [backup-simplify]: Simplify 1 into 1
2.819 * [backup-simplify]: Simplify (* 1 1) into 1
2.819 * [backup-simplify]: Simplify (/ 1 1) into 1
2.819 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.819 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.820 * [taylor]: Taking taylor expansion of im in re
2.820 * [backup-simplify]: Simplify im into im
2.820 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.820 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.820 * [backup-simplify]: Simplify (+ 1 0) into 1
2.820 * [backup-simplify]: Simplify (sqrt 1) into 1
2.820 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.821 * [backup-simplify]: Simplify (+ 0 0) into 0
2.822 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.822 * [taylor]: Taking taylor expansion of 1 in im
2.822 * [backup-simplify]: Simplify 1 into 1
2.822 * [taylor]: Taking taylor expansion of 0 in im
2.822 * [backup-simplify]: Simplify 0 into 0
2.822 * [backup-simplify]: Simplify 1 into 1
2.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.823 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.824 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.824 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.824 * [taylor]: Taking taylor expansion of 1/2 in im
2.824 * [backup-simplify]: Simplify 1/2 into 1/2
2.824 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.824 * [taylor]: Taking taylor expansion of im in im
2.824 * [backup-simplify]: Simplify 0 into 0
2.824 * [backup-simplify]: Simplify 1 into 1
2.825 * [backup-simplify]: Simplify (* 1 1) into 1
2.826 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.826 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.827 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.827 * [backup-simplify]: Simplify 0 into 0
2.827 * [backup-simplify]: Simplify 0 into 0
2.827 * [backup-simplify]: Simplify 0 into 0
2.827 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.828 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.828 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.828 * [backup-simplify]: Simplify (+ 0 0) into 0
2.829 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.829 * [taylor]: Taking taylor expansion of 0 in im
2.829 * [backup-simplify]: Simplify 0 into 0
2.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.830 * [backup-simplify]: Simplify 0 into 0
2.830 * [backup-simplify]: Simplify 0 into 0
2.830 * [backup-simplify]: Simplify 0 into 0
2.830 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
2.830 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2)
2.830 * [backup-simplify]: Simplify (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2))))
2.830 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0
2.830 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
2.831 * [taylor]: Taking taylor expansion of re in im
2.831 * [backup-simplify]: Simplify re into re
2.831 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
2.831 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
2.831 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.831 * [taylor]: Taking taylor expansion of im in im
2.831 * [backup-simplify]: Simplify 0 into 0
2.831 * [backup-simplify]: Simplify 1 into 1
2.831 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.831 * [taylor]: Taking taylor expansion of re in im
2.831 * [backup-simplify]: Simplify re into re
2.831 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.831 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
2.831 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.831 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.831 * [backup-simplify]: Simplify (+ 0 0) into 0
2.831 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.831 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
2.831 * [taylor]: Taking taylor expansion of re in re
2.831 * [backup-simplify]: Simplify 0 into 0
2.831 * [backup-simplify]: Simplify 1 into 1
2.831 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.831 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.831 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.831 * [taylor]: Taking taylor expansion of im in re
2.831 * [backup-simplify]: Simplify im into im
2.831 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.831 * [taylor]: Taking taylor expansion of re in re
2.831 * [backup-simplify]: Simplify 0 into 0
2.831 * [backup-simplify]: Simplify 1 into 1
2.831 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.831 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.832 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.832 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.832 * [backup-simplify]: Simplify (+ 0 0) into 0
2.832 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.832 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
2.832 * [taylor]: Taking taylor expansion of re in re
2.832 * [backup-simplify]: Simplify 0 into 0
2.832 * [backup-simplify]: Simplify 1 into 1
2.832 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.832 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.832 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.832 * [taylor]: Taking taylor expansion of im in re
2.832 * [backup-simplify]: Simplify im into im
2.832 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.832 * [taylor]: Taking taylor expansion of re in re
2.832 * [backup-simplify]: Simplify 0 into 0
2.832 * [backup-simplify]: Simplify 1 into 1
2.832 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.832 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.832 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.832 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.833 * [backup-simplify]: Simplify (+ 0 0) into 0
2.833 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.833 * [backup-simplify]: Simplify (+ 0 im) into im
2.833 * [taylor]: Taking taylor expansion of im in im
2.833 * [backup-simplify]: Simplify 0 into 0
2.833 * [backup-simplify]: Simplify 1 into 1
2.833 * [backup-simplify]: Simplify 0 into 0
2.833 * [backup-simplify]: Simplify (+ 1 0) into 1
2.833 * [taylor]: Taking taylor expansion of 1 in im
2.833 * [backup-simplify]: Simplify 1 into 1
2.833 * [backup-simplify]: Simplify 1 into 1
2.833 * [backup-simplify]: Simplify 1 into 1
2.833 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.834 * [backup-simplify]: Simplify (* 1 1) into 1
2.834 * [backup-simplify]: Simplify (+ 0 1) into 1
2.834 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.834 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
2.834 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
2.834 * [taylor]: Taking taylor expansion of 1/2 in im
2.834 * [backup-simplify]: Simplify 1/2 into 1/2
2.834 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.834 * [taylor]: Taking taylor expansion of im in im
2.834 * [backup-simplify]: Simplify 0 into 0
2.834 * [backup-simplify]: Simplify 1 into 1
2.835 * [backup-simplify]: Simplify (/ 1 1) into 1
2.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.836 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.836 * [backup-simplify]: Simplify 0 into 0
2.836 * [backup-simplify]: Simplify 0 into 0
2.836 * [backup-simplify]: Simplify 0 into 0
2.837 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.838 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.838 * [backup-simplify]: Simplify (+ 0 0) into 0
2.838 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.838 * [backup-simplify]: Simplify (+ 0 0) into 0
2.838 * [taylor]: Taking taylor expansion of 0 in im
2.839 * [backup-simplify]: Simplify 0 into 0
2.839 * [backup-simplify]: Simplify 0 into 0
2.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.841 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.841 * [backup-simplify]: Simplify 0 into 0
2.841 * [backup-simplify]: Simplify 0 into 0
2.841 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
2.842 * [backup-simplify]: Simplify (+ (* (* (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))
2.842 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
2.842 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
2.842 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.842 * [taylor]: Taking taylor expansion of re in im
2.842 * [backup-simplify]: Simplify re into re
2.842 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.842 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.842 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.842 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.842 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.842 * [taylor]: Taking taylor expansion of re in im
2.842 * [backup-simplify]: Simplify re into re
2.842 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.842 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.842 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.842 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.842 * [taylor]: Taking taylor expansion of im in im
2.842 * [backup-simplify]: Simplify 0 into 0
2.842 * [backup-simplify]: Simplify 1 into 1
2.843 * [backup-simplify]: Simplify (* 1 1) into 1
2.843 * [backup-simplify]: Simplify (/ 1 1) into 1
2.844 * [backup-simplify]: Simplify (+ 0 1) into 1
2.844 * [backup-simplify]: Simplify (sqrt 1) into 1
2.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.846 * [backup-simplify]: Simplify (+ 0 0) into 0
2.846 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.846 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
2.846 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.847 * [taylor]: Taking taylor expansion of re in re
2.847 * [backup-simplify]: Simplify 0 into 0
2.847 * [backup-simplify]: Simplify 1 into 1
2.847 * [backup-simplify]: Simplify (/ 1 1) into 1
2.847 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.847 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.847 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.847 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.847 * [taylor]: Taking taylor expansion of re in re
2.847 * [backup-simplify]: Simplify 0 into 0
2.847 * [backup-simplify]: Simplify 1 into 1
2.848 * [backup-simplify]: Simplify (* 1 1) into 1
2.848 * [backup-simplify]: Simplify (/ 1 1) into 1
2.848 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.848 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.848 * [taylor]: Taking taylor expansion of im in re
2.848 * [backup-simplify]: Simplify im into im
2.848 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.848 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.849 * [backup-simplify]: Simplify (+ 1 0) into 1
2.849 * [backup-simplify]: Simplify (sqrt 1) into 1
2.850 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.851 * [backup-simplify]: Simplify (+ 0 0) into 0
2.852 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.852 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
2.852 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.852 * [taylor]: Taking taylor expansion of re in re
2.852 * [backup-simplify]: Simplify 0 into 0
2.852 * [backup-simplify]: Simplify 1 into 1
2.852 * [backup-simplify]: Simplify (/ 1 1) into 1
2.852 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.852 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.852 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.852 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.852 * [taylor]: Taking taylor expansion of re in re
2.852 * [backup-simplify]: Simplify 0 into 0
2.852 * [backup-simplify]: Simplify 1 into 1
2.853 * [backup-simplify]: Simplify (* 1 1) into 1
2.853 * [backup-simplify]: Simplify (/ 1 1) into 1
2.853 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.853 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.853 * [taylor]: Taking taylor expansion of im in re
2.853 * [backup-simplify]: Simplify im into im
2.853 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.853 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.854 * [backup-simplify]: Simplify (+ 1 0) into 1
2.854 * [backup-simplify]: Simplify (sqrt 1) into 1
2.855 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.856 * [backup-simplify]: Simplify (+ 0 0) into 0
2.857 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.857 * [backup-simplify]: Simplify (+ 1 1) into 2
2.857 * [taylor]: Taking taylor expansion of 2 in im
2.857 * [backup-simplify]: Simplify 2 into 2
2.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.859 * [backup-simplify]: Simplify (+ 0 0) into 0
2.859 * [taylor]: Taking taylor expansion of 0 in im
2.859 * [backup-simplify]: Simplify 0 into 0
2.859 * [backup-simplify]: Simplify 2 into 2
2.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.861 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.863 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.863 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
2.863 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
2.863 * [taylor]: Taking taylor expansion of 1/2 in im
2.863 * [backup-simplify]: Simplify 1/2 into 1/2
2.863 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.863 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.863 * [taylor]: Taking taylor expansion of im in im
2.863 * [backup-simplify]: Simplify 0 into 0
2.863 * [backup-simplify]: Simplify 1 into 1
2.863 * [backup-simplify]: Simplify (* 1 1) into 1
2.864 * [backup-simplify]: Simplify (/ 1 1) into 1
2.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.866 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.866 * [backup-simplify]: Simplify 0 into 0
2.866 * [backup-simplify]: Simplify 0 into 0
2.866 * [backup-simplify]: Simplify 0 into 0
2.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.869 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.870 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.870 * [backup-simplify]: Simplify (+ 0 0) into 0
2.871 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.871 * [backup-simplify]: Simplify (+ 0 0) into 0
2.871 * [taylor]: Taking taylor expansion of 0 in im
2.871 * [backup-simplify]: Simplify 0 into 0
2.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.874 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.874 * [backup-simplify]: Simplify 0 into 0
2.874 * [backup-simplify]: Simplify 0 into 0
2.874 * [backup-simplify]: Simplify 0 into 0
2.874 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
2.875 * [backup-simplify]: Simplify (+ (* (* (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))
2.875 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
2.875 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
2.875 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.875 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.875 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.875 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.875 * [taylor]: Taking taylor expansion of re in im
2.875 * [backup-simplify]: Simplify re into re
2.875 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.875 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.876 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.876 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.876 * [taylor]: Taking taylor expansion of im in im
2.876 * [backup-simplify]: Simplify 0 into 0
2.876 * [backup-simplify]: Simplify 1 into 1
2.876 * [backup-simplify]: Simplify (* 1 1) into 1
2.876 * [backup-simplify]: Simplify (/ 1 1) into 1
2.877 * [backup-simplify]: Simplify (+ 0 1) into 1
2.877 * [backup-simplify]: Simplify (sqrt 1) into 1
2.878 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.879 * [backup-simplify]: Simplify (+ 0 0) into 0
2.880 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.880 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.880 * [taylor]: Taking taylor expansion of re in im
2.880 * [backup-simplify]: Simplify re into re
2.880 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.880 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
2.880 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.880 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.880 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.880 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.880 * [taylor]: Taking taylor expansion of re in re
2.880 * [backup-simplify]: Simplify 0 into 0
2.880 * [backup-simplify]: Simplify 1 into 1
2.880 * [backup-simplify]: Simplify (* 1 1) into 1
2.881 * [backup-simplify]: Simplify (/ 1 1) into 1
2.881 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.881 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.881 * [taylor]: Taking taylor expansion of im in re
2.881 * [backup-simplify]: Simplify im into im
2.881 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.881 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.882 * [backup-simplify]: Simplify (+ 1 0) into 1
2.882 * [backup-simplify]: Simplify (sqrt 1) into 1
2.883 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.884 * [backup-simplify]: Simplify (+ 0 0) into 0
2.884 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.884 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.884 * [taylor]: Taking taylor expansion of re in re
2.885 * [backup-simplify]: Simplify 0 into 0
2.885 * [backup-simplify]: Simplify 1 into 1
2.885 * [backup-simplify]: Simplify (/ 1 1) into 1
2.885 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
2.885 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.885 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.885 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.885 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.885 * [taylor]: Taking taylor expansion of re in re
2.885 * [backup-simplify]: Simplify 0 into 0
2.885 * [backup-simplify]: Simplify 1 into 1
2.886 * [backup-simplify]: Simplify (* 1 1) into 1
2.886 * [backup-simplify]: Simplify (/ 1 1) into 1
2.886 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.886 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.886 * [taylor]: Taking taylor expansion of im in re
2.886 * [backup-simplify]: Simplify im into im
2.886 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.886 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.887 * [backup-simplify]: Simplify (+ 1 0) into 1
2.887 * [backup-simplify]: Simplify (sqrt 1) into 1
2.888 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.889 * [backup-simplify]: Simplify (+ 0 0) into 0
2.890 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.890 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.890 * [taylor]: Taking taylor expansion of re in re
2.890 * [backup-simplify]: Simplify 0 into 0
2.890 * [backup-simplify]: Simplify 1 into 1
2.890 * [backup-simplify]: Simplify (/ 1 1) into 1
2.890 * [backup-simplify]: Simplify (- 1) into -1
2.891 * [backup-simplify]: Simplify (+ 1 -1) into 0
2.891 * [taylor]: Taking taylor expansion of 0 in im
2.891 * [backup-simplify]: Simplify 0 into 0
2.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.892 * [backup-simplify]: Simplify (- 0) into 0
2.893 * [backup-simplify]: Simplify (+ 0 0) into 0
2.893 * [taylor]: Taking taylor expansion of 0 in im
2.893 * [backup-simplify]: Simplify 0 into 0
2.893 * [backup-simplify]: Simplify 0 into 0
2.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.895 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.896 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.897 * [backup-simplify]: Simplify (- 0) into 0
2.897 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
2.897 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
2.897 * [taylor]: Taking taylor expansion of 1/2 in im
2.897 * [backup-simplify]: Simplify 1/2 into 1/2
2.897 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.897 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.897 * [taylor]: Taking taylor expansion of im in im
2.898 * [backup-simplify]: Simplify 0 into 0
2.898 * [backup-simplify]: Simplify 1 into 1
2.898 * [backup-simplify]: Simplify (* 1 1) into 1
2.898 * [backup-simplify]: Simplify (/ 1 1) into 1
2.899 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.900 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.900 * [backup-simplify]: Simplify 0 into 0
2.901 * [backup-simplify]: Simplify 0 into 0
2.901 * [backup-simplify]: Simplify 0 into 0
2.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.903 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.903 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.903 * [backup-simplify]: Simplify (+ 0 0) into 0
2.904 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.905 * [backup-simplify]: Simplify (- 0) into 0
2.905 * [backup-simplify]: Simplify (+ 0 0) into 0
2.905 * [taylor]: Taking taylor expansion of 0 in im
2.905 * [backup-simplify]: Simplify 0 into 0
2.907 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.908 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.908 * [backup-simplify]: Simplify 0 into 0
2.908 * [backup-simplify]: Simplify 0 into 0
2.908 * [backup-simplify]: Simplify 0 into 0
2.909 * * * [progress]: simplifying candidates
2.909 * * * * [progress]: [ 1 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (pow (+ (* re re) (* im im)) 1/2))) re)))))>
2.909 * * * * [progress]: [ 2 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (pow (sqrt (+ (* re re) (* im im))) 1))) re)))))>
2.909 * * * * [progress]: [ 3 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)))))>
2.909 * * * * [progress]: [ 4 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (log (exp (sqrt (+ (* re re) (* im im))))))) re)))))>
2.909 * * * * [progress]: [ 5 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
2.909 * * * * [progress]: [ 6 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (cbrt (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))))) re)))))>
2.909 * * * * [progress]: [ 7 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (* (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im))))))) re)))))>
2.909 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
2.910 * * [simplify]: iters left: 6 (8 enodes)
2.913 * * [simplify]: iters left: 5 (26 enodes)
2.920 * * [simplify]: Extracting #0: cost 1 inf + 0
2.920 * * [simplify]: Extracting #1: cost 4 inf + 0
2.920 * * [simplify]: Extracting #2: cost 7 inf + 0
2.920 * * [simplify]: Extracting #3: cost 10 inf + 0
2.920 * * [simplify]: Extracting #4: cost 14 inf + 0
2.920 * * [simplify]: Extracting #5: cost 10 inf + 84
2.920 * * [simplify]: Extracting #6: cost 8 inf + 166
2.920 * * [simplify]: Extracting #7: cost 4 inf + 854
2.920 * * [simplify]: Extracting #8: cost 1 inf + 1540
2.921 * * [simplify]: Extracting #9: cost 0 inf + 1782
2.921 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im))))
2.921 * [simplify]: Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) re)))))
2.921 * * * * [progress]: [ 8 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
2.921 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im))))
2.921 * * [simplify]: iters left: 6 (7 enodes)
2.923 * * [simplify]: iters left: 5 (22 enodes)
2.926 * * [simplify]: Extracting #0: cost 1 inf + 0
2.926 * * [simplify]: Extracting #1: cost 3 inf + 0
2.926 * * [simplify]: Extracting #2: cost 5 inf + 0
2.926 * * [simplify]: Extracting #3: cost 8 inf + 0
2.926 * * [simplify]: Extracting #4: cost 12 inf + 0
2.926 * * [simplify]: Extracting #5: cost 10 inf + 2
2.926 * * [simplify]: Extracting #6: cost 1 inf + 936
2.926 * * [simplify]: Extracting #7: cost 0 inf + 1138
2.926 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im))))
2.926 * [simplify]: Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))
2.927 * * * * [progress]: [ 9 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (* (sqrt 1) (sqrt (+ (* re re) (* im im)))))) re)))))>
2.927 * [simplify]: Simplifying (sqrt 1)
2.927 * * [simplify]: iters left: 1 (2 enodes)
2.929 * * [simplify]: Extracting #0: cost 1 inf + 0
2.929 * * [simplify]: Extracting #1: cost 0 inf + 1
2.929 * [simplify]: Simplified to 1
2.929 * [simplify]: Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (* 1 (sqrt (+ (* re re) (* im im)))))) re)))))
2.929 * * * * [progress]: [ 10 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (/ (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))) re)))))>
2.929 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
2.930 * * [simplify]: iters left: 6 (9 enodes)
2.932 * * [simplify]: iters left: 5 (45 enodes)
2.943 * * [simplify]: iters left: 4 (100 enodes)
2.972 * * [simplify]: iters left: 3 (201 enodes)
3.032 * * [simplify]: iters left: 2 (406 enodes)
3.176 * * [simplify]: Extracting #0: cost 1 inf + 0
3.176 * * [simplify]: Extracting #1: cost 3 inf + 0
3.176 * * [simplify]: Extracting #2: cost 6 inf + 0
3.176 * * [simplify]: Extracting #3: cost 62 inf + 0
3.177 * * [simplify]: Extracting #4: cost 166 inf + 460
3.180 * * [simplify]: Extracting #5: cost 131 inf + 12951
3.187 * * [simplify]: Extracting #6: cost 49 inf + 45746
3.196 * * [simplify]: Extracting #7: cost 1 inf + 66256
3.202 * * [simplify]: Extracting #8: cost 0 inf + 65919
3.207 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im)))))
3.207 * [simplify]: Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (/ (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))) re)))))
3.207 * * * * [progress]: [ 11 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))))) re)))))>
3.207 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
3.207 * * [simplify]: iters left: 6 (8 enodes)
3.209 * * [simplify]: iters left: 5 (37 enodes)
3.216 * * [simplify]: iters left: 4 (67 enodes)
3.234 * * [simplify]: iters left: 3 (123 enodes)
3.270 * * [simplify]: iters left: 2 (278 enodes)
3.433 * * [simplify]: Extracting #0: cost 1 inf + 0
3.433 * * [simplify]: Extracting #1: cost 3 inf + 0
3.433 * * [simplify]: Extracting #2: cost 50 inf + 0
3.434 * * [simplify]: Extracting #3: cost 150 inf + 0
3.436 * * [simplify]: Extracting #4: cost 194 inf + 1180
3.441 * * [simplify]: Extracting #5: cost 123 inf + 12421
3.456 * * [simplify]: Extracting #6: cost 12 inf + 33804
3.471 * * [simplify]: Extracting #7: cost 0 inf + 36129
3.485 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
3.485 * [simplify]: Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))))) re)))))
3.486 * * * * [progress]: [ 12 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (pow (+ (* re re) (* im im)) (/ 1 2)))) re)))))>
3.486 * [simplify]: Simplifying (+ (* re re) (* im im))
3.486 * * [simplify]: iters left: 4 (5 enodes)
3.489 * * [simplify]: iters left: 3 (16 enodes)
3.494 * * [simplify]: Extracting #0: cost 1 inf + 0
3.494 * * [simplify]: Extracting #1: cost 4 inf + 0
3.494 * * [simplify]: Extracting #2: cost 8 inf + 0
3.494 * * [simplify]: Extracting #3: cost 4 inf + 84
3.494 * * [simplify]: Extracting #4: cost 0 inf + 410
3.494 * [simplify]: Simplified to (+ (* re re) (* im im))
3.494 * [simplify]: Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (pow (+ (* re re) (* im im)) (/ 1 2)))) re)))))
3.495 * * * * [progress]: [ 13 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
3.495 * * * * [progress]: [ 14 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (fabs (sqrt (+ (* re re) (* im im)))))) re)))))>
3.495 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im)))
3.495 * * [simplify]: iters left: 5 (6 enodes)
3.498 * * [simplify]: iters left: 4 (19 enodes)
3.503 * * [simplify]: Extracting #0: cost 1 inf + 0
3.503 * * [simplify]: Extracting #1: cost 3 inf + 0
3.503 * * [simplify]: Extracting #2: cost 6 inf + 0
3.503 * * [simplify]: Extracting #3: cost 10 inf + 0
3.503 * * [simplify]: Extracting #4: cost 6 inf + 84
3.503 * * [simplify]: Extracting #5: cost 0 inf + 734
3.504 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im)))
3.504 * [simplify]: Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (fabs (sqrt (+ (* re re) (* im im)))))) re)))))
3.504 * * * * [progress]: [ 15 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (* 1 (sqrt (+ (* re re) (* im im)))))) re)))))>
3.504 * * * * [progress]: [ 16 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (posit16->real (real->posit16 (sqrt (+ (* re re) (* im im))))))) re)))))>
3.504 * * * * [progress]: [ 17 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (pow (+ (* re re) (* im im)) 1/2))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
3.504 * * * * [progress]: [ 18 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (pow (sqrt (+ (* re re) (* im im))) 1))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
3.504 * * * * [progress]: [ 19 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
3.504 * * * * [progress]: [ 20 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (log (exp (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
3.505 * * * * [progress]: [ 21 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
3.505 * * * * [progress]: [ 22 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (cbrt (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
3.505 * * * * [progress]: [ 23 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
3.505 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
3.505 * * [simplify]: iters left: 6 (8 enodes)
3.508 * * [simplify]: iters left: 5 (26 enodes)
3.515 * * [simplify]: Extracting #0: cost 1 inf + 0
3.515 * * [simplify]: Extracting #1: cost 4 inf + 0
3.515 * * [simplify]: Extracting #2: cost 7 inf + 0
3.515 * * [simplify]: Extracting #3: cost 10 inf + 0
3.515 * * [simplify]: Extracting #4: cost 14 inf + 0
3.515 * * [simplify]: Extracting #5: cost 10 inf + 84
3.516 * * [simplify]: Extracting #6: cost 8 inf + 166
3.516 * * [simplify]: Extracting #7: cost 4 inf + 854
3.516 * * [simplify]: Extracting #8: cost 1 inf + 1540
3.516 * * [simplify]: Extracting #9: cost 0 inf + 1782
3.517 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im))))
3.517 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))
3.517 * * * * [progress]: [ 24 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
3.517 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im))))
3.517 * * [simplify]: iters left: 6 (7 enodes)
3.518 * * [simplify]: iters left: 5 (22 enodes)
3.521 * * [simplify]: Extracting #0: cost 1 inf + 0
3.521 * * [simplify]: Extracting #1: cost 3 inf + 0
3.521 * * [simplify]: Extracting #2: cost 5 inf + 0
3.521 * * [simplify]: Extracting #3: cost 8 inf + 0
3.521 * * [simplify]: Extracting #4: cost 12 inf + 0
3.521 * * [simplify]: Extracting #5: cost 10 inf + 2
3.522 * * [simplify]: Extracting #6: cost 1 inf + 936
3.522 * * [simplify]: Extracting #7: cost 0 inf + 1138
3.522 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im))))
3.522 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))
3.522 * * * * [progress]: [ 25 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (sqrt 1) (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
3.522 * [simplify]: Simplifying (sqrt 1)
3.522 * * [simplify]: iters left: 1 (2 enodes)
3.525 * * [simplify]: Extracting #0: cost 1 inf + 0
3.525 * * [simplify]: Extracting #1: cost 0 inf + 1
3.525 * [simplify]: Simplified to 1
3.525 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* 1 (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))
3.525 * * * * [progress]: [ 26 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (/ (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
3.525 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
3.525 * * [simplify]: iters left: 6 (9 enodes)
3.528 * * [simplify]: iters left: 5 (45 enodes)
3.539 * * [simplify]: iters left: 4 (100 enodes)
3.579 * * [simplify]: iters left: 3 (201 enodes)
3.630 * * [simplify]: iters left: 2 (406 enodes)
3.758 * * [simplify]: Extracting #0: cost 1 inf + 0
3.759 * * [simplify]: Extracting #1: cost 3 inf + 0
3.759 * * [simplify]: Extracting #2: cost 6 inf + 0
3.759 * * [simplify]: Extracting #3: cost 62 inf + 0
3.759 * * [simplify]: Extracting #4: cost 166 inf + 460
3.761 * * [simplify]: Extracting #5: cost 131 inf + 12951
3.765 * * [simplify]: Extracting #6: cost 49 inf + 45746
3.770 * * [simplify]: Extracting #7: cost 1 inf + 66256
3.775 * * [simplify]: Extracting #8: cost 0 inf + 65919
3.784 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im)))))
3.785 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (/ (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))
3.785 * * * * [progress]: [ 27 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
3.785 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
3.785 * * [simplify]: iters left: 6 (8 enodes)
3.790 * * [simplify]: iters left: 5 (37 enodes)
3.802 * * [simplify]: iters left: 4 (67 enodes)
3.820 * * [simplify]: iters left: 3 (123 enodes)
3.853 * * [simplify]: iters left: 2 (278 enodes)
4.011 * * [simplify]: Extracting #0: cost 1 inf + 0
4.011 * * [simplify]: Extracting #1: cost 3 inf + 0
4.011 * * [simplify]: Extracting #2: cost 50 inf + 0
4.012 * * [simplify]: Extracting #3: cost 150 inf + 0
4.013 * * [simplify]: Extracting #4: cost 194 inf + 1180
4.015 * * [simplify]: Extracting #5: cost 123 inf + 12421
4.021 * * [simplify]: Extracting #6: cost 12 inf + 33804
4.028 * * [simplify]: Extracting #7: cost 0 inf + 36129
4.039 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
4.039 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))
4.039 * * * * [progress]: [ 28 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (pow (+ (* re re) (* im im)) (/ 1 2)))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
4.039 * [simplify]: Simplifying (+ (* re re) (* im im))
4.039 * * [simplify]: iters left: 4 (5 enodes)
4.040 * * [simplify]: iters left: 3 (16 enodes)
4.042 * * [simplify]: Extracting #0: cost 1 inf + 0
4.042 * * [simplify]: Extracting #1: cost 4 inf + 0
4.043 * * [simplify]: Extracting #2: cost 8 inf + 0
4.043 * * [simplify]: Extracting #3: cost 4 inf + 84
4.043 * * [simplify]: Extracting #4: cost 0 inf + 410
4.043 * [simplify]: Simplified to (+ (* re re) (* im im))
4.043 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (pow (+ (* re re) (* im im)) (/ 1 2)))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))
4.043 * * * * [progress]: [ 29 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
4.043 * * * * [progress]: [ 30 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (fabs (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
4.043 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im)))
4.043 * * [simplify]: iters left: 5 (6 enodes)
4.045 * * [simplify]: iters left: 4 (19 enodes)
4.047 * * [simplify]: Extracting #0: cost 1 inf + 0
4.047 * * [simplify]: Extracting #1: cost 3 inf + 0
4.047 * * [simplify]: Extracting #2: cost 6 inf + 0
4.047 * * [simplify]: Extracting #3: cost 10 inf + 0
4.047 * * [simplify]: Extracting #4: cost 6 inf + 84
4.047 * * [simplify]: Extracting #5: cost 0 inf + 734
4.047 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im)))
4.047 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (fabs (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))
4.048 * * * * [progress]: [ 31 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* 1 (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
4.048 * * * * [progress]: [ 32 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (posit16->real (real->posit16 (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
4.048 * * * * [progress]: [ 33 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (pow (+ (* re re) (* im im)) 1/2)) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
4.048 * * * * [progress]: [ 34 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (pow (sqrt (+ (* re re) (* im im))) 1)) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
4.048 * * * * [progress]: [ 35 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
4.048 * * * * [progress]: [ 36 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (log (exp (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
4.048 * * * * [progress]: [ 37 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
4.048 * * * * [progress]: [ 38 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (cbrt (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
4.048 * * * * [progress]: [ 39 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (* (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
4.048 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
4.048 * * [simplify]: iters left: 6 (8 enodes)
4.050 * * [simplify]: iters left: 5 (26 enodes)
4.053 * * [simplify]: Extracting #0: cost 1 inf + 0
4.053 * * [simplify]: Extracting #1: cost 4 inf + 0
4.053 * * [simplify]: Extracting #2: cost 7 inf + 0
4.053 * * [simplify]: Extracting #3: cost 10 inf + 0
4.053 * * [simplify]: Extracting #4: cost 14 inf + 0
4.053 * * [simplify]: Extracting #5: cost 10 inf + 84
4.054 * * [simplify]: Extracting #6: cost 8 inf + 166
4.054 * * [simplify]: Extracting #7: cost 4 inf + 854
4.054 * * [simplify]: Extracting #8: cost 1 inf + 1540
4.054 * * [simplify]: Extracting #9: cost 0 inf + 1782
4.054 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im))))
4.054 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))
4.055 * * * * [progress]: [ 40 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
4.055 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im))))
4.055 * * [simplify]: iters left: 6 (7 enodes)
4.056 * * [simplify]: iters left: 5 (22 enodes)
4.059 * * [simplify]: Extracting #0: cost 1 inf + 0
4.059 * * [simplify]: Extracting #1: cost 3 inf + 0
4.059 * * [simplify]: Extracting #2: cost 5 inf + 0
4.059 * * [simplify]: Extracting #3: cost 8 inf + 0
4.059 * * [simplify]: Extracting #4: cost 12 inf + 0
4.059 * * [simplify]: Extracting #5: cost 10 inf + 2
4.059 * * [simplify]: Extracting #6: cost 1 inf + 936
4.060 * * [simplify]: Extracting #7: cost 0 inf + 1138
4.060 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im))))
4.060 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))
4.060 * * * * [progress]: [ 41 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (* (sqrt 1) (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
4.060 * [simplify]: Simplifying (sqrt 1)
4.060 * * [simplify]: iters left: 1 (2 enodes)
4.062 * * [simplify]: Extracting #0: cost 1 inf + 0
4.062 * * [simplify]: Extracting #1: cost 0 inf + 1
4.062 * [simplify]: Simplified to 1
4.062 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (* 1 (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))
4.062 * * * * [progress]: [ 42 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (/ (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
4.062 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
4.063 * * [simplify]: iters left: 6 (9 enodes)
4.065 * * [simplify]: iters left: 5 (45 enodes)
4.080 * * [simplify]: iters left: 4 (100 enodes)
4.126 * * [simplify]: iters left: 3 (201 enodes)
4.210 * * [simplify]: iters left: 2 (406 enodes)
4.368 * * [simplify]: Extracting #0: cost 1 inf + 0
4.368 * * [simplify]: Extracting #1: cost 3 inf + 0
4.369 * * [simplify]: Extracting #2: cost 6 inf + 0
4.369 * * [simplify]: Extracting #3: cost 62 inf + 0
4.370 * * [simplify]: Extracting #4: cost 166 inf + 460
4.373 * * [simplify]: Extracting #5: cost 131 inf + 12951
4.385 * * [simplify]: Extracting #6: cost 49 inf + 45746
4.396 * * [simplify]: Extracting #7: cost 1 inf + 66256
4.401 * * [simplify]: Extracting #8: cost 0 inf + 65919
4.406 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im)))))
4.406 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (/ (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))
4.406 * * * * [progress]: [ 43 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
4.406 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
4.407 * * [simplify]: iters left: 6 (8 enodes)
4.409 * * [simplify]: iters left: 5 (37 enodes)
4.415 * * [simplify]: iters left: 4 (67 enodes)
4.427 * * [simplify]: iters left: 3 (123 enodes)
4.460 * * [simplify]: iters left: 2 (278 enodes)
4.572 * * [simplify]: Extracting #0: cost 1 inf + 0
4.572 * * [simplify]: Extracting #1: cost 3 inf + 0
4.572 * * [simplify]: Extracting #2: cost 50 inf + 0
4.573 * * [simplify]: Extracting #3: cost 150 inf + 0
4.574 * * [simplify]: Extracting #4: cost 194 inf + 1180
4.576 * * [simplify]: Extracting #5: cost 123 inf + 12421
4.582 * * [simplify]: Extracting #6: cost 12 inf + 33804
4.589 * * [simplify]: Extracting #7: cost 0 inf + 36129
4.596 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
4.596 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))
4.597 * * * * [progress]: [ 44 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (pow (+ (* re re) (* im im)) (/ 1 2))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
4.597 * [simplify]: Simplifying (+ (* re re) (* im im))
4.597 * * [simplify]: iters left: 4 (5 enodes)
4.598 * * [simplify]: iters left: 3 (16 enodes)
4.601 * * [simplify]: Extracting #0: cost 1 inf + 0
4.601 * * [simplify]: Extracting #1: cost 4 inf + 0
4.601 * * [simplify]: Extracting #2: cost 8 inf + 0
4.601 * * [simplify]: Extracting #3: cost 4 inf + 84
4.602 * * [simplify]: Extracting #4: cost 0 inf + 410
4.602 * [simplify]: Simplified to (+ (* re re) (* im im))
4.602 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (pow (+ (* re re) (* im im)) (/ 1 2))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))
4.602 * * * * [progress]: [ 45 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
4.602 * * * * [progress]: [ 46 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (fabs (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
4.603 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im)))
4.603 * * [simplify]: iters left: 5 (6 enodes)
4.605 * * [simplify]: iters left: 4 (19 enodes)
4.610 * * [simplify]: Extracting #0: cost 1 inf + 0
4.610 * * [simplify]: Extracting #1: cost 3 inf + 0
4.610 * * [simplify]: Extracting #2: cost 6 inf + 0
4.610 * * [simplify]: Extracting #3: cost 10 inf + 0
4.611 * * [simplify]: Extracting #4: cost 6 inf + 84
4.611 * * [simplify]: Extracting #5: cost 0 inf + 734
4.611 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im)))
4.611 * [simplify]: Simplified (2 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (fabs (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))
4.611 * * * * [progress]: [ 47 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (* 1 (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
4.611 * * * * [progress]: [ 48 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (posit16->real (real->posit16 (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
4.612 * * * * [progress]: [ 49 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (log (* (exp (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (exp re)))))))>
4.612 * [simplify]: Simplifying (* (exp (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (exp re))
4.612 * * [simplify]: iters left: 6 (12 enodes)
4.617 * * [simplify]: iters left: 5 (43 enodes)
4.634 * * [simplify]: iters left: 4 (58 enodes)
4.651 * * [simplify]: iters left: 3 (83 enodes)
4.678 * * [simplify]: iters left: 2 (139 enodes)
4.715 * * [simplify]: iters left: 1 (282 enodes)
4.786 * * [simplify]: Extracting #0: cost 1 inf + 0
4.786 * * [simplify]: Extracting #1: cost 36 inf + 0
4.786 * * [simplify]: Extracting #2: cost 120 inf + 0
4.787 * * [simplify]: Extracting #3: cost 176 inf + 3
4.787 * * [simplify]: Extracting #4: cost 200 inf + 149
4.788 * * [simplify]: Extracting #5: cost 202 inf + 192
4.789 * * [simplify]: Extracting #6: cost 192 inf + 1377
4.790 * * [simplify]: Extracting #7: cost 174 inf + 6620
4.799 * * [simplify]: Extracting #8: cost 105 inf + 39873
4.822 * * [simplify]: Extracting #9: cost 41 inf + 88368
4.859 * * [simplify]: Extracting #10: cost 1 inf + 128458
4.901 * * [simplify]: Extracting #11: cost 0 inf + 128807
4.923 * [simplify]: Simplified to (exp (+ re (sqrt (+ (* re re) (* im im)))))
4.923 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (log (exp (+ re (sqrt (+ (* re re) (* im im))))))))))
4.923 * * * * [progress]: [ 50 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (pow (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) 1)))))>
4.923 * * * * [progress]: [ 51 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))))>
4.923 * * * * [progress]: [ 52 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (log (exp (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))))>
4.923 * * * * [progress]: [ 53 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))))>
4.923 * * * * [progress]: [ 54 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (cbrt (* (* (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))))>
4.923 * * * * [progress]: [ 55 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (sqrt (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))))>
4.923 * * * * [progress]: [ 56 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (pow (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) 3) (pow re 3)) (+ (* (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (- (* re re) (* (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))))))))>
4.923 * * * * [progress]: [ 57 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))))))>
4.923 * * * * [progress]: [ 58 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* re re)) (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))))))>
4.924 * * * * [progress]: [ 59 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (posit16->real (real->posit16 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))))>
4.924 * * * * [progress]: [ 60 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))))))>
4.924 * * * * [progress]: [ 61 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt im)) re)))))>
4.924 * [simplify]: Simplifying im
4.924 * * [simplify]: iters left: 0 (1 enodes)
4.924 * * [simplify]: Extracting #0: cost 1 inf + 0
4.924 * * [simplify]: Extracting #1: cost 0 inf + 1
4.924 * [simplify]: Simplified to im
4.924 * [simplify]: Simplified (2 2 1 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt im)) re)))))
4.924 * * * * [progress]: [ 62 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt re)) re)))))>
4.924 * [simplify]: Simplifying re
4.924 * * [simplify]: iters left: 0 (1 enodes)
4.925 * * [simplify]: Extracting #0: cost 1 inf + 0
4.925 * * [simplify]: Extracting #1: cost 0 inf + 1
4.925 * [simplify]: Simplified to re
4.925 * [simplify]: Simplified (2 2 1 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt re)) re)))))
4.925 * * * * [progress]: [ 63 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (* -1 re))) re)))))>
4.925 * [simplify]: Simplifying (* -1 re)
4.925 * * [simplify]: iters left: 2 (3 enodes)
4.926 * * [simplify]: iters left: 1 (11 enodes)
4.928 * * [simplify]: Extracting #0: cost 1 inf + 0
4.928 * * [simplify]: Extracting #1: cost 4 inf + 0
4.928 * * [simplify]: Extracting #2: cost 0 inf + 84
4.928 * [simplify]: Simplified to (- re)
4.928 * [simplify]: Simplified (2 2 1 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (- re))) re)))))
4.928 * * * * [progress]: [ 64 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt im)) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
4.928 * [simplify]: Simplifying im
4.928 * * [simplify]: iters left: 0 (1 enodes)
4.929 * * [simplify]: Extracting #0: cost 1 inf + 0
4.929 * * [simplify]: Extracting #1: cost 0 inf + 1
4.929 * [simplify]: Simplified to im
4.929 * [simplify]: Simplified (2 2 1 2 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt im)) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))
4.929 * * * * [progress]: [ 65 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt re)) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
4.929 * [simplify]: Simplifying re
4.929 * * [simplify]: iters left: 0 (1 enodes)
4.929 * * [simplify]: Extracting #0: cost 1 inf + 0
4.929 * * [simplify]: Extracting #1: cost 0 inf + 1
4.929 * [simplify]: Simplified to re
4.929 * [simplify]: Simplified (2 2 1 2 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt re)) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))
4.929 * * * * [progress]: [ 66 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* -1 re))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
4.930 * [simplify]: Simplifying (* -1 re)
4.930 * * [simplify]: iters left: 2 (3 enodes)
4.931 * * [simplify]: iters left: 1 (11 enodes)
4.934 * * [simplify]: Extracting #0: cost 1 inf + 0
4.934 * * [simplify]: Extracting #1: cost 4 inf + 0
4.934 * * [simplify]: Extracting #2: cost 0 inf + 84
4.934 * [simplify]: Simplified to (- re)
4.934 * [simplify]: Simplified (2 2 1 2 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (- re))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))
4.934 * * * * [progress]: [ 67 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt im) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
4.934 * [simplify]: Simplifying im
4.934 * * [simplify]: iters left: 0 (1 enodes)
4.935 * * [simplify]: Extracting #0: cost 1 inf + 0
4.935 * * [simplify]: Extracting #1: cost 0 inf + 1
4.935 * [simplify]: Simplified to im
4.935 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt im) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))
4.935 * * * * [progress]: [ 68 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt re) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
4.935 * [simplify]: Simplifying re
4.935 * * [simplify]: iters left: 0 (1 enodes)
4.936 * * [simplify]: Extracting #0: cost 1 inf + 0
4.936 * * [simplify]: Extracting #1: cost 0 inf + 1
4.936 * [simplify]: Simplified to re
4.936 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt re) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))
4.936 * * * * [progress]: [ 69 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (* -1 re)) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
4.936 * [simplify]: Simplifying (* -1 re)
4.936 * * [simplify]: iters left: 2 (3 enodes)
4.937 * * [simplify]: iters left: 1 (11 enodes)
4.939 * * [simplify]: Extracting #0: cost 1 inf + 0
4.939 * * [simplify]: Extracting #1: cost 4 inf + 0
4.939 * * [simplify]: Extracting #2: cost 0 inf + 84
4.939 * [simplify]: Simplified to (- re)
4.939 * [simplify]: Simplified (2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (- re)) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))
4.939 * * * * [progress]: [ 70 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))>
4.939 * [simplify]: Simplifying (+ re im)
4.939 * * [simplify]: iters left: 2 (3 enodes)
4.940 * * [simplify]: iters left: 1 (10 enodes)
4.941 * * [simplify]: Extracting #0: cost 1 inf + 0
4.941 * * [simplify]: Extracting #1: cost 4 inf + 0
4.941 * * [simplify]: Extracting #2: cost 2 inf + 2
4.941 * * [simplify]: Extracting #3: cost 0 inf + 86
4.941 * [simplify]: Simplified to (+ im re)
4.941 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))
4.941 * * * * [progress]: [ 71 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re)))))>
4.942 * [simplify]: Simplifying (* 2 re)
4.942 * * [simplify]: iters left: 2 (3 enodes)
4.943 * * [simplify]: iters left: 1 (10 enodes)
4.944 * * [simplify]: Extracting #0: cost 1 inf + 0
4.945 * * [simplify]: Extracting #1: cost 4 inf + 0
4.945 * * [simplify]: Extracting #2: cost 2 inf + 2
4.945 * * [simplify]: Extracting #3: cost 0 inf + 86
4.945 * [simplify]: Simplified to (* 2 re)
4.945 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re)))))
4.945 * * * * [progress]: [ 72 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))>
4.945 * [simplify]: Simplifying 0
4.945 * * [simplify]: iters left: 0 (1 enodes)
4.945 * * [simplify]: Extracting #0: cost 1 inf + 0
4.945 * * [simplify]: Extracting #1: cost 0 inf + 1
4.946 * [simplify]: Simplified to 0
4.946 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 0))))
4.946 * * * [progress]: adding candidates to table
5.934 * * [progress]: iteration 3 / 4
5.934 * * * [progress]: picking best candidate
5.969 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
5.969 * * * [progress]: localizing error
6.062 * * * [progress]: generating rewritten candidates
6.062 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1)
6.068 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 2 1 2 1)
6.074 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 2 1 1 2 1)
6.080 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1 2 1 1 1 1)
6.086 * * * [progress]: generating series expansions
6.086 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1)
6.086 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
6.086 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
6.086 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
6.086 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
6.086 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.086 * [taylor]: Taking taylor expansion of im in im
6.086 * [backup-simplify]: Simplify 0 into 0
6.086 * [backup-simplify]: Simplify 1 into 1
6.086 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.086 * [taylor]: Taking taylor expansion of re in im
6.086 * [backup-simplify]: Simplify re into re
6.086 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.087 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
6.087 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.087 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.087 * [backup-simplify]: Simplify (+ 0 0) into 0
6.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.087 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
6.088 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
6.088 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.088 * [taylor]: Taking taylor expansion of im in re
6.088 * [backup-simplify]: Simplify im into im
6.088 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.088 * [taylor]: Taking taylor expansion of re in re
6.088 * [backup-simplify]: Simplify 0 into 0
6.088 * [backup-simplify]: Simplify 1 into 1
6.088 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.088 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
6.088 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.088 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.088 * [backup-simplify]: Simplify (+ 0 0) into 0
6.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.089 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
6.089 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
6.089 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.089 * [taylor]: Taking taylor expansion of im in re
6.089 * [backup-simplify]: Simplify im into im
6.089 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.089 * [taylor]: Taking taylor expansion of re in re
6.089 * [backup-simplify]: Simplify 0 into 0
6.089 * [backup-simplify]: Simplify 1 into 1
6.089 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.089 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
6.089 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.089 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.090 * [backup-simplify]: Simplify (+ 0 0) into 0
6.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.090 * [taylor]: Taking taylor expansion of im in im
6.090 * [backup-simplify]: Simplify 0 into 0
6.090 * [backup-simplify]: Simplify 1 into 1
6.090 * [backup-simplify]: Simplify 0 into 0
6.090 * [taylor]: Taking taylor expansion of 0 in im
6.090 * [backup-simplify]: Simplify 0 into 0
6.090 * [backup-simplify]: Simplify 0 into 0
6.090 * [backup-simplify]: Simplify 1 into 1
6.091 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.091 * [backup-simplify]: Simplify (* 1 1) into 1
6.091 * [backup-simplify]: Simplify (+ 0 1) into 1
6.092 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.092 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
6.092 * [taylor]: Taking taylor expansion of 1/2 in im
6.092 * [backup-simplify]: Simplify 1/2 into 1/2
6.092 * [taylor]: Taking taylor expansion of im in im
6.092 * [backup-simplify]: Simplify 0 into 0
6.092 * [backup-simplify]: Simplify 1 into 1
6.093 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.094 * [backup-simplify]: Simplify 0 into 0
6.094 * [backup-simplify]: Simplify 0 into 0
6.094 * [backup-simplify]: Simplify 0 into 0
6.095 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.096 * [backup-simplify]: Simplify (+ 0 0) into 0
6.096 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.096 * [taylor]: Taking taylor expansion of 0 in im
6.096 * [backup-simplify]: Simplify 0 into 0
6.096 * [backup-simplify]: Simplify 0 into 0
6.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.097 * [backup-simplify]: Simplify 0 into 0
6.097 * [backup-simplify]: Simplify 0 into 0
6.097 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
6.097 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
6.097 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
6.097 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.098 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.098 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.098 * [taylor]: Taking taylor expansion of re in im
6.098 * [backup-simplify]: Simplify re into re
6.098 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.098 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.098 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.098 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.098 * [taylor]: Taking taylor expansion of im in im
6.098 * [backup-simplify]: Simplify 0 into 0
6.098 * [backup-simplify]: Simplify 1 into 1
6.098 * [backup-simplify]: Simplify (* 1 1) into 1
6.099 * [backup-simplify]: Simplify (/ 1 1) into 1
6.099 * [backup-simplify]: Simplify (+ 0 1) into 1
6.100 * [backup-simplify]: Simplify (sqrt 1) into 1
6.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.101 * [backup-simplify]: Simplify (+ 0 0) into 0
6.102 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.102 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.102 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.102 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.102 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.102 * [taylor]: Taking taylor expansion of re in re
6.102 * [backup-simplify]: Simplify 0 into 0
6.102 * [backup-simplify]: Simplify 1 into 1
6.103 * [backup-simplify]: Simplify (* 1 1) into 1
6.103 * [backup-simplify]: Simplify (/ 1 1) into 1
6.103 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.103 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.103 * [taylor]: Taking taylor expansion of im in re
6.103 * [backup-simplify]: Simplify im into im
6.103 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.103 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.104 * [backup-simplify]: Simplify (+ 1 0) into 1
6.104 * [backup-simplify]: Simplify (sqrt 1) into 1
6.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.105 * [backup-simplify]: Simplify (+ 0 0) into 0
6.105 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.106 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.106 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.106 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.106 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.106 * [taylor]: Taking taylor expansion of re in re
6.106 * [backup-simplify]: Simplify 0 into 0
6.106 * [backup-simplify]: Simplify 1 into 1
6.106 * [backup-simplify]: Simplify (* 1 1) into 1
6.106 * [backup-simplify]: Simplify (/ 1 1) into 1
6.106 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.106 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.106 * [taylor]: Taking taylor expansion of im in re
6.106 * [backup-simplify]: Simplify im into im
6.106 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.106 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.107 * [backup-simplify]: Simplify (+ 1 0) into 1
6.107 * [backup-simplify]: Simplify (sqrt 1) into 1
6.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.108 * [backup-simplify]: Simplify (+ 0 0) into 0
6.108 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.108 * [taylor]: Taking taylor expansion of 1 in im
6.108 * [backup-simplify]: Simplify 1 into 1
6.108 * [taylor]: Taking taylor expansion of 0 in im
6.108 * [backup-simplify]: Simplify 0 into 0
6.108 * [backup-simplify]: Simplify 1 into 1
6.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.110 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.110 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.110 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.110 * [taylor]: Taking taylor expansion of 1/2 in im
6.110 * [backup-simplify]: Simplify 1/2 into 1/2
6.110 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.110 * [taylor]: Taking taylor expansion of im in im
6.110 * [backup-simplify]: Simplify 0 into 0
6.111 * [backup-simplify]: Simplify 1 into 1
6.111 * [backup-simplify]: Simplify (* 1 1) into 1
6.111 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.112 * [backup-simplify]: Simplify 0 into 0
6.112 * [backup-simplify]: Simplify 0 into 0
6.112 * [backup-simplify]: Simplify 0 into 0
6.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.113 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.113 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.113 * [backup-simplify]: Simplify (+ 0 0) into 0
6.114 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.114 * [taylor]: Taking taylor expansion of 0 in im
6.114 * [backup-simplify]: Simplify 0 into 0
6.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.119 * [backup-simplify]: Simplify 0 into 0
6.119 * [backup-simplify]: Simplify 0 into 0
6.119 * [backup-simplify]: Simplify 0 into 0
6.119 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
6.119 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
6.119 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
6.119 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.119 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.119 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.119 * [taylor]: Taking taylor expansion of re in im
6.119 * [backup-simplify]: Simplify re into re
6.119 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.119 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.119 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.119 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.119 * [taylor]: Taking taylor expansion of im in im
6.119 * [backup-simplify]: Simplify 0 into 0
6.119 * [backup-simplify]: Simplify 1 into 1
6.120 * [backup-simplify]: Simplify (* 1 1) into 1
6.120 * [backup-simplify]: Simplify (/ 1 1) into 1
6.120 * [backup-simplify]: Simplify (+ 0 1) into 1
6.120 * [backup-simplify]: Simplify (sqrt 1) into 1
6.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.121 * [backup-simplify]: Simplify (+ 0 0) into 0
6.122 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.122 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.122 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.122 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.122 * [taylor]: Taking taylor expansion of re in re
6.122 * [backup-simplify]: Simplify 0 into 0
6.122 * [backup-simplify]: Simplify 1 into 1
6.122 * [backup-simplify]: Simplify (* 1 1) into 1
6.122 * [backup-simplify]: Simplify (/ 1 1) into 1
6.122 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.122 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.122 * [taylor]: Taking taylor expansion of im in re
6.122 * [backup-simplify]: Simplify im into im
6.122 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.123 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.123 * [backup-simplify]: Simplify (+ 1 0) into 1
6.123 * [backup-simplify]: Simplify (sqrt 1) into 1
6.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.124 * [backup-simplify]: Simplify (+ 0 0) into 0
6.124 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.124 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.125 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.125 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.125 * [taylor]: Taking taylor expansion of re in re
6.125 * [backup-simplify]: Simplify 0 into 0
6.125 * [backup-simplify]: Simplify 1 into 1
6.125 * [backup-simplify]: Simplify (* 1 1) into 1
6.125 * [backup-simplify]: Simplify (/ 1 1) into 1
6.125 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.125 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.125 * [taylor]: Taking taylor expansion of im in re
6.125 * [backup-simplify]: Simplify im into im
6.125 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.125 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.125 * [backup-simplify]: Simplify (+ 1 0) into 1
6.126 * [backup-simplify]: Simplify (sqrt 1) into 1
6.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.127 * [backup-simplify]: Simplify (+ 0 0) into 0
6.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.127 * [taylor]: Taking taylor expansion of 1 in im
6.127 * [backup-simplify]: Simplify 1 into 1
6.127 * [taylor]: Taking taylor expansion of 0 in im
6.127 * [backup-simplify]: Simplify 0 into 0
6.127 * [backup-simplify]: Simplify 1 into 1
6.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.128 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.129 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.129 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.129 * [taylor]: Taking taylor expansion of 1/2 in im
6.129 * [backup-simplify]: Simplify 1/2 into 1/2
6.129 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.129 * [taylor]: Taking taylor expansion of im in im
6.129 * [backup-simplify]: Simplify 0 into 0
6.129 * [backup-simplify]: Simplify 1 into 1
6.130 * [backup-simplify]: Simplify (* 1 1) into 1
6.130 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.131 * [backup-simplify]: Simplify 0 into 0
6.131 * [backup-simplify]: Simplify 0 into 0
6.131 * [backup-simplify]: Simplify 0 into 0
6.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.132 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.132 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.132 * [backup-simplify]: Simplify (+ 0 0) into 0
6.133 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.133 * [taylor]: Taking taylor expansion of 0 in im
6.133 * [backup-simplify]: Simplify 0 into 0
6.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.134 * [backup-simplify]: Simplify 0 into 0
6.134 * [backup-simplify]: Simplify 0 into 0
6.134 * [backup-simplify]: Simplify 0 into 0
6.134 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
6.134 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 2 1 2 1)
6.134 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
6.134 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
6.134 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
6.134 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
6.134 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.134 * [taylor]: Taking taylor expansion of im in im
6.134 * [backup-simplify]: Simplify 0 into 0
6.134 * [backup-simplify]: Simplify 1 into 1
6.134 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.134 * [taylor]: Taking taylor expansion of re in im
6.134 * [backup-simplify]: Simplify re into re
6.134 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.134 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
6.134 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.134 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.135 * [backup-simplify]: Simplify (+ 0 0) into 0
6.135 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.135 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
6.135 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
6.135 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.135 * [taylor]: Taking taylor expansion of im in re
6.135 * [backup-simplify]: Simplify im into im
6.135 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.135 * [taylor]: Taking taylor expansion of re in re
6.135 * [backup-simplify]: Simplify 0 into 0
6.135 * [backup-simplify]: Simplify 1 into 1
6.135 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.135 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
6.135 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.135 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.136 * [backup-simplify]: Simplify (+ 0 0) into 0
6.136 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.136 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
6.136 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
6.136 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.136 * [taylor]: Taking taylor expansion of im in re
6.136 * [backup-simplify]: Simplify im into im
6.136 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.136 * [taylor]: Taking taylor expansion of re in re
6.136 * [backup-simplify]: Simplify 0 into 0
6.136 * [backup-simplify]: Simplify 1 into 1
6.136 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.136 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
6.136 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.136 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.137 * [backup-simplify]: Simplify (+ 0 0) into 0
6.137 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.137 * [taylor]: Taking taylor expansion of im in im
6.137 * [backup-simplify]: Simplify 0 into 0
6.137 * [backup-simplify]: Simplify 1 into 1
6.137 * [backup-simplify]: Simplify 0 into 0
6.137 * [taylor]: Taking taylor expansion of 0 in im
6.137 * [backup-simplify]: Simplify 0 into 0
6.137 * [backup-simplify]: Simplify 0 into 0
6.137 * [backup-simplify]: Simplify 1 into 1
6.138 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.138 * [backup-simplify]: Simplify (* 1 1) into 1
6.138 * [backup-simplify]: Simplify (+ 0 1) into 1
6.139 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.139 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
6.139 * [taylor]: Taking taylor expansion of 1/2 in im
6.139 * [backup-simplify]: Simplify 1/2 into 1/2
6.139 * [taylor]: Taking taylor expansion of im in im
6.139 * [backup-simplify]: Simplify 0 into 0
6.139 * [backup-simplify]: Simplify 1 into 1
6.140 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.141 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.141 * [backup-simplify]: Simplify 0 into 0
6.141 * [backup-simplify]: Simplify 0 into 0
6.141 * [backup-simplify]: Simplify 0 into 0
6.142 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.143 * [backup-simplify]: Simplify (+ 0 0) into 0
6.143 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.143 * [taylor]: Taking taylor expansion of 0 in im
6.143 * [backup-simplify]: Simplify 0 into 0
6.143 * [backup-simplify]: Simplify 0 into 0
6.144 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.144 * [backup-simplify]: Simplify 0 into 0
6.144 * [backup-simplify]: Simplify 0 into 0
6.144 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
6.144 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
6.144 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
6.144 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.145 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.145 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.145 * [taylor]: Taking taylor expansion of re in im
6.145 * [backup-simplify]: Simplify re into re
6.145 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.145 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.145 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.145 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.145 * [taylor]: Taking taylor expansion of im in im
6.145 * [backup-simplify]: Simplify 0 into 0
6.145 * [backup-simplify]: Simplify 1 into 1
6.145 * [backup-simplify]: Simplify (* 1 1) into 1
6.146 * [backup-simplify]: Simplify (/ 1 1) into 1
6.146 * [backup-simplify]: Simplify (+ 0 1) into 1
6.146 * [backup-simplify]: Simplify (sqrt 1) into 1
6.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.148 * [backup-simplify]: Simplify (+ 0 0) into 0
6.149 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.149 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.149 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.149 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.149 * [taylor]: Taking taylor expansion of re in re
6.149 * [backup-simplify]: Simplify 0 into 0
6.149 * [backup-simplify]: Simplify 1 into 1
6.150 * [backup-simplify]: Simplify (* 1 1) into 1
6.150 * [backup-simplify]: Simplify (/ 1 1) into 1
6.150 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.150 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.150 * [taylor]: Taking taylor expansion of im in re
6.150 * [backup-simplify]: Simplify im into im
6.150 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.150 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.151 * [backup-simplify]: Simplify (+ 1 0) into 1
6.151 * [backup-simplify]: Simplify (sqrt 1) into 1
6.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.152 * [backup-simplify]: Simplify (+ 0 0) into 0
6.153 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.153 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.153 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.153 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.153 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.153 * [taylor]: Taking taylor expansion of re in re
6.153 * [backup-simplify]: Simplify 0 into 0
6.153 * [backup-simplify]: Simplify 1 into 1
6.153 * [backup-simplify]: Simplify (* 1 1) into 1
6.153 * [backup-simplify]: Simplify (/ 1 1) into 1
6.153 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.153 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.153 * [taylor]: Taking taylor expansion of im in re
6.153 * [backup-simplify]: Simplify im into im
6.153 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.153 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.154 * [backup-simplify]: Simplify (+ 1 0) into 1
6.154 * [backup-simplify]: Simplify (sqrt 1) into 1
6.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.155 * [backup-simplify]: Simplify (+ 0 0) into 0
6.155 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.155 * [taylor]: Taking taylor expansion of 1 in im
6.155 * [backup-simplify]: Simplify 1 into 1
6.155 * [taylor]: Taking taylor expansion of 0 in im
6.155 * [backup-simplify]: Simplify 0 into 0
6.155 * [backup-simplify]: Simplify 1 into 1
6.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.157 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.157 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.157 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.158 * [taylor]: Taking taylor expansion of 1/2 in im
6.158 * [backup-simplify]: Simplify 1/2 into 1/2
6.158 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.158 * [taylor]: Taking taylor expansion of im in im
6.158 * [backup-simplify]: Simplify 0 into 0
6.158 * [backup-simplify]: Simplify 1 into 1
6.158 * [backup-simplify]: Simplify (* 1 1) into 1
6.158 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.159 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.159 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.159 * [backup-simplify]: Simplify 0 into 0
6.159 * [backup-simplify]: Simplify 0 into 0
6.159 * [backup-simplify]: Simplify 0 into 0
6.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.160 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.161 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.161 * [backup-simplify]: Simplify (+ 0 0) into 0
6.161 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.161 * [taylor]: Taking taylor expansion of 0 in im
6.161 * [backup-simplify]: Simplify 0 into 0
6.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.162 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.162 * [backup-simplify]: Simplify 0 into 0
6.162 * [backup-simplify]: Simplify 0 into 0
6.162 * [backup-simplify]: Simplify 0 into 0
6.162 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
6.163 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
6.163 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
6.163 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.163 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.163 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.163 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.163 * [taylor]: Taking taylor expansion of re in im
6.163 * [backup-simplify]: Simplify re into re
6.163 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.163 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.163 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.163 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.163 * [taylor]: Taking taylor expansion of im in im
6.163 * [backup-simplify]: Simplify 0 into 0
6.163 * [backup-simplify]: Simplify 1 into 1
6.163 * [backup-simplify]: Simplify (* 1 1) into 1
6.163 * [backup-simplify]: Simplify (/ 1 1) into 1
6.164 * [backup-simplify]: Simplify (+ 0 1) into 1
6.164 * [backup-simplify]: Simplify (sqrt 1) into 1
6.164 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.165 * [backup-simplify]: Simplify (+ 0 0) into 0
6.165 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.165 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.165 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.165 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.165 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.165 * [taylor]: Taking taylor expansion of re in re
6.165 * [backup-simplify]: Simplify 0 into 0
6.165 * [backup-simplify]: Simplify 1 into 1
6.166 * [backup-simplify]: Simplify (* 1 1) into 1
6.166 * [backup-simplify]: Simplify (/ 1 1) into 1
6.166 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.166 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.166 * [taylor]: Taking taylor expansion of im in re
6.166 * [backup-simplify]: Simplify im into im
6.166 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.166 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.166 * [backup-simplify]: Simplify (+ 1 0) into 1
6.167 * [backup-simplify]: Simplify (sqrt 1) into 1
6.167 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.168 * [backup-simplify]: Simplify (+ 0 0) into 0
6.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.168 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.168 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.168 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.168 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.168 * [taylor]: Taking taylor expansion of re in re
6.168 * [backup-simplify]: Simplify 0 into 0
6.168 * [backup-simplify]: Simplify 1 into 1
6.168 * [backup-simplify]: Simplify (* 1 1) into 1
6.169 * [backup-simplify]: Simplify (/ 1 1) into 1
6.169 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.169 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.169 * [taylor]: Taking taylor expansion of im in re
6.169 * [backup-simplify]: Simplify im into im
6.169 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.169 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.169 * [backup-simplify]: Simplify (+ 1 0) into 1
6.169 * [backup-simplify]: Simplify (sqrt 1) into 1
6.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.170 * [backup-simplify]: Simplify (+ 0 0) into 0
6.171 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.171 * [taylor]: Taking taylor expansion of 1 in im
6.171 * [backup-simplify]: Simplify 1 into 1
6.171 * [taylor]: Taking taylor expansion of 0 in im
6.171 * [backup-simplify]: Simplify 0 into 0
6.171 * [backup-simplify]: Simplify 1 into 1
6.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.172 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.173 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.173 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.173 * [taylor]: Taking taylor expansion of 1/2 in im
6.173 * [backup-simplify]: Simplify 1/2 into 1/2
6.173 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.173 * [taylor]: Taking taylor expansion of im in im
6.173 * [backup-simplify]: Simplify 0 into 0
6.173 * [backup-simplify]: Simplify 1 into 1
6.173 * [backup-simplify]: Simplify (* 1 1) into 1
6.174 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.174 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.175 * [backup-simplify]: Simplify 0 into 0
6.175 * [backup-simplify]: Simplify 0 into 0
6.175 * [backup-simplify]: Simplify 0 into 0
6.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.176 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.176 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.176 * [backup-simplify]: Simplify (+ 0 0) into 0
6.177 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.177 * [taylor]: Taking taylor expansion of 0 in im
6.177 * [backup-simplify]: Simplify 0 into 0
6.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.178 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.178 * [backup-simplify]: Simplify 0 into 0
6.178 * [backup-simplify]: Simplify 0 into 0
6.178 * [backup-simplify]: Simplify 0 into 0
6.178 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
6.178 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 2 1 1 2 1)
6.178 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
6.178 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
6.178 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
6.178 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
6.178 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.178 * [taylor]: Taking taylor expansion of im in im
6.178 * [backup-simplify]: Simplify 0 into 0
6.178 * [backup-simplify]: Simplify 1 into 1
6.178 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.178 * [taylor]: Taking taylor expansion of re in im
6.178 * [backup-simplify]: Simplify re into re
6.178 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.178 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
6.178 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.178 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.179 * [backup-simplify]: Simplify (+ 0 0) into 0
6.179 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.179 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
6.179 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
6.179 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.179 * [taylor]: Taking taylor expansion of im in re
6.179 * [backup-simplify]: Simplify im into im
6.179 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.179 * [taylor]: Taking taylor expansion of re in re
6.179 * [backup-simplify]: Simplify 0 into 0
6.179 * [backup-simplify]: Simplify 1 into 1
6.179 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.179 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
6.179 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.179 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.179 * [backup-simplify]: Simplify (+ 0 0) into 0
6.179 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.179 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
6.179 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
6.179 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.179 * [taylor]: Taking taylor expansion of im in re
6.179 * [backup-simplify]: Simplify im into im
6.179 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.179 * [taylor]: Taking taylor expansion of re in re
6.179 * [backup-simplify]: Simplify 0 into 0
6.179 * [backup-simplify]: Simplify 1 into 1
6.180 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.180 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
6.180 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.180 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.180 * [backup-simplify]: Simplify (+ 0 0) into 0
6.180 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.180 * [taylor]: Taking taylor expansion of im in im
6.180 * [backup-simplify]: Simplify 0 into 0
6.180 * [backup-simplify]: Simplify 1 into 1
6.180 * [backup-simplify]: Simplify 0 into 0
6.180 * [taylor]: Taking taylor expansion of 0 in im
6.180 * [backup-simplify]: Simplify 0 into 0
6.180 * [backup-simplify]: Simplify 0 into 0
6.180 * [backup-simplify]: Simplify 1 into 1
6.181 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.181 * [backup-simplify]: Simplify (* 1 1) into 1
6.181 * [backup-simplify]: Simplify (+ 0 1) into 1
6.181 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.182 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
6.182 * [taylor]: Taking taylor expansion of 1/2 in im
6.182 * [backup-simplify]: Simplify 1/2 into 1/2
6.182 * [taylor]: Taking taylor expansion of im in im
6.182 * [backup-simplify]: Simplify 0 into 0
6.182 * [backup-simplify]: Simplify 1 into 1
6.182 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.182 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.182 * [backup-simplify]: Simplify 0 into 0
6.182 * [backup-simplify]: Simplify 0 into 0
6.182 * [backup-simplify]: Simplify 0 into 0
6.183 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.184 * [backup-simplify]: Simplify (+ 0 0) into 0
6.184 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.184 * [taylor]: Taking taylor expansion of 0 in im
6.184 * [backup-simplify]: Simplify 0 into 0
6.184 * [backup-simplify]: Simplify 0 into 0
6.185 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.185 * [backup-simplify]: Simplify 0 into 0
6.185 * [backup-simplify]: Simplify 0 into 0
6.185 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
6.185 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
6.185 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
6.185 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.186 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.186 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.186 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.186 * [taylor]: Taking taylor expansion of re in im
6.186 * [backup-simplify]: Simplify re into re
6.186 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.186 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.186 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.186 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.186 * [taylor]: Taking taylor expansion of im in im
6.186 * [backup-simplify]: Simplify 0 into 0
6.186 * [backup-simplify]: Simplify 1 into 1
6.186 * [backup-simplify]: Simplify (* 1 1) into 1
6.187 * [backup-simplify]: Simplify (/ 1 1) into 1
6.187 * [backup-simplify]: Simplify (+ 0 1) into 1
6.187 * [backup-simplify]: Simplify (sqrt 1) into 1
6.188 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.189 * [backup-simplify]: Simplify (+ 0 0) into 0
6.190 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.190 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.190 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.190 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.190 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.190 * [taylor]: Taking taylor expansion of re in re
6.190 * [backup-simplify]: Simplify 0 into 0
6.190 * [backup-simplify]: Simplify 1 into 1
6.190 * [backup-simplify]: Simplify (* 1 1) into 1
6.191 * [backup-simplify]: Simplify (/ 1 1) into 1
6.191 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.191 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.191 * [taylor]: Taking taylor expansion of im in re
6.191 * [backup-simplify]: Simplify im into im
6.191 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.191 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.192 * [backup-simplify]: Simplify (+ 1 0) into 1
6.192 * [backup-simplify]: Simplify (sqrt 1) into 1
6.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.194 * [backup-simplify]: Simplify (+ 0 0) into 0
6.194 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.194 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.194 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.194 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.194 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.194 * [taylor]: Taking taylor expansion of re in re
6.195 * [backup-simplify]: Simplify 0 into 0
6.195 * [backup-simplify]: Simplify 1 into 1
6.195 * [backup-simplify]: Simplify (* 1 1) into 1
6.195 * [backup-simplify]: Simplify (/ 1 1) into 1
6.195 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.195 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.195 * [taylor]: Taking taylor expansion of im in re
6.195 * [backup-simplify]: Simplify im into im
6.195 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.196 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.196 * [backup-simplify]: Simplify (+ 1 0) into 1
6.196 * [backup-simplify]: Simplify (sqrt 1) into 1
6.197 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.198 * [backup-simplify]: Simplify (+ 0 0) into 0
6.199 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.199 * [taylor]: Taking taylor expansion of 1 in im
6.199 * [backup-simplify]: Simplify 1 into 1
6.199 * [taylor]: Taking taylor expansion of 0 in im
6.199 * [backup-simplify]: Simplify 0 into 0
6.199 * [backup-simplify]: Simplify 1 into 1
6.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.201 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.202 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.202 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.202 * [taylor]: Taking taylor expansion of 1/2 in im
6.202 * [backup-simplify]: Simplify 1/2 into 1/2
6.202 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.202 * [taylor]: Taking taylor expansion of im in im
6.202 * [backup-simplify]: Simplify 0 into 0
6.202 * [backup-simplify]: Simplify 1 into 1
6.203 * [backup-simplify]: Simplify (* 1 1) into 1
6.203 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.204 * [backup-simplify]: Simplify 0 into 0
6.205 * [backup-simplify]: Simplify 0 into 0
6.205 * [backup-simplify]: Simplify 0 into 0
6.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.207 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.207 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.207 * [backup-simplify]: Simplify (+ 0 0) into 0
6.208 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.208 * [taylor]: Taking taylor expansion of 0 in im
6.208 * [backup-simplify]: Simplify 0 into 0
6.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.211 * [backup-simplify]: Simplify 0 into 0
6.211 * [backup-simplify]: Simplify 0 into 0
6.211 * [backup-simplify]: Simplify 0 into 0
6.211 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
6.211 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
6.211 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
6.211 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.211 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.211 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.211 * [taylor]: Taking taylor expansion of re in im
6.211 * [backup-simplify]: Simplify re into re
6.212 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.212 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.212 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.212 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.212 * [taylor]: Taking taylor expansion of im in im
6.212 * [backup-simplify]: Simplify 0 into 0
6.212 * [backup-simplify]: Simplify 1 into 1
6.212 * [backup-simplify]: Simplify (* 1 1) into 1
6.212 * [backup-simplify]: Simplify (/ 1 1) into 1
6.213 * [backup-simplify]: Simplify (+ 0 1) into 1
6.213 * [backup-simplify]: Simplify (sqrt 1) into 1
6.214 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.215 * [backup-simplify]: Simplify (+ 0 0) into 0
6.216 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.216 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.216 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.216 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.216 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.216 * [taylor]: Taking taylor expansion of re in re
6.216 * [backup-simplify]: Simplify 0 into 0
6.216 * [backup-simplify]: Simplify 1 into 1
6.216 * [backup-simplify]: Simplify (* 1 1) into 1
6.217 * [backup-simplify]: Simplify (/ 1 1) into 1
6.217 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.217 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.217 * [taylor]: Taking taylor expansion of im in re
6.217 * [backup-simplify]: Simplify im into im
6.217 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.217 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.217 * [backup-simplify]: Simplify (+ 1 0) into 1
6.218 * [backup-simplify]: Simplify (sqrt 1) into 1
6.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.219 * [backup-simplify]: Simplify (+ 0 0) into 0
6.220 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.220 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.220 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.220 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.220 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.220 * [taylor]: Taking taylor expansion of re in re
6.220 * [backup-simplify]: Simplify 0 into 0
6.220 * [backup-simplify]: Simplify 1 into 1
6.220 * [backup-simplify]: Simplify (* 1 1) into 1
6.220 * [backup-simplify]: Simplify (/ 1 1) into 1
6.220 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.220 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.220 * [taylor]: Taking taylor expansion of im in re
6.220 * [backup-simplify]: Simplify im into im
6.220 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.220 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.221 * [backup-simplify]: Simplify (+ 1 0) into 1
6.221 * [backup-simplify]: Simplify (sqrt 1) into 1
6.221 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.222 * [backup-simplify]: Simplify (+ 0 0) into 0
6.222 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.222 * [taylor]: Taking taylor expansion of 1 in im
6.222 * [backup-simplify]: Simplify 1 into 1
6.222 * [taylor]: Taking taylor expansion of 0 in im
6.223 * [backup-simplify]: Simplify 0 into 0
6.223 * [backup-simplify]: Simplify 1 into 1
6.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.224 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.224 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.224 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.224 * [taylor]: Taking taylor expansion of 1/2 in im
6.224 * [backup-simplify]: Simplify 1/2 into 1/2
6.224 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.225 * [taylor]: Taking taylor expansion of im in im
6.225 * [backup-simplify]: Simplify 0 into 0
6.225 * [backup-simplify]: Simplify 1 into 1
6.225 * [backup-simplify]: Simplify (* 1 1) into 1
6.225 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.226 * [backup-simplify]: Simplify 0 into 0
6.226 * [backup-simplify]: Simplify 0 into 0
6.226 * [backup-simplify]: Simplify 0 into 0
6.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.229 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.230 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.230 * [backup-simplify]: Simplify (+ 0 0) into 0
6.230 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.230 * [taylor]: Taking taylor expansion of 0 in im
6.230 * [backup-simplify]: Simplify 0 into 0
6.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.231 * [backup-simplify]: Simplify 0 into 0
6.231 * [backup-simplify]: Simplify 0 into 0
6.231 * [backup-simplify]: Simplify 0 into 0
6.231 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
6.232 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1 2 1 1 1 1)
6.232 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
6.232 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
6.232 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
6.232 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
6.232 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.232 * [taylor]: Taking taylor expansion of im in im
6.232 * [backup-simplify]: Simplify 0 into 0
6.232 * [backup-simplify]: Simplify 1 into 1
6.232 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.232 * [taylor]: Taking taylor expansion of re in im
6.232 * [backup-simplify]: Simplify re into re
6.232 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.232 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
6.232 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.232 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.232 * [backup-simplify]: Simplify (+ 0 0) into 0
6.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.232 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
6.232 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
6.232 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.232 * [taylor]: Taking taylor expansion of im in re
6.232 * [backup-simplify]: Simplify im into im
6.232 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.232 * [taylor]: Taking taylor expansion of re in re
6.233 * [backup-simplify]: Simplify 0 into 0
6.233 * [backup-simplify]: Simplify 1 into 1
6.233 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.233 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
6.233 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.233 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.233 * [backup-simplify]: Simplify (+ 0 0) into 0
6.233 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.233 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
6.233 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
6.233 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.233 * [taylor]: Taking taylor expansion of im in re
6.233 * [backup-simplify]: Simplify im into im
6.233 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.233 * [taylor]: Taking taylor expansion of re in re
6.233 * [backup-simplify]: Simplify 0 into 0
6.233 * [backup-simplify]: Simplify 1 into 1
6.233 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.233 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
6.233 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.233 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.234 * [backup-simplify]: Simplify (+ 0 0) into 0
6.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.234 * [taylor]: Taking taylor expansion of im in im
6.234 * [backup-simplify]: Simplify 0 into 0
6.234 * [backup-simplify]: Simplify 1 into 1
6.234 * [backup-simplify]: Simplify 0 into 0
6.234 * [taylor]: Taking taylor expansion of 0 in im
6.234 * [backup-simplify]: Simplify 0 into 0
6.234 * [backup-simplify]: Simplify 0 into 0
6.234 * [backup-simplify]: Simplify 1 into 1
6.234 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.235 * [backup-simplify]: Simplify (* 1 1) into 1
6.235 * [backup-simplify]: Simplify (+ 0 1) into 1
6.235 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.235 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
6.236 * [taylor]: Taking taylor expansion of 1/2 in im
6.236 * [backup-simplify]: Simplify 1/2 into 1/2
6.236 * [taylor]: Taking taylor expansion of im in im
6.236 * [backup-simplify]: Simplify 0 into 0
6.236 * [backup-simplify]: Simplify 1 into 1
6.236 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.236 * [backup-simplify]: Simplify 0 into 0
6.236 * [backup-simplify]: Simplify 0 into 0
6.236 * [backup-simplify]: Simplify 0 into 0
6.237 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.238 * [backup-simplify]: Simplify (+ 0 0) into 0
6.238 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.238 * [taylor]: Taking taylor expansion of 0 in im
6.238 * [backup-simplify]: Simplify 0 into 0
6.238 * [backup-simplify]: Simplify 0 into 0
6.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.238 * [backup-simplify]: Simplify 0 into 0
6.238 * [backup-simplify]: Simplify 0 into 0
6.238 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
6.239 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
6.239 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
6.239 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.239 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.239 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.239 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.239 * [taylor]: Taking taylor expansion of re in im
6.239 * [backup-simplify]: Simplify re into re
6.239 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.239 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.239 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.239 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.239 * [taylor]: Taking taylor expansion of im in im
6.239 * [backup-simplify]: Simplify 0 into 0
6.239 * [backup-simplify]: Simplify 1 into 1
6.239 * [backup-simplify]: Simplify (* 1 1) into 1
6.239 * [backup-simplify]: Simplify (/ 1 1) into 1
6.240 * [backup-simplify]: Simplify (+ 0 1) into 1
6.240 * [backup-simplify]: Simplify (sqrt 1) into 1
6.240 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.241 * [backup-simplify]: Simplify (+ 0 0) into 0
6.242 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.242 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.242 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.242 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.242 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.242 * [taylor]: Taking taylor expansion of re in re
6.242 * [backup-simplify]: Simplify 0 into 0
6.242 * [backup-simplify]: Simplify 1 into 1
6.242 * [backup-simplify]: Simplify (* 1 1) into 1
6.242 * [backup-simplify]: Simplify (/ 1 1) into 1
6.242 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.242 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.242 * [taylor]: Taking taylor expansion of im in re
6.242 * [backup-simplify]: Simplify im into im
6.242 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.242 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.243 * [backup-simplify]: Simplify (+ 1 0) into 1
6.243 * [backup-simplify]: Simplify (sqrt 1) into 1
6.243 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.244 * [backup-simplify]: Simplify (+ 0 0) into 0
6.244 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.244 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.244 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.244 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.244 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.244 * [taylor]: Taking taylor expansion of re in re
6.244 * [backup-simplify]: Simplify 0 into 0
6.244 * [backup-simplify]: Simplify 1 into 1
6.245 * [backup-simplify]: Simplify (* 1 1) into 1
6.245 * [backup-simplify]: Simplify (/ 1 1) into 1
6.245 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.245 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.245 * [taylor]: Taking taylor expansion of im in re
6.245 * [backup-simplify]: Simplify im into im
6.245 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.245 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.245 * [backup-simplify]: Simplify (+ 1 0) into 1
6.246 * [backup-simplify]: Simplify (sqrt 1) into 1
6.246 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.247 * [backup-simplify]: Simplify (+ 0 0) into 0
6.247 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.247 * [taylor]: Taking taylor expansion of 1 in im
6.247 * [backup-simplify]: Simplify 1 into 1
6.247 * [taylor]: Taking taylor expansion of 0 in im
6.247 * [backup-simplify]: Simplify 0 into 0
6.247 * [backup-simplify]: Simplify 1 into 1
6.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.248 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.249 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.249 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.249 * [taylor]: Taking taylor expansion of 1/2 in im
6.249 * [backup-simplify]: Simplify 1/2 into 1/2
6.249 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.249 * [taylor]: Taking taylor expansion of im in im
6.249 * [backup-simplify]: Simplify 0 into 0
6.249 * [backup-simplify]: Simplify 1 into 1
6.250 * [backup-simplify]: Simplify (* 1 1) into 1
6.250 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.250 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.251 * [backup-simplify]: Simplify 0 into 0
6.251 * [backup-simplify]: Simplify 0 into 0
6.251 * [backup-simplify]: Simplify 0 into 0
6.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.253 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.253 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.253 * [backup-simplify]: Simplify (+ 0 0) into 0
6.254 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.254 * [taylor]: Taking taylor expansion of 0 in im
6.254 * [backup-simplify]: Simplify 0 into 0
6.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.256 * [backup-simplify]: Simplify 0 into 0
6.256 * [backup-simplify]: Simplify 0 into 0
6.256 * [backup-simplify]: Simplify 0 into 0
6.256 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
6.256 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
6.256 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
6.256 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.256 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.257 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.257 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.257 * [taylor]: Taking taylor expansion of re in im
6.257 * [backup-simplify]: Simplify re into re
6.257 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.257 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.257 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.257 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.257 * [taylor]: Taking taylor expansion of im in im
6.257 * [backup-simplify]: Simplify 0 into 0
6.257 * [backup-simplify]: Simplify 1 into 1
6.257 * [backup-simplify]: Simplify (* 1 1) into 1
6.258 * [backup-simplify]: Simplify (/ 1 1) into 1
6.258 * [backup-simplify]: Simplify (+ 0 1) into 1
6.259 * [backup-simplify]: Simplify (sqrt 1) into 1
6.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.260 * [backup-simplify]: Simplify (+ 0 0) into 0
6.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.261 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.261 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.261 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.261 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.261 * [taylor]: Taking taylor expansion of re in re
6.261 * [backup-simplify]: Simplify 0 into 0
6.261 * [backup-simplify]: Simplify 1 into 1
6.262 * [backup-simplify]: Simplify (* 1 1) into 1
6.262 * [backup-simplify]: Simplify (/ 1 1) into 1
6.262 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.262 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.262 * [taylor]: Taking taylor expansion of im in re
6.262 * [backup-simplify]: Simplify im into im
6.262 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.262 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.263 * [backup-simplify]: Simplify (+ 1 0) into 1
6.263 * [backup-simplify]: Simplify (sqrt 1) into 1
6.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.265 * [backup-simplify]: Simplify (+ 0 0) into 0
6.265 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.265 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.266 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.266 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.266 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.266 * [taylor]: Taking taylor expansion of re in re
6.266 * [backup-simplify]: Simplify 0 into 0
6.266 * [backup-simplify]: Simplify 1 into 1
6.266 * [backup-simplify]: Simplify (* 1 1) into 1
6.266 * [backup-simplify]: Simplify (/ 1 1) into 1
6.266 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.266 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.266 * [taylor]: Taking taylor expansion of im in re
6.266 * [backup-simplify]: Simplify im into im
6.267 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.267 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.267 * [backup-simplify]: Simplify (+ 1 0) into 1
6.267 * [backup-simplify]: Simplify (sqrt 1) into 1
6.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.270 * [backup-simplify]: Simplify (+ 0 0) into 0
6.270 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.270 * [taylor]: Taking taylor expansion of 1 in im
6.270 * [backup-simplify]: Simplify 1 into 1
6.270 * [taylor]: Taking taylor expansion of 0 in im
6.270 * [backup-simplify]: Simplify 0 into 0
6.270 * [backup-simplify]: Simplify 1 into 1
6.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.272 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.274 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.274 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.274 * [taylor]: Taking taylor expansion of 1/2 in im
6.274 * [backup-simplify]: Simplify 1/2 into 1/2
6.274 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.274 * [taylor]: Taking taylor expansion of im in im
6.274 * [backup-simplify]: Simplify 0 into 0
6.274 * [backup-simplify]: Simplify 1 into 1
6.274 * [backup-simplify]: Simplify (* 1 1) into 1
6.275 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.276 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.276 * [backup-simplify]: Simplify 0 into 0
6.276 * [backup-simplify]: Simplify 0 into 0
6.276 * [backup-simplify]: Simplify 0 into 0
6.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.278 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.278 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.279 * [backup-simplify]: Simplify (+ 0 0) into 0
6.279 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.279 * [taylor]: Taking taylor expansion of 0 in im
6.279 * [backup-simplify]: Simplify 0 into 0
6.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.281 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.282 * [backup-simplify]: Simplify 0 into 0
6.282 * [backup-simplify]: Simplify 0 into 0
6.282 * [backup-simplify]: Simplify 0 into 0
6.282 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
6.282 * * * [progress]: simplifying candidates
6.282 * * * * [progress]: [ 1 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (pow (+ (* re re) (* im im)) 1/2))) re)))))>
6.282 * * * * [progress]: [ 2 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (pow (sqrt (+ (* re re) (* im im))) 1))) re)))))>
6.282 * * * * [progress]: [ 3 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)))))>
6.282 * * * * [progress]: [ 4 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (log (exp (sqrt (+ (* re re) (* im im))))))) re)))))>
6.283 * * * * [progress]: [ 5 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
6.283 * * * * [progress]: [ 6 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (cbrt (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))))) re)))))>
6.283 * * * * [progress]: [ 7 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im))))))) re)))))>
6.283 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
6.283 * * [simplify]: iters left: 6 (8 enodes)
6.287 * * [simplify]: iters left: 5 (26 enodes)
6.293 * * [simplify]: Extracting #0: cost 1 inf + 0
6.294 * * [simplify]: Extracting #1: cost 4 inf + 0
6.294 * * [simplify]: Extracting #2: cost 7 inf + 0
6.294 * * [simplify]: Extracting #3: cost 10 inf + 0
6.294 * * [simplify]: Extracting #4: cost 14 inf + 0
6.294 * * [simplify]: Extracting #5: cost 10 inf + 84
6.294 * * [simplify]: Extracting #6: cost 8 inf + 166
6.294 * * [simplify]: Extracting #7: cost 4 inf + 854
6.295 * * [simplify]: Extracting #8: cost 1 inf + 1540
6.295 * * [simplify]: Extracting #9: cost 0 inf + 1782
6.296 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im))))
6.296 * [simplify]: Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) re)))))
6.296 * * * * [progress]: [ 8 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
6.296 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im))))
6.297 * * [simplify]: iters left: 6 (7 enodes)
6.300 * * [simplify]: iters left: 5 (22 enodes)
6.305 * * [simplify]: Extracting #0: cost 1 inf + 0
6.305 * * [simplify]: Extracting #1: cost 3 inf + 0
6.305 * * [simplify]: Extracting #2: cost 5 inf + 0
6.306 * * [simplify]: Extracting #3: cost 8 inf + 0
6.306 * * [simplify]: Extracting #4: cost 12 inf + 0
6.306 * * [simplify]: Extracting #5: cost 10 inf + 2
6.306 * * [simplify]: Extracting #6: cost 1 inf + 936
6.306 * * [simplify]: Extracting #7: cost 0 inf + 1138
6.307 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im))))
6.307 * [simplify]: Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))
6.307 * * * * [progress]: [ 9 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (sqrt 1) (sqrt (+ (* re re) (* im im)))))) re)))))>
6.308 * [simplify]: Simplifying (sqrt 1)
6.308 * * [simplify]: iters left: 1 (2 enodes)
6.311 * * [simplify]: Extracting #0: cost 1 inf + 0
6.311 * * [simplify]: Extracting #1: cost 0 inf + 1
6.311 * [simplify]: Simplified to 1
6.311 * [simplify]: Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* 1 (sqrt (+ (* re re) (* im im)))))) re)))))
6.311 * * * * [progress]: [ 10 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (/ (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))) re)))))>
6.312 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
6.312 * * [simplify]: iters left: 6 (9 enodes)
6.317 * * [simplify]: iters left: 5 (45 enodes)
6.329 * * [simplify]: iters left: 4 (100 enodes)
6.359 * * [simplify]: iters left: 3 (201 enodes)
6.414 * * [simplify]: iters left: 2 (406 enodes)
6.557 * * [simplify]: Extracting #0: cost 1 inf + 0
6.557 * * [simplify]: Extracting #1: cost 3 inf + 0
6.557 * * [simplify]: Extracting #2: cost 6 inf + 0
6.557 * * [simplify]: Extracting #3: cost 62 inf + 0
6.558 * * [simplify]: Extracting #4: cost 166 inf + 460
6.561 * * [simplify]: Extracting #5: cost 131 inf + 12951
6.568 * * [simplify]: Extracting #6: cost 49 inf + 45746
6.578 * * [simplify]: Extracting #7: cost 1 inf + 66256
6.588 * * [simplify]: Extracting #8: cost 0 inf + 65919
6.599 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im)))))
6.599 * [simplify]: Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (/ (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))) re)))))
6.599 * * * * [progress]: [ 11 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))))) re)))))>
6.600 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
6.600 * * [simplify]: iters left: 6 (8 enodes)
6.604 * * [simplify]: iters left: 5 (37 enodes)
6.617 * * [simplify]: iters left: 4 (67 enodes)
6.639 * * [simplify]: iters left: 3 (123 enodes)
6.671 * * [simplify]: iters left: 2 (278 enodes)
6.791 * * [simplify]: Extracting #0: cost 1 inf + 0
6.791 * * [simplify]: Extracting #1: cost 3 inf + 0
6.792 * * [simplify]: Extracting #2: cost 50 inf + 0
6.792 * * [simplify]: Extracting #3: cost 150 inf + 0
6.793 * * [simplify]: Extracting #4: cost 194 inf + 1180
6.795 * * [simplify]: Extracting #5: cost 123 inf + 12421
6.801 * * [simplify]: Extracting #6: cost 12 inf + 33804
6.808 * * [simplify]: Extracting #7: cost 0 inf + 36129
6.818 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
6.819 * [simplify]: Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))))) re)))))
6.819 * * * * [progress]: [ 12 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (pow (+ (* re re) (* im im)) (/ 1 2)))) re)))))>
6.819 * [simplify]: Simplifying (+ (* re re) (* im im))
6.819 * * [simplify]: iters left: 4 (5 enodes)
6.821 * * [simplify]: iters left: 3 (16 enodes)
6.823 * * [simplify]: Extracting #0: cost 1 inf + 0
6.823 * * [simplify]: Extracting #1: cost 4 inf + 0
6.823 * * [simplify]: Extracting #2: cost 8 inf + 0
6.823 * * [simplify]: Extracting #3: cost 4 inf + 84
6.823 * * [simplify]: Extracting #4: cost 0 inf + 410
6.823 * [simplify]: Simplified to (+ (* re re) (* im im))
6.823 * [simplify]: Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (pow (+ (* re re) (* im im)) (/ 1 2)))) re)))))
6.823 * * * * [progress]: [ 13 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
6.823 * * * * [progress]: [ 14 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (fabs (sqrt (+ (* re re) (* im im)))))) re)))))>
6.824 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im)))
6.824 * * [simplify]: iters left: 5 (6 enodes)
6.827 * * [simplify]: iters left: 4 (19 enodes)
6.829 * * [simplify]: Extracting #0: cost 1 inf + 0
6.829 * * [simplify]: Extracting #1: cost 3 inf + 0
6.829 * * [simplify]: Extracting #2: cost 6 inf + 0
6.829 * * [simplify]: Extracting #3: cost 10 inf + 0
6.830 * * [simplify]: Extracting #4: cost 6 inf + 84
6.830 * * [simplify]: Extracting #5: cost 0 inf + 734
6.830 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im)))
6.830 * [simplify]: Simplified (2 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (fabs (sqrt (+ (* re re) (* im im)))))) re)))))
6.830 * * * * [progress]: [ 15 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* 1 (sqrt (+ (* re re) (* im im)))))) re)))))>
6.830 * * * * [progress]: [ 16 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (posit16->real (real->posit16 (sqrt (+ (* re re) (* im im))))))) re)))))>
6.830 * * * * [progress]: [ 17 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (pow (+ (* re re) (* im im)) 1/2))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
6.830 * * * * [progress]: [ 18 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (pow (sqrt (+ (* re re) (* im im))) 1))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
6.830 * * * * [progress]: [ 19 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
6.830 * * * * [progress]: [ 20 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (log (exp (sqrt (+ (* re re) (* im im))))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
6.830 * * * * [progress]: [ 21 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
6.830 * * * * [progress]: [ 22 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (cbrt (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
6.831 * * * * [progress]: [ 23 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (* (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im))))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
6.831 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
6.831 * * [simplify]: iters left: 6 (8 enodes)
6.832 * * [simplify]: iters left: 5 (26 enodes)
6.836 * * [simplify]: Extracting #0: cost 1 inf + 0
6.836 * * [simplify]: Extracting #1: cost 4 inf + 0
6.836 * * [simplify]: Extracting #2: cost 7 inf + 0
6.836 * * [simplify]: Extracting #3: cost 10 inf + 0
6.836 * * [simplify]: Extracting #4: cost 14 inf + 0
6.836 * * [simplify]: Extracting #5: cost 10 inf + 84
6.836 * * [simplify]: Extracting #6: cost 8 inf + 166
6.836 * * [simplify]: Extracting #7: cost 4 inf + 854
6.836 * * [simplify]: Extracting #8: cost 1 inf + 1540
6.837 * * [simplify]: Extracting #9: cost 0 inf + 1782
6.837 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im))))
6.837 * [simplify]: Simplified (2 2 1 2 1 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))
6.837 * * * * [progress]: [ 24 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
6.837 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im))))
6.838 * * [simplify]: iters left: 6 (7 enodes)
6.839 * * [simplify]: iters left: 5 (22 enodes)
6.842 * * [simplify]: Extracting #0: cost 1 inf + 0
6.842 * * [simplify]: Extracting #1: cost 3 inf + 0
6.842 * * [simplify]: Extracting #2: cost 5 inf + 0
6.842 * * [simplify]: Extracting #3: cost 8 inf + 0
6.842 * * [simplify]: Extracting #4: cost 12 inf + 0
6.842 * * [simplify]: Extracting #5: cost 10 inf + 2
6.842 * * [simplify]: Extracting #6: cost 1 inf + 936
6.842 * * [simplify]: Extracting #7: cost 0 inf + 1138
6.842 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im))))
6.843 * [simplify]: Simplified (2 2 1 2 1 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))
6.843 * * * * [progress]: [ 25 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (* (sqrt 1) (sqrt (+ (* re re) (* im im)))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
6.843 * [simplify]: Simplifying (sqrt 1)
6.843 * * [simplify]: iters left: 1 (2 enodes)
6.845 * * [simplify]: Extracting #0: cost 1 inf + 0
6.845 * * [simplify]: Extracting #1: cost 0 inf + 1
6.845 * [simplify]: Simplified to 1
6.845 * [simplify]: Simplified (2 2 1 2 1 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (* 1 (sqrt (+ (* re re) (* im im)))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))
6.845 * * * * [progress]: [ 26 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (/ (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
6.846 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
6.846 * * [simplify]: iters left: 6 (9 enodes)
6.849 * * [simplify]: iters left: 5 (45 enodes)
6.859 * * [simplify]: iters left: 4 (100 enodes)
6.904 * * [simplify]: iters left: 3 (201 enodes)
6.988 * * [simplify]: iters left: 2 (406 enodes)
7.185 * * [simplify]: Extracting #0: cost 1 inf + 0
7.185 * * [simplify]: Extracting #1: cost 3 inf + 0
7.185 * * [simplify]: Extracting #2: cost 6 inf + 0
7.186 * * [simplify]: Extracting #3: cost 62 inf + 0
7.187 * * [simplify]: Extracting #4: cost 166 inf + 460
7.189 * * [simplify]: Extracting #5: cost 131 inf + 12951
7.196 * * [simplify]: Extracting #6: cost 49 inf + 45746
7.203 * * [simplify]: Extracting #7: cost 1 inf + 66256
7.208 * * [simplify]: Extracting #8: cost 0 inf + 65919
7.214 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im)))))
7.214 * [simplify]: Simplified (2 2 1 2 1 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (/ (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))
7.214 * * * * [progress]: [ 27 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
7.214 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
7.214 * * [simplify]: iters left: 6 (8 enodes)
7.216 * * [simplify]: iters left: 5 (37 enodes)
7.223 * * [simplify]: iters left: 4 (67 enodes)
7.246 * * [simplify]: iters left: 3 (123 enodes)
7.280 * * [simplify]: iters left: 2 (278 enodes)
7.402 * * [simplify]: Extracting #0: cost 1 inf + 0
7.402 * * [simplify]: Extracting #1: cost 3 inf + 0
7.402 * * [simplify]: Extracting #2: cost 50 inf + 0
7.403 * * [simplify]: Extracting #3: cost 150 inf + 0
7.404 * * [simplify]: Extracting #4: cost 194 inf + 1180
7.409 * * [simplify]: Extracting #5: cost 123 inf + 12421
7.421 * * [simplify]: Extracting #6: cost 12 inf + 33804
7.435 * * [simplify]: Extracting #7: cost 0 inf + 36129
7.443 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
7.443 * [simplify]: Simplified (2 2 1 2 1 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))
7.443 * * * * [progress]: [ 28 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (pow (+ (* re re) (* im im)) (/ 1 2)))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
7.443 * [simplify]: Simplifying (+ (* re re) (* im im))
7.443 * * [simplify]: iters left: 4 (5 enodes)
7.445 * * [simplify]: iters left: 3 (16 enodes)
7.447 * * [simplify]: Extracting #0: cost 1 inf + 0
7.447 * * [simplify]: Extracting #1: cost 4 inf + 0
7.447 * * [simplify]: Extracting #2: cost 8 inf + 0
7.447 * * [simplify]: Extracting #3: cost 4 inf + 84
7.447 * * [simplify]: Extracting #4: cost 0 inf + 410
7.447 * [simplify]: Simplified to (+ (* re re) (* im im))
7.447 * [simplify]: Simplified (2 2 1 2 1 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (pow (+ (* re re) (* im im)) (/ 1 2)))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))
7.447 * * * * [progress]: [ 29 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
7.447 * * * * [progress]: [ 30 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (fabs (sqrt (+ (* re re) (* im im)))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
7.447 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im)))
7.447 * * [simplify]: iters left: 5 (6 enodes)
7.449 * * [simplify]: iters left: 4 (19 enodes)
7.451 * * [simplify]: Extracting #0: cost 1 inf + 0
7.451 * * [simplify]: Extracting #1: cost 3 inf + 0
7.451 * * [simplify]: Extracting #2: cost 6 inf + 0
7.451 * * [simplify]: Extracting #3: cost 10 inf + 0
7.452 * * [simplify]: Extracting #4: cost 6 inf + 84
7.452 * * [simplify]: Extracting #5: cost 0 inf + 734
7.452 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im)))
7.452 * [simplify]: Simplified (2 2 1 2 1 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (fabs (sqrt (+ (* re re) (* im im)))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))
7.452 * * * * [progress]: [ 31 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (* 1 (sqrt (+ (* re re) (* im im)))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
7.452 * * * * [progress]: [ 32 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (posit16->real (real->posit16 (sqrt (+ (* re re) (* im im))))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
7.452 * * * * [progress]: [ 33 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (pow (+ (* re re) (* im im)) 1/2))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
7.452 * * * * [progress]: [ 34 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (pow (sqrt (+ (* re re) (* im im))) 1))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
7.452 * * * * [progress]: [ 35 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
7.452 * * * * [progress]: [ 36 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (log (exp (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
7.452 * * * * [progress]: [ 37 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
7.452 * * * * [progress]: [ 38 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (cbrt (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
7.452 * * * * [progress]: [ 39 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
7.455 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
7.456 * * [simplify]: iters left: 6 (8 enodes)
7.457 * * [simplify]: iters left: 5 (26 enodes)
7.461 * * [simplify]: Extracting #0: cost 1 inf + 0
7.461 * * [simplify]: Extracting #1: cost 4 inf + 0
7.461 * * [simplify]: Extracting #2: cost 7 inf + 0
7.461 * * [simplify]: Extracting #3: cost 10 inf + 0
7.461 * * [simplify]: Extracting #4: cost 14 inf + 0
7.461 * * [simplify]: Extracting #5: cost 10 inf + 84
7.461 * * [simplify]: Extracting #6: cost 8 inf + 166
7.461 * * [simplify]: Extracting #7: cost 4 inf + 854
7.461 * * [simplify]: Extracting #8: cost 1 inf + 1540
7.462 * * [simplify]: Extracting #9: cost 0 inf + 1782
7.462 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im))))
7.462 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))
7.462 * * * * [progress]: [ 40 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
7.462 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im))))
7.462 * * [simplify]: iters left: 6 (7 enodes)
7.465 * * [simplify]: iters left: 5 (22 enodes)
7.470 * * [simplify]: Extracting #0: cost 1 inf + 0
7.471 * * [simplify]: Extracting #1: cost 3 inf + 0
7.471 * * [simplify]: Extracting #2: cost 5 inf + 0
7.471 * * [simplify]: Extracting #3: cost 8 inf + 0
7.471 * * [simplify]: Extracting #4: cost 12 inf + 0
7.471 * * [simplify]: Extracting #5: cost 10 inf + 2
7.471 * * [simplify]: Extracting #6: cost 1 inf + 936
7.471 * * [simplify]: Extracting #7: cost 0 inf + 1138
7.472 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im))))
7.472 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))
7.472 * * * * [progress]: [ 41 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (sqrt 1) (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
7.473 * [simplify]: Simplifying (sqrt 1)
7.473 * * [simplify]: iters left: 1 (2 enodes)
7.476 * * [simplify]: Extracting #0: cost 1 inf + 0
7.476 * * [simplify]: Extracting #1: cost 0 inf + 1
7.476 * [simplify]: Simplified to 1
7.476 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* 1 (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))
7.476 * * * * [progress]: [ 42 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (/ (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
7.477 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
7.477 * * [simplify]: iters left: 6 (9 enodes)
7.482 * * [simplify]: iters left: 5 (45 enodes)
7.502 * * [simplify]: iters left: 4 (100 enodes)
7.537 * * [simplify]: iters left: 3 (201 enodes)
7.593 * * [simplify]: iters left: 2 (406 enodes)
7.743 * * [simplify]: Extracting #0: cost 1 inf + 0
7.743 * * [simplify]: Extracting #1: cost 3 inf + 0
7.743 * * [simplify]: Extracting #2: cost 6 inf + 0
7.743 * * [simplify]: Extracting #3: cost 62 inf + 0
7.744 * * [simplify]: Extracting #4: cost 166 inf + 460
7.747 * * [simplify]: Extracting #5: cost 131 inf + 12951
7.754 * * [simplify]: Extracting #6: cost 49 inf + 45746
7.764 * * [simplify]: Extracting #7: cost 1 inf + 66256
7.777 * * [simplify]: Extracting #8: cost 0 inf + 65919
7.782 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im)))))
7.782 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (/ (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))
7.783 * * * * [progress]: [ 43 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
7.783 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
7.783 * * [simplify]: iters left: 6 (8 enodes)
7.785 * * [simplify]: iters left: 5 (37 enodes)
7.791 * * [simplify]: iters left: 4 (67 enodes)
7.803 * * [simplify]: iters left: 3 (123 enodes)
7.843 * * [simplify]: iters left: 2 (278 enodes)
7.967 * * [simplify]: Extracting #0: cost 1 inf + 0
7.967 * * [simplify]: Extracting #1: cost 3 inf + 0
7.967 * * [simplify]: Extracting #2: cost 50 inf + 0
7.968 * * [simplify]: Extracting #3: cost 150 inf + 0
7.970 * * [simplify]: Extracting #4: cost 194 inf + 1180
7.975 * * [simplify]: Extracting #5: cost 123 inf + 12421
7.987 * * [simplify]: Extracting #6: cost 12 inf + 33804
7.994 * * [simplify]: Extracting #7: cost 0 inf + 36129
8.001 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
8.001 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))
8.002 * * * * [progress]: [ 44 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (pow (+ (* re re) (* im im)) (/ 1 2)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
8.002 * [simplify]: Simplifying (+ (* re re) (* im im))
8.002 * * [simplify]: iters left: 4 (5 enodes)
8.003 * * [simplify]: iters left: 3 (16 enodes)
8.005 * * [simplify]: Extracting #0: cost 1 inf + 0
8.005 * * [simplify]: Extracting #1: cost 4 inf + 0
8.005 * * [simplify]: Extracting #2: cost 8 inf + 0
8.005 * * [simplify]: Extracting #3: cost 4 inf + 84
8.006 * * [simplify]: Extracting #4: cost 0 inf + 410
8.006 * [simplify]: Simplified to (+ (* re re) (* im im))
8.006 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (pow (+ (* re re) (* im im)) (/ 1 2)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))
8.006 * * * * [progress]: [ 45 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
8.006 * * * * [progress]: [ 46 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (fabs (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
8.006 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im)))
8.006 * * [simplify]: iters left: 5 (6 enodes)
8.007 * * [simplify]: iters left: 4 (19 enodes)
8.010 * * [simplify]: Extracting #0: cost 1 inf + 0
8.010 * * [simplify]: Extracting #1: cost 3 inf + 0
8.010 * * [simplify]: Extracting #2: cost 6 inf + 0
8.010 * * [simplify]: Extracting #3: cost 10 inf + 0
8.010 * * [simplify]: Extracting #4: cost 6 inf + 84
8.010 * * [simplify]: Extracting #5: cost 0 inf + 734
8.010 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im)))
8.010 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (fabs (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))
8.011 * * * * [progress]: [ 47 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* 1 (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
8.011 * * * * [progress]: [ 48 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (posit16->real (real->posit16 (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
8.011 * * * * [progress]: [ 49 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (pow (+ (* re re) (* im im)) 1/2)) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
8.011 * * * * [progress]: [ 50 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (pow (sqrt (+ (* re re) (* im im))) 1)) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
8.011 * * * * [progress]: [ 51 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
8.011 * * * * [progress]: [ 52 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (log (exp (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
8.011 * * * * [progress]: [ 53 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
8.011 * * * * [progress]: [ 54 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (cbrt (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
8.011 * * * * [progress]: [ 55 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (* (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
8.011 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
8.011 * * [simplify]: iters left: 6 (8 enodes)
8.015 * * [simplify]: iters left: 5 (26 enodes)
8.022 * * [simplify]: Extracting #0: cost 1 inf + 0
8.022 * * [simplify]: Extracting #1: cost 4 inf + 0
8.022 * * [simplify]: Extracting #2: cost 7 inf + 0
8.022 * * [simplify]: Extracting #3: cost 10 inf + 0
8.022 * * [simplify]: Extracting #4: cost 14 inf + 0
8.022 * * [simplify]: Extracting #5: cost 10 inf + 84
8.022 * * [simplify]: Extracting #6: cost 8 inf + 166
8.022 * * [simplify]: Extracting #7: cost 4 inf + 854
8.023 * * [simplify]: Extracting #8: cost 1 inf + 1540
8.023 * * [simplify]: Extracting #9: cost 0 inf + 1782
8.024 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im))))
8.024 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))
8.024 * * * * [progress]: [ 56 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
8.025 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im))))
8.025 * * [simplify]: iters left: 6 (7 enodes)
8.028 * * [simplify]: iters left: 5 (22 enodes)
8.034 * * [simplify]: Extracting #0: cost 1 inf + 0
8.034 * * [simplify]: Extracting #1: cost 3 inf + 0
8.034 * * [simplify]: Extracting #2: cost 5 inf + 0
8.034 * * [simplify]: Extracting #3: cost 8 inf + 0
8.034 * * [simplify]: Extracting #4: cost 12 inf + 0
8.034 * * [simplify]: Extracting #5: cost 10 inf + 2
8.035 * * [simplify]: Extracting #6: cost 1 inf + 936
8.035 * * [simplify]: Extracting #7: cost 0 inf + 1138
8.035 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im))))
8.035 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))
8.036 * * * * [progress]: [ 57 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (* (sqrt 1) (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
8.036 * [simplify]: Simplifying (sqrt 1)
8.036 * * [simplify]: iters left: 1 (2 enodes)
8.038 * * [simplify]: Extracting #0: cost 1 inf + 0
8.038 * * [simplify]: Extracting #1: cost 0 inf + 1
8.038 * [simplify]: Simplified to 1
8.038 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (* 1 (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))
8.038 * * * * [progress]: [ 58 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (/ (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
8.038 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
8.038 * * [simplify]: iters left: 6 (9 enodes)
8.044 * * [simplify]: iters left: 5 (45 enodes)
8.055 * * [simplify]: iters left: 4 (100 enodes)
8.087 * * [simplify]: iters left: 3 (201 enodes)
8.149 * * [simplify]: iters left: 2 (406 enodes)
8.286 * * [simplify]: Extracting #0: cost 1 inf + 0
8.286 * * [simplify]: Extracting #1: cost 3 inf + 0
8.286 * * [simplify]: Extracting #2: cost 6 inf + 0
8.286 * * [simplify]: Extracting #3: cost 62 inf + 0
8.288 * * [simplify]: Extracting #4: cost 166 inf + 460
8.290 * * [simplify]: Extracting #5: cost 131 inf + 12951
8.298 * * [simplify]: Extracting #6: cost 49 inf + 45746
8.308 * * [simplify]: Extracting #7: cost 1 inf + 66256
8.313 * * [simplify]: Extracting #8: cost 0 inf + 65919
8.318 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im)))))
8.318 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (/ (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))
8.319 * * * * [progress]: [ 59 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
8.319 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
8.319 * * [simplify]: iters left: 6 (8 enodes)
8.321 * * [simplify]: iters left: 5 (37 enodes)
8.332 * * [simplify]: iters left: 4 (67 enodes)
8.344 * * [simplify]: iters left: 3 (123 enodes)
8.377 * * [simplify]: iters left: 2 (278 enodes)
8.529 * * [simplify]: Extracting #0: cost 1 inf + 0
8.529 * * [simplify]: Extracting #1: cost 3 inf + 0
8.529 * * [simplify]: Extracting #2: cost 50 inf + 0
8.530 * * [simplify]: Extracting #3: cost 150 inf + 0
8.531 * * [simplify]: Extracting #4: cost 194 inf + 1180
8.533 * * [simplify]: Extracting #5: cost 123 inf + 12421
8.538 * * [simplify]: Extracting #6: cost 12 inf + 33804
8.546 * * [simplify]: Extracting #7: cost 0 inf + 36129
8.559 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
8.559 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))
8.560 * * * * [progress]: [ 60 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (pow (+ (* re re) (* im im)) (/ 1 2))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
8.560 * [simplify]: Simplifying (+ (* re re) (* im im))
8.560 * * [simplify]: iters left: 4 (5 enodes)
8.563 * * [simplify]: iters left: 3 (16 enodes)
8.567 * * [simplify]: Extracting #0: cost 1 inf + 0
8.567 * * [simplify]: Extracting #1: cost 4 inf + 0
8.567 * * [simplify]: Extracting #2: cost 8 inf + 0
8.567 * * [simplify]: Extracting #3: cost 4 inf + 84
8.568 * * [simplify]: Extracting #4: cost 0 inf + 410
8.568 * [simplify]: Simplified to (+ (* re re) (* im im))
8.568 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (pow (+ (* re re) (* im im)) (/ 1 2))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))
8.568 * * * * [progress]: [ 61 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
8.568 * * * * [progress]: [ 62 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (fabs (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
8.569 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im)))
8.569 * * [simplify]: iters left: 5 (6 enodes)
8.571 * * [simplify]: iters left: 4 (19 enodes)
8.577 * * [simplify]: Extracting #0: cost 1 inf + 0
8.577 * * [simplify]: Extracting #1: cost 3 inf + 0
8.577 * * [simplify]: Extracting #2: cost 6 inf + 0
8.577 * * [simplify]: Extracting #3: cost 10 inf + 0
8.577 * * [simplify]: Extracting #4: cost 6 inf + 84
8.577 * * [simplify]: Extracting #5: cost 0 inf + 734
8.577 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im)))
8.578 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (fabs (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))
8.578 * * * * [progress]: [ 63 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (* 1 (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
8.578 * * * * [progress]: [ 64 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (posit16->real (real->posit16 (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
8.578 * * * * [progress]: [ 65 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt im)) re)))))>
8.578 * [simplify]: Simplifying im
8.578 * * [simplify]: iters left: 0 (1 enodes)
8.579 * * [simplify]: Extracting #0: cost 1 inf + 0
8.579 * * [simplify]: Extracting #1: cost 0 inf + 1
8.579 * [simplify]: Simplified to im
8.579 * [simplify]: Simplified (2 2 1 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt im)) re)))))
8.579 * * * * [progress]: [ 66 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt re)) re)))))>
8.580 * [simplify]: Simplifying re
8.580 * * [simplify]: iters left: 0 (1 enodes)
8.580 * * [simplify]: Extracting #0: cost 1 inf + 0
8.580 * * [simplify]: Extracting #1: cost 0 inf + 1
8.580 * [simplify]: Simplified to re
8.580 * [simplify]: Simplified (2 2 1 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt re)) re)))))
8.580 * * * * [progress]: [ 67 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* -1 re))) re)))))>
8.581 * [simplify]: Simplifying (* -1 re)
8.581 * * [simplify]: iters left: 2 (3 enodes)
8.583 * * [simplify]: iters left: 1 (11 enodes)
8.586 * * [simplify]: Extracting #0: cost 1 inf + 0
8.586 * * [simplify]: Extracting #1: cost 4 inf + 0
8.586 * * [simplify]: Extracting #2: cost 0 inf + 84
8.586 * [simplify]: Simplified to (- re)
8.586 * [simplify]: Simplified (2 2 1 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (- re))) re)))))
8.586 * * * * [progress]: [ 68 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt im)))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
8.587 * [simplify]: Simplifying im
8.587 * * [simplify]: iters left: 0 (1 enodes)
8.587 * * [simplify]: Extracting #0: cost 1 inf + 0
8.587 * * [simplify]: Extracting #1: cost 0 inf + 1
8.587 * [simplify]: Simplified to im
8.587 * [simplify]: Simplified (2 2 1 2 1 1 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt im)))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))
8.588 * * * * [progress]: [ 69 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt re)))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
8.588 * [simplify]: Simplifying re
8.588 * * [simplify]: iters left: 0 (1 enodes)
8.588 * * [simplify]: Extracting #0: cost 1 inf + 0
8.589 * * [simplify]: Extracting #1: cost 0 inf + 1
8.589 * [simplify]: Simplified to re
8.589 * [simplify]: Simplified (2 2 1 2 1 1 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt re)))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))
8.589 * * * * [progress]: [ 70 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (* -1 re))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
8.589 * [simplify]: Simplifying (* -1 re)
8.589 * * [simplify]: iters left: 2 (3 enodes)
8.591 * * [simplify]: iters left: 1 (11 enodes)
8.594 * * [simplify]: Extracting #0: cost 1 inf + 0
8.594 * * [simplify]: Extracting #1: cost 4 inf + 0
8.594 * * [simplify]: Extracting #2: cost 0 inf + 84
8.594 * [simplify]: Simplified to (- re)
8.595 * [simplify]: Simplified (2 2 1 2 1 1 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (- re))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))
8.595 * * * * [progress]: [ 71 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt im)) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
8.595 * [simplify]: Simplifying im
8.595 * * [simplify]: iters left: 0 (1 enodes)
8.596 * * [simplify]: Extracting #0: cost 1 inf + 0
8.596 * * [simplify]: Extracting #1: cost 0 inf + 1
8.596 * [simplify]: Simplified to im
8.596 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt im)) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))
8.596 * * * * [progress]: [ 72 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt re)) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
8.596 * [simplify]: Simplifying re
8.596 * * [simplify]: iters left: 0 (1 enodes)
8.597 * * [simplify]: Extracting #0: cost 1 inf + 0
8.597 * * [simplify]: Extracting #1: cost 0 inf + 1
8.597 * [simplify]: Simplified to re
8.597 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt re)) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))
8.597 * * * * [progress]: [ 73 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* -1 re))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
8.597 * [simplify]: Simplifying (* -1 re)
8.598 * * [simplify]: iters left: 2 (3 enodes)
8.599 * * [simplify]: iters left: 1 (11 enodes)
8.603 * * [simplify]: Extracting #0: cost 1 inf + 0
8.603 * * [simplify]: Extracting #1: cost 4 inf + 0
8.603 * * [simplify]: Extracting #2: cost 0 inf + 84
8.603 * [simplify]: Simplified to (- re)
8.603 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (- re))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))
8.603 * * * * [progress]: [ 74 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt im) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
8.603 * [simplify]: Simplifying im
8.603 * * [simplify]: iters left: 0 (1 enodes)
8.604 * * [simplify]: Extracting #0: cost 1 inf + 0
8.604 * * [simplify]: Extracting #1: cost 0 inf + 1
8.604 * [simplify]: Simplified to im
8.604 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt im) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))
8.604 * * * * [progress]: [ 75 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt re) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
8.605 * [simplify]: Simplifying re
8.605 * * [simplify]: iters left: 0 (1 enodes)
8.605 * * [simplify]: Extracting #0: cost 1 inf + 0
8.605 * * [simplify]: Extracting #1: cost 0 inf + 1
8.605 * [simplify]: Simplified to re
8.605 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt re) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))
8.605 * * * * [progress]: [ 76 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (* -1 re)) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
8.606 * [simplify]: Simplifying (* -1 re)
8.606 * * [simplify]: iters left: 2 (3 enodes)
8.608 * * [simplify]: iters left: 1 (11 enodes)
8.611 * * [simplify]: Extracting #0: cost 1 inf + 0
8.611 * * [simplify]: Extracting #1: cost 4 inf + 0
8.611 * * [simplify]: Extracting #2: cost 0 inf + 84
8.611 * [simplify]: Simplified to (- re)
8.611 * [simplify]: Simplified (2 2 1 2 1 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (- re)) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))
8.612 * * * [progress]: adding candidates to table
9.826 * * [progress]: iteration 4 / 4
9.826 * * * [progress]: picking best candidate
9.866 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
9.866 * * * [progress]: localizing error
9.958 * * * [progress]: generating rewritten candidates
9.958 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1 2 1)
9.971 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 2 1 1 2 1)
9.989 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 2 1 1 1 1)
9.996 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1 2 1 2 1)
10.003 * * * [progress]: generating series expansions
10.003 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1 2 1)
10.003 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
10.003 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
10.003 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
10.003 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
10.003 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.003 * [taylor]: Taking taylor expansion of im in im
10.003 * [backup-simplify]: Simplify 0 into 0
10.003 * [backup-simplify]: Simplify 1 into 1
10.003 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.003 * [taylor]: Taking taylor expansion of re in im
10.003 * [backup-simplify]: Simplify re into re
10.003 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.003 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
10.003 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
10.003 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
10.004 * [backup-simplify]: Simplify (+ 0 0) into 0
10.004 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
10.004 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
10.004 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
10.004 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.004 * [taylor]: Taking taylor expansion of im in re
10.004 * [backup-simplify]: Simplify im into im
10.004 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.004 * [taylor]: Taking taylor expansion of re in re
10.004 * [backup-simplify]: Simplify 0 into 0
10.004 * [backup-simplify]: Simplify 1 into 1
10.004 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.004 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
10.004 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.004 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.004 * [backup-simplify]: Simplify (+ 0 0) into 0
10.005 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.005 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
10.005 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
10.005 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.005 * [taylor]: Taking taylor expansion of im in re
10.005 * [backup-simplify]: Simplify im into im
10.005 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.005 * [taylor]: Taking taylor expansion of re in re
10.005 * [backup-simplify]: Simplify 0 into 0
10.005 * [backup-simplify]: Simplify 1 into 1
10.005 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.005 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
10.005 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.005 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.005 * [backup-simplify]: Simplify (+ 0 0) into 0
10.005 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.005 * [taylor]: Taking taylor expansion of im in im
10.005 * [backup-simplify]: Simplify 0 into 0
10.005 * [backup-simplify]: Simplify 1 into 1
10.005 * [backup-simplify]: Simplify 0 into 0
10.005 * [taylor]: Taking taylor expansion of 0 in im
10.005 * [backup-simplify]: Simplify 0 into 0
10.005 * [backup-simplify]: Simplify 0 into 0
10.005 * [backup-simplify]: Simplify 1 into 1
10.006 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
10.006 * [backup-simplify]: Simplify (* 1 1) into 1
10.006 * [backup-simplify]: Simplify (+ 0 1) into 1
10.007 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
10.007 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
10.007 * [taylor]: Taking taylor expansion of 1/2 in im
10.007 * [backup-simplify]: Simplify 1/2 into 1/2
10.007 * [taylor]: Taking taylor expansion of im in im
10.007 * [backup-simplify]: Simplify 0 into 0
10.007 * [backup-simplify]: Simplify 1 into 1
10.007 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.008 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.008 * [backup-simplify]: Simplify 0 into 0
10.008 * [backup-simplify]: Simplify 0 into 0
10.008 * [backup-simplify]: Simplify 0 into 0
10.008 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
10.009 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.009 * [backup-simplify]: Simplify (+ 0 0) into 0
10.009 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
10.009 * [taylor]: Taking taylor expansion of 0 in im
10.009 * [backup-simplify]: Simplify 0 into 0
10.009 * [backup-simplify]: Simplify 0 into 0
10.010 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.010 * [backup-simplify]: Simplify 0 into 0
10.010 * [backup-simplify]: Simplify 0 into 0
10.010 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
10.010 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
10.010 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
10.010 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
10.010 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
10.010 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
10.010 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.010 * [taylor]: Taking taylor expansion of re in im
10.010 * [backup-simplify]: Simplify re into re
10.010 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.010 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
10.010 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.010 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.010 * [taylor]: Taking taylor expansion of im in im
10.010 * [backup-simplify]: Simplify 0 into 0
10.010 * [backup-simplify]: Simplify 1 into 1
10.011 * [backup-simplify]: Simplify (* 1 1) into 1
10.011 * [backup-simplify]: Simplify (/ 1 1) into 1
10.011 * [backup-simplify]: Simplify (+ 0 1) into 1
10.011 * [backup-simplify]: Simplify (sqrt 1) into 1
10.012 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.013 * [backup-simplify]: Simplify (+ 0 0) into 0
10.013 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.013 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
10.013 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
10.013 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.013 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.013 * [taylor]: Taking taylor expansion of re in re
10.013 * [backup-simplify]: Simplify 0 into 0
10.013 * [backup-simplify]: Simplify 1 into 1
10.013 * [backup-simplify]: Simplify (* 1 1) into 1
10.014 * [backup-simplify]: Simplify (/ 1 1) into 1
10.014 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.014 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.014 * [taylor]: Taking taylor expansion of im in re
10.014 * [backup-simplify]: Simplify im into im
10.014 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.014 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.014 * [backup-simplify]: Simplify (+ 1 0) into 1
10.014 * [backup-simplify]: Simplify (sqrt 1) into 1
10.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.016 * [backup-simplify]: Simplify (+ 0 0) into 0
10.016 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.016 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
10.016 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
10.016 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.016 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.016 * [taylor]: Taking taylor expansion of re in re
10.016 * [backup-simplify]: Simplify 0 into 0
10.016 * [backup-simplify]: Simplify 1 into 1
10.016 * [backup-simplify]: Simplify (* 1 1) into 1
10.017 * [backup-simplify]: Simplify (/ 1 1) into 1
10.017 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.017 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.017 * [taylor]: Taking taylor expansion of im in re
10.017 * [backup-simplify]: Simplify im into im
10.017 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.017 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.017 * [backup-simplify]: Simplify (+ 1 0) into 1
10.017 * [backup-simplify]: Simplify (sqrt 1) into 1
10.018 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.018 * [backup-simplify]: Simplify (+ 0 0) into 0
10.019 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.019 * [taylor]: Taking taylor expansion of 1 in im
10.019 * [backup-simplify]: Simplify 1 into 1
10.019 * [taylor]: Taking taylor expansion of 0 in im
10.019 * [backup-simplify]: Simplify 0 into 0
10.019 * [backup-simplify]: Simplify 1 into 1
10.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.020 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
10.021 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.021 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
10.021 * [taylor]: Taking taylor expansion of 1/2 in im
10.021 * [backup-simplify]: Simplify 1/2 into 1/2
10.021 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.021 * [taylor]: Taking taylor expansion of im in im
10.021 * [backup-simplify]: Simplify 0 into 0
10.021 * [backup-simplify]: Simplify 1 into 1
10.021 * [backup-simplify]: Simplify (* 1 1) into 1
10.021 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.022 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.022 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.022 * [backup-simplify]: Simplify 0 into 0
10.022 * [backup-simplify]: Simplify 0 into 0
10.022 * [backup-simplify]: Simplify 0 into 0
10.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.024 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.024 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
10.024 * [backup-simplify]: Simplify (+ 0 0) into 0
10.024 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.024 * [taylor]: Taking taylor expansion of 0 in im
10.024 * [backup-simplify]: Simplify 0 into 0
10.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.025 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.026 * [backup-simplify]: Simplify 0 into 0
10.026 * [backup-simplify]: Simplify 0 into 0
10.026 * [backup-simplify]: Simplify 0 into 0
10.026 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
10.026 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
10.026 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
10.026 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
10.026 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
10.026 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
10.026 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.026 * [taylor]: Taking taylor expansion of re in im
10.026 * [backup-simplify]: Simplify re into re
10.026 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.026 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
10.026 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.026 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.026 * [taylor]: Taking taylor expansion of im in im
10.026 * [backup-simplify]: Simplify 0 into 0
10.026 * [backup-simplify]: Simplify 1 into 1
10.026 * [backup-simplify]: Simplify (* 1 1) into 1
10.027 * [backup-simplify]: Simplify (/ 1 1) into 1
10.027 * [backup-simplify]: Simplify (+ 0 1) into 1
10.027 * [backup-simplify]: Simplify (sqrt 1) into 1
10.028 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.029 * [backup-simplify]: Simplify (+ 0 0) into 0
10.030 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.030 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
10.030 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
10.030 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.030 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.030 * [taylor]: Taking taylor expansion of re in re
10.030 * [backup-simplify]: Simplify 0 into 0
10.030 * [backup-simplify]: Simplify 1 into 1
10.030 * [backup-simplify]: Simplify (* 1 1) into 1
10.031 * [backup-simplify]: Simplify (/ 1 1) into 1
10.031 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.031 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.031 * [taylor]: Taking taylor expansion of im in re
10.031 * [backup-simplify]: Simplify im into im
10.031 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.031 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.031 * [backup-simplify]: Simplify (+ 1 0) into 1
10.032 * [backup-simplify]: Simplify (sqrt 1) into 1
10.032 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.034 * [backup-simplify]: Simplify (+ 0 0) into 0
10.034 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.034 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
10.034 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
10.034 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.035 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.035 * [taylor]: Taking taylor expansion of re in re
10.035 * [backup-simplify]: Simplify 0 into 0
10.035 * [backup-simplify]: Simplify 1 into 1
10.035 * [backup-simplify]: Simplify (* 1 1) into 1
10.035 * [backup-simplify]: Simplify (/ 1 1) into 1
10.035 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.035 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.035 * [taylor]: Taking taylor expansion of im in re
10.035 * [backup-simplify]: Simplify im into im
10.036 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.036 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.036 * [backup-simplify]: Simplify (+ 1 0) into 1
10.037 * [backup-simplify]: Simplify (sqrt 1) into 1
10.037 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.039 * [backup-simplify]: Simplify (+ 0 0) into 0
10.039 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.039 * [taylor]: Taking taylor expansion of 1 in im
10.040 * [backup-simplify]: Simplify 1 into 1
10.040 * [taylor]: Taking taylor expansion of 0 in im
10.040 * [backup-simplify]: Simplify 0 into 0
10.040 * [backup-simplify]: Simplify 1 into 1
10.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.042 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
10.043 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.043 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
10.043 * [taylor]: Taking taylor expansion of 1/2 in im
10.043 * [backup-simplify]: Simplify 1/2 into 1/2
10.043 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.043 * [taylor]: Taking taylor expansion of im in im
10.043 * [backup-simplify]: Simplify 0 into 0
10.043 * [backup-simplify]: Simplify 1 into 1
10.043 * [backup-simplify]: Simplify (* 1 1) into 1
10.044 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.045 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.046 * [backup-simplify]: Simplify 0 into 0
10.046 * [backup-simplify]: Simplify 0 into 0
10.046 * [backup-simplify]: Simplify 0 into 0
10.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.048 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.048 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
10.048 * [backup-simplify]: Simplify (+ 0 0) into 0
10.049 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.049 * [taylor]: Taking taylor expansion of 0 in im
10.049 * [backup-simplify]: Simplify 0 into 0
10.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.051 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.051 * [backup-simplify]: Simplify 0 into 0
10.051 * [backup-simplify]: Simplify 0 into 0
10.051 * [backup-simplify]: Simplify 0 into 0
10.051 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
10.051 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 2 1 1 2 1)
10.051 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
10.051 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
10.051 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
10.051 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
10.052 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.052 * [taylor]: Taking taylor expansion of im in im
10.052 * [backup-simplify]: Simplify 0 into 0
10.052 * [backup-simplify]: Simplify 1 into 1
10.052 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.052 * [taylor]: Taking taylor expansion of re in im
10.052 * [backup-simplify]: Simplify re into re
10.052 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.052 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
10.052 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
10.052 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
10.052 * [backup-simplify]: Simplify (+ 0 0) into 0
10.052 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
10.053 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
10.053 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
10.053 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.053 * [taylor]: Taking taylor expansion of im in re
10.053 * [backup-simplify]: Simplify im into im
10.053 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.053 * [taylor]: Taking taylor expansion of re in re
10.053 * [backup-simplify]: Simplify 0 into 0
10.053 * [backup-simplify]: Simplify 1 into 1
10.053 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.053 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
10.053 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.053 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.053 * [backup-simplify]: Simplify (+ 0 0) into 0
10.054 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.054 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
10.054 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
10.054 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.054 * [taylor]: Taking taylor expansion of im in re
10.054 * [backup-simplify]: Simplify im into im
10.054 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.054 * [taylor]: Taking taylor expansion of re in re
10.054 * [backup-simplify]: Simplify 0 into 0
10.054 * [backup-simplify]: Simplify 1 into 1
10.054 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.054 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
10.054 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.054 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.054 * [backup-simplify]: Simplify (+ 0 0) into 0
10.055 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.055 * [taylor]: Taking taylor expansion of im in im
10.055 * [backup-simplify]: Simplify 0 into 0
10.055 * [backup-simplify]: Simplify 1 into 1
10.055 * [backup-simplify]: Simplify 0 into 0
10.055 * [taylor]: Taking taylor expansion of 0 in im
10.055 * [backup-simplify]: Simplify 0 into 0
10.055 * [backup-simplify]: Simplify 0 into 0
10.055 * [backup-simplify]: Simplify 1 into 1
10.055 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
10.056 * [backup-simplify]: Simplify (* 1 1) into 1
10.056 * [backup-simplify]: Simplify (+ 0 1) into 1
10.057 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
10.057 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
10.057 * [taylor]: Taking taylor expansion of 1/2 in im
10.057 * [backup-simplify]: Simplify 1/2 into 1/2
10.057 * [taylor]: Taking taylor expansion of im in im
10.057 * [backup-simplify]: Simplify 0 into 0
10.057 * [backup-simplify]: Simplify 1 into 1
10.058 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.058 * [backup-simplify]: Simplify 0 into 0
10.059 * [backup-simplify]: Simplify 0 into 0
10.059 * [backup-simplify]: Simplify 0 into 0
10.059 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
10.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.060 * [backup-simplify]: Simplify (+ 0 0) into 0
10.061 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
10.061 * [taylor]: Taking taylor expansion of 0 in im
10.061 * [backup-simplify]: Simplify 0 into 0
10.061 * [backup-simplify]: Simplify 0 into 0
10.062 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.062 * [backup-simplify]: Simplify 0 into 0
10.062 * [backup-simplify]: Simplify 0 into 0
10.062 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
10.062 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
10.062 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
10.062 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
10.062 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
10.062 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
10.062 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.062 * [taylor]: Taking taylor expansion of re in im
10.062 * [backup-simplify]: Simplify re into re
10.062 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.062 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
10.062 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.062 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.063 * [taylor]: Taking taylor expansion of im in im
10.063 * [backup-simplify]: Simplify 0 into 0
10.063 * [backup-simplify]: Simplify 1 into 1
10.063 * [backup-simplify]: Simplify (* 1 1) into 1
10.063 * [backup-simplify]: Simplify (/ 1 1) into 1
10.064 * [backup-simplify]: Simplify (+ 0 1) into 1
10.064 * [backup-simplify]: Simplify (sqrt 1) into 1
10.065 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.066 * [backup-simplify]: Simplify (+ 0 0) into 0
10.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.067 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
10.067 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
10.067 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.067 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.067 * [taylor]: Taking taylor expansion of re in re
10.067 * [backup-simplify]: Simplify 0 into 0
10.068 * [backup-simplify]: Simplify 1 into 1
10.068 * [backup-simplify]: Simplify (* 1 1) into 1
10.068 * [backup-simplify]: Simplify (/ 1 1) into 1
10.068 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.068 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.068 * [taylor]: Taking taylor expansion of im in re
10.068 * [backup-simplify]: Simplify im into im
10.069 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.069 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.069 * [backup-simplify]: Simplify (+ 1 0) into 1
10.069 * [backup-simplify]: Simplify (sqrt 1) into 1
10.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.071 * [backup-simplify]: Simplify (+ 0 0) into 0
10.072 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.072 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
10.072 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
10.072 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.072 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.072 * [taylor]: Taking taylor expansion of re in re
10.072 * [backup-simplify]: Simplify 0 into 0
10.072 * [backup-simplify]: Simplify 1 into 1
10.073 * [backup-simplify]: Simplify (* 1 1) into 1
10.073 * [backup-simplify]: Simplify (/ 1 1) into 1
10.073 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.073 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.073 * [taylor]: Taking taylor expansion of im in re
10.073 * [backup-simplify]: Simplify im into im
10.073 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.073 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.074 * [backup-simplify]: Simplify (+ 1 0) into 1
10.074 * [backup-simplify]: Simplify (sqrt 1) into 1
10.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.076 * [backup-simplify]: Simplify (+ 0 0) into 0
10.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.077 * [taylor]: Taking taylor expansion of 1 in im
10.077 * [backup-simplify]: Simplify 1 into 1
10.077 * [taylor]: Taking taylor expansion of 0 in im
10.077 * [backup-simplify]: Simplify 0 into 0
10.077 * [backup-simplify]: Simplify 1 into 1
10.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.079 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
10.080 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.080 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
10.080 * [taylor]: Taking taylor expansion of 1/2 in im
10.080 * [backup-simplify]: Simplify 1/2 into 1/2
10.080 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.080 * [taylor]: Taking taylor expansion of im in im
10.080 * [backup-simplify]: Simplify 0 into 0
10.080 * [backup-simplify]: Simplify 1 into 1
10.081 * [backup-simplify]: Simplify (* 1 1) into 1
10.081 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.083 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.083 * [backup-simplify]: Simplify 0 into 0
10.083 * [backup-simplify]: Simplify 0 into 0
10.083 * [backup-simplify]: Simplify 0 into 0
10.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.085 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.085 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
10.086 * [backup-simplify]: Simplify (+ 0 0) into 0
10.086 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.086 * [taylor]: Taking taylor expansion of 0 in im
10.086 * [backup-simplify]: Simplify 0 into 0
10.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.088 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.088 * [backup-simplify]: Simplify 0 into 0
10.088 * [backup-simplify]: Simplify 0 into 0
10.088 * [backup-simplify]: Simplify 0 into 0
10.088 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
10.089 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
10.089 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
10.089 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
10.089 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
10.089 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
10.089 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.089 * [taylor]: Taking taylor expansion of re in im
10.089 * [backup-simplify]: Simplify re into re
10.089 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.089 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
10.089 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.089 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.089 * [taylor]: Taking taylor expansion of im in im
10.089 * [backup-simplify]: Simplify 0 into 0
10.089 * [backup-simplify]: Simplify 1 into 1
10.090 * [backup-simplify]: Simplify (* 1 1) into 1
10.090 * [backup-simplify]: Simplify (/ 1 1) into 1
10.090 * [backup-simplify]: Simplify (+ 0 1) into 1
10.091 * [backup-simplify]: Simplify (sqrt 1) into 1
10.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.092 * [backup-simplify]: Simplify (+ 0 0) into 0
10.092 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.092 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
10.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
10.092 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.092 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.092 * [taylor]: Taking taylor expansion of re in re
10.093 * [backup-simplify]: Simplify 0 into 0
10.093 * [backup-simplify]: Simplify 1 into 1
10.093 * [backup-simplify]: Simplify (* 1 1) into 1
10.093 * [backup-simplify]: Simplify (/ 1 1) into 1
10.093 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.093 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.093 * [taylor]: Taking taylor expansion of im in re
10.093 * [backup-simplify]: Simplify im into im
10.093 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.093 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.094 * [backup-simplify]: Simplify (+ 1 0) into 1
10.094 * [backup-simplify]: Simplify (sqrt 1) into 1
10.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.095 * [backup-simplify]: Simplify (+ 0 0) into 0
10.095 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.095 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
10.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
10.095 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.095 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.095 * [taylor]: Taking taylor expansion of re in re
10.095 * [backup-simplify]: Simplify 0 into 0
10.096 * [backup-simplify]: Simplify 1 into 1
10.096 * [backup-simplify]: Simplify (* 1 1) into 1
10.096 * [backup-simplify]: Simplify (/ 1 1) into 1
10.096 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.096 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.096 * [taylor]: Taking taylor expansion of im in re
10.096 * [backup-simplify]: Simplify im into im
10.096 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.096 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.096 * [backup-simplify]: Simplify (+ 1 0) into 1
10.097 * [backup-simplify]: Simplify (sqrt 1) into 1
10.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.102 * [backup-simplify]: Simplify (+ 0 0) into 0
10.102 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.102 * [taylor]: Taking taylor expansion of 1 in im
10.102 * [backup-simplify]: Simplify 1 into 1
10.102 * [taylor]: Taking taylor expansion of 0 in im
10.102 * [backup-simplify]: Simplify 0 into 0
10.102 * [backup-simplify]: Simplify 1 into 1
10.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.104 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
10.104 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.104 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
10.104 * [taylor]: Taking taylor expansion of 1/2 in im
10.104 * [backup-simplify]: Simplify 1/2 into 1/2
10.104 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.104 * [taylor]: Taking taylor expansion of im in im
10.104 * [backup-simplify]: Simplify 0 into 0
10.104 * [backup-simplify]: Simplify 1 into 1
10.105 * [backup-simplify]: Simplify (* 1 1) into 1
10.105 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.106 * [backup-simplify]: Simplify 0 into 0
10.106 * [backup-simplify]: Simplify 0 into 0
10.106 * [backup-simplify]: Simplify 0 into 0
10.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.107 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.107 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
10.108 * [backup-simplify]: Simplify (+ 0 0) into 0
10.108 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.108 * [taylor]: Taking taylor expansion of 0 in im
10.108 * [backup-simplify]: Simplify 0 into 0
10.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.109 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.109 * [backup-simplify]: Simplify 0 into 0
10.109 * [backup-simplify]: Simplify 0 into 0
10.109 * [backup-simplify]: Simplify 0 into 0
10.109 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
10.109 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 2 1 1 1 1)
10.109 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
10.109 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
10.109 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
10.109 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
10.109 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.109 * [taylor]: Taking taylor expansion of im in im
10.109 * [backup-simplify]: Simplify 0 into 0
10.110 * [backup-simplify]: Simplify 1 into 1
10.110 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.110 * [taylor]: Taking taylor expansion of re in im
10.110 * [backup-simplify]: Simplify re into re
10.110 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.110 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
10.110 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
10.110 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
10.110 * [backup-simplify]: Simplify (+ 0 0) into 0
10.110 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
10.110 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
10.110 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
10.110 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.110 * [taylor]: Taking taylor expansion of im in re
10.110 * [backup-simplify]: Simplify im into im
10.110 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.110 * [taylor]: Taking taylor expansion of re in re
10.110 * [backup-simplify]: Simplify 0 into 0
10.110 * [backup-simplify]: Simplify 1 into 1
10.110 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.110 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
10.110 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.110 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.111 * [backup-simplify]: Simplify (+ 0 0) into 0
10.111 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.111 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
10.111 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
10.111 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.111 * [taylor]: Taking taylor expansion of im in re
10.111 * [backup-simplify]: Simplify im into im
10.111 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.111 * [taylor]: Taking taylor expansion of re in re
10.111 * [backup-simplify]: Simplify 0 into 0
10.111 * [backup-simplify]: Simplify 1 into 1
10.111 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.111 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
10.111 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.111 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.111 * [backup-simplify]: Simplify (+ 0 0) into 0
10.111 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.111 * [taylor]: Taking taylor expansion of im in im
10.111 * [backup-simplify]: Simplify 0 into 0
10.111 * [backup-simplify]: Simplify 1 into 1
10.112 * [backup-simplify]: Simplify 0 into 0
10.112 * [taylor]: Taking taylor expansion of 0 in im
10.112 * [backup-simplify]: Simplify 0 into 0
10.112 * [backup-simplify]: Simplify 0 into 0
10.112 * [backup-simplify]: Simplify 1 into 1
10.112 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
10.112 * [backup-simplify]: Simplify (* 1 1) into 1
10.112 * [backup-simplify]: Simplify (+ 0 1) into 1
10.113 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
10.113 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
10.113 * [taylor]: Taking taylor expansion of 1/2 in im
10.113 * [backup-simplify]: Simplify 1/2 into 1/2
10.113 * [taylor]: Taking taylor expansion of im in im
10.113 * [backup-simplify]: Simplify 0 into 0
10.113 * [backup-simplify]: Simplify 1 into 1
10.113 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.114 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.114 * [backup-simplify]: Simplify 0 into 0
10.114 * [backup-simplify]: Simplify 0 into 0
10.114 * [backup-simplify]: Simplify 0 into 0
10.114 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
10.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.115 * [backup-simplify]: Simplify (+ 0 0) into 0
10.115 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
10.115 * [taylor]: Taking taylor expansion of 0 in im
10.115 * [backup-simplify]: Simplify 0 into 0
10.115 * [backup-simplify]: Simplify 0 into 0
10.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.116 * [backup-simplify]: Simplify 0 into 0
10.116 * [backup-simplify]: Simplify 0 into 0
10.116 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
10.116 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
10.116 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
10.116 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
10.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
10.116 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
10.116 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.116 * [taylor]: Taking taylor expansion of re in im
10.116 * [backup-simplify]: Simplify re into re
10.116 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.116 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
10.116 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.116 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.116 * [taylor]: Taking taylor expansion of im in im
10.116 * [backup-simplify]: Simplify 0 into 0
10.116 * [backup-simplify]: Simplify 1 into 1
10.116 * [backup-simplify]: Simplify (* 1 1) into 1
10.117 * [backup-simplify]: Simplify (/ 1 1) into 1
10.117 * [backup-simplify]: Simplify (+ 0 1) into 1
10.117 * [backup-simplify]: Simplify (sqrt 1) into 1
10.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.118 * [backup-simplify]: Simplify (+ 0 0) into 0
10.119 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.119 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
10.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
10.119 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.119 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.119 * [taylor]: Taking taylor expansion of re in re
10.119 * [backup-simplify]: Simplify 0 into 0
10.119 * [backup-simplify]: Simplify 1 into 1
10.119 * [backup-simplify]: Simplify (* 1 1) into 1
10.119 * [backup-simplify]: Simplify (/ 1 1) into 1
10.119 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.119 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.119 * [taylor]: Taking taylor expansion of im in re
10.119 * [backup-simplify]: Simplify im into im
10.119 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.120 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.120 * [backup-simplify]: Simplify (+ 1 0) into 1
10.120 * [backup-simplify]: Simplify (sqrt 1) into 1
10.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.121 * [backup-simplify]: Simplify (+ 0 0) into 0
10.122 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.122 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
10.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
10.122 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.122 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.122 * [taylor]: Taking taylor expansion of re in re
10.122 * [backup-simplify]: Simplify 0 into 0
10.122 * [backup-simplify]: Simplify 1 into 1
10.122 * [backup-simplify]: Simplify (* 1 1) into 1
10.122 * [backup-simplify]: Simplify (/ 1 1) into 1
10.122 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.122 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.122 * [taylor]: Taking taylor expansion of im in re
10.122 * [backup-simplify]: Simplify im into im
10.122 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.122 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.123 * [backup-simplify]: Simplify (+ 1 0) into 1
10.123 * [backup-simplify]: Simplify (sqrt 1) into 1
10.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.124 * [backup-simplify]: Simplify (+ 0 0) into 0
10.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.126 * [taylor]: Taking taylor expansion of 1 in im
10.126 * [backup-simplify]: Simplify 1 into 1
10.126 * [taylor]: Taking taylor expansion of 0 in im
10.126 * [backup-simplify]: Simplify 0 into 0
10.126 * [backup-simplify]: Simplify 1 into 1
10.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.128 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
10.129 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.129 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
10.129 * [taylor]: Taking taylor expansion of 1/2 in im
10.129 * [backup-simplify]: Simplify 1/2 into 1/2
10.129 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.129 * [taylor]: Taking taylor expansion of im in im
10.129 * [backup-simplify]: Simplify 0 into 0
10.129 * [backup-simplify]: Simplify 1 into 1
10.130 * [backup-simplify]: Simplify (* 1 1) into 1
10.130 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.132 * [backup-simplify]: Simplify 0 into 0
10.132 * [backup-simplify]: Simplify 0 into 0
10.132 * [backup-simplify]: Simplify 0 into 0
10.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.134 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.134 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
10.134 * [backup-simplify]: Simplify (+ 0 0) into 0
10.135 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.135 * [taylor]: Taking taylor expansion of 0 in im
10.135 * [backup-simplify]: Simplify 0 into 0
10.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.137 * [backup-simplify]: Simplify 0 into 0
10.137 * [backup-simplify]: Simplify 0 into 0
10.137 * [backup-simplify]: Simplify 0 into 0
10.137 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
10.138 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
10.138 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
10.138 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
10.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
10.138 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
10.138 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.138 * [taylor]: Taking taylor expansion of re in im
10.138 * [backup-simplify]: Simplify re into re
10.138 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.138 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
10.138 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.138 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.138 * [taylor]: Taking taylor expansion of im in im
10.138 * [backup-simplify]: Simplify 0 into 0
10.138 * [backup-simplify]: Simplify 1 into 1
10.138 * [backup-simplify]: Simplify (* 1 1) into 1
10.139 * [backup-simplify]: Simplify (/ 1 1) into 1
10.139 * [backup-simplify]: Simplify (+ 0 1) into 1
10.140 * [backup-simplify]: Simplify (sqrt 1) into 1
10.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.141 * [backup-simplify]: Simplify (+ 0 0) into 0
10.142 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.142 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
10.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
10.142 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.142 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.142 * [taylor]: Taking taylor expansion of re in re
10.142 * [backup-simplify]: Simplify 0 into 0
10.142 * [backup-simplify]: Simplify 1 into 1
10.143 * [backup-simplify]: Simplify (* 1 1) into 1
10.143 * [backup-simplify]: Simplify (/ 1 1) into 1
10.143 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.143 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.143 * [taylor]: Taking taylor expansion of im in re
10.143 * [backup-simplify]: Simplify im into im
10.143 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.143 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.144 * [backup-simplify]: Simplify (+ 1 0) into 1
10.144 * [backup-simplify]: Simplify (sqrt 1) into 1
10.145 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.146 * [backup-simplify]: Simplify (+ 0 0) into 0
10.147 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.147 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
10.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
10.147 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.147 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.147 * [taylor]: Taking taylor expansion of re in re
10.147 * [backup-simplify]: Simplify 0 into 0
10.147 * [backup-simplify]: Simplify 1 into 1
10.147 * [backup-simplify]: Simplify (* 1 1) into 1
10.148 * [backup-simplify]: Simplify (/ 1 1) into 1
10.148 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.148 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.148 * [taylor]: Taking taylor expansion of im in re
10.148 * [backup-simplify]: Simplify im into im
10.148 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.148 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.148 * [backup-simplify]: Simplify (+ 1 0) into 1
10.149 * [backup-simplify]: Simplify (sqrt 1) into 1
10.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.151 * [backup-simplify]: Simplify (+ 0 0) into 0
10.151 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.152 * [taylor]: Taking taylor expansion of 1 in im
10.152 * [backup-simplify]: Simplify 1 into 1
10.152 * [taylor]: Taking taylor expansion of 0 in im
10.152 * [backup-simplify]: Simplify 0 into 0
10.152 * [backup-simplify]: Simplify 1 into 1
10.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.154 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
10.155 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.155 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
10.155 * [taylor]: Taking taylor expansion of 1/2 in im
10.155 * [backup-simplify]: Simplify 1/2 into 1/2
10.155 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.155 * [taylor]: Taking taylor expansion of im in im
10.155 * [backup-simplify]: Simplify 0 into 0
10.155 * [backup-simplify]: Simplify 1 into 1
10.155 * [backup-simplify]: Simplify (* 1 1) into 1
10.156 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.157 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.158 * [backup-simplify]: Simplify 0 into 0
10.158 * [backup-simplify]: Simplify 0 into 0
10.158 * [backup-simplify]: Simplify 0 into 0
10.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.160 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.160 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
10.160 * [backup-simplify]: Simplify (+ 0 0) into 0
10.161 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.161 * [taylor]: Taking taylor expansion of 0 in im
10.161 * [backup-simplify]: Simplify 0 into 0
10.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.163 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.163 * [backup-simplify]: Simplify 0 into 0
10.163 * [backup-simplify]: Simplify 0 into 0
10.163 * [backup-simplify]: Simplify 0 into 0
10.163 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
10.163 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1 2 1 2 1)
10.163 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
10.163 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
10.163 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
10.163 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
10.163 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.163 * [taylor]: Taking taylor expansion of im in im
10.163 * [backup-simplify]: Simplify 0 into 0
10.164 * [backup-simplify]: Simplify 1 into 1
10.164 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.164 * [taylor]: Taking taylor expansion of re in im
10.164 * [backup-simplify]: Simplify re into re
10.164 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.164 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
10.164 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
10.164 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
10.164 * [backup-simplify]: Simplify (+ 0 0) into 0
10.164 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
10.164 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
10.164 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
10.164 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.164 * [taylor]: Taking taylor expansion of im in re
10.164 * [backup-simplify]: Simplify im into im
10.165 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.165 * [taylor]: Taking taylor expansion of re in re
10.165 * [backup-simplify]: Simplify 0 into 0
10.165 * [backup-simplify]: Simplify 1 into 1
10.165 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.165 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
10.165 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.165 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.165 * [backup-simplify]: Simplify (+ 0 0) into 0
10.165 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.165 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
10.165 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
10.165 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.165 * [taylor]: Taking taylor expansion of im in re
10.166 * [backup-simplify]: Simplify im into im
10.166 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.166 * [taylor]: Taking taylor expansion of re in re
10.166 * [backup-simplify]: Simplify 0 into 0
10.166 * [backup-simplify]: Simplify 1 into 1
10.166 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.166 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
10.166 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.166 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.166 * [backup-simplify]: Simplify (+ 0 0) into 0
10.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.167 * [taylor]: Taking taylor expansion of im in im
10.167 * [backup-simplify]: Simplify 0 into 0
10.167 * [backup-simplify]: Simplify 1 into 1
10.167 * [backup-simplify]: Simplify 0 into 0
10.167 * [taylor]: Taking taylor expansion of 0 in im
10.167 * [backup-simplify]: Simplify 0 into 0
10.167 * [backup-simplify]: Simplify 0 into 0
10.167 * [backup-simplify]: Simplify 1 into 1
10.167 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
10.168 * [backup-simplify]: Simplify (* 1 1) into 1
10.168 * [backup-simplify]: Simplify (+ 0 1) into 1
10.169 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
10.169 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
10.169 * [taylor]: Taking taylor expansion of 1/2 in im
10.169 * [backup-simplify]: Simplify 1/2 into 1/2
10.169 * [taylor]: Taking taylor expansion of im in im
10.169 * [backup-simplify]: Simplify 0 into 0
10.169 * [backup-simplify]: Simplify 1 into 1
10.170 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.171 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.171 * [backup-simplify]: Simplify 0 into 0
10.171 * [backup-simplify]: Simplify 0 into 0
10.171 * [backup-simplify]: Simplify 0 into 0
10.172 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
10.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.173 * [backup-simplify]: Simplify (+ 0 0) into 0
10.173 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
10.173 * [taylor]: Taking taylor expansion of 0 in im
10.173 * [backup-simplify]: Simplify 0 into 0
10.173 * [backup-simplify]: Simplify 0 into 0
10.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.174 * [backup-simplify]: Simplify 0 into 0
10.174 * [backup-simplify]: Simplify 0 into 0
10.174 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
10.174 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
10.174 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
10.174 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
10.175 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
10.175 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
10.175 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.175 * [taylor]: Taking taylor expansion of re in im
10.175 * [backup-simplify]: Simplify re into re
10.175 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.175 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
10.175 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.175 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.175 * [taylor]: Taking taylor expansion of im in im
10.175 * [backup-simplify]: Simplify 0 into 0
10.175 * [backup-simplify]: Simplify 1 into 1
10.175 * [backup-simplify]: Simplify (* 1 1) into 1
10.176 * [backup-simplify]: Simplify (/ 1 1) into 1
10.176 * [backup-simplify]: Simplify (+ 0 1) into 1
10.177 * [backup-simplify]: Simplify (sqrt 1) into 1
10.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.178 * [backup-simplify]: Simplify (+ 0 0) into 0
10.179 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.179 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
10.179 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
10.179 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.179 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.179 * [taylor]: Taking taylor expansion of re in re
10.179 * [backup-simplify]: Simplify 0 into 0
10.179 * [backup-simplify]: Simplify 1 into 1
10.180 * [backup-simplify]: Simplify (* 1 1) into 1
10.180 * [backup-simplify]: Simplify (/ 1 1) into 1
10.180 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.180 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.180 * [taylor]: Taking taylor expansion of im in re
10.180 * [backup-simplify]: Simplify im into im
10.180 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.180 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.181 * [backup-simplify]: Simplify (+ 1 0) into 1
10.181 * [backup-simplify]: Simplify (sqrt 1) into 1
10.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.183 * [backup-simplify]: Simplify (+ 0 0) into 0
10.184 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.184 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
10.184 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
10.184 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.184 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.184 * [taylor]: Taking taylor expansion of re in re
10.184 * [backup-simplify]: Simplify 0 into 0
10.184 * [backup-simplify]: Simplify 1 into 1
10.184 * [backup-simplify]: Simplify (* 1 1) into 1
10.185 * [backup-simplify]: Simplify (/ 1 1) into 1
10.185 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.185 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.185 * [taylor]: Taking taylor expansion of im in re
10.185 * [backup-simplify]: Simplify im into im
10.185 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.185 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.185 * [backup-simplify]: Simplify (+ 1 0) into 1
10.186 * [backup-simplify]: Simplify (sqrt 1) into 1
10.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.188 * [backup-simplify]: Simplify (+ 0 0) into 0
10.189 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.189 * [taylor]: Taking taylor expansion of 1 in im
10.189 * [backup-simplify]: Simplify 1 into 1
10.189 * [taylor]: Taking taylor expansion of 0 in im
10.189 * [backup-simplify]: Simplify 0 into 0
10.189 * [backup-simplify]: Simplify 1 into 1
10.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.191 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
10.192 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.192 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
10.192 * [taylor]: Taking taylor expansion of 1/2 in im
10.192 * [backup-simplify]: Simplify 1/2 into 1/2
10.192 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.192 * [taylor]: Taking taylor expansion of im in im
10.192 * [backup-simplify]: Simplify 0 into 0
10.192 * [backup-simplify]: Simplify 1 into 1
10.193 * [backup-simplify]: Simplify (* 1 1) into 1
10.193 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.194 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.194 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.195 * [backup-simplify]: Simplify 0 into 0
10.195 * [backup-simplify]: Simplify 0 into 0
10.195 * [backup-simplify]: Simplify 0 into 0
10.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.197 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.197 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
10.197 * [backup-simplify]: Simplify (+ 0 0) into 0
10.198 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.198 * [taylor]: Taking taylor expansion of 0 in im
10.198 * [backup-simplify]: Simplify 0 into 0
10.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.200 * [backup-simplify]: Simplify 0 into 0
10.200 * [backup-simplify]: Simplify 0 into 0
10.200 * [backup-simplify]: Simplify 0 into 0
10.200 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
10.200 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
10.200 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
10.200 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
10.201 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
10.201 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
10.201 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.201 * [taylor]: Taking taylor expansion of re in im
10.201 * [backup-simplify]: Simplify re into re
10.201 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.201 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
10.201 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.201 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.201 * [taylor]: Taking taylor expansion of im in im
10.201 * [backup-simplify]: Simplify 0 into 0
10.201 * [backup-simplify]: Simplify 1 into 1
10.201 * [backup-simplify]: Simplify (* 1 1) into 1
10.202 * [backup-simplify]: Simplify (/ 1 1) into 1
10.202 * [backup-simplify]: Simplify (+ 0 1) into 1
10.202 * [backup-simplify]: Simplify (sqrt 1) into 1
10.203 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.204 * [backup-simplify]: Simplify (+ 0 0) into 0
10.205 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.205 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
10.205 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
10.205 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.205 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.205 * [taylor]: Taking taylor expansion of re in re
10.205 * [backup-simplify]: Simplify 0 into 0
10.205 * [backup-simplify]: Simplify 1 into 1
10.205 * [backup-simplify]: Simplify (* 1 1) into 1
10.206 * [backup-simplify]: Simplify (/ 1 1) into 1
10.206 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.206 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.206 * [taylor]: Taking taylor expansion of im in re
10.206 * [backup-simplify]: Simplify im into im
10.206 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.206 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.206 * [backup-simplify]: Simplify (+ 1 0) into 1
10.207 * [backup-simplify]: Simplify (sqrt 1) into 1
10.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.209 * [backup-simplify]: Simplify (+ 0 0) into 0
10.209 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.209 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
10.209 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
10.209 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.210 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.210 * [taylor]: Taking taylor expansion of re in re
10.210 * [backup-simplify]: Simplify 0 into 0
10.210 * [backup-simplify]: Simplify 1 into 1
10.210 * [backup-simplify]: Simplify (* 1 1) into 1
10.210 * [backup-simplify]: Simplify (/ 1 1) into 1
10.210 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.210 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.210 * [taylor]: Taking taylor expansion of im in re
10.210 * [backup-simplify]: Simplify im into im
10.211 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.211 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.211 * [backup-simplify]: Simplify (+ 1 0) into 1
10.212 * [backup-simplify]: Simplify (sqrt 1) into 1
10.212 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.213 * [backup-simplify]: Simplify (+ 0 0) into 0
10.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.214 * [taylor]: Taking taylor expansion of 1 in im
10.214 * [backup-simplify]: Simplify 1 into 1
10.214 * [taylor]: Taking taylor expansion of 0 in im
10.214 * [backup-simplify]: Simplify 0 into 0
10.214 * [backup-simplify]: Simplify 1 into 1
10.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.216 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
10.218 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.218 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
10.218 * [taylor]: Taking taylor expansion of 1/2 in im
10.218 * [backup-simplify]: Simplify 1/2 into 1/2
10.218 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.218 * [taylor]: Taking taylor expansion of im in im
10.218 * [backup-simplify]: Simplify 0 into 0
10.218 * [backup-simplify]: Simplify 1 into 1
10.218 * [backup-simplify]: Simplify (* 1 1) into 1
10.219 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.220 * [backup-simplify]: Simplify 0 into 0
10.220 * [backup-simplify]: Simplify 0 into 0
10.220 * [backup-simplify]: Simplify 0 into 0
10.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.222 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.223 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
10.223 * [backup-simplify]: Simplify (+ 0 0) into 0
10.224 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.224 * [taylor]: Taking taylor expansion of 0 in im
10.224 * [backup-simplify]: Simplify 0 into 0
10.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.225 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.226 * [backup-simplify]: Simplify 0 into 0
10.226 * [backup-simplify]: Simplify 0 into 0
10.226 * [backup-simplify]: Simplify 0 into 0
10.226 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
10.226 * * * [progress]: simplifying candidates
10.226 * * * * [progress]: [ 1 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (pow (+ (* re re) (* im im)) 1/2))))) re)))))>
10.226 * * * * [progress]: [ 2 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (pow (sqrt (+ (* re re) (* im im))) 1))))) re)))))>
10.226 * * * * [progress]: [ 3 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))))) re)))))>
10.226 * * * * [progress]: [ 4 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (log (exp (sqrt (+ (* re re) (* im im))))))))) re)))))>
10.226 * * * * [progress]: [ 5 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))))) re)))))>
10.226 * * * * [progress]: [ 6 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (cbrt (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))))))) re)))))>
10.226 * * * * [progress]: [ 7 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (* (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im))))))))) re)))))>
10.227 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
10.227 * * [simplify]: iters left: 6 (8 enodes)
10.230 * * [simplify]: iters left: 5 (26 enodes)
10.238 * * [simplify]: Extracting #0: cost 1 inf + 0
10.238 * * [simplify]: Extracting #1: cost 4 inf + 0
10.238 * * [simplify]: Extracting #2: cost 7 inf + 0
10.238 * * [simplify]: Extracting #3: cost 10 inf + 0
10.238 * * [simplify]: Extracting #4: cost 14 inf + 0
10.238 * * [simplify]: Extracting #5: cost 10 inf + 84
10.238 * * [simplify]: Extracting #6: cost 8 inf + 166
10.239 * * [simplify]: Extracting #7: cost 4 inf + 854
10.239 * * [simplify]: Extracting #8: cost 1 inf + 1540
10.240 * * [simplify]: Extracting #9: cost 0 inf + 1782
10.240 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im))))
10.240 * [simplify]: Simplified (2 2 1 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))))) re)))))
10.241 * * * * [progress]: [ 8 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))))) re)))))>
10.241 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im))))
10.241 * * [simplify]: iters left: 6 (7 enodes)
10.244 * * [simplify]: iters left: 5 (22 enodes)
10.255 * * [simplify]: Extracting #0: cost 1 inf + 0
10.255 * * [simplify]: Extracting #1: cost 3 inf + 0
10.255 * * [simplify]: Extracting #2: cost 5 inf + 0
10.255 * * [simplify]: Extracting #3: cost 8 inf + 0
10.255 * * [simplify]: Extracting #4: cost 12 inf + 0
10.255 * * [simplify]: Extracting #5: cost 10 inf + 2
10.256 * * [simplify]: Extracting #6: cost 1 inf + 936
10.256 * * [simplify]: Extracting #7: cost 0 inf + 1138
10.256 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im))))
10.256 * [simplify]: Simplified (2 2 1 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))))) re)))))
10.257 * * * * [progress]: [ 9 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (* (sqrt 1) (sqrt (+ (* re re) (* im im)))))))) re)))))>
10.257 * [simplify]: Simplifying (sqrt 1)
10.257 * * [simplify]: iters left: 1 (2 enodes)
10.261 * * [simplify]: Extracting #0: cost 1 inf + 0
10.261 * * [simplify]: Extracting #1: cost 0 inf + 1
10.261 * [simplify]: Simplified to 1
10.261 * [simplify]: Simplified (2 2 1 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (* 1 (sqrt (+ (* re re) (* im im)))))))) re)))))
10.261 * * * * [progress]: [ 10 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (/ (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))))) re)))))>
10.262 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
10.262 * * [simplify]: iters left: 6 (9 enodes)
10.267 * * [simplify]: iters left: 5 (45 enodes)
10.282 * * [simplify]: iters left: 4 (100 enodes)
10.305 * * [simplify]: iters left: 3 (201 enodes)
10.391 * * [simplify]: iters left: 2 (406 enodes)
10.532 * * [simplify]: Extracting #0: cost 1 inf + 0
10.532 * * [simplify]: Extracting #1: cost 3 inf + 0
10.532 * * [simplify]: Extracting #2: cost 6 inf + 0
10.532 * * [simplify]: Extracting #3: cost 62 inf + 0
10.532 * * [simplify]: Extracting #4: cost 166 inf + 460
10.534 * * [simplify]: Extracting #5: cost 131 inf + 12951
10.537 * * [simplify]: Extracting #6: cost 49 inf + 45746
10.542 * * [simplify]: Extracting #7: cost 1 inf + 66256
10.548 * * [simplify]: Extracting #8: cost 0 inf + 65919
10.558 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im)))))
10.558 * [simplify]: Simplified (2 2 1 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (/ (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))))) re)))))
10.558 * * * * [progress]: [ 11 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))))))) re)))))>
10.559 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
10.559 * * [simplify]: iters left: 6 (8 enodes)
10.563 * * [simplify]: iters left: 5 (37 enodes)
10.575 * * [simplify]: iters left: 4 (67 enodes)
10.589 * * [simplify]: iters left: 3 (123 enodes)
10.620 * * [simplify]: iters left: 2 (278 enodes)
10.735 * * [simplify]: Extracting #0: cost 1 inf + 0
10.735 * * [simplify]: Extracting #1: cost 3 inf + 0
10.735 * * [simplify]: Extracting #2: cost 50 inf + 0
10.735 * * [simplify]: Extracting #3: cost 150 inf + 0
10.736 * * [simplify]: Extracting #4: cost 194 inf + 1180
10.739 * * [simplify]: Extracting #5: cost 123 inf + 12421
10.745 * * [simplify]: Extracting #6: cost 12 inf + 33804
10.752 * * [simplify]: Extracting #7: cost 0 inf + 36129
10.759 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
10.759 * [simplify]: Simplified (2 2 1 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))))))) re)))))
10.760 * * * * [progress]: [ 12 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (pow (+ (* re re) (* im im)) (/ 1 2)))))) re)))))>
10.760 * [simplify]: Simplifying (+ (* re re) (* im im))
10.760 * * [simplify]: iters left: 4 (5 enodes)
10.761 * * [simplify]: iters left: 3 (16 enodes)
10.763 * * [simplify]: Extracting #0: cost 1 inf + 0
10.763 * * [simplify]: Extracting #1: cost 4 inf + 0
10.763 * * [simplify]: Extracting #2: cost 8 inf + 0
10.763 * * [simplify]: Extracting #3: cost 4 inf + 84
10.763 * * [simplify]: Extracting #4: cost 0 inf + 410
10.763 * [simplify]: Simplified to (+ (* re re) (* im im))
10.764 * [simplify]: Simplified (2 2 1 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (pow (+ (* re re) (* im im)) (/ 1 2)))))) re)))))
10.764 * * * * [progress]: [ 13 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))))) re)))))>
10.764 * * * * [progress]: [ 14 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (fabs (sqrt (+ (* re re) (* im im)))))))) re)))))>
10.764 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im)))
10.764 * * [simplify]: iters left: 5 (6 enodes)
10.765 * * [simplify]: iters left: 4 (19 enodes)
10.768 * * [simplify]: Extracting #0: cost 1 inf + 0
10.768 * * [simplify]: Extracting #1: cost 3 inf + 0
10.768 * * [simplify]: Extracting #2: cost 6 inf + 0
10.768 * * [simplify]: Extracting #3: cost 10 inf + 0
10.768 * * [simplify]: Extracting #4: cost 6 inf + 84
10.768 * * [simplify]: Extracting #5: cost 0 inf + 734
10.768 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im)))
10.768 * [simplify]: Simplified (2 2 1 2 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (fabs (sqrt (+ (* re re) (* im im)))))))) re)))))
10.768 * * * * [progress]: [ 15 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (* 1 (sqrt (+ (* re re) (* im im)))))))) re)))))>
10.769 * * * * [progress]: [ 16 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (posit16->real (real->posit16 (sqrt (+ (* re re) (* im im))))))))) re)))))>
10.769 * * * * [progress]: [ 17 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (pow (+ (* re re) (* im im)) 1/2))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
10.769 * * * * [progress]: [ 18 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (pow (sqrt (+ (* re re) (* im im))) 1))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
10.769 * * * * [progress]: [ 19 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
10.769 * * * * [progress]: [ 20 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (log (exp (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
10.769 * * * * [progress]: [ 21 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
10.769 * * * * [progress]: [ 22 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (cbrt (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
10.769 * * * * [progress]: [ 23 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
10.769 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
10.769 * * [simplify]: iters left: 6 (8 enodes)
10.771 * * [simplify]: iters left: 5 (26 enodes)
10.774 * * [simplify]: Extracting #0: cost 1 inf + 0
10.774 * * [simplify]: Extracting #1: cost 4 inf + 0
10.774 * * [simplify]: Extracting #2: cost 7 inf + 0
10.774 * * [simplify]: Extracting #3: cost 10 inf + 0
10.774 * * [simplify]: Extracting #4: cost 14 inf + 0
10.774 * * [simplify]: Extracting #5: cost 10 inf + 84
10.774 * * [simplify]: Extracting #6: cost 8 inf + 166
10.775 * * [simplify]: Extracting #7: cost 4 inf + 854
10.775 * * [simplify]: Extracting #8: cost 1 inf + 1540
10.775 * * [simplify]: Extracting #9: cost 0 inf + 1782
10.775 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im))))
10.775 * [simplify]: Simplified (2 2 1 2 1 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))
10.776 * * * * [progress]: [ 24 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
10.776 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im))))
10.776 * * [simplify]: iters left: 6 (7 enodes)
10.777 * * [simplify]: iters left: 5 (22 enodes)
10.780 * * [simplify]: Extracting #0: cost 1 inf + 0
10.780 * * [simplify]: Extracting #1: cost 3 inf + 0
10.780 * * [simplify]: Extracting #2: cost 5 inf + 0
10.780 * * [simplify]: Extracting #3: cost 8 inf + 0
10.780 * * [simplify]: Extracting #4: cost 12 inf + 0
10.780 * * [simplify]: Extracting #5: cost 10 inf + 2
10.781 * * [simplify]: Extracting #6: cost 1 inf + 936
10.781 * * [simplify]: Extracting #7: cost 0 inf + 1138
10.781 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im))))
10.781 * [simplify]: Simplified (2 2 1 2 1 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))
10.781 * * * * [progress]: [ 25 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (sqrt 1) (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
10.781 * [simplify]: Simplifying (sqrt 1)
10.782 * * [simplify]: iters left: 1 (2 enodes)
10.784 * * [simplify]: Extracting #0: cost 1 inf + 0
10.784 * * [simplify]: Extracting #1: cost 0 inf + 1
10.784 * [simplify]: Simplified to 1
10.784 * [simplify]: Simplified (2 2 1 2 1 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* 1 (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))
10.784 * * * * [progress]: [ 26 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (/ (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
10.784 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
10.784 * * [simplify]: iters left: 6 (9 enodes)
10.787 * * [simplify]: iters left: 5 (45 enodes)
10.805 * * [simplify]: iters left: 4 (100 enodes)
10.849 * * [simplify]: iters left: 3 (201 enodes)
10.908 * * [simplify]: iters left: 2 (406 enodes)
11.053 * * [simplify]: Extracting #0: cost 1 inf + 0
11.053 * * [simplify]: Extracting #1: cost 3 inf + 0
11.053 * * [simplify]: Extracting #2: cost 6 inf + 0
11.053 * * [simplify]: Extracting #3: cost 62 inf + 0
11.054 * * [simplify]: Extracting #4: cost 166 inf + 460
11.055 * * [simplify]: Extracting #5: cost 131 inf + 12951
11.059 * * [simplify]: Extracting #6: cost 49 inf + 45746
11.064 * * [simplify]: Extracting #7: cost 1 inf + 66256
11.072 * * [simplify]: Extracting #8: cost 0 inf + 65919
11.082 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im)))))
11.083 * [simplify]: Simplified (2 2 1 2 1 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (/ (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))
11.083 * * * * [progress]: [ 27 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
11.084 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
11.084 * * [simplify]: iters left: 6 (8 enodes)
11.088 * * [simplify]: iters left: 5 (37 enodes)
11.101 * * [simplify]: iters left: 4 (67 enodes)
11.130 * * [simplify]: iters left: 3 (123 enodes)
11.173 * * [simplify]: iters left: 2 (278 enodes)
11.281 * * [simplify]: Extracting #0: cost 1 inf + 0
11.281 * * [simplify]: Extracting #1: cost 3 inf + 0
11.281 * * [simplify]: Extracting #2: cost 50 inf + 0
11.282 * * [simplify]: Extracting #3: cost 150 inf + 0
11.284 * * [simplify]: Extracting #4: cost 194 inf + 1180
11.294 * * [simplify]: Extracting #5: cost 123 inf + 12421
11.306 * * [simplify]: Extracting #6: cost 12 inf + 33804
11.320 * * [simplify]: Extracting #7: cost 0 inf + 36129
11.335 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
11.336 * [simplify]: Simplified (2 2 1 2 1 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))
11.336 * * * * [progress]: [ 28 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (pow (+ (* re re) (* im im)) (/ 1 2)))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
11.337 * [simplify]: Simplifying (+ (* re re) (* im im))
11.337 * * [simplify]: iters left: 4 (5 enodes)
11.339 * * [simplify]: iters left: 3 (16 enodes)
11.343 * * [simplify]: Extracting #0: cost 1 inf + 0
11.343 * * [simplify]: Extracting #1: cost 4 inf + 0
11.343 * * [simplify]: Extracting #2: cost 8 inf + 0
11.343 * * [simplify]: Extracting #3: cost 4 inf + 84
11.344 * * [simplify]: Extracting #4: cost 0 inf + 410
11.344 * [simplify]: Simplified to (+ (* re re) (* im im))
11.344 * [simplify]: Simplified (2 2 1 2 1 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (pow (+ (* re re) (* im im)) (/ 1 2)))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))
11.344 * * * * [progress]: [ 29 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
11.345 * * * * [progress]: [ 30 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (fabs (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
11.345 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im)))
11.345 * * [simplify]: iters left: 5 (6 enodes)
11.348 * * [simplify]: iters left: 4 (19 enodes)
11.353 * * [simplify]: Extracting #0: cost 1 inf + 0
11.353 * * [simplify]: Extracting #1: cost 3 inf + 0
11.353 * * [simplify]: Extracting #2: cost 6 inf + 0
11.353 * * [simplify]: Extracting #3: cost 10 inf + 0
11.353 * * [simplify]: Extracting #4: cost 6 inf + 84
11.353 * * [simplify]: Extracting #5: cost 0 inf + 734
11.353 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im)))
11.353 * [simplify]: Simplified (2 2 1 2 1 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (fabs (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))
11.354 * * * * [progress]: [ 31 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* 1 (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
11.354 * * * * [progress]: [ 32 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (posit16->real (real->posit16 (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
11.354 * * * * [progress]: [ 33 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (pow (+ (* re re) (* im im)) 1/2)) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
11.354 * * * * [progress]: [ 34 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (pow (sqrt (+ (* re re) (* im im))) 1)) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
11.354 * * * * [progress]: [ 35 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
11.354 * * * * [progress]: [ 36 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (log (exp (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
11.354 * * * * [progress]: [ 37 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
11.354 * * * * [progress]: [ 38 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (cbrt (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
11.355 * * * * [progress]: [ 39 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (* (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
11.355 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
11.355 * * [simplify]: iters left: 6 (8 enodes)
11.358 * * [simplify]: iters left: 5 (26 enodes)
11.362 * * [simplify]: Extracting #0: cost 1 inf + 0
11.362 * * [simplify]: Extracting #1: cost 4 inf + 0
11.362 * * [simplify]: Extracting #2: cost 7 inf + 0
11.362 * * [simplify]: Extracting #3: cost 10 inf + 0
11.362 * * [simplify]: Extracting #4: cost 14 inf + 0
11.362 * * [simplify]: Extracting #5: cost 10 inf + 84
11.362 * * [simplify]: Extracting #6: cost 8 inf + 166
11.362 * * [simplify]: Extracting #7: cost 4 inf + 854
11.363 * * [simplify]: Extracting #8: cost 1 inf + 1540
11.363 * * [simplify]: Extracting #9: cost 0 inf + 1782
11.363 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im))))
11.363 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))
11.364 * * * * [progress]: [ 40 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
11.364 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im))))
11.364 * * [simplify]: iters left: 6 (7 enodes)
11.365 * * [simplify]: iters left: 5 (22 enodes)
11.368 * * [simplify]: Extracting #0: cost 1 inf + 0
11.368 * * [simplify]: Extracting #1: cost 3 inf + 0
11.368 * * [simplify]: Extracting #2: cost 5 inf + 0
11.368 * * [simplify]: Extracting #3: cost 8 inf + 0
11.368 * * [simplify]: Extracting #4: cost 12 inf + 0
11.368 * * [simplify]: Extracting #5: cost 10 inf + 2
11.368 * * [simplify]: Extracting #6: cost 1 inf + 936
11.369 * * [simplify]: Extracting #7: cost 0 inf + 1138
11.369 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im))))
11.369 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))
11.369 * * * * [progress]: [ 41 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (* (sqrt 1) (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
11.369 * [simplify]: Simplifying (sqrt 1)
11.369 * * [simplify]: iters left: 1 (2 enodes)
11.371 * * [simplify]: Extracting #0: cost 1 inf + 0
11.372 * * [simplify]: Extracting #1: cost 0 inf + 1
11.372 * [simplify]: Simplified to 1
11.372 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (* 1 (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))
11.372 * * * * [progress]: [ 42 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (/ (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
11.372 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
11.372 * * [simplify]: iters left: 6 (9 enodes)
11.375 * * [simplify]: iters left: 5 (45 enodes)
11.386 * * [simplify]: iters left: 4 (100 enodes)
11.433 * * [simplify]: iters left: 3 (201 enodes)
11.518 * * [simplify]: iters left: 2 (406 enodes)
11.698 * * [simplify]: Extracting #0: cost 1 inf + 0
11.698 * * [simplify]: Extracting #1: cost 3 inf + 0
11.698 * * [simplify]: Extracting #2: cost 6 inf + 0
11.698 * * [simplify]: Extracting #3: cost 62 inf + 0
11.699 * * [simplify]: Extracting #4: cost 166 inf + 460
11.700 * * [simplify]: Extracting #5: cost 131 inf + 12951
11.705 * * [simplify]: Extracting #6: cost 49 inf + 45746
11.715 * * [simplify]: Extracting #7: cost 1 inf + 66256
11.720 * * [simplify]: Extracting #8: cost 0 inf + 65919
11.726 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im)))))
11.727 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (/ (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))
11.727 * * * * [progress]: [ 43 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
11.727 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
11.727 * * [simplify]: iters left: 6 (8 enodes)
11.729 * * [simplify]: iters left: 5 (37 enodes)
11.736 * * [simplify]: iters left: 4 (67 enodes)
11.758 * * [simplify]: iters left: 3 (123 enodes)
11.812 * * [simplify]: iters left: 2 (278 enodes)
11.929 * * [simplify]: Extracting #0: cost 1 inf + 0
11.929 * * [simplify]: Extracting #1: cost 3 inf + 0
11.930 * * [simplify]: Extracting #2: cost 50 inf + 0
11.930 * * [simplify]: Extracting #3: cost 150 inf + 0
11.932 * * [simplify]: Extracting #4: cost 194 inf + 1180
11.937 * * [simplify]: Extracting #5: cost 123 inf + 12421
11.949 * * [simplify]: Extracting #6: cost 12 inf + 33804
11.959 * * [simplify]: Extracting #7: cost 0 inf + 36129
11.970 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
11.970 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))
11.970 * * * * [progress]: [ 44 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (pow (+ (* re re) (* im im)) (/ 1 2))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
11.970 * [simplify]: Simplifying (+ (* re re) (* im im))
11.971 * * [simplify]: iters left: 4 (5 enodes)
11.972 * * [simplify]: iters left: 3 (16 enodes)
11.974 * * [simplify]: Extracting #0: cost 1 inf + 0
11.974 * * [simplify]: Extracting #1: cost 4 inf + 0
11.974 * * [simplify]: Extracting #2: cost 8 inf + 0
11.974 * * [simplify]: Extracting #3: cost 4 inf + 84
11.974 * * [simplify]: Extracting #4: cost 0 inf + 410
11.975 * [simplify]: Simplified to (+ (* re re) (* im im))
11.975 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (pow (+ (* re re) (* im im)) (/ 1 2))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))
11.975 * * * * [progress]: [ 45 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
11.975 * * * * [progress]: [ 46 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (fabs (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
11.975 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im)))
11.975 * * [simplify]: iters left: 5 (6 enodes)
11.977 * * [simplify]: iters left: 4 (19 enodes)
11.979 * * [simplify]: Extracting #0: cost 1 inf + 0
11.979 * * [simplify]: Extracting #1: cost 3 inf + 0
11.979 * * [simplify]: Extracting #2: cost 6 inf + 0
11.979 * * [simplify]: Extracting #3: cost 10 inf + 0
11.979 * * [simplify]: Extracting #4: cost 6 inf + 84
11.979 * * [simplify]: Extracting #5: cost 0 inf + 734
11.979 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im)))
11.980 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (fabs (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))
11.980 * * * * [progress]: [ 47 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (* 1 (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
11.980 * * * * [progress]: [ 48 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (posit16->real (real->posit16 (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
11.980 * * * * [progress]: [ 49 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (pow (+ (* re re) (* im im)) 1/2))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
11.980 * * * * [progress]: [ 50 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (pow (sqrt (+ (* re re) (* im im))) 1))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
11.980 * * * * [progress]: [ 51 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
11.980 * * * * [progress]: [ 52 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (log (exp (sqrt (+ (* re re) (* im im))))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
11.980 * * * * [progress]: [ 53 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
11.980 * * * * [progress]: [ 54 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (cbrt (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
11.980 * * * * [progress]: [ 55 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (* (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im))))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
11.980 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
11.980 * * [simplify]: iters left: 6 (8 enodes)
11.982 * * [simplify]: iters left: 5 (26 enodes)
11.988 * * [simplify]: Extracting #0: cost 1 inf + 0
11.988 * * [simplify]: Extracting #1: cost 4 inf + 0
11.988 * * [simplify]: Extracting #2: cost 7 inf + 0
11.988 * * [simplify]: Extracting #3: cost 10 inf + 0
11.988 * * [simplify]: Extracting #4: cost 14 inf + 0
11.989 * * [simplify]: Extracting #5: cost 10 inf + 84
11.989 * * [simplify]: Extracting #6: cost 8 inf + 166
11.989 * * [simplify]: Extracting #7: cost 4 inf + 854
11.989 * * [simplify]: Extracting #8: cost 1 inf + 1540
11.990 * * [simplify]: Extracting #9: cost 0 inf + 1782
11.991 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im))))
11.991 * [simplify]: Simplified (2 2 1 2 1 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))
11.991 * * * * [progress]: [ 56 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
11.992 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im))))
11.992 * * [simplify]: iters left: 6 (7 enodes)
11.995 * * [simplify]: iters left: 5 (22 enodes)
12.001 * * [simplify]: Extracting #0: cost 1 inf + 0
12.001 * * [simplify]: Extracting #1: cost 3 inf + 0
12.001 * * [simplify]: Extracting #2: cost 5 inf + 0
12.001 * * [simplify]: Extracting #3: cost 8 inf + 0
12.001 * * [simplify]: Extracting #4: cost 12 inf + 0
12.001 * * [simplify]: Extracting #5: cost 10 inf + 2
12.001 * * [simplify]: Extracting #6: cost 1 inf + 936
12.002 * * [simplify]: Extracting #7: cost 0 inf + 1138
12.002 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im))))
12.002 * [simplify]: Simplified (2 2 1 2 1 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))
12.003 * * * * [progress]: [ 57 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (* (sqrt 1) (sqrt (+ (* re re) (* im im)))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
12.003 * [simplify]: Simplifying (sqrt 1)
12.003 * * [simplify]: iters left: 1 (2 enodes)
12.006 * * [simplify]: Extracting #0: cost 1 inf + 0
12.006 * * [simplify]: Extracting #1: cost 0 inf + 1
12.006 * [simplify]: Simplified to 1
12.007 * [simplify]: Simplified (2 2 1 2 1 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (* 1 (sqrt (+ (* re re) (* im im)))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))
12.007 * * * * [progress]: [ 58 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (/ (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
12.007 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
12.007 * * [simplify]: iters left: 6 (9 enodes)
12.013 * * [simplify]: iters left: 5 (45 enodes)
12.034 * * [simplify]: iters left: 4 (100 enodes)
12.077 * * [simplify]: iters left: 3 (201 enodes)
12.135 * * [simplify]: iters left: 2 (406 enodes)
12.301 * * [simplify]: Extracting #0: cost 1 inf + 0
12.301 * * [simplify]: Extracting #1: cost 3 inf + 0
12.301 * * [simplify]: Extracting #2: cost 6 inf + 0
12.301 * * [simplify]: Extracting #3: cost 62 inf + 0
12.302 * * [simplify]: Extracting #4: cost 166 inf + 460
12.303 * * [simplify]: Extracting #5: cost 131 inf + 12951
12.307 * * [simplify]: Extracting #6: cost 49 inf + 45746
12.312 * * [simplify]: Extracting #7: cost 1 inf + 66256
12.318 * * [simplify]: Extracting #8: cost 0 inf + 65919
12.324 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im)))))
12.324 * [simplify]: Simplified (2 2 1 2 1 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (/ (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))
12.324 * * * * [progress]: [ 59 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
12.325 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
12.325 * * [simplify]: iters left: 6 (8 enodes)
12.327 * * [simplify]: iters left: 5 (37 enodes)
12.333 * * [simplify]: iters left: 4 (67 enodes)
12.345 * * [simplify]: iters left: 3 (123 enodes)
12.382 * * [simplify]: iters left: 2 (278 enodes)
12.532 * * [simplify]: Extracting #0: cost 1 inf + 0
12.532 * * [simplify]: Extracting #1: cost 3 inf + 0
12.532 * * [simplify]: Extracting #2: cost 50 inf + 0
12.533 * * [simplify]: Extracting #3: cost 150 inf + 0
12.534 * * [simplify]: Extracting #4: cost 194 inf + 1180
12.536 * * [simplify]: Extracting #5: cost 123 inf + 12421
12.542 * * [simplify]: Extracting #6: cost 12 inf + 33804
12.552 * * [simplify]: Extracting #7: cost 0 inf + 36129
12.566 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
12.566 * [simplify]: Simplified (2 2 1 2 1 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))
12.567 * * * * [progress]: [ 60 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (pow (+ (* re re) (* im im)) (/ 1 2)))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
12.567 * [simplify]: Simplifying (+ (* re re) (* im im))
12.567 * * [simplify]: iters left: 4 (5 enodes)
12.570 * * [simplify]: iters left: 3 (16 enodes)
12.574 * * [simplify]: Extracting #0: cost 1 inf + 0
12.574 * * [simplify]: Extracting #1: cost 4 inf + 0
12.574 * * [simplify]: Extracting #2: cost 8 inf + 0
12.574 * * [simplify]: Extracting #3: cost 4 inf + 84
12.574 * * [simplify]: Extracting #4: cost 0 inf + 410
12.574 * [simplify]: Simplified to (+ (* re re) (* im im))
12.574 * [simplify]: Simplified (2 2 1 2 1 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (pow (+ (* re re) (* im im)) (/ 1 2)))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))
12.575 * * * * [progress]: [ 61 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
12.575 * * * * [progress]: [ 62 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (fabs (sqrt (+ (* re re) (* im im)))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
12.575 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im)))
12.575 * * [simplify]: iters left: 5 (6 enodes)
12.577 * * [simplify]: iters left: 4 (19 enodes)
12.583 * * [simplify]: Extracting #0: cost 1 inf + 0
12.583 * * [simplify]: Extracting #1: cost 3 inf + 0
12.583 * * [simplify]: Extracting #2: cost 6 inf + 0
12.583 * * [simplify]: Extracting #3: cost 10 inf + 0
12.583 * * [simplify]: Extracting #4: cost 6 inf + 84
12.584 * * [simplify]: Extracting #5: cost 0 inf + 734
12.584 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im)))
12.584 * [simplify]: Simplified (2 2 1 2 1 1 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (fabs (sqrt (+ (* re re) (* im im)))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))
12.584 * * * * [progress]: [ 63 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (* 1 (sqrt (+ (* re re) (* im im)))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
12.584 * * * * [progress]: [ 64 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (posit16->real (real->posit16 (sqrt (+ (* re re) (* im im))))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
12.584 * * * * [progress]: [ 65 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt im)))) re)))))>
12.584 * [simplify]: Simplifying im
12.584 * * [simplify]: iters left: 0 (1 enodes)
12.585 * * [simplify]: Extracting #0: cost 1 inf + 0
12.585 * * [simplify]: Extracting #1: cost 0 inf + 1
12.585 * [simplify]: Simplified to im
12.585 * [simplify]: Simplified (2 2 1 2 1 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt im)))) re)))))
12.585 * * * * [progress]: [ 66 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt re)))) re)))))>
12.585 * [simplify]: Simplifying re
12.585 * * [simplify]: iters left: 0 (1 enodes)
12.585 * * [simplify]: Extracting #0: cost 1 inf + 0
12.585 * * [simplify]: Extracting #1: cost 0 inf + 1
12.585 * [simplify]: Simplified to re
12.585 * [simplify]: Simplified (2 2 1 2 1 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt re)))) re)))))
12.586 * * * * [progress]: [ 67 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (* -1 re))))) re)))))>
12.586 * [simplify]: Simplifying (* -1 re)
12.586 * * [simplify]: iters left: 2 (3 enodes)
12.587 * * [simplify]: iters left: 1 (11 enodes)
12.589 * * [simplify]: Extracting #0: cost 1 inf + 0
12.589 * * [simplify]: Extracting #1: cost 4 inf + 0
12.589 * * [simplify]: Extracting #2: cost 0 inf + 84
12.589 * [simplify]: Simplified to (- re)
12.589 * [simplify]: Simplified (2 2 1 2 1 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (- re))))) re)))))
12.589 * * * * [progress]: [ 68 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt im)) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
12.589 * [simplify]: Simplifying im
12.589 * * [simplify]: iters left: 0 (1 enodes)
12.590 * * [simplify]: Extracting #0: cost 1 inf + 0
12.590 * * [simplify]: Extracting #1: cost 0 inf + 1
12.590 * [simplify]: Simplified to im
12.590 * [simplify]: Simplified (2 2 1 2 1 2 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt im)) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))
12.590 * * * * [progress]: [ 69 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt re)) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
12.590 * [simplify]: Simplifying re
12.590 * * [simplify]: iters left: 0 (1 enodes)
12.590 * * [simplify]: Extracting #0: cost 1 inf + 0
12.590 * * [simplify]: Extracting #1: cost 0 inf + 1
12.590 * [simplify]: Simplified to re
12.590 * [simplify]: Simplified (2 2 1 2 1 2 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt re)) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))
12.591 * * * * [progress]: [ 70 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* -1 re))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
12.591 * [simplify]: Simplifying (* -1 re)
12.591 * * [simplify]: iters left: 2 (3 enodes)
12.592 * * [simplify]: iters left: 1 (11 enodes)
12.593 * * [simplify]: Extracting #0: cost 1 inf + 0
12.593 * * [simplify]: Extracting #1: cost 4 inf + 0
12.594 * * [simplify]: Extracting #2: cost 0 inf + 84
12.594 * [simplify]: Simplified to (- re)
12.594 * [simplify]: Simplified (2 2 1 2 1 2 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (- re))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))
12.594 * * * * [progress]: [ 71 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt im) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
12.594 * [simplify]: Simplifying im
12.594 * * [simplify]: iters left: 0 (1 enodes)
12.594 * * [simplify]: Extracting #0: cost 1 inf + 0
12.594 * * [simplify]: Extracting #1: cost 0 inf + 1
12.594 * [simplify]: Simplified to im
12.594 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt im) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))
12.595 * * * * [progress]: [ 72 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt re) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
12.595 * [simplify]: Simplifying re
12.595 * * [simplify]: iters left: 0 (1 enodes)
12.595 * * [simplify]: Extracting #0: cost 1 inf + 0
12.595 * * [simplify]: Extracting #1: cost 0 inf + 1
12.595 * [simplify]: Simplified to re
12.595 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt re) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))
12.595 * * * * [progress]: [ 73 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (* -1 re)) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
12.595 * [simplify]: Simplifying (* -1 re)
12.595 * * [simplify]: iters left: 2 (3 enodes)
12.597 * * [simplify]: iters left: 1 (11 enodes)
12.598 * * [simplify]: Extracting #0: cost 1 inf + 0
12.598 * * [simplify]: Extracting #1: cost 4 inf + 0
12.598 * * [simplify]: Extracting #2: cost 0 inf + 84
12.598 * [simplify]: Simplified to (- re)
12.598 * [simplify]: Simplified (2 2 1 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (- re)) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))
12.599 * * * * [progress]: [ 74 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
12.599 * [simplify]: Simplifying im
12.599 * * [simplify]: iters left: 0 (1 enodes)
12.599 * * [simplify]: Extracting #0: cost 1 inf + 0
12.599 * * [simplify]: Extracting #1: cost 0 inf + 1
12.599 * [simplify]: Simplified to im
12.599 * [simplify]: Simplified (2 2 1 2 1 1 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))
12.599 * * * * [progress]: [ 75 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt re)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
12.599 * [simplify]: Simplifying re
12.599 * * [simplify]: iters left: 0 (1 enodes)
12.600 * * [simplify]: Extracting #0: cost 1 inf + 0
12.600 * * [simplify]: Extracting #1: cost 0 inf + 1
12.600 * [simplify]: Simplified to re
12.600 * [simplify]: Simplified (2 2 1 2 1 1 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt re)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))
12.600 * * * * [progress]: [ 76 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (* -1 re))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
12.600 * [simplify]: Simplifying (* -1 re)
12.600 * * [simplify]: iters left: 2 (3 enodes)
12.601 * * [simplify]: iters left: 1 (11 enodes)
12.603 * * [simplify]: Extracting #0: cost 1 inf + 0
12.603 * * [simplify]: Extracting #1: cost 4 inf + 0
12.603 * * [simplify]: Extracting #2: cost 0 inf + 84
12.603 * [simplify]: Simplified to (- re)
12.603 * [simplify]: Simplified (2 2 1 2 1 1 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (- re))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))
12.603 * * * [progress]: adding candidates to table
14.071 * [progress]: [Phase 3 of 3] Extracting.
14.071 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* re re)) (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (- re))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))>)
14.073 * * * [regime-changes]: Trying 7 branch expressions: (im (* im im) re (+ (sqrt (+ (* re re) (* im im))) re) (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))
14.073 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* re re)) (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (- re))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))>)
14.158 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* re re)) (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (- re))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))>)
14.241 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* re re)) (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (- re))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))>)
14.325 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* re re)) (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (- re))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))>)
14.402 * * * * [regimes]: Trying to branch on (+ (sqrt (+ (* re re) (* im im))) re) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* re re)) (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (- re))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))>)
14.458 * * * * [regimes]: Trying to branch on (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* re re)) (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (- re))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))>)
14.519 * * * * [regimes]: Trying to branch on (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* re re)) (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (- re))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))>)
14.596 * * * * [regimes]: Trying to branch on (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* re re)) (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (- re))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))>)
14.700 * * * [regime]: Found split indices: #<option (#s(si 6 108) #s(si 2 191) #s(si 3 255))>
14.701 * [binary-search]: Improving bounds with binary search for re and (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* re re)) (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (- re))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))>)
14.860 * [regimes]: Found splitpoints: (#s(sp 6 re -7.674549697368973e-232) #s(sp 2 re 7057901.046632865) #s(sp 3 re +nan.0)) , with alts (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* re re)) (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (- re))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))>)
14.860 * [simplify]: Simplifying (if (<= re -7.674549697368973e-232) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (if (<= re 7057901.046632865) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* 0.5 (sqrt (* 2.0 (+ re re))))))
14.861 * * [simplify]: iters left: 6 (28 enodes)
14.863 * * [simplify]: iters left: 5 (36 enodes)
14.866 * * [simplify]: Extracting #0: cost 1 inf + 0
14.866 * * [simplify]: Extracting #1: cost 4 inf + 0
14.866 * * [simplify]: Extracting #2: cost 11 inf + 0
14.866 * * [simplify]: Extracting #3: cost 13 inf + 3
14.866 * * [simplify]: Extracting #4: cost 15 inf + 71
14.866 * * [simplify]: Extracting #5: cost 19 inf + 138
14.866 * * [simplify]: Extracting #6: cost 19 inf + 180
14.867 * * [simplify]: Extracting #7: cost 17 inf + 385
14.867 * * [simplify]: Extracting #8: cost 12 inf + 834
14.867 * * [simplify]: Extracting #9: cost 8 inf + 1562
14.868 * * [simplify]: Extracting #10: cost 5 inf + 2531
14.869 * * [simplify]: Extracting #11: cost 3 inf + 3057
14.870 * * [simplify]: Extracting #12: cost 2 inf + 3381
14.871 * * [simplify]: Extracting #13: cost 1 inf + 3996
14.871 * * [simplify]: Extracting #14: cost 0 inf + 4982
14.872 * [simplify]: Simplified to (if (<= re -7.674549697368973e-232) (* (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) 0.5) (if (<= re 7057901.046632865) (* (sqrt (* 2.0 (+ re (sqrt (+ (* im im) (* re re)))))) 0.5) (* (sqrt (* 2.0 (+ re re))) 0.5)))
18.750 * [regime-testing]: Baseline error score: 37.08481424181217
18.756 * [regime-testing]: Oracle error score: 16.668552913119594
18.766 * [regime-testing]: End program error score: 25.777685740064165
18.877 * [regime-testing]: Target error score: 32.02743505410183