0.726 * [progress]: [Phase 1 of 3] Setting up. 0.005 * * * [progress]: [1/2] Preparing points 0.851 * * * [progress]: [2/2] Setting up program. 0.859 * [progress]: [Phase 2 of 3] Improving. 0.860 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.863 * [simplify]: Simplifying: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.864 * * [simplify]: iteration 0: 12 enodes 0.921 * * [simplify]: iteration 1: 17 enodes 0.927 * * [simplify]: iteration 2: 24 enodes 0.941 * * [simplify]: iteration 3: 30 enodes 0.950 * * [simplify]: iteration 4: 35 enodes 0.959 * * [simplify]: iteration complete: 35 enodes 0.959 * * [simplify]: Extracting #0: cost 1 inf + 0 0.960 * * [simplify]: Extracting #1: cost 3 inf + 0 0.960 * * [simplify]: Extracting #2: cost 3 inf + 1 0.960 * * [simplify]: Extracting #3: cost 8 inf + 1 0.960 * * [simplify]: Extracting #4: cost 11 inf + 2 0.961 * * [simplify]: Extracting #5: cost 7 inf + 209 0.961 * * [simplify]: Extracting #6: cost 9 inf + 209 0.961 * * [simplify]: Extracting #7: cost 9 inf + 250 0.961 * * [simplify]: Extracting #8: cost 7 inf + 292 0.961 * * [simplify]: Extracting #9: cost 5 inf + 576 0.962 * * [simplify]: Extracting #10: cost 2 inf + 1224 0.962 * * [simplify]: Extracting #11: cost 0 inf + 1831 0.963 * [simplify]: Simplified to: (* 0.5 (sqrt (* (- (sqrt (+ (* re re) (* im im))) re) 2.0))) 0.966 * * [progress]: iteration 1 / 4 0.967 * * * [progress]: picking best candidate 0.973 * * * * [pick]: Picked # 0.973 * * * [progress]: localizing error 1.019 * * * [progress]: generating rewritten candidates 1.019 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 1.034 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 1.083 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 1.152 * * * [progress]: generating series expansions 1.153 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 1.163 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 1.163 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 1.164 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 1.164 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 1.164 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.164 * [taylor]: Taking taylor expansion of im in im 1.164 * [backup-simplify]: Simplify 0 into 0 1.164 * [backup-simplify]: Simplify 1 into 1 1.165 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.165 * [taylor]: Taking taylor expansion of re in im 1.165 * [backup-simplify]: Simplify re into re 1.166 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.166 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 1.166 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.167 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.168 * [backup-simplify]: Simplify (+ 0 0) into 0 1.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.168 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 1.168 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 1.168 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.168 * [taylor]: Taking taylor expansion of im in re 1.168 * [backup-simplify]: Simplify im into im 1.168 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.168 * [taylor]: Taking taylor expansion of re in re 1.168 * [backup-simplify]: Simplify 0 into 0 1.168 * [backup-simplify]: Simplify 1 into 1 1.168 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.168 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 1.168 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.168 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.169 * [backup-simplify]: Simplify (+ 0 0) into 0 1.169 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.169 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 1.169 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 1.169 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.169 * [taylor]: Taking taylor expansion of im in re 1.169 * [backup-simplify]: Simplify im into im 1.169 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.169 * [taylor]: Taking taylor expansion of re in re 1.169 * [backup-simplify]: Simplify 0 into 0 1.169 * [backup-simplify]: Simplify 1 into 1 1.169 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.169 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 1.170 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.170 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.170 * [backup-simplify]: Simplify (+ 0 0) into 0 1.170 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.171 * [taylor]: Taking taylor expansion of im in im 1.171 * [backup-simplify]: Simplify 0 into 0 1.171 * [backup-simplify]: Simplify 1 into 1 1.171 * [backup-simplify]: Simplify 0 into 0 1.171 * [taylor]: Taking taylor expansion of 0 in im 1.171 * [backup-simplify]: Simplify 0 into 0 1.171 * [backup-simplify]: Simplify 0 into 0 1.171 * [backup-simplify]: Simplify 1 into 1 1.172 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.173 * [backup-simplify]: Simplify (* 1 1) into 1 1.173 * [backup-simplify]: Simplify (+ 0 1) into 1 1.174 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.174 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.174 * [taylor]: Taking taylor expansion of 1/2 in im 1.174 * [backup-simplify]: Simplify 1/2 into 1/2 1.174 * [taylor]: Taking taylor expansion of im in im 1.174 * [backup-simplify]: Simplify 0 into 0 1.174 * [backup-simplify]: Simplify 1 into 1 1.175 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.176 * [backup-simplify]: Simplify 0 into 0 1.176 * [backup-simplify]: Simplify 0 into 0 1.176 * [backup-simplify]: Simplify 0 into 0 1.177 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.178 * [backup-simplify]: Simplify (+ 0 0) into 0 1.178 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.178 * [taylor]: Taking taylor expansion of 0 in im 1.178 * [backup-simplify]: Simplify 0 into 0 1.178 * [backup-simplify]: Simplify 0 into 0 1.179 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.179 * [backup-simplify]: Simplify 0 into 0 1.179 * [backup-simplify]: Simplify 0 into 0 1.180 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.180 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 1.180 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 1.180 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.180 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.180 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.180 * [taylor]: Taking taylor expansion of re in im 1.180 * [backup-simplify]: Simplify re into re 1.180 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.180 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.180 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.180 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.180 * [taylor]: Taking taylor expansion of im in im 1.180 * [backup-simplify]: Simplify 0 into 0 1.181 * [backup-simplify]: Simplify 1 into 1 1.181 * [backup-simplify]: Simplify (* 1 1) into 1 1.181 * [backup-simplify]: Simplify (/ 1 1) into 1 1.182 * [backup-simplify]: Simplify (+ 0 1) into 1 1.182 * [backup-simplify]: Simplify (sqrt 1) into 1 1.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.184 * [backup-simplify]: Simplify (+ 0 0) into 0 1.217 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.217 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.218 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.218 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.218 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.218 * [taylor]: Taking taylor expansion of re in re 1.218 * [backup-simplify]: Simplify 0 into 0 1.218 * [backup-simplify]: Simplify 1 into 1 1.219 * [backup-simplify]: Simplify (* 1 1) into 1 1.219 * [backup-simplify]: Simplify (/ 1 1) into 1 1.219 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.220 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.220 * [taylor]: Taking taylor expansion of im in re 1.220 * [backup-simplify]: Simplify im into im 1.220 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.220 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.221 * [backup-simplify]: Simplify (+ 1 0) into 1 1.221 * [backup-simplify]: Simplify (sqrt 1) into 1 1.222 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.224 * [backup-simplify]: Simplify (+ 0 0) into 0 1.225 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.225 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.225 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.225 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.225 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.226 * [taylor]: Taking taylor expansion of re in re 1.226 * [backup-simplify]: Simplify 0 into 0 1.226 * [backup-simplify]: Simplify 1 into 1 1.226 * [backup-simplify]: Simplify (* 1 1) into 1 1.227 * [backup-simplify]: Simplify (/ 1 1) into 1 1.227 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.227 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.227 * [taylor]: Taking taylor expansion of im in re 1.227 * [backup-simplify]: Simplify im into im 1.227 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.227 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.228 * [backup-simplify]: Simplify (+ 1 0) into 1 1.228 * [backup-simplify]: Simplify (sqrt 1) into 1 1.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.231 * [backup-simplify]: Simplify (+ 0 0) into 0 1.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.232 * [taylor]: Taking taylor expansion of 1 in im 1.232 * [backup-simplify]: Simplify 1 into 1 1.232 * [taylor]: Taking taylor expansion of 0 in im 1.232 * [backup-simplify]: Simplify 0 into 0 1.233 * [backup-simplify]: Simplify 1 into 1 1.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.236 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.238 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.238 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.238 * [taylor]: Taking taylor expansion of 1/2 in im 1.238 * [backup-simplify]: Simplify 1/2 into 1/2 1.238 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.238 * [taylor]: Taking taylor expansion of im in im 1.238 * [backup-simplify]: Simplify 0 into 0 1.238 * [backup-simplify]: Simplify 1 into 1 1.239 * [backup-simplify]: Simplify (* 1 1) into 1 1.240 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.241 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.242 * [backup-simplify]: Simplify 0 into 0 1.242 * [backup-simplify]: Simplify 0 into 0 1.242 * [backup-simplify]: Simplify 0 into 0 1.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.246 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.246 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.247 * [backup-simplify]: Simplify (+ 0 0) into 0 1.247 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.247 * [taylor]: Taking taylor expansion of 0 in im 1.247 * [backup-simplify]: Simplify 0 into 0 1.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.249 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.250 * [backup-simplify]: Simplify 0 into 0 1.250 * [backup-simplify]: Simplify 0 into 0 1.250 * [backup-simplify]: Simplify 0 into 0 1.250 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.250 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 1.250 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 1.250 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.250 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.250 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.250 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.250 * [taylor]: Taking taylor expansion of re in im 1.250 * [backup-simplify]: Simplify re into re 1.250 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.251 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.251 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.251 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.251 * [taylor]: Taking taylor expansion of im in im 1.251 * [backup-simplify]: Simplify 0 into 0 1.251 * [backup-simplify]: Simplify 1 into 1 1.251 * [backup-simplify]: Simplify (* 1 1) into 1 1.252 * [backup-simplify]: Simplify (/ 1 1) into 1 1.252 * [backup-simplify]: Simplify (+ 0 1) into 1 1.253 * [backup-simplify]: Simplify (sqrt 1) into 1 1.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.255 * [backup-simplify]: Simplify (+ 0 0) into 0 1.255 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.255 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.255 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.255 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.255 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.255 * [taylor]: Taking taylor expansion of re in re 1.256 * [backup-simplify]: Simplify 0 into 0 1.256 * [backup-simplify]: Simplify 1 into 1 1.256 * [backup-simplify]: Simplify (* 1 1) into 1 1.256 * [backup-simplify]: Simplify (/ 1 1) into 1 1.256 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.256 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.257 * [taylor]: Taking taylor expansion of im in re 1.257 * [backup-simplify]: Simplify im into im 1.257 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.257 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.257 * [backup-simplify]: Simplify (+ 1 0) into 1 1.258 * [backup-simplify]: Simplify (sqrt 1) into 1 1.258 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.303 * [backup-simplify]: Simplify (+ 0 0) into 0 1.304 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.304 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.304 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.304 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.304 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.304 * [taylor]: Taking taylor expansion of re in re 1.304 * [backup-simplify]: Simplify 0 into 0 1.304 * [backup-simplify]: Simplify 1 into 1 1.305 * [backup-simplify]: Simplify (* 1 1) into 1 1.305 * [backup-simplify]: Simplify (/ 1 1) into 1 1.305 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.305 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.305 * [taylor]: Taking taylor expansion of im in re 1.306 * [backup-simplify]: Simplify im into im 1.306 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.306 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.307 * [backup-simplify]: Simplify (+ 1 0) into 1 1.307 * [backup-simplify]: Simplify (sqrt 1) into 1 1.308 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.310 * [backup-simplify]: Simplify (+ 0 0) into 0 1.312 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.312 * [taylor]: Taking taylor expansion of 1 in im 1.312 * [backup-simplify]: Simplify 1 into 1 1.312 * [taylor]: Taking taylor expansion of 0 in im 1.312 * [backup-simplify]: Simplify 0 into 0 1.312 * [backup-simplify]: Simplify 1 into 1 1.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.315 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.317 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.317 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.317 * [taylor]: Taking taylor expansion of 1/2 in im 1.317 * [backup-simplify]: Simplify 1/2 into 1/2 1.318 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.318 * [taylor]: Taking taylor expansion of im in im 1.318 * [backup-simplify]: Simplify 0 into 0 1.318 * [backup-simplify]: Simplify 1 into 1 1.318 * [backup-simplify]: Simplify (* 1 1) into 1 1.319 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.321 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.321 * [backup-simplify]: Simplify 0 into 0 1.321 * [backup-simplify]: Simplify 0 into 0 1.321 * [backup-simplify]: Simplify 0 into 0 1.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.323 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.323 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.324 * [backup-simplify]: Simplify (+ 0 0) into 0 1.324 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.324 * [taylor]: Taking taylor expansion of 0 in im 1.324 * [backup-simplify]: Simplify 0 into 0 1.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.326 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.327 * [backup-simplify]: Simplify 0 into 0 1.327 * [backup-simplify]: Simplify 0 into 0 1.327 * [backup-simplify]: Simplify 0 into 0 1.327 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.327 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 1.327 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re) 1.327 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0 1.327 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 1.327 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 1.327 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 1.327 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.327 * [taylor]: Taking taylor expansion of im in im 1.327 * [backup-simplify]: Simplify 0 into 0 1.327 * [backup-simplify]: Simplify 1 into 1 1.327 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.327 * [taylor]: Taking taylor expansion of re in im 1.327 * [backup-simplify]: Simplify re into re 1.328 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.328 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 1.328 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.328 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.328 * [backup-simplify]: Simplify (+ 0 0) into 0 1.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.329 * [taylor]: Taking taylor expansion of re in im 1.329 * [backup-simplify]: Simplify re into re 1.329 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 1.329 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 1.329 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 1.329 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.329 * [taylor]: Taking taylor expansion of im in re 1.329 * [backup-simplify]: Simplify im into im 1.329 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.329 * [taylor]: Taking taylor expansion of re in re 1.329 * [backup-simplify]: Simplify 0 into 0 1.329 * [backup-simplify]: Simplify 1 into 1 1.329 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.329 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 1.329 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.329 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.330 * [backup-simplify]: Simplify (+ 0 0) into 0 1.330 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.330 * [taylor]: Taking taylor expansion of re in re 1.330 * [backup-simplify]: Simplify 0 into 0 1.330 * [backup-simplify]: Simplify 1 into 1 1.330 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 1.330 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 1.330 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 1.330 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.330 * [taylor]: Taking taylor expansion of im in re 1.330 * [backup-simplify]: Simplify im into im 1.330 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.330 * [taylor]: Taking taylor expansion of re in re 1.330 * [backup-simplify]: Simplify 0 into 0 1.330 * [backup-simplify]: Simplify 1 into 1 1.330 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.330 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 1.330 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.330 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.331 * [backup-simplify]: Simplify (+ 0 0) into 0 1.331 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.331 * [taylor]: Taking taylor expansion of re in re 1.331 * [backup-simplify]: Simplify 0 into 0 1.331 * [backup-simplify]: Simplify 1 into 1 1.331 * [backup-simplify]: Simplify (- 0) into 0 1.332 * [backup-simplify]: Simplify (+ im 0) into im 1.332 * [taylor]: Taking taylor expansion of im in im 1.332 * [backup-simplify]: Simplify 0 into 0 1.332 * [backup-simplify]: Simplify 1 into 1 1.332 * [backup-simplify]: Simplify 0 into 0 1.332 * [backup-simplify]: Simplify (- 1) into -1 1.332 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.332 * [taylor]: Taking taylor expansion of -1 in im 1.333 * [backup-simplify]: Simplify -1 into -1 1.333 * [backup-simplify]: Simplify -1 into -1 1.333 * [backup-simplify]: Simplify 1 into 1 1.333 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.333 * [backup-simplify]: Simplify (* 1 1) into 1 1.334 * [backup-simplify]: Simplify (+ 0 1) into 1 1.335 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.335 * [backup-simplify]: Simplify (- 0) into 0 1.335 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 1.335 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.335 * [taylor]: Taking taylor expansion of 1/2 in im 1.335 * [backup-simplify]: Simplify 1/2 into 1/2 1.335 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.335 * [taylor]: Taking taylor expansion of im in im 1.335 * [backup-simplify]: Simplify 0 into 0 1.335 * [backup-simplify]: Simplify 1 into 1 1.336 * [backup-simplify]: Simplify (/ 1 1) into 1 1.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.337 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.337 * [backup-simplify]: Simplify 0 into 0 1.337 * [backup-simplify]: Simplify 0 into 0 1.337 * [backup-simplify]: Simplify 0 into 0 1.338 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.339 * [backup-simplify]: Simplify (+ 0 0) into 0 1.339 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.340 * [backup-simplify]: Simplify (- 0) into 0 1.340 * [backup-simplify]: Simplify (+ 0 0) into 0 1.340 * [taylor]: Taking taylor expansion of 0 in im 1.340 * [backup-simplify]: Simplify 0 into 0 1.340 * [backup-simplify]: Simplify 0 into 0 1.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.342 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.342 * [backup-simplify]: Simplify 0 into 0 1.342 * [backup-simplify]: Simplify 0 into 0 1.343 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 1.343 * [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)) 1.343 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 1.343 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 1.343 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.343 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.343 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.343 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.343 * [taylor]: Taking taylor expansion of re in im 1.343 * [backup-simplify]: Simplify re into re 1.343 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.343 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.343 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.343 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.343 * [taylor]: Taking taylor expansion of im in im 1.343 * [backup-simplify]: Simplify 0 into 0 1.343 * [backup-simplify]: Simplify 1 into 1 1.344 * [backup-simplify]: Simplify (* 1 1) into 1 1.344 * [backup-simplify]: Simplify (/ 1 1) into 1 1.345 * [backup-simplify]: Simplify (+ 0 1) into 1 1.345 * [backup-simplify]: Simplify (sqrt 1) into 1 1.346 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.347 * [backup-simplify]: Simplify (+ 0 0) into 0 1.347 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.347 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.348 * [taylor]: Taking taylor expansion of re in im 1.348 * [backup-simplify]: Simplify re into re 1.348 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.348 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 1.348 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.348 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.348 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.348 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.348 * [taylor]: Taking taylor expansion of re in re 1.348 * [backup-simplify]: Simplify 0 into 0 1.348 * [backup-simplify]: Simplify 1 into 1 1.348 * [backup-simplify]: Simplify (* 1 1) into 1 1.349 * [backup-simplify]: Simplify (/ 1 1) into 1 1.349 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.349 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.349 * [taylor]: Taking taylor expansion of im in re 1.349 * [backup-simplify]: Simplify im into im 1.349 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.349 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.349 * [backup-simplify]: Simplify (+ 1 0) into 1 1.350 * [backup-simplify]: Simplify (sqrt 1) into 1 1.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.353 * [backup-simplify]: Simplify (+ 0 0) into 0 1.353 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.353 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.353 * [taylor]: Taking taylor expansion of re in re 1.354 * [backup-simplify]: Simplify 0 into 0 1.354 * [backup-simplify]: Simplify 1 into 1 1.354 * [backup-simplify]: Simplify (/ 1 1) into 1 1.354 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 1.354 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.354 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.354 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.354 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.354 * [taylor]: Taking taylor expansion of re in re 1.354 * [backup-simplify]: Simplify 0 into 0 1.354 * [backup-simplify]: Simplify 1 into 1 1.355 * [backup-simplify]: Simplify (* 1 1) into 1 1.355 * [backup-simplify]: Simplify (/ 1 1) into 1 1.355 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.355 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.355 * [taylor]: Taking taylor expansion of im in re 1.355 * [backup-simplify]: Simplify im into im 1.355 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.355 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.356 * [backup-simplify]: Simplify (+ 1 0) into 1 1.356 * [backup-simplify]: Simplify (sqrt 1) into 1 1.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.358 * [backup-simplify]: Simplify (+ 0 0) into 0 1.359 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.359 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.359 * [taylor]: Taking taylor expansion of re in re 1.359 * [backup-simplify]: Simplify 0 into 0 1.359 * [backup-simplify]: Simplify 1 into 1 1.360 * [backup-simplify]: Simplify (/ 1 1) into 1 1.360 * [backup-simplify]: Simplify (- 1) into -1 1.360 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.361 * [taylor]: Taking taylor expansion of 0 in im 1.361 * [backup-simplify]: Simplify 0 into 0 1.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.362 * [backup-simplify]: Simplify (- 0) into 0 1.363 * [backup-simplify]: Simplify (+ 0 0) into 0 1.363 * [taylor]: Taking taylor expansion of 0 in im 1.363 * [backup-simplify]: Simplify 0 into 0 1.363 * [backup-simplify]: Simplify 0 into 0 1.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.365 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.367 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.368 * [backup-simplify]: Simplify (- 0) into 0 1.368 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.368 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.368 * [taylor]: Taking taylor expansion of 1/2 in im 1.368 * [backup-simplify]: Simplify 1/2 into 1/2 1.368 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.368 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.368 * [taylor]: Taking taylor expansion of im in im 1.368 * [backup-simplify]: Simplify 0 into 0 1.369 * [backup-simplify]: Simplify 1 into 1 1.369 * [backup-simplify]: Simplify (* 1 1) into 1 1.369 * [backup-simplify]: Simplify (/ 1 1) into 1 1.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.372 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.372 * [backup-simplify]: Simplify 0 into 0 1.372 * [backup-simplify]: Simplify 0 into 0 1.372 * [backup-simplify]: Simplify 0 into 0 1.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.374 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.374 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.375 * [backup-simplify]: Simplify (+ 0 0) into 0 1.376 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.377 * [backup-simplify]: Simplify (- 0) into 0 1.378 * [backup-simplify]: Simplify (+ 0 0) into 0 1.378 * [taylor]: Taking taylor expansion of 0 in im 1.378 * [backup-simplify]: Simplify 0 into 0 1.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.381 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.381 * [backup-simplify]: Simplify 0 into 0 1.381 * [backup-simplify]: Simplify 0 into 0 1.381 * [backup-simplify]: Simplify 0 into 0 1.381 * [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))))) 1.382 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 1.382 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 1.382 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.382 * [taylor]: Taking taylor expansion of re in im 1.382 * [backup-simplify]: Simplify re into re 1.382 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.382 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.382 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.382 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.382 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.382 * [taylor]: Taking taylor expansion of re in im 1.382 * [backup-simplify]: Simplify re into re 1.382 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.382 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.382 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.382 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.382 * [taylor]: Taking taylor expansion of im in im 1.382 * [backup-simplify]: Simplify 0 into 0 1.382 * [backup-simplify]: Simplify 1 into 1 1.383 * [backup-simplify]: Simplify (* 1 1) into 1 1.383 * [backup-simplify]: Simplify (/ 1 1) into 1 1.384 * [backup-simplify]: Simplify (+ 0 1) into 1 1.384 * [backup-simplify]: Simplify (sqrt 1) into 1 1.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.386 * [backup-simplify]: Simplify (+ 0 0) into 0 1.387 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.387 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 1.387 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.387 * [taylor]: Taking taylor expansion of re in re 1.387 * [backup-simplify]: Simplify 0 into 0 1.387 * [backup-simplify]: Simplify 1 into 1 1.388 * [backup-simplify]: Simplify (/ 1 1) into 1 1.388 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.388 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.388 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.388 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.388 * [taylor]: Taking taylor expansion of re in re 1.388 * [backup-simplify]: Simplify 0 into 0 1.388 * [backup-simplify]: Simplify 1 into 1 1.388 * [backup-simplify]: Simplify (* 1 1) into 1 1.389 * [backup-simplify]: Simplify (/ 1 1) into 1 1.389 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.389 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.389 * [taylor]: Taking taylor expansion of im in re 1.389 * [backup-simplify]: Simplify im into im 1.389 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.389 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.390 * [backup-simplify]: Simplify (+ 1 0) into 1 1.390 * [backup-simplify]: Simplify (sqrt 1) into 1 1.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.392 * [backup-simplify]: Simplify (+ 0 0) into 0 1.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.393 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 1.393 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.393 * [taylor]: Taking taylor expansion of re in re 1.393 * [backup-simplify]: Simplify 0 into 0 1.393 * [backup-simplify]: Simplify 1 into 1 1.394 * [backup-simplify]: Simplify (/ 1 1) into 1 1.394 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.394 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.394 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.394 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.394 * [taylor]: Taking taylor expansion of re in re 1.394 * [backup-simplify]: Simplify 0 into 0 1.394 * [backup-simplify]: Simplify 1 into 1 1.394 * [backup-simplify]: Simplify (* 1 1) into 1 1.395 * [backup-simplify]: Simplify (/ 1 1) into 1 1.395 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.395 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.395 * [taylor]: Taking taylor expansion of im in re 1.395 * [backup-simplify]: Simplify im into im 1.395 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.395 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.396 * [backup-simplify]: Simplify (+ 1 0) into 1 1.396 * [backup-simplify]: Simplify (sqrt 1) into 1 1.397 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.398 * [backup-simplify]: Simplify (+ 0 0) into 0 1.399 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.399 * [backup-simplify]: Simplify (+ 1 1) into 2 1.399 * [taylor]: Taking taylor expansion of 2 in im 1.399 * [backup-simplify]: Simplify 2 into 2 1.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.401 * [backup-simplify]: Simplify (+ 0 0) into 0 1.401 * [taylor]: Taking taylor expansion of 0 in im 1.401 * [backup-simplify]: Simplify 0 into 0 1.401 * [backup-simplify]: Simplify 2 into 2 1.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.404 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.409 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.409 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 1.409 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.409 * [taylor]: Taking taylor expansion of 1/2 in im 1.409 * [backup-simplify]: Simplify 1/2 into 1/2 1.409 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.409 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.409 * [taylor]: Taking taylor expansion of im in im 1.409 * [backup-simplify]: Simplify 0 into 0 1.409 * [backup-simplify]: Simplify 1 into 1 1.410 * [backup-simplify]: Simplify (* 1 1) into 1 1.410 * [backup-simplify]: Simplify (/ 1 1) into 1 1.411 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.413 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.413 * [backup-simplify]: Simplify 0 into 0 1.413 * [backup-simplify]: Simplify 0 into 0 1.413 * [backup-simplify]: Simplify 0 into 0 1.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.416 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.417 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.417 * [backup-simplify]: Simplify (+ 0 0) into 0 1.418 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.418 * [backup-simplify]: Simplify (+ 0 0) into 0 1.418 * [taylor]: Taking taylor expansion of 0 in im 1.418 * [backup-simplify]: Simplify 0 into 0 1.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.421 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.422 * [backup-simplify]: Simplify 0 into 0 1.422 * [backup-simplify]: Simplify 0 into 0 1.422 * [backup-simplify]: Simplify 0 into 0 1.422 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 1.422 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 1.422 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) 1.422 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) in (re im) around 0 1.423 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im 1.423 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.423 * [taylor]: Taking taylor expansion of 2.0 in im 1.423 * [backup-simplify]: Simplify 2.0 into 2.0 1.423 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.424 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im 1.424 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 1.424 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 1.424 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 1.424 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.424 * [taylor]: Taking taylor expansion of im in im 1.424 * [backup-simplify]: Simplify 0 into 0 1.424 * [backup-simplify]: Simplify 1 into 1 1.424 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.424 * [taylor]: Taking taylor expansion of re in im 1.424 * [backup-simplify]: Simplify re into re 1.424 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.425 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 1.425 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.425 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.425 * [backup-simplify]: Simplify (+ 0 0) into 0 1.425 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.425 * [taylor]: Taking taylor expansion of re in im 1.425 * [backup-simplify]: Simplify re into re 1.425 * [backup-simplify]: Simplify (- re) into (- re) 1.426 * [backup-simplify]: Simplify (+ re (- re)) into 0 1.426 * [backup-simplify]: Simplify (- 0) into 0 1.426 * [backup-simplify]: Simplify (+ 0 0) into 0 1.427 * [backup-simplify]: Simplify (* 1 1) into 1 1.427 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 1.428 * [backup-simplify]: Simplify (+ 1 0) into 1 1.429 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 1.429 * [backup-simplify]: Simplify (- 0) into 0 1.429 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 1.429 * [backup-simplify]: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 1.430 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.433 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 1.434 * [backup-simplify]: Simplify (+ 0 0) into 0 1.434 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 1.434 * [backup-simplify]: Simplify (- 0) into 0 1.435 * [backup-simplify]: Simplify (+ 0 0) into 0 1.435 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0 1.435 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) in re 1.435 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.435 * [taylor]: Taking taylor expansion of 2.0 in re 1.435 * [backup-simplify]: Simplify 2.0 into 2.0 1.436 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.437 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.437 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re 1.437 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 1.437 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 1.437 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 1.437 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.437 * [taylor]: Taking taylor expansion of im in re 1.437 * [backup-simplify]: Simplify im into im 1.437 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.437 * [taylor]: Taking taylor expansion of re in re 1.437 * [backup-simplify]: Simplify 0 into 0 1.437 * [backup-simplify]: Simplify 1 into 1 1.437 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.437 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 1.437 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.438 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.438 * [backup-simplify]: Simplify (+ 0 0) into 0 1.438 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.438 * [taylor]: Taking taylor expansion of re in re 1.438 * [backup-simplify]: Simplify 0 into 0 1.438 * [backup-simplify]: Simplify 1 into 1 1.439 * [backup-simplify]: Simplify (- 0) into 0 1.439 * [backup-simplify]: Simplify (+ im 0) into im 1.439 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 1.439 * [backup-simplify]: Simplify (- 1) into -1 1.440 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.440 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 1.440 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) in re 1.440 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.440 * [taylor]: Taking taylor expansion of 2.0 in re 1.440 * [backup-simplify]: Simplify 2.0 into 2.0 1.440 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.441 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re 1.441 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 1.441 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 1.441 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 1.441 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.441 * [taylor]: Taking taylor expansion of im in re 1.441 * [backup-simplify]: Simplify im into im 1.441 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.441 * [taylor]: Taking taylor expansion of re in re 1.442 * [backup-simplify]: Simplify 0 into 0 1.442 * [backup-simplify]: Simplify 1 into 1 1.442 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.442 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 1.442 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.442 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.442 * [backup-simplify]: Simplify (+ 0 0) into 0 1.443 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.443 * [taylor]: Taking taylor expansion of re in re 1.443 * [backup-simplify]: Simplify 0 into 0 1.443 * [backup-simplify]: Simplify 1 into 1 1.443 * [backup-simplify]: Simplify (- 0) into 0 1.443 * [backup-simplify]: Simplify (+ im 0) into im 1.443 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 1.444 * [backup-simplify]: Simplify (- 1) into -1 1.444 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.444 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 1.445 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 1.445 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 1.445 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.445 * [taylor]: Taking taylor expansion of 2.0 in im 1.445 * [backup-simplify]: Simplify 2.0 into 2.0 1.445 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.446 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.446 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.446 * [taylor]: Taking taylor expansion of im in im 1.446 * [backup-simplify]: Simplify 0 into 0 1.446 * [backup-simplify]: Simplify 1 into 1 1.447 * [backup-simplify]: Simplify (sqrt 0) into 0 1.449 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.451 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 1.452 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.453 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* -1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) 1.453 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 1.453 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 1.453 * [taylor]: Taking taylor expansion of 1/2 in im 1.453 * [backup-simplify]: Simplify 1/2 into 1/2 1.453 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 1.453 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.453 * [taylor]: Taking taylor expansion of 2.0 in im 1.453 * [backup-simplify]: Simplify 2.0 into 2.0 1.453 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.454 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.454 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.454 * [taylor]: Taking taylor expansion of im in im 1.454 * [backup-simplify]: Simplify 0 into 0 1.454 * [backup-simplify]: Simplify 1 into 1 1.454 * [backup-simplify]: Simplify (/ 1 1) into 1 1.454 * [backup-simplify]: Simplify (sqrt 0) into 0 1.455 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.459 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.460 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.464 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 1.467 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 1.467 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 1.473 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 1.478 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 1.480 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.483 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.484 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.485 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 1.486 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.489 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* im 1) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im re)) (* (- (* +nan.0 (sqrt 2.0))) (* im 1)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (* re im))) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (* +nan.0 (* (sqrt 2.0) im))))))) 1.490 * [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)))) 1.490 * [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 1.490 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 1.490 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.490 * [taylor]: Taking taylor expansion of 2.0 in im 1.490 * [backup-simplify]: Simplify 2.0 into 2.0 1.490 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.490 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 1.490 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 1.491 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.491 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.491 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.491 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.491 * [taylor]: Taking taylor expansion of re in im 1.491 * [backup-simplify]: Simplify re into re 1.491 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.491 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.491 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.491 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.491 * [taylor]: Taking taylor expansion of im in im 1.491 * [backup-simplify]: Simplify 0 into 0 1.491 * [backup-simplify]: Simplify 1 into 1 1.491 * [backup-simplify]: Simplify (* 1 1) into 1 1.491 * [backup-simplify]: Simplify (/ 1 1) into 1 1.492 * [backup-simplify]: Simplify (+ 0 1) into 1 1.492 * [backup-simplify]: Simplify (sqrt 1) into 1 1.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.493 * [backup-simplify]: Simplify (+ 0 0) into 0 1.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.493 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.493 * [taylor]: Taking taylor expansion of re in im 1.493 * [backup-simplify]: Simplify re into re 1.493 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.494 * [backup-simplify]: Simplify (+ 1 0) into 1 1.494 * [backup-simplify]: Simplify (sqrt 0) into 0 1.495 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.495 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 1.495 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.495 * [taylor]: Taking taylor expansion of 2.0 in re 1.495 * [backup-simplify]: Simplify 2.0 into 2.0 1.495 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.495 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.495 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 1.495 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 1.495 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.496 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.496 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.496 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.496 * [taylor]: Taking taylor expansion of re in re 1.496 * [backup-simplify]: Simplify 0 into 0 1.496 * [backup-simplify]: Simplify 1 into 1 1.496 * [backup-simplify]: Simplify (* 1 1) into 1 1.496 * [backup-simplify]: Simplify (/ 1 1) into 1 1.496 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.496 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.496 * [taylor]: Taking taylor expansion of im in re 1.496 * [backup-simplify]: Simplify im into im 1.496 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.496 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.497 * [backup-simplify]: Simplify (+ 1 0) into 1 1.497 * [backup-simplify]: Simplify (sqrt 1) into 1 1.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.498 * [backup-simplify]: Simplify (+ 0 0) into 0 1.498 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.498 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.498 * [taylor]: Taking taylor expansion of re in re 1.498 * [backup-simplify]: Simplify 0 into 0 1.498 * [backup-simplify]: Simplify 1 into 1 1.499 * [backup-simplify]: Simplify (/ 1 1) into 1 1.499 * [backup-simplify]: Simplify (- 1) into -1 1.499 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.500 * [backup-simplify]: Simplify (- 0) into 0 1.500 * [backup-simplify]: Simplify (+ 0 0) into 0 1.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.501 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.502 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.503 * [backup-simplify]: Simplify (- 0) into 0 1.503 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.503 * [backup-simplify]: Simplify (sqrt 0) into 0 1.503 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 1.503 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 1.503 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.504 * [taylor]: Taking taylor expansion of 2.0 in re 1.504 * [backup-simplify]: Simplify 2.0 into 2.0 1.504 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.504 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.504 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 1.504 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 1.504 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.504 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.504 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.504 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.504 * [taylor]: Taking taylor expansion of re in re 1.504 * [backup-simplify]: Simplify 0 into 0 1.504 * [backup-simplify]: Simplify 1 into 1 1.505 * [backup-simplify]: Simplify (* 1 1) into 1 1.505 * [backup-simplify]: Simplify (/ 1 1) into 1 1.505 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.505 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.505 * [taylor]: Taking taylor expansion of im in re 1.505 * [backup-simplify]: Simplify im into im 1.505 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.505 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.505 * [backup-simplify]: Simplify (+ 1 0) into 1 1.506 * [backup-simplify]: Simplify (sqrt 1) into 1 1.506 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.507 * [backup-simplify]: Simplify (+ 0 0) into 0 1.507 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.507 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.507 * [taylor]: Taking taylor expansion of re in re 1.507 * [backup-simplify]: Simplify 0 into 0 1.507 * [backup-simplify]: Simplify 1 into 1 1.507 * [backup-simplify]: Simplify (/ 1 1) into 1 1.508 * [backup-simplify]: Simplify (- 1) into -1 1.508 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.508 * [backup-simplify]: Simplify (- 0) into 0 1.509 * [backup-simplify]: Simplify (+ 0 0) into 0 1.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.510 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.511 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.512 * [backup-simplify]: Simplify (- 0) into 0 1.512 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.512 * [backup-simplify]: Simplify (sqrt 0) into 0 1.512 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 1.513 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 1.513 * [taylor]: Taking taylor expansion of 0 in im 1.513 * [backup-simplify]: Simplify 0 into 0 1.514 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 1.514 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 1.514 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.514 * [taylor]: Taking taylor expansion of +nan.0 in im 1.514 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.514 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.514 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.514 * [taylor]: Taking taylor expansion of 2.0 in im 1.514 * [backup-simplify]: Simplify 2.0 into 2.0 1.514 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.515 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.515 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.515 * [taylor]: Taking taylor expansion of im in im 1.515 * [backup-simplify]: Simplify 0 into 0 1.515 * [backup-simplify]: Simplify 1 into 1 1.515 * [backup-simplify]: Simplify (* 1 1) into 1 1.515 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.516 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.517 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 1.517 * [backup-simplify]: Simplify (- 0) into 0 1.517 * [backup-simplify]: Simplify 0 into 0 1.517 * [backup-simplify]: Simplify 0 into 0 1.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.518 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.518 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.519 * [backup-simplify]: Simplify (+ 0 0) into 0 1.519 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.520 * [backup-simplify]: Simplify (- 0) into 0 1.520 * [backup-simplify]: Simplify (+ 0 0) into 0 1.521 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 1.521 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.522 * [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)))) 1.522 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 1.522 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.522 * [taylor]: Taking taylor expansion of +nan.0 in im 1.522 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.522 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.522 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.522 * [taylor]: Taking taylor expansion of 2.0 in im 1.522 * [backup-simplify]: Simplify 2.0 into 2.0 1.522 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.523 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.523 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.523 * [taylor]: Taking taylor expansion of im in im 1.523 * [backup-simplify]: Simplify 0 into 0 1.523 * [backup-simplify]: Simplify 1 into 1 1.523 * [backup-simplify]: Simplify (* 1 1) into 1 1.524 * [backup-simplify]: Simplify (* 1 1) into 1 1.524 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.525 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.525 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.527 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.528 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.530 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.531 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.531 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 1.532 * [backup-simplify]: Simplify (- 0) into 0 1.532 * [backup-simplify]: Simplify 0 into 0 1.532 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.534 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.534 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 1.534 * [backup-simplify]: Simplify (- 0) into 0 1.534 * [backup-simplify]: Simplify 0 into 0 1.535 * [backup-simplify]: Simplify 0 into 0 1.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.536 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.536 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 1.537 * [backup-simplify]: Simplify (+ 0 0) into 0 1.537 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 1.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.538 * [backup-simplify]: Simplify (- 0) into 0 1.538 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 1.539 * [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))))) 1.539 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.540 * [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)))))) 1.540 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 1.540 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 1.540 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.540 * [taylor]: Taking taylor expansion of +nan.0 in im 1.540 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.540 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.540 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.540 * [taylor]: Taking taylor expansion of 2.0 in im 1.540 * [backup-simplify]: Simplify 2.0 into 2.0 1.541 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.541 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.541 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.541 * [taylor]: Taking taylor expansion of im in im 1.541 * [backup-simplify]: Simplify 0 into 0 1.541 * [backup-simplify]: Simplify 1 into 1 1.542 * [backup-simplify]: Simplify (* 1 1) into 1 1.542 * [backup-simplify]: Simplify (* 1 1) into 1 1.542 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.542 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 1.542 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 1.542 * [taylor]: Taking taylor expansion of +nan.0 in im 1.542 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.542 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 1.542 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.542 * [taylor]: Taking taylor expansion of 2.0 in im 1.542 * [backup-simplify]: Simplify 2.0 into 2.0 1.543 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.543 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.543 * [taylor]: Taking taylor expansion of (pow im 6) in im 1.543 * [taylor]: Taking taylor expansion of im in im 1.543 * [backup-simplify]: Simplify 0 into 0 1.543 * [backup-simplify]: Simplify 1 into 1 1.543 * [backup-simplify]: Simplify (* 1 1) into 1 1.544 * [backup-simplify]: Simplify (* 1 1) into 1 1.544 * [backup-simplify]: Simplify (* 1 1) into 1 1.545 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.546 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.547 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.548 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.550 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.551 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.552 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.553 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 1.554 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.554 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.555 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.556 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.559 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.560 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.564 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.569 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.569 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.570 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.571 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 1.571 * [backup-simplify]: Simplify (- 0) into 0 1.572 * [backup-simplify]: Simplify (+ 0 0) into 0 1.572 * [backup-simplify]: Simplify (- 0) into 0 1.572 * [backup-simplify]: Simplify 0 into 0 1.572 * [backup-simplify]: Simplify 0 into 0 1.572 * [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))))))) 1.572 * [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 1.572 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 1.572 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.572 * [taylor]: Taking taylor expansion of 2.0 in im 1.572 * [backup-simplify]: Simplify 2.0 into 2.0 1.573 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.573 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.573 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 1.573 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 1.573 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.573 * [taylor]: Taking taylor expansion of re in im 1.573 * [backup-simplify]: Simplify re into re 1.573 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.573 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.573 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.573 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.573 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.573 * [taylor]: Taking taylor expansion of re in im 1.573 * [backup-simplify]: Simplify re into re 1.573 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.573 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.573 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.573 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.573 * [taylor]: Taking taylor expansion of im in im 1.573 * [backup-simplify]: Simplify 0 into 0 1.573 * [backup-simplify]: Simplify 1 into 1 1.574 * [backup-simplify]: Simplify (* 1 1) into 1 1.574 * [backup-simplify]: Simplify (/ 1 1) into 1 1.574 * [backup-simplify]: Simplify (+ 0 1) into 1 1.574 * [backup-simplify]: Simplify (sqrt 1) into 1 1.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.576 * [backup-simplify]: Simplify (+ 0 0) into 0 1.576 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.576 * [backup-simplify]: Simplify (+ 0 1) into 1 1.576 * [backup-simplify]: Simplify (sqrt 0) into 0 1.577 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.578 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 1.578 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.578 * [taylor]: Taking taylor expansion of 2.0 in re 1.578 * [backup-simplify]: Simplify 2.0 into 2.0 1.578 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.578 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.578 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 1.578 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 1.578 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.578 * [taylor]: Taking taylor expansion of re in re 1.578 * [backup-simplify]: Simplify 0 into 0 1.578 * [backup-simplify]: Simplify 1 into 1 1.579 * [backup-simplify]: Simplify (/ 1 1) into 1 1.579 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.579 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.579 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.579 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.579 * [taylor]: Taking taylor expansion of re in re 1.579 * [backup-simplify]: Simplify 0 into 0 1.579 * [backup-simplify]: Simplify 1 into 1 1.579 * [backup-simplify]: Simplify (* 1 1) into 1 1.579 * [backup-simplify]: Simplify (/ 1 1) into 1 1.579 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.579 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.579 * [taylor]: Taking taylor expansion of im in re 1.579 * [backup-simplify]: Simplify im into im 1.579 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.579 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.580 * [backup-simplify]: Simplify (+ 1 0) into 1 1.580 * [backup-simplify]: Simplify (sqrt 1) into 1 1.580 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.581 * [backup-simplify]: Simplify (+ 0 0) into 0 1.581 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.582 * [backup-simplify]: Simplify (+ 1 1) into 2 1.582 * [backup-simplify]: Simplify (sqrt 0) into 0 1.583 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 1.583 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 1.583 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.583 * [taylor]: Taking taylor expansion of 2.0 in re 1.583 * [backup-simplify]: Simplify 2.0 into 2.0 1.583 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.584 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.584 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 1.584 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 1.584 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.584 * [taylor]: Taking taylor expansion of re in re 1.584 * [backup-simplify]: Simplify 0 into 0 1.584 * [backup-simplify]: Simplify 1 into 1 1.584 * [backup-simplify]: Simplify (/ 1 1) into 1 1.584 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.584 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.584 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.584 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.584 * [taylor]: Taking taylor expansion of re in re 1.584 * [backup-simplify]: Simplify 0 into 0 1.584 * [backup-simplify]: Simplify 1 into 1 1.584 * [backup-simplify]: Simplify (* 1 1) into 1 1.585 * [backup-simplify]: Simplify (/ 1 1) into 1 1.585 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.585 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.585 * [taylor]: Taking taylor expansion of im in re 1.585 * [backup-simplify]: Simplify im into im 1.585 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.585 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.585 * [backup-simplify]: Simplify (+ 1 0) into 1 1.585 * [backup-simplify]: Simplify (sqrt 1) into 1 1.586 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.586 * [backup-simplify]: Simplify (+ 0 0) into 0 1.587 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.587 * [backup-simplify]: Simplify (+ 1 1) into 2 1.587 * [backup-simplify]: Simplify (sqrt 0) into 0 1.588 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 1.588 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 1.588 * [taylor]: Taking taylor expansion of 0 in im 1.589 * [backup-simplify]: Simplify 0 into 0 1.590 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 1.590 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.590 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.590 * [taylor]: Taking taylor expansion of +nan.0 in im 1.590 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.590 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.590 * [taylor]: Taking taylor expansion of 2.0 in im 1.590 * [backup-simplify]: Simplify 2.0 into 2.0 1.590 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.591 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.591 * [backup-simplify]: Simplify 0 into 0 1.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.591 * [backup-simplify]: Simplify (+ 0 0) into 0 1.593 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.594 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.595 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 1.595 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.595 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.595 * [taylor]: Taking taylor expansion of +nan.0 in im 1.595 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.595 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.595 * [taylor]: Taking taylor expansion of 2.0 in im 1.595 * [backup-simplify]: Simplify 2.0 into 2.0 1.596 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.596 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.597 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 1.598 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.599 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.599 * [backup-simplify]: Simplify 0 into 0 1.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.600 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.601 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.601 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 1.602 * [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)) 1.603 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.604 * [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)))))) 1.604 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 1.604 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 1.604 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.604 * [taylor]: Taking taylor expansion of +nan.0 in im 1.604 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.604 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.604 * [taylor]: Taking taylor expansion of 2.0 in im 1.604 * [backup-simplify]: Simplify 2.0 into 2.0 1.604 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.605 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.605 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 1.605 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.605 * [taylor]: Taking taylor expansion of +nan.0 in im 1.605 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.605 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.605 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.605 * [taylor]: Taking taylor expansion of 2.0 in im 1.605 * [backup-simplify]: Simplify 2.0 into 2.0 1.605 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.606 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.606 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.606 * [taylor]: Taking taylor expansion of im in im 1.606 * [backup-simplify]: Simplify 0 into 0 1.606 * [backup-simplify]: Simplify 1 into 1 1.606 * [backup-simplify]: Simplify (* 1 1) into 1 1.607 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.608 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.608 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 1.608 * [backup-simplify]: Simplify (- 0) into 0 1.609 * [backup-simplify]: Simplify (+ 0 0) into 0 1.609 * [backup-simplify]: Simplify (- 0) into 0 1.609 * [backup-simplify]: Simplify 0 into 0 1.609 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 1.610 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.611 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.612 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 1.612 * [backup-simplify]: Simplify (- 0) into 0 1.612 * [backup-simplify]: Simplify 0 into 0 1.612 * [backup-simplify]: Simplify 0 into 0 1.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.614 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.614 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.615 * [backup-simplify]: Simplify (+ 0 0) into 0 1.615 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.615 * [backup-simplify]: Simplify (+ 0 0) into 0 1.616 * [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))) 1.617 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.618 * [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)))))) 1.618 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 1.618 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 1.618 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.618 * [taylor]: Taking taylor expansion of +nan.0 in im 1.618 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.618 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.618 * [taylor]: Taking taylor expansion of 2.0 in im 1.618 * [backup-simplify]: Simplify 2.0 into 2.0 1.619 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.619 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.619 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 1.619 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.619 * [taylor]: Taking taylor expansion of +nan.0 in im 1.619 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.619 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.619 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.619 * [taylor]: Taking taylor expansion of 2.0 in im 1.619 * [backup-simplify]: Simplify 2.0 into 2.0 1.619 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.620 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.620 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.620 * [taylor]: Taking taylor expansion of im in im 1.620 * [backup-simplify]: Simplify 0 into 0 1.620 * [backup-simplify]: Simplify 1 into 1 1.620 * [backup-simplify]: Simplify (* 1 1) into 1 1.621 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.621 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.622 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.622 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 1.623 * [backup-simplify]: Simplify (- 0) into 0 1.623 * [backup-simplify]: Simplify (+ 0 0) into 0 1.623 * [backup-simplify]: Simplify (- 0) into 0 1.623 * [backup-simplify]: Simplify 0 into 0 1.624 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 1.624 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.626 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.626 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 1.627 * [backup-simplify]: Simplify (- 0) into 0 1.628 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 1.629 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 1.631 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.634 * [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)))))))) 1.634 * * * [progress]: simplifying candidates 1.634 * * * * [progress]: [ 1 / 55 ] simplifiying candidate # 1.634 * * * * [progress]: [ 2 / 55 ] simplifiying candidate # 1.634 * * * * [progress]: [ 3 / 55 ] simplifiying candidate # 1.634 * * * * [progress]: [ 4 / 55 ] simplifiying candidate # 1.635 * * * * [progress]: [ 5 / 55 ] simplifiying candidate # 1.635 * * * * [progress]: [ 6 / 55 ] simplifiying candidate # 1.635 * * * * [progress]: [ 7 / 55 ] simplifiying candidate # 1.635 * * * * [progress]: [ 8 / 55 ] simplifiying candidate # 1.635 * * * * [progress]: [ 9 / 55 ] simplifiying candidate # 1.635 * * * * [progress]: [ 10 / 55 ] simplifiying candidate # 1.635 * * * * [progress]: [ 11 / 55 ] simplifiying candidate # 1.635 * * * * [progress]: [ 12 / 55 ] simplifiying candidate # 1.635 * * * * [progress]: [ 13 / 55 ] simplifiying candidate # 1.635 * * * * [progress]: [ 14 / 55 ] simplifiying candidate # 1.635 * * * * [progress]: [ 15 / 55 ] simplifiying candidate # 1.635 * * * * [progress]: [ 16 / 55 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))) re)))))> 1.635 * * * * [progress]: [ 17 / 55 ] simplifiying candidate # 1.635 * * * * [progress]: [ 18 / 55 ] simplifiying candidate # 1.635 * * * * [progress]: [ 19 / 55 ] simplifiying candidate # 1.635 * * * * [progress]: [ 20 / 55 ] simplifiying candidate # 1.635 * * * * [progress]: [ 21 / 55 ] simplifiying candidate # 1.635 * * * * [progress]: [ 22 / 55 ] simplifiying candidate # 1.635 * * * * [progress]: [ 23 / 55 ] simplifiying candidate # 1.635 * * * * [progress]: [ 24 / 55 ] simplifiying candidate # 1.635 * * * * [progress]: [ 25 / 55 ] simplifiying candidate # 1.635 * * * * [progress]: [ 26 / 55 ] simplifiying candidate # 1.636 * * * * [progress]: [ 27 / 55 ] simplifiying candidate # 1.636 * * * * [progress]: [ 28 / 55 ] simplifiying candidate # 1.636 * * * * [progress]: [ 29 / 55 ] simplifiying candidate # 1.636 * * * * [progress]: [ 30 / 55 ] simplifiying candidate # 1.636 * * * * [progress]: [ 31 / 55 ] simplifiying candidate # 1.636 * * * * [progress]: [ 32 / 55 ] simplifiying candidate #real (real->posit16 (- (sqrt (+ (* re re) (* im im))) re)))))))> 1.636 * * * * [progress]: [ 33 / 55 ] simplifiying candidate # 1.636 * * * * [progress]: [ 34 / 55 ] simplifiying candidate # 1.636 * * * * [progress]: [ 35 / 55 ] simplifiying candidate # 1.636 * * * * [progress]: [ 36 / 55 ] simplifiying candidate # 1.636 * * * * [progress]: [ 37 / 55 ] simplifiying candidate # 1.636 * * * * [progress]: [ 38 / 55 ] simplifiying candidate # 1.636 * * * * [progress]: [ 39 / 55 ] simplifiying candidate # 1.636 * * * * [progress]: [ 40 / 55 ] simplifiying candidate # 1.636 * * * * [progress]: [ 41 / 55 ] simplifiying candidate # 1.636 * * * * [progress]: [ 42 / 55 ] simplifiying candidate # 1.636 * * * * [progress]: [ 43 / 55 ] simplifiying candidate # 1.636 * * * * [progress]: [ 44 / 55 ] simplifiying candidate # 1.636 * * * * [progress]: [ 45 / 55 ] simplifiying candidate # 1.636 * * * * [progress]: [ 46 / 55 ] simplifiying candidate #real (real->posit16 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))))> 1.636 * * * * [progress]: [ 47 / 55 ] simplifiying candidate # 1.636 * * * * [progress]: [ 48 / 55 ] simplifiying candidate # 1.636 * * * * [progress]: [ 49 / 55 ] simplifiying candidate # 1.636 * * * * [progress]: [ 50 / 55 ] simplifiying candidate # 1.636 * * * * [progress]: [ 51 / 55 ] simplifiying candidate # 1.637 * * * * [progress]: [ 52 / 55 ] simplifiying candidate # 1.637 * * * * [progress]: [ 53 / 55 ] simplifiying candidate # 1.637 * * * * [progress]: [ 54 / 55 ] simplifiying candidate # 1.637 * * * * [progress]: [ 55 / 55 ] simplifiying candidate # 1.637 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- re) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (- re) (real->posit16 (- (sqrt (+ (* re re) (* im im))) re)) (log (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (* (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (real->posit16 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) im re (* -1 re) (- im re) 0 (* -2 re) (- (+ (* +nan.0 (* (sqrt 2.0) (* re im))) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (* +nan.0 (* (sqrt 2.0) im))))))) 0 (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 1.639 * * [simplify]: iteration 0: 109 enodes 1.665 * * [simplify]: iteration 1: 231 enodes 1.765 * * [simplify]: iteration 2: 631 enodes 2.013 * * [simplify]: iteration 3: 2212 enodes 2.845 * * [simplify]: iteration complete: 5000 enodes 2.845 * * [simplify]: Extracting #0: cost 50 inf + 0 2.846 * * [simplify]: Extracting #1: cost 187 inf + 5 2.849 * * [simplify]: Extracting #2: cost 751 inf + 2506 2.864 * * [simplify]: Extracting #3: cost 1162 inf + 38184 2.899 * * [simplify]: Extracting #4: cost 454 inf + 188859 2.986 * * [simplify]: Extracting #5: cost 90 inf + 269852 3.058 * * [simplify]: Extracting #6: cost 46 inf + 282865 3.157 * * [simplify]: Extracting #7: cost 30 inf + 286973 3.219 * * [simplify]: Extracting #8: cost 5 inf + 291286 3.281 * * [simplify]: Extracting #9: cost 0 inf + 292751 3.390 * [simplify]: Simplified to: (log (sqrt (+ (* im im) (* re re)))) (exp (sqrt (+ (* im im) (* re re)))) (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re)))) (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (fabs (cbrt (+ (* im im) (* re re)))) (sqrt (cbrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) 1 (sqrt (+ (* im im) (* re re))) (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* re re) (- (* re re) (* im im))) (* (* im im) (* im im)))) (sqrt (* (+ (* im im) (* re re)) (- (* re re) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (real->posit16 (sqrt (+ (* im im) (* re re)))) (exp (- (sqrt (+ (* im im) (* re re))) re)) (log (- (sqrt (+ (* im im) (* re re))) re)) (exp (- (sqrt (+ (* im im) (* re re))) re)) (* (cbrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (- (sqrt (+ (* im im) (* re re))) re)) (* (- (sqrt (+ (* im im) (* re re))) re) (* (- (sqrt (+ (* im im) (* re re))) re) (- (sqrt (+ (* im im) (* re re))) re))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (- (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* re (* re re))) (+ (+ (* im im) (* re re)) (* re (+ (sqrt (+ (* im im) (* re re))) re))) (- re) (+ (* im im) 0) (+ (sqrt (+ (* im im) (* re re))) re) (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re)) (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re)) (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re)) (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re)) (- (sqrt (+ (* im im) (* re re))) re) (- re) (real->posit16 (- (sqrt (+ (* im im) (* re re))) re)) (log (sqrt (* (- (sqrt (+ (* im im) (* re re))) re) 2.0))) (exp (sqrt (* (- (sqrt (+ (* im im) (* re re))) re) 2.0))) (* (cbrt (sqrt (* (- (sqrt (+ (* im im) (* re re))) re) 2.0))) (cbrt (sqrt (* (- (sqrt (+ (* im im) (* re re))) re) 2.0)))) (cbrt (sqrt (* (- (sqrt (+ (* im im) (* re re))) re) 2.0))) (* (sqrt (* (- (sqrt (+ (* im im) (* re re))) re) 2.0)) (* (- (sqrt (+ (* im im) (* re re))) re) 2.0)) (sqrt 2.0) (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (sqrt (* (- (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* re (* re re))) 2.0)) (sqrt (+ (+ (* im im) (* re re)) (* re (+ (sqrt (+ (* im im) (* re re))) re)))) (sqrt (* (+ (* im im) 0) 2.0)) (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) 1/2 1/2 (sqrt (sqrt (* (- (sqrt (+ (* im im) (* re re))) re) 2.0))) (sqrt (sqrt (* (- (sqrt (+ (* im im) (* re re))) re) 2.0))) (real->posit16 (sqrt (* (- (sqrt (+ (* im im) (* re re))) re) 2.0))) im re (- re) (- im re) 0 (* -2 re) (- (- (* (* (* im +nan.0) (sqrt 2.0)) (- re im))) (* (* im +nan.0) (sqrt 2.0))) 0 (* +nan.0 (+ (- (sqrt 2.0)) (- (/ (sqrt 2.0) re) (/ (sqrt 2.0) (* re re))))) 3.398 * * * [progress]: adding candidates to table 3.706 * * [progress]: iteration 2 / 4 3.706 * * * [progress]: picking best candidate 3.741 * * * * [pick]: Picked # 3.741 * * * [progress]: localizing error 3.789 * * * [progress]: generating rewritten candidates 3.789 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1) 3.799 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1) 3.805 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 3.853 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1) 3.908 * * * [progress]: generating series expansions 3.908 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1) 3.909 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 3.909 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 3.909 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 3.909 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 3.909 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.909 * [taylor]: Taking taylor expansion of im in im 3.909 * [backup-simplify]: Simplify 0 into 0 3.909 * [backup-simplify]: Simplify 1 into 1 3.909 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.909 * [taylor]: Taking taylor expansion of re in im 3.909 * [backup-simplify]: Simplify re into re 3.909 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.909 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 3.909 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.909 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.909 * [backup-simplify]: Simplify (+ 0 0) into 0 3.910 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.910 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.910 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.910 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.910 * [taylor]: Taking taylor expansion of im in re 3.910 * [backup-simplify]: Simplify im into im 3.910 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.910 * [taylor]: Taking taylor expansion of re in re 3.910 * [backup-simplify]: Simplify 0 into 0 3.910 * [backup-simplify]: Simplify 1 into 1 3.910 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.910 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.910 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.910 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.910 * [backup-simplify]: Simplify (+ 0 0) into 0 3.910 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.910 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.910 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.910 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.910 * [taylor]: Taking taylor expansion of im in re 3.910 * [backup-simplify]: Simplify im into im 3.910 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.910 * [taylor]: Taking taylor expansion of re in re 3.910 * [backup-simplify]: Simplify 0 into 0 3.910 * [backup-simplify]: Simplify 1 into 1 3.910 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.910 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.910 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.910 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.911 * [backup-simplify]: Simplify (+ 0 0) into 0 3.911 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.911 * [taylor]: Taking taylor expansion of im in im 3.911 * [backup-simplify]: Simplify 0 into 0 3.911 * [backup-simplify]: Simplify 1 into 1 3.911 * [backup-simplify]: Simplify 0 into 0 3.911 * [taylor]: Taking taylor expansion of 0 in im 3.911 * [backup-simplify]: Simplify 0 into 0 3.911 * [backup-simplify]: Simplify 0 into 0 3.911 * [backup-simplify]: Simplify 1 into 1 3.911 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.912 * [backup-simplify]: Simplify (* 1 1) into 1 3.912 * [backup-simplify]: Simplify (+ 0 1) into 1 3.912 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.912 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.912 * [taylor]: Taking taylor expansion of 1/2 in im 3.912 * [backup-simplify]: Simplify 1/2 into 1/2 3.912 * [taylor]: Taking taylor expansion of im in im 3.912 * [backup-simplify]: Simplify 0 into 0 3.912 * [backup-simplify]: Simplify 1 into 1 3.913 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.913 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.913 * [backup-simplify]: Simplify 0 into 0 3.913 * [backup-simplify]: Simplify 0 into 0 3.913 * [backup-simplify]: Simplify 0 into 0 3.914 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.914 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.914 * [backup-simplify]: Simplify (+ 0 0) into 0 3.915 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.915 * [taylor]: Taking taylor expansion of 0 in im 3.915 * [backup-simplify]: Simplify 0 into 0 3.915 * [backup-simplify]: Simplify 0 into 0 3.915 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.915 * [backup-simplify]: Simplify 0 into 0 3.915 * [backup-simplify]: Simplify 0 into 0 3.915 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 3.915 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.915 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 3.915 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.916 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.916 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.916 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.916 * [taylor]: Taking taylor expansion of re in im 3.916 * [backup-simplify]: Simplify re into re 3.916 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.916 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.916 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.916 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.916 * [taylor]: Taking taylor expansion of im in im 3.916 * [backup-simplify]: Simplify 0 into 0 3.916 * [backup-simplify]: Simplify 1 into 1 3.916 * [backup-simplify]: Simplify (* 1 1) into 1 3.916 * [backup-simplify]: Simplify (/ 1 1) into 1 3.916 * [backup-simplify]: Simplify (+ 0 1) into 1 3.917 * [backup-simplify]: Simplify (sqrt 1) into 1 3.917 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.918 * [backup-simplify]: Simplify (+ 0 0) into 0 3.918 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.918 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.918 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.918 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.918 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.918 * [taylor]: Taking taylor expansion of re in re 3.918 * [backup-simplify]: Simplify 0 into 0 3.918 * [backup-simplify]: Simplify 1 into 1 3.919 * [backup-simplify]: Simplify (* 1 1) into 1 3.919 * [backup-simplify]: Simplify (/ 1 1) into 1 3.919 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.919 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.919 * [taylor]: Taking taylor expansion of im in re 3.919 * [backup-simplify]: Simplify im into im 3.919 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.919 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.919 * [backup-simplify]: Simplify (+ 1 0) into 1 3.920 * [backup-simplify]: Simplify (sqrt 1) into 1 3.920 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.921 * [backup-simplify]: Simplify (+ 0 0) into 0 3.921 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.921 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.921 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.921 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.921 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.921 * [taylor]: Taking taylor expansion of re in re 3.921 * [backup-simplify]: Simplify 0 into 0 3.921 * [backup-simplify]: Simplify 1 into 1 3.921 * [backup-simplify]: Simplify (* 1 1) into 1 3.922 * [backup-simplify]: Simplify (/ 1 1) into 1 3.922 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.922 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.922 * [taylor]: Taking taylor expansion of im in re 3.922 * [backup-simplify]: Simplify im into im 3.922 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.922 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.922 * [backup-simplify]: Simplify (+ 1 0) into 1 3.922 * [backup-simplify]: Simplify (sqrt 1) into 1 3.923 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.924 * [backup-simplify]: Simplify (+ 0 0) into 0 3.924 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.924 * [taylor]: Taking taylor expansion of 1 in im 3.924 * [backup-simplify]: Simplify 1 into 1 3.924 * [taylor]: Taking taylor expansion of 0 in im 3.924 * [backup-simplify]: Simplify 0 into 0 3.924 * [backup-simplify]: Simplify 1 into 1 3.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.925 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.926 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.926 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.926 * [taylor]: Taking taylor expansion of 1/2 in im 3.926 * [backup-simplify]: Simplify 1/2 into 1/2 3.926 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.926 * [taylor]: Taking taylor expansion of im in im 3.926 * [backup-simplify]: Simplify 0 into 0 3.926 * [backup-simplify]: Simplify 1 into 1 3.927 * [backup-simplify]: Simplify (* 1 1) into 1 3.927 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.927 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.928 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.928 * [backup-simplify]: Simplify 0 into 0 3.928 * [backup-simplify]: Simplify 0 into 0 3.928 * [backup-simplify]: Simplify 0 into 0 3.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.929 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.929 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.929 * [backup-simplify]: Simplify (+ 0 0) into 0 3.930 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.930 * [taylor]: Taking taylor expansion of 0 in im 3.930 * [backup-simplify]: Simplify 0 into 0 3.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.931 * [backup-simplify]: Simplify 0 into 0 3.931 * [backup-simplify]: Simplify 0 into 0 3.931 * [backup-simplify]: Simplify 0 into 0 3.931 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 3.931 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.931 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 3.931 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.931 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.931 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.931 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.931 * [taylor]: Taking taylor expansion of re in im 3.931 * [backup-simplify]: Simplify re into re 3.931 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.932 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.932 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.932 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.932 * [taylor]: Taking taylor expansion of im in im 3.932 * [backup-simplify]: Simplify 0 into 0 3.932 * [backup-simplify]: Simplify 1 into 1 3.932 * [backup-simplify]: Simplify (* 1 1) into 1 3.932 * [backup-simplify]: Simplify (/ 1 1) into 1 3.933 * [backup-simplify]: Simplify (+ 0 1) into 1 3.933 * [backup-simplify]: Simplify (sqrt 1) into 1 3.934 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.935 * [backup-simplify]: Simplify (+ 0 0) into 0 3.936 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.936 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.936 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.936 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.936 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.936 * [taylor]: Taking taylor expansion of re in re 3.936 * [backup-simplify]: Simplify 0 into 0 3.936 * [backup-simplify]: Simplify 1 into 1 3.936 * [backup-simplify]: Simplify (* 1 1) into 1 3.937 * [backup-simplify]: Simplify (/ 1 1) into 1 3.937 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.937 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.937 * [taylor]: Taking taylor expansion of im in re 3.937 * [backup-simplify]: Simplify im into im 3.937 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.937 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.937 * [backup-simplify]: Simplify (+ 1 0) into 1 3.938 * [backup-simplify]: Simplify (sqrt 1) into 1 3.938 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.940 * [backup-simplify]: Simplify (+ 0 0) into 0 3.940 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.940 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.940 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.940 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.940 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.941 * [taylor]: Taking taylor expansion of re in re 3.941 * [backup-simplify]: Simplify 0 into 0 3.941 * [backup-simplify]: Simplify 1 into 1 3.941 * [backup-simplify]: Simplify (* 1 1) into 1 3.941 * [backup-simplify]: Simplify (/ 1 1) into 1 3.941 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.941 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.941 * [taylor]: Taking taylor expansion of im in re 3.941 * [backup-simplify]: Simplify im into im 3.942 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.942 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.942 * [backup-simplify]: Simplify (+ 1 0) into 1 3.942 * [backup-simplify]: Simplify (sqrt 1) into 1 3.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.944 * [backup-simplify]: Simplify (+ 0 0) into 0 3.945 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.945 * [taylor]: Taking taylor expansion of 1 in im 3.945 * [backup-simplify]: Simplify 1 into 1 3.945 * [taylor]: Taking taylor expansion of 0 in im 3.945 * [backup-simplify]: Simplify 0 into 0 3.945 * [backup-simplify]: Simplify 1 into 1 3.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.947 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.949 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.949 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.949 * [taylor]: Taking taylor expansion of 1/2 in im 3.949 * [backup-simplify]: Simplify 1/2 into 1/2 3.949 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.949 * [taylor]: Taking taylor expansion of im in im 3.949 * [backup-simplify]: Simplify 0 into 0 3.949 * [backup-simplify]: Simplify 1 into 1 3.949 * [backup-simplify]: Simplify (* 1 1) into 1 3.950 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.950 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.951 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.951 * [backup-simplify]: Simplify 0 into 0 3.951 * [backup-simplify]: Simplify 0 into 0 3.951 * [backup-simplify]: Simplify 0 into 0 3.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.954 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.954 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.955 * [backup-simplify]: Simplify (+ 0 0) into 0 3.955 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.955 * [taylor]: Taking taylor expansion of 0 in im 3.955 * [backup-simplify]: Simplify 0 into 0 3.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.957 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.957 * [backup-simplify]: Simplify 0 into 0 3.957 * [backup-simplify]: Simplify 0 into 0 3.957 * [backup-simplify]: Simplify 0 into 0 3.957 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 3.958 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1) 3.958 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 3.958 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 3.958 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 3.958 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 3.958 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.958 * [taylor]: Taking taylor expansion of im in im 3.958 * [backup-simplify]: Simplify 0 into 0 3.958 * [backup-simplify]: Simplify 1 into 1 3.958 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.958 * [taylor]: Taking taylor expansion of re in im 3.958 * [backup-simplify]: Simplify re into re 3.958 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.958 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 3.958 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.958 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.959 * [backup-simplify]: Simplify (+ 0 0) into 0 3.959 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.959 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.959 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.959 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.959 * [taylor]: Taking taylor expansion of im in re 3.959 * [backup-simplify]: Simplify im into im 3.959 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.959 * [taylor]: Taking taylor expansion of re in re 3.959 * [backup-simplify]: Simplify 0 into 0 3.959 * [backup-simplify]: Simplify 1 into 1 3.959 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.959 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.959 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.959 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.960 * [backup-simplify]: Simplify (+ 0 0) into 0 3.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.960 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.960 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.960 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.960 * [taylor]: Taking taylor expansion of im in re 3.960 * [backup-simplify]: Simplify im into im 3.960 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.960 * [taylor]: Taking taylor expansion of re in re 3.960 * [backup-simplify]: Simplify 0 into 0 3.960 * [backup-simplify]: Simplify 1 into 1 3.960 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.960 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.960 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.960 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.961 * [backup-simplify]: Simplify (+ 0 0) into 0 3.961 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.961 * [taylor]: Taking taylor expansion of im in im 3.961 * [backup-simplify]: Simplify 0 into 0 3.961 * [backup-simplify]: Simplify 1 into 1 3.961 * [backup-simplify]: Simplify 0 into 0 3.961 * [taylor]: Taking taylor expansion of 0 in im 3.961 * [backup-simplify]: Simplify 0 into 0 3.961 * [backup-simplify]: Simplify 0 into 0 3.961 * [backup-simplify]: Simplify 1 into 1 3.962 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.962 * [backup-simplify]: Simplify (* 1 1) into 1 3.963 * [backup-simplify]: Simplify (+ 0 1) into 1 3.963 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.963 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.963 * [taylor]: Taking taylor expansion of 1/2 in im 3.963 * [backup-simplify]: Simplify 1/2 into 1/2 3.963 * [taylor]: Taking taylor expansion of im in im 3.963 * [backup-simplify]: Simplify 0 into 0 3.963 * [backup-simplify]: Simplify 1 into 1 3.964 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.965 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.965 * [backup-simplify]: Simplify 0 into 0 3.965 * [backup-simplify]: Simplify 0 into 0 3.965 * [backup-simplify]: Simplify 0 into 0 3.966 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.966 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.967 * [backup-simplify]: Simplify (+ 0 0) into 0 3.967 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.967 * [taylor]: Taking taylor expansion of 0 in im 3.967 * [backup-simplify]: Simplify 0 into 0 3.967 * [backup-simplify]: Simplify 0 into 0 3.968 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.968 * [backup-simplify]: Simplify 0 into 0 3.968 * [backup-simplify]: Simplify 0 into 0 3.968 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 3.968 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.968 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 3.968 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.968 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.968 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.968 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.969 * [taylor]: Taking taylor expansion of re in im 3.969 * [backup-simplify]: Simplify re into re 3.969 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.969 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.969 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.969 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.969 * [taylor]: Taking taylor expansion of im in im 3.969 * [backup-simplify]: Simplify 0 into 0 3.969 * [backup-simplify]: Simplify 1 into 1 3.969 * [backup-simplify]: Simplify (* 1 1) into 1 3.970 * [backup-simplify]: Simplify (/ 1 1) into 1 3.970 * [backup-simplify]: Simplify (+ 0 1) into 1 3.970 * [backup-simplify]: Simplify (sqrt 1) into 1 3.971 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.972 * [backup-simplify]: Simplify (+ 0 0) into 0 3.973 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.973 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.973 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.973 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.973 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.973 * [taylor]: Taking taylor expansion of re in re 3.973 * [backup-simplify]: Simplify 0 into 0 3.973 * [backup-simplify]: Simplify 1 into 1 3.973 * [backup-simplify]: Simplify (* 1 1) into 1 3.974 * [backup-simplify]: Simplify (/ 1 1) into 1 3.974 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.974 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.974 * [taylor]: Taking taylor expansion of im in re 3.974 * [backup-simplify]: Simplify im into im 3.974 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.974 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.975 * [backup-simplify]: Simplify (+ 1 0) into 1 3.975 * [backup-simplify]: Simplify (sqrt 1) into 1 3.976 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.977 * [backup-simplify]: Simplify (+ 0 0) into 0 3.977 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.977 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.977 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.977 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.977 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.977 * [taylor]: Taking taylor expansion of re in re 3.978 * [backup-simplify]: Simplify 0 into 0 3.978 * [backup-simplify]: Simplify 1 into 1 3.978 * [backup-simplify]: Simplify (* 1 1) into 1 3.978 * [backup-simplify]: Simplify (/ 1 1) into 1 3.978 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.978 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.978 * [taylor]: Taking taylor expansion of im in re 3.978 * [backup-simplify]: Simplify im into im 3.978 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.979 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.979 * [backup-simplify]: Simplify (+ 1 0) into 1 3.979 * [backup-simplify]: Simplify (sqrt 1) into 1 3.980 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.981 * [backup-simplify]: Simplify (+ 0 0) into 0 3.985 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.985 * [taylor]: Taking taylor expansion of 1 in im 3.985 * [backup-simplify]: Simplify 1 into 1 3.985 * [taylor]: Taking taylor expansion of 0 in im 3.985 * [backup-simplify]: Simplify 0 into 0 3.985 * [backup-simplify]: Simplify 1 into 1 3.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.987 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.988 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.988 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.988 * [taylor]: Taking taylor expansion of 1/2 in im 3.989 * [backup-simplify]: Simplify 1/2 into 1/2 3.989 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.989 * [taylor]: Taking taylor expansion of im in im 3.989 * [backup-simplify]: Simplify 0 into 0 3.989 * [backup-simplify]: Simplify 1 into 1 3.989 * [backup-simplify]: Simplify (* 1 1) into 1 3.989 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.990 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.991 * [backup-simplify]: Simplify 0 into 0 3.991 * [backup-simplify]: Simplify 0 into 0 3.991 * [backup-simplify]: Simplify 0 into 0 3.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.993 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.993 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.994 * [backup-simplify]: Simplify (+ 0 0) into 0 3.995 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.995 * [taylor]: Taking taylor expansion of 0 in im 3.995 * [backup-simplify]: Simplify 0 into 0 3.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.997 * [backup-simplify]: Simplify 0 into 0 3.997 * [backup-simplify]: Simplify 0 into 0 3.997 * [backup-simplify]: Simplify 0 into 0 3.997 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 3.997 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.997 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 3.997 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.997 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.997 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.997 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.997 * [taylor]: Taking taylor expansion of re in im 3.997 * [backup-simplify]: Simplify re into re 3.997 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.998 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.998 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.998 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.998 * [taylor]: Taking taylor expansion of im in im 3.998 * [backup-simplify]: Simplify 0 into 0 3.998 * [backup-simplify]: Simplify 1 into 1 3.998 * [backup-simplify]: Simplify (* 1 1) into 1 3.999 * [backup-simplify]: Simplify (/ 1 1) into 1 3.999 * [backup-simplify]: Simplify (+ 0 1) into 1 4.000 * [backup-simplify]: Simplify (sqrt 1) into 1 4.000 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.001 * [backup-simplify]: Simplify (+ 0 0) into 0 4.002 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.002 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.002 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.002 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.002 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.002 * [taylor]: Taking taylor expansion of re in re 4.002 * [backup-simplify]: Simplify 0 into 0 4.002 * [backup-simplify]: Simplify 1 into 1 4.003 * [backup-simplify]: Simplify (* 1 1) into 1 4.003 * [backup-simplify]: Simplify (/ 1 1) into 1 4.003 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.003 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.003 * [taylor]: Taking taylor expansion of im in re 4.003 * [backup-simplify]: Simplify im into im 4.004 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.004 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.004 * [backup-simplify]: Simplify (+ 1 0) into 1 4.004 * [backup-simplify]: Simplify (sqrt 1) into 1 4.005 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.006 * [backup-simplify]: Simplify (+ 0 0) into 0 4.007 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.007 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.007 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.007 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.007 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.007 * [taylor]: Taking taylor expansion of re in re 4.007 * [backup-simplify]: Simplify 0 into 0 4.007 * [backup-simplify]: Simplify 1 into 1 4.007 * [backup-simplify]: Simplify (* 1 1) into 1 4.008 * [backup-simplify]: Simplify (/ 1 1) into 1 4.008 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.008 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.008 * [taylor]: Taking taylor expansion of im in re 4.008 * [backup-simplify]: Simplify im into im 4.008 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.008 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.009 * [backup-simplify]: Simplify (+ 1 0) into 1 4.009 * [backup-simplify]: Simplify (sqrt 1) into 1 4.010 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.011 * [backup-simplify]: Simplify (+ 0 0) into 0 4.011 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.011 * [taylor]: Taking taylor expansion of 1 in im 4.012 * [backup-simplify]: Simplify 1 into 1 4.012 * [taylor]: Taking taylor expansion of 0 in im 4.012 * [backup-simplify]: Simplify 0 into 0 4.012 * [backup-simplify]: Simplify 1 into 1 4.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.014 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.015 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.015 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 4.015 * [taylor]: Taking taylor expansion of 1/2 in im 4.015 * [backup-simplify]: Simplify 1/2 into 1/2 4.015 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.015 * [taylor]: Taking taylor expansion of im in im 4.015 * [backup-simplify]: Simplify 0 into 0 4.015 * [backup-simplify]: Simplify 1 into 1 4.015 * [backup-simplify]: Simplify (* 1 1) into 1 4.016 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.016 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.017 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.017 * [backup-simplify]: Simplify 0 into 0 4.017 * [backup-simplify]: Simplify 0 into 0 4.017 * [backup-simplify]: Simplify 0 into 0 4.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.019 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.019 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 4.020 * [backup-simplify]: Simplify (+ 0 0) into 0 4.020 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.020 * [taylor]: Taking taylor expansion of 0 in im 4.020 * [backup-simplify]: Simplify 0 into 0 4.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.023 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.023 * [backup-simplify]: Simplify 0 into 0 4.023 * [backup-simplify]: Simplify 0 into 0 4.023 * [backup-simplify]: Simplify 0 into 0 4.023 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 4.023 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 4.023 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re) 4.023 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0 4.023 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 4.024 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 4.024 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 4.024 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.024 * [taylor]: Taking taylor expansion of im in im 4.024 * [backup-simplify]: Simplify 0 into 0 4.024 * [backup-simplify]: Simplify 1 into 1 4.024 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.024 * [taylor]: Taking taylor expansion of re in im 4.024 * [backup-simplify]: Simplify re into re 4.024 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.024 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 4.024 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 4.024 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 4.024 * [backup-simplify]: Simplify (+ 0 0) into 0 4.025 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 4.025 * [taylor]: Taking taylor expansion of re in im 4.025 * [backup-simplify]: Simplify re into re 4.025 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 4.025 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 4.025 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 4.025 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.025 * [taylor]: Taking taylor expansion of im in re 4.025 * [backup-simplify]: Simplify im into im 4.025 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.025 * [taylor]: Taking taylor expansion of re in re 4.025 * [backup-simplify]: Simplify 0 into 0 4.025 * [backup-simplify]: Simplify 1 into 1 4.025 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.025 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 4.025 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.025 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.026 * [backup-simplify]: Simplify (+ 0 0) into 0 4.026 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.026 * [taylor]: Taking taylor expansion of re in re 4.026 * [backup-simplify]: Simplify 0 into 0 4.026 * [backup-simplify]: Simplify 1 into 1 4.026 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 4.026 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 4.026 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 4.026 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.026 * [taylor]: Taking taylor expansion of im in re 4.026 * [backup-simplify]: Simplify im into im 4.026 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.026 * [taylor]: Taking taylor expansion of re in re 4.026 * [backup-simplify]: Simplify 0 into 0 4.026 * [backup-simplify]: Simplify 1 into 1 4.026 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.026 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 4.026 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.026 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.027 * [backup-simplify]: Simplify (+ 0 0) into 0 4.027 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.027 * [taylor]: Taking taylor expansion of re in re 4.027 * [backup-simplify]: Simplify 0 into 0 4.027 * [backup-simplify]: Simplify 1 into 1 4.027 * [backup-simplify]: Simplify (- 0) into 0 4.027 * [backup-simplify]: Simplify (+ im 0) into im 4.027 * [taylor]: Taking taylor expansion of im in im 4.027 * [backup-simplify]: Simplify 0 into 0 4.027 * [backup-simplify]: Simplify 1 into 1 4.027 * [backup-simplify]: Simplify 0 into 0 4.028 * [backup-simplify]: Simplify (- 1) into -1 4.028 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.028 * [taylor]: Taking taylor expansion of -1 in im 4.028 * [backup-simplify]: Simplify -1 into -1 4.028 * [backup-simplify]: Simplify -1 into -1 4.028 * [backup-simplify]: Simplify 1 into 1 4.028 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 4.029 * [backup-simplify]: Simplify (* 1 1) into 1 4.029 * [backup-simplify]: Simplify (+ 0 1) into 1 4.029 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 4.030 * [backup-simplify]: Simplify (- 0) into 0 4.030 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 4.030 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 4.030 * [taylor]: Taking taylor expansion of 1/2 in im 4.030 * [backup-simplify]: Simplify 1/2 into 1/2 4.030 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.030 * [taylor]: Taking taylor expansion of im in im 4.030 * [backup-simplify]: Simplify 0 into 0 4.030 * [backup-simplify]: Simplify 1 into 1 4.030 * [backup-simplify]: Simplify (/ 1 1) into 1 4.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.031 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.031 * [backup-simplify]: Simplify 0 into 0 4.031 * [backup-simplify]: Simplify 0 into 0 4.031 * [backup-simplify]: Simplify 0 into 0 4.031 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 4.032 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.032 * [backup-simplify]: Simplify (+ 0 0) into 0 4.032 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 4.032 * [backup-simplify]: Simplify (- 0) into 0 4.033 * [backup-simplify]: Simplify (+ 0 0) into 0 4.033 * [taylor]: Taking taylor expansion of 0 in im 4.033 * [backup-simplify]: Simplify 0 into 0 4.033 * [backup-simplify]: Simplify 0 into 0 4.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.034 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.034 * [backup-simplify]: Simplify 0 into 0 4.034 * [backup-simplify]: Simplify 0 into 0 4.034 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 4.034 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) 4.034 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 4.034 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 4.034 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 4.034 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 4.034 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.034 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.034 * [taylor]: Taking taylor expansion of re in im 4.034 * [backup-simplify]: Simplify re into re 4.034 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.034 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.034 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.034 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.035 * [taylor]: Taking taylor expansion of im in im 4.035 * [backup-simplify]: Simplify 0 into 0 4.035 * [backup-simplify]: Simplify 1 into 1 4.035 * [backup-simplify]: Simplify (* 1 1) into 1 4.035 * [backup-simplify]: Simplify (/ 1 1) into 1 4.035 * [backup-simplify]: Simplify (+ 0 1) into 1 4.036 * [backup-simplify]: Simplify (sqrt 1) into 1 4.036 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.037 * [backup-simplify]: Simplify (+ 0 0) into 0 4.037 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.037 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.037 * [taylor]: Taking taylor expansion of re in im 4.037 * [backup-simplify]: Simplify re into re 4.037 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.037 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 4.037 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.037 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.037 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.037 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.037 * [taylor]: Taking taylor expansion of re in re 4.037 * [backup-simplify]: Simplify 0 into 0 4.037 * [backup-simplify]: Simplify 1 into 1 4.037 * [backup-simplify]: Simplify (* 1 1) into 1 4.038 * [backup-simplify]: Simplify (/ 1 1) into 1 4.038 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.038 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.038 * [taylor]: Taking taylor expansion of im in re 4.038 * [backup-simplify]: Simplify im into im 4.038 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.038 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.038 * [backup-simplify]: Simplify (+ 1 0) into 1 4.038 * [backup-simplify]: Simplify (sqrt 1) into 1 4.039 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.039 * [backup-simplify]: Simplify (+ 0 0) into 0 4.040 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.040 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.040 * [taylor]: Taking taylor expansion of re in re 4.040 * [backup-simplify]: Simplify 0 into 0 4.040 * [backup-simplify]: Simplify 1 into 1 4.040 * [backup-simplify]: Simplify (/ 1 1) into 1 4.040 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 4.040 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.040 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.040 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.040 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.040 * [taylor]: Taking taylor expansion of re in re 4.040 * [backup-simplify]: Simplify 0 into 0 4.040 * [backup-simplify]: Simplify 1 into 1 4.041 * [backup-simplify]: Simplify (* 1 1) into 1 4.041 * [backup-simplify]: Simplify (/ 1 1) into 1 4.041 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.041 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.041 * [taylor]: Taking taylor expansion of im in re 4.041 * [backup-simplify]: Simplify im into im 4.041 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.041 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.041 * [backup-simplify]: Simplify (+ 1 0) into 1 4.041 * [backup-simplify]: Simplify (sqrt 1) into 1 4.042 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.043 * [backup-simplify]: Simplify (+ 0 0) into 0 4.043 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.043 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.043 * [taylor]: Taking taylor expansion of re in re 4.043 * [backup-simplify]: Simplify 0 into 0 4.043 * [backup-simplify]: Simplify 1 into 1 4.043 * [backup-simplify]: Simplify (/ 1 1) into 1 4.044 * [backup-simplify]: Simplify (- 1) into -1 4.044 * [backup-simplify]: Simplify (+ 1 -1) into 0 4.044 * [taylor]: Taking taylor expansion of 0 in im 4.044 * [backup-simplify]: Simplify 0 into 0 4.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.044 * [backup-simplify]: Simplify (- 0) into 0 4.045 * [backup-simplify]: Simplify (+ 0 0) into 0 4.045 * [taylor]: Taking taylor expansion of 0 in im 4.045 * [backup-simplify]: Simplify 0 into 0 4.045 * [backup-simplify]: Simplify 0 into 0 4.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.046 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.047 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.047 * [backup-simplify]: Simplify (- 0) into 0 4.047 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 4.048 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 4.048 * [taylor]: Taking taylor expansion of 1/2 in im 4.048 * [backup-simplify]: Simplify 1/2 into 1/2 4.048 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.048 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.048 * [taylor]: Taking taylor expansion of im in im 4.048 * [backup-simplify]: Simplify 0 into 0 4.048 * [backup-simplify]: Simplify 1 into 1 4.048 * [backup-simplify]: Simplify (* 1 1) into 1 4.048 * [backup-simplify]: Simplify (/ 1 1) into 1 4.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.049 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.049 * [backup-simplify]: Simplify 0 into 0 4.049 * [backup-simplify]: Simplify 0 into 0 4.049 * [backup-simplify]: Simplify 0 into 0 4.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.051 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.051 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 4.051 * [backup-simplify]: Simplify (+ 0 0) into 0 4.051 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.052 * [backup-simplify]: Simplify (- 0) into 0 4.052 * [backup-simplify]: Simplify (+ 0 0) into 0 4.052 * [taylor]: Taking taylor expansion of 0 in im 4.052 * [backup-simplify]: Simplify 0 into 0 4.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.054 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.054 * [backup-simplify]: Simplify 0 into 0 4.054 * [backup-simplify]: Simplify 0 into 0 4.054 * [backup-simplify]: Simplify 0 into 0 4.055 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) 4.055 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 4.055 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 4.055 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.055 * [taylor]: Taking taylor expansion of re in im 4.055 * [backup-simplify]: Simplify re into re 4.055 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.055 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 4.055 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 4.055 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.055 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.055 * [taylor]: Taking taylor expansion of re in im 4.055 * [backup-simplify]: Simplify re into re 4.055 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.055 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.055 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.055 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.055 * [taylor]: Taking taylor expansion of im in im 4.055 * [backup-simplify]: Simplify 0 into 0 4.055 * [backup-simplify]: Simplify 1 into 1 4.055 * [backup-simplify]: Simplify (* 1 1) into 1 4.056 * [backup-simplify]: Simplify (/ 1 1) into 1 4.056 * [backup-simplify]: Simplify (+ 0 1) into 1 4.057 * [backup-simplify]: Simplify (sqrt 1) into 1 4.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.059 * [backup-simplify]: Simplify (+ 0 0) into 0 4.060 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.060 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 4.060 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.060 * [taylor]: Taking taylor expansion of re in re 4.060 * [backup-simplify]: Simplify 0 into 0 4.060 * [backup-simplify]: Simplify 1 into 1 4.060 * [backup-simplify]: Simplify (/ 1 1) into 1 4.060 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.061 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.061 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.061 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.061 * [taylor]: Taking taylor expansion of re in re 4.061 * [backup-simplify]: Simplify 0 into 0 4.061 * [backup-simplify]: Simplify 1 into 1 4.061 * [backup-simplify]: Simplify (* 1 1) into 1 4.061 * [backup-simplify]: Simplify (/ 1 1) into 1 4.061 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.061 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.061 * [taylor]: Taking taylor expansion of im in re 4.062 * [backup-simplify]: Simplify im into im 4.062 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.062 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.062 * [backup-simplify]: Simplify (+ 1 0) into 1 4.062 * [backup-simplify]: Simplify (sqrt 1) into 1 4.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.064 * [backup-simplify]: Simplify (+ 0 0) into 0 4.065 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.065 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 4.065 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.065 * [taylor]: Taking taylor expansion of re in re 4.065 * [backup-simplify]: Simplify 0 into 0 4.065 * [backup-simplify]: Simplify 1 into 1 4.066 * [backup-simplify]: Simplify (/ 1 1) into 1 4.066 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.066 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.066 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.066 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.066 * [taylor]: Taking taylor expansion of re in re 4.066 * [backup-simplify]: Simplify 0 into 0 4.066 * [backup-simplify]: Simplify 1 into 1 4.066 * [backup-simplify]: Simplify (* 1 1) into 1 4.066 * [backup-simplify]: Simplify (/ 1 1) into 1 4.066 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.066 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.067 * [taylor]: Taking taylor expansion of im in re 4.067 * [backup-simplify]: Simplify im into im 4.067 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.067 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.067 * [backup-simplify]: Simplify (+ 1 0) into 1 4.068 * [backup-simplify]: Simplify (sqrt 1) into 1 4.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.069 * [backup-simplify]: Simplify (+ 0 0) into 0 4.070 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.070 * [backup-simplify]: Simplify (+ 1 1) into 2 4.070 * [taylor]: Taking taylor expansion of 2 in im 4.070 * [backup-simplify]: Simplify 2 into 2 4.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.072 * [backup-simplify]: Simplify (+ 0 0) into 0 4.072 * [taylor]: Taking taylor expansion of 0 in im 4.072 * [backup-simplify]: Simplify 0 into 0 4.072 * [backup-simplify]: Simplify 2 into 2 4.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.075 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.076 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.076 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 4.076 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 4.076 * [taylor]: Taking taylor expansion of 1/2 in im 4.076 * [backup-simplify]: Simplify 1/2 into 1/2 4.076 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.076 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.076 * [taylor]: Taking taylor expansion of im in im 4.076 * [backup-simplify]: Simplify 0 into 0 4.076 * [backup-simplify]: Simplify 1 into 1 4.076 * [backup-simplify]: Simplify (* 1 1) into 1 4.077 * [backup-simplify]: Simplify (/ 1 1) into 1 4.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.079 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.079 * [backup-simplify]: Simplify 0 into 0 4.079 * [backup-simplify]: Simplify 0 into 0 4.079 * [backup-simplify]: Simplify 0 into 0 4.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.082 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.082 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 4.083 * [backup-simplify]: Simplify (+ 0 0) into 0 4.083 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.083 * [backup-simplify]: Simplify (+ 0 0) into 0 4.083 * [taylor]: Taking taylor expansion of 0 in im 4.084 * [backup-simplify]: Simplify 0 into 0 4.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.086 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.086 * [backup-simplify]: Simplify 0 into 0 4.086 * [backup-simplify]: Simplify 0 into 0 4.086 * [backup-simplify]: Simplify 0 into 0 4.087 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 4.087 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1) 4.087 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow im 2) (pow re 2))) 4.087 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 4.087 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 4.087 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 4.087 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.087 * [taylor]: Taking taylor expansion of im in im 4.087 * [backup-simplify]: Simplify 0 into 0 4.087 * [backup-simplify]: Simplify 1 into 1 4.087 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.087 * [taylor]: Taking taylor expansion of re in im 4.087 * [backup-simplify]: Simplify re into re 4.087 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.087 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 4.088 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 4.088 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 4.088 * [backup-simplify]: Simplify (+ 0 0) into 0 4.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 4.088 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 4.088 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 4.088 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.088 * [taylor]: Taking taylor expansion of im in re 4.088 * [backup-simplify]: Simplify im into im 4.088 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.088 * [taylor]: Taking taylor expansion of re in re 4.088 * [backup-simplify]: Simplify 0 into 0 4.088 * [backup-simplify]: Simplify 1 into 1 4.089 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.089 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 4.089 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.089 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.089 * [backup-simplify]: Simplify (+ 0 0) into 0 4.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.089 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 4.089 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 4.089 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.089 * [taylor]: Taking taylor expansion of im in re 4.089 * [backup-simplify]: Simplify im into im 4.089 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.089 * [taylor]: Taking taylor expansion of re in re 4.089 * [backup-simplify]: Simplify 0 into 0 4.089 * [backup-simplify]: Simplify 1 into 1 4.090 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.090 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 4.090 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.090 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.090 * [backup-simplify]: Simplify (+ 0 0) into 0 4.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.090 * [taylor]: Taking taylor expansion of im in im 4.090 * [backup-simplify]: Simplify 0 into 0 4.090 * [backup-simplify]: Simplify 1 into 1 4.090 * [backup-simplify]: Simplify 0 into 0 4.091 * [taylor]: Taking taylor expansion of 0 in im 4.091 * [backup-simplify]: Simplify 0 into 0 4.091 * [backup-simplify]: Simplify 0 into 0 4.091 * [backup-simplify]: Simplify 1 into 1 4.091 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 4.092 * [backup-simplify]: Simplify (* 1 1) into 1 4.092 * [backup-simplify]: Simplify (+ 0 1) into 1 4.093 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 4.093 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 4.093 * [taylor]: Taking taylor expansion of 1/2 in im 4.093 * [backup-simplify]: Simplify 1/2 into 1/2 4.093 * [taylor]: Taking taylor expansion of im in im 4.093 * [backup-simplify]: Simplify 0 into 0 4.093 * [backup-simplify]: Simplify 1 into 1 4.094 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.095 * [backup-simplify]: Simplify 0 into 0 4.095 * [backup-simplify]: Simplify 0 into 0 4.095 * [backup-simplify]: Simplify 0 into 0 4.095 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 4.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.096 * [backup-simplify]: Simplify (+ 0 0) into 0 4.097 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 4.097 * [taylor]: Taking taylor expansion of 0 in im 4.097 * [backup-simplify]: Simplify 0 into 0 4.097 * [backup-simplify]: Simplify 0 into 0 4.098 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.098 * [backup-simplify]: Simplify 0 into 0 4.098 * [backup-simplify]: Simplify 0 into 0 4.098 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 4.098 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 4.099 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 4.099 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 4.099 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 4.099 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.099 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.099 * [taylor]: Taking taylor expansion of re in im 4.099 * [backup-simplify]: Simplify re into re 4.099 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.099 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.099 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.099 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.099 * [taylor]: Taking taylor expansion of im in im 4.099 * [backup-simplify]: Simplify 0 into 0 4.099 * [backup-simplify]: Simplify 1 into 1 4.099 * [backup-simplify]: Simplify (* 1 1) into 1 4.100 * [backup-simplify]: Simplify (/ 1 1) into 1 4.100 * [backup-simplify]: Simplify (+ 0 1) into 1 4.101 * [backup-simplify]: Simplify (sqrt 1) into 1 4.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.102 * [backup-simplify]: Simplify (+ 0 0) into 0 4.103 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.103 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.103 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.103 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.103 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.103 * [taylor]: Taking taylor expansion of re in re 4.103 * [backup-simplify]: Simplify 0 into 0 4.103 * [backup-simplify]: Simplify 1 into 1 4.104 * [backup-simplify]: Simplify (* 1 1) into 1 4.104 * [backup-simplify]: Simplify (/ 1 1) into 1 4.104 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.104 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.104 * [taylor]: Taking taylor expansion of im in re 4.104 * [backup-simplify]: Simplify im into im 4.104 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.104 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.105 * [backup-simplify]: Simplify (+ 1 0) into 1 4.105 * [backup-simplify]: Simplify (sqrt 1) into 1 4.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.108 * [backup-simplify]: Simplify (+ 0 0) into 0 4.109 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.109 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.109 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.109 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.109 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.109 * [taylor]: Taking taylor expansion of re in re 4.109 * [backup-simplify]: Simplify 0 into 0 4.109 * [backup-simplify]: Simplify 1 into 1 4.109 * [backup-simplify]: Simplify (* 1 1) into 1 4.110 * [backup-simplify]: Simplify (/ 1 1) into 1 4.110 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.110 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.110 * [taylor]: Taking taylor expansion of im in re 4.110 * [backup-simplify]: Simplify im into im 4.110 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.110 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.110 * [backup-simplify]: Simplify (+ 1 0) into 1 4.111 * [backup-simplify]: Simplify (sqrt 1) into 1 4.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.114 * [backup-simplify]: Simplify (+ 0 0) into 0 4.115 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.116 * [taylor]: Taking taylor expansion of 1 in im 4.116 * [backup-simplify]: Simplify 1 into 1 4.116 * [taylor]: Taking taylor expansion of 0 in im 4.116 * [backup-simplify]: Simplify 0 into 0 4.116 * [backup-simplify]: Simplify 1 into 1 4.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.118 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.119 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.119 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 4.119 * [taylor]: Taking taylor expansion of 1/2 in im 4.119 * [backup-simplify]: Simplify 1/2 into 1/2 4.119 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.119 * [taylor]: Taking taylor expansion of im in im 4.119 * [backup-simplify]: Simplify 0 into 0 4.119 * [backup-simplify]: Simplify 1 into 1 4.119 * [backup-simplify]: Simplify (* 1 1) into 1 4.120 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.121 * [backup-simplify]: Simplify 0 into 0 4.121 * [backup-simplify]: Simplify 0 into 0 4.121 * [backup-simplify]: Simplify 0 into 0 4.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.124 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.124 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 4.124 * [backup-simplify]: Simplify (+ 0 0) into 0 4.125 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.125 * [taylor]: Taking taylor expansion of 0 in im 4.125 * [backup-simplify]: Simplify 0 into 0 4.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.127 * [backup-simplify]: Simplify 0 into 0 4.127 * [backup-simplify]: Simplify 0 into 0 4.127 * [backup-simplify]: Simplify 0 into 0 4.127 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 4.127 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 4.127 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 4.127 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 4.127 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 4.127 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.127 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.128 * [taylor]: Taking taylor expansion of re in im 4.128 * [backup-simplify]: Simplify re into re 4.128 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.128 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.128 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.128 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.128 * [taylor]: Taking taylor expansion of im in im 4.128 * [backup-simplify]: Simplify 0 into 0 4.128 * [backup-simplify]: Simplify 1 into 1 4.128 * [backup-simplify]: Simplify (* 1 1) into 1 4.129 * [backup-simplify]: Simplify (/ 1 1) into 1 4.129 * [backup-simplify]: Simplify (+ 0 1) into 1 4.129 * [backup-simplify]: Simplify (sqrt 1) into 1 4.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.131 * [backup-simplify]: Simplify (+ 0 0) into 0 4.132 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.132 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.132 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.132 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.132 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.132 * [taylor]: Taking taylor expansion of re in re 4.132 * [backup-simplify]: Simplify 0 into 0 4.132 * [backup-simplify]: Simplify 1 into 1 4.132 * [backup-simplify]: Simplify (* 1 1) into 1 4.133 * [backup-simplify]: Simplify (/ 1 1) into 1 4.133 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.133 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.133 * [taylor]: Taking taylor expansion of im in re 4.133 * [backup-simplify]: Simplify im into im 4.133 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.133 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.134 * [backup-simplify]: Simplify (+ 1 0) into 1 4.134 * [backup-simplify]: Simplify (sqrt 1) into 1 4.135 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.136 * [backup-simplify]: Simplify (+ 0 0) into 0 4.136 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.136 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.136 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.137 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.137 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.137 * [taylor]: Taking taylor expansion of re in re 4.137 * [backup-simplify]: Simplify 0 into 0 4.137 * [backup-simplify]: Simplify 1 into 1 4.137 * [backup-simplify]: Simplify (* 1 1) into 1 4.137 * [backup-simplify]: Simplify (/ 1 1) into 1 4.137 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.137 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.137 * [taylor]: Taking taylor expansion of im in re 4.137 * [backup-simplify]: Simplify im into im 4.138 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.138 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.138 * [backup-simplify]: Simplify (+ 1 0) into 1 4.138 * [backup-simplify]: Simplify (sqrt 1) into 1 4.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.140 * [backup-simplify]: Simplify (+ 0 0) into 0 4.141 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.141 * [taylor]: Taking taylor expansion of 1 in im 4.141 * [backup-simplify]: Simplify 1 into 1 4.141 * [taylor]: Taking taylor expansion of 0 in im 4.141 * [backup-simplify]: Simplify 0 into 0 4.141 * [backup-simplify]: Simplify 1 into 1 4.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.143 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.144 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.144 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 4.144 * [taylor]: Taking taylor expansion of 1/2 in im 4.144 * [backup-simplify]: Simplify 1/2 into 1/2 4.144 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.144 * [taylor]: Taking taylor expansion of im in im 4.144 * [backup-simplify]: Simplify 0 into 0 4.144 * [backup-simplify]: Simplify 1 into 1 4.145 * [backup-simplify]: Simplify (* 1 1) into 1 4.145 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.147 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.147 * [backup-simplify]: Simplify 0 into 0 4.147 * [backup-simplify]: Simplify 0 into 0 4.147 * [backup-simplify]: Simplify 0 into 0 4.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.149 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.149 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 4.149 * [backup-simplify]: Simplify (+ 0 0) into 0 4.150 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.150 * [taylor]: Taking taylor expansion of 0 in im 4.150 * [backup-simplify]: Simplify 0 into 0 4.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.152 * [backup-simplify]: Simplify 0 into 0 4.152 * [backup-simplify]: Simplify 0 into 0 4.152 * [backup-simplify]: Simplify 0 into 0 4.152 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 4.152 * * * [progress]: simplifying candidates 4.152 * * * * [progress]: [ 1 / 142 ] simplifiying candidate # 4.152 * * * * [progress]: [ 2 / 142 ] simplifiying candidate # 4.153 * * * * [progress]: [ 3 / 142 ] simplifiying candidate # 4.153 * * * * [progress]: [ 4 / 142 ] simplifiying candidate # 4.153 * * * * [progress]: [ 5 / 142 ] simplifiying candidate # 4.153 * * * * [progress]: [ 6 / 142 ] simplifiying candidate # 4.153 * * * * [progress]: [ 7 / 142 ] simplifiying candidate # 4.153 * * * * [progress]: [ 8 / 142 ] simplifiying candidate # 4.153 * * * * [progress]: [ 9 / 142 ] simplifiying candidate # 4.153 * * * * [progress]: [ 10 / 142 ] simplifiying candidate # 4.153 * * * * [progress]: [ 11 / 142 ] simplifiying candidate # 4.153 * * * * [progress]: [ 12 / 142 ] simplifiying candidate # 4.153 * * * * [progress]: [ 13 / 142 ] simplifiying candidate # 4.153 * * * * [progress]: [ 14 / 142 ] simplifiying candidate # 4.153 * * * * [progress]: [ 15 / 142 ] simplifiying candidate # 4.154 * * * * [progress]: [ 16 / 142 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))) re)))))> 4.154 * * * * [progress]: [ 17 / 142 ] simplifiying candidate # 4.154 * * * * [progress]: [ 18 / 142 ] simplifiying candidate # 4.154 * * * * [progress]: [ 19 / 142 ] simplifiying candidate # 4.154 * * * * [progress]: [ 20 / 142 ] simplifiying candidate # 4.154 * * * * [progress]: [ 21 / 142 ] simplifiying candidate # 4.154 * * * * [progress]: [ 22 / 142 ] simplifiying candidate # 4.154 * * * * [progress]: [ 23 / 142 ] simplifiying candidate # 4.154 * * * * [progress]: [ 24 / 142 ] simplifiying candidate # 4.154 * * * * [progress]: [ 25 / 142 ] simplifiying candidate # 4.154 * * * * [progress]: [ 26 / 142 ] simplifiying candidate # 4.154 * * * * [progress]: [ 27 / 142 ] simplifiying candidate # 4.154 * * * * [progress]: [ 28 / 142 ] simplifiying candidate # 4.155 * * * * [progress]: [ 29 / 142 ] simplifiying candidate # 4.155 * * * * [progress]: [ 30 / 142 ] simplifiying candidate # 4.155 * * * * [progress]: [ 31 / 142 ] simplifiying candidate # 4.155 * * * * [progress]: [ 32 / 142 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> 4.155 * * * * [progress]: [ 33 / 142 ] simplifiying candidate # 4.155 * * * * [progress]: [ 34 / 142 ] simplifiying candidate # 4.155 * * * * [progress]: [ 35 / 142 ] simplifiying candidate # 4.155 * * * * [progress]: [ 36 / 142 ] simplifiying candidate # 4.155 * * * * [progress]: [ 37 / 142 ] simplifiying candidate # 4.155 * * * * [progress]: [ 38 / 142 ] simplifiying candidate # 4.155 * * * * [progress]: [ 39 / 142 ] simplifiying candidate # 4.155 * * * * [progress]: [ 40 / 142 ] simplifiying candidate # 4.155 * * * * [progress]: [ 41 / 142 ] simplifiying candidate # 4.155 * * * * [progress]: [ 42 / 142 ] simplifiying candidate # 4.156 * * * * [progress]: [ 43 / 142 ] simplifiying candidate # 4.156 * * * * [progress]: [ 44 / 142 ] simplifiying candidate # 4.156 * * * * [progress]: [ 45 / 142 ] simplifiying candidate # 4.156 * * * * [progress]: [ 46 / 142 ] simplifiying candidate #real (real->posit16 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> 4.156 * * * * [progress]: [ 47 / 142 ] simplifiying candidate # 4.156 * * * * [progress]: [ 48 / 142 ] simplifiying candidate # 4.156 * * * * [progress]: [ 49 / 142 ] simplifiying candidate # 4.156 * * * * [progress]: [ 50 / 142 ] simplifiying candidate # 4.156 * * * * [progress]: [ 51 / 142 ] simplifiying candidate # 4.156 * * * * [progress]: [ 52 / 142 ] simplifiying candidate # 4.156 * * * * [progress]: [ 53 / 142 ] simplifiying candidate # 4.156 * * * * [progress]: [ 54 / 142 ] simplifiying candidate # 4.156 * * * * [progress]: [ 55 / 142 ] simplifiying candidate # 4.157 * * * * [progress]: [ 56 / 142 ] simplifiying candidate # 4.157 * * * * [progress]: [ 57 / 142 ] simplifiying candidate # 4.157 * * * * [progress]: [ 58 / 142 ] simplifiying candidate # 4.157 * * * * [progress]: [ 59 / 142 ] simplifiying candidate # 4.157 * * * * [progress]: [ 60 / 142 ] simplifiying candidate # 4.157 * * * * [progress]: [ 61 / 142 ] simplifiying candidate # 4.157 * * * * [progress]: [ 62 / 142 ] simplifiying candidate # 4.157 * * * * [progress]: [ 63 / 142 ] simplifiying candidate # 4.157 * * * * [progress]: [ 64 / 142 ] simplifiying candidate # 4.157 * * * * [progress]: [ 65 / 142 ] simplifiying candidate # 4.157 * * * * [progress]: [ 66 / 142 ] simplifiying candidate # 4.157 * * * * [progress]: [ 67 / 142 ] simplifiying candidate # 4.157 * * * * [progress]: [ 68 / 142 ] simplifiying candidate # 4.158 * * * * [progress]: [ 69 / 142 ] simplifiying candidate # 4.158 * * * * [progress]: [ 70 / 142 ] simplifiying candidate # 4.158 * * * * [progress]: [ 71 / 142 ] simplifiying candidate # 4.158 * * * * [progress]: [ 72 / 142 ] simplifiying candidate # 4.158 * * * * [progress]: [ 73 / 142 ] simplifiying candidate # 4.159 * * * * [progress]: [ 74 / 142 ] simplifiying candidate # 4.159 * * * * [progress]: [ 75 / 142 ] simplifiying candidate # 4.159 * * * * [progress]: [ 76 / 142 ] simplifiying candidate # 4.159 * * * * [progress]: [ 77 / 142 ] simplifiying candidate # 4.159 * * * * [progress]: [ 78 / 142 ] simplifiying candidate # 4.159 * * * * [progress]: [ 79 / 142 ] simplifiying candidate # 4.159 * * * * [progress]: [ 80 / 142 ] simplifiying candidate # 4.159 * * * * [progress]: [ 81 / 142 ] simplifiying candidate # 4.160 * * * * [progress]: [ 82 / 142 ] simplifiying candidate # 4.160 * * * * [progress]: [ 83 / 142 ] simplifiying candidate # 4.160 * * * * [progress]: [ 84 / 142 ] simplifiying candidate # 4.160 * * * * [progress]: [ 85 / 142 ] simplifiying candidate # 4.160 * * * * [progress]: [ 86 / 142 ] simplifiying candidate # 4.160 * * * * [progress]: [ 87 / 142 ] simplifiying candidate # 4.160 * * * * [progress]: [ 88 / 142 ] simplifiying candidate # 4.160 * * * * [progress]: [ 89 / 142 ] simplifiying candidate # 4.160 * * * * [progress]: [ 90 / 142 ] simplifiying candidate # 4.160 * * * * [progress]: [ 91 / 142 ] simplifiying candidate # 4.160 * * * * [progress]: [ 92 / 142 ] simplifiying candidate # 4.160 * * * * [progress]: [ 93 / 142 ] simplifiying candidate # 4.161 * * * * [progress]: [ 94 / 142 ] simplifiying candidate # 4.161 * * * * [progress]: [ 95 / 142 ] simplifiying candidate # 4.161 * * * * [progress]: [ 96 / 142 ] simplifiying candidate # 4.161 * * * * [progress]: [ 97 / 142 ] simplifiying candidate # 4.161 * * * * [progress]: [ 98 / 142 ] simplifiying candidate # 4.161 * * * * [progress]: [ 99 / 142 ] simplifiying candidate # 4.161 * * * * [progress]: [ 100 / 142 ] simplifiying candidate # 4.161 * * * * [progress]: [ 101 / 142 ] simplifiying candidate # 4.161 * * * * [progress]: [ 102 / 142 ] simplifiying candidate # 4.161 * * * * [progress]: [ 103 / 142 ] simplifiying candidate # 4.161 * * * * [progress]: [ 104 / 142 ] simplifiying candidate # 4.161 * * * * [progress]: [ 105 / 142 ] simplifiying candidate # 4.162 * * * * [progress]: [ 106 / 142 ] simplifiying candidate # 4.162 * * * * [progress]: [ 107 / 142 ] simplifiying candidate # 4.162 * * * * [progress]: [ 108 / 142 ] simplifiying candidate # 4.162 * * * * [progress]: [ 109 / 142 ] simplifiying candidate # 4.162 * * * * [progress]: [ 110 / 142 ] simplifiying candidate # 4.162 * * * * [progress]: [ 111 / 142 ] simplifiying candidate # 4.162 * * * * [progress]: [ 112 / 142 ] simplifiying candidate # 4.162 * * * * [progress]: [ 113 / 142 ] simplifiying candidate # 4.162 * * * * [progress]: [ 114 / 142 ] simplifiying candidate # 4.162 * * * * [progress]: [ 115 / 142 ] simplifiying candidate # 4.162 * * * * [progress]: [ 116 / 142 ] simplifiying candidate # 4.162 * * * * [progress]: [ 117 / 142 ] simplifiying candidate # 4.162 * * * * [progress]: [ 118 / 142 ] simplifiying candidate # 4.163 * * * * [progress]: [ 119 / 142 ] simplifiying candidate # 4.163 * * * * [progress]: [ 120 / 142 ] simplifiying candidate # 4.163 * * * * [progress]: [ 121 / 142 ] simplifiying candidate # 4.163 * * * * [progress]: [ 122 / 142 ] simplifiying candidate # 4.163 * * * * [progress]: [ 123 / 142 ] simplifiying candidate # 4.163 * * * * [progress]: [ 124 / 142 ] simplifiying candidate # 4.163 * * * * [progress]: [ 125 / 142 ] simplifiying candidate # 4.163 * * * * [progress]: [ 126 / 142 ] simplifiying candidate # 4.163 * * * * [progress]: [ 127 / 142 ] simplifiying candidate # 4.163 * * * * [progress]: [ 128 / 142 ] simplifiying candidate # 4.163 * * * * [progress]: [ 129 / 142 ] simplifiying candidate #real (real->posit16 (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))> 4.163 * * * * [progress]: [ 130 / 142 ] simplifiying candidate # 4.163 * * * * [progress]: [ 131 / 142 ] simplifiying candidate # 4.163 * * * * [progress]: [ 132 / 142 ] simplifiying candidate # 4.164 * * * * [progress]: [ 133 / 142 ] simplifiying candidate # 4.164 * * * * [progress]: [ 134 / 142 ] simplifiying candidate # 4.164 * * * * [progress]: [ 135 / 142 ] simplifiying candidate # 4.164 * * * * [progress]: [ 136 / 142 ] simplifiying candidate # 4.164 * * * * [progress]: [ 137 / 142 ] simplifiying candidate # 4.164 * * * * [progress]: [ 138 / 142 ] simplifiying candidate # 4.164 * * * * [progress]: [ 139 / 142 ] simplifiying candidate # 4.164 * * * * [progress]: [ 140 / 142 ] simplifiying candidate # 4.164 * * * * [progress]: [ 141 / 142 ] simplifiying candidate # 4.164 * * * * [progress]: [ 142 / 142 ] simplifiying candidate # 4.167 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* 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im) (* re re)))) (sqrt (sqrt (sqrt (+ (* im im) (* re re)))))) (sqrt (sqrt (+ (* im im) (* re re)))) (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (sqrt (+ (* im im) (* re re)))))) (sqrt (sqrt (+ (* im im) (* re re)))) (* (sqrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (sqrt (+ (* im im) (* re re)))))) (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (cbrt (sqrt (+ (* im im) (* re re)))))) (* (sqrt (sqrt (cbrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re))))) (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (sqrt (+ (* im im) (* re re)))))) (sqrt (+ (* im im) (* re re))) (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (sqrt (+ (* im im) (* re re)))))) (sqrt (+ (* im im) (* re re))) (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (sqrt (+ (* im im) (* re re)))))) (sqrt (+ (* im im) (* re re))) (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* (* im im) (* im im)) (* im im)))))) (* (sqrt (sqrt (* (+ (* im im) (* re re)) (- (* re re) (* im im))))) (sqrt (sqrt (+ (* im im) (* re re))))) (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* (* im im) (* im im)) (* im im)))))) (* (sqrt (sqrt (* (+ (* im im) (* re re)) (- (* re re) (* im im))))) (sqrt (sqrt (+ (* im im) (* re re))))) (real->posit16 (sqrt (+ (* im im) (* re re)))) im re (- re) im re (- re) (- im re) 0 (* -2 re) im re (- re) 6.360 * * * [progress]: adding candidates to table 7.045 * * [progress]: iteration 3 / 4 7.045 * * * [progress]: picking best candidate 7.086 * * * * [pick]: Picked # 7.086 * * * [progress]: localizing error 7.151 * * * [progress]: generating rewritten candidates 7.151 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1 1 2 1) 7.160 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2 1 1 1 1) 7.172 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 2 1 1 2 1) 7.185 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 2 1 1 1 1) 7.199 * * * [progress]: generating series expansions 7.199 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1 1 2 1) 7.199 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 7.199 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 7.199 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 7.199 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 7.199 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.200 * [taylor]: Taking taylor expansion of im in im 7.200 * [backup-simplify]: Simplify 0 into 0 7.200 * [backup-simplify]: Simplify 1 into 1 7.200 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.200 * [taylor]: Taking taylor expansion of re in im 7.200 * [backup-simplify]: Simplify re into re 7.200 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.200 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 7.200 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 7.200 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 7.201 * [backup-simplify]: Simplify (+ 0 0) into 0 7.201 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 7.201 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 7.201 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 7.201 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.201 * [taylor]: Taking taylor expansion of im in re 7.201 * [backup-simplify]: Simplify im into im 7.201 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.201 * [taylor]: Taking taylor expansion of re in re 7.201 * [backup-simplify]: Simplify 0 into 0 7.201 * [backup-simplify]: Simplify 1 into 1 7.201 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.201 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 7.201 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.201 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.202 * [backup-simplify]: Simplify (+ 0 0) into 0 7.202 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.202 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 7.202 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 7.202 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.202 * [taylor]: Taking taylor expansion of im in re 7.202 * [backup-simplify]: Simplify im into im 7.202 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.202 * [taylor]: Taking taylor expansion of re in re 7.202 * [backup-simplify]: Simplify 0 into 0 7.202 * [backup-simplify]: Simplify 1 into 1 7.202 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.202 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 7.202 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.203 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.203 * [backup-simplify]: Simplify (+ 0 0) into 0 7.203 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.203 * [taylor]: Taking taylor expansion of im in im 7.203 * [backup-simplify]: Simplify 0 into 0 7.203 * [backup-simplify]: Simplify 1 into 1 7.203 * [backup-simplify]: Simplify 0 into 0 7.203 * [taylor]: Taking taylor expansion of 0 in im 7.203 * [backup-simplify]: Simplify 0 into 0 7.203 * [backup-simplify]: Simplify 0 into 0 7.203 * [backup-simplify]: Simplify 1 into 1 7.204 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 7.204 * [backup-simplify]: Simplify (* 1 1) into 1 7.205 * [backup-simplify]: Simplify (+ 0 1) into 1 7.206 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 7.206 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 7.206 * [taylor]: Taking taylor expansion of 1/2 in im 7.206 * [backup-simplify]: Simplify 1/2 into 1/2 7.206 * [taylor]: Taking taylor expansion of im in im 7.206 * [backup-simplify]: Simplify 0 into 0 7.206 * [backup-simplify]: Simplify 1 into 1 7.206 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.207 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.207 * [backup-simplify]: Simplify 0 into 0 7.207 * [backup-simplify]: Simplify 0 into 0 7.207 * [backup-simplify]: Simplify 0 into 0 7.208 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 7.209 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.209 * [backup-simplify]: Simplify (+ 0 0) into 0 7.209 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 7.209 * [taylor]: Taking taylor expansion of 0 in im 7.209 * [backup-simplify]: Simplify 0 into 0 7.209 * [backup-simplify]: Simplify 0 into 0 7.210 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.210 * [backup-simplify]: Simplify 0 into 0 7.210 * [backup-simplify]: Simplify 0 into 0 7.210 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 7.211 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 7.211 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 7.211 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 7.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 7.211 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.211 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.211 * [taylor]: Taking taylor expansion of re in im 7.211 * [backup-simplify]: Simplify re into re 7.211 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.211 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.211 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.211 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.211 * [taylor]: Taking taylor expansion of im in im 7.211 * [backup-simplify]: Simplify 0 into 0 7.211 * [backup-simplify]: Simplify 1 into 1 7.212 * [backup-simplify]: Simplify (* 1 1) into 1 7.212 * [backup-simplify]: Simplify (/ 1 1) into 1 7.212 * [backup-simplify]: Simplify (+ 0 1) into 1 7.213 * [backup-simplify]: Simplify (sqrt 1) into 1 7.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.215 * [backup-simplify]: Simplify (+ 0 0) into 0 7.215 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.215 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 7.215 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 7.216 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.216 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.216 * [taylor]: Taking taylor expansion of re in re 7.216 * [backup-simplify]: Simplify 0 into 0 7.216 * [backup-simplify]: Simplify 1 into 1 7.216 * [backup-simplify]: Simplify (* 1 1) into 1 7.216 * [backup-simplify]: Simplify (/ 1 1) into 1 7.216 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.216 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.216 * [taylor]: Taking taylor expansion of im in re 7.217 * [backup-simplify]: Simplify im into im 7.217 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.217 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.217 * [backup-simplify]: Simplify (+ 1 0) into 1 7.217 * [backup-simplify]: Simplify (sqrt 1) into 1 7.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.219 * [backup-simplify]: Simplify (+ 0 0) into 0 7.220 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.220 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 7.220 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 7.220 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.220 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.220 * [taylor]: Taking taylor expansion of re in re 7.220 * [backup-simplify]: Simplify 0 into 0 7.220 * [backup-simplify]: Simplify 1 into 1 7.221 * [backup-simplify]: Simplify (* 1 1) into 1 7.221 * [backup-simplify]: Simplify (/ 1 1) into 1 7.221 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.221 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.221 * [taylor]: Taking taylor expansion of im in re 7.221 * [backup-simplify]: Simplify im into im 7.221 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.221 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.222 * [backup-simplify]: Simplify (+ 1 0) into 1 7.222 * [backup-simplify]: Simplify (sqrt 1) into 1 7.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.224 * [backup-simplify]: Simplify (+ 0 0) into 0 7.225 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.225 * [taylor]: Taking taylor expansion of 1 in im 7.225 * [backup-simplify]: Simplify 1 into 1 7.225 * [taylor]: Taking taylor expansion of 0 in im 7.225 * [backup-simplify]: Simplify 0 into 0 7.225 * [backup-simplify]: Simplify 1 into 1 7.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.227 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 7.228 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.228 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 7.228 * [taylor]: Taking taylor expansion of 1/2 in im 7.228 * [backup-simplify]: Simplify 1/2 into 1/2 7.228 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.228 * [taylor]: Taking taylor expansion of im in im 7.228 * [backup-simplify]: Simplify 0 into 0 7.228 * [backup-simplify]: Simplify 1 into 1 7.229 * [backup-simplify]: Simplify (* 1 1) into 1 7.229 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.230 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.231 * [backup-simplify]: Simplify 0 into 0 7.231 * [backup-simplify]: Simplify 0 into 0 7.231 * [backup-simplify]: Simplify 0 into 0 7.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.233 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.233 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 7.233 * [backup-simplify]: Simplify (+ 0 0) into 0 7.234 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.234 * [taylor]: Taking taylor expansion of 0 in im 7.234 * [backup-simplify]: Simplify 0 into 0 7.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.236 * [backup-simplify]: Simplify 0 into 0 7.236 * [backup-simplify]: Simplify 0 into 0 7.236 * [backup-simplify]: Simplify 0 into 0 7.236 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 7.237 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 7.237 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 7.237 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 7.237 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 7.237 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.237 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.237 * [taylor]: Taking taylor expansion of re in im 7.237 * [backup-simplify]: Simplify re into re 7.237 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.237 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.237 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.237 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.237 * [taylor]: Taking taylor expansion of im in im 7.237 * [backup-simplify]: Simplify 0 into 0 7.237 * [backup-simplify]: Simplify 1 into 1 7.238 * [backup-simplify]: Simplify (* 1 1) into 1 7.238 * [backup-simplify]: Simplify (/ 1 1) into 1 7.239 * [backup-simplify]: Simplify (+ 0 1) into 1 7.239 * [backup-simplify]: Simplify (sqrt 1) into 1 7.240 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.241 * [backup-simplify]: Simplify (+ 0 0) into 0 7.242 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.242 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 7.242 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 7.242 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.242 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.242 * [taylor]: Taking taylor expansion of re in re 7.242 * [backup-simplify]: Simplify 0 into 0 7.242 * [backup-simplify]: Simplify 1 into 1 7.242 * [backup-simplify]: Simplify (* 1 1) into 1 7.243 * [backup-simplify]: Simplify (/ 1 1) into 1 7.243 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.243 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.243 * [taylor]: Taking taylor expansion of im in re 7.243 * [backup-simplify]: Simplify im into im 7.243 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.243 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.243 * [backup-simplify]: Simplify (+ 1 0) into 1 7.244 * [backup-simplify]: Simplify (sqrt 1) into 1 7.244 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.246 * [backup-simplify]: Simplify (+ 0 0) into 0 7.246 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.246 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 7.246 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 7.246 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.246 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.246 * [taylor]: Taking taylor expansion of re in re 7.246 * [backup-simplify]: Simplify 0 into 0 7.246 * [backup-simplify]: Simplify 1 into 1 7.247 * [backup-simplify]: Simplify (* 1 1) into 1 7.247 * [backup-simplify]: Simplify (/ 1 1) into 1 7.247 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.247 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.247 * [taylor]: Taking taylor expansion of im in re 7.247 * [backup-simplify]: Simplify im into im 7.247 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.247 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.248 * [backup-simplify]: Simplify (+ 1 0) into 1 7.248 * [backup-simplify]: Simplify (sqrt 1) into 1 7.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.250 * [backup-simplify]: Simplify (+ 0 0) into 0 7.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.251 * [taylor]: Taking taylor expansion of 1 in im 7.251 * [backup-simplify]: Simplify 1 into 1 7.251 * [taylor]: Taking taylor expansion of 0 in im 7.251 * [backup-simplify]: Simplify 0 into 0 7.251 * [backup-simplify]: Simplify 1 into 1 7.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.253 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 7.254 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.254 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 7.254 * [taylor]: Taking taylor expansion of 1/2 in im 7.254 * [backup-simplify]: Simplify 1/2 into 1/2 7.254 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.254 * [taylor]: Taking taylor expansion of im in im 7.254 * [backup-simplify]: Simplify 0 into 0 7.254 * [backup-simplify]: Simplify 1 into 1 7.255 * [backup-simplify]: Simplify (* 1 1) into 1 7.255 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.257 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.257 * [backup-simplify]: Simplify 0 into 0 7.257 * [backup-simplify]: Simplify 0 into 0 7.257 * [backup-simplify]: Simplify 0 into 0 7.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.259 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.259 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 7.260 * [backup-simplify]: Simplify (+ 0 0) into 0 7.260 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.260 * [taylor]: Taking taylor expansion of 0 in im 7.260 * [backup-simplify]: Simplify 0 into 0 7.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.262 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.262 * [backup-simplify]: Simplify 0 into 0 7.262 * [backup-simplify]: Simplify 0 into 0 7.262 * [backup-simplify]: Simplify 0 into 0 7.262 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 7.262 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2 1 1 1 1) 7.263 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 7.263 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 7.263 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 7.263 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 7.263 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.263 * [taylor]: Taking taylor expansion of im in im 7.263 * [backup-simplify]: Simplify 0 into 0 7.263 * [backup-simplify]: Simplify 1 into 1 7.263 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.263 * [taylor]: Taking taylor expansion of re in im 7.263 * [backup-simplify]: Simplify re into re 7.263 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.263 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 7.263 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 7.263 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 7.264 * [backup-simplify]: Simplify (+ 0 0) into 0 7.264 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 7.264 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 7.264 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 7.264 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.264 * [taylor]: Taking taylor expansion of im in re 7.264 * [backup-simplify]: Simplify im into im 7.264 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.264 * [taylor]: Taking taylor expansion of re in re 7.264 * [backup-simplify]: Simplify 0 into 0 7.264 * [backup-simplify]: Simplify 1 into 1 7.264 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.264 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 7.264 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.264 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.265 * [backup-simplify]: Simplify (+ 0 0) into 0 7.265 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.265 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 7.265 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 7.265 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.265 * [taylor]: Taking taylor expansion of im in re 7.265 * [backup-simplify]: Simplify im into im 7.265 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.265 * [taylor]: Taking taylor expansion of re in re 7.265 * [backup-simplify]: Simplify 0 into 0 7.265 * [backup-simplify]: Simplify 1 into 1 7.265 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.265 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 7.265 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.265 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.266 * [backup-simplify]: Simplify (+ 0 0) into 0 7.266 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.266 * [taylor]: Taking taylor expansion of im in im 7.266 * [backup-simplify]: Simplify 0 into 0 7.266 * [backup-simplify]: Simplify 1 into 1 7.266 * [backup-simplify]: Simplify 0 into 0 7.266 * [taylor]: Taking taylor expansion of 0 in im 7.266 * [backup-simplify]: Simplify 0 into 0 7.266 * [backup-simplify]: Simplify 0 into 0 7.266 * [backup-simplify]: Simplify 1 into 1 7.267 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 7.267 * [backup-simplify]: Simplify (* 1 1) into 1 7.268 * [backup-simplify]: Simplify (+ 0 1) into 1 7.268 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 7.268 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 7.268 * [taylor]: Taking taylor expansion of 1/2 in im 7.268 * [backup-simplify]: Simplify 1/2 into 1/2 7.268 * [taylor]: Taking taylor expansion of im in im 7.268 * [backup-simplify]: Simplify 0 into 0 7.269 * [backup-simplify]: Simplify 1 into 1 7.269 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.270 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.270 * [backup-simplify]: Simplify 0 into 0 7.270 * [backup-simplify]: Simplify 0 into 0 7.270 * [backup-simplify]: Simplify 0 into 0 7.271 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 7.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.272 * [backup-simplify]: Simplify (+ 0 0) into 0 7.272 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 7.272 * [taylor]: Taking taylor expansion of 0 in im 7.272 * [backup-simplify]: Simplify 0 into 0 7.272 * [backup-simplify]: Simplify 0 into 0 7.273 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.273 * [backup-simplify]: Simplify 0 into 0 7.273 * [backup-simplify]: Simplify 0 into 0 7.273 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 7.274 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 7.274 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 7.274 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 7.274 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 7.274 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.274 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.274 * [taylor]: Taking taylor expansion of re in im 7.274 * [backup-simplify]: Simplify re into re 7.274 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.274 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.274 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.274 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.274 * [taylor]: Taking taylor expansion of im in im 7.274 * [backup-simplify]: Simplify 0 into 0 7.274 * [backup-simplify]: Simplify 1 into 1 7.274 * [backup-simplify]: Simplify (* 1 1) into 1 7.275 * [backup-simplify]: Simplify (/ 1 1) into 1 7.275 * [backup-simplify]: Simplify (+ 0 1) into 1 7.276 * [backup-simplify]: Simplify (sqrt 1) into 1 7.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.277 * [backup-simplify]: Simplify (+ 0 0) into 0 7.278 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.278 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 7.278 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 7.278 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.278 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.278 * [taylor]: Taking taylor expansion of re in re 7.278 * [backup-simplify]: Simplify 0 into 0 7.278 * [backup-simplify]: Simplify 1 into 1 7.279 * [backup-simplify]: Simplify (* 1 1) into 1 7.279 * [backup-simplify]: Simplify (/ 1 1) into 1 7.279 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.279 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.279 * [taylor]: Taking taylor expansion of im in re 7.279 * [backup-simplify]: Simplify im into im 7.279 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.279 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.280 * [backup-simplify]: Simplify (+ 1 0) into 1 7.280 * [backup-simplify]: Simplify (sqrt 1) into 1 7.281 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.282 * [backup-simplify]: Simplify (+ 0 0) into 0 7.283 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.283 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 7.283 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 7.283 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.283 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.283 * [taylor]: Taking taylor expansion of re in re 7.283 * [backup-simplify]: Simplify 0 into 0 7.283 * [backup-simplify]: Simplify 1 into 1 7.288 * [backup-simplify]: Simplify (* 1 1) into 1 7.288 * [backup-simplify]: Simplify (/ 1 1) into 1 7.288 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.289 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.289 * [taylor]: Taking taylor expansion of im in re 7.289 * [backup-simplify]: Simplify im into im 7.289 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.289 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.289 * [backup-simplify]: Simplify (+ 1 0) into 1 7.290 * [backup-simplify]: Simplify (sqrt 1) into 1 7.290 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.291 * [backup-simplify]: Simplify (+ 0 0) into 0 7.292 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.292 * [taylor]: Taking taylor expansion of 1 in im 7.292 * [backup-simplify]: Simplify 1 into 1 7.292 * [taylor]: Taking taylor expansion of 0 in im 7.292 * [backup-simplify]: Simplify 0 into 0 7.292 * [backup-simplify]: Simplify 1 into 1 7.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.293 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 7.294 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.294 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 7.294 * [taylor]: Taking taylor expansion of 1/2 in im 7.294 * [backup-simplify]: Simplify 1/2 into 1/2 7.294 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.294 * [taylor]: Taking taylor expansion of im in im 7.294 * [backup-simplify]: Simplify 0 into 0 7.294 * [backup-simplify]: Simplify 1 into 1 7.295 * [backup-simplify]: Simplify (* 1 1) into 1 7.295 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.296 * [backup-simplify]: Simplify 0 into 0 7.296 * [backup-simplify]: Simplify 0 into 0 7.296 * [backup-simplify]: Simplify 0 into 0 7.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.297 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.297 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 7.298 * [backup-simplify]: Simplify (+ 0 0) into 0 7.298 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.298 * [taylor]: Taking taylor expansion of 0 in im 7.298 * [backup-simplify]: Simplify 0 into 0 7.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.300 * [backup-simplify]: Simplify 0 into 0 7.300 * [backup-simplify]: Simplify 0 into 0 7.300 * [backup-simplify]: Simplify 0 into 0 7.300 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 7.300 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 7.300 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 7.300 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 7.300 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 7.300 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.300 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.300 * [taylor]: Taking taylor expansion of re in im 7.300 * [backup-simplify]: Simplify re into re 7.300 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.300 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.300 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.300 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.300 * [taylor]: Taking taylor expansion of im in im 7.300 * [backup-simplify]: Simplify 0 into 0 7.300 * [backup-simplify]: Simplify 1 into 1 7.300 * [backup-simplify]: Simplify (* 1 1) into 1 7.301 * [backup-simplify]: Simplify (/ 1 1) into 1 7.301 * [backup-simplify]: Simplify (+ 0 1) into 1 7.301 * [backup-simplify]: Simplify (sqrt 1) into 1 7.301 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.302 * [backup-simplify]: Simplify (+ 0 0) into 0 7.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.303 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 7.303 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 7.303 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.303 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.303 * [taylor]: Taking taylor expansion of re in re 7.303 * [backup-simplify]: Simplify 0 into 0 7.303 * [backup-simplify]: Simplify 1 into 1 7.303 * [backup-simplify]: Simplify (* 1 1) into 1 7.303 * [backup-simplify]: Simplify (/ 1 1) into 1 7.303 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.303 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.303 * [taylor]: Taking taylor expansion of im in re 7.303 * [backup-simplify]: Simplify im into im 7.303 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.303 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.304 * [backup-simplify]: Simplify (+ 1 0) into 1 7.304 * [backup-simplify]: Simplify (sqrt 1) into 1 7.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.305 * [backup-simplify]: Simplify (+ 0 0) into 0 7.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.305 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 7.305 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 7.305 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.305 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.305 * [taylor]: Taking taylor expansion of re in re 7.305 * [backup-simplify]: Simplify 0 into 0 7.305 * [backup-simplify]: Simplify 1 into 1 7.306 * [backup-simplify]: Simplify (* 1 1) into 1 7.306 * [backup-simplify]: Simplify (/ 1 1) into 1 7.306 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.306 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.306 * [taylor]: Taking taylor expansion of im in re 7.306 * [backup-simplify]: Simplify im into im 7.306 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.306 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.306 * [backup-simplify]: Simplify (+ 1 0) into 1 7.307 * [backup-simplify]: Simplify (sqrt 1) into 1 7.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.308 * [backup-simplify]: Simplify (+ 0 0) into 0 7.308 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.308 * [taylor]: Taking taylor expansion of 1 in im 7.308 * [backup-simplify]: Simplify 1 into 1 7.308 * [taylor]: Taking taylor expansion of 0 in im 7.308 * [backup-simplify]: Simplify 0 into 0 7.308 * [backup-simplify]: Simplify 1 into 1 7.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.309 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 7.310 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.310 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 7.310 * [taylor]: Taking taylor expansion of 1/2 in im 7.310 * [backup-simplify]: Simplify 1/2 into 1/2 7.310 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.310 * [taylor]: Taking taylor expansion of im in im 7.310 * [backup-simplify]: Simplify 0 into 0 7.310 * [backup-simplify]: Simplify 1 into 1 7.311 * [backup-simplify]: Simplify (* 1 1) into 1 7.311 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.312 * [backup-simplify]: Simplify 0 into 0 7.312 * [backup-simplify]: Simplify 0 into 0 7.312 * [backup-simplify]: Simplify 0 into 0 7.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.313 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.313 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 7.313 * [backup-simplify]: Simplify (+ 0 0) into 0 7.314 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.314 * [taylor]: Taking taylor expansion of 0 in im 7.314 * [backup-simplify]: Simplify 0 into 0 7.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.315 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.315 * [backup-simplify]: Simplify 0 into 0 7.315 * [backup-simplify]: Simplify 0 into 0 7.315 * [backup-simplify]: Simplify 0 into 0 7.315 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 7.315 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 2 1 1 2 1) 7.315 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 7.315 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 7.315 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 7.315 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 7.315 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.315 * [taylor]: Taking taylor expansion of im in im 7.315 * [backup-simplify]: Simplify 0 into 0 7.315 * [backup-simplify]: Simplify 1 into 1 7.316 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.316 * [taylor]: Taking taylor expansion of re in im 7.316 * [backup-simplify]: Simplify re into re 7.316 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.316 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 7.316 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 7.316 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 7.316 * [backup-simplify]: Simplify (+ 0 0) into 0 7.316 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 7.316 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 7.316 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 7.316 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.316 * [taylor]: Taking taylor expansion of im in re 7.316 * [backup-simplify]: Simplify im into im 7.316 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.316 * [taylor]: Taking taylor expansion of re in re 7.316 * [backup-simplify]: Simplify 0 into 0 7.316 * [backup-simplify]: Simplify 1 into 1 7.316 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.316 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 7.316 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.316 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.317 * [backup-simplify]: Simplify (+ 0 0) into 0 7.317 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.317 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 7.317 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 7.317 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.317 * [taylor]: Taking taylor expansion of im in re 7.317 * [backup-simplify]: Simplify im into im 7.317 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.317 * [taylor]: Taking taylor expansion of re in re 7.317 * [backup-simplify]: Simplify 0 into 0 7.317 * [backup-simplify]: Simplify 1 into 1 7.317 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.317 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 7.317 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.317 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.317 * [backup-simplify]: Simplify (+ 0 0) into 0 7.317 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.317 * [taylor]: Taking taylor expansion of im in im 7.317 * [backup-simplify]: Simplify 0 into 0 7.317 * [backup-simplify]: Simplify 1 into 1 7.317 * [backup-simplify]: Simplify 0 into 0 7.317 * [taylor]: Taking taylor expansion of 0 in im 7.317 * [backup-simplify]: Simplify 0 into 0 7.317 * [backup-simplify]: Simplify 0 into 0 7.318 * [backup-simplify]: Simplify 1 into 1 7.318 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 7.318 * [backup-simplify]: Simplify (* 1 1) into 1 7.318 * [backup-simplify]: Simplify (+ 0 1) into 1 7.319 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 7.319 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 7.319 * [taylor]: Taking taylor expansion of 1/2 in im 7.319 * [backup-simplify]: Simplify 1/2 into 1/2 7.319 * [taylor]: Taking taylor expansion of im in im 7.319 * [backup-simplify]: Simplify 0 into 0 7.319 * [backup-simplify]: Simplify 1 into 1 7.319 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.320 * [backup-simplify]: Simplify 0 into 0 7.320 * [backup-simplify]: Simplify 0 into 0 7.320 * [backup-simplify]: Simplify 0 into 0 7.321 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 7.322 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.322 * [backup-simplify]: Simplify (+ 0 0) into 0 7.322 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 7.322 * [taylor]: Taking taylor expansion of 0 in im 7.322 * [backup-simplify]: Simplify 0 into 0 7.322 * [backup-simplify]: Simplify 0 into 0 7.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.323 * [backup-simplify]: Simplify 0 into 0 7.323 * [backup-simplify]: Simplify 0 into 0 7.323 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 7.324 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 7.324 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 7.324 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 7.324 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 7.324 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.324 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.324 * [taylor]: Taking taylor expansion of re in im 7.324 * [backup-simplify]: Simplify re into re 7.324 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.324 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.324 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.324 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.324 * [taylor]: Taking taylor expansion of im in im 7.324 * [backup-simplify]: Simplify 0 into 0 7.324 * [backup-simplify]: Simplify 1 into 1 7.325 * [backup-simplify]: Simplify (* 1 1) into 1 7.325 * [backup-simplify]: Simplify (/ 1 1) into 1 7.325 * [backup-simplify]: Simplify (+ 0 1) into 1 7.326 * [backup-simplify]: Simplify (sqrt 1) into 1 7.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.328 * [backup-simplify]: Simplify (+ 0 0) into 0 7.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.328 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 7.328 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 7.328 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.328 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.328 * [taylor]: Taking taylor expansion of re in re 7.328 * [backup-simplify]: Simplify 0 into 0 7.328 * [backup-simplify]: Simplify 1 into 1 7.329 * [backup-simplify]: Simplify (* 1 1) into 1 7.329 * [backup-simplify]: Simplify (/ 1 1) into 1 7.329 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.329 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.329 * [taylor]: Taking taylor expansion of im in re 7.329 * [backup-simplify]: Simplify im into im 7.329 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.330 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.330 * [backup-simplify]: Simplify (+ 1 0) into 1 7.330 * [backup-simplify]: Simplify (sqrt 1) into 1 7.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.332 * [backup-simplify]: Simplify (+ 0 0) into 0 7.333 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.333 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 7.333 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 7.333 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.333 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.333 * [taylor]: Taking taylor expansion of re in re 7.333 * [backup-simplify]: Simplify 0 into 0 7.333 * [backup-simplify]: Simplify 1 into 1 7.334 * [backup-simplify]: Simplify (* 1 1) into 1 7.334 * [backup-simplify]: Simplify (/ 1 1) into 1 7.334 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.334 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.334 * [taylor]: Taking taylor expansion of im in re 7.334 * [backup-simplify]: Simplify im into im 7.334 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.334 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.335 * [backup-simplify]: Simplify (+ 1 0) into 1 7.335 * [backup-simplify]: Simplify (sqrt 1) into 1 7.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.337 * [backup-simplify]: Simplify (+ 0 0) into 0 7.338 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.338 * [taylor]: Taking taylor expansion of 1 in im 7.338 * [backup-simplify]: Simplify 1 into 1 7.338 * [taylor]: Taking taylor expansion of 0 in im 7.338 * [backup-simplify]: Simplify 0 into 0 7.338 * [backup-simplify]: Simplify 1 into 1 7.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.340 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 7.341 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.341 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 7.341 * [taylor]: Taking taylor expansion of 1/2 in im 7.341 * [backup-simplify]: Simplify 1/2 into 1/2 7.341 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.341 * [taylor]: Taking taylor expansion of im in im 7.341 * [backup-simplify]: Simplify 0 into 0 7.341 * [backup-simplify]: Simplify 1 into 1 7.342 * [backup-simplify]: Simplify (* 1 1) into 1 7.342 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.343 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.343 * [backup-simplify]: Simplify 0 into 0 7.343 * [backup-simplify]: Simplify 0 into 0 7.344 * [backup-simplify]: Simplify 0 into 0 7.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.346 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.346 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 7.346 * [backup-simplify]: Simplify (+ 0 0) into 0 7.347 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.347 * [taylor]: Taking taylor expansion of 0 in im 7.347 * [backup-simplify]: Simplify 0 into 0 7.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.348 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.348 * [backup-simplify]: Simplify 0 into 0 7.348 * [backup-simplify]: Simplify 0 into 0 7.349 * [backup-simplify]: Simplify 0 into 0 7.349 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 7.349 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 7.349 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 7.349 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 7.349 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 7.349 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.349 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.349 * [taylor]: Taking taylor expansion of re in im 7.349 * [backup-simplify]: Simplify re into re 7.349 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.349 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.349 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.349 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.349 * [taylor]: Taking taylor expansion of im in im 7.349 * [backup-simplify]: Simplify 0 into 0 7.349 * [backup-simplify]: Simplify 1 into 1 7.349 * [backup-simplify]: Simplify (* 1 1) into 1 7.350 * [backup-simplify]: Simplify (/ 1 1) into 1 7.350 * [backup-simplify]: Simplify (+ 0 1) into 1 7.350 * [backup-simplify]: Simplify (sqrt 1) into 1 7.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.351 * [backup-simplify]: Simplify (+ 0 0) into 0 7.352 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.352 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 7.352 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 7.352 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.352 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.352 * [taylor]: Taking taylor expansion of re in re 7.352 * [backup-simplify]: Simplify 0 into 0 7.352 * [backup-simplify]: Simplify 1 into 1 7.352 * [backup-simplify]: Simplify (* 1 1) into 1 7.352 * [backup-simplify]: Simplify (/ 1 1) into 1 7.352 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.352 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.352 * [taylor]: Taking taylor expansion of im in re 7.352 * [backup-simplify]: Simplify im into im 7.352 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.352 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.353 * [backup-simplify]: Simplify (+ 1 0) into 1 7.353 * [backup-simplify]: Simplify (sqrt 1) into 1 7.353 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.354 * [backup-simplify]: Simplify (+ 0 0) into 0 7.354 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.354 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 7.354 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 7.354 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.354 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.354 * [taylor]: Taking taylor expansion of re in re 7.354 * [backup-simplify]: Simplify 0 into 0 7.354 * [backup-simplify]: Simplify 1 into 1 7.355 * [backup-simplify]: Simplify (* 1 1) into 1 7.355 * [backup-simplify]: Simplify (/ 1 1) into 1 7.355 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.355 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.355 * [taylor]: Taking taylor expansion of im in re 7.355 * [backup-simplify]: Simplify im into im 7.355 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.355 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.355 * [backup-simplify]: Simplify (+ 1 0) into 1 7.356 * [backup-simplify]: Simplify (sqrt 1) into 1 7.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.357 * [backup-simplify]: Simplify (+ 0 0) into 0 7.357 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.357 * [taylor]: Taking taylor expansion of 1 in im 7.357 * [backup-simplify]: Simplify 1 into 1 7.357 * [taylor]: Taking taylor expansion of 0 in im 7.357 * [backup-simplify]: Simplify 0 into 0 7.357 * [backup-simplify]: Simplify 1 into 1 7.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.358 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 7.359 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.359 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 7.359 * [taylor]: Taking taylor expansion of 1/2 in im 7.359 * [backup-simplify]: Simplify 1/2 into 1/2 7.359 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.359 * [taylor]: Taking taylor expansion of im in im 7.359 * [backup-simplify]: Simplify 0 into 0 7.359 * [backup-simplify]: Simplify 1 into 1 7.360 * [backup-simplify]: Simplify (* 1 1) into 1 7.360 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.360 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.361 * [backup-simplify]: Simplify 0 into 0 7.361 * [backup-simplify]: Simplify 0 into 0 7.361 * [backup-simplify]: Simplify 0 into 0 7.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.362 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.362 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 7.362 * [backup-simplify]: Simplify (+ 0 0) into 0 7.363 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.363 * [taylor]: Taking taylor expansion of 0 in im 7.363 * [backup-simplify]: Simplify 0 into 0 7.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.364 * [backup-simplify]: Simplify 0 into 0 7.364 * [backup-simplify]: Simplify 0 into 0 7.364 * [backup-simplify]: Simplify 0 into 0 7.364 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 7.364 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 2 1 1 1 1) 7.364 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 7.364 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 7.364 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 7.364 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 7.364 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.364 * [taylor]: Taking taylor expansion of im in im 7.364 * [backup-simplify]: Simplify 0 into 0 7.364 * [backup-simplify]: Simplify 1 into 1 7.364 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.364 * [taylor]: Taking taylor expansion of re in im 7.364 * [backup-simplify]: Simplify re into re 7.365 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.365 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 7.365 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 7.365 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 7.365 * [backup-simplify]: Simplify (+ 0 0) into 0 7.365 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 7.365 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 7.365 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 7.365 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.365 * [taylor]: Taking taylor expansion of im in re 7.365 * [backup-simplify]: Simplify im into im 7.365 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.365 * [taylor]: Taking taylor expansion of re in re 7.365 * [backup-simplify]: Simplify 0 into 0 7.365 * [backup-simplify]: Simplify 1 into 1 7.365 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.365 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 7.365 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.365 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.366 * [backup-simplify]: Simplify (+ 0 0) into 0 7.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.366 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 7.366 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 7.366 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.366 * [taylor]: Taking taylor expansion of im in re 7.366 * [backup-simplify]: Simplify im into im 7.366 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.366 * [taylor]: Taking taylor expansion of re in re 7.366 * [backup-simplify]: Simplify 0 into 0 7.366 * [backup-simplify]: Simplify 1 into 1 7.366 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.366 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 7.366 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.366 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.366 * [backup-simplify]: Simplify (+ 0 0) into 0 7.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.367 * [taylor]: Taking taylor expansion of im in im 7.367 * [backup-simplify]: Simplify 0 into 0 7.367 * [backup-simplify]: Simplify 1 into 1 7.367 * [backup-simplify]: Simplify 0 into 0 7.367 * [taylor]: Taking taylor expansion of 0 in im 7.367 * [backup-simplify]: Simplify 0 into 0 7.367 * [backup-simplify]: Simplify 0 into 0 7.367 * [backup-simplify]: Simplify 1 into 1 7.367 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 7.367 * [backup-simplify]: Simplify (* 1 1) into 1 7.367 * [backup-simplify]: Simplify (+ 0 1) into 1 7.368 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 7.368 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 7.368 * [taylor]: Taking taylor expansion of 1/2 in im 7.368 * [backup-simplify]: Simplify 1/2 into 1/2 7.368 * [taylor]: Taking taylor expansion of im in im 7.368 * [backup-simplify]: Simplify 0 into 0 7.368 * [backup-simplify]: Simplify 1 into 1 7.368 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.369 * [backup-simplify]: Simplify 0 into 0 7.369 * [backup-simplify]: Simplify 0 into 0 7.369 * [backup-simplify]: Simplify 0 into 0 7.369 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 7.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.370 * [backup-simplify]: Simplify (+ 0 0) into 0 7.370 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 7.370 * [taylor]: Taking taylor expansion of 0 in im 7.370 * [backup-simplify]: Simplify 0 into 0 7.370 * [backup-simplify]: Simplify 0 into 0 7.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.371 * [backup-simplify]: Simplify 0 into 0 7.371 * [backup-simplify]: Simplify 0 into 0 7.371 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 7.371 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 7.371 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 7.371 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 7.371 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 7.371 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.371 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.371 * [taylor]: Taking taylor expansion of re in im 7.371 * [backup-simplify]: Simplify re into re 7.371 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.371 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.371 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.371 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.371 * [taylor]: Taking taylor expansion of im in im 7.371 * [backup-simplify]: Simplify 0 into 0 7.371 * [backup-simplify]: Simplify 1 into 1 7.372 * [backup-simplify]: Simplify (* 1 1) into 1 7.372 * [backup-simplify]: Simplify (/ 1 1) into 1 7.372 * [backup-simplify]: Simplify (+ 0 1) into 1 7.372 * [backup-simplify]: Simplify (sqrt 1) into 1 7.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.373 * [backup-simplify]: Simplify (+ 0 0) into 0 7.374 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.374 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 7.374 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 7.374 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.374 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.374 * [taylor]: Taking taylor expansion of re in re 7.374 * [backup-simplify]: Simplify 0 into 0 7.374 * [backup-simplify]: Simplify 1 into 1 7.374 * [backup-simplify]: Simplify (* 1 1) into 1 7.374 * [backup-simplify]: Simplify (/ 1 1) into 1 7.375 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.375 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.375 * [taylor]: Taking taylor expansion of im in re 7.375 * [backup-simplify]: Simplify im into im 7.375 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.375 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.375 * [backup-simplify]: Simplify (+ 1 0) into 1 7.375 * [backup-simplify]: Simplify (sqrt 1) into 1 7.376 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.376 * [backup-simplify]: Simplify (+ 0 0) into 0 7.377 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.377 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 7.377 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 7.377 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.377 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.377 * [taylor]: Taking taylor expansion of re in re 7.377 * [backup-simplify]: Simplify 0 into 0 7.377 * [backup-simplify]: Simplify 1 into 1 7.377 * [backup-simplify]: Simplify (* 1 1) into 1 7.377 * [backup-simplify]: Simplify (/ 1 1) into 1 7.377 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.377 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.377 * [taylor]: Taking taylor expansion of im in re 7.377 * [backup-simplify]: Simplify im into im 7.377 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.377 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.378 * [backup-simplify]: Simplify (+ 1 0) into 1 7.378 * [backup-simplify]: Simplify (sqrt 1) into 1 7.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.379 * [backup-simplify]: Simplify (+ 0 0) into 0 7.379 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.380 * [taylor]: Taking taylor expansion of 1 in im 7.380 * [backup-simplify]: Simplify 1 into 1 7.380 * [taylor]: Taking taylor expansion of 0 in im 7.380 * [backup-simplify]: Simplify 0 into 0 7.380 * [backup-simplify]: Simplify 1 into 1 7.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.382 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 7.383 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.383 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 7.383 * [taylor]: Taking taylor expansion of 1/2 in im 7.383 * [backup-simplify]: Simplify 1/2 into 1/2 7.383 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.383 * [taylor]: Taking taylor expansion of im in im 7.383 * [backup-simplify]: Simplify 0 into 0 7.383 * [backup-simplify]: Simplify 1 into 1 7.384 * [backup-simplify]: Simplify (* 1 1) into 1 7.384 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.386 * [backup-simplify]: Simplify 0 into 0 7.386 * [backup-simplify]: Simplify 0 into 0 7.386 * [backup-simplify]: Simplify 0 into 0 7.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.388 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.388 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 7.388 * [backup-simplify]: Simplify (+ 0 0) into 0 7.389 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.389 * [taylor]: Taking taylor expansion of 0 in im 7.389 * [backup-simplify]: Simplify 0 into 0 7.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.391 * [backup-simplify]: Simplify 0 into 0 7.391 * [backup-simplify]: Simplify 0 into 0 7.391 * [backup-simplify]: Simplify 0 into 0 7.391 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 7.391 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 7.391 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 7.391 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 7.391 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 7.391 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.392 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.392 * [taylor]: Taking taylor expansion of re in im 7.392 * [backup-simplify]: Simplify re into re 7.392 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.392 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.392 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.392 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.392 * [taylor]: Taking taylor expansion of im in im 7.392 * [backup-simplify]: Simplify 0 into 0 7.392 * [backup-simplify]: Simplify 1 into 1 7.392 * [backup-simplify]: Simplify (* 1 1) into 1 7.393 * [backup-simplify]: Simplify (/ 1 1) into 1 7.393 * [backup-simplify]: Simplify (+ 0 1) into 1 7.393 * [backup-simplify]: Simplify (sqrt 1) into 1 7.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.395 * [backup-simplify]: Simplify (+ 0 0) into 0 7.401 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.401 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 7.401 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 7.401 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.401 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.401 * [taylor]: Taking taylor expansion of re in re 7.401 * [backup-simplify]: Simplify 0 into 0 7.401 * [backup-simplify]: Simplify 1 into 1 7.402 * [backup-simplify]: Simplify (* 1 1) into 1 7.402 * [backup-simplify]: Simplify (/ 1 1) into 1 7.402 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.402 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.403 * [taylor]: Taking taylor expansion of im in re 7.403 * [backup-simplify]: Simplify im into im 7.403 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.403 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.403 * [backup-simplify]: Simplify (+ 1 0) into 1 7.404 * [backup-simplify]: Simplify (sqrt 1) into 1 7.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.405 * [backup-simplify]: Simplify (+ 0 0) into 0 7.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.406 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 7.406 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 7.406 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.406 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.406 * [taylor]: Taking taylor expansion of re in re 7.406 * [backup-simplify]: Simplify 0 into 0 7.406 * [backup-simplify]: Simplify 1 into 1 7.407 * [backup-simplify]: Simplify (* 1 1) into 1 7.407 * [backup-simplify]: Simplify (/ 1 1) into 1 7.407 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.407 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.407 * [taylor]: Taking taylor expansion of im in re 7.407 * [backup-simplify]: Simplify im into im 7.407 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.407 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.408 * [backup-simplify]: Simplify (+ 1 0) into 1 7.408 * [backup-simplify]: Simplify (sqrt 1) into 1 7.409 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.410 * [backup-simplify]: Simplify (+ 0 0) into 0 7.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.411 * [taylor]: Taking taylor expansion of 1 in im 7.411 * [backup-simplify]: Simplify 1 into 1 7.411 * [taylor]: Taking taylor expansion of 0 in im 7.411 * [backup-simplify]: Simplify 0 into 0 7.411 * [backup-simplify]: Simplify 1 into 1 7.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.413 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 7.414 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.414 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 7.414 * [taylor]: Taking taylor expansion of 1/2 in im 7.414 * [backup-simplify]: Simplify 1/2 into 1/2 7.414 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.414 * [taylor]: Taking taylor expansion of im in im 7.414 * [backup-simplify]: Simplify 0 into 0 7.414 * [backup-simplify]: Simplify 1 into 1 7.415 * [backup-simplify]: Simplify (* 1 1) into 1 7.415 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.416 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.417 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.417 * [backup-simplify]: Simplify 0 into 0 7.417 * [backup-simplify]: Simplify 0 into 0 7.417 * [backup-simplify]: Simplify 0 into 0 7.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.419 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.419 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 7.419 * [backup-simplify]: Simplify (+ 0 0) into 0 7.420 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.420 * [taylor]: Taking taylor expansion of 0 in im 7.420 * [backup-simplify]: Simplify 0 into 0 7.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.422 * [backup-simplify]: Simplify 0 into 0 7.422 * [backup-simplify]: Simplify 0 into 0 7.422 * [backup-simplify]: Simplify 0 into 0 7.422 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 7.422 * * * [progress]: simplifying candidates 7.422 * * * * [progress]: [ 1 / 76 ] simplifiying candidate # 7.422 * * * * [progress]: [ 2 / 76 ] simplifiying candidate # 7.423 * * * * [progress]: [ 3 / 76 ] simplifiying candidate # 7.423 * * * * [progress]: [ 4 / 76 ] simplifiying candidate # 7.423 * * * * [progress]: [ 5 / 76 ] simplifiying candidate # 7.423 * * * * [progress]: [ 6 / 76 ] simplifiying candidate # 7.423 * * * * [progress]: [ 7 / 76 ] simplifiying candidate # 7.423 * * * * [progress]: [ 8 / 76 ] simplifiying candidate # 7.423 * * * * [progress]: [ 9 / 76 ] simplifiying candidate # 7.423 * * * * [progress]: [ 10 / 76 ] simplifiying candidate # 7.423 * * * * [progress]: [ 11 / 76 ] simplifiying candidate # 7.423 * * * * [progress]: [ 12 / 76 ] simplifiying candidate # 7.424 * * * * [progress]: [ 13 / 76 ] simplifiying candidate # 7.424 * * * * [progress]: [ 14 / 76 ] simplifiying candidate # 7.424 * * * * [progress]: [ 15 / 76 ] simplifiying candidate # 7.424 * * * * [progress]: [ 16 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))) re)))))))> 7.424 * * * * [progress]: [ 17 / 76 ] simplifiying candidate # 7.424 * * * * [progress]: [ 18 / 76 ] simplifiying candidate # 7.424 * * * * [progress]: [ 19 / 76 ] simplifiying candidate # 7.424 * * * * [progress]: [ 20 / 76 ] simplifiying candidate # 7.424 * * * * [progress]: [ 21 / 76 ] simplifiying candidate # 7.424 * * * * [progress]: [ 22 / 76 ] simplifiying candidate # 7.424 * * * * [progress]: [ 23 / 76 ] simplifiying candidate # 7.424 * * * * [progress]: [ 24 / 76 ] simplifiying candidate # 7.425 * * * * [progress]: [ 25 / 76 ] simplifiying candidate # 7.425 * * * * [progress]: [ 26 / 76 ] simplifiying candidate # 7.425 * * * * [progress]: [ 27 / 76 ] simplifiying candidate # 7.425 * * * * [progress]: [ 28 / 76 ] simplifiying candidate # 7.425 * * * * [progress]: [ 29 / 76 ] simplifiying candidate # 7.425 * * * * [progress]: [ 30 / 76 ] simplifiying candidate # 7.425 * * * * [progress]: [ 31 / 76 ] simplifiying candidate # 7.425 * * * * [progress]: [ 32 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> 7.425 * * * * [progress]: [ 33 / 76 ] simplifiying candidate # 7.425 * * * * [progress]: [ 34 / 76 ] simplifiying candidate # 7.425 * * * * [progress]: [ 35 / 76 ] simplifiying candidate # 7.425 * * * * [progress]: [ 36 / 76 ] simplifiying candidate # 7.426 * * * * [progress]: [ 37 / 76 ] simplifiying candidate # 7.426 * * * * [progress]: [ 38 / 76 ] simplifiying candidate # 7.426 * * * * [progress]: [ 39 / 76 ] simplifiying candidate # 7.426 * * * * [progress]: [ 40 / 76 ] simplifiying candidate # 7.426 * * * * [progress]: [ 41 / 76 ] simplifiying candidate # 7.426 * * * * [progress]: [ 42 / 76 ] simplifiying candidate # 7.426 * * * * [progress]: [ 43 / 76 ] simplifiying candidate # 7.426 * * * * [progress]: [ 44 / 76 ] simplifiying candidate # 7.426 * * * * [progress]: [ 45 / 76 ] simplifiying candidate # 7.426 * * * * [progress]: [ 46 / 76 ] simplifiying candidate # 7.426 * * * * [progress]: [ 47 / 76 ] simplifiying candidate # 7.427 * * * * [progress]: [ 48 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))) re))) (cbrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> 7.427 * * * * [progress]: [ 49 / 76 ] simplifiying candidate # 7.427 * * * * [progress]: [ 50 / 76 ] simplifiying candidate # 7.427 * * * * [progress]: [ 51 / 76 ] simplifiying candidate # 7.427 * * * * [progress]: [ 52 / 76 ] simplifiying candidate # 7.427 * * * * [progress]: [ 53 / 76 ] simplifiying candidate # 7.427 * * * * [progress]: [ 54 / 76 ] simplifiying candidate # 7.427 * * * * [progress]: [ 55 / 76 ] simplifiying candidate # 7.427 * * * * [progress]: [ 56 / 76 ] simplifiying candidate # 7.427 * * * * [progress]: [ 57 / 76 ] simplifiying candidate # 7.427 * * * * [progress]: [ 58 / 76 ] simplifiying candidate # 7.428 * * * * [progress]: [ 59 / 76 ] simplifiying candidate # 7.428 * * * * [progress]: [ 60 / 76 ] simplifiying candidate # 7.428 * * * * [progress]: [ 61 / 76 ] simplifiying candidate # 7.428 * * * * [progress]: [ 62 / 76 ] simplifiying candidate # 7.428 * * * * [progress]: [ 63 / 76 ] simplifiying candidate # 7.428 * * * * [progress]: [ 64 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> 7.428 * * * * [progress]: [ 65 / 76 ] simplifiying candidate # 7.428 * * * * [progress]: [ 66 / 76 ] simplifiying candidate # 7.428 * * * * [progress]: [ 67 / 76 ] simplifiying candidate # 7.428 * * * * [progress]: [ 68 / 76 ] simplifiying candidate # 7.428 * * * * [progress]: [ 69 / 76 ] simplifiying candidate # 7.428 * * * * [progress]: [ 70 / 76 ] simplifiying candidate # 7.429 * * * * [progress]: [ 71 / 76 ] simplifiying candidate # 7.429 * * * * [progress]: [ 72 / 76 ] simplifiying candidate # 7.429 * * * * [progress]: [ 73 / 76 ] simplifiying candidate # 7.429 * * * * [progress]: [ 74 / 76 ] simplifiying candidate # 7.429 * * * * [progress]: [ 75 / 76 ] simplifiying candidate # 7.429 * * * * [progress]: [ 76 / 76 ] simplifiying candidate # 7.430 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) im re (* -1 re) im re (* -1 re) im re (* -1 re) im re (* -1 re) 7.432 * * [simplify]: iteration 0: 39 enodes 7.446 * * [simplify]: iteration 1: 92 enodes 7.465 * * [simplify]: iteration 2: 196 enodes 7.521 * * [simplify]: iteration 3: 435 enodes 7.735 * * [simplify]: iteration 4: 995 enodes 8.405 * * [simplify]: iteration 5: 3254 enodes 9.660 * * [simplify]: iteration complete: 5001 enodes 9.660 * * [simplify]: Extracting #0: cost 19 inf + 0 9.661 * * [simplify]: Extracting #1: cost 37 inf + 4 9.661 * * [simplify]: Extracting #2: cost 212 inf + 49 9.664 * * [simplify]: Extracting #3: cost 852 inf + 8041 9.691 * * [simplify]: Extracting #4: cost 756 inf + 90254 9.767 * * [simplify]: Extracting #5: cost 387 inf + 186778 9.821 * * [simplify]: Extracting #6: cost 217 inf + 256600 9.875 * * [simplify]: Extracting #7: cost 64 inf + 347288 9.984 * * [simplify]: Extracting #8: cost 9 inf + 362642 10.058 * * [simplify]: Extracting #9: cost 0 inf + 365239 10.117 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re)))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re)))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re)))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re)))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) im re (- re) im re (- re) im re (- re) im re (- re) 10.143 * * * [progress]: adding candidates to table 10.868 * * [progress]: iteration 4 / 4 10.868 * * * [progress]: picking best candidate 10.897 * * * * [pick]: Picked # 10.897 * * * [progress]: localizing error 10.921 * * * [progress]: generating rewritten candidates 10.921 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1) 10.931 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 10.998 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 11.019 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2) 11.060 * * * [progress]: generating series expansions 11.060 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1) 11.060 * [backup-simplify]: Simplify (sqrt (+ (* im im) (* re re))) into (sqrt (+ (pow im 2) (pow re 2))) 11.060 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (im re) around 0 11.060 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 11.060 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 11.060 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.060 * [taylor]: Taking taylor expansion of im in re 11.060 * [backup-simplify]: Simplify im into im 11.060 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.060 * [taylor]: Taking taylor expansion of re in re 11.060 * [backup-simplify]: Simplify 0 into 0 11.060 * [backup-simplify]: Simplify 1 into 1 11.060 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.060 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 11.060 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 11.060 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.061 * [backup-simplify]: Simplify (+ 0 0) into 0 11.061 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 11.061 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 11.061 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 11.061 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.061 * [taylor]: Taking taylor expansion of im in im 11.061 * [backup-simplify]: Simplify 0 into 0 11.061 * [backup-simplify]: Simplify 1 into 1 11.061 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.061 * [taylor]: Taking taylor expansion of re in im 11.061 * [backup-simplify]: Simplify re into re 11.061 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.062 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 11.062 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 11.062 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 11.062 * [backup-simplify]: Simplify (+ 0 0) into 0 11.062 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 11.062 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 11.062 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 11.062 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.062 * [taylor]: Taking taylor expansion of im in im 11.062 * [backup-simplify]: Simplify 0 into 0 11.062 * [backup-simplify]: Simplify 1 into 1 11.062 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.062 * [taylor]: Taking taylor expansion of re in im 11.062 * [backup-simplify]: Simplify re into re 11.062 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.062 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 11.062 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 11.062 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 11.062 * [backup-simplify]: Simplify (+ 0 0) into 0 11.063 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 11.063 * [taylor]: Taking taylor expansion of re in re 11.063 * [backup-simplify]: Simplify 0 into 0 11.063 * [backup-simplify]: Simplify 1 into 1 11.063 * [backup-simplify]: Simplify 0 into 0 11.063 * [taylor]: Taking taylor expansion of 0 in re 11.063 * [backup-simplify]: Simplify 0 into 0 11.063 * [backup-simplify]: Simplify 0 into 0 11.063 * [backup-simplify]: Simplify 1 into 1 11.063 * [backup-simplify]: Simplify (* 1 1) into 1 11.063 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 11.064 * [backup-simplify]: Simplify (+ 1 0) into 1 11.064 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 11.064 * [taylor]: Taking taylor expansion of (/ 1/2 re) in re 11.064 * [taylor]: Taking taylor expansion of 1/2 in re 11.064 * [backup-simplify]: Simplify 1/2 into 1/2 11.064 * [taylor]: Taking taylor expansion of re in re 11.064 * [backup-simplify]: Simplify 0 into 0 11.064 * [backup-simplify]: Simplify 1 into 1 11.064 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 11.065 * [backup-simplify]: Simplify 0 into 0 11.065 * [backup-simplify]: Simplify 0 into 0 11.065 * [backup-simplify]: Simplify 0 into 0 11.065 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.066 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 11.066 * [backup-simplify]: Simplify (+ 0 0) into 0 11.066 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 11.066 * [taylor]: Taking taylor expansion of 0 in re 11.066 * [backup-simplify]: Simplify 0 into 0 11.066 * [backup-simplify]: Simplify 0 into 0 11.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.067 * [backup-simplify]: Simplify 0 into 0 11.067 * [backup-simplify]: Simplify 0 into 0 11.067 * [backup-simplify]: Simplify (* 1 (* re 1)) into re 11.067 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 11.067 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (im re) around 0 11.067 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 11.067 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 11.067 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.067 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.067 * [taylor]: Taking taylor expansion of re in re 11.067 * [backup-simplify]: Simplify 0 into 0 11.067 * [backup-simplify]: Simplify 1 into 1 11.068 * [backup-simplify]: Simplify (* 1 1) into 1 11.068 * [backup-simplify]: Simplify (/ 1 1) into 1 11.068 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.068 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.068 * [taylor]: Taking taylor expansion of im in re 11.068 * [backup-simplify]: Simplify im into im 11.068 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.068 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.068 * [backup-simplify]: Simplify (+ 1 0) into 1 11.069 * [backup-simplify]: Simplify (sqrt 1) into 1 11.069 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.070 * [backup-simplify]: Simplify (+ 0 0) into 0 11.070 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.070 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 11.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 11.070 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 11.070 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.070 * [taylor]: Taking taylor expansion of re in im 11.070 * [backup-simplify]: Simplify re into re 11.070 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.070 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 11.070 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.070 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.070 * [taylor]: Taking taylor expansion of im in im 11.070 * [backup-simplify]: Simplify 0 into 0 11.070 * [backup-simplify]: Simplify 1 into 1 11.071 * [backup-simplify]: Simplify (* 1 1) into 1 11.071 * [backup-simplify]: Simplify (/ 1 1) into 1 11.071 * [backup-simplify]: Simplify (+ 0 1) into 1 11.071 * [backup-simplify]: Simplify (sqrt 1) into 1 11.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.072 * [backup-simplify]: Simplify (+ 0 0) into 0 11.073 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.073 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 11.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 11.073 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 11.073 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.073 * [taylor]: Taking taylor expansion of re in im 11.073 * [backup-simplify]: Simplify re into re 11.073 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.073 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 11.073 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.073 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.073 * [taylor]: Taking taylor expansion of im in im 11.073 * [backup-simplify]: Simplify 0 into 0 11.073 * [backup-simplify]: Simplify 1 into 1 11.073 * [backup-simplify]: Simplify (* 1 1) into 1 11.074 * [backup-simplify]: Simplify (/ 1 1) into 1 11.074 * [backup-simplify]: Simplify (+ 0 1) into 1 11.074 * [backup-simplify]: Simplify (sqrt 1) into 1 11.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.077 * [backup-simplify]: Simplify (+ 0 0) into 0 11.078 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.078 * [taylor]: Taking taylor expansion of 1 in re 11.078 * [backup-simplify]: Simplify 1 into 1 11.078 * [taylor]: Taking taylor expansion of 0 in re 11.078 * [backup-simplify]: Simplify 0 into 0 11.078 * [backup-simplify]: Simplify 1 into 1 11.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.079 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 11.080 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 11.080 * [taylor]: Taking taylor expansion of (/ 1/2 (pow re 2)) in re 11.080 * [taylor]: Taking taylor expansion of 1/2 in re 11.080 * [backup-simplify]: Simplify 1/2 into 1/2 11.080 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.080 * [taylor]: Taking taylor expansion of re in re 11.080 * [backup-simplify]: Simplify 0 into 0 11.080 * [backup-simplify]: Simplify 1 into 1 11.080 * [backup-simplify]: Simplify (* 1 1) into 1 11.080 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 11.081 * [backup-simplify]: Simplify 0 into 0 11.081 * [backup-simplify]: Simplify 0 into 0 11.081 * [backup-simplify]: Simplify 0 into 0 11.081 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 11.082 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 11.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.083 * [backup-simplify]: Simplify (+ 0 0) into 0 11.083 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0 11.083 * [taylor]: Taking taylor expansion of 0 in re 11.083 * [backup-simplify]: Simplify 0 into 0 11.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.084 * [backup-simplify]: Simplify 0 into 0 11.084 * [backup-simplify]: Simplify 0 into 0 11.084 * [backup-simplify]: Simplify 0 into 0 11.085 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 im)))) into im 11.085 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- im)) (/ 1 (- im))) (* (/ 1 (- re)) (/ 1 (- re))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 11.085 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (im re) around 0 11.085 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 11.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 11.085 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.085 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.085 * [taylor]: Taking taylor expansion of re in re 11.085 * [backup-simplify]: Simplify 0 into 0 11.085 * [backup-simplify]: Simplify 1 into 1 11.085 * [backup-simplify]: Simplify (* 1 1) into 1 11.085 * [backup-simplify]: Simplify (/ 1 1) into 1 11.085 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.085 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.085 * [taylor]: Taking taylor expansion of im in re 11.085 * [backup-simplify]: Simplify im into im 11.085 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.085 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.086 * [backup-simplify]: Simplify (+ 1 0) into 1 11.086 * [backup-simplify]: Simplify (sqrt 1) into 1 11.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.087 * [backup-simplify]: Simplify (+ 0 0) into 0 11.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.088 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 11.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 11.088 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 11.088 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.088 * [taylor]: Taking taylor expansion of re in im 11.088 * [backup-simplify]: Simplify re into re 11.088 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.088 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 11.088 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.088 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.088 * [taylor]: Taking taylor expansion of im in im 11.088 * [backup-simplify]: Simplify 0 into 0 11.088 * [backup-simplify]: Simplify 1 into 1 11.088 * [backup-simplify]: Simplify (* 1 1) into 1 11.088 * [backup-simplify]: Simplify (/ 1 1) into 1 11.089 * [backup-simplify]: Simplify (+ 0 1) into 1 11.089 * [backup-simplify]: Simplify (sqrt 1) into 1 11.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.090 * [backup-simplify]: Simplify (+ 0 0) into 0 11.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.090 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 11.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 11.090 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 11.091 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.091 * [taylor]: Taking taylor expansion of re in im 11.091 * [backup-simplify]: Simplify re into re 11.091 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.091 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 11.091 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.091 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.091 * [taylor]: Taking taylor expansion of im in im 11.091 * [backup-simplify]: Simplify 0 into 0 11.091 * [backup-simplify]: Simplify 1 into 1 11.091 * [backup-simplify]: Simplify (* 1 1) into 1 11.091 * [backup-simplify]: Simplify (/ 1 1) into 1 11.092 * [backup-simplify]: Simplify (+ 0 1) into 1 11.092 * [backup-simplify]: Simplify (sqrt 1) into 1 11.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.094 * [backup-simplify]: Simplify (+ 0 0) into 0 11.094 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.095 * [taylor]: Taking taylor expansion of 1 in re 11.095 * [backup-simplify]: Simplify 1 into 1 11.095 * [taylor]: Taking taylor expansion of 0 in re 11.095 * [backup-simplify]: Simplify 0 into 0 11.095 * [backup-simplify]: Simplify 1 into 1 11.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.097 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 11.098 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 11.098 * [taylor]: Taking taylor expansion of (/ 1/2 (pow re 2)) in re 11.098 * [taylor]: Taking taylor expansion of 1/2 in re 11.098 * [backup-simplify]: Simplify 1/2 into 1/2 11.098 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.098 * [taylor]: Taking taylor expansion of re in re 11.098 * [backup-simplify]: Simplify 0 into 0 11.098 * [backup-simplify]: Simplify 1 into 1 11.098 * [backup-simplify]: Simplify (* 1 1) into 1 11.099 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.100 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 11.100 * [backup-simplify]: Simplify 0 into 0 11.100 * [backup-simplify]: Simplify 0 into 0 11.100 * [backup-simplify]: Simplify 0 into 0 11.101 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 11.101 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 11.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.103 * [backup-simplify]: Simplify (+ 0 0) into 0 11.104 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0 11.104 * [taylor]: Taking taylor expansion of 0 in re 11.104 * [backup-simplify]: Simplify 0 into 0 11.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.106 * [backup-simplify]: Simplify 0 into 0 11.106 * [backup-simplify]: Simplify 0 into 0 11.106 * [backup-simplify]: Simplify 0 into 0 11.106 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- im))))) into (* -1 im) 11.106 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 11.106 * [backup-simplify]: Simplify (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re)) into (/ (pow im 2) (+ re (sqrt (+ (pow im 2) (pow re 2))))) 11.106 * [approximate]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow im 2) (pow re 2))))) in (im re) around 0 11.106 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re 11.106 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.106 * [taylor]: Taking taylor expansion of im in re 11.107 * [backup-simplify]: Simplify im into im 11.107 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 11.107 * [taylor]: Taking taylor expansion of re in re 11.107 * [backup-simplify]: Simplify 0 into 0 11.107 * [backup-simplify]: Simplify 1 into 1 11.107 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 11.107 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 11.107 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.107 * [taylor]: Taking taylor expansion of im in re 11.107 * [backup-simplify]: Simplify im into im 11.107 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.107 * [taylor]: Taking taylor expansion of re in re 11.107 * [backup-simplify]: Simplify 0 into 0 11.107 * [backup-simplify]: Simplify 1 into 1 11.107 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.107 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 11.107 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 11.107 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.108 * [backup-simplify]: Simplify (+ 0 0) into 0 11.108 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 11.108 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.108 * [backup-simplify]: Simplify (+ 0 im) into im 11.108 * [backup-simplify]: Simplify (/ (pow im 2) im) into im 11.108 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im 11.108 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.108 * [taylor]: Taking taylor expansion of im in im 11.108 * [backup-simplify]: Simplify 0 into 0 11.108 * [backup-simplify]: Simplify 1 into 1 11.108 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 11.108 * [taylor]: Taking taylor expansion of re in im 11.108 * [backup-simplify]: Simplify re into re 11.108 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 11.108 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 11.108 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.108 * [taylor]: Taking taylor expansion of im in im 11.108 * [backup-simplify]: Simplify 0 into 0 11.108 * [backup-simplify]: Simplify 1 into 1 11.108 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.108 * [taylor]: Taking taylor expansion of re in im 11.108 * [backup-simplify]: Simplify re into re 11.108 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.109 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 11.109 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 11.109 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 11.109 * [backup-simplify]: Simplify (+ 0 0) into 0 11.109 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 11.110 * [backup-simplify]: Simplify (* 1 1) into 1 11.110 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 11.110 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 11.110 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im 11.110 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.110 * [taylor]: Taking taylor expansion of im in im 11.110 * [backup-simplify]: Simplify 0 into 0 11.110 * [backup-simplify]: Simplify 1 into 1 11.110 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 11.110 * [taylor]: Taking taylor expansion of re in im 11.110 * [backup-simplify]: Simplify re into re 11.110 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 11.110 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 11.110 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.110 * [taylor]: Taking taylor expansion of im in im 11.110 * [backup-simplify]: Simplify 0 into 0 11.110 * [backup-simplify]: Simplify 1 into 1 11.110 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.110 * [taylor]: Taking taylor expansion of re in im 11.110 * [backup-simplify]: Simplify re into re 11.110 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.110 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 11.110 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 11.111 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 11.111 * [backup-simplify]: Simplify (+ 0 0) into 0 11.111 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 11.112 * [backup-simplify]: Simplify (* 1 1) into 1 11.112 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 11.112 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 11.112 * [taylor]: Taking taylor expansion of (/ 1/2 re) in re 11.112 * [taylor]: Taking taylor expansion of 1/2 in re 11.112 * [backup-simplify]: Simplify 1/2 into 1/2 11.112 * [taylor]: Taking taylor expansion of re in re 11.112 * [backup-simplify]: Simplify 0 into 0 11.112 * [backup-simplify]: Simplify 1 into 1 11.113 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 11.113 * [backup-simplify]: Simplify 0 into 0 11.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.114 * [backup-simplify]: Simplify (+ 0 0) into 0 11.115 * [backup-simplify]: Simplify (- (/ 0 (* 2 re)) (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 11.115 * [taylor]: Taking taylor expansion of 0 in re 11.115 * [backup-simplify]: Simplify 0 into 0 11.115 * [backup-simplify]: Simplify 0 into 0 11.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.116 * [backup-simplify]: Simplify 0 into 0 11.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.117 * [backup-simplify]: Simplify (* 1 1) into 1 11.117 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 11.118 * [backup-simplify]: Simplify (+ 1 0) into 1 11.119 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 11.119 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re)) 11.119 * [backup-simplify]: Simplify (- (/ 0 (* 2 re)) (+ (* (/ 1/2 re) (/ (* 1/2 (/ 1 re)) (* 2 re))) (* 0 (/ 0 (* 2 re))))) into (- (* 1/8 (/ 1 (pow re 3)))) 11.119 * [taylor]: Taking taylor expansion of (- (* 1/8 (/ 1 (pow re 3)))) in re 11.119 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow re 3))) in re 11.119 * [taylor]: Taking taylor expansion of 1/8 in re 11.119 * [backup-simplify]: Simplify 1/8 into 1/8 11.119 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re 11.119 * [taylor]: Taking taylor expansion of (pow re 3) in re 11.119 * [taylor]: Taking taylor expansion of re in re 11.119 * [backup-simplify]: Simplify 0 into 0 11.119 * [backup-simplify]: Simplify 1 into 1 11.120 * [backup-simplify]: Simplify (* 1 1) into 1 11.120 * [backup-simplify]: Simplify (* 1 1) into 1 11.121 * [backup-simplify]: Simplify (/ 1 1) into 1 11.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.129 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.130 * [backup-simplify]: Simplify (- 0) into 0 11.130 * [backup-simplify]: Simplify 0 into 0 11.130 * [backup-simplify]: Simplify 0 into 0 11.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.131 * [backup-simplify]: Simplify 0 into 0 11.131 * [backup-simplify]: Simplify 0 into 0 11.131 * [backup-simplify]: Simplify (/ (* (/ 1 im) (/ 1 im)) (+ (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re)))) (/ 1 re))) into (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2))) 11.131 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2))) in (im re) around 0 11.131 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2))) in re 11.132 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2)) in re 11.132 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 11.132 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.132 * [taylor]: Taking taylor expansion of re in re 11.132 * [backup-simplify]: Simplify 0 into 0 11.132 * [backup-simplify]: Simplify 1 into 1 11.132 * [backup-simplify]: Simplify (/ 1 1) into 1 11.132 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 11.132 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 11.132 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.132 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.132 * [taylor]: Taking taylor expansion of re in re 11.132 * [backup-simplify]: Simplify 0 into 0 11.132 * [backup-simplify]: Simplify 1 into 1 11.133 * [backup-simplify]: Simplify (* 1 1) into 1 11.133 * [backup-simplify]: Simplify (/ 1 1) into 1 11.133 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.133 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.133 * [taylor]: Taking taylor expansion of im in re 11.133 * [backup-simplify]: Simplify im into im 11.133 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.133 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.134 * [backup-simplify]: Simplify (+ 1 0) into 1 11.134 * [backup-simplify]: Simplify (sqrt 1) into 1 11.135 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.136 * [backup-simplify]: Simplify (+ 0 0) into 0 11.136 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.137 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.137 * [taylor]: Taking taylor expansion of im in re 11.137 * [backup-simplify]: Simplify im into im 11.137 * [backup-simplify]: Simplify (+ 1 1) into 2 11.137 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.137 * [backup-simplify]: Simplify (* 2 (pow im 2)) into (* 2 (pow im 2)) 11.137 * [backup-simplify]: Simplify (/ 1 (* 2 (pow im 2))) into (/ 1/2 (pow im 2)) 11.137 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2))) in im 11.137 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2)) in im 11.137 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 11.137 * [taylor]: Taking taylor expansion of (/ 1 re) in im 11.137 * [taylor]: Taking taylor expansion of re in im 11.137 * [backup-simplify]: Simplify re into re 11.137 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 11.137 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 11.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 11.138 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 11.138 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.138 * [taylor]: Taking taylor expansion of re in im 11.138 * [backup-simplify]: Simplify re into re 11.138 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.138 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 11.138 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.138 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.138 * [taylor]: Taking taylor expansion of im in im 11.138 * [backup-simplify]: Simplify 0 into 0 11.138 * [backup-simplify]: Simplify 1 into 1 11.138 * [backup-simplify]: Simplify (* 1 1) into 1 11.139 * [backup-simplify]: Simplify (/ 1 1) into 1 11.139 * [backup-simplify]: Simplify (+ 0 1) into 1 11.139 * [backup-simplify]: Simplify (sqrt 1) into 1 11.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.141 * [backup-simplify]: Simplify (+ 0 0) into 0 11.142 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.142 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.142 * [taylor]: Taking taylor expansion of im in im 11.142 * [backup-simplify]: Simplify 0 into 0 11.142 * [backup-simplify]: Simplify 1 into 1 11.142 * [backup-simplify]: Simplify (+ 0 1) into 1 11.143 * [backup-simplify]: Simplify (* 1 1) into 1 11.143 * [backup-simplify]: Simplify (* 1 1) into 1 11.143 * [backup-simplify]: Simplify (/ 1 1) into 1 11.144 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2))) in im 11.144 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2)) in im 11.144 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 11.144 * [taylor]: Taking taylor expansion of (/ 1 re) in im 11.144 * [taylor]: Taking taylor expansion of re in im 11.144 * [backup-simplify]: Simplify re into re 11.144 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 11.144 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 11.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 11.144 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 11.144 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.144 * [taylor]: Taking taylor expansion of re in im 11.144 * [backup-simplify]: Simplify re into re 11.144 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.144 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 11.144 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.144 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.144 * [taylor]: Taking taylor expansion of im in im 11.144 * [backup-simplify]: Simplify 0 into 0 11.144 * [backup-simplify]: Simplify 1 into 1 11.145 * [backup-simplify]: Simplify (* 1 1) into 1 11.145 * [backup-simplify]: Simplify (/ 1 1) into 1 11.145 * [backup-simplify]: Simplify (+ 0 1) into 1 11.146 * [backup-simplify]: Simplify (sqrt 1) into 1 11.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.147 * [backup-simplify]: Simplify (+ 0 0) into 0 11.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.148 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.148 * [taylor]: Taking taylor expansion of im in im 11.148 * [backup-simplify]: Simplify 0 into 0 11.148 * [backup-simplify]: Simplify 1 into 1 11.148 * [backup-simplify]: Simplify (+ 0 1) into 1 11.148 * [backup-simplify]: Simplify (* 1 1) into 1 11.149 * [backup-simplify]: Simplify (* 1 1) into 1 11.149 * [backup-simplify]: Simplify (/ 1 1) into 1 11.149 * [taylor]: Taking taylor expansion of 1 in re 11.149 * [backup-simplify]: Simplify 1 into 1 11.149 * [backup-simplify]: Simplify 0 into 0 11.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.150 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 11.150 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 re) 1)) into (/ 1 re) 11.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 11.150 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 11.150 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.150 * [taylor]: Taking taylor expansion of re in re 11.150 * [backup-simplify]: Simplify 0 into 0 11.150 * [backup-simplify]: Simplify 1 into 1 11.150 * [backup-simplify]: Simplify (/ 1 1) into 1 11.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.152 * [backup-simplify]: Simplify (- 0) into 0 11.152 * [backup-simplify]: Simplify 0 into 0 11.152 * [backup-simplify]: Simplify 0 into 0 11.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.152 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 11.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.153 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 11.154 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 11.154 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 11.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 re) 0) (* (* 1/2 (/ 1 (pow re 2))) 1))) into (* 1/2 (/ 1 (pow re 2))) 11.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 11.155 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 11.155 * [taylor]: Taking taylor expansion of 1/2 in re 11.155 * [backup-simplify]: Simplify 1/2 into 1/2 11.155 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.155 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.155 * [taylor]: Taking taylor expansion of re in re 11.155 * [backup-simplify]: Simplify 0 into 0 11.155 * [backup-simplify]: Simplify 1 into 1 11.155 * [backup-simplify]: Simplify (* 1 1) into 1 11.155 * [backup-simplify]: Simplify (/ 1 1) into 1 11.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.159 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.159 * [backup-simplify]: Simplify 0 into 0 11.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.160 * [backup-simplify]: Simplify (- 0) into 0 11.160 * [backup-simplify]: Simplify 0 into 0 11.160 * [backup-simplify]: Simplify 0 into 0 11.160 * [backup-simplify]: Simplify 0 into 0 11.160 * [backup-simplify]: Simplify (/ (* (/ 1 (- im)) (/ 1 (- im))) (+ (sqrt (+ (* (/ 1 (- im)) (/ 1 (- im))) (* (/ 1 (- re)) (/ 1 (- re))))) (/ 1 (- re)))) into (/ 1 (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) 11.160 * [approximate]: Taking taylor expansion of (/ 1 (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in (im re) around 0 11.160 * [taylor]: Taking taylor expansion of (/ 1 (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 11.160 * [taylor]: Taking taylor expansion of (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 11.160 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.160 * [taylor]: Taking taylor expansion of im in re 11.160 * [backup-simplify]: Simplify im into im 11.160 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 11.160 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 11.160 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 11.160 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.160 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.160 * [taylor]: Taking taylor expansion of re in re 11.160 * [backup-simplify]: Simplify 0 into 0 11.160 * [backup-simplify]: Simplify 1 into 1 11.161 * [backup-simplify]: Simplify (* 1 1) into 1 11.161 * [backup-simplify]: Simplify (/ 1 1) into 1 11.161 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.161 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.161 * [taylor]: Taking taylor expansion of im in re 11.161 * [backup-simplify]: Simplify im into im 11.161 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.161 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.161 * [backup-simplify]: Simplify (+ 1 0) into 1 11.162 * [backup-simplify]: Simplify (sqrt 1) into 1 11.162 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.163 * [backup-simplify]: Simplify (+ 0 0) into 0 11.163 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.163 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.163 * [taylor]: Taking taylor expansion of re in re 11.163 * [backup-simplify]: Simplify 0 into 0 11.163 * [backup-simplify]: Simplify 1 into 1 11.163 * [backup-simplify]: Simplify (/ 1 1) into 1 11.163 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.164 * [backup-simplify]: Simplify (- 1) into -1 11.164 * [backup-simplify]: Simplify (+ 1 -1) into 0 11.164 * [backup-simplify]: Simplify (* (pow im 2) 0) into 0 11.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.165 * [backup-simplify]: Simplify (- 0) into 0 11.165 * [backup-simplify]: Simplify (+ 0 0) into 0 11.165 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.165 * [backup-simplify]: Simplify (+ (* (pow im 2) 0) (* 0 0)) into 0 11.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.166 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 11.167 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 11.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.168 * [backup-simplify]: Simplify (- 0) into 0 11.168 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 11.168 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 11.169 * [backup-simplify]: Simplify (+ (* (pow im 2) (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 0))) into 1/2 11.169 * [backup-simplify]: Simplify (/ 1 1/2) into 2 11.169 * [taylor]: Taking taylor expansion of (/ 1 (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 11.169 * [taylor]: Taking taylor expansion of (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 11.169 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.169 * [taylor]: Taking taylor expansion of im in im 11.169 * [backup-simplify]: Simplify 0 into 0 11.169 * [backup-simplify]: Simplify 1 into 1 11.169 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 11.169 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 11.169 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 11.169 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 11.169 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.169 * [taylor]: Taking taylor expansion of re in im 11.169 * [backup-simplify]: Simplify re into re 11.169 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.169 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 11.169 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.169 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.169 * [taylor]: Taking taylor expansion of im in im 11.169 * [backup-simplify]: Simplify 0 into 0 11.169 * [backup-simplify]: Simplify 1 into 1 11.170 * [backup-simplify]: Simplify (* 1 1) into 1 11.170 * [backup-simplify]: Simplify (/ 1 1) into 1 11.170 * [backup-simplify]: Simplify (+ 0 1) into 1 11.170 * [backup-simplify]: Simplify (sqrt 1) into 1 11.171 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.172 * [backup-simplify]: Simplify (+ 0 0) into 0 11.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.172 * [taylor]: Taking taylor expansion of (/ 1 re) in im 11.172 * [taylor]: Taking taylor expansion of re in im 11.172 * [backup-simplify]: Simplify re into re 11.172 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 11.172 * [backup-simplify]: Simplify (* 1 1) into 1 11.173 * [backup-simplify]: Simplify (+ 1 0) into 1 11.173 * [backup-simplify]: Simplify (* 1 1) into 1 11.173 * [backup-simplify]: Simplify (/ 1 1) into 1 11.173 * [taylor]: Taking taylor expansion of (/ 1 (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 11.173 * [taylor]: Taking taylor expansion of (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 11.173 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.173 * [taylor]: Taking taylor expansion of im in im 11.173 * [backup-simplify]: Simplify 0 into 0 11.173 * [backup-simplify]: Simplify 1 into 1 11.173 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 11.173 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 11.173 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 11.173 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 11.173 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.173 * [taylor]: Taking taylor expansion of re in im 11.173 * [backup-simplify]: Simplify re into re 11.173 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.173 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 11.174 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.174 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.174 * [taylor]: Taking taylor expansion of im in im 11.174 * [backup-simplify]: Simplify 0 into 0 11.174 * [backup-simplify]: Simplify 1 into 1 11.174 * [backup-simplify]: Simplify (* 1 1) into 1 11.174 * [backup-simplify]: Simplify (/ 1 1) into 1 11.174 * [backup-simplify]: Simplify (+ 0 1) into 1 11.175 * [backup-simplify]: Simplify (sqrt 1) into 1 11.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.176 * [backup-simplify]: Simplify (+ 0 0) into 0 11.176 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.176 * [taylor]: Taking taylor expansion of (/ 1 re) in im 11.176 * [taylor]: Taking taylor expansion of re in im 11.176 * [backup-simplify]: Simplify re into re 11.176 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 11.176 * [backup-simplify]: Simplify (* 1 1) into 1 11.177 * [backup-simplify]: Simplify (+ 1 0) into 1 11.177 * [backup-simplify]: Simplify (* 1 1) into 1 11.177 * [backup-simplify]: Simplify (/ 1 1) into 1 11.177 * [taylor]: Taking taylor expansion of 1 in re 11.177 * [backup-simplify]: Simplify 1 into 1 11.177 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 11.177 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 11.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.178 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 re))) (* 0 1)) into (- (/ 1 re)) 11.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 11.178 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.178 * [taylor]: Taking taylor expansion of re in re 11.178 * [backup-simplify]: Simplify 0 into 0 11.178 * [backup-simplify]: Simplify 1 into 1 11.178 * [backup-simplify]: Simplify (/ 1 1) into 1 11.179 * [backup-simplify]: Simplify 1 into 1 11.179 * [backup-simplify]: Simplify 1 into 1 11.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.180 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 11.180 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 11.181 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 11.181 * [backup-simplify]: Simplify (- 0) into 0 11.181 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 11.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.182 * [backup-simplify]: Simplify (+ (* 1 (* 1/2 (/ 1 (pow re 2)))) (+ (* 0 (- (/ 1 re))) (* 0 1))) into (* 1/2 (/ 1 (pow re 2))) 11.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 11.182 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 11.182 * [taylor]: Taking taylor expansion of 1/2 in re 11.182 * [backup-simplify]: Simplify 1/2 into 1/2 11.182 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.182 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.182 * [taylor]: Taking taylor expansion of re in re 11.182 * [backup-simplify]: Simplify 0 into 0 11.182 * [backup-simplify]: Simplify 1 into 1 11.182 * [backup-simplify]: Simplify (* 1 1) into 1 11.183 * [backup-simplify]: Simplify (/ 1 1) into 1 11.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.184 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.184 * [backup-simplify]: Simplify 0 into 0 11.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.184 * [backup-simplify]: Simplify 0 into 0 11.184 * [backup-simplify]: Simplify 0 into 0 11.184 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 11.184 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 11.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.190 * [backup-simplify]: Simplify (+ 0 0) into 0 11.190 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0 11.190 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 11.190 * [backup-simplify]: Simplify (- 0) into 0 11.191 * [backup-simplify]: Simplify (+ 0 0) into 0 11.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (* 1/2 (/ 1 (pow re 2)))) (+ (* 0 (- (/ 1 re))) (* 0 1)))) into 0 11.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (/ 1 re) (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (* 1/2 (/ 1 (pow re 2))) (/ (- (/ 1 re)) 1)))) into 0 11.192 * [taylor]: Taking taylor expansion of 0 in re 11.192 * [backup-simplify]: Simplify 0 into 0 11.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.194 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 11.194 * [backup-simplify]: Simplify 0 into 0 11.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.195 * [backup-simplify]: Simplify 0 into 0 11.195 * [backup-simplify]: Simplify 0 into 0 11.195 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 (- im))))) (* 1 (* (/ 1 (/ 1 (- re))) 1))) into (- (+ re im)) 11.195 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 11.195 * [backup-simplify]: Simplify (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re)))) into (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))))) 11.195 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))))) in (im re) around 0 11.195 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))))) in re 11.195 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re 11.195 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 11.195 * [taylor]: Taking taylor expansion of 2.0 in re 11.195 * [backup-simplify]: Simplify 2.0 into 2.0 11.195 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.196 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.196 * [taylor]: Taking taylor expansion of im in re 11.196 * [backup-simplify]: Simplify im into im 11.196 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re 11.196 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re 11.196 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 11.196 * [taylor]: Taking taylor expansion of re in re 11.196 * [backup-simplify]: Simplify 0 into 0 11.196 * [backup-simplify]: Simplify 1 into 1 11.196 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 11.196 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 11.196 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.196 * [taylor]: Taking taylor expansion of im in re 11.196 * [backup-simplify]: Simplify im into im 11.196 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.196 * [taylor]: Taking taylor expansion of re in re 11.196 * [backup-simplify]: Simplify 0 into 0 11.196 * [backup-simplify]: Simplify 1 into 1 11.196 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.196 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 11.196 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 11.196 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.197 * [backup-simplify]: Simplify (+ 0 0) into 0 11.197 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 11.197 * [backup-simplify]: Simplify (+ 0 im) into im 11.197 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 11.197 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im)) 11.197 * [backup-simplify]: Simplify (+ 1 0) into 1 11.197 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 1 im)))) into (- (/ 1 (pow im 2))) 11.197 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2))) (* 2 (sqrt (/ 1 im)))) into (* -1/2 (sqrt (/ 1 (pow im 3)))) 11.197 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))))) in im 11.197 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 11.197 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 11.197 * [taylor]: Taking taylor expansion of 2.0 in im 11.197 * [backup-simplify]: Simplify 2.0 into 2.0 11.198 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.198 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.198 * [taylor]: Taking taylor expansion of im in im 11.198 * [backup-simplify]: Simplify 0 into 0 11.198 * [backup-simplify]: Simplify 1 into 1 11.198 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in im 11.198 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im 11.198 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 11.198 * [taylor]: Taking taylor expansion of re in im 11.198 * [backup-simplify]: Simplify re into re 11.198 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 11.198 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 11.198 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.198 * [taylor]: Taking taylor expansion of im in im 11.198 * [backup-simplify]: Simplify 0 into 0 11.198 * [backup-simplify]: Simplify 1 into 1 11.198 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.198 * [taylor]: Taking taylor expansion of re in im 11.198 * [backup-simplify]: Simplify re into re 11.198 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.198 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 11.198 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 11.198 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 11.199 * [backup-simplify]: Simplify (+ 0 0) into 0 11.199 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 11.199 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 11.199 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 11.199 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 11.199 * [backup-simplify]: Simplify (+ 0 0) into 0 11.199 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 11.199 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 11.199 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))))) in im 11.199 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 11.199 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 11.199 * [taylor]: Taking taylor expansion of 2.0 in im 11.199 * [backup-simplify]: Simplify 2.0 into 2.0 11.200 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.200 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.200 * [taylor]: Taking taylor expansion of im in im 11.200 * [backup-simplify]: Simplify 0 into 0 11.200 * [backup-simplify]: Simplify 1 into 1 11.200 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in im 11.200 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im 11.200 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 11.200 * [taylor]: Taking taylor expansion of re in im 11.200 * [backup-simplify]: Simplify re into re 11.200 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 11.200 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 11.200 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.200 * [taylor]: Taking taylor expansion of im in im 11.200 * [backup-simplify]: Simplify 0 into 0 11.200 * [backup-simplify]: Simplify 1 into 1 11.200 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.200 * [taylor]: Taking taylor expansion of re in im 11.200 * [backup-simplify]: Simplify re into re 11.200 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.200 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 11.200 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 11.201 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 11.201 * [backup-simplify]: Simplify (+ 0 0) into 0 11.201 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 11.201 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 11.201 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 11.201 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 11.201 * [backup-simplify]: Simplify (+ 0 0) into 0 11.201 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 11.201 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 11.202 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 11.202 * [backup-simplify]: Simplify (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2))) into 0 11.202 * [taylor]: Taking taylor expansion of 0 in re 11.202 * [backup-simplify]: Simplify 0 into 0 11.202 * [backup-simplify]: Simplify 0 into 0 11.203 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0) 11.204 * [backup-simplify]: Simplify (+ (* 0 0) (* (sqrt 2.0) (* (sqrt (/ 1 re)) (sqrt 1/2)))) into (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re))) 11.204 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re))) in re 11.204 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 1/2)) in re 11.204 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 11.204 * [taylor]: Taking taylor expansion of 2.0 in re 11.204 * [backup-simplify]: Simplify 2.0 into 2.0 11.204 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.205 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.205 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 11.205 * [taylor]: Taking taylor expansion of 1/2 in re 11.205 * [backup-simplify]: Simplify 1/2 into 1/2 11.205 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 11.206 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 11.206 * [taylor]: Taking taylor expansion of (sqrt (/ 1 re)) in re 11.206 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.206 * [taylor]: Taking taylor expansion of re in re 11.206 * [backup-simplify]: Simplify 0 into 0 11.206 * [backup-simplify]: Simplify 1 into 1 11.206 * [backup-simplify]: Simplify (/ 1 1) into 1 11.206 * [backup-simplify]: Simplify (sqrt 0) into 0 11.207 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.208 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 1/2)) into (* (sqrt 2.0) (sqrt 1/2)) 11.208 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 1/2))) into 0 11.211 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 11.213 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 11.213 * [backup-simplify]: Simplify 0 into 0 11.213 * [backup-simplify]: Simplify (* 1 1) into 1 11.214 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 11.214 * [backup-simplify]: Simplify (+ 1 0) into 1 11.215 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 11.215 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re)) 11.216 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ (* 1/2 (/ 1 re)) (* 2 re))) (* 0 (/ 0 (* 2 re))))) into (- (* 1/8 (/ 1 (pow re 3)))) 11.217 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow re 3)))) (pow 0 2) (+)) (* 2 (* (sqrt (/ 1 re)) (sqrt 1/2)))) into (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2)))) 11.218 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 11.219 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0 11.221 * [backup-simplify]: Simplify (+ (* 0 (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2))))) (+ (* (sqrt 2.0) 0) (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2))))) into 0 11.221 * [taylor]: Taking taylor expansion of 0 in re 11.221 * [backup-simplify]: Simplify 0 into 0 11.221 * [backup-simplify]: Simplify 0 into 0 11.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.226 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.227 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 11.228 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 11.229 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 11.233 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 11.237 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 11.237 * [backup-simplify]: Simplify 0 into 0 11.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.238 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 11.239 * [backup-simplify]: Simplify (+ 0 0) into 0 11.239 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 11.239 * [backup-simplify]: Simplify (+ 0 0) into 0 11.239 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))) (* 0 (/ (* 1/2 (/ 1 re)) (* 2 re))) (* (- (* 1/8 (/ 1 (pow re 3)))) (/ 0 (* 2 re))))) into 0 11.241 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2)))))))) (* 2 (* (sqrt (/ 1 re)) (sqrt 1/2)))) into 0 11.242 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 11.244 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 11.246 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (sqrt 2.0) (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2))))) (+ (* 0 0) (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2)))))) into (- (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) 11.246 * [taylor]: Taking taylor expansion of (- (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) in re 11.246 * [taylor]: Taking taylor expansion of (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5))))) in re 11.246 * [taylor]: Taking taylor expansion of 1/16 in re 11.246 * [backup-simplify]: Simplify 1/16 into 1/16 11.246 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))) in re 11.247 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 1/2)) in re 11.247 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 11.247 * [taylor]: Taking taylor expansion of 2.0 in re 11.247 * [backup-simplify]: Simplify 2.0 into 2.0 11.247 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.248 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.248 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 11.248 * [taylor]: Taking taylor expansion of 1/2 in re 11.248 * [backup-simplify]: Simplify 1/2 into 1/2 11.248 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 11.249 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 11.250 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt 1/2)) into (/ (sqrt 2.0) (sqrt 1/2)) 11.250 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 5))) in re 11.250 * [taylor]: Taking taylor expansion of (/ 1 (pow re 5)) in re 11.250 * [taylor]: Taking taylor expansion of (pow re 5) in re 11.250 * [taylor]: Taking taylor expansion of re in re 11.250 * [backup-simplify]: Simplify 0 into 0 11.250 * [backup-simplify]: Simplify 1 into 1 11.251 * [backup-simplify]: Simplify (* 1 1) into 1 11.251 * [backup-simplify]: Simplify (* 1 1) into 1 11.251 * [backup-simplify]: Simplify (* 1 1) into 1 11.252 * [backup-simplify]: Simplify (/ 1 1) into 1 11.252 * [backup-simplify]: Simplify (sqrt 0) into 0 11.254 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.257 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.258 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.263 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.267 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.268 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))))) into 0 11.269 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 11.271 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 11.272 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0 11.273 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 11.275 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 11.276 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0 11.281 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 11.286 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 11.289 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 11.290 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (sqrt 1/2)) 0) into 0 11.299 * [backup-simplify]: Simplify (+ (* 1/16 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) (* 0 0)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 11.303 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 11.306 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 11.322 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) (pow (* 1 im) 3)) (+ (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) (* re im)) (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) (* 1 im)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (* re (* im (sqrt 1/2))))) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 3)) (sqrt 1/2))) (- (* +nan.0 (* (sqrt 2.0) (* im (sqrt 1/2))))))))) 11.323 * [backup-simplify]: Simplify (sqrt (* 2.0 (/ (* (/ 1 im) (/ 1 im)) (+ (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re)))) (/ 1 re))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) 11.323 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in (im re) around 0 11.323 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in re 11.323 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 11.323 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 11.323 * [taylor]: Taking taylor expansion of 2.0 in re 11.323 * [backup-simplify]: Simplify 2.0 into 2.0 11.323 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.324 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.324 * [taylor]: Taking taylor expansion of im in re 11.324 * [backup-simplify]: Simplify im into im 11.324 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 11.324 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 11.324 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 11.325 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 11.325 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.325 * [taylor]: Taking taylor expansion of re in re 11.325 * [backup-simplify]: Simplify 0 into 0 11.325 * [backup-simplify]: Simplify 1 into 1 11.325 * [backup-simplify]: Simplify (/ 1 1) into 1 11.325 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 11.325 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 11.325 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.325 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.325 * [taylor]: Taking taylor expansion of re in re 11.325 * [backup-simplify]: Simplify 0 into 0 11.325 * [backup-simplify]: Simplify 1 into 1 11.325 * [backup-simplify]: Simplify (* 1 1) into 1 11.326 * [backup-simplify]: Simplify (/ 1 1) into 1 11.326 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.326 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.326 * [taylor]: Taking taylor expansion of im in re 11.326 * [backup-simplify]: Simplify im into im 11.326 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.326 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.327 * [backup-simplify]: Simplify (+ 1 0) into 1 11.327 * [backup-simplify]: Simplify (sqrt 1) into 1 11.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.329 * [backup-simplify]: Simplify (+ 0 0) into 0 11.329 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.330 * [backup-simplify]: Simplify (+ 1 1) into 2 11.330 * [backup-simplify]: Simplify (/ 1 2) into 1/2 11.331 * [backup-simplify]: Simplify (sqrt 0) into 0 11.332 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0 11.332 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in im 11.332 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 11.332 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 11.332 * [taylor]: Taking taylor expansion of 2.0 in im 11.332 * [backup-simplify]: Simplify 2.0 into 2.0 11.333 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.334 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.334 * [taylor]: Taking taylor expansion of im in im 11.334 * [backup-simplify]: Simplify 0 into 0 11.334 * [backup-simplify]: Simplify 1 into 1 11.335 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 11.335 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 11.335 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 11.335 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 11.335 * [taylor]: Taking taylor expansion of (/ 1 re) in im 11.335 * [taylor]: Taking taylor expansion of re in im 11.335 * [backup-simplify]: Simplify re into re 11.335 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 11.335 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 11.335 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 11.335 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 11.335 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.335 * [taylor]: Taking taylor expansion of re in im 11.335 * [backup-simplify]: Simplify re into re 11.335 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.335 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 11.335 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.335 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.335 * [taylor]: Taking taylor expansion of im in im 11.335 * [backup-simplify]: Simplify 0 into 0 11.335 * [backup-simplify]: Simplify 1 into 1 11.336 * [backup-simplify]: Simplify (* 1 1) into 1 11.336 * [backup-simplify]: Simplify (/ 1 1) into 1 11.337 * [backup-simplify]: Simplify (+ 0 1) into 1 11.337 * [backup-simplify]: Simplify (sqrt 1) into 1 11.338 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.339 * [backup-simplify]: Simplify (+ 0 0) into 0 11.339 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.340 * [backup-simplify]: Simplify (+ 0 1) into 1 11.340 * [backup-simplify]: Simplify (/ 1 1) into 1 11.341 * [backup-simplify]: Simplify (sqrt 0) into 0 11.342 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.342 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in im 11.342 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 11.342 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 11.342 * [taylor]: Taking taylor expansion of 2.0 in im 11.342 * [backup-simplify]: Simplify 2.0 into 2.0 11.343 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.343 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.344 * [taylor]: Taking taylor expansion of im in im 11.344 * [backup-simplify]: Simplify 0 into 0 11.344 * [backup-simplify]: Simplify 1 into 1 11.344 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 11.344 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 11.344 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 11.345 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 11.345 * [taylor]: Taking taylor expansion of (/ 1 re) in im 11.345 * [taylor]: Taking taylor expansion of re in im 11.345 * [backup-simplify]: Simplify re into re 11.345 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 11.345 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 11.345 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 11.345 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 11.345 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.345 * [taylor]: Taking taylor expansion of re in im 11.345 * [backup-simplify]: Simplify re into re 11.345 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.345 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 11.345 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.345 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.345 * [taylor]: Taking taylor expansion of im in im 11.345 * [backup-simplify]: Simplify 0 into 0 11.345 * [backup-simplify]: Simplify 1 into 1 11.345 * [backup-simplify]: Simplify (* 1 1) into 1 11.346 * [backup-simplify]: Simplify (/ 1 1) into 1 11.346 * [backup-simplify]: Simplify (+ 0 1) into 1 11.347 * [backup-simplify]: Simplify (sqrt 1) into 1 11.347 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.348 * [backup-simplify]: Simplify (+ 0 0) into 0 11.349 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.349 * [backup-simplify]: Simplify (+ 0 1) into 1 11.350 * [backup-simplify]: Simplify (/ 1 1) into 1 11.350 * [backup-simplify]: Simplify (sqrt 0) into 0 11.352 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.352 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 11.352 * [taylor]: Taking taylor expansion of 0 in re 11.352 * [backup-simplify]: Simplify 0 into 0 11.352 * [backup-simplify]: Simplify 0 into 0 11.353 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 11.355 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 11.355 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 11.356 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 11.356 * [taylor]: Taking taylor expansion of +nan.0 in re 11.356 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.356 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 11.356 * [taylor]: Taking taylor expansion of 2.0 in re 11.356 * [backup-simplify]: Simplify 2.0 into 2.0 11.356 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.357 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.358 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 11.359 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 11.361 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 11.361 * [backup-simplify]: Simplify 0 into 0 11.361 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 11.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 11.362 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0))) 11.363 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 11.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.365 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 11.365 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 11.365 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 11.365 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 11.365 * [taylor]: Taking taylor expansion of +nan.0 in re 11.365 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.365 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 11.365 * [taylor]: Taking taylor expansion of 2.0 in re 11.365 * [backup-simplify]: Simplify 2.0 into 2.0 11.366 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.366 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 11.366 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 11.366 * [taylor]: Taking taylor expansion of +nan.0 in re 11.366 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.366 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 11.366 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 11.366 * [taylor]: Taking taylor expansion of 2.0 in re 11.366 * [backup-simplify]: Simplify 2.0 into 2.0 11.367 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.367 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.367 * [taylor]: Taking taylor expansion of re in re 11.367 * [backup-simplify]: Simplify 0 into 0 11.367 * [backup-simplify]: Simplify 1 into 1 11.368 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 11.368 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 11.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 11.369 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 11.369 * [backup-simplify]: Simplify (- 0) into 0 11.370 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 11.372 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 11.373 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 11.373 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 11.373 * [backup-simplify]: Simplify (- 0) into 0 11.373 * [backup-simplify]: Simplify 0 into 0 11.373 * [backup-simplify]: Simplify 0 into 0 11.374 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 11.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.375 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 11.375 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 11.376 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 11.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 11.376 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 re) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 11.377 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 11.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.379 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 11.379 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) in re 11.379 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))) in re 11.379 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 11.379 * [taylor]: Taking taylor expansion of +nan.0 in re 11.379 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.379 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 11.379 * [taylor]: Taking taylor expansion of 2.0 in re 11.379 * [backup-simplify]: Simplify 2.0 into 2.0 11.379 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.380 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.380 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))) in re 11.380 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))) in re 11.380 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 11.380 * [taylor]: Taking taylor expansion of +nan.0 in re 11.380 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.380 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 11.380 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 11.380 * [taylor]: Taking taylor expansion of 2.0 in re 11.380 * [backup-simplify]: Simplify 2.0 into 2.0 11.380 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.381 * [taylor]: Taking taylor expansion of re in re 11.381 * [backup-simplify]: Simplify 0 into 0 11.381 * [backup-simplify]: Simplify 1 into 1 11.381 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 11.381 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))) in re 11.381 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 11.381 * [taylor]: Taking taylor expansion of +nan.0 in re 11.381 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.381 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 11.381 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 11.381 * [taylor]: Taking taylor expansion of 2.0 in re 11.382 * [backup-simplify]: Simplify 2.0 into 2.0 11.382 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.382 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.382 * [taylor]: Taking taylor expansion of re in re 11.382 * [backup-simplify]: Simplify 0 into 0 11.382 * [backup-simplify]: Simplify 1 into 1 11.382 * [backup-simplify]: Simplify (* 1 1) into 1 11.383 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 11.384 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 11.384 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 11.385 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 11.386 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 11.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.386 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 11.388 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.388 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 11.389 * [backup-simplify]: Simplify (- 0) into 0 11.389 * [backup-simplify]: Simplify (+ 0 0) into 0 11.389 * [backup-simplify]: Simplify (- 0) into 0 11.390 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 11.391 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 11.392 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 11.395 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 im)) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 im))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))))) 11.395 * [backup-simplify]: Simplify (sqrt (* 2.0 (/ (* (/ 1 (- im)) (/ 1 (- im))) (+ (sqrt (+ (* (/ 1 (- im)) (/ 1 (- im))) (* (/ 1 (- re)) (/ 1 (- re))))) (/ 1 (- re)))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) 11.395 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in (im re) around 0 11.395 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in re 11.395 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 11.395 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 11.395 * [taylor]: Taking taylor expansion of 2.0 in re 11.395 * [backup-simplify]: Simplify 2.0 into 2.0 11.396 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.397 * [taylor]: Taking taylor expansion of im in re 11.397 * [backup-simplify]: Simplify im into im 11.397 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 11.397 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 11.397 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 11.397 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 11.397 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 11.397 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 11.397 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.397 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.397 * [taylor]: Taking taylor expansion of re in re 11.397 * [backup-simplify]: Simplify 0 into 0 11.397 * [backup-simplify]: Simplify 1 into 1 11.398 * [backup-simplify]: Simplify (* 1 1) into 1 11.398 * [backup-simplify]: Simplify (/ 1 1) into 1 11.398 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.398 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.398 * [taylor]: Taking taylor expansion of im in re 11.398 * [backup-simplify]: Simplify im into im 11.398 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.398 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.399 * [backup-simplify]: Simplify (+ 1 0) into 1 11.399 * [backup-simplify]: Simplify (sqrt 1) into 1 11.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.401 * [backup-simplify]: Simplify (+ 0 0) into 0 11.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.402 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.402 * [taylor]: Taking taylor expansion of re in re 11.402 * [backup-simplify]: Simplify 0 into 0 11.402 * [backup-simplify]: Simplify 1 into 1 11.402 * [backup-simplify]: Simplify (/ 1 1) into 1 11.402 * [backup-simplify]: Simplify (- 1) into -1 11.403 * [backup-simplify]: Simplify (+ 1 -1) into 0 11.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.404 * [backup-simplify]: Simplify (- 0) into 0 11.404 * [backup-simplify]: Simplify (+ 0 0) into 0 11.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.406 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 11.407 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 11.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.409 * [backup-simplify]: Simplify (- 0) into 0 11.409 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 11.409 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2)) 11.409 * [backup-simplify]: Simplify (sqrt 0) into 0 11.410 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2)) 11.410 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im 11.410 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 11.410 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 11.410 * [taylor]: Taking taylor expansion of 2.0 in im 11.410 * [backup-simplify]: Simplify 2.0 into 2.0 11.410 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.411 * [taylor]: Taking taylor expansion of im in im 11.411 * [backup-simplify]: Simplify 0 into 0 11.411 * [backup-simplify]: Simplify 1 into 1 11.412 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 11.412 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 11.412 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 11.412 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 11.412 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 11.412 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 11.412 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 11.412 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.412 * [taylor]: Taking taylor expansion of re in im 11.412 * [backup-simplify]: Simplify re into re 11.413 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.413 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 11.413 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.413 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.413 * [taylor]: Taking taylor expansion of im in im 11.413 * [backup-simplify]: Simplify 0 into 0 11.413 * [backup-simplify]: Simplify 1 into 1 11.413 * [backup-simplify]: Simplify (* 1 1) into 1 11.413 * [backup-simplify]: Simplify (/ 1 1) into 1 11.414 * [backup-simplify]: Simplify (+ 0 1) into 1 11.414 * [backup-simplify]: Simplify (sqrt 1) into 1 11.415 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.416 * [backup-simplify]: Simplify (+ 0 0) into 0 11.417 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.417 * [taylor]: Taking taylor expansion of (/ 1 re) in im 11.417 * [taylor]: Taking taylor expansion of re in im 11.417 * [backup-simplify]: Simplify re into re 11.417 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 11.417 * [backup-simplify]: Simplify (+ 1 0) into 1 11.418 * [backup-simplify]: Simplify (/ 1 1) into 1 11.418 * [backup-simplify]: Simplify (sqrt 0) into 0 11.419 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.419 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im 11.420 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 11.420 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 11.420 * [taylor]: Taking taylor expansion of 2.0 in im 11.420 * [backup-simplify]: Simplify 2.0 into 2.0 11.420 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.421 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.421 * [taylor]: Taking taylor expansion of im in im 11.421 * [backup-simplify]: Simplify 0 into 0 11.421 * [backup-simplify]: Simplify 1 into 1 11.422 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 11.422 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 11.422 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 11.422 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 11.422 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 11.422 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 11.422 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 11.422 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.422 * [taylor]: Taking taylor expansion of re in im 11.422 * [backup-simplify]: Simplify re into re 11.422 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.422 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 11.422 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.422 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.422 * [taylor]: Taking taylor expansion of im in im 11.422 * [backup-simplify]: Simplify 0 into 0 11.422 * [backup-simplify]: Simplify 1 into 1 11.423 * [backup-simplify]: Simplify (* 1 1) into 1 11.423 * [backup-simplify]: Simplify (/ 1 1) into 1 11.424 * [backup-simplify]: Simplify (+ 0 1) into 1 11.424 * [backup-simplify]: Simplify (sqrt 1) into 1 11.425 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.426 * [backup-simplify]: Simplify (+ 0 0) into 0 11.427 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.427 * [taylor]: Taking taylor expansion of (/ 1 re) in im 11.427 * [taylor]: Taking taylor expansion of re in im 11.427 * [backup-simplify]: Simplify re into re 11.427 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 11.427 * [backup-simplify]: Simplify (+ 1 0) into 1 11.428 * [backup-simplify]: Simplify (/ 1 1) into 1 11.428 * [backup-simplify]: Simplify (sqrt 0) into 0 11.430 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.430 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 11.430 * [taylor]: Taking taylor expansion of 0 in re 11.430 * [backup-simplify]: Simplify 0 into 0 11.432 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 11.434 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 11.435 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 11.435 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 11.435 * [taylor]: Taking taylor expansion of +nan.0 in re 11.435 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.435 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 11.435 * [taylor]: Taking taylor expansion of 2.0 in re 11.435 * [backup-simplify]: Simplify 2.0 into 2.0 11.441 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.443 * [backup-simplify]: Simplify 0 into 0 11.443 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 11.443 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 11.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 11.444 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0)) 11.446 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 11.447 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.448 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 11.448 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 11.448 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 11.448 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 11.448 * [taylor]: Taking taylor expansion of +nan.0 in re 11.448 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.448 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 11.448 * [taylor]: Taking taylor expansion of 2.0 in re 11.448 * [backup-simplify]: Simplify 2.0 into 2.0 11.448 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.449 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.449 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 11.449 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 11.449 * [taylor]: Taking taylor expansion of +nan.0 in re 11.449 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.449 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 11.449 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 11.449 * [taylor]: Taking taylor expansion of 2.0 in re 11.449 * [backup-simplify]: Simplify 2.0 into 2.0 11.449 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.450 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.450 * [taylor]: Taking taylor expansion of re in re 11.450 * [backup-simplify]: Simplify 0 into 0 11.450 * [backup-simplify]: Simplify 1 into 1 11.450 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 11.451 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 11.452 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 11.453 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 11.454 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 11.455 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 11.456 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 11.457 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 11.458 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 11.458 * [backup-simplify]: Simplify 0 into 0 11.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.459 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 11.460 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 11.460 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 11.460 * [backup-simplify]: Simplify (- 0) into 0 11.460 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 11.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 11.461 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 re) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 11.462 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 11.462 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.463 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 11.464 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) in re 11.464 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))) in re 11.464 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 11.464 * [taylor]: Taking taylor expansion of +nan.0 in re 11.464 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.464 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 11.464 * [taylor]: Taking taylor expansion of 2.0 in re 11.464 * [backup-simplify]: Simplify 2.0 into 2.0 11.464 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.464 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.464 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))) in re 11.464 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))) in re 11.464 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 11.464 * [taylor]: Taking taylor expansion of +nan.0 in re 11.464 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.464 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 11.465 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 11.465 * [taylor]: Taking taylor expansion of 2.0 in re 11.465 * [backup-simplify]: Simplify 2.0 into 2.0 11.465 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.465 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.465 * [taylor]: Taking taylor expansion of re in re 11.465 * [backup-simplify]: Simplify 0 into 0 11.465 * [backup-simplify]: Simplify 1 into 1 11.466 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 11.466 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))) in re 11.466 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 11.466 * [taylor]: Taking taylor expansion of +nan.0 in re 11.466 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.466 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 11.466 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 11.466 * [taylor]: Taking taylor expansion of 2.0 in re 11.466 * [backup-simplify]: Simplify 2.0 into 2.0 11.466 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.467 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.467 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.467 * [taylor]: Taking taylor expansion of re in re 11.467 * [backup-simplify]: Simplify 0 into 0 11.467 * [backup-simplify]: Simplify 1 into 1 11.467 * [backup-simplify]: Simplify (* 1 1) into 1 11.468 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 11.468 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 11.469 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.469 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 11.470 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 11.470 * [backup-simplify]: Simplify (- 0) into 0 11.471 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 11.472 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 11.474 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 11.475 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 11.476 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 11.479 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 (- re))) (pow (/ 1 (- im)) 2))) (+ (- (* +nan.0 (sqrt 2.0))) (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 (- re))) (/ 1 (- im)))))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2))) (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (* (sqrt 2.0) re) im))))))) 11.479 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2) 11.479 * [backup-simplify]: Simplify (+ (sqrt (+ (* im im) (* re re))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2)))) 11.479 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (im re) around 0 11.479 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 11.479 * [taylor]: Taking taylor expansion of re in re 11.479 * [backup-simplify]: Simplify 0 into 0 11.479 * [backup-simplify]: Simplify 1 into 1 11.479 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 11.479 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 11.479 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.479 * [taylor]: Taking taylor expansion of im in re 11.479 * [backup-simplify]: Simplify im into im 11.479 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.479 * [taylor]: Taking taylor expansion of re in re 11.479 * [backup-simplify]: Simplify 0 into 0 11.479 * [backup-simplify]: Simplify 1 into 1 11.479 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.479 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 11.479 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 11.479 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.480 * [backup-simplify]: Simplify (+ 0 0) into 0 11.480 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 11.480 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 11.480 * [taylor]: Taking taylor expansion of re in im 11.480 * [backup-simplify]: Simplify re into re 11.480 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 11.480 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 11.480 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.480 * [taylor]: Taking taylor expansion of im in im 11.480 * [backup-simplify]: Simplify 0 into 0 11.480 * [backup-simplify]: Simplify 1 into 1 11.480 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.480 * [taylor]: Taking taylor expansion of re in im 11.480 * [backup-simplify]: Simplify re into re 11.480 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.480 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 11.480 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 11.480 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 11.480 * [backup-simplify]: Simplify (+ 0 0) into 0 11.480 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 11.480 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 11.481 * [taylor]: Taking taylor expansion of re in im 11.481 * [backup-simplify]: Simplify re into re 11.481 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 11.481 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 11.481 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.481 * [taylor]: Taking taylor expansion of im in im 11.481 * [backup-simplify]: Simplify 0 into 0 11.481 * [backup-simplify]: Simplify 1 into 1 11.481 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.481 * [taylor]: Taking taylor expansion of re in im 11.481 * [backup-simplify]: Simplify re into re 11.481 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.481 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 11.481 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 11.481 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 11.481 * [backup-simplify]: Simplify (+ 0 0) into 0 11.481 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 11.481 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 11.481 * [taylor]: Taking taylor expansion of (* 2 re) in re 11.481 * [taylor]: Taking taylor expansion of 2 in re 11.481 * [backup-simplify]: Simplify 2 into 2 11.481 * [taylor]: Taking taylor expansion of re in re 11.481 * [backup-simplify]: Simplify 0 into 0 11.481 * [backup-simplify]: Simplify 1 into 1 11.482 * [backup-simplify]: Simplify (* 2 0) into 0 11.482 * [backup-simplify]: Simplify 0 into 0 11.482 * [backup-simplify]: Simplify (+ 0 0) into 0 11.482 * [taylor]: Taking taylor expansion of 0 in re 11.482 * [backup-simplify]: Simplify 0 into 0 11.482 * [backup-simplify]: Simplify 0 into 0 11.482 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 11.482 * [backup-simplify]: Simplify 2 into 2 11.483 * [backup-simplify]: Simplify (* 1 1) into 1 11.483 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 11.483 * [backup-simplify]: Simplify (+ 1 0) into 1 11.484 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 11.484 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re)) 11.484 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 re)) in re 11.484 * [taylor]: Taking taylor expansion of 1/2 in re 11.484 * [backup-simplify]: Simplify 1/2 into 1/2 11.484 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.484 * [taylor]: Taking taylor expansion of re in re 11.484 * [backup-simplify]: Simplify 0 into 0 11.484 * [backup-simplify]: Simplify 1 into 1 11.484 * [backup-simplify]: Simplify (/ 1 1) into 1 11.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.485 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.485 * [backup-simplify]: Simplify 0 into 0 11.485 * [backup-simplify]: Simplify 0 into 0 11.486 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 11.486 * [backup-simplify]: Simplify 0 into 0 11.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.487 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 11.487 * [backup-simplify]: Simplify (+ 0 0) into 0 11.487 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 11.487 * [backup-simplify]: Simplify (+ 0 0) into 0 11.487 * [taylor]: Taking taylor expansion of 0 in re 11.487 * [backup-simplify]: Simplify 0 into 0 11.487 * [backup-simplify]: Simplify 0 into 0 11.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.489 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 11.489 * [backup-simplify]: Simplify 0 into 0 11.489 * [backup-simplify]: Simplify 0 into 0 11.489 * [backup-simplify]: Simplify (* 2 (* re 1)) into (* 2 re) 11.489 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re)))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) 11.489 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (im re) around 0 11.489 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 11.489 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.489 * [taylor]: Taking taylor expansion of re in re 11.489 * [backup-simplify]: Simplify 0 into 0 11.489 * [backup-simplify]: Simplify 1 into 1 11.489 * [backup-simplify]: Simplify (/ 1 1) into 1 11.489 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 11.489 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 11.489 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.489 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.489 * [taylor]: Taking taylor expansion of re in re 11.489 * [backup-simplify]: Simplify 0 into 0 11.489 * [backup-simplify]: Simplify 1 into 1 11.490 * [backup-simplify]: Simplify (* 1 1) into 1 11.490 * [backup-simplify]: Simplify (/ 1 1) into 1 11.490 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.490 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.490 * [taylor]: Taking taylor expansion of im in re 11.490 * [backup-simplify]: Simplify im into im 11.490 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.490 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.490 * [backup-simplify]: Simplify (+ 1 0) into 1 11.491 * [backup-simplify]: Simplify (sqrt 1) into 1 11.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.492 * [backup-simplify]: Simplify (+ 0 0) into 0 11.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.493 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 11.493 * [taylor]: Taking taylor expansion of (/ 1 re) in im 11.493 * [taylor]: Taking taylor expansion of re in im 11.493 * [backup-simplify]: Simplify re into re 11.493 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 11.493 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 11.493 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 11.493 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 11.493 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.493 * [taylor]: Taking taylor expansion of re in im 11.493 * [backup-simplify]: Simplify re into re 11.493 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.493 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 11.493 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.493 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.493 * [taylor]: Taking taylor expansion of im in im 11.493 * [backup-simplify]: Simplify 0 into 0 11.493 * [backup-simplify]: Simplify 1 into 1 11.494 * [backup-simplify]: Simplify (* 1 1) into 1 11.494 * [backup-simplify]: Simplify (/ 1 1) into 1 11.495 * [backup-simplify]: Simplify (+ 0 1) into 1 11.495 * [backup-simplify]: Simplify (sqrt 1) into 1 11.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.497 * [backup-simplify]: Simplify (+ 0 0) into 0 11.497 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.498 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 11.498 * [taylor]: Taking taylor expansion of (/ 1 re) in im 11.498 * [taylor]: Taking taylor expansion of re in im 11.498 * [backup-simplify]: Simplify re into re 11.498 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 11.498 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 11.498 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 11.498 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 11.498 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.498 * [taylor]: Taking taylor expansion of re in im 11.498 * [backup-simplify]: Simplify re into re 11.498 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.498 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 11.498 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.498 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.498 * [taylor]: Taking taylor expansion of im in im 11.498 * [backup-simplify]: Simplify 0 into 0 11.498 * [backup-simplify]: Simplify 1 into 1 11.499 * [backup-simplify]: Simplify (* 1 1) into 1 11.499 * [backup-simplify]: Simplify (/ 1 1) into 1 11.499 * [backup-simplify]: Simplify (+ 0 1) into 1 11.500 * [backup-simplify]: Simplify (sqrt 1) into 1 11.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.501 * [backup-simplify]: Simplify (+ 0 0) into 0 11.502 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.503 * [backup-simplify]: Simplify (+ 0 1) into 1 11.503 * [taylor]: Taking taylor expansion of 1 in re 11.503 * [backup-simplify]: Simplify 1 into 1 11.503 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 11.503 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.503 * [taylor]: Taking taylor expansion of re in re 11.503 * [backup-simplify]: Simplify 0 into 0 11.503 * [backup-simplify]: Simplify 1 into 1 11.503 * [backup-simplify]: Simplify (/ 1 1) into 1 11.503 * [backup-simplify]: Simplify 1 into 1 11.503 * [backup-simplify]: Simplify 1 into 1 11.504 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 11.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.506 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 11.507 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 11.507 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 11.507 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 11.507 * [taylor]: Taking taylor expansion of 1/2 in re 11.507 * [backup-simplify]: Simplify 1/2 into 1/2 11.507 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.507 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.507 * [taylor]: Taking taylor expansion of re in re 11.507 * [backup-simplify]: Simplify 0 into 0 11.507 * [backup-simplify]: Simplify 1 into 1 11.507 * [backup-simplify]: Simplify (* 1 1) into 1 11.508 * [backup-simplify]: Simplify (/ 1 1) into 1 11.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.510 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.510 * [backup-simplify]: Simplify 0 into 0 11.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.511 * [backup-simplify]: Simplify 0 into 0 11.511 * [backup-simplify]: Simplify 0 into 0 11.511 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 11.511 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 11.511 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 11.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.514 * [backup-simplify]: Simplify (+ 0 0) into 0 11.514 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0 11.515 * [backup-simplify]: Simplify (+ 0 0) into 0 11.515 * [taylor]: Taking taylor expansion of 0 in re 11.515 * [backup-simplify]: Simplify 0 into 0 11.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.518 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 11.518 * [backup-simplify]: Simplify 0 into 0 11.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.519 * [backup-simplify]: Simplify 0 into 0 11.519 * [backup-simplify]: Simplify 0 into 0 11.519 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 im)))) (* 1 (* (/ 1 (/ 1 re)) 1))) into (+ re im) 11.519 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 (- im)) (/ 1 (- im))) (* (/ 1 (- re)) (/ 1 (- re))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) 11.519 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (im re) around 0 11.519 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 11.519 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 11.519 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 11.519 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.519 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.519 * [taylor]: Taking taylor expansion of re in re 11.519 * [backup-simplify]: Simplify 0 into 0 11.519 * [backup-simplify]: Simplify 1 into 1 11.520 * [backup-simplify]: Simplify (* 1 1) into 1 11.520 * [backup-simplify]: Simplify (/ 1 1) into 1 11.520 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.520 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.520 * [taylor]: Taking taylor expansion of im in re 11.520 * [backup-simplify]: Simplify im into im 11.520 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.520 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.521 * [backup-simplify]: Simplify (+ 1 0) into 1 11.521 * [backup-simplify]: Simplify (sqrt 1) into 1 11.522 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.523 * [backup-simplify]: Simplify (+ 0 0) into 0 11.524 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.524 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.524 * [taylor]: Taking taylor expansion of re in re 11.524 * [backup-simplify]: Simplify 0 into 0 11.524 * [backup-simplify]: Simplify 1 into 1 11.524 * [backup-simplify]: Simplify (/ 1 1) into 1 11.524 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 11.524 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 11.524 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 11.524 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 11.524 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.524 * [taylor]: Taking taylor expansion of re in im 11.524 * [backup-simplify]: Simplify re into re 11.524 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.524 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 11.525 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.525 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.525 * [taylor]: Taking taylor expansion of im in im 11.525 * [backup-simplify]: Simplify 0 into 0 11.525 * [backup-simplify]: Simplify 1 into 1 11.525 * [backup-simplify]: Simplify (* 1 1) into 1 11.525 * [backup-simplify]: Simplify (/ 1 1) into 1 11.526 * [backup-simplify]: Simplify (+ 0 1) into 1 11.526 * [backup-simplify]: Simplify (sqrt 1) into 1 11.527 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.528 * [backup-simplify]: Simplify (+ 0 0) into 0 11.528 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.528 * [taylor]: Taking taylor expansion of (/ 1 re) in im 11.528 * [taylor]: Taking taylor expansion of re in im 11.528 * [backup-simplify]: Simplify re into re 11.528 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 11.528 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 11.528 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 11.528 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 11.528 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 11.528 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.528 * [taylor]: Taking taylor expansion of re in im 11.528 * [backup-simplify]: Simplify re into re 11.528 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.529 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 11.529 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.529 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.529 * [taylor]: Taking taylor expansion of im in im 11.529 * [backup-simplify]: Simplify 0 into 0 11.529 * [backup-simplify]: Simplify 1 into 1 11.529 * [backup-simplify]: Simplify (* 1 1) into 1 11.529 * [backup-simplify]: Simplify (/ 1 1) into 1 11.529 * [backup-simplify]: Simplify (+ 0 1) into 1 11.530 * [backup-simplify]: Simplify (sqrt 1) into 1 11.530 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.531 * [backup-simplify]: Simplify (+ 0 0) into 0 11.531 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.531 * [taylor]: Taking taylor expansion of (/ 1 re) in im 11.531 * [taylor]: Taking taylor expansion of re in im 11.531 * [backup-simplify]: Simplify re into re 11.531 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 11.532 * [backup-simplify]: Simplify (+ 1 0) into 1 11.532 * [taylor]: Taking taylor expansion of 1 in re 11.532 * [backup-simplify]: Simplify 1 into 1 11.532 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 11.532 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 11.532 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 11.532 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.532 * [taylor]: Taking taylor expansion of re in re 11.532 * [backup-simplify]: Simplify 0 into 0 11.532 * [backup-simplify]: Simplify 1 into 1 11.532 * [backup-simplify]: Simplify (/ 1 1) into 1 11.532 * [backup-simplify]: Simplify (- 1) into -1 11.532 * [backup-simplify]: Simplify -1 into -1 11.532 * [backup-simplify]: Simplify 1 into 1 11.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.534 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 11.534 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 11.534 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 11.535 * [backup-simplify]: Simplify (- 0) into 0 11.535 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 11.535 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 11.535 * [taylor]: Taking taylor expansion of 1/2 in re 11.535 * [backup-simplify]: Simplify 1/2 into 1/2 11.535 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.535 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.535 * [taylor]: Taking taylor expansion of re in re 11.535 * [backup-simplify]: Simplify 0 into 0 11.535 * [backup-simplify]: Simplify 1 into 1 11.535 * [backup-simplify]: Simplify (* 1 1) into 1 11.535 * [backup-simplify]: Simplify (/ 1 1) into 1 11.536 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.537 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.537 * [backup-simplify]: Simplify 0 into 0 11.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.537 * [backup-simplify]: Simplify (- 0) into 0 11.537 * [backup-simplify]: Simplify 0 into 0 11.537 * [backup-simplify]: Simplify 0 into 0 11.538 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 11.538 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 11.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.539 * [backup-simplify]: Simplify (+ 0 0) into 0 11.539 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0 11.539 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 11.540 * [backup-simplify]: Simplify (- 0) into 0 11.540 * [backup-simplify]: Simplify (+ 0 0) into 0 11.540 * [taylor]: Taking taylor expansion of 0 in re 11.540 * [backup-simplify]: Simplify 0 into 0 11.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.542 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 11.542 * [backup-simplify]: Simplify 0 into 0 11.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.543 * [backup-simplify]: Simplify (- 0) into 0 11.543 * [backup-simplify]: Simplify 0 into 0 11.543 * [backup-simplify]: Simplify 0 into 0 11.543 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 (- im))))) (* -1 (* (/ 1 (/ 1 (- re))) 1))) into (- re im) 11.543 * * * [progress]: simplifying candidates 11.543 * * * * [progress]: [ 1 / 80 ] simplifiying candidate # 11.543 * * * * [progress]: [ 2 / 80 ] simplifiying candidate # 11.543 * * * * [progress]: [ 3 / 80 ] simplifiying candidate # 11.543 * * * * [progress]: [ 4 / 80 ] simplifiying candidate # 11.543 * * * * [progress]: [ 5 / 80 ] simplifiying candidate # 11.543 * * * * [progress]: [ 6 / 80 ] simplifiying candidate # 11.543 * * * * [progress]: [ 7 / 80 ] simplifiying candidate # 11.543 * * * * [progress]: [ 8 / 80 ] simplifiying candidate # 11.543 * * * * [progress]: [ 9 / 80 ] simplifiying candidate # 11.543 * * * * [progress]: [ 10 / 80 ] simplifiying candidate # 11.543 * * * * [progress]: [ 11 / 80 ] simplifiying candidate # 11.543 * * * * [progress]: [ 12 / 80 ] simplifiying candidate # 11.543 * * * * [progress]: [ 13 / 80 ] simplifiying candidate # 11.544 * * * * [progress]: [ 14 / 80 ] simplifiying candidate # 11.544 * * * * [progress]: [ 15 / 80 ] simplifiying candidate # 11.544 * * * * [progress]: [ 16 / 80 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* im im) (* re re))))) re))))))> 11.544 * * * * [progress]: [ 17 / 80 ] simplifiying candidate # 11.544 * * * * [progress]: [ 18 / 80 ] simplifiying candidate # 11.544 * * * * [progress]: [ 19 / 80 ] simplifiying candidate # 11.544 * * * * [progress]: [ 20 / 80 ] simplifiying candidate # 11.544 * * * * [progress]: [ 21 / 80 ] simplifiying candidate # 11.544 * * * * [progress]: [ 22 / 80 ] simplifiying candidate # 11.544 * * * * [progress]: [ 23 / 80 ] simplifiying candidate # 11.544 * * * * [progress]: [ 24 / 80 ] simplifiying candidate # 11.544 * * * * [progress]: [ 25 / 80 ] simplifiying candidate # 11.544 * * * * [progress]: [ 26 / 80 ] simplifiying candidate # 11.544 * * * * [progress]: [ 27 / 80 ] simplifiying candidate # 11.544 * * * * [progress]: [ 28 / 80 ] simplifiying candidate # 11.544 * * * * [progress]: [ 29 / 80 ] simplifiying candidate # 11.544 * * * * [progress]: [ 30 / 80 ] simplifiying candidate # 11.544 * * * * [progress]: [ 31 / 80 ] simplifiying candidate # 11.544 * * * * [progress]: [ 32 / 80 ] simplifiying candidate # 11.544 * * * * [progress]: [ 33 / 80 ] simplifiying candidate # 11.544 * * * * [progress]: [ 34 / 80 ] simplifiying candidate # 11.544 * * * * [progress]: [ 35 / 80 ] simplifiying candidate # 11.545 * * * * [progress]: [ 36 / 80 ] simplifiying candidate # 11.545 * * * * [progress]: [ 37 / 80 ] simplifiying candidate # 11.545 * * * * [progress]: [ 38 / 80 ] simplifiying candidate # 11.545 * * * * [progress]: [ 39 / 80 ] simplifiying candidate # 11.545 * * * * [progress]: [ 40 / 80 ] simplifiying candidate # 11.545 * * * * [progress]: [ 41 / 80 ] simplifiying candidate # 11.545 * * * * [progress]: [ 42 / 80 ] simplifiying candidate #real (real->posit16 (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))))))))> 11.545 * * * * [progress]: [ 43 / 80 ] simplifiying candidate # 11.545 * * * * [progress]: [ 44 / 80 ] simplifiying candidate # 11.545 * * * * [progress]: [ 45 / 80 ] simplifiying candidate # 11.545 * * * * [progress]: [ 46 / 80 ] simplifiying candidate # 11.545 * * * * [progress]: [ 47 / 80 ] simplifiying candidate # 11.545 * * * * [progress]: [ 48 / 80 ] simplifiying candidate # 11.545 * * * * [progress]: [ 49 / 80 ] simplifiying candidate # 11.545 * * * * [progress]: [ 50 / 80 ] simplifiying candidate # 11.545 * * * * [progress]: [ 51 / 80 ] simplifiying candidate # 11.545 * * * * [progress]: [ 52 / 80 ] simplifiying candidate # 11.545 * * * * [progress]: [ 53 / 80 ] simplifiying candidate # 11.545 * * * * [progress]: [ 54 / 80 ] simplifiying candidate # 11.545 * * * * [progress]: [ 55 / 80 ] simplifiying candidate #real (real->posit16 (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))))))))> 11.545 * * * * [progress]: [ 56 / 80 ] simplifiying candidate # 11.545 * * * * [progress]: [ 57 / 80 ] simplifiying candidate # 11.545 * * * * [progress]: [ 58 / 80 ] simplifiying candidate # 11.545 * * * * [progress]: [ 59 / 80 ] simplifiying candidate # 11.546 * * * * [progress]: [ 60 / 80 ] simplifiying candidate # 11.546 * * * * [progress]: [ 61 / 80 ] simplifiying candidate # 11.546 * * * * [progress]: [ 62 / 80 ] simplifiying candidate # 11.546 * * * * [progress]: [ 63 / 80 ] simplifiying candidate # 11.546 * * * * [progress]: [ 64 / 80 ] simplifiying candidate # 11.546 * * * * [progress]: [ 65 / 80 ] simplifiying candidate # 11.546 * * * * [progress]: [ 66 / 80 ] simplifiying candidate # 11.546 * * * * [progress]: [ 67 / 80 ] simplifiying candidate #real (real->posit16 (+ (sqrt (+ (* im im) (* re re))) re))))))))> 11.546 * * * * [progress]: [ 68 / 80 ] simplifiying candidate # 11.546 * * * * [progress]: [ 69 / 80 ] simplifiying candidate # 11.546 * * * * [progress]: [ 70 / 80 ] simplifiying candidate # 11.546 * * * * [progress]: [ 71 / 80 ] simplifiying candidate # 11.546 * * * * [progress]: [ 72 / 80 ] simplifiying candidate # 11.546 * * * * [progress]: [ 73 / 80 ] simplifiying candidate # 11.546 * * * * [progress]: [ 74 / 80 ] simplifiying candidate # 11.546 * * * * [progress]: [ 75 / 80 ] simplifiying candidate # 11.546 * * * * [progress]: [ 76 / 80 ] simplifiying candidate # 11.546 * * * * [progress]: [ 77 / 80 ] simplifiying candidate # 11.546 * * * * [progress]: [ 78 / 80 ] simplifiying candidate # 11.546 * * * * [progress]: [ 79 / 80 ] simplifiying candidate # 11.546 * * * * [progress]: [ 80 / 80 ] simplifiying candidate # 11.551 * [simplify]: Simplifying: (log (sqrt (+ (* im im) (* re re)))) (exp (sqrt (+ (* im im) (* re re)))) (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re)))) (* (* (sqrt (+ (* im im) (* re re))) (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re)))) (sqrt (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (* im im) (* re re))))) (sqrt (cbrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt 1) (sqrt (+ (* im im) (* re re))) (sqrt (+ (pow (* im im) 3) (pow (* re re) 3))) (sqrt (+ (* (* im im) (* im im)) (- (* (* re re) (* re re)) (* (* im im) (* re re))))) (sqrt (- (* (* im im) (* im im)) (* (* re re) (* re re)))) (sqrt (- (* im im) (* re re))) (/ 1 2) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (real->posit16 (sqrt (+ (* im im) (* re re)))) (- (+ (log im) (log im)) (log (+ (sqrt (+ (* im im) (* re re))) re))) (- (log (* im im)) (log (+ (sqrt (+ (* im im) (* re re))) re))) (log (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))) (exp (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))) (/ (* (* (* im im) im) (* (* im im) im)) (* (* (+ (sqrt (+ (* im im) (* re re))) re) (+ (sqrt (+ (* im im) (* re re))) re)) (+ (sqrt (+ (* im im) (* re re))) re))) (/ (* (* (* im im) (* im im)) (* im im)) (* (* (+ (sqrt (+ (* im im) (* re re))) re) (+ (sqrt (+ (* im im) (* re re))) re)) (+ (sqrt (+ (* im im) (* re re))) re))) (* (cbrt (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))) (cbrt (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re)))) (cbrt (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))) (* (* (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re)) (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))) (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))) (sqrt (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))) (sqrt (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))) (- (* im im)) (- (+ (sqrt (+ (* im im) (* re re))) re)) (/ im (* (cbrt (+ (sqrt (+ (* im im) (* re re))) re)) (cbrt (+ (sqrt (+ (* im im) (* re re))) re)))) (/ im (cbrt (+ (sqrt (+ (* im im) (* re re))) re))) (/ im (sqrt (+ (sqrt (+ (* im im) (* re re))) re))) (/ im (sqrt (+ (sqrt (+ (* im im) (* re re))) re))) (/ im 1) (/ im (+ (sqrt (+ (* im im) (* re re))) re)) (/ im 1) (/ im (+ (sqrt (+ (* im im) (* re re))) re)) (/ 1 (+ (sqrt (+ (* im im) (* re re))) re)) (/ (+ (sqrt (+ (* im im) (* re re))) re) (* im im)) (/ (* im im) (* (cbrt (+ (sqrt (+ (* im im) (* re re))) re)) (cbrt (+ (sqrt (+ (* im im) (* re re))) re)))) (/ (* im im) (sqrt (+ (sqrt (+ (* im im) (* re re))) re))) (/ (* im im) 1) (/ (* im im) 1) (/ (+ (sqrt (+ (* im im) (* re re))) re) im) (/ (* im im) (+ (pow (sqrt (+ (* im im) (* re re))) 3) (pow re 3))) (/ (* im im) (- (* (sqrt (+ (* im im) (* re re))) (sqrt (+ (* im im) (* re re)))) (* re re))) (real->posit16 (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))) (log (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))))) (exp (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))))) (* (cbrt (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))))) (cbrt (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re)))))) (cbrt (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))))) (* (* (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re)))) (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))))) (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))))) (sqrt 2.0) (sqrt (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))) (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))))) (sqrt (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))))) (real->posit16 (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))))) (* (exp (sqrt (+ (* im im) (* re re)))) (exp re)) (log (+ (sqrt (+ (* im im) (* re re))) re)) (exp (+ (sqrt (+ (* im im) (* re re))) re)) (* (cbrt (+ (sqrt (+ (* im im) (* re re))) re)) (cbrt (+ (sqrt (+ (* im im) (* re re))) re))) (cbrt (+ (sqrt (+ (* im im) (* re re))) re)) (* (* (+ (sqrt (+ (* im im) (* re re))) re) (+ (sqrt (+ (* im im) (* re re))) re)) (+ (sqrt (+ (* im im) (* re re))) re)) (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (+ (pow (sqrt (+ (* im im) (* re re))) 3) (pow re 3)) (+ (* (sqrt (+ (* im im) (* re re))) (sqrt (+ (* im im) (* re re)))) (- (* re re) (* (sqrt (+ (* im im) (* re re))) re))) (- (* (sqrt (+ (* im im) (* re re))) (sqrt (+ (* im im) (* re re)))) (* re re)) (- (sqrt (+ (* im im) (* re re))) re) (+ (sqrt (+ (* im im) (* re re))) re) (real->posit16 (+ (sqrt (+ (* im im) (* re re))) re)) re im (* -1 im) 0 0 (- (+ re im)) (- (+ (* +nan.0 (* (sqrt 2.0) (* re (* im (sqrt 1/2))))) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 3)) (sqrt 1/2))) (- (* +nan.0 (* (sqrt 2.0) (* im (sqrt 1/2))))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))))) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2))) (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (* (sqrt 2.0) re) im))))))) (* 2 re) (+ re im) (- re im) 11.553 * * [simplify]: iteration 0: 150 enodes 11.606 * * [simplify]: iteration 1: 408 enodes 11.793 * * [simplify]: iteration 2: 1409 enodes 12.339 * * [simplify]: iteration complete: 5000 enodes 12.339 * * [simplify]: Extracting #0: cost 69 inf + 0 12.341 * * [simplify]: Extracting #1: cost 620 inf + 87 12.345 * * [simplify]: Extracting #2: cost 1320 inf + 4650 12.356 * * [simplify]: Extracting #3: cost 1643 inf + 36142 12.437 * * [simplify]: Extracting #4: cost 563 inf + 265088 12.560 * * [simplify]: Extracting #5: cost 45 inf + 406518 12.657 * * [simplify]: Extracting #6: cost 5 inf + 418068 12.758 * * [simplify]: Extracting #7: cost 0 inf + 419493 12.889 * [simplify]: Simplified to: (log (sqrt (+ (* im im) (* re re)))) (exp (sqrt (+ (* im im) (* re re)))) (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re)))) (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (fabs (cbrt (+ (* im im) (* re re)))) (sqrt (cbrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) 1 (sqrt (+ (* im im) (* re re))) (sqrt (+ (* (* (* im im) im) (* (* im im) im)) (* (* re (* re re)) (* re (* re re))))) (sqrt (+ (* (* re re) (* re re)) (* (* im im) (- (* im im) (* re re))))) (sqrt (* (+ (* im im) (* re re)) (- (* im im) (* re re)))) (sqrt (- (* im im) (* re re))) 1/2 (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (real->posit16 (sqrt (+ (* im im) (* re re)))) (log (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))) (log (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))) (log (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))) (exp (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))) (* (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re)) (* (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re)) (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re)))) (* (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re)) (* (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re)) (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re)))) (* (cbrt (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))) (cbrt (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re)))) (cbrt (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))) (* (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re)) (* (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re)) (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re)))) (sqrt (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))) (sqrt (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))) (* (- im) im) (- (+ (sqrt (+ (* im im) (* re re))) re)) (/ im (* (cbrt (+ (sqrt (+ (* im im) (* re re))) re)) (cbrt (+ (sqrt (+ (* im im) (* re re))) re)))) (/ im (cbrt (+ (sqrt (+ (* im im) (* re re))) re))) (/ im (sqrt (+ (sqrt (+ (* im im) (* re re))) re))) (/ im (sqrt (+ (sqrt (+ (* im im) (* re re))) re))) im (/ im (+ (sqrt (+ (* im im) (* re re))) re)) im (/ im (+ (sqrt (+ (* im im) (* re re))) re)) (/ 1 (+ (sqrt (+ (* im im) (* re re))) re)) (/ (+ (sqrt (+ (* im im) (* re re))) re) (* im im)) (* (/ im (cbrt (+ (sqrt (+ (* im im) (* re re))) re))) (/ im (cbrt (+ (sqrt (+ (* im im) (* re re))) re)))) (/ (* im im) (sqrt (+ (sqrt (+ (* im im) (* re re))) re))) (* im im) (* im im) (/ (+ (sqrt (+ (* im im) (* re re))) re) im) (/ (* im im) (+ (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* re (* re re)))) (/ (* im im) (+ (* im im) 0)) (real->posit16 (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))) (log (sqrt (/ (* (* im im) 2.0) (+ (sqrt (+ (* im im) (* re re))) re)))) (exp (sqrt (/ (* (* im im) 2.0) (+ (sqrt (+ (* im im) (* re re))) re)))) (* (cbrt (sqrt (/ (* (* im im) 2.0) (+ (sqrt (+ (* im im) (* re re))) re)))) (cbrt (sqrt (/ (* (* im im) 2.0) (+ (sqrt (+ (* im im) (* re re))) re))))) (cbrt (sqrt (/ (* (* im im) 2.0) (+ (sqrt (+ (* im im) (* re re))) re)))) (* (sqrt (/ (* (* im im) 2.0) (+ (sqrt (+ (* im im) (* re re))) re))) (/ (* (* im im) 2.0) (+ (sqrt (+ (* im im) (* re re))) re))) (sqrt 2.0) (sqrt (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))) (sqrt (* (* im im) 2.0)) (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) 1/2 1/2 (sqrt (sqrt (/ (* (* im im) 2.0) (+ (sqrt (+ (* im im) (* re re))) re)))) (sqrt (sqrt (/ (* (* im im) 2.0) (+ (sqrt (+ (* im im) (* re re))) re)))) (real->posit16 (sqrt (/ (* (* im im) 2.0) (+ (sqrt (+ (* im im) (* re re))) re)))) (exp (+ (sqrt (+ (* im im) (* re re))) re)) (log (+ (sqrt (+ (* im im) (* re re))) re)) (exp (+ (sqrt (+ (* im im) (* re re))) re)) (* (cbrt (+ (sqrt (+ (* im im) (* re re))) re)) (cbrt (+ (sqrt (+ (* im im) (* re re))) re))) (cbrt (+ (sqrt (+ (* im im) (* re re))) re)) (* (+ (sqrt (+ (* im im) (* re re))) re) (* (+ (sqrt (+ (* im im) (* re re))) re) (+ (sqrt (+ (* im im) (* re re))) re))) (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (+ (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* re (* re re))) (+ (* (sqrt (+ (* im im) (* re re))) (- (sqrt (+ (* im im) (* re re))) re)) (* re re)) (+ (* im im) 0) (- (sqrt (+ (* im im) (* re re))) re) (+ (sqrt (+ (* im im) (* re re))) re) (real->posit16 (+ (sqrt (+ (* im im) (* re re))) re)) re im (- im) 0 0 (- (+ re im)) (+ (- (* (* (* im re) (* (sqrt 1/2) (sqrt 2.0))) +nan.0)) (* +nan.0 (- (/ (sqrt 2.0) (/ (sqrt 1/2) (* (* im im) im))) (* (* (sqrt 1/2) im) (sqrt 2.0))))) (- (+ (- (* (sqrt 2.0) +nan.0)) (* (/ (sqrt 2.0) im) +nan.0)) (/ (* (/ (sqrt 2.0) im) +nan.0) im)) (- (- (* (/ +nan.0 im) (/ (* (sqrt 2.0) re) im)) (* +nan.0 (- (sqrt 2.0) (/ (* (sqrt 2.0) re) im))))) (* 2 re) (+ im re) (- re im) 12.896 * * * [progress]: adding candidates to table 13.299 * [progress]: [Phase 3 of 3] Extracting. 13.300 * * [regime]: Finding splitpoints for: (# # # # # # #) 13.303 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re) 13.303 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # #) 13.374 * * * * [regimes]: Trying to branch on (* im im) from (# # #) 13.421 * * * * [regimes]: Trying to branch on im from (# # # # # # #) 13.550 * * * * [regimes]: Trying to branch on re from (# # # # # # #) 13.617 * * * [regime]: Found split indices: #