121.629 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.081 * * * [progress]: [2/2] Setting up program. 0.088 * [progress]: [Phase 2 of 3] Improving. 0.088 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.088 * [simplify]: Simplifying: (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.088 * * [simplify]: iteration 0: 12 enodes 0.093 * * [simplify]: iteration 1: 22 enodes 0.100 * * [simplify]: iteration 2: 24 enodes 0.106 * * [simplify]: iteration complete: 24 enodes 0.106 * * [simplify]: Extracting #0: cost 1 inf + 0 0.106 * * [simplify]: Extracting #1: cost 3 inf + 0 0.106 * * [simplify]: Extracting #2: cost 3 inf + 1 0.106 * * [simplify]: Extracting #3: cost 7 inf + 1 0.106 * * [simplify]: Extracting #4: cost 8 inf + 2 0.107 * * [simplify]: Extracting #5: cost 8 inf + 3 0.107 * * [simplify]: Extracting #6: cost 9 inf + 45 0.107 * * [simplify]: Extracting #7: cost 9 inf + 86 0.107 * * [simplify]: Extracting #8: cost 7 inf + 128 0.107 * * [simplify]: Extracting #9: cost 5 inf + 412 0.107 * * [simplify]: Extracting #10: cost 2 inf + 1060 0.107 * * [simplify]: Extracting #11: cost 0 inf + 1667 0.108 * [simplify]: Simplified to: (* 0.5 (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2.0))) 0.108 * * [progress]: iteration 1 / 4 0.108 * * * [progress]: picking best candidate 0.111 * * * * [pick]: Picked # 0.111 * * * [progress]: localizing error 0.131 * * * [progress]: generating rewritten candidates 0.131 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 0.138 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.188 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1) 0.202 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.235 * * * [progress]: generating series expansions 0.235 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 0.235 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 0.235 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 0.235 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.235 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.235 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.235 * [taylor]: Taking taylor expansion of im in im 0.235 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify 1 into 1 0.235 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.235 * [taylor]: Taking taylor expansion of re in im 0.235 * [backup-simplify]: Simplify re into re 0.236 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.236 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.236 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.236 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.237 * [backup-simplify]: Simplify (+ 0 0) into 0 0.237 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.237 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.237 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.237 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.237 * [taylor]: Taking taylor expansion of im in re 0.237 * [backup-simplify]: Simplify im into im 0.237 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.237 * [taylor]: Taking taylor expansion of re in re 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 1 into 1 0.237 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.237 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.237 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.237 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.238 * [backup-simplify]: Simplify (+ 0 0) into 0 0.238 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.238 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.238 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.238 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.238 * [taylor]: Taking taylor expansion of im in re 0.238 * [backup-simplify]: Simplify im into im 0.238 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.238 * [taylor]: Taking taylor expansion of re in re 0.238 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify 1 into 1 0.238 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.239 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.239 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.239 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.239 * [backup-simplify]: Simplify (+ 0 0) into 0 0.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.239 * [taylor]: Taking taylor expansion of im in im 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify 1 into 1 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [taylor]: Taking taylor expansion of 0 in im 0.240 * [backup-simplify]: Simplify 0 into 0 0.240 * [backup-simplify]: Simplify 0 into 0 0.240 * [backup-simplify]: Simplify 1 into 1 0.240 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.240 * [backup-simplify]: Simplify (* 1 1) into 1 0.241 * [backup-simplify]: Simplify (+ 0 1) into 1 0.242 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.242 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.242 * [taylor]: Taking taylor expansion of 1/2 in im 0.242 * [backup-simplify]: Simplify 1/2 into 1/2 0.242 * [taylor]: Taking taylor expansion of im in im 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify 1 into 1 0.242 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.243 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.245 * [backup-simplify]: Simplify (+ 0 0) into 0 0.245 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.245 * [taylor]: Taking taylor expansion of 0 in im 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.247 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 0.247 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 0.247 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.247 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.247 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.247 * [taylor]: Taking taylor expansion of re in im 0.247 * [backup-simplify]: Simplify re into re 0.247 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.247 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.247 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.247 * [taylor]: Taking taylor expansion of im in im 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 1 into 1 0.248 * [backup-simplify]: Simplify (* 1 1) into 1 0.248 * [backup-simplify]: Simplify (/ 1 1) into 1 0.248 * [backup-simplify]: Simplify (+ 0 1) into 1 0.249 * [backup-simplify]: Simplify (sqrt 1) into 1 0.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.250 * [backup-simplify]: Simplify (+ 0 0) into 0 0.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.251 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.251 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.251 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.251 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.251 * [taylor]: Taking taylor expansion of re in re 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify 1 into 1 0.252 * [backup-simplify]: Simplify (* 1 1) into 1 0.252 * [backup-simplify]: Simplify (/ 1 1) into 1 0.252 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.252 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.252 * [taylor]: Taking taylor expansion of im in re 0.252 * [backup-simplify]: Simplify im into im 0.252 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.252 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.253 * [backup-simplify]: Simplify (+ 1 0) into 1 0.253 * [backup-simplify]: Simplify (sqrt 1) into 1 0.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.255 * [backup-simplify]: Simplify (+ 0 0) into 0 0.255 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.255 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.255 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.256 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.256 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.256 * [taylor]: Taking taylor expansion of re in re 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify 1 into 1 0.256 * [backup-simplify]: Simplify (* 1 1) into 1 0.256 * [backup-simplify]: Simplify (/ 1 1) into 1 0.256 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.256 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.256 * [taylor]: Taking taylor expansion of im in re 0.256 * [backup-simplify]: Simplify im into im 0.256 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.257 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.257 * [backup-simplify]: Simplify (+ 1 0) into 1 0.257 * [backup-simplify]: Simplify (sqrt 1) into 1 0.258 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.259 * [backup-simplify]: Simplify (+ 0 0) into 0 0.260 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.260 * [taylor]: Taking taylor expansion of 1 in im 0.260 * [backup-simplify]: Simplify 1 into 1 0.260 * [taylor]: Taking taylor expansion of 0 in im 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 1 into 1 0.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.263 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.264 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.264 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.264 * [taylor]: Taking taylor expansion of 1/2 in im 0.264 * [backup-simplify]: Simplify 1/2 into 1/2 0.264 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.264 * [taylor]: Taking taylor expansion of im in im 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify 1 into 1 0.264 * [backup-simplify]: Simplify (* 1 1) into 1 0.265 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.266 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.268 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.269 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.269 * [backup-simplify]: Simplify (+ 0 0) into 0 0.269 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.270 * [taylor]: Taking taylor expansion of 0 in im 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.272 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 0.272 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 0.272 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.272 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.272 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.272 * [taylor]: Taking taylor expansion of re in im 0.272 * [backup-simplify]: Simplify re into re 0.272 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.272 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.272 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.272 * [taylor]: Taking taylor expansion of im in im 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify 1 into 1 0.273 * [backup-simplify]: Simplify (* 1 1) into 1 0.273 * [backup-simplify]: Simplify (/ 1 1) into 1 0.273 * [backup-simplify]: Simplify (+ 0 1) into 1 0.274 * [backup-simplify]: Simplify (sqrt 1) into 1 0.274 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.275 * [backup-simplify]: Simplify (+ 0 0) into 0 0.276 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.276 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.276 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.276 * [taylor]: Taking taylor expansion of re in re 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify 1 into 1 0.277 * [backup-simplify]: Simplify (* 1 1) into 1 0.277 * [backup-simplify]: Simplify (/ 1 1) into 1 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.277 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.277 * [taylor]: Taking taylor expansion of im in re 0.277 * [backup-simplify]: Simplify im into im 0.277 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.277 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.278 * [backup-simplify]: Simplify (+ 1 0) into 1 0.278 * [backup-simplify]: Simplify (sqrt 1) into 1 0.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.280 * [backup-simplify]: Simplify (+ 0 0) into 0 0.281 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.281 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.281 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.281 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.281 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.281 * [taylor]: Taking taylor expansion of re in re 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 1 into 1 0.281 * [backup-simplify]: Simplify (* 1 1) into 1 0.282 * [backup-simplify]: Simplify (/ 1 1) into 1 0.282 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.282 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.282 * [taylor]: Taking taylor expansion of im in re 0.282 * [backup-simplify]: Simplify im into im 0.282 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.282 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.283 * [backup-simplify]: Simplify (+ 1 0) into 1 0.283 * [backup-simplify]: Simplify (sqrt 1) into 1 0.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.285 * [backup-simplify]: Simplify (+ 0 0) into 0 0.285 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.285 * [taylor]: Taking taylor expansion of 1 in im 0.285 * [backup-simplify]: Simplify 1 into 1 0.286 * [taylor]: Taking taylor expansion of 0 in im 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 1 into 1 0.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.290 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.292 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.292 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.292 * [taylor]: Taking taylor expansion of 1/2 in im 0.292 * [backup-simplify]: Simplify 1/2 into 1/2 0.292 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.292 * [taylor]: Taking taylor expansion of im in im 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 1 into 1 0.292 * [backup-simplify]: Simplify (* 1 1) into 1 0.293 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.296 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.297 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.297 * [backup-simplify]: Simplify (+ 0 0) into 0 0.297 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.297 * [taylor]: Taking taylor expansion of 0 in im 0.297 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.299 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.299 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.300 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.300 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2)))) 0.300 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0 0.300 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 0.300 * [taylor]: Taking taylor expansion of re in im 0.300 * [backup-simplify]: Simplify re into re 0.300 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.300 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.300 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.300 * [taylor]: Taking taylor expansion of im in im 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify 1 into 1 0.300 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.300 * [taylor]: Taking taylor expansion of re in im 0.300 * [backup-simplify]: Simplify re into re 0.300 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.300 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.300 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.300 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.301 * [backup-simplify]: Simplify (+ 0 0) into 0 0.301 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.301 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 0.301 * [taylor]: Taking taylor expansion of re in re 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 1 into 1 0.301 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.301 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.301 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.301 * [taylor]: Taking taylor expansion of im in re 0.301 * [backup-simplify]: Simplify im into im 0.301 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.301 * [taylor]: Taking taylor expansion of re in re 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 1 into 1 0.301 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.301 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.302 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.302 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.302 * [backup-simplify]: Simplify (+ 0 0) into 0 0.302 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.302 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 0.302 * [taylor]: Taking taylor expansion of re in re 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 1 into 1 0.302 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.302 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.302 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.302 * [taylor]: Taking taylor expansion of im in re 0.302 * [backup-simplify]: Simplify im into im 0.302 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.302 * [taylor]: Taking taylor expansion of re in re 0.302 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.303 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.303 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.303 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.303 * [backup-simplify]: Simplify (+ 0 0) into 0 0.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.303 * [backup-simplify]: Simplify (+ 0 im) into im 0.304 * [taylor]: Taking taylor expansion of im in im 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 1 into 1 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify (+ 1 0) into 1 0.304 * [taylor]: Taking taylor expansion of 1 in im 0.304 * [backup-simplify]: Simplify 1 into 1 0.304 * [backup-simplify]: Simplify 1 into 1 0.304 * [backup-simplify]: Simplify 1 into 1 0.305 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.305 * [backup-simplify]: Simplify (* 1 1) into 1 0.306 * [backup-simplify]: Simplify (+ 0 1) into 1 0.306 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.306 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 0.307 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.307 * [taylor]: Taking taylor expansion of 1/2 in im 0.307 * [backup-simplify]: Simplify 1/2 into 1/2 0.307 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.307 * [taylor]: Taking taylor expansion of im in im 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 1 into 1 0.307 * [backup-simplify]: Simplify (/ 1 1) into 1 0.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.309 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.311 * [backup-simplify]: Simplify (+ 0 0) into 0 0.311 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.311 * [backup-simplify]: Simplify (+ 0 0) into 0 0.311 * [taylor]: Taking taylor expansion of 0 in im 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.313 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 0.314 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) 0.314 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 0.314 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 0.314 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.314 * [taylor]: Taking taylor expansion of re in im 0.314 * [backup-simplify]: Simplify re into re 0.314 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.314 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.314 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.314 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.314 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.314 * [taylor]: Taking taylor expansion of re in im 0.314 * [backup-simplify]: Simplify re into re 0.314 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.314 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.314 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.314 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.315 * [taylor]: Taking taylor expansion of im in im 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify 1 into 1 0.315 * [backup-simplify]: Simplify (* 1 1) into 1 0.315 * [backup-simplify]: Simplify (/ 1 1) into 1 0.316 * [backup-simplify]: Simplify (+ 0 1) into 1 0.316 * [backup-simplify]: Simplify (sqrt 1) into 1 0.317 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.318 * [backup-simplify]: Simplify (+ 0 0) into 0 0.318 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.319 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.319 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.319 * [taylor]: Taking taylor expansion of re in re 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify 1 into 1 0.319 * [backup-simplify]: Simplify (/ 1 1) into 1 0.319 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.319 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.319 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.319 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.319 * [taylor]: Taking taylor expansion of re in re 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify 1 into 1 0.319 * [backup-simplify]: Simplify (* 1 1) into 1 0.320 * [backup-simplify]: Simplify (/ 1 1) into 1 0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.320 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.320 * [taylor]: Taking taylor expansion of im in re 0.320 * [backup-simplify]: Simplify im into im 0.320 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.320 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.321 * [backup-simplify]: Simplify (+ 1 0) into 1 0.321 * [backup-simplify]: Simplify (sqrt 1) into 1 0.322 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.323 * [backup-simplify]: Simplify (+ 0 0) into 0 0.323 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.323 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.323 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.323 * [taylor]: Taking taylor expansion of re in re 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify 1 into 1 0.324 * [backup-simplify]: Simplify (/ 1 1) into 1 0.324 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.324 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.324 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.324 * [taylor]: Taking taylor expansion of re in re 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 1 into 1 0.324 * [backup-simplify]: Simplify (* 1 1) into 1 0.325 * [backup-simplify]: Simplify (/ 1 1) into 1 0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.325 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.325 * [taylor]: Taking taylor expansion of im in re 0.325 * [backup-simplify]: Simplify im into im 0.325 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.325 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.325 * [backup-simplify]: Simplify (+ 1 0) into 1 0.326 * [backup-simplify]: Simplify (sqrt 1) into 1 0.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.328 * [backup-simplify]: Simplify (+ 0 0) into 0 0.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.329 * [backup-simplify]: Simplify (+ 1 1) into 2 0.329 * [taylor]: Taking taylor expansion of 2 in im 0.329 * [backup-simplify]: Simplify 2 into 2 0.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.330 * [backup-simplify]: Simplify (+ 0 0) into 0 0.330 * [taylor]: Taking taylor expansion of 0 in im 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 2 into 2 0.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.333 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.334 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.335 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.335 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.335 * [taylor]: Taking taylor expansion of 1/2 in im 0.335 * [backup-simplify]: Simplify 1/2 into 1/2 0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.335 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.335 * [taylor]: Taking taylor expansion of im in im 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify 1 into 1 0.335 * [backup-simplify]: Simplify (* 1 1) into 1 0.336 * [backup-simplify]: Simplify (/ 1 1) into 1 0.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.338 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.341 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.342 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.342 * [backup-simplify]: Simplify (+ 0 0) into 0 0.343 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.343 * [backup-simplify]: Simplify (+ 0 0) into 0 0.343 * [taylor]: Taking taylor expansion of 0 in im 0.343 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.346 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 0.347 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) 0.347 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 0.347 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 0.347 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.347 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.347 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.347 * [taylor]: Taking taylor expansion of re in im 0.347 * [backup-simplify]: Simplify re into re 0.347 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.347 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.347 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.347 * [taylor]: Taking taylor expansion of im in im 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify 1 into 1 0.347 * [backup-simplify]: Simplify (* 1 1) into 1 0.348 * [backup-simplify]: Simplify (/ 1 1) into 1 0.348 * [backup-simplify]: Simplify (+ 0 1) into 1 0.348 * [backup-simplify]: Simplify (sqrt 1) into 1 0.349 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.350 * [backup-simplify]: Simplify (+ 0 0) into 0 0.351 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.351 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.351 * [taylor]: Taking taylor expansion of re in im 0.351 * [backup-simplify]: Simplify re into re 0.351 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.351 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.351 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.351 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.351 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.351 * [taylor]: Taking taylor expansion of re in re 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify 1 into 1 0.352 * [backup-simplify]: Simplify (* 1 1) into 1 0.352 * [backup-simplify]: Simplify (/ 1 1) into 1 0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.352 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.352 * [taylor]: Taking taylor expansion of im in re 0.352 * [backup-simplify]: Simplify im into im 0.352 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.352 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.353 * [backup-simplify]: Simplify (+ 1 0) into 1 0.353 * [backup-simplify]: Simplify (sqrt 1) into 1 0.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.355 * [backup-simplify]: Simplify (+ 0 0) into 0 0.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.355 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.355 * [taylor]: Taking taylor expansion of re in re 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify 1 into 1 0.356 * [backup-simplify]: Simplify (/ 1 1) into 1 0.356 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.356 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.356 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.356 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.356 * [taylor]: Taking taylor expansion of re in re 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 1 into 1 0.356 * [backup-simplify]: Simplify (* 1 1) into 1 0.357 * [backup-simplify]: Simplify (/ 1 1) into 1 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.357 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.357 * [taylor]: Taking taylor expansion of im in re 0.357 * [backup-simplify]: Simplify im into im 0.357 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.357 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.357 * [backup-simplify]: Simplify (+ 1 0) into 1 0.358 * [backup-simplify]: Simplify (sqrt 1) into 1 0.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.360 * [backup-simplify]: Simplify (+ 0 0) into 0 0.360 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.360 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.360 * [taylor]: Taking taylor expansion of re in re 0.360 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 1 into 1 0.361 * [backup-simplify]: Simplify (/ 1 1) into 1 0.361 * [backup-simplify]: Simplify (- 1) into -1 0.362 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.362 * [taylor]: Taking taylor expansion of 0 in im 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.363 * [backup-simplify]: Simplify (- 0) into 0 0.363 * [backup-simplify]: Simplify (+ 0 0) into 0 0.363 * [taylor]: Taking taylor expansion of 0 in im 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.364 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.365 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.366 * [backup-simplify]: Simplify (- 0) into 0 0.366 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.366 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.366 * [taylor]: Taking taylor expansion of 1/2 in im 0.366 * [backup-simplify]: Simplify 1/2 into 1/2 0.366 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.366 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.366 * [taylor]: Taking taylor expansion of im in im 0.366 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify 1 into 1 0.366 * [backup-simplify]: Simplify (* 1 1) into 1 0.366 * [backup-simplify]: Simplify (/ 1 1) into 1 0.367 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.367 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.369 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.369 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.369 * [backup-simplify]: Simplify (+ 0 0) into 0 0.370 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.370 * [backup-simplify]: Simplify (- 0) into 0 0.371 * [backup-simplify]: Simplify (+ 0 0) into 0 0.371 * [taylor]: Taking taylor expansion of 0 in im 0.371 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.372 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1) 0.372 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow im 2) (pow re 2)) 0.372 * [approximate]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in (re im) around 0 0.372 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.373 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.373 * [taylor]: Taking taylor expansion of im in im 0.373 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify 1 into 1 0.373 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.373 * [taylor]: Taking taylor expansion of re in im 0.373 * [backup-simplify]: Simplify re into re 0.373 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.373 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.373 * [taylor]: Taking taylor expansion of im in re 0.373 * [backup-simplify]: Simplify im into im 0.373 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.373 * [taylor]: Taking taylor expansion of re in re 0.373 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify 1 into 1 0.373 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.373 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.373 * [taylor]: Taking taylor expansion of im in re 0.373 * [backup-simplify]: Simplify im into im 0.373 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.373 * [taylor]: Taking taylor expansion of re in re 0.373 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify 1 into 1 0.373 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.373 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.373 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.373 * [taylor]: Taking taylor expansion of im in im 0.373 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify 1 into 1 0.373 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.373 * [backup-simplify]: Simplify (+ 0 0) into 0 0.373 * [taylor]: Taking taylor expansion of 0 in im 0.373 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify 0 into 0 0.374 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.374 * [backup-simplify]: Simplify (* 1 1) into 1 0.374 * [backup-simplify]: Simplify (+ 0 1) into 1 0.374 * [taylor]: Taking taylor expansion of 1 in im 0.374 * [backup-simplify]: Simplify 1 into 1 0.374 * [backup-simplify]: Simplify 1 into 1 0.374 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify (* 1 1) into 1 0.375 * [backup-simplify]: Simplify 1 into 1 0.375 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.375 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.376 * [backup-simplify]: Simplify (+ 0 0) into 0 0.376 * [taylor]: Taking taylor expansion of 0 in im 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.376 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 0.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.378 * [backup-simplify]: Simplify (+ 0 0) into 0 0.378 * [taylor]: Taking taylor expansion of 0 in im 0.378 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow im 2) (pow re 2)) 0.378 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 0.378 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0 0.378 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.378 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.378 * [taylor]: Taking taylor expansion of re in im 0.378 * [backup-simplify]: Simplify re into re 0.378 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.378 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.378 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.378 * [taylor]: Taking taylor expansion of im in im 0.378 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify 1 into 1 0.379 * [backup-simplify]: Simplify (* 1 1) into 1 0.379 * [backup-simplify]: Simplify (/ 1 1) into 1 0.379 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.379 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.379 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.379 * [taylor]: Taking taylor expansion of re in re 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify 1 into 1 0.379 * [backup-simplify]: Simplify (* 1 1) into 1 0.379 * [backup-simplify]: Simplify (/ 1 1) into 1 0.379 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.379 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.380 * [taylor]: Taking taylor expansion of im in re 0.380 * [backup-simplify]: Simplify im into im 0.380 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.380 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.380 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.380 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.380 * [taylor]: Taking taylor expansion of re in re 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 1 into 1 0.380 * [backup-simplify]: Simplify (* 1 1) into 1 0.380 * [backup-simplify]: Simplify (/ 1 1) into 1 0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.380 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.380 * [taylor]: Taking taylor expansion of im in re 0.380 * [backup-simplify]: Simplify im into im 0.380 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.380 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.381 * [backup-simplify]: Simplify (+ 1 0) into 1 0.381 * [taylor]: Taking taylor expansion of 1 in im 0.381 * [backup-simplify]: Simplify 1 into 1 0.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.382 * [backup-simplify]: Simplify (+ 0 0) into 0 0.382 * [taylor]: Taking taylor expansion of 0 in im 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.383 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.383 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.383 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.383 * [taylor]: Taking taylor expansion of im in im 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify 1 into 1 0.383 * [backup-simplify]: Simplify (* 1 1) into 1 0.384 * [backup-simplify]: Simplify (/ 1 1) into 1 0.384 * [backup-simplify]: Simplify 1 into 1 0.384 * [backup-simplify]: Simplify 1 into 1 0.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.385 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.385 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.385 * [backup-simplify]: Simplify (+ 0 0) into 0 0.385 * [taylor]: Taking taylor expansion of 0 in im 0.385 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.388 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.388 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.388 * [backup-simplify]: Simplify (+ 0 0) into 0 0.388 * [taylor]: Taking taylor expansion of 0 in im 0.388 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow im 2) (pow re 2)) 0.390 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 0.390 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0 0.390 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.390 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.390 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.390 * [taylor]: Taking taylor expansion of re in im 0.390 * [backup-simplify]: Simplify re into re 0.390 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.390 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.390 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.390 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.390 * [taylor]: Taking taylor expansion of im in im 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify 1 into 1 0.390 * [backup-simplify]: Simplify (* 1 1) into 1 0.391 * [backup-simplify]: Simplify (/ 1 1) into 1 0.391 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.391 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.391 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.391 * [taylor]: Taking taylor expansion of re in re 0.391 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify 1 into 1 0.391 * [backup-simplify]: Simplify (* 1 1) into 1 0.391 * [backup-simplify]: Simplify (/ 1 1) into 1 0.392 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.392 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.392 * [taylor]: Taking taylor expansion of im in re 0.392 * [backup-simplify]: Simplify im into im 0.392 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.392 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.392 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.392 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.392 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.392 * [taylor]: Taking taylor expansion of re in re 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify 1 into 1 0.392 * [backup-simplify]: Simplify (* 1 1) into 1 0.393 * [backup-simplify]: Simplify (/ 1 1) into 1 0.393 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.393 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.393 * [taylor]: Taking taylor expansion of im in re 0.393 * [backup-simplify]: Simplify im into im 0.393 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.393 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.393 * [backup-simplify]: Simplify (+ 1 0) into 1 0.393 * [taylor]: Taking taylor expansion of 1 in im 0.393 * [backup-simplify]: Simplify 1 into 1 0.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.395 * [backup-simplify]: Simplify (+ 0 0) into 0 0.395 * [taylor]: Taking taylor expansion of 0 in im 0.395 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.397 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.397 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.397 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.397 * [taylor]: Taking taylor expansion of im in im 0.397 * [backup-simplify]: Simplify 0 into 0 0.397 * [backup-simplify]: Simplify 1 into 1 0.397 * [backup-simplify]: Simplify (* 1 1) into 1 0.398 * [backup-simplify]: Simplify (/ 1 1) into 1 0.398 * [backup-simplify]: Simplify 1 into 1 0.398 * [backup-simplify]: Simplify 1 into 1 0.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.400 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.401 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.401 * [backup-simplify]: Simplify (+ 0 0) into 0 0.401 * [taylor]: Taking taylor expansion of 0 in im 0.401 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.405 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.405 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.405 * [backup-simplify]: Simplify (+ 0 0) into 0 0.406 * [taylor]: Taking taylor expansion of 0 in im 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow im 2) (pow re 2)) 0.407 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.407 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) into (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) 0.407 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in (re im) around 0 0.407 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in im 0.407 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.407 * [taylor]: Taking taylor expansion of 2.0 in im 0.407 * [backup-simplify]: Simplify 2.0 into 2.0 0.408 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.408 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.408 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im 0.408 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 0.408 * [taylor]: Taking taylor expansion of re in im 0.408 * [backup-simplify]: Simplify re into re 0.408 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.408 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.408 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.408 * [taylor]: Taking taylor expansion of im in im 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify 1 into 1 0.408 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.408 * [taylor]: Taking taylor expansion of re in im 0.408 * [backup-simplify]: Simplify re into re 0.408 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.408 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.408 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.408 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.409 * [backup-simplify]: Simplify (+ 0 0) into 0 0.409 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.409 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 0.409 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 0.409 * [backup-simplify]: Simplify (+ 0 0) into 0 0.409 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 0.409 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re 0.409 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.409 * [taylor]: Taking taylor expansion of 2.0 in re 0.409 * [backup-simplify]: Simplify 2.0 into 2.0 0.409 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.410 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.410 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re 0.410 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 0.410 * [taylor]: Taking taylor expansion of re in re 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify 1 into 1 0.410 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.410 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.410 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.410 * [taylor]: Taking taylor expansion of im in re 0.410 * [backup-simplify]: Simplify im into im 0.410 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.410 * [taylor]: Taking taylor expansion of re in re 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify 1 into 1 0.410 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.410 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.410 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.410 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.411 * [backup-simplify]: Simplify (+ 0 0) into 0 0.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.411 * [backup-simplify]: Simplify (+ 0 im) into im 0.411 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.411 * [backup-simplify]: Simplify (+ 1 0) into 1 0.411 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 0.411 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re 0.411 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.411 * [taylor]: Taking taylor expansion of 2.0 in re 0.411 * [backup-simplify]: Simplify 2.0 into 2.0 0.411 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.412 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.412 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re 0.412 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 0.412 * [taylor]: Taking taylor expansion of re in re 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify 1 into 1 0.412 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.412 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.412 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.412 * [taylor]: Taking taylor expansion of im in re 0.412 * [backup-simplify]: Simplify im into im 0.412 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.412 * [taylor]: Taking taylor expansion of re in re 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify 1 into 1 0.412 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.412 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.412 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.412 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.414 * [backup-simplify]: Simplify (+ 0 0) into 0 0.414 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.414 * [backup-simplify]: Simplify (+ 0 im) into im 0.414 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.415 * [backup-simplify]: Simplify (+ 1 0) into 1 0.415 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 0.415 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 0.415 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.415 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.415 * [taylor]: Taking taylor expansion of 2.0 in im 0.415 * [backup-simplify]: Simplify 2.0 into 2.0 0.415 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.416 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.416 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.416 * [taylor]: Taking taylor expansion of im in im 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [backup-simplify]: Simplify (sqrt 0) into 0 0.417 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.418 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) 0.418 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.418 * [taylor]: Taking taylor expansion of 1/2 in im 0.418 * [backup-simplify]: Simplify 1/2 into 1/2 0.418 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.418 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.418 * [taylor]: Taking taylor expansion of 2.0 in im 0.418 * [backup-simplify]: Simplify 2.0 into 2.0 0.418 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.419 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.419 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.419 * [taylor]: Taking taylor expansion of im in im 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 1 into 1 0.419 * [backup-simplify]: Simplify (/ 1 1) into 1 0.419 * [backup-simplify]: Simplify (sqrt 0) into 0 0.420 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.421 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.422 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.424 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.425 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.426 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.427 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.427 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.428 * [backup-simplify]: Simplify (* 1 1) into 1 0.428 * [backup-simplify]: Simplify (+ 0 1) into 1 0.428 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.428 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 0.429 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 im)) (pow (* 1/2 (sqrt (/ 1 im))) 2) (+)) (* 2 (sqrt im))) into (* 1/8 (sqrt (/ 1 (pow im 3)))) 0.429 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.430 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/8 (sqrt (/ 1 (pow im 3))))) (+ (* 0 (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im)))) into (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) 0.430 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.430 * [taylor]: Taking taylor expansion of 1/8 in im 0.430 * [backup-simplify]: Simplify 1/8 into 1/8 0.430 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.430 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.430 * [taylor]: Taking taylor expansion of 2.0 in im 0.430 * [backup-simplify]: Simplify 2.0 into 2.0 0.430 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.431 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.431 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.431 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.431 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.431 * [taylor]: Taking taylor expansion of im in im 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify 1 into 1 0.431 * [backup-simplify]: Simplify (* 1 1) into 1 0.431 * [backup-simplify]: Simplify (* 1 1) into 1 0.432 * [backup-simplify]: Simplify (/ 1 1) into 1 0.432 * [backup-simplify]: Simplify (sqrt 0) into 0 0.433 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.437 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.438 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.441 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.443 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.444 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.449 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.450 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.455 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 re) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im 1)) (* (- (* +nan.0 (sqrt 2.0))) (* 1 re)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) 0.455 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) 0.455 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in (re im) around 0 0.455 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 0.456 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.456 * [taylor]: Taking taylor expansion of 2.0 in im 0.456 * [backup-simplify]: Simplify 2.0 into 2.0 0.456 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.457 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 0.457 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 0.457 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.457 * [taylor]: Taking taylor expansion of re in im 0.457 * [backup-simplify]: Simplify re into re 0.457 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.457 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.457 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.457 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.457 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.457 * [taylor]: Taking taylor expansion of re in im 0.457 * [backup-simplify]: Simplify re into re 0.457 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.457 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.457 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.457 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.457 * [taylor]: Taking taylor expansion of im in im 0.457 * [backup-simplify]: Simplify 0 into 0 0.457 * [backup-simplify]: Simplify 1 into 1 0.458 * [backup-simplify]: Simplify (* 1 1) into 1 0.458 * [backup-simplify]: Simplify (/ 1 1) into 1 0.458 * [backup-simplify]: Simplify (+ 0 1) into 1 0.459 * [backup-simplify]: Simplify (sqrt 1) into 1 0.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.460 * [backup-simplify]: Simplify (+ 0 0) into 0 0.461 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.462 * [backup-simplify]: Simplify (+ 0 1) into 1 0.462 * [backup-simplify]: Simplify (sqrt 0) into 0 0.463 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.464 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 0.464 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.464 * [taylor]: Taking taylor expansion of 2.0 in re 0.464 * [backup-simplify]: Simplify 2.0 into 2.0 0.464 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.465 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.465 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 0.465 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.465 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.465 * [taylor]: Taking taylor expansion of re in re 0.465 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify 1 into 1 0.465 * [backup-simplify]: Simplify (/ 1 1) into 1 0.465 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.465 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.465 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.465 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.465 * [taylor]: Taking taylor expansion of re in re 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify 1 into 1 0.466 * [backup-simplify]: Simplify (* 1 1) into 1 0.466 * [backup-simplify]: Simplify (/ 1 1) into 1 0.466 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.466 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.466 * [taylor]: Taking taylor expansion of im in re 0.466 * [backup-simplify]: Simplify im into im 0.467 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.467 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.467 * [backup-simplify]: Simplify (+ 1 0) into 1 0.467 * [backup-simplify]: Simplify (sqrt 1) into 1 0.468 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.469 * [backup-simplify]: Simplify (+ 0 0) into 0 0.470 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.470 * [backup-simplify]: Simplify (+ 1 1) into 2 0.471 * [backup-simplify]: Simplify (sqrt 0) into 0 0.471 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.472 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 0.472 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.472 * [taylor]: Taking taylor expansion of 2.0 in re 0.472 * [backup-simplify]: Simplify 2.0 into 2.0 0.472 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.472 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 0.472 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.472 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.472 * [taylor]: Taking taylor expansion of re in re 0.472 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify 1 into 1 0.473 * [backup-simplify]: Simplify (/ 1 1) into 1 0.473 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.473 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.473 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.473 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.473 * [taylor]: Taking taylor expansion of re in re 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 1 into 1 0.473 * [backup-simplify]: Simplify (* 1 1) into 1 0.473 * [backup-simplify]: Simplify (/ 1 1) into 1 0.473 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.473 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.473 * [taylor]: Taking taylor expansion of im in re 0.473 * [backup-simplify]: Simplify im into im 0.473 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.474 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.474 * [backup-simplify]: Simplify (+ 1 0) into 1 0.474 * [backup-simplify]: Simplify (sqrt 1) into 1 0.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.475 * [backup-simplify]: Simplify (+ 0 0) into 0 0.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.476 * [backup-simplify]: Simplify (+ 1 1) into 2 0.476 * [backup-simplify]: Simplify (sqrt 0) into 0 0.477 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.477 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.477 * [taylor]: Taking taylor expansion of 0 in im 0.477 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.479 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.479 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.479 * [taylor]: Taking taylor expansion of +nan.0 in im 0.479 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.479 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.479 * [taylor]: Taking taylor expansion of 2.0 in im 0.479 * [backup-simplify]: Simplify 2.0 into 2.0 0.479 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.479 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.480 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.480 * [backup-simplify]: Simplify (+ 0 0) into 0 0.482 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.483 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.484 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.484 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.484 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.484 * [taylor]: Taking taylor expansion of +nan.0 in im 0.484 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.484 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.484 * [taylor]: Taking taylor expansion of 2.0 in im 0.484 * [backup-simplify]: Simplify 2.0 into 2.0 0.485 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.485 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.486 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.487 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.488 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.488 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.490 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.491 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.491 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.492 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0.493 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.494 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) 0.494 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 0.494 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 0.494 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.494 * [taylor]: Taking taylor expansion of +nan.0 in im 0.494 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.494 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.494 * [taylor]: Taking taylor expansion of 2.0 in im 0.494 * [backup-simplify]: Simplify 2.0 into 2.0 0.494 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.495 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.495 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.495 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.495 * [taylor]: Taking taylor expansion of +nan.0 in im 0.495 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.495 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.495 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.495 * [taylor]: Taking taylor expansion of 2.0 in im 0.495 * [backup-simplify]: Simplify 2.0 into 2.0 0.495 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.495 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.495 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.495 * [taylor]: Taking taylor expansion of im in im 0.495 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify 1 into 1 0.496 * [backup-simplify]: Simplify (* 1 1) into 1 0.496 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.498 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.498 * [backup-simplify]: Simplify (- 0) into 0 0.498 * [backup-simplify]: Simplify (+ 0 0) into 0 0.499 * [backup-simplify]: Simplify (- 0) into 0 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.500 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.501 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.501 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.502 * [backup-simplify]: Simplify (- 0) into 0 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.506 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.506 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.506 * [backup-simplify]: Simplify (+ 0 0) into 0 0.507 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.507 * [backup-simplify]: Simplify (+ 0 0) into 0 0.509 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0.510 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.512 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) 0.512 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 0.512 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 0.512 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.512 * [taylor]: Taking taylor expansion of +nan.0 in im 0.512 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.512 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.513 * [taylor]: Taking taylor expansion of 2.0 in im 0.513 * [backup-simplify]: Simplify 2.0 into 2.0 0.513 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.514 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.514 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.514 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.514 * [taylor]: Taking taylor expansion of +nan.0 in im 0.514 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.514 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.514 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.514 * [taylor]: Taking taylor expansion of 2.0 in im 0.514 * [backup-simplify]: Simplify 2.0 into 2.0 0.514 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.515 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.515 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.515 * [taylor]: Taking taylor expansion of im in im 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify 1 into 1 0.516 * [backup-simplify]: Simplify (* 1 1) into 1 0.516 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.517 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.518 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.519 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.520 * [backup-simplify]: Simplify (- 0) into 0 0.520 * [backup-simplify]: Simplify (+ 0 0) into 0 0.521 * [backup-simplify]: Simplify (- 0) into 0 0.521 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.523 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.527 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.529 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.529 * [backup-simplify]: Simplify (- 0) into 0 0.531 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 0.533 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.535 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.539 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 re)) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 re))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 0.540 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) 0.540 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in (re im) around 0 0.540 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 0.540 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.540 * [taylor]: Taking taylor expansion of 2.0 in im 0.540 * [backup-simplify]: Simplify 2.0 into 2.0 0.541 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.541 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.541 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 0.541 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 0.541 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.541 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.541 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.541 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.541 * [taylor]: Taking taylor expansion of re in im 0.541 * [backup-simplify]: Simplify re into re 0.542 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.542 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.542 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.542 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.542 * [taylor]: Taking taylor expansion of im in im 0.542 * [backup-simplify]: Simplify 0 into 0 0.542 * [backup-simplify]: Simplify 1 into 1 0.542 * [backup-simplify]: Simplify (* 1 1) into 1 0.543 * [backup-simplify]: Simplify (/ 1 1) into 1 0.543 * [backup-simplify]: Simplify (+ 0 1) into 1 0.543 * [backup-simplify]: Simplify (sqrt 1) into 1 0.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.545 * [backup-simplify]: Simplify (+ 0 0) into 0 0.546 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.546 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.546 * [taylor]: Taking taylor expansion of re in im 0.546 * [backup-simplify]: Simplify re into re 0.546 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.547 * [backup-simplify]: Simplify (+ 1 0) into 1 0.547 * [backup-simplify]: Simplify (sqrt 0) into 0 0.549 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.549 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 0.549 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.549 * [taylor]: Taking taylor expansion of 2.0 in re 0.549 * [backup-simplify]: Simplify 2.0 into 2.0 0.549 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.550 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.550 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 0.550 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.550 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.550 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.550 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.550 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.550 * [taylor]: Taking taylor expansion of re in re 0.550 * [backup-simplify]: Simplify 0 into 0 0.550 * [backup-simplify]: Simplify 1 into 1 0.550 * [backup-simplify]: Simplify (* 1 1) into 1 0.551 * [backup-simplify]: Simplify (/ 1 1) into 1 0.551 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.551 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.551 * [taylor]: Taking taylor expansion of im in re 0.551 * [backup-simplify]: Simplify im into im 0.551 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.551 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.552 * [backup-simplify]: Simplify (+ 1 0) into 1 0.552 * [backup-simplify]: Simplify (sqrt 1) into 1 0.553 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.554 * [backup-simplify]: Simplify (+ 0 0) into 0 0.555 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.555 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.555 * [taylor]: Taking taylor expansion of re in re 0.555 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify 1 into 1 0.555 * [backup-simplify]: Simplify (/ 1 1) into 1 0.555 * [backup-simplify]: Simplify (- 1) into -1 0.556 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.557 * [backup-simplify]: Simplify (- 0) into 0 0.557 * [backup-simplify]: Simplify (+ 0 0) into 0 0.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.560 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.561 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.562 * [backup-simplify]: Simplify (- 0) into 0 0.563 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.563 * [backup-simplify]: Simplify (sqrt 0) into 0 0.563 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.564 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 0.564 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.564 * [taylor]: Taking taylor expansion of 2.0 in re 0.564 * [backup-simplify]: Simplify 2.0 into 2.0 0.564 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.565 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.565 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 0.565 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.565 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.565 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.565 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.565 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.565 * [taylor]: Taking taylor expansion of re in re 0.565 * [backup-simplify]: Simplify 0 into 0 0.565 * [backup-simplify]: Simplify 1 into 1 0.565 * [backup-simplify]: Simplify (* 1 1) into 1 0.566 * [backup-simplify]: Simplify (/ 1 1) into 1 0.566 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.566 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.566 * [taylor]: Taking taylor expansion of im in re 0.566 * [backup-simplify]: Simplify im into im 0.566 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.566 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.566 * [backup-simplify]: Simplify (+ 1 0) into 1 0.567 * [backup-simplify]: Simplify (sqrt 1) into 1 0.567 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.568 * [backup-simplify]: Simplify (+ 0 0) into 0 0.569 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.569 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.569 * [taylor]: Taking taylor expansion of re in re 0.569 * [backup-simplify]: Simplify 0 into 0 0.569 * [backup-simplify]: Simplify 1 into 1 0.570 * [backup-simplify]: Simplify (/ 1 1) into 1 0.570 * [backup-simplify]: Simplify (- 1) into -1 0.570 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.571 * [backup-simplify]: Simplify (- 0) into 0 0.572 * [backup-simplify]: Simplify (+ 0 0) into 0 0.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.574 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.575 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.576 * [backup-simplify]: Simplify (- 0) into 0 0.576 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.577 * [backup-simplify]: Simplify (sqrt 0) into 0 0.577 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.578 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.578 * [taylor]: Taking taylor expansion of 0 in im 0.578 * [backup-simplify]: Simplify 0 into 0 0.579 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 0.579 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.579 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.579 * [taylor]: Taking taylor expansion of +nan.0 in im 0.579 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.579 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.579 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.579 * [taylor]: Taking taylor expansion of 2.0 in im 0.579 * [backup-simplify]: Simplify 2.0 into 2.0 0.579 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.580 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.580 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.580 * [taylor]: Taking taylor expansion of im in im 0.580 * [backup-simplify]: Simplify 0 into 0 0.580 * [backup-simplify]: Simplify 1 into 1 0.580 * [backup-simplify]: Simplify (* 1 1) into 1 0.581 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.582 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.584 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.584 * [backup-simplify]: Simplify (- 0) into 0 0.584 * [backup-simplify]: Simplify 0 into 0 0.584 * [backup-simplify]: Simplify 0 into 0 0.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.586 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.587 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.587 * [backup-simplify]: Simplify (+ 0 0) into 0 0.587 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.589 * [backup-simplify]: Simplify (- 0) into 0 0.589 * [backup-simplify]: Simplify (+ 0 0) into 0 0.590 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 0.591 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.592 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) 0.592 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.592 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.592 * [taylor]: Taking taylor expansion of +nan.0 in im 0.592 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.592 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.592 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.592 * [taylor]: Taking taylor expansion of 2.0 in im 0.592 * [backup-simplify]: Simplify 2.0 into 2.0 0.593 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.593 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.593 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.593 * [taylor]: Taking taylor expansion of im in im 0.593 * [backup-simplify]: Simplify 0 into 0 0.593 * [backup-simplify]: Simplify 1 into 1 0.594 * [backup-simplify]: Simplify (* 1 1) into 1 0.594 * [backup-simplify]: Simplify (* 1 1) into 1 0.595 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.596 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.597 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.600 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.601 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.602 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.603 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.603 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.604 * [backup-simplify]: Simplify (- 0) into 0 0.604 * [backup-simplify]: Simplify 0 into 0 0.604 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.605 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.606 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.606 * [backup-simplify]: Simplify (- 0) into 0 0.606 * [backup-simplify]: Simplify 0 into 0 0.606 * [backup-simplify]: Simplify 0 into 0 0.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.608 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.608 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.608 * [backup-simplify]: Simplify (+ 0 0) into 0 0.609 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 0.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.610 * [backup-simplify]: Simplify (- 0) into 0 0.610 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 0.611 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4))))) 0.611 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.612 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))))) (+ (* 0 (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) 0.612 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.612 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.612 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.612 * [taylor]: Taking taylor expansion of +nan.0 in im 0.612 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.612 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.612 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.612 * [taylor]: Taking taylor expansion of 2.0 in im 0.612 * [backup-simplify]: Simplify 2.0 into 2.0 0.613 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.613 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.613 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.613 * [taylor]: Taking taylor expansion of im in im 0.613 * [backup-simplify]: Simplify 0 into 0 0.613 * [backup-simplify]: Simplify 1 into 1 0.613 * [backup-simplify]: Simplify (* 1 1) into 1 0.613 * [backup-simplify]: Simplify (* 1 1) into 1 0.614 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.614 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.614 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.614 * [taylor]: Taking taylor expansion of +nan.0 in im 0.614 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.614 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.614 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.614 * [taylor]: Taking taylor expansion of 2.0 in im 0.614 * [backup-simplify]: Simplify 2.0 into 2.0 0.614 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.615 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.615 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.615 * [taylor]: Taking taylor expansion of im in im 0.615 * [backup-simplify]: Simplify 0 into 0 0.615 * [backup-simplify]: Simplify 1 into 1 0.615 * [backup-simplify]: Simplify (* 1 1) into 1 0.615 * [backup-simplify]: Simplify (* 1 1) into 1 0.616 * [backup-simplify]: Simplify (* 1 1) into 1 0.616 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.617 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.618 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.619 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.620 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.621 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.622 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.624 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.624 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.625 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.626 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.627 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.632 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.632 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.634 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.639 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.640 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.643 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.647 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.648 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.649 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.650 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 0.650 * [backup-simplify]: Simplify (- 0) into 0 0.650 * [backup-simplify]: Simplify (+ 0 0) into 0 0.650 * [backup-simplify]: Simplify (- 0) into 0 0.650 * [backup-simplify]: Simplify 0 into 0 0.650 * [backup-simplify]: Simplify 0 into 0 0.650 * * * [progress]: simplifying candidates 0.650 * * * * [progress]: [ 1 / 67 ] simplifiying candidate # 0.651 * * * * [progress]: [ 2 / 67 ] simplifiying candidate # 0.651 * * * * [progress]: [ 3 / 67 ] simplifiying candidate # 0.651 * * * * [progress]: [ 4 / 67 ] simplifiying candidate # 0.651 * * * * [progress]: [ 5 / 67 ] simplifiying candidate # 0.651 * * * * [progress]: [ 6 / 67 ] simplifiying candidate # 0.651 * * * * [progress]: [ 7 / 67 ] simplifiying candidate # 0.651 * * * * [progress]: [ 8 / 67 ] simplifiying candidate # 0.651 * * * * [progress]: [ 9 / 67 ] simplifiying candidate # 0.651 * * * * [progress]: [ 10 / 67 ] simplifiying candidate # 0.651 * * * * [progress]: [ 11 / 67 ] simplifiying candidate # 0.651 * * * * [progress]: [ 12 / 67 ] simplifiying candidate # 0.651 * * * * [progress]: [ 13 / 67 ] simplifiying candidate # 0.651 * * * * [progress]: [ 14 / 67 ] simplifiying candidate # 0.651 * * * * [progress]: [ 15 / 67 ] simplifiying candidate # 0.651 * * * * [progress]: [ 16 / 67 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))) re)))))> 0.651 * * * * [progress]: [ 17 / 67 ] simplifiying candidate # 0.651 * * * * [progress]: [ 18 / 67 ] simplifiying candidate # 0.651 * * * * [progress]: [ 19 / 67 ] simplifiying candidate # 0.651 * * * * [progress]: [ 20 / 67 ] simplifiying candidate # 0.651 * * * * [progress]: [ 21 / 67 ] simplifiying candidate # 0.651 * * * * [progress]: [ 22 / 67 ] simplifiying candidate # 0.651 * * * * [progress]: [ 23 / 67 ] simplifiying candidate # 0.651 * * * * [progress]: [ 24 / 67 ] simplifiying candidate # 0.651 * * * * [progress]: [ 25 / 67 ] simplifiying candidate # 0.652 * * * * [progress]: [ 26 / 67 ] simplifiying candidate # 0.652 * * * * [progress]: [ 27 / 67 ] simplifiying candidate # 0.652 * * * * [progress]: [ 28 / 67 ] simplifiying candidate #real (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)))))))> 0.652 * * * * [progress]: [ 29 / 67 ] simplifiying candidate # 0.652 * * * * [progress]: [ 30 / 67 ] simplifiying candidate # 0.652 * * * * [progress]: [ 31 / 67 ] simplifiying candidate # 0.652 * * * * [progress]: [ 32 / 67 ] simplifiying candidate # 0.652 * * * * [progress]: [ 33 / 67 ] simplifiying candidate # 0.652 * * * * [progress]: [ 34 / 67 ] simplifiying candidate # 0.652 * * * * [progress]: [ 35 / 67 ] simplifiying candidate # 0.652 * * * * [progress]: [ 36 / 67 ] simplifiying candidate # 0.652 * * * * [progress]: [ 37 / 67 ] simplifiying candidate # 0.652 * * * * [progress]: [ 38 / 67 ] simplifiying candidate # 0.652 * * * * [progress]: [ 39 / 67 ] simplifiying candidate # 0.652 * * * * [progress]: [ 40 / 67 ] simplifiying candidate #real (real->posit16 (+ (* re re) (* im im))))) re)))))> 0.652 * * * * [progress]: [ 41 / 67 ] simplifiying candidate # 0.652 * * * * [progress]: [ 42 / 67 ] simplifiying candidate # 0.652 * * * * [progress]: [ 43 / 67 ] simplifiying candidate # 0.652 * * * * [progress]: [ 44 / 67 ] simplifiying candidate # 0.652 * * * * [progress]: [ 45 / 67 ] simplifiying candidate # 0.652 * * * * [progress]: [ 46 / 67 ] simplifiying candidate # 0.652 * * * * [progress]: [ 47 / 67 ] simplifiying candidate # 0.652 * * * * [progress]: [ 48 / 67 ] simplifiying candidate # 0.652 * * * * [progress]: [ 49 / 67 ] simplifiying candidate # 0.653 * * * * [progress]: [ 50 / 67 ] simplifiying candidate # 0.653 * * * * [progress]: [ 51 / 67 ] simplifiying candidate # 0.653 * * * * [progress]: [ 52 / 67 ] simplifiying candidate # 0.653 * * * * [progress]: [ 53 / 67 ] simplifiying candidate # 0.653 * * * * [progress]: [ 54 / 67 ] simplifiying candidate # 0.653 * * * * [progress]: [ 55 / 67 ] simplifiying candidate #real (real->posit16 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> 0.653 * * * * [progress]: [ 56 / 67 ] simplifiying candidate # 0.653 * * * * [progress]: [ 57 / 67 ] simplifiying candidate # 0.653 * * * * [progress]: [ 58 / 67 ] simplifiying candidate # 0.653 * * * * [progress]: [ 59 / 67 ] simplifiying candidate # 0.653 * * * * [progress]: [ 60 / 67 ] simplifiying candidate # 0.653 * * * * [progress]: [ 61 / 67 ] simplifiying candidate # 0.653 * * * * [progress]: [ 62 / 67 ] simplifiying candidate # 0.653 * * * * [progress]: [ 63 / 67 ] simplifiying candidate # 0.653 * * * * [progress]: [ 64 / 67 ] simplifiying candidate # 0.653 * * * * [progress]: [ 65 / 67 ] simplifiying candidate # 0.653 * * * * [progress]: [ 66 / 67 ] simplifiying candidate # 0.653 * * * * [progress]: [ 67 / 67 ] simplifiying candidate # 0.654 * [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))) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) (real->posit16 (+ (* re re) (* im im))) (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (* (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (real->posit16 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) im re (* -1 re) (+ re im) (* 2 re) 0 (+ (pow im 2) (pow re 2)) (+ (pow im 2) (pow re 2)) (+ (pow im 2) (pow re 2)) (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 0 0.655 * * [simplify]: iteration 0: 112 enodes 0.680 * * [simplify]: iteration 1: 280 enodes 0.772 * * [simplify]: iteration 2: 814 enodes 1.218 * * [simplify]: iteration 3: 2969 enodes 2.143 * * [simplify]: iteration complete: 5000 enodes 2.143 * * [simplify]: Extracting #0: cost 59 inf + 0 2.144 * * [simplify]: Extracting #1: cost 252 inf + 88 2.147 * * [simplify]: Extracting #2: cost 1186 inf + 4034 2.159 * * [simplify]: Extracting #3: cost 1151 inf + 61940 2.217 * * [simplify]: Extracting #4: cost 323 inf + 192836 2.280 * * [simplify]: Extracting #5: cost 88 inf + 256121 2.343 * * [simplify]: Extracting #6: cost 11 inf + 270705 2.398 * * [simplify]: Extracting #7: cost 0 inf + 273848 2.462 * [simplify]: Simplified to: (log (sqrt (+ (* im im) (* re re)))) (exp (sqrt (+ (* im im) (* re re)))) (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re)))) (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (fabs (cbrt (+ (* im im) (* re re)))) (sqrt (cbrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) 1 (sqrt (+ (* im im) (* re re))) (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* (* im im) (* im im)) (* im im)))) (sqrt (- (* (* im im) (* im im)) (* (* re re) (- (* im im) (* re re))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (* (- re im) (+ re im))) 1/2 (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (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))) (+ (- (* re re) (* (sqrt (+ (* im im) (* re re))) re)) (+ (* im im) (* re re))) (* im im) (- (sqrt (+ (* im im) (* re re))) re) (+ (sqrt (+ (* im im) (* re re))) re) (real->posit16 (+ (sqrt (+ (* im im) (* re re))) re)) (exp (+ (* im im) (* re re))) (log (+ (* im im) (* re re))) (exp (+ (* im im) (* re re))) (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (* im im) (* re re)))) (cbrt (+ (* im im) (* re re))) (* (+ (* im im) (* re re)) (* (+ (* im im) (* re re)) (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (sqrt (+ (* im im) (* re re))) (+ (* (* re (* re re)) (* re (* re re))) (* (* (* im im) (* im im)) (* im im))) (- (* (* im im) (* im im)) (* (* re re) (- (* im im) (* re re)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (* (- re im) (+ re im)) (real->posit16 (+ (* im im) (* re re))) (log (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))) (exp (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))) (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re))))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))) (* (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)) (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))) (sqrt 2.0) (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (sqrt (* (+ (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* re (* re re))) 2.0)) (sqrt (+ (- (* re re) (* (sqrt (+ (* im im) (* re re))) re)) (+ (* im im) (* re re)))) (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))) (real->posit16 (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))) im re (- re) (+ re im) (* re 2) 0 (+ (* im im) (* re re)) (+ (* im im) (* re re)) (+ (* im im) (* re re)) (* (* +nan.0 (sqrt 2.0)) (+ (- (* re re)) (- im re))) (+ (* (- (sqrt 2.0)) +nan.0) (* +nan.0 (- (/ (sqrt 2.0) re) (/ (sqrt 2.0) (* re re))))) 0 2.471 * * * [progress]: adding candidates to table 2.852 * * [progress]: iteration 2 / 4 2.852 * * * [progress]: picking best candidate 2.877 * * * * [pick]: Picked # 2.877 * * * [progress]: localizing error 2.912 * * * [progress]: generating rewritten candidates 2.912 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1 2 1) 2.918 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 2 1) 2.924 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1 2) 2.956 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 2) 2.988 * * * [progress]: generating series expansions 2.988 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1 2 1) 2.989 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 2.989 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 2.989 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 2.989 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 2.989 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.989 * [taylor]: Taking taylor expansion of im in im 2.989 * [backup-simplify]: Simplify 0 into 0 2.989 * [backup-simplify]: Simplify 1 into 1 2.989 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.989 * [taylor]: Taking taylor expansion of re in im 2.989 * [backup-simplify]: Simplify re into re 2.989 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.989 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 2.989 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.989 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.989 * [backup-simplify]: Simplify (+ 0 0) into 0 2.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.989 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 2.990 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 2.990 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.990 * [taylor]: Taking taylor expansion of im in re 2.990 * [backup-simplify]: Simplify im into im 2.990 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.990 * [taylor]: Taking taylor expansion of re in re 2.990 * [backup-simplify]: Simplify 0 into 0 2.990 * [backup-simplify]: Simplify 1 into 1 2.990 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.990 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 2.990 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.990 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.990 * [backup-simplify]: Simplify (+ 0 0) into 0 2.990 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.990 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 2.990 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 2.990 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.990 * [taylor]: Taking taylor expansion of im in re 2.990 * [backup-simplify]: Simplify im into im 2.990 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.990 * [taylor]: Taking taylor expansion of re in re 2.990 * [backup-simplify]: Simplify 0 into 0 2.990 * [backup-simplify]: Simplify 1 into 1 2.990 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.990 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 2.990 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.990 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.991 * [backup-simplify]: Simplify (+ 0 0) into 0 2.991 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.991 * [taylor]: Taking taylor expansion of im in im 2.991 * [backup-simplify]: Simplify 0 into 0 2.991 * [backup-simplify]: Simplify 1 into 1 2.991 * [backup-simplify]: Simplify 0 into 0 2.991 * [taylor]: Taking taylor expansion of 0 in im 2.991 * [backup-simplify]: Simplify 0 into 0 2.991 * [backup-simplify]: Simplify 0 into 0 2.991 * [backup-simplify]: Simplify 1 into 1 2.991 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.992 * [backup-simplify]: Simplify (* 1 1) into 1 2.992 * [backup-simplify]: Simplify (+ 0 1) into 1 2.992 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.992 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.992 * [taylor]: Taking taylor expansion of 1/2 in im 2.992 * [backup-simplify]: Simplify 1/2 into 1/2 2.992 * [taylor]: Taking taylor expansion of im in im 2.992 * [backup-simplify]: Simplify 0 into 0 2.992 * [backup-simplify]: Simplify 1 into 1 2.993 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.993 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.993 * [backup-simplify]: Simplify 0 into 0 2.993 * [backup-simplify]: Simplify 0 into 0 2.993 * [backup-simplify]: Simplify 0 into 0 2.994 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.994 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.994 * [backup-simplify]: Simplify (+ 0 0) into 0 2.995 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.995 * [taylor]: Taking taylor expansion of 0 in im 2.995 * [backup-simplify]: Simplify 0 into 0 2.995 * [backup-simplify]: Simplify 0 into 0 2.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.995 * [backup-simplify]: Simplify 0 into 0 2.995 * [backup-simplify]: Simplify 0 into 0 2.995 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.995 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 2.995 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 2.995 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.995 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.995 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.995 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.996 * [taylor]: Taking taylor expansion of re in im 2.996 * [backup-simplify]: Simplify re into re 2.996 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.996 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.996 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.996 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.996 * [taylor]: Taking taylor expansion of im in im 2.996 * [backup-simplify]: Simplify 0 into 0 2.996 * [backup-simplify]: Simplify 1 into 1 2.996 * [backup-simplify]: Simplify (* 1 1) into 1 2.996 * [backup-simplify]: Simplify (/ 1 1) into 1 2.996 * [backup-simplify]: Simplify (+ 0 1) into 1 2.997 * [backup-simplify]: Simplify (sqrt 1) into 1 2.997 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.998 * [backup-simplify]: Simplify (+ 0 0) into 0 2.998 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.998 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.998 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.998 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.998 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.998 * [taylor]: Taking taylor expansion of re in re 2.998 * [backup-simplify]: Simplify 0 into 0 2.998 * [backup-simplify]: Simplify 1 into 1 2.999 * [backup-simplify]: Simplify (* 1 1) into 1 2.999 * [backup-simplify]: Simplify (/ 1 1) into 1 2.999 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.999 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.999 * [taylor]: Taking taylor expansion of im in re 2.999 * [backup-simplify]: Simplify im into im 2.999 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.999 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.999 * [backup-simplify]: Simplify (+ 1 0) into 1 2.999 * [backup-simplify]: Simplify (sqrt 1) into 1 3.000 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.001 * [backup-simplify]: Simplify (+ 0 0) into 0 3.001 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.001 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.001 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.001 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.001 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.001 * [taylor]: Taking taylor expansion of re in re 3.001 * [backup-simplify]: Simplify 0 into 0 3.001 * [backup-simplify]: Simplify 1 into 1 3.001 * [backup-simplify]: Simplify (* 1 1) into 1 3.002 * [backup-simplify]: Simplify (/ 1 1) into 1 3.002 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.002 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.002 * [taylor]: Taking taylor expansion of im in re 3.002 * [backup-simplify]: Simplify im into im 3.002 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.002 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.002 * [backup-simplify]: Simplify (+ 1 0) into 1 3.002 * [backup-simplify]: Simplify (sqrt 1) into 1 3.003 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.004 * [backup-simplify]: Simplify (+ 0 0) into 0 3.004 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.004 * [taylor]: Taking taylor expansion of 1 in im 3.004 * [backup-simplify]: Simplify 1 into 1 3.004 * [taylor]: Taking taylor expansion of 0 in im 3.004 * [backup-simplify]: Simplify 0 into 0 3.004 * [backup-simplify]: Simplify 1 into 1 3.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.005 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.006 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.006 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.006 * [taylor]: Taking taylor expansion of 1/2 in im 3.006 * [backup-simplify]: Simplify 1/2 into 1/2 3.006 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.006 * [taylor]: Taking taylor expansion of im in im 3.006 * [backup-simplify]: Simplify 0 into 0 3.006 * [backup-simplify]: Simplify 1 into 1 3.006 * [backup-simplify]: Simplify (* 1 1) into 1 3.007 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.007 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.008 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.008 * [backup-simplify]: Simplify 0 into 0 3.008 * [backup-simplify]: Simplify 0 into 0 3.008 * [backup-simplify]: Simplify 0 into 0 3.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.009 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.009 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.009 * [backup-simplify]: Simplify (+ 0 0) into 0 3.010 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.010 * [taylor]: Taking taylor expansion of 0 in im 3.010 * [backup-simplify]: Simplify 0 into 0 3.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.011 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.011 * [backup-simplify]: Simplify 0 into 0 3.011 * [backup-simplify]: Simplify 0 into 0 3.011 * [backup-simplify]: Simplify 0 into 0 3.011 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 3.012 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.012 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 3.012 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.012 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.012 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.012 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.012 * [taylor]: Taking taylor expansion of re in im 3.012 * [backup-simplify]: Simplify re into re 3.012 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.012 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.012 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.012 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.012 * [taylor]: Taking taylor expansion of im in im 3.012 * [backup-simplify]: Simplify 0 into 0 3.012 * [backup-simplify]: Simplify 1 into 1 3.012 * [backup-simplify]: Simplify (* 1 1) into 1 3.013 * [backup-simplify]: Simplify (/ 1 1) into 1 3.013 * [backup-simplify]: Simplify (+ 0 1) into 1 3.013 * [backup-simplify]: Simplify (sqrt 1) into 1 3.014 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.015 * [backup-simplify]: Simplify (+ 0 0) into 0 3.016 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.016 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.016 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.016 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.016 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.016 * [taylor]: Taking taylor expansion of re in re 3.016 * [backup-simplify]: Simplify 0 into 0 3.016 * [backup-simplify]: Simplify 1 into 1 3.016 * [backup-simplify]: Simplify (* 1 1) into 1 3.016 * [backup-simplify]: Simplify (/ 1 1) into 1 3.016 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.017 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.017 * [taylor]: Taking taylor expansion of im in re 3.017 * [backup-simplify]: Simplify im into im 3.017 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.017 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.017 * [backup-simplify]: Simplify (+ 1 0) into 1 3.017 * [backup-simplify]: Simplify (sqrt 1) into 1 3.021 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.022 * [backup-simplify]: Simplify (+ 0 0) into 0 3.023 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.023 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.023 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.023 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.023 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.023 * [taylor]: Taking taylor expansion of re in re 3.023 * [backup-simplify]: Simplify 0 into 0 3.023 * [backup-simplify]: Simplify 1 into 1 3.023 * [backup-simplify]: Simplify (* 1 1) into 1 3.024 * [backup-simplify]: Simplify (/ 1 1) into 1 3.024 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.024 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.024 * [taylor]: Taking taylor expansion of im in re 3.024 * [backup-simplify]: Simplify im into im 3.024 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.024 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.024 * [backup-simplify]: Simplify (+ 1 0) into 1 3.025 * [backup-simplify]: Simplify (sqrt 1) into 1 3.025 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.026 * [backup-simplify]: Simplify (+ 0 0) into 0 3.027 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.027 * [taylor]: Taking taylor expansion of 1 in im 3.027 * [backup-simplify]: Simplify 1 into 1 3.027 * [taylor]: Taking taylor expansion of 0 in im 3.027 * [backup-simplify]: Simplify 0 into 0 3.027 * [backup-simplify]: Simplify 1 into 1 3.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.029 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.030 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.030 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.030 * [taylor]: Taking taylor expansion of 1/2 in im 3.030 * [backup-simplify]: Simplify 1/2 into 1/2 3.030 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.030 * [taylor]: Taking taylor expansion of im in im 3.030 * [backup-simplify]: Simplify 0 into 0 3.030 * [backup-simplify]: Simplify 1 into 1 3.030 * [backup-simplify]: Simplify (* 1 1) into 1 3.031 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.031 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.032 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.032 * [backup-simplify]: Simplify 0 into 0 3.032 * [backup-simplify]: Simplify 0 into 0 3.032 * [backup-simplify]: Simplify 0 into 0 3.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.034 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.034 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.035 * [backup-simplify]: Simplify (+ 0 0) into 0 3.035 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.035 * [taylor]: Taking taylor expansion of 0 in im 3.035 * [backup-simplify]: Simplify 0 into 0 3.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.037 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.037 * [backup-simplify]: Simplify 0 into 0 3.037 * [backup-simplify]: Simplify 0 into 0 3.037 * [backup-simplify]: Simplify 0 into 0 3.037 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 3.037 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 2 1) 3.037 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 3.037 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 3.037 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 3.038 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 3.038 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.038 * [taylor]: Taking taylor expansion of im in im 3.038 * [backup-simplify]: Simplify 0 into 0 3.038 * [backup-simplify]: Simplify 1 into 1 3.038 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.038 * [taylor]: Taking taylor expansion of re in im 3.038 * [backup-simplify]: Simplify re into re 3.038 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.038 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 3.038 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.038 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.038 * [backup-simplify]: Simplify (+ 0 0) into 0 3.038 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.039 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.039 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.039 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.039 * [taylor]: Taking taylor expansion of im in re 3.039 * [backup-simplify]: Simplify im into im 3.039 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.039 * [taylor]: Taking taylor expansion of re in re 3.039 * [backup-simplify]: Simplify 0 into 0 3.039 * [backup-simplify]: Simplify 1 into 1 3.039 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.039 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.039 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.039 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.039 * [backup-simplify]: Simplify (+ 0 0) into 0 3.039 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.040 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.040 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.040 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.040 * [taylor]: Taking taylor expansion of im in re 3.040 * [backup-simplify]: Simplify im into im 3.040 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.040 * [taylor]: Taking taylor expansion of re in re 3.040 * [backup-simplify]: Simplify 0 into 0 3.040 * [backup-simplify]: Simplify 1 into 1 3.040 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.040 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.040 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.040 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.040 * [backup-simplify]: Simplify (+ 0 0) into 0 3.040 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.041 * [taylor]: Taking taylor expansion of im in im 3.041 * [backup-simplify]: Simplify 0 into 0 3.041 * [backup-simplify]: Simplify 1 into 1 3.041 * [backup-simplify]: Simplify 0 into 0 3.041 * [taylor]: Taking taylor expansion of 0 in im 3.041 * [backup-simplify]: Simplify 0 into 0 3.041 * [backup-simplify]: Simplify 0 into 0 3.041 * [backup-simplify]: Simplify 1 into 1 3.041 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.042 * [backup-simplify]: Simplify (* 1 1) into 1 3.042 * [backup-simplify]: Simplify (+ 0 1) into 1 3.043 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.043 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.043 * [taylor]: Taking taylor expansion of 1/2 in im 3.043 * [backup-simplify]: Simplify 1/2 into 1/2 3.043 * [taylor]: Taking taylor expansion of im in im 3.043 * [backup-simplify]: Simplify 0 into 0 3.043 * [backup-simplify]: Simplify 1 into 1 3.043 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.044 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.044 * [backup-simplify]: Simplify 0 into 0 3.044 * [backup-simplify]: Simplify 0 into 0 3.044 * [backup-simplify]: Simplify 0 into 0 3.045 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.046 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.046 * [backup-simplify]: Simplify (+ 0 0) into 0 3.046 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.046 * [taylor]: Taking taylor expansion of 0 in im 3.046 * [backup-simplify]: Simplify 0 into 0 3.046 * [backup-simplify]: Simplify 0 into 0 3.047 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.047 * [backup-simplify]: Simplify 0 into 0 3.047 * [backup-simplify]: Simplify 0 into 0 3.047 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 3.047 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.047 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 3.047 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.048 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.048 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.048 * [taylor]: Taking taylor expansion of re in im 3.048 * [backup-simplify]: Simplify re into re 3.048 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.048 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.048 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.048 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.048 * [taylor]: Taking taylor expansion of im in im 3.048 * [backup-simplify]: Simplify 0 into 0 3.048 * [backup-simplify]: Simplify 1 into 1 3.048 * [backup-simplify]: Simplify (* 1 1) into 1 3.049 * [backup-simplify]: Simplify (/ 1 1) into 1 3.049 * [backup-simplify]: Simplify (+ 0 1) into 1 3.049 * [backup-simplify]: Simplify (sqrt 1) into 1 3.050 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.051 * [backup-simplify]: Simplify (+ 0 0) into 0 3.051 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.052 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.052 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.052 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.052 * [taylor]: Taking taylor expansion of re in re 3.052 * [backup-simplify]: Simplify 0 into 0 3.052 * [backup-simplify]: Simplify 1 into 1 3.052 * [backup-simplify]: Simplify (* 1 1) into 1 3.052 * [backup-simplify]: Simplify (/ 1 1) into 1 3.052 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.052 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.052 * [taylor]: Taking taylor expansion of im in re 3.052 * [backup-simplify]: Simplify im into im 3.053 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.053 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.053 * [backup-simplify]: Simplify (+ 1 0) into 1 3.054 * [backup-simplify]: Simplify (sqrt 1) into 1 3.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.055 * [backup-simplify]: Simplify (+ 0 0) into 0 3.056 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.056 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.056 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.056 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.056 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.056 * [taylor]: Taking taylor expansion of re in re 3.056 * [backup-simplify]: Simplify 0 into 0 3.056 * [backup-simplify]: Simplify 1 into 1 3.056 * [backup-simplify]: Simplify (* 1 1) into 1 3.057 * [backup-simplify]: Simplify (/ 1 1) into 1 3.057 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.057 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.057 * [taylor]: Taking taylor expansion of im in re 3.057 * [backup-simplify]: Simplify im into im 3.057 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.057 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.057 * [backup-simplify]: Simplify (+ 1 0) into 1 3.058 * [backup-simplify]: Simplify (sqrt 1) into 1 3.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.059 * [backup-simplify]: Simplify (+ 0 0) into 0 3.060 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.060 * [taylor]: Taking taylor expansion of 1 in im 3.060 * [backup-simplify]: Simplify 1 into 1 3.060 * [taylor]: Taking taylor expansion of 0 in im 3.060 * [backup-simplify]: Simplify 0 into 0 3.060 * [backup-simplify]: Simplify 1 into 1 3.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.062 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.063 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.063 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.063 * [taylor]: Taking taylor expansion of 1/2 in im 3.063 * [backup-simplify]: Simplify 1/2 into 1/2 3.063 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.064 * [taylor]: Taking taylor expansion of im in im 3.064 * [backup-simplify]: Simplify 0 into 0 3.064 * [backup-simplify]: Simplify 1 into 1 3.064 * [backup-simplify]: Simplify (* 1 1) into 1 3.064 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.065 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.066 * [backup-simplify]: Simplify 0 into 0 3.066 * [backup-simplify]: Simplify 0 into 0 3.066 * [backup-simplify]: Simplify 0 into 0 3.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.068 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.068 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.068 * [backup-simplify]: Simplify (+ 0 0) into 0 3.069 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.069 * [taylor]: Taking taylor expansion of 0 in im 3.069 * [backup-simplify]: Simplify 0 into 0 3.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.071 * [backup-simplify]: Simplify 0 into 0 3.071 * [backup-simplify]: Simplify 0 into 0 3.071 * [backup-simplify]: Simplify 0 into 0 3.071 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 3.071 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.071 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 3.071 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.071 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.071 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.071 * [taylor]: Taking taylor expansion of re in im 3.071 * [backup-simplify]: Simplify re into re 3.071 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.072 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.072 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.072 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.072 * [taylor]: Taking taylor expansion of im in im 3.072 * [backup-simplify]: Simplify 0 into 0 3.072 * [backup-simplify]: Simplify 1 into 1 3.072 * [backup-simplify]: Simplify (* 1 1) into 1 3.072 * [backup-simplify]: Simplify (/ 1 1) into 1 3.073 * [backup-simplify]: Simplify (+ 0 1) into 1 3.073 * [backup-simplify]: Simplify (sqrt 1) into 1 3.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.075 * [backup-simplify]: Simplify (+ 0 0) into 0 3.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.075 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.075 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.075 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.075 * [taylor]: Taking taylor expansion of re in re 3.075 * [backup-simplify]: Simplify 0 into 0 3.075 * [backup-simplify]: Simplify 1 into 1 3.076 * [backup-simplify]: Simplify (* 1 1) into 1 3.076 * [backup-simplify]: Simplify (/ 1 1) into 1 3.076 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.076 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.076 * [taylor]: Taking taylor expansion of im in re 3.076 * [backup-simplify]: Simplify im into im 3.076 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.076 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.077 * [backup-simplify]: Simplify (+ 1 0) into 1 3.077 * [backup-simplify]: Simplify (sqrt 1) into 1 3.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.079 * [backup-simplify]: Simplify (+ 0 0) into 0 3.079 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.079 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.079 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.079 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.079 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.079 * [taylor]: Taking taylor expansion of re in re 3.079 * [backup-simplify]: Simplify 0 into 0 3.079 * [backup-simplify]: Simplify 1 into 1 3.080 * [backup-simplify]: Simplify (* 1 1) into 1 3.080 * [backup-simplify]: Simplify (/ 1 1) into 1 3.080 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.080 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.080 * [taylor]: Taking taylor expansion of im in re 3.080 * [backup-simplify]: Simplify im into im 3.080 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.080 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.081 * [backup-simplify]: Simplify (+ 1 0) into 1 3.081 * [backup-simplify]: Simplify (sqrt 1) into 1 3.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.083 * [backup-simplify]: Simplify (+ 0 0) into 0 3.083 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.083 * [taylor]: Taking taylor expansion of 1 in im 3.083 * [backup-simplify]: Simplify 1 into 1 3.083 * [taylor]: Taking taylor expansion of 0 in im 3.083 * [backup-simplify]: Simplify 0 into 0 3.083 * [backup-simplify]: Simplify 1 into 1 3.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.085 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.086 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.086 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.086 * [taylor]: Taking taylor expansion of 1/2 in im 3.086 * [backup-simplify]: Simplify 1/2 into 1/2 3.086 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.086 * [taylor]: Taking taylor expansion of im in im 3.086 * [backup-simplify]: Simplify 0 into 0 3.086 * [backup-simplify]: Simplify 1 into 1 3.087 * [backup-simplify]: Simplify (* 1 1) into 1 3.087 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.089 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.089 * [backup-simplify]: Simplify 0 into 0 3.089 * [backup-simplify]: Simplify 0 into 0 3.089 * [backup-simplify]: Simplify 0 into 0 3.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.091 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.091 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.091 * [backup-simplify]: Simplify (+ 0 0) into 0 3.092 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.092 * [taylor]: Taking taylor expansion of 0 in im 3.092 * [backup-simplify]: Simplify 0 into 0 3.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.093 * [backup-simplify]: Simplify 0 into 0 3.093 * [backup-simplify]: Simplify 0 into 0 3.093 * [backup-simplify]: Simplify 0 into 0 3.093 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 3.094 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1 2) 3.094 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2)))) 3.094 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0 3.094 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 3.094 * [taylor]: Taking taylor expansion of re in im 3.094 * [backup-simplify]: Simplify re into re 3.094 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 3.094 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 3.094 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.094 * [taylor]: Taking taylor expansion of im in im 3.094 * [backup-simplify]: Simplify 0 into 0 3.094 * [backup-simplify]: Simplify 1 into 1 3.094 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.094 * [taylor]: Taking taylor expansion of re in im 3.094 * [backup-simplify]: Simplify re into re 3.094 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.094 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 3.094 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.094 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.095 * [backup-simplify]: Simplify (+ 0 0) into 0 3.095 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.095 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 3.095 * [taylor]: Taking taylor expansion of re in re 3.095 * [backup-simplify]: Simplify 0 into 0 3.095 * [backup-simplify]: Simplify 1 into 1 3.095 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.095 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.095 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.095 * [taylor]: Taking taylor expansion of im in re 3.095 * [backup-simplify]: Simplify im into im 3.095 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.095 * [taylor]: Taking taylor expansion of re in re 3.095 * [backup-simplify]: Simplify 0 into 0 3.095 * [backup-simplify]: Simplify 1 into 1 3.095 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.095 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.095 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.095 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.096 * [backup-simplify]: Simplify (+ 0 0) into 0 3.096 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.096 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 3.096 * [taylor]: Taking taylor expansion of re in re 3.096 * [backup-simplify]: Simplify 0 into 0 3.096 * [backup-simplify]: Simplify 1 into 1 3.096 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.096 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.096 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.096 * [taylor]: Taking taylor expansion of im in re 3.096 * [backup-simplify]: Simplify im into im 3.096 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.096 * [taylor]: Taking taylor expansion of re in re 3.096 * [backup-simplify]: Simplify 0 into 0 3.096 * [backup-simplify]: Simplify 1 into 1 3.096 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.096 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.096 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.096 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.097 * [backup-simplify]: Simplify (+ 0 0) into 0 3.097 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.097 * [backup-simplify]: Simplify (+ 0 im) into im 3.097 * [taylor]: Taking taylor expansion of im in im 3.097 * [backup-simplify]: Simplify 0 into 0 3.097 * [backup-simplify]: Simplify 1 into 1 3.097 * [backup-simplify]: Simplify 0 into 0 3.097 * [backup-simplify]: Simplify (+ 1 0) into 1 3.097 * [taylor]: Taking taylor expansion of 1 in im 3.097 * [backup-simplify]: Simplify 1 into 1 3.098 * [backup-simplify]: Simplify 1 into 1 3.098 * [backup-simplify]: Simplify 1 into 1 3.098 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.098 * [backup-simplify]: Simplify (* 1 1) into 1 3.099 * [backup-simplify]: Simplify (+ 0 1) into 1 3.099 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.099 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 3.099 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 3.100 * [taylor]: Taking taylor expansion of 1/2 in im 3.100 * [backup-simplify]: Simplify 1/2 into 1/2 3.100 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.100 * [taylor]: Taking taylor expansion of im in im 3.100 * [backup-simplify]: Simplify 0 into 0 3.100 * [backup-simplify]: Simplify 1 into 1 3.100 * [backup-simplify]: Simplify (/ 1 1) into 1 3.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.101 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.101 * [backup-simplify]: Simplify 0 into 0 3.101 * [backup-simplify]: Simplify 0 into 0 3.101 * [backup-simplify]: Simplify 0 into 0 3.102 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.103 * [backup-simplify]: Simplify (+ 0 0) into 0 3.103 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.104 * [backup-simplify]: Simplify (+ 0 0) into 0 3.104 * [taylor]: Taking taylor expansion of 0 in im 3.104 * [backup-simplify]: Simplify 0 into 0 3.104 * [backup-simplify]: Simplify 0 into 0 3.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.106 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.106 * [backup-simplify]: Simplify 0 into 0 3.106 * [backup-simplify]: Simplify 0 into 0 3.106 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 3.106 * [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))))) 3.106 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 3.106 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 3.106 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.106 * [taylor]: Taking taylor expansion of re in im 3.106 * [backup-simplify]: Simplify re into re 3.106 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.106 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.106 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.106 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.106 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.106 * [taylor]: Taking taylor expansion of re in im 3.106 * [backup-simplify]: Simplify re into re 3.106 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.107 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.107 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.107 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.107 * [taylor]: Taking taylor expansion of im in im 3.107 * [backup-simplify]: Simplify 0 into 0 3.107 * [backup-simplify]: Simplify 1 into 1 3.107 * [backup-simplify]: Simplify (* 1 1) into 1 3.107 * [backup-simplify]: Simplify (/ 1 1) into 1 3.108 * [backup-simplify]: Simplify (+ 0 1) into 1 3.108 * [backup-simplify]: Simplify (sqrt 1) into 1 3.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.110 * [backup-simplify]: Simplify (+ 0 0) into 0 3.110 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.110 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 3.110 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.110 * [taylor]: Taking taylor expansion of re in re 3.110 * [backup-simplify]: Simplify 0 into 0 3.110 * [backup-simplify]: Simplify 1 into 1 3.111 * [backup-simplify]: Simplify (/ 1 1) into 1 3.111 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.111 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.111 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.111 * [taylor]: Taking taylor expansion of re in re 3.111 * [backup-simplify]: Simplify 0 into 0 3.111 * [backup-simplify]: Simplify 1 into 1 3.111 * [backup-simplify]: Simplify (* 1 1) into 1 3.112 * [backup-simplify]: Simplify (/ 1 1) into 1 3.112 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.112 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.112 * [taylor]: Taking taylor expansion of im in re 3.112 * [backup-simplify]: Simplify im into im 3.112 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.112 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.112 * [backup-simplify]: Simplify (+ 1 0) into 1 3.113 * [backup-simplify]: Simplify (sqrt 1) into 1 3.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.114 * [backup-simplify]: Simplify (+ 0 0) into 0 3.115 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.115 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 3.115 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.115 * [taylor]: Taking taylor expansion of re in re 3.115 * [backup-simplify]: Simplify 0 into 0 3.115 * [backup-simplify]: Simplify 1 into 1 3.115 * [backup-simplify]: Simplify (/ 1 1) into 1 3.115 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.115 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.115 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.115 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.115 * [taylor]: Taking taylor expansion of re in re 3.115 * [backup-simplify]: Simplify 0 into 0 3.115 * [backup-simplify]: Simplify 1 into 1 3.116 * [backup-simplify]: Simplify (* 1 1) into 1 3.116 * [backup-simplify]: Simplify (/ 1 1) into 1 3.116 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.116 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.116 * [taylor]: Taking taylor expansion of im in re 3.116 * [backup-simplify]: Simplify im into im 3.116 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.116 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.117 * [backup-simplify]: Simplify (+ 1 0) into 1 3.117 * [backup-simplify]: Simplify (sqrt 1) into 1 3.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.119 * [backup-simplify]: Simplify (+ 0 0) into 0 3.119 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.120 * [backup-simplify]: Simplify (+ 1 1) into 2 3.120 * [taylor]: Taking taylor expansion of 2 in im 3.120 * [backup-simplify]: Simplify 2 into 2 3.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.121 * [backup-simplify]: Simplify (+ 0 0) into 0 3.121 * [taylor]: Taking taylor expansion of 0 in im 3.121 * [backup-simplify]: Simplify 0 into 0 3.121 * [backup-simplify]: Simplify 2 into 2 3.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.123 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.124 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.125 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 3.125 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 3.125 * [taylor]: Taking taylor expansion of 1/2 in im 3.125 * [backup-simplify]: Simplify 1/2 into 1/2 3.125 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.125 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.125 * [taylor]: Taking taylor expansion of im in im 3.125 * [backup-simplify]: Simplify 0 into 0 3.125 * [backup-simplify]: Simplify 1 into 1 3.125 * [backup-simplify]: Simplify (* 1 1) into 1 3.125 * [backup-simplify]: Simplify (/ 1 1) into 1 3.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.127 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.127 * [backup-simplify]: Simplify 0 into 0 3.127 * [backup-simplify]: Simplify 0 into 0 3.127 * [backup-simplify]: Simplify 0 into 0 3.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.130 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.130 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.131 * [backup-simplify]: Simplify (+ 0 0) into 0 3.131 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.131 * [backup-simplify]: Simplify (+ 0 0) into 0 3.131 * [taylor]: Taking taylor expansion of 0 in im 3.131 * [backup-simplify]: Simplify 0 into 0 3.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.134 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.134 * [backup-simplify]: Simplify 0 into 0 3.134 * [backup-simplify]: Simplify 0 into 0 3.134 * [backup-simplify]: Simplify 0 into 0 3.134 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 3.135 * [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)) 3.135 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 3.135 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 3.135 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.135 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.135 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.135 * [taylor]: Taking taylor expansion of re in im 3.135 * [backup-simplify]: Simplify re into re 3.135 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.135 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.135 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.135 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.135 * [taylor]: Taking taylor expansion of im in im 3.135 * [backup-simplify]: Simplify 0 into 0 3.135 * [backup-simplify]: Simplify 1 into 1 3.135 * [backup-simplify]: Simplify (* 1 1) into 1 3.136 * [backup-simplify]: Simplify (/ 1 1) into 1 3.136 * [backup-simplify]: Simplify (+ 0 1) into 1 3.136 * [backup-simplify]: Simplify (sqrt 1) into 1 3.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.138 * [backup-simplify]: Simplify (+ 0 0) into 0 3.139 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.139 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.139 * [taylor]: Taking taylor expansion of re in im 3.139 * [backup-simplify]: Simplify re into re 3.139 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.139 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 3.139 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.139 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.139 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.139 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.139 * [taylor]: Taking taylor expansion of re in re 3.139 * [backup-simplify]: Simplify 0 into 0 3.139 * [backup-simplify]: Simplify 1 into 1 3.139 * [backup-simplify]: Simplify (* 1 1) into 1 3.140 * [backup-simplify]: Simplify (/ 1 1) into 1 3.140 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.140 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.140 * [taylor]: Taking taylor expansion of im in re 3.140 * [backup-simplify]: Simplify im into im 3.140 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.140 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.140 * [backup-simplify]: Simplify (+ 1 0) into 1 3.141 * [backup-simplify]: Simplify (sqrt 1) into 1 3.141 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.142 * [backup-simplify]: Simplify (+ 0 0) into 0 3.143 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.143 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.143 * [taylor]: Taking taylor expansion of re in re 3.143 * [backup-simplify]: Simplify 0 into 0 3.143 * [backup-simplify]: Simplify 1 into 1 3.143 * [backup-simplify]: Simplify (/ 1 1) into 1 3.143 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 3.143 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.143 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.143 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.143 * [taylor]: Taking taylor expansion of re in re 3.143 * [backup-simplify]: Simplify 0 into 0 3.143 * [backup-simplify]: Simplify 1 into 1 3.144 * [backup-simplify]: Simplify (* 1 1) into 1 3.144 * [backup-simplify]: Simplify (/ 1 1) into 1 3.144 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.144 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.144 * [taylor]: Taking taylor expansion of im in re 3.144 * [backup-simplify]: Simplify im into im 3.144 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.144 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.145 * [backup-simplify]: Simplify (+ 1 0) into 1 3.145 * [backup-simplify]: Simplify (sqrt 1) into 1 3.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.147 * [backup-simplify]: Simplify (+ 0 0) into 0 3.147 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.147 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.147 * [taylor]: Taking taylor expansion of re in re 3.147 * [backup-simplify]: Simplify 0 into 0 3.147 * [backup-simplify]: Simplify 1 into 1 3.148 * [backup-simplify]: Simplify (/ 1 1) into 1 3.148 * [backup-simplify]: Simplify (- 1) into -1 3.148 * [backup-simplify]: Simplify (+ 1 -1) into 0 3.149 * [taylor]: Taking taylor expansion of 0 in im 3.149 * [backup-simplify]: Simplify 0 into 0 3.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.150 * [backup-simplify]: Simplify (- 0) into 0 3.150 * [backup-simplify]: Simplify (+ 0 0) into 0 3.150 * [taylor]: Taking taylor expansion of 0 in im 3.150 * [backup-simplify]: Simplify 0 into 0 3.150 * [backup-simplify]: Simplify 0 into 0 3.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.156 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.157 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.159 * [backup-simplify]: Simplify (- 0) into 0 3.159 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 3.159 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 3.159 * [taylor]: Taking taylor expansion of 1/2 in im 3.159 * [backup-simplify]: Simplify 1/2 into 1/2 3.159 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.159 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.159 * [taylor]: Taking taylor expansion of im in im 3.159 * [backup-simplify]: Simplify 0 into 0 3.159 * [backup-simplify]: Simplify 1 into 1 3.159 * [backup-simplify]: Simplify (* 1 1) into 1 3.160 * [backup-simplify]: Simplify (/ 1 1) into 1 3.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.162 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.162 * [backup-simplify]: Simplify 0 into 0 3.162 * [backup-simplify]: Simplify 0 into 0 3.162 * [backup-simplify]: Simplify 0 into 0 3.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.164 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.164 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.164 * [backup-simplify]: Simplify (+ 0 0) into 0 3.165 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.166 * [backup-simplify]: Simplify (- 0) into 0 3.166 * [backup-simplify]: Simplify (+ 0 0) into 0 3.166 * [taylor]: Taking taylor expansion of 0 in im 3.166 * [backup-simplify]: Simplify 0 into 0 3.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.169 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.169 * [backup-simplify]: Simplify 0 into 0 3.169 * [backup-simplify]: Simplify 0 into 0 3.169 * [backup-simplify]: Simplify 0 into 0 3.169 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 2) 3.169 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2)))) 3.169 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0 3.169 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 3.169 * [taylor]: Taking taylor expansion of re in im 3.169 * [backup-simplify]: Simplify re into re 3.169 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 3.169 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 3.169 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.169 * [taylor]: Taking taylor expansion of im in im 3.169 * [backup-simplify]: Simplify 0 into 0 3.169 * [backup-simplify]: Simplify 1 into 1 3.170 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.170 * [taylor]: Taking taylor expansion of re in im 3.170 * [backup-simplify]: Simplify re into re 3.170 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.170 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 3.170 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.170 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.170 * [backup-simplify]: Simplify (+ 0 0) into 0 3.170 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.170 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 3.170 * [taylor]: Taking taylor expansion of re in re 3.170 * [backup-simplify]: Simplify 0 into 0 3.170 * [backup-simplify]: Simplify 1 into 1 3.170 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.170 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.170 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.170 * [taylor]: Taking taylor expansion of im in re 3.171 * [backup-simplify]: Simplify im into im 3.171 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.171 * [taylor]: Taking taylor expansion of re in re 3.171 * [backup-simplify]: Simplify 0 into 0 3.171 * [backup-simplify]: Simplify 1 into 1 3.171 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.171 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.171 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.171 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.171 * [backup-simplify]: Simplify (+ 0 0) into 0 3.171 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.171 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 3.171 * [taylor]: Taking taylor expansion of re in re 3.171 * [backup-simplify]: Simplify 0 into 0 3.171 * [backup-simplify]: Simplify 1 into 1 3.171 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.171 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.171 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.171 * [taylor]: Taking taylor expansion of im in re 3.172 * [backup-simplify]: Simplify im into im 3.172 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.172 * [taylor]: Taking taylor expansion of re in re 3.172 * [backup-simplify]: Simplify 0 into 0 3.172 * [backup-simplify]: Simplify 1 into 1 3.172 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.172 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.172 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.172 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.172 * [backup-simplify]: Simplify (+ 0 0) into 0 3.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.172 * [backup-simplify]: Simplify (+ 0 im) into im 3.172 * [taylor]: Taking taylor expansion of im in im 3.172 * [backup-simplify]: Simplify 0 into 0 3.172 * [backup-simplify]: Simplify 1 into 1 3.173 * [backup-simplify]: Simplify 0 into 0 3.173 * [backup-simplify]: Simplify (+ 1 0) into 1 3.173 * [taylor]: Taking taylor expansion of 1 in im 3.173 * [backup-simplify]: Simplify 1 into 1 3.173 * [backup-simplify]: Simplify 1 into 1 3.173 * [backup-simplify]: Simplify 1 into 1 3.173 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.174 * [backup-simplify]: Simplify (* 1 1) into 1 3.174 * [backup-simplify]: Simplify (+ 0 1) into 1 3.175 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.175 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 3.175 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 3.175 * [taylor]: Taking taylor expansion of 1/2 in im 3.175 * [backup-simplify]: Simplify 1/2 into 1/2 3.175 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.175 * [taylor]: Taking taylor expansion of im in im 3.175 * [backup-simplify]: Simplify 0 into 0 3.175 * [backup-simplify]: Simplify 1 into 1 3.175 * [backup-simplify]: Simplify (/ 1 1) into 1 3.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.177 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.177 * [backup-simplify]: Simplify 0 into 0 3.177 * [backup-simplify]: Simplify 0 into 0 3.177 * [backup-simplify]: Simplify 0 into 0 3.178 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.178 * [backup-simplify]: Simplify (+ 0 0) into 0 3.179 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.179 * [backup-simplify]: Simplify (+ 0 0) into 0 3.179 * [taylor]: Taking taylor expansion of 0 in im 3.179 * [backup-simplify]: Simplify 0 into 0 3.179 * [backup-simplify]: Simplify 0 into 0 3.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.181 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.181 * [backup-simplify]: Simplify 0 into 0 3.181 * [backup-simplify]: Simplify 0 into 0 3.181 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 3.181 * [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))))) 3.181 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 3.181 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 3.181 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.181 * [taylor]: Taking taylor expansion of re in im 3.181 * [backup-simplify]: Simplify re into re 3.181 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.181 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.181 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.181 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.181 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.181 * [taylor]: Taking taylor expansion of re in im 3.182 * [backup-simplify]: Simplify re into re 3.182 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.182 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.182 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.182 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.182 * [taylor]: Taking taylor expansion of im in im 3.182 * [backup-simplify]: Simplify 0 into 0 3.182 * [backup-simplify]: Simplify 1 into 1 3.182 * [backup-simplify]: Simplify (* 1 1) into 1 3.182 * [backup-simplify]: Simplify (/ 1 1) into 1 3.183 * [backup-simplify]: Simplify (+ 0 1) into 1 3.183 * [backup-simplify]: Simplify (sqrt 1) into 1 3.184 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.185 * [backup-simplify]: Simplify (+ 0 0) into 0 3.185 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.185 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 3.185 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.185 * [taylor]: Taking taylor expansion of re in re 3.185 * [backup-simplify]: Simplify 0 into 0 3.185 * [backup-simplify]: Simplify 1 into 1 3.186 * [backup-simplify]: Simplify (/ 1 1) into 1 3.186 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.186 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.186 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.186 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.186 * [taylor]: Taking taylor expansion of re in re 3.186 * [backup-simplify]: Simplify 0 into 0 3.186 * [backup-simplify]: Simplify 1 into 1 3.186 * [backup-simplify]: Simplify (* 1 1) into 1 3.187 * [backup-simplify]: Simplify (/ 1 1) into 1 3.187 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.187 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.187 * [taylor]: Taking taylor expansion of im in re 3.187 * [backup-simplify]: Simplify im into im 3.187 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.187 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.187 * [backup-simplify]: Simplify (+ 1 0) into 1 3.188 * [backup-simplify]: Simplify (sqrt 1) into 1 3.188 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.189 * [backup-simplify]: Simplify (+ 0 0) into 0 3.190 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.190 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 3.190 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.190 * [taylor]: Taking taylor expansion of re in re 3.190 * [backup-simplify]: Simplify 0 into 0 3.190 * [backup-simplify]: Simplify 1 into 1 3.190 * [backup-simplify]: Simplify (/ 1 1) into 1 3.190 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.190 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.190 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.190 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.190 * [taylor]: Taking taylor expansion of re in re 3.190 * [backup-simplify]: Simplify 0 into 0 3.190 * [backup-simplify]: Simplify 1 into 1 3.191 * [backup-simplify]: Simplify (* 1 1) into 1 3.191 * [backup-simplify]: Simplify (/ 1 1) into 1 3.191 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.191 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.191 * [taylor]: Taking taylor expansion of im in re 3.191 * [backup-simplify]: Simplify im into im 3.191 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.191 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.192 * [backup-simplify]: Simplify (+ 1 0) into 1 3.192 * [backup-simplify]: Simplify (sqrt 1) into 1 3.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.194 * [backup-simplify]: Simplify (+ 0 0) into 0 3.194 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.195 * [backup-simplify]: Simplify (+ 1 1) into 2 3.195 * [taylor]: Taking taylor expansion of 2 in im 3.195 * [backup-simplify]: Simplify 2 into 2 3.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.196 * [backup-simplify]: Simplify (+ 0 0) into 0 3.196 * [taylor]: Taking taylor expansion of 0 in im 3.196 * [backup-simplify]: Simplify 0 into 0 3.196 * [backup-simplify]: Simplify 2 into 2 3.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.198 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.199 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.200 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 3.200 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 3.200 * [taylor]: Taking taylor expansion of 1/2 in im 3.200 * [backup-simplify]: Simplify 1/2 into 1/2 3.200 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.200 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.200 * [taylor]: Taking taylor expansion of im in im 3.200 * [backup-simplify]: Simplify 0 into 0 3.200 * [backup-simplify]: Simplify 1 into 1 3.200 * [backup-simplify]: Simplify (* 1 1) into 1 3.200 * [backup-simplify]: Simplify (/ 1 1) into 1 3.201 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.202 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.202 * [backup-simplify]: Simplify 0 into 0 3.202 * [backup-simplify]: Simplify 0 into 0 3.202 * [backup-simplify]: Simplify 0 into 0 3.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.205 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.205 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.206 * [backup-simplify]: Simplify (+ 0 0) into 0 3.206 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.207 * [backup-simplify]: Simplify (+ 0 0) into 0 3.207 * [taylor]: Taking taylor expansion of 0 in im 3.207 * [backup-simplify]: Simplify 0 into 0 3.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.209 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.209 * [backup-simplify]: Simplify 0 into 0 3.209 * [backup-simplify]: Simplify 0 into 0 3.209 * [backup-simplify]: Simplify 0 into 0 3.209 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 3.210 * [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)) 3.210 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 3.210 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 3.210 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.210 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.210 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.210 * [taylor]: Taking taylor expansion of re in im 3.210 * [backup-simplify]: Simplify re into re 3.210 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.210 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.210 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.210 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.210 * [taylor]: Taking taylor expansion of im in im 3.210 * [backup-simplify]: Simplify 0 into 0 3.210 * [backup-simplify]: Simplify 1 into 1 3.210 * [backup-simplify]: Simplify (* 1 1) into 1 3.211 * [backup-simplify]: Simplify (/ 1 1) into 1 3.211 * [backup-simplify]: Simplify (+ 0 1) into 1 3.212 * [backup-simplify]: Simplify (sqrt 1) into 1 3.212 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.213 * [backup-simplify]: Simplify (+ 0 0) into 0 3.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.214 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.214 * [taylor]: Taking taylor expansion of re in im 3.214 * [backup-simplify]: Simplify re into re 3.214 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.214 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 3.214 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.214 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.214 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.214 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.214 * [taylor]: Taking taylor expansion of re in re 3.214 * [backup-simplify]: Simplify 0 into 0 3.214 * [backup-simplify]: Simplify 1 into 1 3.215 * [backup-simplify]: Simplify (* 1 1) into 1 3.215 * [backup-simplify]: Simplify (/ 1 1) into 1 3.215 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.215 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.215 * [taylor]: Taking taylor expansion of im in re 3.215 * [backup-simplify]: Simplify im into im 3.215 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.215 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.216 * [backup-simplify]: Simplify (+ 1 0) into 1 3.216 * [backup-simplify]: Simplify (sqrt 1) into 1 3.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.218 * [backup-simplify]: Simplify (+ 0 0) into 0 3.218 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.218 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.218 * [taylor]: Taking taylor expansion of re in re 3.218 * [backup-simplify]: Simplify 0 into 0 3.218 * [backup-simplify]: Simplify 1 into 1 3.219 * [backup-simplify]: Simplify (/ 1 1) into 1 3.219 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 3.219 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.219 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.219 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.219 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.219 * [taylor]: Taking taylor expansion of re in re 3.219 * [backup-simplify]: Simplify 0 into 0 3.219 * [backup-simplify]: Simplify 1 into 1 3.219 * [backup-simplify]: Simplify (* 1 1) into 1 3.219 * [backup-simplify]: Simplify (/ 1 1) into 1 3.219 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.219 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.220 * [taylor]: Taking taylor expansion of im in re 3.220 * [backup-simplify]: Simplify im into im 3.220 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.220 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.220 * [backup-simplify]: Simplify (+ 1 0) into 1 3.220 * [backup-simplify]: Simplify (sqrt 1) into 1 3.221 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.222 * [backup-simplify]: Simplify (+ 0 0) into 0 3.223 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.223 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.223 * [taylor]: Taking taylor expansion of re in re 3.223 * [backup-simplify]: Simplify 0 into 0 3.223 * [backup-simplify]: Simplify 1 into 1 3.223 * [backup-simplify]: Simplify (/ 1 1) into 1 3.223 * [backup-simplify]: Simplify (- 1) into -1 3.224 * [backup-simplify]: Simplify (+ 1 -1) into 0 3.224 * [taylor]: Taking taylor expansion of 0 in im 3.224 * [backup-simplify]: Simplify 0 into 0 3.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.225 * [backup-simplify]: Simplify (- 0) into 0 3.225 * [backup-simplify]: Simplify (+ 0 0) into 0 3.225 * [taylor]: Taking taylor expansion of 0 in im 3.225 * [backup-simplify]: Simplify 0 into 0 3.225 * [backup-simplify]: Simplify 0 into 0 3.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.227 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.228 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.229 * [backup-simplify]: Simplify (- 0) into 0 3.229 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 3.229 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 3.230 * [taylor]: Taking taylor expansion of 1/2 in im 3.230 * [backup-simplify]: Simplify 1/2 into 1/2 3.230 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.230 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.230 * [taylor]: Taking taylor expansion of im in im 3.230 * [backup-simplify]: Simplify 0 into 0 3.230 * [backup-simplify]: Simplify 1 into 1 3.230 * [backup-simplify]: Simplify (* 1 1) into 1 3.230 * [backup-simplify]: Simplify (/ 1 1) into 1 3.231 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.232 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.232 * [backup-simplify]: Simplify 0 into 0 3.232 * [backup-simplify]: Simplify 0 into 0 3.232 * [backup-simplify]: Simplify 0 into 0 3.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.234 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.234 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.235 * [backup-simplify]: Simplify (+ 0 0) into 0 3.235 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.237 * [backup-simplify]: Simplify (- 0) into 0 3.237 * [backup-simplify]: Simplify (+ 0 0) into 0 3.237 * [taylor]: Taking taylor expansion of 0 in im 3.237 * [backup-simplify]: Simplify 0 into 0 3.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.240 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.240 * [backup-simplify]: Simplify 0 into 0 3.240 * [backup-simplify]: Simplify 0 into 0 3.240 * [backup-simplify]: Simplify 0 into 0 3.240 * * * [progress]: simplifying candidates 3.240 * * * * [progress]: [ 1 / 70 ] simplifiying candidate # 3.241 * * * * [progress]: [ 2 / 70 ] simplifiying candidate # 3.241 * * * * [progress]: [ 3 / 70 ] simplifiying candidate # 3.241 * * * * [progress]: [ 4 / 70 ] simplifiying candidate # 3.241 * * * * [progress]: [ 5 / 70 ] simplifiying candidate # 3.241 * * * * [progress]: [ 6 / 70 ] simplifiying candidate # 3.241 * * * * [progress]: [ 7 / 70 ] simplifiying candidate # 3.241 * * * * [progress]: [ 8 / 70 ] simplifiying candidate # 3.241 * * * * [progress]: [ 9 / 70 ] simplifiying candidate # 3.241 * * * * [progress]: [ 10 / 70 ] simplifiying candidate # 3.241 * * * * [progress]: [ 11 / 70 ] simplifiying candidate # 3.241 * * * * [progress]: [ 12 / 70 ] simplifiying candidate # 3.241 * * * * [progress]: [ 13 / 70 ] simplifiying candidate # 3.241 * * * * [progress]: [ 14 / 70 ] simplifiying candidate # 3.242 * * * * [progress]: [ 15 / 70 ] simplifiying candidate # 3.242 * * * * [progress]: [ 16 / 70 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))) re)))))))> 3.242 * * * * [progress]: [ 17 / 70 ] simplifiying candidate # 3.242 * * * * [progress]: [ 18 / 70 ] simplifiying candidate # 3.242 * * * * [progress]: [ 19 / 70 ] simplifiying candidate # 3.242 * * * * [progress]: [ 20 / 70 ] simplifiying candidate # 3.242 * * * * [progress]: [ 21 / 70 ] simplifiying candidate # 3.242 * * * * [progress]: [ 22 / 70 ] simplifiying candidate # 3.242 * * * * [progress]: [ 23 / 70 ] simplifiying candidate # 3.242 * * * * [progress]: [ 24 / 70 ] simplifiying candidate # 3.242 * * * * [progress]: [ 25 / 70 ] simplifiying candidate # 3.242 * * * * [progress]: [ 26 / 70 ] simplifiying candidate # 3.242 * * * * [progress]: [ 27 / 70 ] simplifiying candidate # 3.243 * * * * [progress]: [ 28 / 70 ] simplifiying candidate # 3.243 * * * * [progress]: [ 29 / 70 ] simplifiying candidate # 3.243 * * * * [progress]: [ 30 / 70 ] simplifiying candidate # 3.243 * * * * [progress]: [ 31 / 70 ] simplifiying candidate # 3.243 * * * * [progress]: [ 32 / 70 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> 3.243 * * * * [progress]: [ 33 / 70 ] simplifiying candidate # 3.243 * * * * [progress]: [ 34 / 70 ] simplifiying candidate # 3.243 * * * * [progress]: [ 35 / 70 ] simplifiying candidate # 3.243 * * * * [progress]: [ 36 / 70 ] simplifiying candidate # 3.243 * * * * [progress]: [ 37 / 70 ] simplifiying candidate # 3.243 * * * * [progress]: [ 38 / 70 ] simplifiying candidate # 3.243 * * * * [progress]: [ 39 / 70 ] simplifiying candidate # 3.243 * * * * [progress]: [ 40 / 70 ] simplifiying candidate # 3.244 * * * * [progress]: [ 41 / 70 ] simplifiying candidate # 3.244 * * * * [progress]: [ 42 / 70 ] simplifiying candidate # 3.244 * * * * [progress]: [ 43 / 70 ] simplifiying candidate # 3.244 * * * * [progress]: [ 44 / 70 ] simplifiying candidate #real (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)))))))))> 3.244 * * * * [progress]: [ 45 / 70 ] simplifiying candidate # 3.244 * * * * [progress]: [ 46 / 70 ] simplifiying candidate # 3.244 * * * * [progress]: [ 47 / 70 ] simplifiying candidate # 3.244 * * * * [progress]: [ 48 / 70 ] simplifiying candidate # 3.244 * * * * [progress]: [ 49 / 70 ] simplifiying candidate # 3.244 * * * * [progress]: [ 50 / 70 ] simplifiying candidate # 3.244 * * * * [progress]: [ 51 / 70 ] simplifiying candidate # 3.244 * * * * [progress]: [ 52 / 70 ] simplifiying candidate # 3.244 * * * * [progress]: [ 53 / 70 ] simplifiying candidate # 3.245 * * * * [progress]: [ 54 / 70 ] simplifiying candidate # 3.245 * * * * [progress]: [ 55 / 70 ] simplifiying candidate # 3.245 * * * * [progress]: [ 56 / 70 ] simplifiying candidate # 3.245 * * * * [progress]: [ 57 / 70 ] simplifiying candidate #real (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)))))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> 3.245 * * * * [progress]: [ 58 / 70 ] simplifiying candidate # 3.245 * * * * [progress]: [ 59 / 70 ] simplifiying candidate # 3.245 * * * * [progress]: [ 60 / 70 ] simplifiying candidate # 3.245 * * * * [progress]: [ 61 / 70 ] simplifiying candidate # 3.245 * * * * [progress]: [ 62 / 70 ] simplifiying candidate # 3.245 * * * * [progress]: [ 63 / 70 ] simplifiying candidate # 3.245 * * * * [progress]: [ 64 / 70 ] simplifiying candidate # 3.245 * * * * [progress]: [ 65 / 70 ] simplifiying candidate # 3.245 * * * * [progress]: [ 66 / 70 ] simplifiying candidate # 3.245 * * * * [progress]: [ 67 / 70 ] simplifiying candidate # 3.245 * * * * [progress]: [ 68 / 70 ] simplifiying candidate # 3.245 * * * * [progress]: [ 69 / 70 ] simplifiying candidate # 3.246 * * * * [progress]: [ 70 / 70 ] simplifiying candidate # 3.247 * [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)))) (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)) (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)) im re (* -1 re) im re (* -1 re) (+ re im) (* 2 re) 0 (+ re im) (* 2 re) 0 3.248 * * [simplify]: iteration 0: 61 enodes 3.274 * * [simplify]: iteration 1: 145 enodes 3.328 * * [simplify]: iteration 2: 357 enodes 3.444 * * [simplify]: iteration 3: 837 enodes 3.916 * * [simplify]: iteration 4: 2218 enodes 4.739 * * [simplify]: iteration complete: 5005 enodes 4.740 * * [simplify]: Extracting #0: cost 34 inf + 0 4.740 * * [simplify]: Extracting #1: cost 128 inf + 129 4.741 * * [simplify]: Extracting #2: cost 351 inf + 2112 4.746 * * [simplify]: Extracting #3: cost 1089 inf + 13091 4.776 * * [simplify]: Extracting #4: cost 1412 inf + 74021 4.845 * * [simplify]: Extracting #5: cost 882 inf + 233678 4.951 * * [simplify]: Extracting #6: cost 270 inf + 461871 5.060 * * [simplify]: Extracting #7: cost 49 inf + 541638 5.213 * * [simplify]: Extracting #8: cost 9 inf + 548931 5.332 * * [simplify]: Extracting #9: cost 0 inf + 551568 5.511 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (* (* (* re re) re) (* (* re re) re)) (* (* (* im im) (* im im)) (* im im)))) (sqrt (+ (* (* im im) (* im im)) (* (- (* re re) (* im im)) (* re re)))) (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (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) (* im im)) (* re re)))) (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (+ (sqrt (+ (* re re) (* im im))) re) (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (* (* re re) re)) (+ (* re re) (* (- (sqrt (+ (* re re) (* im im))) re) (sqrt (+ (* re re) (* im im))))) (* im im) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (+ (sqrt (+ (* re re) (* im im))) re) (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (* (* re re) re)) (+ (* re re) (* (- (sqrt (+ (* re re) (* im im))) re) (sqrt (+ (* re re) (* im im))))) (* im im) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)) im re (- re) im re (- re) (+ re im) (+ re re) 0 (+ re im) (+ re re) 0 5.528 * * * [progress]: adding candidates to table 6.022 * * [progress]: iteration 3 / 4 6.022 * * * [progress]: picking best candidate 6.065 * * * * [pick]: Picked # 6.065 * * * [progress]: localizing error 6.127 * * * [progress]: generating rewritten candidates 6.128 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1) 6.145 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 2 1) 6.157 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1 1) 6.169 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 6.255 * * * [progress]: generating series expansions 6.255 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1) 6.255 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 6.255 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 6.255 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 6.255 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 6.255 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.255 * [taylor]: Taking taylor expansion of im in im 6.255 * [backup-simplify]: Simplify 0 into 0 6.255 * [backup-simplify]: Simplify 1 into 1 6.255 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.255 * [taylor]: Taking taylor expansion of re in im 6.255 * [backup-simplify]: Simplify re into re 6.256 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.256 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 6.256 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 6.256 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.257 * [backup-simplify]: Simplify (+ 0 0) into 0 6.257 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 6.257 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 6.257 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 6.257 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.257 * [taylor]: Taking taylor expansion of im in re 6.257 * [backup-simplify]: Simplify im into im 6.257 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.257 * [taylor]: Taking taylor expansion of re in re 6.257 * [backup-simplify]: Simplify 0 into 0 6.257 * [backup-simplify]: Simplify 1 into 1 6.257 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.257 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 6.257 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.257 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.258 * [backup-simplify]: Simplify (+ 0 0) into 0 6.258 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.258 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 6.258 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 6.258 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.258 * [taylor]: Taking taylor expansion of im in re 6.258 * [backup-simplify]: Simplify im into im 6.258 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.258 * [taylor]: Taking taylor expansion of re in re 6.258 * [backup-simplify]: Simplify 0 into 0 6.258 * [backup-simplify]: Simplify 1 into 1 6.258 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.258 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 6.258 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.258 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.259 * [backup-simplify]: Simplify (+ 0 0) into 0 6.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.259 * [taylor]: Taking taylor expansion of im in im 6.259 * [backup-simplify]: Simplify 0 into 0 6.259 * [backup-simplify]: Simplify 1 into 1 6.259 * [backup-simplify]: Simplify 0 into 0 6.259 * [taylor]: Taking taylor expansion of 0 in im 6.259 * [backup-simplify]: Simplify 0 into 0 6.259 * [backup-simplify]: Simplify 0 into 0 6.259 * [backup-simplify]: Simplify 1 into 1 6.260 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.260 * [backup-simplify]: Simplify (* 1 1) into 1 6.261 * [backup-simplify]: Simplify (+ 0 1) into 1 6.261 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 6.261 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 6.261 * [taylor]: Taking taylor expansion of 1/2 in im 6.261 * [backup-simplify]: Simplify 1/2 into 1/2 6.261 * [taylor]: Taking taylor expansion of im in im 6.261 * [backup-simplify]: Simplify 0 into 0 6.261 * [backup-simplify]: Simplify 1 into 1 6.262 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.263 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.263 * [backup-simplify]: Simplify 0 into 0 6.263 * [backup-simplify]: Simplify 0 into 0 6.263 * [backup-simplify]: Simplify 0 into 0 6.264 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 6.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.265 * [backup-simplify]: Simplify (+ 0 0) into 0 6.265 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 6.265 * [taylor]: Taking taylor expansion of 0 in im 6.265 * [backup-simplify]: Simplify 0 into 0 6.265 * [backup-simplify]: Simplify 0 into 0 6.266 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.266 * [backup-simplify]: Simplify 0 into 0 6.267 * [backup-simplify]: Simplify 0 into 0 6.267 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 6.267 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 6.267 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 6.267 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 6.267 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 6.267 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.267 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.267 * [taylor]: Taking taylor expansion of re in im 6.267 * [backup-simplify]: Simplify re into re 6.267 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.267 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.267 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.267 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.267 * [taylor]: Taking taylor expansion of im in im 6.267 * [backup-simplify]: Simplify 0 into 0 6.267 * [backup-simplify]: Simplify 1 into 1 6.268 * [backup-simplify]: Simplify (* 1 1) into 1 6.268 * [backup-simplify]: Simplify (/ 1 1) into 1 6.268 * [backup-simplify]: Simplify (+ 0 1) into 1 6.269 * [backup-simplify]: Simplify (sqrt 1) into 1 6.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.271 * [backup-simplify]: Simplify (+ 0 0) into 0 6.271 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.271 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.272 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.272 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.272 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.272 * [taylor]: Taking taylor expansion of re in re 6.272 * [backup-simplify]: Simplify 0 into 0 6.272 * [backup-simplify]: Simplify 1 into 1 6.272 * [backup-simplify]: Simplify (* 1 1) into 1 6.273 * [backup-simplify]: Simplify (/ 1 1) into 1 6.273 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.273 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.273 * [taylor]: Taking taylor expansion of im in re 6.273 * [backup-simplify]: Simplify im into im 6.273 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.273 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.274 * [backup-simplify]: Simplify (+ 1 0) into 1 6.274 * [backup-simplify]: Simplify (sqrt 1) into 1 6.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.276 * [backup-simplify]: Simplify (+ 0 0) into 0 6.277 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.277 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.277 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.277 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.277 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.277 * [taylor]: Taking taylor expansion of re in re 6.277 * [backup-simplify]: Simplify 0 into 0 6.277 * [backup-simplify]: Simplify 1 into 1 6.277 * [backup-simplify]: Simplify (* 1 1) into 1 6.278 * [backup-simplify]: Simplify (/ 1 1) into 1 6.278 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.278 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.278 * [taylor]: Taking taylor expansion of im in re 6.278 * [backup-simplify]: Simplify im into im 6.278 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.278 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.278 * [backup-simplify]: Simplify (+ 1 0) into 1 6.279 * [backup-simplify]: Simplify (sqrt 1) into 1 6.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.281 * [backup-simplify]: Simplify (+ 0 0) into 0 6.281 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.282 * [taylor]: Taking taylor expansion of 1 in im 6.282 * [backup-simplify]: Simplify 1 into 1 6.282 * [taylor]: Taking taylor expansion of 0 in im 6.282 * [backup-simplify]: Simplify 0 into 0 6.282 * [backup-simplify]: Simplify 1 into 1 6.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.284 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.285 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.285 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.285 * [taylor]: Taking taylor expansion of 1/2 in im 6.285 * [backup-simplify]: Simplify 1/2 into 1/2 6.285 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.285 * [taylor]: Taking taylor expansion of im in im 6.285 * [backup-simplify]: Simplify 0 into 0 6.285 * [backup-simplify]: Simplify 1 into 1 6.286 * [backup-simplify]: Simplify (* 1 1) into 1 6.286 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.288 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.288 * [backup-simplify]: Simplify 0 into 0 6.288 * [backup-simplify]: Simplify 0 into 0 6.288 * [backup-simplify]: Simplify 0 into 0 6.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.290 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.290 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.290 * [backup-simplify]: Simplify (+ 0 0) into 0 6.291 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.291 * [taylor]: Taking taylor expansion of 0 in im 6.291 * [backup-simplify]: Simplify 0 into 0 6.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.293 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.293 * [backup-simplify]: Simplify 0 into 0 6.293 * [backup-simplify]: Simplify 0 into 0 6.293 * [backup-simplify]: Simplify 0 into 0 6.293 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 6.294 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 6.294 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 6.294 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 6.294 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 6.294 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.294 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.294 * [taylor]: Taking taylor expansion of re in im 6.294 * [backup-simplify]: Simplify re into re 6.294 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.294 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.294 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.294 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.294 * [taylor]: Taking taylor expansion of im in im 6.294 * [backup-simplify]: Simplify 0 into 0 6.294 * [backup-simplify]: Simplify 1 into 1 6.294 * [backup-simplify]: Simplify (* 1 1) into 1 6.295 * [backup-simplify]: Simplify (/ 1 1) into 1 6.295 * [backup-simplify]: Simplify (+ 0 1) into 1 6.296 * [backup-simplify]: Simplify (sqrt 1) into 1 6.296 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.297 * [backup-simplify]: Simplify (+ 0 0) into 0 6.298 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.298 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.298 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.298 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.298 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.298 * [taylor]: Taking taylor expansion of re in re 6.298 * [backup-simplify]: Simplify 0 into 0 6.298 * [backup-simplify]: Simplify 1 into 1 6.299 * [backup-simplify]: Simplify (* 1 1) into 1 6.299 * [backup-simplify]: Simplify (/ 1 1) into 1 6.299 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.299 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.299 * [taylor]: Taking taylor expansion of im in re 6.299 * [backup-simplify]: Simplify im into im 6.299 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.299 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.300 * [backup-simplify]: Simplify (+ 1 0) into 1 6.300 * [backup-simplify]: Simplify (sqrt 1) into 1 6.301 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.302 * [backup-simplify]: Simplify (+ 0 0) into 0 6.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.303 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.303 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.303 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.303 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.303 * [taylor]: Taking taylor expansion of re in re 6.303 * [backup-simplify]: Simplify 0 into 0 6.303 * [backup-simplify]: Simplify 1 into 1 6.303 * [backup-simplify]: Simplify (* 1 1) into 1 6.304 * [backup-simplify]: Simplify (/ 1 1) into 1 6.304 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.304 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.304 * [taylor]: Taking taylor expansion of im in re 6.304 * [backup-simplify]: Simplify im into im 6.304 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.304 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.304 * [backup-simplify]: Simplify (+ 1 0) into 1 6.305 * [backup-simplify]: Simplify (sqrt 1) into 1 6.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.307 * [backup-simplify]: Simplify (+ 0 0) into 0 6.307 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.308 * [taylor]: Taking taylor expansion of 1 in im 6.308 * [backup-simplify]: Simplify 1 into 1 6.308 * [taylor]: Taking taylor expansion of 0 in im 6.308 * [backup-simplify]: Simplify 0 into 0 6.308 * [backup-simplify]: Simplify 1 into 1 6.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.310 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.311 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.311 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.311 * [taylor]: Taking taylor expansion of 1/2 in im 6.311 * [backup-simplify]: Simplify 1/2 into 1/2 6.311 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.311 * [taylor]: Taking taylor expansion of im in im 6.311 * [backup-simplify]: Simplify 0 into 0 6.311 * [backup-simplify]: Simplify 1 into 1 6.312 * [backup-simplify]: Simplify (* 1 1) into 1 6.312 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.313 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.314 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.314 * [backup-simplify]: Simplify 0 into 0 6.314 * [backup-simplify]: Simplify 0 into 0 6.314 * [backup-simplify]: Simplify 0 into 0 6.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.316 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.316 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.316 * [backup-simplify]: Simplify (+ 0 0) into 0 6.317 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.317 * [taylor]: Taking taylor expansion of 0 in im 6.317 * [backup-simplify]: Simplify 0 into 0 6.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.319 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.319 * [backup-simplify]: Simplify 0 into 0 6.319 * [backup-simplify]: Simplify 0 into 0 6.319 * [backup-simplify]: Simplify 0 into 0 6.319 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 6.319 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 2 1) 6.319 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 6.319 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 6.319 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 6.319 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 6.319 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.319 * [taylor]: Taking taylor expansion of im in im 6.319 * [backup-simplify]: Simplify 0 into 0 6.319 * [backup-simplify]: Simplify 1 into 1 6.319 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.319 * [taylor]: Taking taylor expansion of re in im 6.319 * [backup-simplify]: Simplify re into re 6.319 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.319 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 6.319 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 6.319 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.319 * [backup-simplify]: Simplify (+ 0 0) into 0 6.320 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 6.320 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 6.320 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 6.320 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.320 * [taylor]: Taking taylor expansion of im in re 6.320 * [backup-simplify]: Simplify im into im 6.320 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.320 * [taylor]: Taking taylor expansion of re in re 6.320 * [backup-simplify]: Simplify 0 into 0 6.320 * [backup-simplify]: Simplify 1 into 1 6.320 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.320 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 6.320 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.320 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.320 * [backup-simplify]: Simplify (+ 0 0) into 0 6.320 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.320 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 6.320 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 6.320 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.320 * [taylor]: Taking taylor expansion of im in re 6.320 * [backup-simplify]: Simplify im into im 6.320 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.320 * [taylor]: Taking taylor expansion of re in re 6.320 * [backup-simplify]: Simplify 0 into 0 6.320 * [backup-simplify]: Simplify 1 into 1 6.320 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.320 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 6.320 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.321 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.321 * [backup-simplify]: Simplify (+ 0 0) into 0 6.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.321 * [taylor]: Taking taylor expansion of im in im 6.321 * [backup-simplify]: Simplify 0 into 0 6.321 * [backup-simplify]: Simplify 1 into 1 6.321 * [backup-simplify]: Simplify 0 into 0 6.321 * [taylor]: Taking taylor expansion of 0 in im 6.321 * [backup-simplify]: Simplify 0 into 0 6.321 * [backup-simplify]: Simplify 0 into 0 6.321 * [backup-simplify]: Simplify 1 into 1 6.321 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.322 * [backup-simplify]: Simplify (* 1 1) into 1 6.322 * [backup-simplify]: Simplify (+ 0 1) into 1 6.322 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 6.322 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 6.322 * [taylor]: Taking taylor expansion of 1/2 in im 6.322 * [backup-simplify]: Simplify 1/2 into 1/2 6.322 * [taylor]: Taking taylor expansion of im in im 6.322 * [backup-simplify]: Simplify 0 into 0 6.322 * [backup-simplify]: Simplify 1 into 1 6.323 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.323 * [backup-simplify]: Simplify 0 into 0 6.323 * [backup-simplify]: Simplify 0 into 0 6.324 * [backup-simplify]: Simplify 0 into 0 6.324 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 6.324 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.325 * [backup-simplify]: Simplify (+ 0 0) into 0 6.325 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 6.325 * [taylor]: Taking taylor expansion of 0 in im 6.325 * [backup-simplify]: Simplify 0 into 0 6.325 * [backup-simplify]: Simplify 0 into 0 6.325 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.325 * [backup-simplify]: Simplify 0 into 0 6.325 * [backup-simplify]: Simplify 0 into 0 6.326 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 6.326 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 6.326 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 6.326 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 6.326 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 6.326 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.326 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.326 * [taylor]: Taking taylor expansion of re in im 6.326 * [backup-simplify]: Simplify re into re 6.326 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.326 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.326 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.326 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.326 * [taylor]: Taking taylor expansion of im in im 6.326 * [backup-simplify]: Simplify 0 into 0 6.326 * [backup-simplify]: Simplify 1 into 1 6.326 * [backup-simplify]: Simplify (* 1 1) into 1 6.326 * [backup-simplify]: Simplify (/ 1 1) into 1 6.327 * [backup-simplify]: Simplify (+ 0 1) into 1 6.327 * [backup-simplify]: Simplify (sqrt 1) into 1 6.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.328 * [backup-simplify]: Simplify (+ 0 0) into 0 6.329 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.329 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.329 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.329 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.329 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.329 * [taylor]: Taking taylor expansion of re in re 6.329 * [backup-simplify]: Simplify 0 into 0 6.329 * [backup-simplify]: Simplify 1 into 1 6.329 * [backup-simplify]: Simplify (* 1 1) into 1 6.329 * [backup-simplify]: Simplify (/ 1 1) into 1 6.329 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.329 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.329 * [taylor]: Taking taylor expansion of im in re 6.329 * [backup-simplify]: Simplify im into im 6.329 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.329 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.330 * [backup-simplify]: Simplify (+ 1 0) into 1 6.330 * [backup-simplify]: Simplify (sqrt 1) into 1 6.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.331 * [backup-simplify]: Simplify (+ 0 0) into 0 6.332 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.332 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.332 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.332 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.332 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.332 * [taylor]: Taking taylor expansion of re in re 6.332 * [backup-simplify]: Simplify 0 into 0 6.332 * [backup-simplify]: Simplify 1 into 1 6.332 * [backup-simplify]: Simplify (* 1 1) into 1 6.332 * [backup-simplify]: Simplify (/ 1 1) into 1 6.332 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.332 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.332 * [taylor]: Taking taylor expansion of im in re 6.332 * [backup-simplify]: Simplify im into im 6.332 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.332 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.333 * [backup-simplify]: Simplify (+ 1 0) into 1 6.333 * [backup-simplify]: Simplify (sqrt 1) into 1 6.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.334 * [backup-simplify]: Simplify (+ 0 0) into 0 6.335 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.335 * [taylor]: Taking taylor expansion of 1 in im 6.335 * [backup-simplify]: Simplify 1 into 1 6.335 * [taylor]: Taking taylor expansion of 0 in im 6.335 * [backup-simplify]: Simplify 0 into 0 6.335 * [backup-simplify]: Simplify 1 into 1 6.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.336 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.337 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.337 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.337 * [taylor]: Taking taylor expansion of 1/2 in im 6.337 * [backup-simplify]: Simplify 1/2 into 1/2 6.337 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.337 * [taylor]: Taking taylor expansion of im in im 6.337 * [backup-simplify]: Simplify 0 into 0 6.337 * [backup-simplify]: Simplify 1 into 1 6.337 * [backup-simplify]: Simplify (* 1 1) into 1 6.338 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.338 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.339 * [backup-simplify]: Simplify 0 into 0 6.339 * [backup-simplify]: Simplify 0 into 0 6.339 * [backup-simplify]: Simplify 0 into 0 6.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.340 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.340 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.340 * [backup-simplify]: Simplify (+ 0 0) into 0 6.341 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.341 * [taylor]: Taking taylor expansion of 0 in im 6.341 * [backup-simplify]: Simplify 0 into 0 6.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.342 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.342 * [backup-simplify]: Simplify 0 into 0 6.342 * [backup-simplify]: Simplify 0 into 0 6.342 * [backup-simplify]: Simplify 0 into 0 6.342 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 6.342 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 6.342 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 6.342 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 6.342 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 6.342 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.342 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.342 * [taylor]: Taking taylor expansion of re in im 6.342 * [backup-simplify]: Simplify re into re 6.342 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.342 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.342 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.342 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.343 * [taylor]: Taking taylor expansion of im in im 6.343 * [backup-simplify]: Simplify 0 into 0 6.343 * [backup-simplify]: Simplify 1 into 1 6.343 * [backup-simplify]: Simplify (* 1 1) into 1 6.343 * [backup-simplify]: Simplify (/ 1 1) into 1 6.343 * [backup-simplify]: Simplify (+ 0 1) into 1 6.344 * [backup-simplify]: Simplify (sqrt 1) into 1 6.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.345 * [backup-simplify]: Simplify (+ 0 0) into 0 6.346 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.346 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.346 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.346 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.346 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.346 * [taylor]: Taking taylor expansion of re in re 6.346 * [backup-simplify]: Simplify 0 into 0 6.346 * [backup-simplify]: Simplify 1 into 1 6.346 * [backup-simplify]: Simplify (* 1 1) into 1 6.347 * [backup-simplify]: Simplify (/ 1 1) into 1 6.347 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.347 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.347 * [taylor]: Taking taylor expansion of im in re 6.347 * [backup-simplify]: Simplify im into im 6.347 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.347 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.347 * [backup-simplify]: Simplify (+ 1 0) into 1 6.348 * [backup-simplify]: Simplify (sqrt 1) into 1 6.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.350 * [backup-simplify]: Simplify (+ 0 0) into 0 6.350 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.350 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.350 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.350 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.351 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.351 * [taylor]: Taking taylor expansion of re in re 6.351 * [backup-simplify]: Simplify 0 into 0 6.351 * [backup-simplify]: Simplify 1 into 1 6.351 * [backup-simplify]: Simplify (* 1 1) into 1 6.351 * [backup-simplify]: Simplify (/ 1 1) into 1 6.351 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.351 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.351 * [taylor]: Taking taylor expansion of im in re 6.351 * [backup-simplify]: Simplify im into im 6.352 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.352 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.352 * [backup-simplify]: Simplify (+ 1 0) into 1 6.352 * [backup-simplify]: Simplify (sqrt 1) into 1 6.353 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.354 * [backup-simplify]: Simplify (+ 0 0) into 0 6.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.355 * [taylor]: Taking taylor expansion of 1 in im 6.355 * [backup-simplify]: Simplify 1 into 1 6.355 * [taylor]: Taking taylor expansion of 0 in im 6.355 * [backup-simplify]: Simplify 0 into 0 6.355 * [backup-simplify]: Simplify 1 into 1 6.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.357 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.363 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.363 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.363 * [taylor]: Taking taylor expansion of 1/2 in im 6.363 * [backup-simplify]: Simplify 1/2 into 1/2 6.363 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.363 * [taylor]: Taking taylor expansion of im in im 6.363 * [backup-simplify]: Simplify 0 into 0 6.363 * [backup-simplify]: Simplify 1 into 1 6.364 * [backup-simplify]: Simplify (* 1 1) into 1 6.364 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.366 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.366 * [backup-simplify]: Simplify 0 into 0 6.366 * [backup-simplify]: Simplify 0 into 0 6.366 * [backup-simplify]: Simplify 0 into 0 6.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.368 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.368 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.369 * [backup-simplify]: Simplify (+ 0 0) into 0 6.369 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.369 * [taylor]: Taking taylor expansion of 0 in im 6.369 * [backup-simplify]: Simplify 0 into 0 6.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.371 * [backup-simplify]: Simplify 0 into 0 6.371 * [backup-simplify]: Simplify 0 into 0 6.371 * [backup-simplify]: Simplify 0 into 0 6.372 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 6.372 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1 1) 6.372 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 6.372 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 6.372 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 6.372 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 6.372 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.372 * [taylor]: Taking taylor expansion of im in im 6.372 * [backup-simplify]: Simplify 0 into 0 6.372 * [backup-simplify]: Simplify 1 into 1 6.372 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.372 * [taylor]: Taking taylor expansion of re in im 6.372 * [backup-simplify]: Simplify re into re 6.372 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.372 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 6.372 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 6.373 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.373 * [backup-simplify]: Simplify (+ 0 0) into 0 6.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 6.373 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 6.373 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 6.373 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.373 * [taylor]: Taking taylor expansion of im in re 6.374 * [backup-simplify]: Simplify im into im 6.374 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.374 * [taylor]: Taking taylor expansion of re in re 6.374 * [backup-simplify]: Simplify 0 into 0 6.374 * [backup-simplify]: Simplify 1 into 1 6.374 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.374 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 6.374 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.374 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.374 * [backup-simplify]: Simplify (+ 0 0) into 0 6.374 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.375 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 6.375 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 6.375 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.375 * [taylor]: Taking taylor expansion of im in re 6.375 * [backup-simplify]: Simplify im into im 6.375 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.375 * [taylor]: Taking taylor expansion of re in re 6.375 * [backup-simplify]: Simplify 0 into 0 6.375 * [backup-simplify]: Simplify 1 into 1 6.375 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.375 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 6.375 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.375 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.375 * [backup-simplify]: Simplify (+ 0 0) into 0 6.376 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.376 * [taylor]: Taking taylor expansion of im in im 6.376 * [backup-simplify]: Simplify 0 into 0 6.376 * [backup-simplify]: Simplify 1 into 1 6.376 * [backup-simplify]: Simplify 0 into 0 6.376 * [taylor]: Taking taylor expansion of 0 in im 6.376 * [backup-simplify]: Simplify 0 into 0 6.376 * [backup-simplify]: Simplify 0 into 0 6.376 * [backup-simplify]: Simplify 1 into 1 6.376 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.377 * [backup-simplify]: Simplify (* 1 1) into 1 6.377 * [backup-simplify]: Simplify (+ 0 1) into 1 6.378 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 6.378 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 6.378 * [taylor]: Taking taylor expansion of 1/2 in im 6.378 * [backup-simplify]: Simplify 1/2 into 1/2 6.378 * [taylor]: Taking taylor expansion of im in im 6.378 * [backup-simplify]: Simplify 0 into 0 6.378 * [backup-simplify]: Simplify 1 into 1 6.378 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.379 * [backup-simplify]: Simplify 0 into 0 6.379 * [backup-simplify]: Simplify 0 into 0 6.379 * [backup-simplify]: Simplify 0 into 0 6.379 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 6.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.380 * [backup-simplify]: Simplify (+ 0 0) into 0 6.380 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 6.380 * [taylor]: Taking taylor expansion of 0 in im 6.380 * [backup-simplify]: Simplify 0 into 0 6.380 * [backup-simplify]: Simplify 0 into 0 6.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.381 * [backup-simplify]: Simplify 0 into 0 6.381 * [backup-simplify]: Simplify 0 into 0 6.381 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 6.381 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 6.381 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 6.381 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 6.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 6.381 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.381 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.381 * [taylor]: Taking taylor expansion of re in im 6.381 * [backup-simplify]: Simplify re into re 6.381 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.381 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.381 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.381 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.381 * [taylor]: Taking taylor expansion of im in im 6.381 * [backup-simplify]: Simplify 0 into 0 6.381 * [backup-simplify]: Simplify 1 into 1 6.382 * [backup-simplify]: Simplify (* 1 1) into 1 6.382 * [backup-simplify]: Simplify (/ 1 1) into 1 6.382 * [backup-simplify]: Simplify (+ 0 1) into 1 6.382 * [backup-simplify]: Simplify (sqrt 1) into 1 6.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.384 * [backup-simplify]: Simplify (+ 0 0) into 0 6.384 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.384 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.384 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.384 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.384 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.384 * [taylor]: Taking taylor expansion of re in re 6.384 * [backup-simplify]: Simplify 0 into 0 6.384 * [backup-simplify]: Simplify 1 into 1 6.384 * [backup-simplify]: Simplify (* 1 1) into 1 6.385 * [backup-simplify]: Simplify (/ 1 1) into 1 6.385 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.385 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.385 * [taylor]: Taking taylor expansion of im in re 6.385 * [backup-simplify]: Simplify im into im 6.385 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.385 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.385 * [backup-simplify]: Simplify (+ 1 0) into 1 6.385 * [backup-simplify]: Simplify (sqrt 1) into 1 6.386 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.386 * [backup-simplify]: Simplify (+ 0 0) into 0 6.387 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.387 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.387 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.387 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.387 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.387 * [taylor]: Taking taylor expansion of re in re 6.387 * [backup-simplify]: Simplify 0 into 0 6.387 * [backup-simplify]: Simplify 1 into 1 6.387 * [backup-simplify]: Simplify (* 1 1) into 1 6.387 * [backup-simplify]: Simplify (/ 1 1) into 1 6.387 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.388 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.388 * [taylor]: Taking taylor expansion of im in re 6.388 * [backup-simplify]: Simplify im into im 6.388 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.388 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.388 * [backup-simplify]: Simplify (+ 1 0) into 1 6.388 * [backup-simplify]: Simplify (sqrt 1) into 1 6.389 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.389 * [backup-simplify]: Simplify (+ 0 0) into 0 6.390 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.390 * [taylor]: Taking taylor expansion of 1 in im 6.390 * [backup-simplify]: Simplify 1 into 1 6.390 * [taylor]: Taking taylor expansion of 0 in im 6.390 * [backup-simplify]: Simplify 0 into 0 6.390 * [backup-simplify]: Simplify 1 into 1 6.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.391 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.392 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.392 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.392 * [taylor]: Taking taylor expansion of 1/2 in im 6.392 * [backup-simplify]: Simplify 1/2 into 1/2 6.392 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.392 * [taylor]: Taking taylor expansion of im in im 6.392 * [backup-simplify]: Simplify 0 into 0 6.392 * [backup-simplify]: Simplify 1 into 1 6.392 * [backup-simplify]: Simplify (* 1 1) into 1 6.393 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.394 * [backup-simplify]: Simplify 0 into 0 6.394 * [backup-simplify]: Simplify 0 into 0 6.394 * [backup-simplify]: Simplify 0 into 0 6.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.395 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.395 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.395 * [backup-simplify]: Simplify (+ 0 0) into 0 6.396 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.396 * [taylor]: Taking taylor expansion of 0 in im 6.396 * [backup-simplify]: Simplify 0 into 0 6.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.397 * [backup-simplify]: Simplify 0 into 0 6.397 * [backup-simplify]: Simplify 0 into 0 6.397 * [backup-simplify]: Simplify 0 into 0 6.397 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 6.397 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 6.397 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 6.397 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 6.397 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 6.397 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.397 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.398 * [taylor]: Taking taylor expansion of re in im 6.398 * [backup-simplify]: Simplify re into re 6.398 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.398 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.398 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.398 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.398 * [taylor]: Taking taylor expansion of im in im 6.398 * [backup-simplify]: Simplify 0 into 0 6.398 * [backup-simplify]: Simplify 1 into 1 6.398 * [backup-simplify]: Simplify (* 1 1) into 1 6.398 * [backup-simplify]: Simplify (/ 1 1) into 1 6.398 * [backup-simplify]: Simplify (+ 0 1) into 1 6.399 * [backup-simplify]: Simplify (sqrt 1) into 1 6.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.400 * [backup-simplify]: Simplify (+ 0 0) into 0 6.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.400 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.400 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.400 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.400 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.400 * [taylor]: Taking taylor expansion of re in re 6.400 * [backup-simplify]: Simplify 0 into 0 6.400 * [backup-simplify]: Simplify 1 into 1 6.401 * [backup-simplify]: Simplify (* 1 1) into 1 6.401 * [backup-simplify]: Simplify (/ 1 1) into 1 6.401 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.401 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.401 * [taylor]: Taking taylor expansion of im in re 6.401 * [backup-simplify]: Simplify im into im 6.401 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.401 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.401 * [backup-simplify]: Simplify (+ 1 0) into 1 6.402 * [backup-simplify]: Simplify (sqrt 1) into 1 6.402 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.403 * [backup-simplify]: Simplify (+ 0 0) into 0 6.403 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.403 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.403 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.403 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.403 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.403 * [taylor]: Taking taylor expansion of re in re 6.403 * [backup-simplify]: Simplify 0 into 0 6.403 * [backup-simplify]: Simplify 1 into 1 6.403 * [backup-simplify]: Simplify (* 1 1) into 1 6.404 * [backup-simplify]: Simplify (/ 1 1) into 1 6.404 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.404 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.404 * [taylor]: Taking taylor expansion of im in re 6.404 * [backup-simplify]: Simplify im into im 6.404 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.404 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.404 * [backup-simplify]: Simplify (+ 1 0) into 1 6.404 * [backup-simplify]: Simplify (sqrt 1) into 1 6.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.406 * [backup-simplify]: Simplify (+ 0 0) into 0 6.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.406 * [taylor]: Taking taylor expansion of 1 in im 6.406 * [backup-simplify]: Simplify 1 into 1 6.406 * [taylor]: Taking taylor expansion of 0 in im 6.406 * [backup-simplify]: Simplify 0 into 0 6.406 * [backup-simplify]: Simplify 1 into 1 6.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.407 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.408 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.408 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.408 * [taylor]: Taking taylor expansion of 1/2 in im 6.408 * [backup-simplify]: Simplify 1/2 into 1/2 6.408 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.408 * [taylor]: Taking taylor expansion of im in im 6.408 * [backup-simplify]: Simplify 0 into 0 6.408 * [backup-simplify]: Simplify 1 into 1 6.409 * [backup-simplify]: Simplify (* 1 1) into 1 6.409 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.410 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.410 * [backup-simplify]: Simplify 0 into 0 6.410 * [backup-simplify]: Simplify 0 into 0 6.410 * [backup-simplify]: Simplify 0 into 0 6.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.412 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.412 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.412 * [backup-simplify]: Simplify (+ 0 0) into 0 6.413 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.413 * [taylor]: Taking taylor expansion of 0 in im 6.413 * [backup-simplify]: Simplify 0 into 0 6.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.414 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.414 * [backup-simplify]: Simplify 0 into 0 6.414 * [backup-simplify]: Simplify 0 into 0 6.414 * [backup-simplify]: Simplify 0 into 0 6.414 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 6.414 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 6.414 * [backup-simplify]: Simplify (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2)))) 6.414 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0 6.414 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 6.415 * [taylor]: Taking taylor expansion of re in im 6.415 * [backup-simplify]: Simplify re into re 6.415 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 6.415 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 6.415 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.415 * [taylor]: Taking taylor expansion of im in im 6.415 * [backup-simplify]: Simplify 0 into 0 6.415 * [backup-simplify]: Simplify 1 into 1 6.415 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.415 * [taylor]: Taking taylor expansion of re in im 6.415 * [backup-simplify]: Simplify re into re 6.415 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.415 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 6.415 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 6.415 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.415 * [backup-simplify]: Simplify (+ 0 0) into 0 6.415 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 6.415 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 6.415 * [taylor]: Taking taylor expansion of re in re 6.415 * [backup-simplify]: Simplify 0 into 0 6.415 * [backup-simplify]: Simplify 1 into 1 6.415 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 6.415 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 6.415 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.415 * [taylor]: Taking taylor expansion of im in re 6.415 * [backup-simplify]: Simplify im into im 6.415 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.415 * [taylor]: Taking taylor expansion of re in re 6.415 * [backup-simplify]: Simplify 0 into 0 6.415 * [backup-simplify]: Simplify 1 into 1 6.415 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.415 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 6.416 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.416 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.416 * [backup-simplify]: Simplify (+ 0 0) into 0 6.416 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.416 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 6.416 * [taylor]: Taking taylor expansion of re in re 6.416 * [backup-simplify]: Simplify 0 into 0 6.416 * [backup-simplify]: Simplify 1 into 1 6.416 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 6.416 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 6.416 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.416 * [taylor]: Taking taylor expansion of im in re 6.416 * [backup-simplify]: Simplify im into im 6.416 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.416 * [taylor]: Taking taylor expansion of re in re 6.416 * [backup-simplify]: Simplify 0 into 0 6.416 * [backup-simplify]: Simplify 1 into 1 6.416 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.416 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 6.416 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.416 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.417 * [backup-simplify]: Simplify (+ 0 0) into 0 6.417 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.417 * [backup-simplify]: Simplify (+ 0 im) into im 6.417 * [taylor]: Taking taylor expansion of im in im 6.417 * [backup-simplify]: Simplify 0 into 0 6.417 * [backup-simplify]: Simplify 1 into 1 6.417 * [backup-simplify]: Simplify 0 into 0 6.417 * [backup-simplify]: Simplify (+ 1 0) into 1 6.417 * [taylor]: Taking taylor expansion of 1 in im 6.417 * [backup-simplify]: Simplify 1 into 1 6.417 * [backup-simplify]: Simplify 1 into 1 6.417 * [backup-simplify]: Simplify 1 into 1 6.417 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.418 * [backup-simplify]: Simplify (* 1 1) into 1 6.418 * [backup-simplify]: Simplify (+ 0 1) into 1 6.419 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 6.419 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 6.419 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 6.419 * [taylor]: Taking taylor expansion of 1/2 in im 6.419 * [backup-simplify]: Simplify 1/2 into 1/2 6.419 * [taylor]: Taking taylor expansion of (/ 1 im) in im 6.419 * [taylor]: Taking taylor expansion of im in im 6.419 * [backup-simplify]: Simplify 0 into 0 6.419 * [backup-simplify]: Simplify 1 into 1 6.419 * [backup-simplify]: Simplify (/ 1 1) into 1 6.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.421 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.421 * [backup-simplify]: Simplify 0 into 0 6.421 * [backup-simplify]: Simplify 0 into 0 6.421 * [backup-simplify]: Simplify 0 into 0 6.422 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 6.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.423 * [backup-simplify]: Simplify (+ 0 0) into 0 6.423 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 6.424 * [backup-simplify]: Simplify (+ 0 0) into 0 6.424 * [taylor]: Taking taylor expansion of 0 in im 6.424 * [backup-simplify]: Simplify 0 into 0 6.424 * [backup-simplify]: Simplify 0 into 0 6.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.426 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 6.426 * [backup-simplify]: Simplify 0 into 0 6.426 * [backup-simplify]: Simplify 0 into 0 6.426 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 6.427 * [backup-simplify]: Simplify (+ (* (* (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) 6.427 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 6.427 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 6.427 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.427 * [taylor]: Taking taylor expansion of re in im 6.427 * [backup-simplify]: Simplify re into re 6.427 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.427 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 6.427 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 6.427 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.427 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.427 * [taylor]: Taking taylor expansion of re in im 6.427 * [backup-simplify]: Simplify re into re 6.427 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.427 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.427 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.427 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.427 * [taylor]: Taking taylor expansion of im in im 6.428 * [backup-simplify]: Simplify 0 into 0 6.428 * [backup-simplify]: Simplify 1 into 1 6.428 * [backup-simplify]: Simplify (* 1 1) into 1 6.428 * [backup-simplify]: Simplify (/ 1 1) into 1 6.429 * [backup-simplify]: Simplify (+ 0 1) into 1 6.429 * [backup-simplify]: Simplify (sqrt 1) into 1 6.430 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.431 * [backup-simplify]: Simplify (+ 0 0) into 0 6.432 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.432 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 6.432 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.432 * [taylor]: Taking taylor expansion of re in re 6.432 * [backup-simplify]: Simplify 0 into 0 6.432 * [backup-simplify]: Simplify 1 into 1 6.432 * [backup-simplify]: Simplify (/ 1 1) into 1 6.432 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.432 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.432 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.432 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.432 * [taylor]: Taking taylor expansion of re in re 6.432 * [backup-simplify]: Simplify 0 into 0 6.432 * [backup-simplify]: Simplify 1 into 1 6.433 * [backup-simplify]: Simplify (* 1 1) into 1 6.433 * [backup-simplify]: Simplify (/ 1 1) into 1 6.433 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.433 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.433 * [taylor]: Taking taylor expansion of im in re 6.433 * [backup-simplify]: Simplify im into im 6.433 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.433 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.434 * [backup-simplify]: Simplify (+ 1 0) into 1 6.434 * [backup-simplify]: Simplify (sqrt 1) into 1 6.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.436 * [backup-simplify]: Simplify (+ 0 0) into 0 6.436 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.436 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 6.436 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.436 * [taylor]: Taking taylor expansion of re in re 6.436 * [backup-simplify]: Simplify 0 into 0 6.436 * [backup-simplify]: Simplify 1 into 1 6.437 * [backup-simplify]: Simplify (/ 1 1) into 1 6.437 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.437 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.437 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.437 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.437 * [taylor]: Taking taylor expansion of re in re 6.437 * [backup-simplify]: Simplify 0 into 0 6.437 * [backup-simplify]: Simplify 1 into 1 6.437 * [backup-simplify]: Simplify (* 1 1) into 1 6.438 * [backup-simplify]: Simplify (/ 1 1) into 1 6.438 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.438 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.438 * [taylor]: Taking taylor expansion of im in re 6.438 * [backup-simplify]: Simplify im into im 6.438 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.438 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.439 * [backup-simplify]: Simplify (+ 1 0) into 1 6.439 * [backup-simplify]: Simplify (sqrt 1) into 1 6.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.441 * [backup-simplify]: Simplify (+ 0 0) into 0 6.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.443 * [backup-simplify]: Simplify (+ 1 1) into 2 6.443 * [taylor]: Taking taylor expansion of 2 in im 6.443 * [backup-simplify]: Simplify 2 into 2 6.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.444 * [backup-simplify]: Simplify (+ 0 0) into 0 6.444 * [taylor]: Taking taylor expansion of 0 in im 6.444 * [backup-simplify]: Simplify 0 into 0 6.444 * [backup-simplify]: Simplify 2 into 2 6.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.447 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.448 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.448 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 6.448 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 6.448 * [taylor]: Taking taylor expansion of 1/2 in im 6.448 * [backup-simplify]: Simplify 1/2 into 1/2 6.448 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.448 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.448 * [taylor]: Taking taylor expansion of im in im 6.448 * [backup-simplify]: Simplify 0 into 0 6.448 * [backup-simplify]: Simplify 1 into 1 6.448 * [backup-simplify]: Simplify (* 1 1) into 1 6.449 * [backup-simplify]: Simplify (/ 1 1) into 1 6.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.451 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.451 * [backup-simplify]: Simplify 0 into 0 6.451 * [backup-simplify]: Simplify 0 into 0 6.451 * [backup-simplify]: Simplify 0 into 0 6.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.454 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.454 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.454 * [backup-simplify]: Simplify (+ 0 0) into 0 6.455 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.455 * [backup-simplify]: Simplify (+ 0 0) into 0 6.455 * [taylor]: Taking taylor expansion of 0 in im 6.455 * [backup-simplify]: Simplify 0 into 0 6.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.458 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 6.458 * [backup-simplify]: Simplify 0 into 0 6.458 * [backup-simplify]: Simplify 0 into 0 6.458 * [backup-simplify]: Simplify 0 into 0 6.458 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 6.459 * [backup-simplify]: Simplify (+ (* (* (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) 6.459 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 6.459 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 6.459 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 6.459 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 6.459 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.459 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.459 * [taylor]: Taking taylor expansion of re in im 6.459 * [backup-simplify]: Simplify re into re 6.460 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.460 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.460 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.460 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.460 * [taylor]: Taking taylor expansion of im in im 6.460 * [backup-simplify]: Simplify 0 into 0 6.460 * [backup-simplify]: Simplify 1 into 1 6.460 * [backup-simplify]: Simplify (* 1 1) into 1 6.460 * [backup-simplify]: Simplify (/ 1 1) into 1 6.461 * [backup-simplify]: Simplify (+ 0 1) into 1 6.461 * [backup-simplify]: Simplify (sqrt 1) into 1 6.462 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.463 * [backup-simplify]: Simplify (+ 0 0) into 0 6.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.463 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.463 * [taylor]: Taking taylor expansion of re in im 6.463 * [backup-simplify]: Simplify re into re 6.463 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.463 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 6.463 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.463 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.463 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.463 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.463 * [taylor]: Taking taylor expansion of re in re 6.463 * [backup-simplify]: Simplify 0 into 0 6.463 * [backup-simplify]: Simplify 1 into 1 6.463 * [backup-simplify]: Simplify (* 1 1) into 1 6.464 * [backup-simplify]: Simplify (/ 1 1) into 1 6.464 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.464 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.464 * [taylor]: Taking taylor expansion of im in re 6.464 * [backup-simplify]: Simplify im into im 6.464 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.464 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.464 * [backup-simplify]: Simplify (+ 1 0) into 1 6.464 * [backup-simplify]: Simplify (sqrt 1) into 1 6.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.465 * [backup-simplify]: Simplify (+ 0 0) into 0 6.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.466 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.466 * [taylor]: Taking taylor expansion of re in re 6.466 * [backup-simplify]: Simplify 0 into 0 6.466 * [backup-simplify]: Simplify 1 into 1 6.466 * [backup-simplify]: Simplify (/ 1 1) into 1 6.466 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 6.466 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.466 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.466 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.466 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.466 * [taylor]: Taking taylor expansion of re in re 6.466 * [backup-simplify]: Simplify 0 into 0 6.466 * [backup-simplify]: Simplify 1 into 1 6.467 * [backup-simplify]: Simplify (* 1 1) into 1 6.467 * [backup-simplify]: Simplify (/ 1 1) into 1 6.467 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.467 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.467 * [taylor]: Taking taylor expansion of im in re 6.467 * [backup-simplify]: Simplify im into im 6.467 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.467 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.467 * [backup-simplify]: Simplify (+ 1 0) into 1 6.468 * [backup-simplify]: Simplify (sqrt 1) into 1 6.468 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.469 * [backup-simplify]: Simplify (+ 0 0) into 0 6.469 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.469 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.469 * [taylor]: Taking taylor expansion of re in re 6.469 * [backup-simplify]: Simplify 0 into 0 6.469 * [backup-simplify]: Simplify 1 into 1 6.469 * [backup-simplify]: Simplify (/ 1 1) into 1 6.470 * [backup-simplify]: Simplify (- 1) into -1 6.470 * [backup-simplify]: Simplify (+ 1 -1) into 0 6.470 * [taylor]: Taking taylor expansion of 0 in im 6.470 * [backup-simplify]: Simplify 0 into 0 6.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.471 * [backup-simplify]: Simplify (- 0) into 0 6.471 * [backup-simplify]: Simplify (+ 0 0) into 0 6.471 * [taylor]: Taking taylor expansion of 0 in im 6.471 * [backup-simplify]: Simplify 0 into 0 6.471 * [backup-simplify]: Simplify 0 into 0 6.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.472 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.473 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.474 * [backup-simplify]: Simplify (- 0) into 0 6.474 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 6.474 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 6.474 * [taylor]: Taking taylor expansion of 1/2 in im 6.474 * [backup-simplify]: Simplify 1/2 into 1/2 6.474 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.474 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.474 * [taylor]: Taking taylor expansion of im in im 6.474 * [backup-simplify]: Simplify 0 into 0 6.474 * [backup-simplify]: Simplify 1 into 1 6.474 * [backup-simplify]: Simplify (* 1 1) into 1 6.475 * [backup-simplify]: Simplify (/ 1 1) into 1 6.475 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.479 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.479 * [backup-simplify]: Simplify 0 into 0 6.479 * [backup-simplify]: Simplify 0 into 0 6.479 * [backup-simplify]: Simplify 0 into 0 6.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.481 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.481 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.481 * [backup-simplify]: Simplify (+ 0 0) into 0 6.481 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.482 * [backup-simplify]: Simplify (- 0) into 0 6.482 * [backup-simplify]: Simplify (+ 0 0) into 0 6.482 * [taylor]: Taking taylor expansion of 0 in im 6.482 * [backup-simplify]: Simplify 0 into 0 6.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.484 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 6.484 * [backup-simplify]: Simplify 0 into 0 6.484 * [backup-simplify]: Simplify 0 into 0 6.484 * [backup-simplify]: Simplify 0 into 0 6.484 * * * [progress]: simplifying candidates 6.484 * * * * [progress]: [ 1 / 72 ] simplifiying candidate # 6.484 * * * * [progress]: [ 2 / 72 ] simplifiying candidate # 6.484 * * * * [progress]: [ 3 / 72 ] simplifiying candidate # 6.484 * * * * [progress]: [ 4 / 72 ] simplifiying candidate # 6.484 * * * * [progress]: [ 5 / 72 ] simplifiying candidate # 6.484 * * * * [progress]: [ 6 / 72 ] simplifiying candidate # 6.484 * * * * [progress]: [ 7 / 72 ] simplifiying candidate # 6.485 * * * * [progress]: [ 8 / 72 ] simplifiying candidate # 6.485 * * * * [progress]: [ 9 / 72 ] simplifiying candidate # 6.485 * * * * [progress]: [ 10 / 72 ] simplifiying candidate # 6.485 * * * * [progress]: [ 11 / 72 ] simplifiying candidate # 6.485 * * * * [progress]: [ 12 / 72 ] simplifiying candidate # 6.485 * * * * [progress]: [ 13 / 72 ] simplifiying candidate # 6.485 * * * * [progress]: [ 14 / 72 ] simplifiying candidate # 6.485 * * * * [progress]: [ 15 / 72 ] simplifiying candidate # 6.485 * * * * [progress]: [ 16 / 72 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))) re)))))> 6.485 * * * * [progress]: [ 17 / 72 ] simplifiying candidate # 6.485 * * * * [progress]: [ 18 / 72 ] simplifiying candidate # 6.485 * * * * [progress]: [ 19 / 72 ] simplifiying candidate # 6.485 * * * * [progress]: [ 20 / 72 ] simplifiying candidate # 6.485 * * * * [progress]: [ 21 / 72 ] simplifiying candidate # 6.485 * * * * [progress]: [ 22 / 72 ] simplifiying candidate # 6.485 * * * * [progress]: [ 23 / 72 ] simplifiying candidate # 6.485 * * * * [progress]: [ 24 / 72 ] simplifiying candidate # 6.485 * * * * [progress]: [ 25 / 72 ] simplifiying candidate # 6.485 * * * * [progress]: [ 26 / 72 ] simplifiying candidate # 6.485 * * * * [progress]: [ 27 / 72 ] simplifiying candidate # 6.486 * * * * [progress]: [ 28 / 72 ] simplifiying candidate # 6.486 * * * * [progress]: [ 29 / 72 ] simplifiying candidate # 6.486 * * * * [progress]: [ 30 / 72 ] simplifiying candidate # 6.486 * * * * [progress]: [ 31 / 72 ] simplifiying candidate # 6.486 * * * * [progress]: [ 32 / 72 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))> 6.486 * * * * [progress]: [ 33 / 72 ] simplifiying candidate # 6.486 * * * * [progress]: [ 34 / 72 ] simplifiying candidate # 6.486 * * * * [progress]: [ 35 / 72 ] simplifiying candidate # 6.486 * * * * [progress]: [ 36 / 72 ] simplifiying candidate # 6.486 * * * * [progress]: [ 37 / 72 ] simplifiying candidate # 6.486 * * * * [progress]: [ 38 / 72 ] simplifiying candidate # 6.486 * * * * [progress]: [ 39 / 72 ] simplifiying candidate # 6.486 * * * * [progress]: [ 40 / 72 ] simplifiying candidate # 6.486 * * * * [progress]: [ 41 / 72 ] simplifiying candidate # 6.486 * * * * [progress]: [ 42 / 72 ] simplifiying candidate # 6.486 * * * * [progress]: [ 43 / 72 ] simplifiying candidate # 6.486 * * * * [progress]: [ 44 / 72 ] simplifiying candidate # 6.486 * * * * [progress]: [ 45 / 72 ] simplifiying candidate # 6.486 * * * * [progress]: [ 46 / 72 ] simplifiying candidate # 6.486 * * * * [progress]: [ 47 / 72 ] simplifiying candidate # 6.486 * * * * [progress]: [ 48 / 72 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))> 6.487 * * * * [progress]: [ 49 / 72 ] simplifiying candidate # 6.487 * * * * [progress]: [ 50 / 72 ] simplifiying candidate # 6.487 * * * * [progress]: [ 51 / 72 ] simplifiying candidate # 6.487 * * * * [progress]: [ 52 / 72 ] simplifiying candidate # 6.487 * * * * [progress]: [ 53 / 72 ] simplifiying candidate # 6.487 * * * * [progress]: [ 54 / 72 ] simplifiying candidate # 6.487 * * * * [progress]: [ 55 / 72 ] simplifiying candidate # 6.487 * * * * [progress]: [ 56 / 72 ] simplifiying candidate # 6.487 * * * * [progress]: [ 57 / 72 ] simplifiying candidate # 6.487 * * * * [progress]: [ 58 / 72 ] simplifiying candidate # 6.487 * * * * [progress]: [ 59 / 72 ] simplifiying candidate #real (real->posit16 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))))> 6.487 * * * * [progress]: [ 60 / 72 ] simplifiying candidate # 6.487 * * * * [progress]: [ 61 / 72 ] simplifiying candidate # 6.487 * * * * [progress]: [ 62 / 72 ] simplifiying candidate # 6.487 * * * * [progress]: [ 63 / 72 ] simplifiying candidate # 6.487 * * * * [progress]: [ 64 / 72 ] simplifiying candidate # 6.487 * * * * [progress]: [ 65 / 72 ] simplifiying candidate # 6.487 * * * * [progress]: [ 66 / 72 ] simplifiying candidate # 6.487 * * * * [progress]: [ 67 / 72 ] simplifiying candidate # 6.487 * * * * [progress]: [ 68 / 72 ] simplifiying candidate # 6.487 * * * * [progress]: [ 69 / 72 ] simplifiying candidate # 6.487 * * * * [progress]: [ 70 / 72 ] simplifiying candidate # 6.487 * * * * [progress]: [ 71 / 72 ] simplifiying candidate # 6.487 * * * * [progress]: [ 72 / 72 ] simplifiying candidate # 6.488 * [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)))) (* (exp (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (exp re)) (log (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (exp (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (* (cbrt (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (* (* (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (sqrt (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (sqrt (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (+ (pow (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) 3) (pow re 3)) (+ (* (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (- (* re re) (* (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))) (- (* (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* re re)) (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) (real->posit16 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) im re (* -1 re) im re (* -1 re) im re (* -1 re) (+ re im) (* 2 re) 0 6.489 * * [simplify]: iteration 0: 64 enodes 6.503 * * [simplify]: iteration 1: 164 enodes 6.544 * * [simplify]: iteration 2: 396 enodes 6.695 * * [simplify]: iteration 3: 1077 enodes 7.513 * * [simplify]: iteration 4: 3284 enodes 8.641 * * [simplify]: iteration complete: 5001 enodes 8.641 * * [simplify]: Extracting #0: cost 33 inf + 0 8.653 * * [simplify]: Extracting #1: cost 182 inf + 46 8.657 * * [simplify]: Extracting #2: cost 637 inf + 1016 8.669 * * [simplify]: Extracting #3: cost 1034 inf + 17398 8.705 * * [simplify]: Extracting #4: cost 663 inf + 200969 8.796 * * [simplify]: Extracting #5: cost 152 inf + 441498 8.921 * * [simplify]: Extracting #6: cost 99 inf + 492995 9.057 * * [simplify]: Extracting #7: cost 19 inf + 505009 9.188 * * [simplify]: Extracting #8: cost 0 inf + 510376 9.326 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (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)) (* (- (* im im) (* re re)) (* re re)))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (* (+ re im) (- re im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (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)) (* (- (* im im) (* re re)) (* re re)))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (* (+ re im) (- re im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (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)) (* (- (* im im) (* re re)) (* re re)))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (* (+ re im) (- re im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (+ (sqrt (+ (* re re) (* im im))) re) (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (* (* re re) re) (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))) (+ (* re re) (- (+ (* re re) (* im im)) (* (sqrt (+ (* re re) (* im im))) re))) (* im im) (- (sqrt (+ (* re re) (* im im))) re) (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)) im re (- re) im re (- re) im re (- re) (+ re im) (* re 2) 0 9.337 * * * [progress]: adding candidates to table 9.885 * * [progress]: iteration 4 / 4 9.885 * * * [progress]: picking best candidate 9.938 * * * * [pick]: Picked # 9.938 * * * [progress]: localizing error 10.001 * * * [progress]: generating rewritten candidates 10.001 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1 2 1) 10.007 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 2 1 1 1) 10.011 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 2 1) 10.017 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1 1 1) 10.024 * * * [progress]: generating series expansions 10.024 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1 2 1) 10.024 * [backup-simplify]: Simplify (cbrt (+ (* re re) (* im im))) into (pow (+ (pow im 2) (pow re 2)) 1/3) 10.024 * [approximate]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in (re im) around 0 10.024 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in im 10.024 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in im 10.024 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in im 10.024 * [taylor]: Taking taylor expansion of 1/3 in im 10.024 * [backup-simplify]: Simplify 1/3 into 1/3 10.024 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in im 10.024 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 10.024 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.024 * [taylor]: Taking taylor expansion of im in im 10.024 * [backup-simplify]: Simplify 0 into 0 10.024 * [backup-simplify]: Simplify 1 into 1 10.024 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.024 * [taylor]: Taking taylor expansion of re in im 10.024 * [backup-simplify]: Simplify re into re 10.024 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.024 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 10.024 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 10.024 * [backup-simplify]: Simplify (* 1/3 (log (pow re 2))) into (* 1/3 (log (pow re 2))) 10.024 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow re 2)))) into (pow (pow re 2) 1/3) 10.024 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in re 10.024 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in re 10.024 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in re 10.024 * [taylor]: Taking taylor expansion of 1/3 in re 10.025 * [backup-simplify]: Simplify 1/3 into 1/3 10.025 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in re 10.025 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 10.025 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.025 * [taylor]: Taking taylor expansion of im in re 10.025 * [backup-simplify]: Simplify im into im 10.025 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.025 * [taylor]: Taking taylor expansion of re in re 10.025 * [backup-simplify]: Simplify 0 into 0 10.025 * [backup-simplify]: Simplify 1 into 1 10.025 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.025 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 10.025 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 10.025 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 10.025 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 10.025 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in re 10.025 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in re 10.025 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in re 10.025 * [taylor]: Taking taylor expansion of 1/3 in re 10.025 * [backup-simplify]: Simplify 1/3 into 1/3 10.025 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in re 10.025 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 10.025 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.025 * [taylor]: Taking taylor expansion of im in re 10.025 * [backup-simplify]: Simplify im into im 10.025 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.025 * [taylor]: Taking taylor expansion of re in re 10.025 * [backup-simplify]: Simplify 0 into 0 10.025 * [backup-simplify]: Simplify 1 into 1 10.025 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.025 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 10.025 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 10.025 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 10.025 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 10.025 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/3) in im 10.025 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow im 2)))) in im 10.026 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow im 2))) in im 10.026 * [taylor]: Taking taylor expansion of 1/3 in im 10.026 * [backup-simplify]: Simplify 1/3 into 1/3 10.026 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 10.026 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.026 * [taylor]: Taking taylor expansion of im in im 10.026 * [backup-simplify]: Simplify 0 into 0 10.026 * [backup-simplify]: Simplify 1 into 1 10.026 * [backup-simplify]: Simplify (* 1 1) into 1 10.026 * [backup-simplify]: Simplify (log 1) into 0 10.027 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 10.027 * [backup-simplify]: Simplify (* 1/3 (* 2 (log im))) into (* 2/3 (log im)) 10.027 * [backup-simplify]: Simplify (exp (* 2/3 (log im))) into (pow im 2/3) 10.027 * [backup-simplify]: Simplify (pow im 2/3) into (pow im 2/3) 10.027 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.027 * [backup-simplify]: Simplify (+ 0 0) into 0 10.028 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 10.028 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow im 2)))) into 0 10.029 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 10.029 * [taylor]: Taking taylor expansion of 0 in im 10.029 * [backup-simplify]: Simplify 0 into 0 10.029 * [backup-simplify]: Simplify 0 into 0 10.029 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.030 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.030 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 10.031 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log im)))) into 0 10.031 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 10.031 * [backup-simplify]: Simplify 0 into 0 10.031 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 10.032 * [backup-simplify]: Simplify (* 1 1) into 1 10.032 * [backup-simplify]: Simplify (+ 0 1) into 1 10.033 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2)) 10.033 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/3 (/ 1 (pow im 2))) 10.034 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 10.034 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) in im 10.034 * [taylor]: Taking taylor expansion of 1/3 in im 10.034 * [backup-simplify]: Simplify 1/3 into 1/3 10.034 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 4)) 1/3) in im 10.034 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 4))))) in im 10.034 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 4)))) in im 10.034 * [taylor]: Taking taylor expansion of 1/3 in im 10.034 * [backup-simplify]: Simplify 1/3 into 1/3 10.034 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 4))) in im 10.034 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 10.034 * [taylor]: Taking taylor expansion of (pow im 4) in im 10.034 * [taylor]: Taking taylor expansion of im in im 10.034 * [backup-simplify]: Simplify 0 into 0 10.034 * [backup-simplify]: Simplify 1 into 1 10.035 * [backup-simplify]: Simplify (* 1 1) into 1 10.035 * [backup-simplify]: Simplify (* 1 1) into 1 10.035 * [backup-simplify]: Simplify (/ 1 1) into 1 10.036 * [backup-simplify]: Simplify (log 1) into 0 10.036 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 10.036 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log im)))) into (* -4/3 (log im)) 10.036 * [backup-simplify]: Simplify (exp (* -4/3 (log im))) into (pow im -4/3) 10.037 * [backup-simplify]: Simplify (* 1/3 (pow im -4/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 10.037 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 10.037 * [backup-simplify]: Simplify 0 into 0 10.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.041 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 10.041 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 10.042 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0 10.044 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.044 * [backup-simplify]: Simplify 0 into 0 10.045 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 10.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.046 * [backup-simplify]: Simplify (+ 0 0) into 0 10.049 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow im 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 2) 1)))) 6) into 0 10.050 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0 10.052 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 10.052 * [taylor]: Taking taylor expansion of 0 in im 10.052 * [backup-simplify]: Simplify 0 into 0 10.052 * [backup-simplify]: Simplify 0 into 0 10.053 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.053 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.055 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.056 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 10.056 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log im))))) into 0 10.057 * [backup-simplify]: Simplify (* (exp (* -4/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 10.058 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow im -4/3))) into 0 10.058 * [backup-simplify]: Simplify 0 into 0 10.058 * [backup-simplify]: Simplify 0 into 0 10.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.064 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 10.065 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 10.066 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log im)))))) into 0 10.068 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 10.068 * [backup-simplify]: Simplify 0 into 0 10.068 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) (pow (* 1 re) 2)) (pow im 2/3)) into (+ (pow im 2/3) (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3)))) 10.069 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) 10.069 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in (re im) around 0 10.069 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in im 10.069 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 10.069 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 10.069 * [taylor]: Taking taylor expansion of 1/3 in im 10.069 * [backup-simplify]: Simplify 1/3 into 1/3 10.069 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 10.069 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 10.069 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.069 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.069 * [taylor]: Taking taylor expansion of re in im 10.069 * [backup-simplify]: Simplify re into re 10.069 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.069 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.069 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.069 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.069 * [taylor]: Taking taylor expansion of im in im 10.069 * [backup-simplify]: Simplify 0 into 0 10.069 * [backup-simplify]: Simplify 1 into 1 10.070 * [backup-simplify]: Simplify (* 1 1) into 1 10.070 * [backup-simplify]: Simplify (/ 1 1) into 1 10.071 * [backup-simplify]: Simplify (+ 0 1) into 1 10.071 * [backup-simplify]: Simplify (log 1) into 0 10.072 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 10.072 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 10.072 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 10.072 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 10.072 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 10.072 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 10.072 * [taylor]: Taking taylor expansion of 1/3 in re 10.072 * [backup-simplify]: Simplify 1/3 into 1/3 10.072 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.072 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.072 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.072 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.072 * [taylor]: Taking taylor expansion of re in re 10.072 * [backup-simplify]: Simplify 0 into 0 10.072 * [backup-simplify]: Simplify 1 into 1 10.072 * [backup-simplify]: Simplify (* 1 1) into 1 10.073 * [backup-simplify]: Simplify (/ 1 1) into 1 10.073 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.073 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.073 * [taylor]: Taking taylor expansion of im in re 10.073 * [backup-simplify]: Simplify im into im 10.073 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.073 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.074 * [backup-simplify]: Simplify (+ 1 0) into 1 10.074 * [backup-simplify]: Simplify (log 1) into 0 10.074 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 10.074 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 10.075 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 10.075 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 10.075 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 10.075 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 10.075 * [taylor]: Taking taylor expansion of 1/3 in re 10.075 * [backup-simplify]: Simplify 1/3 into 1/3 10.075 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.075 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.075 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.075 * [taylor]: Taking taylor expansion of re in re 10.075 * [backup-simplify]: Simplify 0 into 0 10.075 * [backup-simplify]: Simplify 1 into 1 10.075 * [backup-simplify]: Simplify (* 1 1) into 1 10.076 * [backup-simplify]: Simplify (/ 1 1) into 1 10.076 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.076 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.076 * [taylor]: Taking taylor expansion of im in re 10.076 * [backup-simplify]: Simplify im into im 10.076 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.076 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.076 * [backup-simplify]: Simplify (+ 1 0) into 1 10.077 * [backup-simplify]: Simplify (log 1) into 0 10.077 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 10.077 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 10.077 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 10.077 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 10.077 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 10.077 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 10.077 * [taylor]: Taking taylor expansion of -2/3 in im 10.077 * [backup-simplify]: Simplify -2/3 into -2/3 10.078 * [taylor]: Taking taylor expansion of (log re) in im 10.078 * [taylor]: Taking taylor expansion of re in im 10.078 * [backup-simplify]: Simplify re into re 10.078 * [backup-simplify]: Simplify (log re) into (log re) 10.078 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 10.078 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 10.078 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 10.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.080 * [backup-simplify]: Simplify (+ 0 0) into 0 10.084 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.085 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 10.085 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 10.086 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 10.086 * [taylor]: Taking taylor expansion of 0 in im 10.086 * [backup-simplify]: Simplify 0 into 0 10.086 * [backup-simplify]: Simplify 0 into 0 10.086 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 10.087 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 10.087 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 10.087 * [backup-simplify]: Simplify 0 into 0 10.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.088 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 10.089 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 10.090 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 10.090 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 10.091 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 10.091 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 10.091 * [taylor]: Taking taylor expansion of 1/3 in im 10.091 * [backup-simplify]: Simplify 1/3 into 1/3 10.091 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 10.091 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 10.091 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 10.091 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 10.091 * [taylor]: Taking taylor expansion of 1/3 in im 10.091 * [backup-simplify]: Simplify 1/3 into 1/3 10.091 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 10.091 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.091 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.091 * [taylor]: Taking taylor expansion of re in im 10.091 * [backup-simplify]: Simplify re into re 10.091 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.091 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.091 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 10.091 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 10.091 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 10.091 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.091 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.091 * [taylor]: Taking taylor expansion of im in im 10.091 * [backup-simplify]: Simplify 0 into 0 10.091 * [backup-simplify]: Simplify 1 into 1 10.092 * [backup-simplify]: Simplify (* 1 1) into 1 10.092 * [backup-simplify]: Simplify (/ 1 1) into 1 10.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.094 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 10.094 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 10.094 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 10.095 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 10.095 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 10.096 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 10.096 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 10.097 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 10.097 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 10.098 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.099 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 10.099 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 10.099 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 10.100 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 10.100 * [backup-simplify]: Simplify 0 into 0 10.100 * [backup-simplify]: Simplify 0 into 0 10.101 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 10.101 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 10.102 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.102 * [backup-simplify]: Simplify 0 into 0 10.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.103 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.104 * [backup-simplify]: Simplify (+ 0 0) into 0 10.106 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 10.106 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 10.106 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 10.108 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 10.108 * [taylor]: Taking taylor expansion of 0 in im 10.108 * [backup-simplify]: Simplify 0 into 0 10.108 * [backup-simplify]: Simplify 0 into 0 10.108 * [backup-simplify]: Simplify (pow (/ 1 re) -2/3) into (pow (/ 1 re) -2/3) 10.108 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) 10.108 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in (re im) around 0 10.108 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in im 10.108 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 10.108 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 10.108 * [taylor]: Taking taylor expansion of 1/3 in im 10.108 * [backup-simplify]: Simplify 1/3 into 1/3 10.108 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 10.108 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 10.108 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.108 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.108 * [taylor]: Taking taylor expansion of re in im 10.108 * [backup-simplify]: Simplify re into re 10.108 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.108 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.108 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.108 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.108 * [taylor]: Taking taylor expansion of im in im 10.108 * [backup-simplify]: Simplify 0 into 0 10.108 * [backup-simplify]: Simplify 1 into 1 10.109 * [backup-simplify]: Simplify (* 1 1) into 1 10.109 * [backup-simplify]: Simplify (/ 1 1) into 1 10.109 * [backup-simplify]: Simplify (+ 0 1) into 1 10.109 * [backup-simplify]: Simplify (log 1) into 0 10.110 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 10.110 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 10.110 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 10.110 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 10.110 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 10.110 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 10.110 * [taylor]: Taking taylor expansion of 1/3 in re 10.110 * [backup-simplify]: Simplify 1/3 into 1/3 10.110 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.110 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.110 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.110 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.110 * [taylor]: Taking taylor expansion of re in re 10.110 * [backup-simplify]: Simplify 0 into 0 10.110 * [backup-simplify]: Simplify 1 into 1 10.110 * [backup-simplify]: Simplify (* 1 1) into 1 10.110 * [backup-simplify]: Simplify (/ 1 1) into 1 10.111 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.111 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.111 * [taylor]: Taking taylor expansion of im in re 10.111 * [backup-simplify]: Simplify im into im 10.111 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.111 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.111 * [backup-simplify]: Simplify (+ 1 0) into 1 10.111 * [backup-simplify]: Simplify (log 1) into 0 10.111 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 10.111 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 10.112 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 10.112 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 10.112 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 10.112 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 10.112 * [taylor]: Taking taylor expansion of 1/3 in re 10.112 * [backup-simplify]: Simplify 1/3 into 1/3 10.112 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.112 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.112 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.112 * [taylor]: Taking taylor expansion of re in re 10.112 * [backup-simplify]: Simplify 0 into 0 10.112 * [backup-simplify]: Simplify 1 into 1 10.112 * [backup-simplify]: Simplify (* 1 1) into 1 10.112 * [backup-simplify]: Simplify (/ 1 1) into 1 10.112 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.112 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.112 * [taylor]: Taking taylor expansion of im in re 10.112 * [backup-simplify]: Simplify im into im 10.112 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.112 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.113 * [backup-simplify]: Simplify (+ 1 0) into 1 10.113 * [backup-simplify]: Simplify (log 1) into 0 10.113 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 10.113 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 10.113 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 10.113 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 10.113 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 10.113 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 10.113 * [taylor]: Taking taylor expansion of -2/3 in im 10.113 * [backup-simplify]: Simplify -2/3 into -2/3 10.113 * [taylor]: Taking taylor expansion of (log re) in im 10.113 * [taylor]: Taking taylor expansion of re in im 10.113 * [backup-simplify]: Simplify re into re 10.113 * [backup-simplify]: Simplify (log re) into (log re) 10.114 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 10.114 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 10.114 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 10.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.115 * [backup-simplify]: Simplify (+ 0 0) into 0 10.117 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.117 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 10.118 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 10.119 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 10.119 * [taylor]: Taking taylor expansion of 0 in im 10.119 * [backup-simplify]: Simplify 0 into 0 10.119 * [backup-simplify]: Simplify 0 into 0 10.120 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 10.120 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 10.121 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 10.121 * [backup-simplify]: Simplify 0 into 0 10.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.123 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 10.125 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 10.125 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 10.126 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 10.127 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 10.127 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 10.127 * [taylor]: Taking taylor expansion of 1/3 in im 10.127 * [backup-simplify]: Simplify 1/3 into 1/3 10.127 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 10.127 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 10.127 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 10.127 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 10.127 * [taylor]: Taking taylor expansion of 1/3 in im 10.127 * [backup-simplify]: Simplify 1/3 into 1/3 10.127 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 10.127 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.127 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.127 * [taylor]: Taking taylor expansion of re in im 10.127 * [backup-simplify]: Simplify re into re 10.127 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.127 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.128 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 10.128 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 10.128 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 10.128 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.128 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.128 * [taylor]: Taking taylor expansion of im in im 10.128 * [backup-simplify]: Simplify 0 into 0 10.128 * [backup-simplify]: Simplify 1 into 1 10.128 * [backup-simplify]: Simplify (* 1 1) into 1 10.129 * [backup-simplify]: Simplify (/ 1 1) into 1 10.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.133 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 10.133 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 10.134 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 10.134 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 10.135 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 10.136 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 10.136 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 10.137 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 10.138 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 10.140 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.141 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 10.141 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 10.141 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 10.142 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 10.142 * [backup-simplify]: Simplify 0 into 0 10.142 * [backup-simplify]: Simplify 0 into 0 10.144 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 10.145 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 10.146 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.146 * [backup-simplify]: Simplify 0 into 0 10.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.148 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.149 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.149 * [backup-simplify]: Simplify (+ 0 0) into 0 10.152 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 10.153 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 10.154 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 10.156 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 10.156 * [taylor]: Taking taylor expansion of 0 in im 10.156 * [backup-simplify]: Simplify 0 into 0 10.156 * [backup-simplify]: Simplify 0 into 0 10.156 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -2/3) into (pow (/ -1 re) -2/3) 10.156 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 2 1 1 1) 10.156 * [backup-simplify]: Simplify (cbrt (+ (* re re) (* im im))) into (pow (+ (pow im 2) (pow re 2)) 1/3) 10.156 * [approximate]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in (re im) around 0 10.156 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in im 10.156 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in im 10.156 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in im 10.156 * [taylor]: Taking taylor expansion of 1/3 in im 10.156 * [backup-simplify]: Simplify 1/3 into 1/3 10.156 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in im 10.156 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 10.156 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.156 * [taylor]: Taking taylor expansion of im in im 10.156 * [backup-simplify]: Simplify 0 into 0 10.156 * [backup-simplify]: Simplify 1 into 1 10.156 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.156 * [taylor]: Taking taylor expansion of re in im 10.156 * [backup-simplify]: Simplify re into re 10.157 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.157 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 10.157 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 10.157 * [backup-simplify]: Simplify (* 1/3 (log (pow re 2))) into (* 1/3 (log (pow re 2))) 10.157 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow re 2)))) into (pow (pow re 2) 1/3) 10.157 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in re 10.157 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in re 10.157 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in re 10.157 * [taylor]: Taking taylor expansion of 1/3 in re 10.157 * [backup-simplify]: Simplify 1/3 into 1/3 10.157 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in re 10.157 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 10.157 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.157 * [taylor]: Taking taylor expansion of im in re 10.157 * [backup-simplify]: Simplify im into im 10.157 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.157 * [taylor]: Taking taylor expansion of re in re 10.157 * [backup-simplify]: Simplify 0 into 0 10.157 * [backup-simplify]: Simplify 1 into 1 10.157 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.157 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 10.157 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 10.157 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 10.158 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 10.158 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in re 10.158 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in re 10.158 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in re 10.158 * [taylor]: Taking taylor expansion of 1/3 in re 10.158 * [backup-simplify]: Simplify 1/3 into 1/3 10.158 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in re 10.158 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 10.158 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.158 * [taylor]: Taking taylor expansion of im in re 10.158 * [backup-simplify]: Simplify im into im 10.158 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.158 * [taylor]: Taking taylor expansion of re in re 10.158 * [backup-simplify]: Simplify 0 into 0 10.158 * [backup-simplify]: Simplify 1 into 1 10.158 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.158 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 10.158 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 10.158 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 10.158 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 10.158 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/3) in im 10.158 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow im 2)))) in im 10.158 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow im 2))) in im 10.158 * [taylor]: Taking taylor expansion of 1/3 in im 10.159 * [backup-simplify]: Simplify 1/3 into 1/3 10.159 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 10.159 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.159 * [taylor]: Taking taylor expansion of im in im 10.159 * [backup-simplify]: Simplify 0 into 0 10.159 * [backup-simplify]: Simplify 1 into 1 10.159 * [backup-simplify]: Simplify (* 1 1) into 1 10.160 * [backup-simplify]: Simplify (log 1) into 0 10.160 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 10.160 * [backup-simplify]: Simplify (* 1/3 (* 2 (log im))) into (* 2/3 (log im)) 10.160 * [backup-simplify]: Simplify (exp (* 2/3 (log im))) into (pow im 2/3) 10.160 * [backup-simplify]: Simplify (pow im 2/3) into (pow im 2/3) 10.160 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.161 * [backup-simplify]: Simplify (+ 0 0) into 0 10.162 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 10.162 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow im 2)))) into 0 10.163 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 10.163 * [taylor]: Taking taylor expansion of 0 in im 10.163 * [backup-simplify]: Simplify 0 into 0 10.163 * [backup-simplify]: Simplify 0 into 0 10.164 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.166 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.166 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 10.167 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log im)))) into 0 10.167 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 10.168 * [backup-simplify]: Simplify 0 into 0 10.168 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 10.168 * [backup-simplify]: Simplify (* 1 1) into 1 10.169 * [backup-simplify]: Simplify (+ 0 1) into 1 10.171 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2)) 10.171 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/3 (/ 1 (pow im 2))) 10.172 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 10.172 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) in im 10.172 * [taylor]: Taking taylor expansion of 1/3 in im 10.172 * [backup-simplify]: Simplify 1/3 into 1/3 10.172 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 4)) 1/3) in im 10.172 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 4))))) in im 10.172 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 4)))) in im 10.172 * [taylor]: Taking taylor expansion of 1/3 in im 10.172 * [backup-simplify]: Simplify 1/3 into 1/3 10.172 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 4))) in im 10.172 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 10.172 * [taylor]: Taking taylor expansion of (pow im 4) in im 10.172 * [taylor]: Taking taylor expansion of im in im 10.173 * [backup-simplify]: Simplify 0 into 0 10.173 * [backup-simplify]: Simplify 1 into 1 10.173 * [backup-simplify]: Simplify (* 1 1) into 1 10.173 * [backup-simplify]: Simplify (* 1 1) into 1 10.174 * [backup-simplify]: Simplify (/ 1 1) into 1 10.174 * [backup-simplify]: Simplify (log 1) into 0 10.175 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 10.175 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log im)))) into (* -4/3 (log im)) 10.175 * [backup-simplify]: Simplify (exp (* -4/3 (log im))) into (pow im -4/3) 10.175 * [backup-simplify]: Simplify (* 1/3 (pow im -4/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 10.175 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 10.175 * [backup-simplify]: Simplify 0 into 0 10.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.179 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 10.180 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 10.180 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0 10.182 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.182 * [backup-simplify]: Simplify 0 into 0 10.183 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 10.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.184 * [backup-simplify]: Simplify (+ 0 0) into 0 10.187 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow im 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 2) 1)))) 6) into 0 10.188 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0 10.190 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 10.190 * [taylor]: Taking taylor expansion of 0 in im 10.190 * [backup-simplify]: Simplify 0 into 0 10.190 * [backup-simplify]: Simplify 0 into 0 10.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.192 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.194 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.195 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 10.195 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log im))))) into 0 10.196 * [backup-simplify]: Simplify (* (exp (* -4/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 10.197 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow im -4/3))) into 0 10.197 * [backup-simplify]: Simplify 0 into 0 10.197 * [backup-simplify]: Simplify 0 into 0 10.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.203 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 10.203 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 10.204 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log im)))))) into 0 10.205 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 10.205 * [backup-simplify]: Simplify 0 into 0 10.205 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) (pow (* 1 re) 2)) (pow im 2/3)) into (+ (pow im 2/3) (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3)))) 10.205 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) 10.205 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in (re im) around 0 10.205 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in im 10.205 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 10.206 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 10.206 * [taylor]: Taking taylor expansion of 1/3 in im 10.206 * [backup-simplify]: Simplify 1/3 into 1/3 10.206 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 10.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 10.206 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.206 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.206 * [taylor]: Taking taylor expansion of re in im 10.206 * [backup-simplify]: Simplify re into re 10.206 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.206 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.206 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.206 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.206 * [taylor]: Taking taylor expansion of im in im 10.206 * [backup-simplify]: Simplify 0 into 0 10.206 * [backup-simplify]: Simplify 1 into 1 10.206 * [backup-simplify]: Simplify (* 1 1) into 1 10.206 * [backup-simplify]: Simplify (/ 1 1) into 1 10.207 * [backup-simplify]: Simplify (+ 0 1) into 1 10.207 * [backup-simplify]: Simplify (log 1) into 0 10.207 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 10.207 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 10.207 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 10.207 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 10.207 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 10.207 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 10.207 * [taylor]: Taking taylor expansion of 1/3 in re 10.207 * [backup-simplify]: Simplify 1/3 into 1/3 10.207 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.207 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.207 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.207 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.207 * [taylor]: Taking taylor expansion of re in re 10.207 * [backup-simplify]: Simplify 0 into 0 10.207 * [backup-simplify]: Simplify 1 into 1 10.208 * [backup-simplify]: Simplify (* 1 1) into 1 10.208 * [backup-simplify]: Simplify (/ 1 1) into 1 10.208 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.208 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.208 * [taylor]: Taking taylor expansion of im in re 10.208 * [backup-simplify]: Simplify im into im 10.208 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.208 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.208 * [backup-simplify]: Simplify (+ 1 0) into 1 10.209 * [backup-simplify]: Simplify (log 1) into 0 10.209 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 10.209 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 10.209 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 10.209 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 10.209 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 10.209 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 10.209 * [taylor]: Taking taylor expansion of 1/3 in re 10.209 * [backup-simplify]: Simplify 1/3 into 1/3 10.209 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.209 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.209 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.209 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.209 * [taylor]: Taking taylor expansion of re in re 10.209 * [backup-simplify]: Simplify 0 into 0 10.209 * [backup-simplify]: Simplify 1 into 1 10.215 * [backup-simplify]: Simplify (* 1 1) into 1 10.216 * [backup-simplify]: Simplify (/ 1 1) into 1 10.216 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.216 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.216 * [taylor]: Taking taylor expansion of im in re 10.216 * [backup-simplify]: Simplify im into im 10.216 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.216 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.216 * [backup-simplify]: Simplify (+ 1 0) into 1 10.217 * [backup-simplify]: Simplify (log 1) into 0 10.217 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 10.217 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 10.217 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 10.217 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 10.217 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 10.217 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 10.217 * [taylor]: Taking taylor expansion of -2/3 in im 10.217 * [backup-simplify]: Simplify -2/3 into -2/3 10.217 * [taylor]: Taking taylor expansion of (log re) in im 10.217 * [taylor]: Taking taylor expansion of re in im 10.217 * [backup-simplify]: Simplify re into re 10.217 * [backup-simplify]: Simplify (log re) into (log re) 10.217 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 10.217 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 10.218 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 10.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.219 * [backup-simplify]: Simplify (+ 0 0) into 0 10.220 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.220 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 10.220 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 10.221 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 10.221 * [taylor]: Taking taylor expansion of 0 in im 10.221 * [backup-simplify]: Simplify 0 into 0 10.221 * [backup-simplify]: Simplify 0 into 0 10.221 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 10.222 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 10.222 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 10.222 * [backup-simplify]: Simplify 0 into 0 10.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.223 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 10.224 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 10.225 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 10.225 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 10.226 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 10.226 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 10.226 * [taylor]: Taking taylor expansion of 1/3 in im 10.226 * [backup-simplify]: Simplify 1/3 into 1/3 10.226 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 10.226 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 10.226 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 10.226 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 10.226 * [taylor]: Taking taylor expansion of 1/3 in im 10.226 * [backup-simplify]: Simplify 1/3 into 1/3 10.226 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 10.226 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.226 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.226 * [taylor]: Taking taylor expansion of re in im 10.226 * [backup-simplify]: Simplify re into re 10.226 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.226 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.226 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 10.226 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 10.226 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 10.226 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.226 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.226 * [taylor]: Taking taylor expansion of im in im 10.226 * [backup-simplify]: Simplify 0 into 0 10.226 * [backup-simplify]: Simplify 1 into 1 10.226 * [backup-simplify]: Simplify (* 1 1) into 1 10.227 * [backup-simplify]: Simplify (/ 1 1) into 1 10.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.229 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 10.229 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 10.229 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 10.230 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 10.230 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 10.231 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 10.231 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 10.232 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 10.232 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 10.233 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.233 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 10.234 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 10.234 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 10.235 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 10.235 * [backup-simplify]: Simplify 0 into 0 10.235 * [backup-simplify]: Simplify 0 into 0 10.236 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 10.236 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 10.237 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.237 * [backup-simplify]: Simplify 0 into 0 10.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.238 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.239 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.239 * [backup-simplify]: Simplify (+ 0 0) into 0 10.241 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 10.242 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 10.242 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 10.244 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 10.244 * [taylor]: Taking taylor expansion of 0 in im 10.244 * [backup-simplify]: Simplify 0 into 0 10.244 * [backup-simplify]: Simplify 0 into 0 10.244 * [backup-simplify]: Simplify (pow (/ 1 re) -2/3) into (pow (/ 1 re) -2/3) 10.244 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) 10.244 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in (re im) around 0 10.244 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in im 10.244 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 10.244 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 10.244 * [taylor]: Taking taylor expansion of 1/3 in im 10.244 * [backup-simplify]: Simplify 1/3 into 1/3 10.244 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 10.244 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 10.244 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.244 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.244 * [taylor]: Taking taylor expansion of re in im 10.244 * [backup-simplify]: Simplify re into re 10.244 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.244 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.244 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.244 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.244 * [taylor]: Taking taylor expansion of im in im 10.244 * [backup-simplify]: Simplify 0 into 0 10.244 * [backup-simplify]: Simplify 1 into 1 10.245 * [backup-simplify]: Simplify (* 1 1) into 1 10.245 * [backup-simplify]: Simplify (/ 1 1) into 1 10.245 * [backup-simplify]: Simplify (+ 0 1) into 1 10.245 * [backup-simplify]: Simplify (log 1) into 0 10.246 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 10.246 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 10.246 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 10.246 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 10.246 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 10.246 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 10.246 * [taylor]: Taking taylor expansion of 1/3 in re 10.246 * [backup-simplify]: Simplify 1/3 into 1/3 10.246 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.246 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.246 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.246 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.246 * [taylor]: Taking taylor expansion of re in re 10.246 * [backup-simplify]: Simplify 0 into 0 10.246 * [backup-simplify]: Simplify 1 into 1 10.246 * [backup-simplify]: Simplify (* 1 1) into 1 10.247 * [backup-simplify]: Simplify (/ 1 1) into 1 10.247 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.247 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.247 * [taylor]: Taking taylor expansion of im in re 10.247 * [backup-simplify]: Simplify im into im 10.247 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.247 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.248 * [backup-simplify]: Simplify (+ 1 0) into 1 10.248 * [backup-simplify]: Simplify (log 1) into 0 10.248 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 10.248 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 10.248 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 10.248 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 10.248 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 10.248 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 10.248 * [taylor]: Taking taylor expansion of 1/3 in re 10.248 * [backup-simplify]: Simplify 1/3 into 1/3 10.248 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.248 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.248 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.248 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.248 * [taylor]: Taking taylor expansion of re in re 10.248 * [backup-simplify]: Simplify 0 into 0 10.248 * [backup-simplify]: Simplify 1 into 1 10.249 * [backup-simplify]: Simplify (* 1 1) into 1 10.249 * [backup-simplify]: Simplify (/ 1 1) into 1 10.249 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.249 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.249 * [taylor]: Taking taylor expansion of im in re 10.249 * [backup-simplify]: Simplify im into im 10.249 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.249 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.249 * [backup-simplify]: Simplify (+ 1 0) into 1 10.250 * [backup-simplify]: Simplify (log 1) into 0 10.250 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 10.250 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 10.250 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 10.250 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 10.250 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 10.250 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 10.250 * [taylor]: Taking taylor expansion of -2/3 in im 10.250 * [backup-simplify]: Simplify -2/3 into -2/3 10.250 * [taylor]: Taking taylor expansion of (log re) in im 10.250 * [taylor]: Taking taylor expansion of re in im 10.250 * [backup-simplify]: Simplify re into re 10.250 * [backup-simplify]: Simplify (log re) into (log re) 10.250 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 10.250 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 10.250 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 10.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.251 * [backup-simplify]: Simplify (+ 0 0) into 0 10.252 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.252 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 10.253 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 10.253 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 10.253 * [taylor]: Taking taylor expansion of 0 in im 10.253 * [backup-simplify]: Simplify 0 into 0 10.253 * [backup-simplify]: Simplify 0 into 0 10.254 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 10.254 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 10.255 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 10.255 * [backup-simplify]: Simplify 0 into 0 10.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.257 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 10.259 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 10.259 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 10.260 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 10.261 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 10.261 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 10.261 * [taylor]: Taking taylor expansion of 1/3 in im 10.261 * [backup-simplify]: Simplify 1/3 into 1/3 10.261 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 10.261 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 10.261 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 10.261 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 10.261 * [taylor]: Taking taylor expansion of 1/3 in im 10.261 * [backup-simplify]: Simplify 1/3 into 1/3 10.261 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 10.261 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.261 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.261 * [taylor]: Taking taylor expansion of re in im 10.261 * [backup-simplify]: Simplify re into re 10.261 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.261 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.261 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 10.261 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 10.261 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 10.261 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.261 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.261 * [taylor]: Taking taylor expansion of im in im 10.261 * [backup-simplify]: Simplify 0 into 0 10.261 * [backup-simplify]: Simplify 1 into 1 10.262 * [backup-simplify]: Simplify (* 1 1) into 1 10.262 * [backup-simplify]: Simplify (/ 1 1) into 1 10.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.265 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 10.265 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 10.266 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 10.267 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 10.268 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 10.268 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 10.269 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 10.270 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 10.271 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 10.273 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.274 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 10.274 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 10.274 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 10.275 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 10.275 * [backup-simplify]: Simplify 0 into 0 10.276 * [backup-simplify]: Simplify 0 into 0 10.277 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 10.278 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 10.279 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.279 * [backup-simplify]: Simplify 0 into 0 10.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.281 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.282 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.282 * [backup-simplify]: Simplify (+ 0 0) into 0 10.285 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 10.286 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 10.287 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 10.289 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 10.289 * [taylor]: Taking taylor expansion of 0 in im 10.289 * [backup-simplify]: Simplify 0 into 0 10.289 * [backup-simplify]: Simplify 0 into 0 10.289 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -2/3) into (pow (/ -1 re) -2/3) 10.289 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 2 1) 10.289 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 10.289 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 10.289 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 10.289 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 10.289 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.289 * [taylor]: Taking taylor expansion of im in im 10.289 * [backup-simplify]: Simplify 0 into 0 10.289 * [backup-simplify]: Simplify 1 into 1 10.289 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.289 * [taylor]: Taking taylor expansion of re in im 10.289 * [backup-simplify]: Simplify re into re 10.290 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.290 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 10.290 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 10.290 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 10.290 * [backup-simplify]: Simplify (+ 0 0) into 0 10.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 10.290 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 10.290 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 10.290 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.290 * [taylor]: Taking taylor expansion of im in re 10.290 * [backup-simplify]: Simplify im into im 10.290 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.291 * [taylor]: Taking taylor expansion of re in re 10.291 * [backup-simplify]: Simplify 0 into 0 10.291 * [backup-simplify]: Simplify 1 into 1 10.291 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.291 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 10.291 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.291 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.291 * [backup-simplify]: Simplify (+ 0 0) into 0 10.291 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.291 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 10.291 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 10.291 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.291 * [taylor]: Taking taylor expansion of im in re 10.291 * [backup-simplify]: Simplify im into im 10.291 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.291 * [taylor]: Taking taylor expansion of re in re 10.292 * [backup-simplify]: Simplify 0 into 0 10.292 * [backup-simplify]: Simplify 1 into 1 10.292 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.292 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 10.292 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.292 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.292 * [backup-simplify]: Simplify (+ 0 0) into 0 10.292 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.292 * [taylor]: Taking taylor expansion of im in im 10.292 * [backup-simplify]: Simplify 0 into 0 10.292 * [backup-simplify]: Simplify 1 into 1 10.293 * [backup-simplify]: Simplify 0 into 0 10.293 * [taylor]: Taking taylor expansion of 0 in im 10.293 * [backup-simplify]: Simplify 0 into 0 10.293 * [backup-simplify]: Simplify 0 into 0 10.293 * [backup-simplify]: Simplify 1 into 1 10.293 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 10.293 * [backup-simplify]: Simplify (* 1 1) into 1 10.294 * [backup-simplify]: Simplify (+ 0 1) into 1 10.295 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 10.295 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 10.295 * [taylor]: Taking taylor expansion of 1/2 in im 10.295 * [backup-simplify]: Simplify 1/2 into 1/2 10.295 * [taylor]: Taking taylor expansion of im in im 10.295 * [backup-simplify]: Simplify 0 into 0 10.295 * [backup-simplify]: Simplify 1 into 1 10.295 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.296 * [backup-simplify]: Simplify 0 into 0 10.296 * [backup-simplify]: Simplify 0 into 0 10.297 * [backup-simplify]: Simplify 0 into 0 10.297 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 10.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.298 * [backup-simplify]: Simplify (+ 0 0) into 0 10.299 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 10.299 * [taylor]: Taking taylor expansion of 0 in im 10.299 * [backup-simplify]: Simplify 0 into 0 10.299 * [backup-simplify]: Simplify 0 into 0 10.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.300 * [backup-simplify]: Simplify 0 into 0 10.300 * [backup-simplify]: Simplify 0 into 0 10.300 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 10.300 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 10.300 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 10.300 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 10.300 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 10.300 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.300 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.301 * [taylor]: Taking taylor expansion of re in im 10.301 * [backup-simplify]: Simplify re into re 10.301 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.301 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.301 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.301 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.301 * [taylor]: Taking taylor expansion of im in im 10.301 * [backup-simplify]: Simplify 0 into 0 10.301 * [backup-simplify]: Simplify 1 into 1 10.301 * [backup-simplify]: Simplify (* 1 1) into 1 10.302 * [backup-simplify]: Simplify (/ 1 1) into 1 10.302 * [backup-simplify]: Simplify (+ 0 1) into 1 10.302 * [backup-simplify]: Simplify (sqrt 1) into 1 10.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.304 * [backup-simplify]: Simplify (+ 0 0) into 0 10.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.305 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.305 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.305 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.305 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.305 * [taylor]: Taking taylor expansion of re in re 10.305 * [backup-simplify]: Simplify 0 into 0 10.305 * [backup-simplify]: Simplify 1 into 1 10.305 * [backup-simplify]: Simplify (* 1 1) into 1 10.306 * [backup-simplify]: Simplify (/ 1 1) into 1 10.306 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.306 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.306 * [taylor]: Taking taylor expansion of im in re 10.306 * [backup-simplify]: Simplify im into im 10.306 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.306 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.306 * [backup-simplify]: Simplify (+ 1 0) into 1 10.307 * [backup-simplify]: Simplify (sqrt 1) into 1 10.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.308 * [backup-simplify]: Simplify (+ 0 0) into 0 10.309 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.309 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.309 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.309 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.309 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.309 * [taylor]: Taking taylor expansion of re in re 10.309 * [backup-simplify]: Simplify 0 into 0 10.310 * [backup-simplify]: Simplify 1 into 1 10.310 * [backup-simplify]: Simplify (* 1 1) into 1 10.310 * [backup-simplify]: Simplify (/ 1 1) into 1 10.310 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.310 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.310 * [taylor]: Taking taylor expansion of im in re 10.310 * [backup-simplify]: Simplify im into im 10.310 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.310 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.311 * [backup-simplify]: Simplify (+ 1 0) into 1 10.311 * [backup-simplify]: Simplify (sqrt 1) into 1 10.312 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.313 * [backup-simplify]: Simplify (+ 0 0) into 0 10.314 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.314 * [taylor]: Taking taylor expansion of 1 in im 10.314 * [backup-simplify]: Simplify 1 into 1 10.314 * [taylor]: Taking taylor expansion of 0 in im 10.314 * [backup-simplify]: Simplify 0 into 0 10.314 * [backup-simplify]: Simplify 1 into 1 10.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.316 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 10.317 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.317 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 10.317 * [taylor]: Taking taylor expansion of 1/2 in im 10.317 * [backup-simplify]: Simplify 1/2 into 1/2 10.317 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.317 * [taylor]: Taking taylor expansion of im in im 10.317 * [backup-simplify]: Simplify 0 into 0 10.317 * [backup-simplify]: Simplify 1 into 1 10.317 * [backup-simplify]: Simplify (* 1 1) into 1 10.318 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.319 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.319 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.320 * [backup-simplify]: Simplify 0 into 0 10.320 * [backup-simplify]: Simplify 0 into 0 10.320 * [backup-simplify]: Simplify 0 into 0 10.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.322 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.322 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.322 * [backup-simplify]: Simplify (+ 0 0) into 0 10.323 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.323 * [taylor]: Taking taylor expansion of 0 in im 10.323 * [backup-simplify]: Simplify 0 into 0 10.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.325 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.325 * [backup-simplify]: Simplify 0 into 0 10.325 * [backup-simplify]: Simplify 0 into 0 10.325 * [backup-simplify]: Simplify 0 into 0 10.325 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 10.325 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 10.325 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 10.325 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 10.325 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 10.325 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.325 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.325 * [taylor]: Taking taylor expansion of re in im 10.325 * [backup-simplify]: Simplify re into re 10.326 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.326 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.326 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.326 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.326 * [taylor]: Taking taylor expansion of im in im 10.326 * [backup-simplify]: Simplify 0 into 0 10.326 * [backup-simplify]: Simplify 1 into 1 10.326 * [backup-simplify]: Simplify (* 1 1) into 1 10.327 * [backup-simplify]: Simplify (/ 1 1) into 1 10.327 * [backup-simplify]: Simplify (+ 0 1) into 1 10.327 * [backup-simplify]: Simplify (sqrt 1) into 1 10.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.329 * [backup-simplify]: Simplify (+ 0 0) into 0 10.330 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.330 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.330 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.330 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.330 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.330 * [taylor]: Taking taylor expansion of re in re 10.330 * [backup-simplify]: Simplify 0 into 0 10.330 * [backup-simplify]: Simplify 1 into 1 10.330 * [backup-simplify]: Simplify (* 1 1) into 1 10.330 * [backup-simplify]: Simplify (/ 1 1) into 1 10.331 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.331 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.331 * [taylor]: Taking taylor expansion of im in re 10.331 * [backup-simplify]: Simplify im into im 10.331 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.331 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.331 * [backup-simplify]: Simplify (+ 1 0) into 1 10.332 * [backup-simplify]: Simplify (sqrt 1) into 1 10.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.333 * [backup-simplify]: Simplify (+ 0 0) into 0 10.334 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.334 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.334 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.334 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.334 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.334 * [taylor]: Taking taylor expansion of re in re 10.334 * [backup-simplify]: Simplify 0 into 0 10.334 * [backup-simplify]: Simplify 1 into 1 10.338 * [backup-simplify]: Simplify (* 1 1) into 1 10.339 * [backup-simplify]: Simplify (/ 1 1) into 1 10.339 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.339 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.339 * [taylor]: Taking taylor expansion of im in re 10.339 * [backup-simplify]: Simplify im into im 10.339 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.340 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.340 * [backup-simplify]: Simplify (+ 1 0) into 1 10.341 * [backup-simplify]: Simplify (sqrt 1) into 1 10.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.343 * [backup-simplify]: Simplify (+ 0 0) into 0 10.343 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.343 * [taylor]: Taking taylor expansion of 1 in im 10.343 * [backup-simplify]: Simplify 1 into 1 10.343 * [taylor]: Taking taylor expansion of 0 in im 10.343 * [backup-simplify]: Simplify 0 into 0 10.343 * [backup-simplify]: Simplify 1 into 1 10.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.345 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 10.347 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.347 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 10.347 * [taylor]: Taking taylor expansion of 1/2 in im 10.347 * [backup-simplify]: Simplify 1/2 into 1/2 10.347 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.347 * [taylor]: Taking taylor expansion of im in im 10.347 * [backup-simplify]: Simplify 0 into 0 10.347 * [backup-simplify]: Simplify 1 into 1 10.347 * [backup-simplify]: Simplify (* 1 1) into 1 10.348 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.349 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.349 * [backup-simplify]: Simplify 0 into 0 10.349 * [backup-simplify]: Simplify 0 into 0 10.349 * [backup-simplify]: Simplify 0 into 0 10.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.352 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.352 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.352 * [backup-simplify]: Simplify (+ 0 0) into 0 10.353 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.353 * [taylor]: Taking taylor expansion of 0 in im 10.353 * [backup-simplify]: Simplify 0 into 0 10.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.355 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.355 * [backup-simplify]: Simplify 0 into 0 10.355 * [backup-simplify]: Simplify 0 into 0 10.355 * [backup-simplify]: Simplify 0 into 0 10.355 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 10.355 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1 1 1) 10.355 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 10.355 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 10.356 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 10.356 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 10.356 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.356 * [taylor]: Taking taylor expansion of im in im 10.356 * [backup-simplify]: Simplify 0 into 0 10.356 * [backup-simplify]: Simplify 1 into 1 10.356 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.356 * [taylor]: Taking taylor expansion of re in im 10.356 * [backup-simplify]: Simplify re into re 10.356 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.356 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 10.356 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 10.356 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 10.356 * [backup-simplify]: Simplify (+ 0 0) into 0 10.357 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 10.357 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 10.357 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 10.357 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.357 * [taylor]: Taking taylor expansion of im in re 10.357 * [backup-simplify]: Simplify im into im 10.357 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.357 * [taylor]: Taking taylor expansion of re in re 10.357 * [backup-simplify]: Simplify 0 into 0 10.357 * [backup-simplify]: Simplify 1 into 1 10.357 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.357 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 10.357 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.357 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.358 * [backup-simplify]: Simplify (+ 0 0) into 0 10.358 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.358 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 10.358 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 10.358 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.358 * [taylor]: Taking taylor expansion of im in re 10.358 * [backup-simplify]: Simplify im into im 10.358 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.358 * [taylor]: Taking taylor expansion of re in re 10.358 * [backup-simplify]: Simplify 0 into 0 10.358 * [backup-simplify]: Simplify 1 into 1 10.358 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.358 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 10.358 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.358 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.359 * [backup-simplify]: Simplify (+ 0 0) into 0 10.359 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.359 * [taylor]: Taking taylor expansion of im in im 10.359 * [backup-simplify]: Simplify 0 into 0 10.359 * [backup-simplify]: Simplify 1 into 1 10.359 * [backup-simplify]: Simplify 0 into 0 10.359 * [taylor]: Taking taylor expansion of 0 in im 10.359 * [backup-simplify]: Simplify 0 into 0 10.359 * [backup-simplify]: Simplify 0 into 0 10.359 * [backup-simplify]: Simplify 1 into 1 10.359 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 10.360 * [backup-simplify]: Simplify (* 1 1) into 1 10.360 * [backup-simplify]: Simplify (+ 0 1) into 1 10.361 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 10.361 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 10.361 * [taylor]: Taking taylor expansion of 1/2 in im 10.361 * [backup-simplify]: Simplify 1/2 into 1/2 10.361 * [taylor]: Taking taylor expansion of im in im 10.361 * [backup-simplify]: Simplify 0 into 0 10.361 * [backup-simplify]: Simplify 1 into 1 10.362 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.363 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.363 * [backup-simplify]: Simplify 0 into 0 10.363 * [backup-simplify]: Simplify 0 into 0 10.363 * [backup-simplify]: Simplify 0 into 0 10.364 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 10.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.365 * [backup-simplify]: Simplify (+ 0 0) into 0 10.365 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 10.365 * [taylor]: Taking taylor expansion of 0 in im 10.365 * [backup-simplify]: Simplify 0 into 0 10.365 * [backup-simplify]: Simplify 0 into 0 10.366 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.366 * [backup-simplify]: Simplify 0 into 0 10.366 * [backup-simplify]: Simplify 0 into 0 10.366 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 10.366 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 10.366 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 10.366 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 10.367 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 10.367 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.367 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.367 * [taylor]: Taking taylor expansion of re in im 10.367 * [backup-simplify]: Simplify re into re 10.367 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.367 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.367 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.367 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.367 * [taylor]: Taking taylor expansion of im in im 10.367 * [backup-simplify]: Simplify 0 into 0 10.367 * [backup-simplify]: Simplify 1 into 1 10.367 * [backup-simplify]: Simplify (* 1 1) into 1 10.368 * [backup-simplify]: Simplify (/ 1 1) into 1 10.368 * [backup-simplify]: Simplify (+ 0 1) into 1 10.368 * [backup-simplify]: Simplify (sqrt 1) into 1 10.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.370 * [backup-simplify]: Simplify (+ 0 0) into 0 10.371 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.371 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.371 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.371 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.371 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.371 * [taylor]: Taking taylor expansion of re in re 10.371 * [backup-simplify]: Simplify 0 into 0 10.371 * [backup-simplify]: Simplify 1 into 1 10.371 * [backup-simplify]: Simplify (* 1 1) into 1 10.372 * [backup-simplify]: Simplify (/ 1 1) into 1 10.372 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.372 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.372 * [taylor]: Taking taylor expansion of im in re 10.372 * [backup-simplify]: Simplify im into im 10.372 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.372 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.372 * [backup-simplify]: Simplify (+ 1 0) into 1 10.373 * [backup-simplify]: Simplify (sqrt 1) into 1 10.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.375 * [backup-simplify]: Simplify (+ 0 0) into 0 10.375 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.375 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.375 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.375 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.375 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.375 * [taylor]: Taking taylor expansion of re in re 10.375 * [backup-simplify]: Simplify 0 into 0 10.375 * [backup-simplify]: Simplify 1 into 1 10.376 * [backup-simplify]: Simplify (* 1 1) into 1 10.376 * [backup-simplify]: Simplify (/ 1 1) into 1 10.376 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.376 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.376 * [taylor]: Taking taylor expansion of im in re 10.376 * [backup-simplify]: Simplify im into im 10.376 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.376 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.377 * [backup-simplify]: Simplify (+ 1 0) into 1 10.377 * [backup-simplify]: Simplify (sqrt 1) into 1 10.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.379 * [backup-simplify]: Simplify (+ 0 0) into 0 10.379 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.379 * [taylor]: Taking taylor expansion of 1 in im 10.380 * [backup-simplify]: Simplify 1 into 1 10.380 * [taylor]: Taking taylor expansion of 0 in im 10.380 * [backup-simplify]: Simplify 0 into 0 10.380 * [backup-simplify]: Simplify 1 into 1 10.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.381 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 10.383 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.383 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 10.383 * [taylor]: Taking taylor expansion of 1/2 in im 10.383 * [backup-simplify]: Simplify 1/2 into 1/2 10.383 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.383 * [taylor]: Taking taylor expansion of im in im 10.383 * [backup-simplify]: Simplify 0 into 0 10.383 * [backup-simplify]: Simplify 1 into 1 10.383 * [backup-simplify]: Simplify (* 1 1) into 1 10.384 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.384 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.385 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.385 * [backup-simplify]: Simplify 0 into 0 10.385 * [backup-simplify]: Simplify 0 into 0 10.385 * [backup-simplify]: Simplify 0 into 0 10.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.387 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.388 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.388 * [backup-simplify]: Simplify (+ 0 0) into 0 10.389 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.389 * [taylor]: Taking taylor expansion of 0 in im 10.389 * [backup-simplify]: Simplify 0 into 0 10.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.391 * [backup-simplify]: Simplify 0 into 0 10.391 * [backup-simplify]: Simplify 0 into 0 10.391 * [backup-simplify]: Simplify 0 into 0 10.391 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 10.392 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 10.392 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 10.392 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 10.392 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 10.392 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.392 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.392 * [taylor]: Taking taylor expansion of re in im 10.392 * [backup-simplify]: Simplify re into re 10.392 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.392 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.392 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.392 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.392 * [taylor]: Taking taylor expansion of im in im 10.392 * [backup-simplify]: Simplify 0 into 0 10.392 * [backup-simplify]: Simplify 1 into 1 10.392 * [backup-simplify]: Simplify (* 1 1) into 1 10.393 * [backup-simplify]: Simplify (/ 1 1) into 1 10.393 * [backup-simplify]: Simplify (+ 0 1) into 1 10.394 * [backup-simplify]: Simplify (sqrt 1) into 1 10.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.395 * [backup-simplify]: Simplify (+ 0 0) into 0 10.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.396 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.396 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.396 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.396 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.396 * [taylor]: Taking taylor expansion of re in re 10.396 * [backup-simplify]: Simplify 0 into 0 10.396 * [backup-simplify]: Simplify 1 into 1 10.397 * [backup-simplify]: Simplify (* 1 1) into 1 10.397 * [backup-simplify]: Simplify (/ 1 1) into 1 10.397 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.397 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.397 * [taylor]: Taking taylor expansion of im in re 10.397 * [backup-simplify]: Simplify im into im 10.397 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.397 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.398 * [backup-simplify]: Simplify (+ 1 0) into 1 10.398 * [backup-simplify]: Simplify (sqrt 1) into 1 10.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.400 * [backup-simplify]: Simplify (+ 0 0) into 0 10.401 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.401 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.401 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.401 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.401 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.401 * [taylor]: Taking taylor expansion of re in re 10.401 * [backup-simplify]: Simplify 0 into 0 10.401 * [backup-simplify]: Simplify 1 into 1 10.401 * [backup-simplify]: Simplify (* 1 1) into 1 10.402 * [backup-simplify]: Simplify (/ 1 1) into 1 10.402 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.402 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.402 * [taylor]: Taking taylor expansion of im in re 10.402 * [backup-simplify]: Simplify im into im 10.402 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.402 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.402 * [backup-simplify]: Simplify (+ 1 0) into 1 10.403 * [backup-simplify]: Simplify (sqrt 1) into 1 10.403 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.405 * [backup-simplify]: Simplify (+ 0 0) into 0 10.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.405 * [taylor]: Taking taylor expansion of 1 in im 10.405 * [backup-simplify]: Simplify 1 into 1 10.406 * [taylor]: Taking taylor expansion of 0 in im 10.406 * [backup-simplify]: Simplify 0 into 0 10.406 * [backup-simplify]: Simplify 1 into 1 10.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.408 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 10.409 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.409 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 10.409 * [taylor]: Taking taylor expansion of 1/2 in im 10.409 * [backup-simplify]: Simplify 1/2 into 1/2 10.409 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.409 * [taylor]: Taking taylor expansion of im in im 10.409 * [backup-simplify]: Simplify 0 into 0 10.409 * [backup-simplify]: Simplify 1 into 1 10.409 * [backup-simplify]: Simplify (* 1 1) into 1 10.410 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.411 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.412 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.412 * [backup-simplify]: Simplify 0 into 0 10.412 * [backup-simplify]: Simplify 0 into 0 10.412 * [backup-simplify]: Simplify 0 into 0 10.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.414 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.414 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.414 * [backup-simplify]: Simplify (+ 0 0) into 0 10.415 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.415 * [taylor]: Taking taylor expansion of 0 in im 10.415 * [backup-simplify]: Simplify 0 into 0 10.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.417 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.417 * [backup-simplify]: Simplify 0 into 0 10.417 * [backup-simplify]: Simplify 0 into 0 10.417 * [backup-simplify]: Simplify 0 into 0 10.417 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 10.417 * * * [progress]: simplifying candidates 10.417 * * * * [progress]: [ 1 / 72 ] simplifiying candidate # 10.418 * * * * [progress]: [ 2 / 72 ] simplifiying candidate # 10.418 * * * * [progress]: [ 3 / 72 ] simplifiying candidate # 10.418 * * * * [progress]: [ 4 / 72 ] simplifiying candidate # 10.418 * * * * [progress]: [ 5 / 72 ] simplifiying candidate # 10.418 * * * * [progress]: [ 6 / 72 ] simplifiying candidate # 10.418 * * * * [progress]: [ 7 / 72 ] simplifiying candidate # 10.418 * * * * [progress]: [ 8 / 72 ] simplifiying candidate # 10.418 * * * * [progress]: [ 9 / 72 ] simplifiying candidate # 10.418 * * * * [progress]: [ 10 / 72 ] simplifiying candidate # 10.418 * * * * [progress]: [ 11 / 72 ] simplifiying candidate # 10.418 * * * * [progress]: [ 12 / 72 ] simplifiying candidate # 10.418 * * * * [progress]: [ 13 / 72 ] simplifiying candidate # 10.419 * * * * [progress]: [ 14 / 72 ] simplifiying candidate #real (real->posit16 (cbrt (+ (* re re) (* im im))))))))) re)))))> 10.419 * * * * [progress]: [ 15 / 72 ] simplifiying candidate # 10.419 * * * * [progress]: [ 16 / 72 ] simplifiying candidate # 10.419 * * * * [progress]: [ 17 / 72 ] simplifiying candidate # 10.419 * * * * [progress]: [ 18 / 72 ] simplifiying candidate # 10.419 * * * * [progress]: [ 19 / 72 ] simplifiying candidate # 10.419 * * * * [progress]: [ 20 / 72 ] simplifiying candidate # 10.419 * * * * [progress]: [ 21 / 72 ] simplifiying candidate # 10.419 * * * * [progress]: [ 22 / 72 ] simplifiying candidate # 10.419 * * * * [progress]: [ 23 / 72 ] simplifiying candidate # 10.419 * * * * [progress]: [ 24 / 72 ] simplifiying candidate # 10.419 * * * * [progress]: [ 25 / 72 ] simplifiying candidate # 10.420 * * * * [progress]: [ 26 / 72 ] simplifiying candidate # 10.420 * * * * [progress]: [ 27 / 72 ] simplifiying candidate # 10.420 * * * * [progress]: [ 28 / 72 ] simplifiying candidate #real (real->posit16 (cbrt (+ (* re re) (* im im)))))) (sqrt (cbrt (+ (* re re) (* im im))))))) re)))))> 10.420 * * * * [progress]: [ 29 / 72 ] simplifiying candidate # 10.420 * * * * [progress]: [ 30 / 72 ] simplifiying candidate # 10.420 * * * * [progress]: [ 31 / 72 ] simplifiying candidate # 10.420 * * * * [progress]: [ 32 / 72 ] simplifiying candidate # 10.420 * * * * [progress]: [ 33 / 72 ] simplifiying candidate # 10.420 * * * * [progress]: [ 34 / 72 ] simplifiying candidate # 10.420 * * * * [progress]: [ 35 / 72 ] simplifiying candidate # 10.420 * * * * [progress]: [ 36 / 72 ] simplifiying candidate # 10.420 * * * * [progress]: [ 37 / 72 ] simplifiying candidate # 10.421 * * * * [progress]: [ 38 / 72 ] simplifiying candidate # 10.421 * * * * [progress]: [ 39 / 72 ] simplifiying candidate # 10.421 * * * * [progress]: [ 40 / 72 ] simplifiying candidate # 10.421 * * * * [progress]: [ 41 / 72 ] simplifiying candidate # 10.421 * * * * [progress]: [ 42 / 72 ] simplifiying candidate # 10.421 * * * * [progress]: [ 43 / 72 ] simplifiying candidate # 10.421 * * * * [progress]: [ 44 / 72 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))) (cbrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) re)))))> 10.421 * * * * [progress]: [ 45 / 72 ] simplifiying candidate # 10.421 * * * * [progress]: [ 46 / 72 ] simplifiying candidate # 10.421 * * * * [progress]: [ 47 / 72 ] simplifiying candidate # 10.421 * * * * [progress]: [ 48 / 72 ] simplifiying candidate # 10.421 * * * * [progress]: [ 49 / 72 ] simplifiying candidate # 10.422 * * * * [progress]: [ 50 / 72 ] simplifiying candidate # 10.422 * * * * [progress]: [ 51 / 72 ] simplifiying candidate # 10.422 * * * * [progress]: [ 52 / 72 ] simplifiying candidate # 10.422 * * * * [progress]: [ 53 / 72 ] simplifiying candidate # 10.422 * * * * [progress]: [ 54 / 72 ] simplifiying candidate # 10.422 * * * * [progress]: [ 55 / 72 ] simplifiying candidate # 10.422 * * * * [progress]: [ 56 / 72 ] simplifiying candidate # 10.422 * * * * [progress]: [ 57 / 72 ] simplifiying candidate # 10.422 * * * * [progress]: [ 58 / 72 ] simplifiying candidate # 10.422 * * * * [progress]: [ 59 / 72 ] simplifiying candidate # 10.422 * * * * [progress]: [ 60 / 72 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))))) re)))))> 10.422 * * * * [progress]: [ 61 / 72 ] simplifiying candidate # 10.423 * * * * [progress]: [ 62 / 72 ] simplifiying candidate # 10.423 * * * * [progress]: [ 63 / 72 ] simplifiying candidate # 10.423 * * * * [progress]: [ 64 / 72 ] simplifiying candidate # 10.423 * * * * [progress]: [ 65 / 72 ] simplifiying candidate # 10.423 * * * * [progress]: [ 66 / 72 ] simplifiying candidate # 10.423 * * * * [progress]: [ 67 / 72 ] simplifiying candidate # 10.423 * * * * [progress]: [ 68 / 72 ] simplifiying candidate # 10.423 * * * * [progress]: [ 69 / 72 ] simplifiying candidate # 10.423 * * * * [progress]: [ 70 / 72 ] simplifiying candidate # 10.423 * * * * [progress]: [ 71 / 72 ] simplifiying candidate # 10.423 * * * * [progress]: [ 72 / 72 ] simplifiying candidate # 10.425 * [simplify]: Simplifying: (log (cbrt (+ (* re re) (* im im)))) (exp (cbrt (+ (* re re) (* im im)))) (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt 1) (cbrt (+ (* re re) (* im im))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (- (* re re) (* im im))) (* (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (real->posit16 (cbrt (+ (* re re) (* im im)))) (log (cbrt (+ (* re re) (* im im)))) (exp (cbrt (+ (* re re) (* im im)))) (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt 1) (cbrt (+ (* re re) (* im im))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (- (* re re) (* im im))) (* (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (real->posit16 (cbrt (+ (* 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)))) (+ (pow im 2/3) (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3)))) (pow (/ 1 re) -2/3) (pow (/ -1 re) -2/3) (+ (pow im 2/3) (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3)))) (pow (/ 1 re) -2/3) (pow (/ -1 re) -2/3) im re (* -1 re) im re (* -1 re) 10.426 * * [simplify]: iteration 0: 67 enodes 10.455 * * [simplify]: iteration 1: 144 enodes 10.508 * * [simplify]: iteration 2: 332 enodes 10.652 * * [simplify]: iteration 3: 1085 enodes 11.838 * * [simplify]: iteration 4: 4298 enodes 12.904 * * [simplify]: iteration complete: 5001 enodes 12.904 * * [simplify]: Extracting #0: cost 34 inf + 0 12.905 * * [simplify]: Extracting #1: cost 62 inf + 4 12.905 * * [simplify]: Extracting #2: cost 437 inf + 458 12.909 * * [simplify]: Extracting #3: cost 1150 inf + 8359 12.920 * * [simplify]: Extracting #4: cost 867 inf + 52291 12.944 * * [simplify]: Extracting #5: cost 549 inf + 112094 12.994 * * [simplify]: Extracting #6: cost 152 inf + 268256 13.060 * * [simplify]: Extracting #7: cost 9 inf + 346714 13.148 * * [simplify]: Extracting #8: cost 0 inf + 352657 13.210 * [simplify]: Simplified to: (log (cbrt (+ (* re re) (* im im)))) (exp (cbrt (+ (* re re) (* im im)))) (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) 1 (cbrt (+ (* re re) (* im im))) (cbrt (+ (* (* im im) (* (* im im) (* im im))) (* (* re (* re re)) (* re (* re re))))) (cbrt (+ (* (* re re) (- (* re re) (* im im))) (* (* im im) (* im im)))) (cbrt (* (+ (* re re) (* im im)) (- (* re re) (* im im)))) (cbrt (- (* re re) (* im im))) (* (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (+ (* re re) (* im im)) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (real->posit16 (cbrt (+ (* re re) (* im im)))) (log (cbrt (+ (* re re) (* im im)))) (exp (cbrt (+ (* re re) (* im im)))) (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) 1 (cbrt (+ (* re re) (* im im))) (cbrt (+ (* (* im im) (* (* im im) (* im im))) (* (* re (* re re)) (* re (* re re))))) (cbrt (+ (* (* re re) (- (* re re) (* im im))) (* (* im im) (* im im)))) (cbrt (* (+ (* re re) (* im im)) (- (* re re) (* im im)))) (cbrt (- (* re re) (* im im))) (* (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (+ (* re re) (* im im)) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (real->posit16 (cbrt (+ (* 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 (+ (* (* im im) (* (* im im) (* im im))) (* (* re (* re re)) (* re (* re re))))) (sqrt (+ (* (* re re) (- (* re re) (* im im))) (* (* im im) (* im im)))) (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (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 (+ (* (* im im) (* (* im im) (* im im))) (* (* re (* re re)) (* re (* re re))))) (sqrt (+ (* (* re re) (- (* re re) (* im im))) (* (* im im) (* im im)))) (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (+ (* (cbrt (/ 1 (* (* im im) (* im im)))) (* (* re re) 1/3)) (* (cbrt im) (cbrt im))) (pow (/ 1 re) -2/3) (pow (/ -1 re) -2/3) (+ (* (cbrt (/ 1 (* (* im im) (* im im)))) (* (* re re) 1/3)) (* (cbrt im) (cbrt im))) (pow (/ 1 re) -2/3) (pow (/ -1 re) -2/3) im re (- re) im re (- re) 13.224 * * * [progress]: adding candidates to table 13.791 * [progress]: [Phase 3 of 3] Extracting. 13.791 * * [regime]: Finding splitpoints for: (# # # # # # # # #real (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)))))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))>) 13.795 * * * [regime-changes]: Trying 6 branch expressions: ((* im im) (+ (sqrt (+ (* re re) (* im im))) re) (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) im re) 13.795 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # # #real (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)))))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))>) 13.890 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # #real (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)))))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))>) 13.961 * * * * [regimes]: Trying to branch on (+ (sqrt (+ (* re re) (* im im))) re) from (# # # # # # # # #real (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)))))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))>) 14.040 * * * * [regimes]: Trying to branch on (+ (sqrt (+ (* re re) (* im im))) re) from (# #real (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)))))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))>) 14.068 * * * * [regimes]: Trying to branch on (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) from (# # # # # # # # #real (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)))))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))>) 14.170 * * * * [regimes]: Trying to branch on (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) from (# # # # # # # # #real (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)))))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))>) 14.256 * * * * [regimes]: Trying to branch on im from (# # # # # # # # #real (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)))))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))>) 14.357 * * * * [regimes]: Trying to branch on re from (# # # # # # # # #real (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)))))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))>) 14.483 * * * [regime]: Found split indices: #