45.403 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.035 * * * [progress]: [2/2] Setting up program. 0.043 * [progress]: [Phase 2 of 3] Improving. 0.043 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.043 * [simplify]: Simplifying: (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.043 * * [simplify]: iteration 0: 12 enodes 0.052 * * [simplify]: iteration 1: 22 enodes 0.067 * * [simplify]: iteration 2: 24 enodes 0.089 * * [simplify]: iteration complete: 24 enodes 0.089 * * [simplify]: Extracting #0: cost 1 inf + 0 0.089 * * [simplify]: Extracting #1: cost 3 inf + 0 0.089 * * [simplify]: Extracting #2: cost 3 inf + 1 0.089 * * [simplify]: Extracting #3: cost 7 inf + 1 0.089 * * [simplify]: Extracting #4: cost 8 inf + 2 0.089 * * [simplify]: Extracting #5: cost 8 inf + 3 0.089 * * [simplify]: Extracting #6: cost 9 inf + 45 0.089 * * [simplify]: Extracting #7: cost 9 inf + 86 0.089 * * [simplify]: Extracting #8: cost 7 inf + 128 0.089 * * [simplify]: Extracting #9: cost 5 inf + 412 0.089 * * [simplify]: Extracting #10: cost 2 inf + 1060 0.090 * * [simplify]: Extracting #11: cost 0 inf + 1667 0.090 * [simplify]: Simplified to: (* 0.5 (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2.0))) 0.091 * * [progress]: iteration 1 / 4 0.091 * * * [progress]: picking best candidate 0.106 * * * * [pick]: Picked # 0.106 * * * [progress]: localizing error 0.136 * * * [progress]: generating rewritten candidates 0.137 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.158 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.215 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.265 * * * [progress]: generating series expansions 0.265 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.266 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 0.266 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 0.266 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.266 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.266 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.266 * [taylor]: Taking taylor expansion of im in im 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 1 into 1 0.266 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.266 * [taylor]: Taking taylor expansion of re in im 0.266 * [backup-simplify]: Simplify re into re 0.266 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.266 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.266 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.267 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.267 * [backup-simplify]: Simplify (+ 0 0) into 0 0.267 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.267 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.267 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.267 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.267 * [taylor]: Taking taylor expansion of im in re 0.268 * [backup-simplify]: Simplify im into im 0.268 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.268 * [taylor]: Taking taylor expansion of re in re 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.268 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.268 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.268 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.269 * [backup-simplify]: Simplify (+ 0 0) into 0 0.269 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.269 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.269 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.269 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.269 * [taylor]: Taking taylor expansion of im in re 0.269 * [backup-simplify]: Simplify im into im 0.269 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.269 * [taylor]: Taking taylor expansion of re in re 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 1 into 1 0.269 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.269 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.270 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.270 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.270 * [backup-simplify]: Simplify (+ 0 0) into 0 0.270 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.270 * [taylor]: Taking taylor expansion of im in im 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify 1 into 1 0.270 * [backup-simplify]: Simplify 0 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 0 into 0 0.271 * [backup-simplify]: Simplify 1 into 1 0.271 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.271 * [backup-simplify]: Simplify (* 1 1) into 1 0.271 * [backup-simplify]: Simplify (+ 0 1) into 1 0.272 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.272 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.272 * [taylor]: Taking taylor expansion of 1/2 in im 0.272 * [backup-simplify]: Simplify 1/2 into 1/2 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 0.272 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.273 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.274 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.275 * [backup-simplify]: Simplify (+ 0 0) into 0 0.275 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.275 * [taylor]: Taking taylor expansion of 0 in im 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.276 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 0.276 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 0.276 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.276 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.276 * [taylor]: Taking taylor expansion of re in im 0.276 * [backup-simplify]: Simplify re into re 0.276 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.277 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.277 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.277 * [taylor]: Taking taylor expansion of im in im 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify 1 into 1 0.277 * [backup-simplify]: Simplify (* 1 1) into 1 0.277 * [backup-simplify]: Simplify (/ 1 1) into 1 0.278 * [backup-simplify]: Simplify (+ 0 1) 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 0.282 * [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 0.283 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.283 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.284 * [backup-simplify]: Simplify (+ 1 0) into 1 0.284 * [backup-simplify]: Simplify (sqrt 1) into 1 0.285 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.286 * [backup-simplify]: Simplify (+ 0 0) into 0 0.286 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.286 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.286 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.286 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.286 * [taylor]: Taking taylor expansion of re in re 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 1 into 1 0.287 * [backup-simplify]: Simplify (* 1 1) into 1 0.287 * [backup-simplify]: Simplify (/ 1 1) into 1 0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.287 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.287 * [taylor]: Taking taylor expansion of im in re 0.287 * [backup-simplify]: Simplify im into im 0.287 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.287 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.288 * [backup-simplify]: Simplify (+ 1 0) into 1 0.288 * [backup-simplify]: Simplify (sqrt 1) into 1 0.288 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.289 * [backup-simplify]: Simplify (+ 0 0) into 0 0.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.290 * [taylor]: Taking taylor expansion of 1 in im 0.290 * [backup-simplify]: Simplify 1 into 1 0.290 * [taylor]: Taking taylor expansion of 0 in im 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify 1 into 1 0.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.291 * [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 0.293 * [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 0.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.296 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.296 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.296 * [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 0.298 * [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 0.299 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.299 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 0.299 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 0.299 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.299 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.299 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.299 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.299 * [taylor]: Taking taylor expansion of re in im 0.299 * [backup-simplify]: Simplify re into re 0.300 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.300 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow im 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 * [backup-simplify]: Simplify (* 1 1) into 1 0.300 * [backup-simplify]: Simplify (/ 1 1) into 1 0.301 * [backup-simplify]: Simplify (+ 0 1) into 1 0.301 * [backup-simplify]: Simplify (sqrt 1) into 1 0.301 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.302 * [backup-simplify]: Simplify (+ 0 0) into 0 0.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.303 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.303 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.303 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.303 * [taylor]: Taking taylor expansion of re in re 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [backup-simplify]: Simplify (* 1 1) into 1 0.303 * [backup-simplify]: Simplify (/ 1 1) into 1 0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.304 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.304 * [taylor]: Taking taylor expansion of im in re 0.304 * [backup-simplify]: Simplify im into im 0.304 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.304 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.304 * [backup-simplify]: Simplify (+ 1 0) into 1 0.304 * [backup-simplify]: Simplify (sqrt 1) into 1 0.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.306 * [backup-simplify]: Simplify (+ 0 0) into 0 0.307 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.307 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.307 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.307 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.307 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.308 * [taylor]: Taking taylor expansion of re in re 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 1 into 1 0.308 * [backup-simplify]: Simplify (* 1 1) into 1 0.308 * [backup-simplify]: Simplify (/ 1 1) into 1 0.308 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.308 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.308 * [taylor]: Taking taylor expansion of im in re 0.308 * [backup-simplify]: Simplify im into im 0.308 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.309 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.309 * [backup-simplify]: Simplify (+ 1 0) into 1 0.309 * [backup-simplify]: Simplify (sqrt 1) into 1 0.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.311 * [backup-simplify]: Simplify (+ 0 0) into 0 0.311 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.311 * [taylor]: Taking taylor expansion of 1 in im 0.311 * [backup-simplify]: Simplify 1 into 1 0.311 * [taylor]: Taking taylor expansion of 0 in im 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 1 into 1 0.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.313 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.314 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.314 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.314 * [taylor]: Taking taylor expansion of 1/2 in im 0.314 * [backup-simplify]: Simplify 1/2 into 1/2 0.314 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.314 * [taylor]: Taking taylor expansion of im in im 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 1 into 1 0.315 * [backup-simplify]: Simplify (* 1 1) into 1 0.315 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.317 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.319 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.321 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.321 * [backup-simplify]: Simplify (+ 0 0) into 0 0.322 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.322 * [taylor]: Taking taylor expansion of 0 in im 0.322 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.325 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.326 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2)))) 0.326 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0 0.326 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 0.326 * [taylor]: Taking taylor expansion of re in im 0.326 * [backup-simplify]: Simplify re into re 0.326 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.326 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.326 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.326 * [taylor]: Taking taylor expansion of im in im 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify 1 into 1 0.326 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.326 * [taylor]: Taking taylor expansion of re in im 0.326 * [backup-simplify]: Simplify re into re 0.326 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.327 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.327 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.327 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.328 * [backup-simplify]: Simplify (+ 0 0) into 0 0.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.328 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 0.328 * [taylor]: Taking taylor expansion of re in re 0.328 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify 1 into 1 0.329 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.329 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.329 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.329 * [taylor]: Taking taylor expansion of im in re 0.329 * [backup-simplify]: Simplify im into im 0.329 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.329 * [taylor]: Taking taylor expansion of re in re 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify 1 into 1 0.329 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.330 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.330 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.330 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.331 * [backup-simplify]: Simplify (+ 0 0) into 0 0.331 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.331 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 0.331 * [taylor]: Taking taylor expansion of re in re 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 1 into 1 0.331 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.331 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.331 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.331 * [taylor]: Taking taylor expansion of im in re 0.331 * [backup-simplify]: Simplify im into im 0.332 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.332 * [taylor]: Taking taylor expansion of re in re 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify 1 into 1 0.332 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.332 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.333 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.333 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.333 * [backup-simplify]: Simplify (+ 0 0) into 0 0.334 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.334 * [backup-simplify]: Simplify (+ 0 im) into im 0.334 * [taylor]: Taking taylor expansion of im in im 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 1 into 1 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify (+ 1 0) into 1 0.335 * [taylor]: Taking taylor expansion of 1 in im 0.335 * [backup-simplify]: Simplify 1 into 1 0.335 * [backup-simplify]: Simplify 1 into 1 0.335 * [backup-simplify]: Simplify 1 into 1 0.335 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.336 * [backup-simplify]: Simplify (* 1 1) into 1 0.336 * [backup-simplify]: Simplify (+ 0 1) into 1 0.337 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.337 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 0.337 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.337 * [taylor]: Taking taylor expansion of 1/2 in im 0.337 * [backup-simplify]: Simplify 1/2 into 1/2 0.337 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.337 * [taylor]: Taking taylor expansion of im in im 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify 1 into 1 0.338 * [backup-simplify]: Simplify (/ 1 1) into 1 0.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.339 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.340 * [backup-simplify]: Simplify (+ 0 0) into 0 0.340 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.341 * [backup-simplify]: Simplify (+ 0 0) into 0 0.341 * [taylor]: Taking taylor expansion of 0 in im 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.342 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 0.343 * [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))))) 0.343 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 0.343 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 0.343 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.343 * [taylor]: Taking taylor expansion of re in im 0.343 * [backup-simplify]: Simplify re into re 0.343 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.343 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.343 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.343 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.343 * [taylor]: Taking taylor expansion of re in im 0.343 * [backup-simplify]: Simplify re into re 0.343 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.343 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.343 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.343 * [taylor]: Taking taylor expansion of im in im 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 1 into 1 0.344 * [backup-simplify]: Simplify (* 1 1) into 1 0.344 * [backup-simplify]: Simplify (/ 1 1) into 1 0.344 * [backup-simplify]: Simplify (+ 0 1) into 1 0.344 * [backup-simplify]: Simplify (sqrt 1) into 1 0.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.346 * [backup-simplify]: Simplify (+ 0 0) into 0 0.346 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.346 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.346 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.346 * [taylor]: Taking taylor expansion of re in re 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify 1 into 1 0.346 * [backup-simplify]: Simplify (/ 1 1) into 1 0.346 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.347 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.347 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.347 * [taylor]: Taking taylor expansion of re in re 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 0.347 * [backup-simplify]: Simplify (/ 1 1) into 1 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.347 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.347 * [taylor]: Taking taylor expansion of im in re 0.347 * [backup-simplify]: Simplify im into im 0.347 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.348 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.348 * [backup-simplify]: Simplify (+ 1 0) into 1 0.348 * [backup-simplify]: Simplify (sqrt 1) into 1 0.349 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.349 * [backup-simplify]: Simplify (+ 0 0) into 0 0.350 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.350 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.350 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.350 * [taylor]: Taking taylor expansion of re in re 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify 1 into 1 0.350 * [backup-simplify]: Simplify (/ 1 1) into 1 0.350 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.350 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.350 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.350 * [taylor]: Taking taylor expansion of re in re 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify 1 into 1 0.351 * [backup-simplify]: Simplify (* 1 1) into 1 0.351 * [backup-simplify]: Simplify (/ 1 1) into 1 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.351 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.351 * [taylor]: Taking taylor expansion of im in re 0.351 * [backup-simplify]: Simplify im into im 0.351 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.351 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.352 * [backup-simplify]: Simplify (+ 1 0) into 1 0.352 * [backup-simplify]: Simplify (sqrt 1) into 1 0.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.353 * [backup-simplify]: Simplify (+ 0 0) into 0 0.353 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.354 * [backup-simplify]: Simplify (+ 1 1) into 2 0.354 * [taylor]: Taking taylor expansion of 2 in im 0.354 * [backup-simplify]: Simplify 2 into 2 0.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.354 * [backup-simplify]: Simplify (+ 0 0) into 0 0.355 * [taylor]: Taking taylor expansion of 0 in im 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify 2 into 2 0.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.357 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.358 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.358 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.358 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.358 * [taylor]: Taking taylor expansion of 1/2 in im 0.358 * [backup-simplify]: Simplify 1/2 into 1/2 0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.358 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.358 * [taylor]: Taking taylor expansion of im in im 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify 1 into 1 0.359 * [backup-simplify]: Simplify (* 1 1) into 1 0.359 * [backup-simplify]: Simplify (/ 1 1) into 1 0.359 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.360 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.362 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.363 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.363 * [backup-simplify]: Simplify (+ 0 0) into 0 0.364 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.364 * [backup-simplify]: Simplify (+ 0 0) into 0 0.364 * [taylor]: Taking taylor expansion of 0 in im 0.364 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.366 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.366 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 0.367 * [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)) 0.367 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 0.367 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 0.367 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.367 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.367 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.367 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.367 * [taylor]: Taking taylor expansion of re in im 0.367 * [backup-simplify]: Simplify re into re 0.367 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.368 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.368 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.368 * [taylor]: Taking taylor expansion of im in im 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify 1 into 1 0.368 * [backup-simplify]: Simplify (* 1 1) into 1 0.368 * [backup-simplify]: Simplify (/ 1 1) into 1 0.369 * [backup-simplify]: Simplify (+ 0 1) into 1 0.369 * [backup-simplify]: Simplify (sqrt 1) into 1 0.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.371 * [backup-simplify]: Simplify (+ 0 0) into 0 0.371 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.371 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.371 * [taylor]: Taking taylor expansion of re in im 0.372 * [backup-simplify]: Simplify re into re 0.372 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.372 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.372 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.372 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.372 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.372 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.372 * [taylor]: Taking taylor expansion of re in re 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 1 into 1 0.372 * [backup-simplify]: Simplify (* 1 1) into 1 0.373 * [backup-simplify]: Simplify (/ 1 1) into 1 0.373 * [taylor]: Taking taylor expansion of (/ 1 (pow im 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 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.373 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.374 * [backup-simplify]: Simplify (+ 1 0) into 1 0.374 * [backup-simplify]: Simplify (sqrt 1) into 1 0.375 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.376 * [backup-simplify]: Simplify (+ 0 0) into 0 0.377 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.377 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.377 * [taylor]: Taking taylor expansion of re in re 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 1 into 1 0.377 * [backup-simplify]: Simplify (/ 1 1) into 1 0.377 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.377 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.378 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.378 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.378 * [taylor]: Taking taylor expansion of re in re 0.378 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify 1 into 1 0.378 * [backup-simplify]: Simplify (* 1 1) into 1 0.378 * [backup-simplify]: Simplify (/ 1 1) into 1 0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.379 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.379 * [taylor]: Taking taylor expansion of im in re 0.379 * [backup-simplify]: Simplify im into im 0.379 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.379 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.380 * [backup-simplify]: Simplify (+ 1 0) into 1 0.380 * [backup-simplify]: Simplify (sqrt 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 0.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.383 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.383 * [taylor]: Taking taylor expansion of re in re 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) into -1 0.384 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.384 * [taylor]: Taking taylor expansion of 0 in im 0.384 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.386 * [backup-simplify]: Simplify (- 0) into 0 0.386 * [backup-simplify]: Simplify (+ 0 0) into 0 0.386 * [taylor]: Taking taylor expansion of 0 in im 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 1))) into 0 0.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.389 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.391 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.392 * [backup-simplify]: Simplify (- 0) into 0 0.393 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.393 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.393 * [taylor]: Taking taylor expansion of 1/2 in im 0.393 * [backup-simplify]: Simplify 1/2 into 1/2 0.393 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.393 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.393 * [taylor]: Taking taylor expansion of im in im 0.393 * [backup-simplify]: Simplify 0 into 0 0.393 * [backup-simplify]: Simplify 1 into 1 0.394 * [backup-simplify]: Simplify (* 1 1) into 1 0.394 * [backup-simplify]: Simplify (/ 1 1) into 1 0.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.396 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify 0 into 0 0.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.399 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.400 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.400 * [backup-simplify]: Simplify (+ 0 0) into 0 0.401 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.403 * [backup-simplify]: Simplify (- 0) into 0 0.403 * [backup-simplify]: Simplify (+ 0 0) into 0 0.403 * [taylor]: Taking taylor expansion of 0 in im 0.403 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.406 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.406 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.408 * [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)))))) 0.408 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in (re im) around 0 0.408 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in im 0.408 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.408 * [taylor]: Taking taylor expansion of 2.0 in im 0.408 * [backup-simplify]: Simplify 2.0 into 2.0 0.408 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.409 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.409 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im 0.409 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 0.409 * [taylor]: Taking taylor expansion of re in im 0.409 * [backup-simplify]: Simplify re into re 0.409 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.409 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.409 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.409 * [taylor]: Taking taylor expansion of im in im 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 1 into 1 0.409 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.409 * [taylor]: Taking taylor expansion of re in im 0.409 * [backup-simplify]: Simplify re into re 0.410 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.410 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.411 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.411 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.411 * [backup-simplify]: Simplify (+ 0 0) into 0 0.412 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.412 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 0.412 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 0.413 * [backup-simplify]: Simplify (+ 0 0) into 0 0.413 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 0.413 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re 0.413 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.413 * [taylor]: Taking taylor expansion of 2.0 in re 0.413 * [backup-simplify]: Simplify 2.0 into 2.0 0.413 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.414 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.414 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re 0.414 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 0.414 * [taylor]: Taking taylor expansion of re in re 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify 1 into 1 0.414 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.414 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.414 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.414 * [taylor]: Taking taylor expansion of im in re 0.414 * [backup-simplify]: Simplify im into im 0.414 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.415 * [taylor]: Taking taylor expansion of re in re 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 1 into 1 0.415 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.415 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.416 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.416 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.416 * [backup-simplify]: Simplify (+ 0 0) into 0 0.417 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.417 * [backup-simplify]: Simplify (+ 0 im) into im 0.417 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.417 * [backup-simplify]: Simplify (+ 1 0) into 1 0.418 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 0.418 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re 0.418 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.418 * [taylor]: Taking taylor expansion of 2.0 in re 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 (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re 0.419 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 0.419 * [taylor]: Taking taylor expansion of re in re 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 1 into 1 0.419 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.419 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.419 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.419 * [taylor]: Taking taylor expansion of im in re 0.419 * [backup-simplify]: Simplify im into im 0.419 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.419 * [taylor]: Taking taylor expansion of re in re 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 1 into 1 0.419 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.420 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.420 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.421 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.421 * [backup-simplify]: Simplify (+ 0 0) into 0 0.421 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.422 * [backup-simplify]: Simplify (+ 0 im) into im 0.422 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.422 * [backup-simplify]: Simplify (+ 1 0) into 1 0.422 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 0.423 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 0.423 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.423 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.423 * [taylor]: Taking taylor expansion of 2.0 in im 0.423 * [backup-simplify]: Simplify 2.0 into 2.0 0.423 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.424 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.424 * [taylor]: Taking taylor expansion of im in im 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify 1 into 1 0.425 * [backup-simplify]: Simplify (sqrt 0) into 0 0.426 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.427 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.427 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) 0.428 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.428 * [taylor]: Taking taylor expansion of 1/2 in im 0.428 * [backup-simplify]: Simplify 1/2 into 1/2 0.428 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.428 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.428 * [taylor]: Taking taylor expansion of 2.0 in im 0.428 * [backup-simplify]: Simplify 2.0 into 2.0 0.428 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.429 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.429 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.429 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.429 * [taylor]: Taking taylor expansion of im in im 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify 1 into 1 0.430 * [backup-simplify]: Simplify (/ 1 1) into 1 0.430 * [backup-simplify]: Simplify (sqrt 0) into 0 0.431 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.432 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.433 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.435 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.436 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.439 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.440 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.440 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.441 * [backup-simplify]: Simplify (* 1 1) into 1 0.441 * [backup-simplify]: Simplify (+ 0 1) into 1 0.442 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.442 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 0.443 * [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)))) 0.443 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.444 * [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))))) 0.444 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.444 * [taylor]: Taking taylor expansion of 1/8 in im 0.444 * [backup-simplify]: Simplify 1/8 into 1/8 0.444 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.444 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.444 * [taylor]: Taking taylor expansion of 2.0 in im 0.444 * [backup-simplify]: Simplify 2.0 into 2.0 0.445 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.445 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.445 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.445 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.445 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.445 * [taylor]: Taking taylor expansion of im in im 0.445 * [backup-simplify]: Simplify 0 into 0 0.445 * [backup-simplify]: Simplify 1 into 1 0.446 * [backup-simplify]: Simplify (* 1 1) into 1 0.446 * [backup-simplify]: Simplify (* 1 1) into 1 0.446 * [backup-simplify]: Simplify (/ 1 1) into 1 0.446 * [backup-simplify]: Simplify (sqrt 0) into 0 0.447 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.448 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.448 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.451 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.451 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.453 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.454 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.455 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.458 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.459 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.463 * [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))))))) 0.464 * [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))))))) 0.464 * [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 0.465 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 0.465 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.465 * [taylor]: Taking taylor expansion of 2.0 in im 0.465 * [backup-simplify]: Simplify 2.0 into 2.0 0.465 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.466 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 0.466 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 0.466 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.466 * [taylor]: Taking taylor expansion of re in im 0.466 * [backup-simplify]: Simplify re into re 0.466 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.466 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.466 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.466 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.466 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.466 * [taylor]: Taking taylor expansion of re in im 0.466 * [backup-simplify]: Simplify re into re 0.466 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.467 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.467 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.467 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.467 * [taylor]: Taking taylor expansion of im in im 0.467 * [backup-simplify]: Simplify 0 into 0 0.467 * [backup-simplify]: Simplify 1 into 1 0.468 * [backup-simplify]: Simplify (* 1 1) into 1 0.468 * [backup-simplify]: Simplify (/ 1 1) into 1 0.468 * [backup-simplify]: Simplify (+ 0 1) into 1 0.469 * [backup-simplify]: Simplify (sqrt 1) into 1 0.469 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.471 * [backup-simplify]: Simplify (+ 0 0) into 0 0.471 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.472 * [backup-simplify]: Simplify (+ 0 1) into 1 0.472 * [backup-simplify]: Simplify (sqrt 0) into 0 0.474 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.474 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 0.474 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.474 * [taylor]: Taking taylor expansion of 2.0 in re 0.474 * [backup-simplify]: Simplify 2.0 into 2.0 0.474 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.475 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.475 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 0.475 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.475 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.475 * [taylor]: Taking taylor expansion of re in re 0.475 * [backup-simplify]: Simplify 0 into 0 0.475 * [backup-simplify]: Simplify 1 into 1 0.475 * [backup-simplify]: Simplify (/ 1 1) into 1 0.476 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.476 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.476 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.476 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.476 * [taylor]: Taking taylor expansion of re in re 0.476 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify 1 into 1 0.476 * [backup-simplify]: Simplify (* 1 1) into 1 0.476 * [backup-simplify]: Simplify (/ 1 1) into 1 0.477 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.477 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.477 * [taylor]: Taking taylor expansion of im in re 0.477 * [backup-simplify]: Simplify im into im 0.477 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.477 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.478 * [backup-simplify]: Simplify (+ 1 0) into 1 0.478 * [backup-simplify]: Simplify (sqrt 1) into 1 0.479 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.480 * [backup-simplify]: Simplify (+ 0 0) into 0 0.481 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.481 * [backup-simplify]: Simplify (+ 1 1) into 2 0.482 * [backup-simplify]: Simplify (sqrt 0) into 0 0.483 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.483 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 0.483 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.483 * [taylor]: Taking taylor expansion of 2.0 in re 0.483 * [backup-simplify]: Simplify 2.0 into 2.0 0.484 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.484 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 0.484 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.485 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.485 * [taylor]: Taking taylor expansion of re in re 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify 1 into 1 0.485 * [backup-simplify]: Simplify (/ 1 1) into 1 0.485 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.485 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.485 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.485 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.485 * [taylor]: Taking taylor expansion of re in re 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify 1 into 1 0.485 * [backup-simplify]: Simplify (* 1 1) into 1 0.486 * [backup-simplify]: Simplify (/ 1 1) into 1 0.486 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.486 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.486 * [taylor]: Taking taylor expansion of im in re 0.486 * [backup-simplify]: Simplify im into im 0.486 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.486 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.486 * [backup-simplify]: Simplify (+ 1 0) into 1 0.487 * [backup-simplify]: Simplify (sqrt 1) into 1 0.487 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.488 * [backup-simplify]: Simplify (+ 0 0) into 0 0.488 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.489 * [backup-simplify]: Simplify (+ 1 1) into 2 0.489 * [backup-simplify]: Simplify (sqrt 0) into 0 0.490 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.490 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.490 * [taylor]: Taking taylor expansion of 0 in im 0.490 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.492 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.492 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.492 * [taylor]: Taking taylor expansion of +nan.0 in im 0.492 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.492 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.492 * [taylor]: Taking taylor expansion of 2.0 in im 0.492 * [backup-simplify]: Simplify 2.0 into 2.0 0.492 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.492 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.493 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.493 * [backup-simplify]: Simplify (+ 0 0) into 0 0.495 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.496 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.498 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.498 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.498 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.498 * [taylor]: Taking taylor expansion of +nan.0 in im 0.498 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.498 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.498 * [taylor]: Taking taylor expansion of 2.0 in im 0.498 * [backup-simplify]: Simplify 2.0 into 2.0 0.498 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.499 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) 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 0 into 0 0.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.503 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.504 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.505 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.506 * [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)) 0.507 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.509 * [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)))))) 0.509 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 0.509 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 0.509 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.509 * [taylor]: Taking taylor expansion of +nan.0 in im 0.509 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.509 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.509 * [taylor]: Taking taylor expansion of 2.0 in im 0.509 * [backup-simplify]: Simplify 2.0 into 2.0 0.509 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.510 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.510 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.510 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.510 * [taylor]: Taking taylor expansion of +nan.0 in im 0.510 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.510 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.510 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.510 * [taylor]: Taking taylor expansion of 2.0 in im 0.510 * [backup-simplify]: Simplify 2.0 into 2.0 0.510 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.511 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.511 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.511 * [taylor]: Taking taylor expansion of im in im 0.511 * [backup-simplify]: Simplify 0 into 0 0.511 * [backup-simplify]: Simplify 1 into 1 0.511 * [backup-simplify]: Simplify (* 1 1) into 1 0.512 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.513 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.514 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.514 * [backup-simplify]: Simplify (- 0) into 0 0.514 * [backup-simplify]: Simplify (+ 0 0) into 0 0.515 * [backup-simplify]: Simplify (- 0) into 0 0.515 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.517 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.519 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.520 * [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 into 0 0.520 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.524 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.525 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.525 * [backup-simplify]: Simplify (+ 0 0) into 0 0.526 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.527 * [backup-simplify]: Simplify (+ 0 0) into 0 0.529 * [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))) 0.530 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.533 * [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)))))) 0.533 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 0.533 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 0.533 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.533 * [taylor]: Taking taylor expansion of +nan.0 in im 0.533 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.533 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.533 * [taylor]: Taking taylor expansion of 2.0 in im 0.533 * [backup-simplify]: Simplify 2.0 into 2.0 0.533 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.533 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.534 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.534 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.534 * [taylor]: Taking taylor expansion of +nan.0 in im 0.534 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.534 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.534 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.534 * [taylor]: Taking taylor expansion of 2.0 in im 0.534 * [backup-simplify]: Simplify 2.0 into 2.0 0.534 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.534 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.534 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.534 * [taylor]: Taking taylor expansion of im in im 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify 1 into 1 0.535 * [backup-simplify]: Simplify (* 1 1) into 1 0.535 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.536 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.536 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.537 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.537 * [backup-simplify]: Simplify (- 0) into 0 0.538 * [backup-simplify]: Simplify (+ 0 0) into 0 0.538 * [backup-simplify]: Simplify (- 0) into 0 0.538 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.539 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.541 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.541 * [backup-simplify]: Simplify (- 0) into 0 0.542 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 0.545 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.546 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.550 * [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)))))))) 0.551 * [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)))) 0.551 * [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 0.551 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 0.551 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.551 * [taylor]: Taking taylor expansion of 2.0 in im 0.551 * [backup-simplify]: Simplify 2.0 into 2.0 0.551 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.552 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.552 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 0.552 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 0.552 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.552 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.552 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.552 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.552 * [taylor]: Taking taylor expansion of re in im 0.552 * [backup-simplify]: Simplify re into re 0.552 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.552 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.552 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.552 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.552 * [taylor]: Taking taylor expansion of im in im 0.552 * [backup-simplify]: Simplify 0 into 0 0.552 * [backup-simplify]: Simplify 1 into 1 0.553 * [backup-simplify]: Simplify (* 1 1) into 1 0.553 * [backup-simplify]: Simplify (/ 1 1) into 1 0.553 * [backup-simplify]: Simplify (+ 0 1) into 1 0.553 * [backup-simplify]: Simplify (sqrt 1) into 1 0.554 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.555 * [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 im 0.555 * [taylor]: Taking taylor expansion of re in im 0.555 * [backup-simplify]: Simplify re into re 0.555 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.556 * [backup-simplify]: Simplify (+ 1 0) into 1 0.556 * [backup-simplify]: Simplify (sqrt 0) into 0 0.557 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.557 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 0.557 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.557 * [taylor]: Taking taylor expansion of 2.0 in re 0.557 * [backup-simplify]: Simplify 2.0 into 2.0 0.557 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.558 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.558 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 0.558 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.558 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.558 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.558 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.558 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.558 * [taylor]: Taking taylor expansion of re in re 0.558 * [backup-simplify]: Simplify 0 into 0 0.558 * [backup-simplify]: Simplify 1 into 1 0.559 * [backup-simplify]: Simplify (* 1 1) into 1 0.559 * [backup-simplify]: Simplify (/ 1 1) into 1 0.559 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.559 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.559 * [taylor]: Taking taylor expansion of im in re 0.559 * [backup-simplify]: Simplify im into im 0.559 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.560 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.560 * [backup-simplify]: Simplify (+ 1 0) into 1 0.561 * [backup-simplify]: Simplify (sqrt 1) into 1 0.561 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.563 * [backup-simplify]: Simplify (+ 0 0) into 0 0.563 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.563 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.563 * [taylor]: Taking taylor expansion of re in re 0.564 * [backup-simplify]: Simplify 0 into 0 0.564 * [backup-simplify]: Simplify 1 into 1 0.564 * [backup-simplify]: Simplify (/ 1 1) into 1 0.564 * [backup-simplify]: Simplify (- 1) into -1 0.565 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.566 * [backup-simplify]: Simplify (- 0) into 0 0.566 * [backup-simplify]: Simplify (+ 0 0) into 0 0.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.569 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.571 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.572 * [backup-simplify]: Simplify (- 0) into 0 0.573 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.573 * [backup-simplify]: Simplify (sqrt 0) into 0 0.574 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.574 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 0.574 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.574 * [taylor]: Taking taylor expansion of 2.0 in re 0.574 * [backup-simplify]: Simplify 2.0 into 2.0 0.574 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.575 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.575 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 0.575 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.575 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.575 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.575 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.575 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.575 * [taylor]: Taking taylor expansion of re in re 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify 1 into 1 0.575 * [backup-simplify]: Simplify (* 1 1) into 1 0.576 * [backup-simplify]: Simplify (/ 1 1) into 1 0.576 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.576 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.576 * [taylor]: Taking taylor expansion of im in re 0.576 * [backup-simplify]: Simplify im into im 0.576 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.576 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.576 * [backup-simplify]: Simplify (+ 1 0) into 1 0.576 * [backup-simplify]: Simplify (sqrt 1) into 1 0.577 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.578 * [backup-simplify]: Simplify (+ 0 0) into 0 0.578 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.578 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.578 * [taylor]: Taking taylor expansion of re in re 0.578 * [backup-simplify]: Simplify 0 into 0 0.578 * [backup-simplify]: Simplify 1 into 1 0.578 * [backup-simplify]: Simplify (/ 1 1) into 1 0.579 * [backup-simplify]: Simplify (- 1) into -1 0.579 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.580 * [backup-simplify]: Simplify (- 0) into 0 0.580 * [backup-simplify]: Simplify (+ 0 0) into 0 0.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.582 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.583 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.584 * [backup-simplify]: Simplify (- 0) into 0 0.584 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.584 * [backup-simplify]: Simplify (sqrt 0) into 0 0.585 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.585 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.585 * [taylor]: Taking taylor expansion of 0 in im 0.585 * [backup-simplify]: Simplify 0 into 0 0.586 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 0.586 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.586 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.586 * [taylor]: Taking taylor expansion of +nan.0 in im 0.586 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.586 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.586 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.587 * [taylor]: Taking taylor expansion of 2.0 in im 0.587 * [backup-simplify]: Simplify 2.0 into 2.0 0.587 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.587 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.587 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.587 * [taylor]: Taking taylor expansion of im in im 0.587 * [backup-simplify]: Simplify 0 into 0 0.587 * [backup-simplify]: Simplify 1 into 1 0.588 * [backup-simplify]: Simplify (* 1 1) into 1 0.588 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.590 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.590 * [backup-simplify]: Simplify (- 0) into 0 0.590 * [backup-simplify]: Simplify 0 into 0 0.590 * [backup-simplify]: Simplify 0 into 0 0.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.592 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.592 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.593 * [backup-simplify]: Simplify (+ 0 0) into 0 0.593 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.594 * [backup-simplify]: Simplify (- 0) into 0 0.594 * [backup-simplify]: Simplify (+ 0 0) into 0 0.596 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 0.596 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.597 * [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)))) 0.597 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.597 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.598 * [taylor]: Taking taylor expansion of +nan.0 in im 0.598 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.598 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.598 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.598 * [taylor]: Taking taylor expansion of 2.0 in im 0.598 * [backup-simplify]: Simplify 2.0 into 2.0 0.598 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.598 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.598 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.598 * [taylor]: Taking taylor expansion of im in im 0.598 * [backup-simplify]: Simplify 0 into 0 0.598 * [backup-simplify]: Simplify 1 into 1 0.599 * [backup-simplify]: Simplify (* 1 1) into 1 0.599 * [backup-simplify]: Simplify (* 1 1) into 1 0.600 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.600 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.601 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.602 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.604 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.604 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.606 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.606 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.607 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.608 * [backup-simplify]: Simplify (- 0) into 0 0.608 * [backup-simplify]: Simplify 0 into 0 0.608 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.610 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.611 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.612 * [backup-simplify]: Simplify (- 0) into 0 0.612 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify 0 into 0 0.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.615 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.617 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.617 * [backup-simplify]: Simplify (+ 0 0) into 0 0.619 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 0.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.621 * [backup-simplify]: Simplify (- 0) into 0 0.622 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 0.624 * [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))))) 0.626 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.630 * [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)))))) 0.630 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.630 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.630 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.630 * [taylor]: Taking taylor expansion of +nan.0 in im 0.630 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.630 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.630 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.630 * [taylor]: Taking taylor expansion of 2.0 in im 0.630 * [backup-simplify]: Simplify 2.0 into 2.0 0.631 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.632 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.632 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.632 * [taylor]: Taking taylor expansion of im in im 0.632 * [backup-simplify]: Simplify 0 into 0 0.632 * [backup-simplify]: Simplify 1 into 1 0.632 * [backup-simplify]: Simplify (* 1 1) into 1 0.633 * [backup-simplify]: Simplify (* 1 1) into 1 0.634 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.634 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.634 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.634 * [taylor]: Taking taylor expansion of +nan.0 in im 0.634 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.634 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.634 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.634 * [taylor]: Taking taylor expansion of 2.0 in im 0.634 * [backup-simplify]: Simplify 2.0 into 2.0 0.634 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.635 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.635 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.635 * [taylor]: Taking taylor expansion of im in im 0.635 * [backup-simplify]: Simplify 0 into 0 0.635 * [backup-simplify]: Simplify 1 into 1 0.636 * [backup-simplify]: Simplify (* 1 1) into 1 0.636 * [backup-simplify]: Simplify (* 1 1) into 1 0.636 * [backup-simplify]: Simplify (* 1 1) into 1 0.637 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.639 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.640 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.641 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.643 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.644 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.645 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.646 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.647 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.647 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.648 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.649 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.650 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.653 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.655 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.658 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.659 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.660 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.661 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.661 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.663 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.664 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.665 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.666 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 0.666 * [backup-simplify]: Simplify (- 0) into 0 0.666 * [backup-simplify]: Simplify (+ 0 0) into 0 0.667 * [backup-simplify]: Simplify (- 0) into 0 0.667 * [backup-simplify]: Simplify 0 into 0 0.667 * [backup-simplify]: Simplify 0 into 0 0.667 * * * [progress]: simplifying candidates 0.667 * * * * [progress]: [ 1 / 52 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))) re)))))> 0.667 * * * * [progress]: [ 2 / 52 ] simplifiying candidate # 0.667 * * * * [progress]: [ 3 / 52 ] simplifiying candidate # 0.667 * * * * [progress]: [ 4 / 52 ] simplifiying candidate # 0.667 * * * * [progress]: [ 5 / 52 ] simplifiying candidate # 0.667 * * * * [progress]: [ 6 / 52 ] simplifiying candidate # 0.667 * * * * [progress]: [ 7 / 52 ] simplifiying candidate # 0.667 * * * * [progress]: [ 8 / 52 ] simplifiying candidate # 0.667 * * * * [progress]: [ 9 / 52 ] simplifiying candidate # 0.667 * * * * [progress]: [ 10 / 52 ] simplifiying candidate # 0.667 * * * * [progress]: [ 11 / 52 ] simplifiying candidate # 0.667 * * * * [progress]: [ 12 / 52 ] simplifiying candidate # 0.667 * * * * [progress]: [ 13 / 52 ] simplifiying candidate # 0.667 * * * * [progress]: [ 14 / 52 ] simplifiying candidate # 0.667 * * * * [progress]: [ 15 / 52 ] simplifiying candidate # 0.668 * * * * [progress]: [ 16 / 52 ] simplifiying candidate # 0.668 * * * * [progress]: [ 17 / 52 ] simplifiying candidate #real (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)))))))> 0.668 * * * * [progress]: [ 18 / 52 ] simplifiying candidate # 0.668 * * * * [progress]: [ 19 / 52 ] simplifiying candidate # 0.668 * * * * [progress]: [ 20 / 52 ] simplifiying candidate # 0.668 * * * * [progress]: [ 21 / 52 ] simplifiying candidate # 0.668 * * * * [progress]: [ 22 / 52 ] simplifiying candidate # 0.668 * * * * [progress]: [ 23 / 52 ] simplifiying candidate # 0.668 * * * * [progress]: [ 24 / 52 ] simplifiying candidate # 0.668 * * * * [progress]: [ 25 / 52 ] simplifiying candidate # 0.668 * * * * [progress]: [ 26 / 52 ] simplifiying candidate # 0.668 * * * * [progress]: [ 27 / 52 ] simplifiying candidate # 0.668 * * * * [progress]: [ 28 / 52 ] simplifiying candidate # 0.668 * * * * [progress]: [ 29 / 52 ] simplifiying candidate # 0.668 * * * * [progress]: [ 30 / 52 ] simplifiying candidate #real (real->posit16 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> 0.668 * * * * [progress]: [ 31 / 52 ] simplifiying candidate # 0.668 * * * * [progress]: [ 32 / 52 ] simplifiying candidate # 0.668 * * * * [progress]: [ 33 / 52 ] simplifiying candidate # 0.668 * * * * [progress]: [ 34 / 52 ] simplifiying candidate # 0.668 * * * * [progress]: [ 35 / 52 ] simplifiying candidate # 0.668 * * * * [progress]: [ 36 / 52 ] simplifiying candidate # 0.668 * * * * [progress]: [ 37 / 52 ] simplifiying candidate # 0.668 * * * * [progress]: [ 38 / 52 ] simplifiying candidate # 0.668 * * * * [progress]: [ 39 / 52 ] simplifiying candidate # 0.668 * * * * [progress]: [ 40 / 52 ] simplifiying candidate # 0.668 * * * * [progress]: [ 41 / 52 ] simplifiying candidate # 0.669 * * * * [progress]: [ 42 / 52 ] simplifiying candidate # 0.669 * * * * [progress]: [ 43 / 52 ] simplifiying candidate # 0.669 * * * * [progress]: [ 44 / 52 ] simplifiying candidate # 0.669 * * * * [progress]: [ 45 / 52 ] simplifiying candidate # 0.669 * * * * [progress]: [ 46 / 52 ] simplifiying candidate # 0.669 * * * * [progress]: [ 47 / 52 ] simplifiying candidate # 0.669 * * * * [progress]: [ 48 / 52 ] simplifiying candidate # 0.669 * * * * [progress]: [ 49 / 52 ] simplifiying candidate # 0.669 * * * * [progress]: [ 50 / 52 ] simplifiying candidate # 0.669 * * * * [progress]: [ 51 / 52 ] simplifiying candidate # 0.669 * * * * [progress]: [ 52 / 52 ] simplifiying candidate # 0.669 * [simplify]: Simplifying: (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))) 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 (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (* (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) im re (* -1 re) (+ re im) (* 2 re) 0 (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 0 0.671 * * [simplify]: iteration 0: 102 enodes 0.747 * * [simplify]: iteration 1: 246 enodes 1.062 * * [simplify]: iteration 2: 668 enodes 1.998 * * [simplify]: iteration 3: 2107 enodes 4.101 * * [simplify]: iteration complete: 5002 enodes 4.101 * * [simplify]: Extracting #0: cost 48 inf + 0 4.102 * * [simplify]: Extracting #1: cost 273 inf + 88 4.107 * * [simplify]: Extracting #2: cost 1023 inf + 817 4.126 * * [simplify]: Extracting #3: cost 1362 inf + 38717 4.155 * * [simplify]: Extracting #4: cost 769 inf + 157266 4.243 * * [simplify]: Extracting #5: cost 192 inf + 285691 4.332 * * [simplify]: Extracting #6: cost 52 inf + 328950 4.439 * * [simplify]: Extracting #7: cost 10 inf + 335924 4.560 * * [simplify]: Extracting #8: cost 0 inf + 338854 4.656 * [simplify]: Simplified to: (real->posit16 (sqrt (+ (* im im) (* re re)))) (log (sqrt (+ (* im im) (* re re)))) (exp (sqrt (+ (* im im) (* re re)))) (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re)))) (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (fabs (cbrt (+ (* im im) (* re re)))) (sqrt (cbrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) 1 (sqrt (+ (* im im) (* re re))) (sqrt (+ (* (* im im) (* (* im im) (* im im))) (* (* re re) (* (* re re) (* re re))))) (sqrt (+ (* (* re re) (* re re)) (* (- (* im im) (* re re)) (* im im)))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (real->posit16 (+ (sqrt (+ (* im im) (* re re))) 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 (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 (* 2.0 (+ re (sqrt (+ (* im im) (* re re))))))) (log (sqrt (* 2.0 (+ re (sqrt (+ (* im im) (* re re))))))) (exp (sqrt (* 2.0 (+ re (sqrt (+ (* im im) (* re re))))))) (* (cbrt (sqrt (* 2.0 (+ re (sqrt (+ (* im im) (* re re))))))) (cbrt (sqrt (* 2.0 (+ re (sqrt (+ (* im im) (* re re)))))))) (cbrt (sqrt (* 2.0 (+ re (sqrt (+ (* im im) (* re re))))))) (* (sqrt (* 2.0 (+ re (sqrt (+ (* im im) (* re re)))))) (* 2.0 (+ re (sqrt (+ (* im im) (* 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 (sqrt (+ (* im im) (* re re)))) re) (+ (* im im) (* re re)))) (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* im im) (* re re))) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (+ re (sqrt (+ (* im im) (* re re))))))) (sqrt (sqrt (* 2.0 (+ re (sqrt (+ (* im im) (* re re))))))) im re (- re) (+ re im) (* 2 re) 0 (* (* +nan.0 (sqrt 2.0)) (+ (* (- re) re) (- im re))) (* +nan.0 (+ (- (/ (sqrt 2.0) re) (/ (sqrt 2.0) (* re re))) (- (sqrt 2.0)))) 0 4.664 * * * [progress]: adding candidates to table 5.224 * * [progress]: iteration 2 / 4 5.224 * * * [progress]: picking best candidate 5.314 * * * * [pick]: Picked # 5.314 * * * [progress]: localizing error 5.361 * * * [progress]: generating rewritten candidates 5.361 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1) 5.374 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 5.431 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 5.583 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 5.649 * * * [progress]: generating series expansions 5.649 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1) 5.649 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 5.649 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 5.649 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 5.649 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 5.649 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.649 * [taylor]: Taking taylor expansion of im in im 5.649 * [backup-simplify]: Simplify 0 into 0 5.649 * [backup-simplify]: Simplify 1 into 1 5.649 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.649 * [taylor]: Taking taylor expansion of re in im 5.649 * [backup-simplify]: Simplify re into re 5.650 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.650 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 5.650 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.650 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.651 * [backup-simplify]: Simplify (+ 0 0) into 0 5.651 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.651 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 5.651 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 5.651 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.651 * [taylor]: Taking taylor expansion of im in re 5.651 * [backup-simplify]: Simplify im into im 5.651 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.651 * [taylor]: Taking taylor expansion of re in re 5.651 * [backup-simplify]: Simplify 0 into 0 5.651 * [backup-simplify]: Simplify 1 into 1 5.651 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.652 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 5.652 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.652 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.652 * [backup-simplify]: Simplify (+ 0 0) into 0 5.652 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.653 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 5.653 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 5.653 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.653 * [taylor]: Taking taylor expansion of im in re 5.653 * [backup-simplify]: Simplify im into im 5.653 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.653 * [taylor]: Taking taylor expansion of re in re 5.653 * [backup-simplify]: Simplify 0 into 0 5.653 * [backup-simplify]: Simplify 1 into 1 5.653 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.653 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 5.653 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.653 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.654 * [backup-simplify]: Simplify (+ 0 0) into 0 5.654 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.654 * [taylor]: Taking taylor expansion of im in im 5.654 * [backup-simplify]: Simplify 0 into 0 5.654 * [backup-simplify]: Simplify 1 into 1 5.654 * [backup-simplify]: Simplify 0 into 0 5.654 * [taylor]: Taking taylor expansion of 0 in im 5.654 * [backup-simplify]: Simplify 0 into 0 5.654 * [backup-simplify]: Simplify 0 into 0 5.654 * [backup-simplify]: Simplify 1 into 1 5.655 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.655 * [backup-simplify]: Simplify (* 1 1) into 1 5.655 * [backup-simplify]: Simplify (+ 0 1) into 1 5.656 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 5.656 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 5.656 * [taylor]: Taking taylor expansion of 1/2 in im 5.656 * [backup-simplify]: Simplify 1/2 into 1/2 5.656 * [taylor]: Taking taylor expansion of im in im 5.656 * [backup-simplify]: Simplify 0 into 0 5.656 * [backup-simplify]: Simplify 1 into 1 5.656 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.657 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.657 * [backup-simplify]: Simplify 0 into 0 5.657 * [backup-simplify]: Simplify 0 into 0 5.657 * [backup-simplify]: Simplify 0 into 0 5.658 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 5.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.658 * [backup-simplify]: Simplify (+ 0 0) into 0 5.658 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 5.659 * [taylor]: Taking taylor expansion of 0 in im 5.659 * [backup-simplify]: Simplify 0 into 0 5.659 * [backup-simplify]: Simplify 0 into 0 5.659 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.659 * [backup-simplify]: Simplify 0 into 0 5.659 * [backup-simplify]: Simplify 0 into 0 5.659 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 5.660 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 5.660 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 5.660 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 5.660 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 5.660 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.660 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.660 * [taylor]: Taking taylor expansion of re in im 5.660 * [backup-simplify]: Simplify re into re 5.660 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.660 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.660 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.660 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.660 * [taylor]: Taking taylor expansion of im in im 5.660 * [backup-simplify]: Simplify 0 into 0 5.660 * [backup-simplify]: Simplify 1 into 1 5.661 * [backup-simplify]: Simplify (* 1 1) into 1 5.661 * [backup-simplify]: Simplify (/ 1 1) into 1 5.661 * [backup-simplify]: Simplify (+ 0 1) into 1 5.662 * [backup-simplify]: Simplify (sqrt 1) into 1 5.662 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.663 * [backup-simplify]: Simplify (+ 0 0) into 0 5.663 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.663 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.663 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.663 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.663 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.663 * [taylor]: Taking taylor expansion of re in re 5.663 * [backup-simplify]: Simplify 0 into 0 5.663 * [backup-simplify]: Simplify 1 into 1 5.664 * [backup-simplify]: Simplify (* 1 1) into 1 5.664 * [backup-simplify]: Simplify (/ 1 1) into 1 5.664 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.664 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.664 * [taylor]: Taking taylor expansion of im in re 5.664 * [backup-simplify]: Simplify im into im 5.664 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.664 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.665 * [backup-simplify]: Simplify (+ 1 0) into 1 5.665 * [backup-simplify]: Simplify (sqrt 1) into 1 5.665 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.666 * [backup-simplify]: Simplify (+ 0 0) into 0 5.668 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.668 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.668 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.668 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.668 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.668 * [taylor]: Taking taylor expansion of re in re 5.668 * [backup-simplify]: Simplify 0 into 0 5.668 * [backup-simplify]: Simplify 1 into 1 5.668 * [backup-simplify]: Simplify (* 1 1) into 1 5.669 * [backup-simplify]: Simplify (/ 1 1) into 1 5.669 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.669 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.669 * [taylor]: Taking taylor expansion of im in re 5.669 * [backup-simplify]: Simplify im into im 5.669 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.669 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.669 * [backup-simplify]: Simplify (+ 1 0) into 1 5.670 * [backup-simplify]: Simplify (sqrt 1) into 1 5.670 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.671 * [backup-simplify]: Simplify (+ 0 0) into 0 5.671 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.671 * [taylor]: Taking taylor expansion of 1 in im 5.671 * [backup-simplify]: Simplify 1 into 1 5.671 * [taylor]: Taking taylor expansion of 0 in im 5.671 * [backup-simplify]: Simplify 0 into 0 5.671 * [backup-simplify]: Simplify 1 into 1 5.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.673 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.675 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.675 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.675 * [taylor]: Taking taylor expansion of 1/2 in im 5.675 * [backup-simplify]: Simplify 1/2 into 1/2 5.675 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.675 * [taylor]: Taking taylor expansion of im in im 5.675 * [backup-simplify]: Simplify 0 into 0 5.675 * [backup-simplify]: Simplify 1 into 1 5.675 * [backup-simplify]: Simplify (* 1 1) into 1 5.676 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.676 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.677 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.677 * [backup-simplify]: Simplify 0 into 0 5.677 * [backup-simplify]: Simplify 0 into 0 5.678 * [backup-simplify]: Simplify 0 into 0 5.679 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.680 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.681 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.682 * [backup-simplify]: Simplify (+ 0 0) into 0 5.683 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.683 * [taylor]: Taking taylor expansion of 0 in im 5.683 * [backup-simplify]: Simplify 0 into 0 5.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.685 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.685 * [backup-simplify]: Simplify 0 into 0 5.686 * [backup-simplify]: Simplify 0 into 0 5.686 * [backup-simplify]: Simplify 0 into 0 5.686 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 5.687 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 5.687 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 5.687 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 5.687 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 5.687 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.687 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.687 * [taylor]: Taking taylor expansion of re in im 5.687 * [backup-simplify]: Simplify re into re 5.687 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.688 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.688 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.688 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.688 * [taylor]: Taking taylor expansion of im in im 5.688 * [backup-simplify]: Simplify 0 into 0 5.688 * [backup-simplify]: Simplify 1 into 1 5.688 * [backup-simplify]: Simplify (* 1 1) into 1 5.689 * [backup-simplify]: Simplify (/ 1 1) into 1 5.689 * [backup-simplify]: Simplify (+ 0 1) into 1 5.690 * [backup-simplify]: Simplify (sqrt 1) into 1 5.691 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.692 * [backup-simplify]: Simplify (+ 0 0) into 0 5.693 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.693 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.693 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.693 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.693 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.693 * [taylor]: Taking taylor expansion of re in re 5.693 * [backup-simplify]: Simplify 0 into 0 5.693 * [backup-simplify]: Simplify 1 into 1 5.693 * [backup-simplify]: Simplify (* 1 1) into 1 5.694 * [backup-simplify]: Simplify (/ 1 1) into 1 5.694 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.694 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.694 * [taylor]: Taking taylor expansion of im in re 5.694 * [backup-simplify]: Simplify im into im 5.694 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.694 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.695 * [backup-simplify]: Simplify (+ 1 0) into 1 5.695 * [backup-simplify]: Simplify (sqrt 1) into 1 5.696 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.697 * [backup-simplify]: Simplify (+ 0 0) into 0 5.698 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.698 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.698 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.698 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.698 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.698 * [taylor]: Taking taylor expansion of re in re 5.698 * [backup-simplify]: Simplify 0 into 0 5.698 * [backup-simplify]: Simplify 1 into 1 5.699 * [backup-simplify]: Simplify (* 1 1) into 1 5.699 * [backup-simplify]: Simplify (/ 1 1) into 1 5.699 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.699 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.699 * [taylor]: Taking taylor expansion of im in re 5.699 * [backup-simplify]: Simplify im into im 5.699 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.700 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.700 * [backup-simplify]: Simplify (+ 1 0) into 1 5.701 * [backup-simplify]: Simplify (sqrt 1) into 1 5.701 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.702 * [backup-simplify]: Simplify (+ 0 0) into 0 5.703 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.703 * [taylor]: Taking taylor expansion of 1 in im 5.703 * [backup-simplify]: Simplify 1 into 1 5.703 * [taylor]: Taking taylor expansion of 0 in im 5.703 * [backup-simplify]: Simplify 0 into 0 5.703 * [backup-simplify]: Simplify 1 into 1 5.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.704 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.705 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.705 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.706 * [taylor]: Taking taylor expansion of 1/2 in im 5.706 * [backup-simplify]: Simplify 1/2 into 1/2 5.706 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.706 * [taylor]: Taking taylor expansion of im in im 5.706 * [backup-simplify]: Simplify 0 into 0 5.706 * [backup-simplify]: Simplify 1 into 1 5.706 * [backup-simplify]: Simplify (* 1 1) into 1 5.706 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.707 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.707 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.707 * [backup-simplify]: Simplify 0 into 0 5.707 * [backup-simplify]: Simplify 0 into 0 5.707 * [backup-simplify]: Simplify 0 into 0 5.708 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.709 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.710 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.710 * [backup-simplify]: Simplify (+ 0 0) into 0 5.711 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.711 * [taylor]: Taking taylor expansion of 0 in im 5.711 * [backup-simplify]: Simplify 0 into 0 5.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.712 * [backup-simplify]: Simplify 0 into 0 5.712 * [backup-simplify]: Simplify 0 into 0 5.712 * [backup-simplify]: Simplify 0 into 0 5.712 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 5.712 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 5.713 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2)))) 5.713 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0 5.713 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 5.713 * [taylor]: Taking taylor expansion of re in im 5.713 * [backup-simplify]: Simplify re into re 5.713 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 5.713 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 5.713 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.713 * [taylor]: Taking taylor expansion of im in im 5.713 * [backup-simplify]: Simplify 0 into 0 5.713 * [backup-simplify]: Simplify 1 into 1 5.713 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.713 * [taylor]: Taking taylor expansion of re in im 5.713 * [backup-simplify]: Simplify re into re 5.713 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.713 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 5.714 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.714 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.714 * [backup-simplify]: Simplify (+ 0 0) into 0 5.714 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.714 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 5.714 * [taylor]: Taking taylor expansion of re in re 5.714 * [backup-simplify]: Simplify 0 into 0 5.714 * [backup-simplify]: Simplify 1 into 1 5.714 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 5.714 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 5.715 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.715 * [taylor]: Taking taylor expansion of im in re 5.715 * [backup-simplify]: Simplify im into im 5.715 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.715 * [taylor]: Taking taylor expansion of re in re 5.715 * [backup-simplify]: Simplify 0 into 0 5.715 * [backup-simplify]: Simplify 1 into 1 5.715 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.715 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 5.715 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.715 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.716 * [backup-simplify]: Simplify (+ 0 0) into 0 5.716 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.716 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 5.716 * [taylor]: Taking taylor expansion of re in re 5.716 * [backup-simplify]: Simplify 0 into 0 5.716 * [backup-simplify]: Simplify 1 into 1 5.716 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 5.716 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 5.716 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.716 * [taylor]: Taking taylor expansion of im in re 5.716 * [backup-simplify]: Simplify im into im 5.716 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.716 * [taylor]: Taking taylor expansion of re in re 5.716 * [backup-simplify]: Simplify 0 into 0 5.716 * [backup-simplify]: Simplify 1 into 1 5.716 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.716 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 5.717 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.717 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.717 * [backup-simplify]: Simplify (+ 0 0) into 0 5.717 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.717 * [backup-simplify]: Simplify (+ 0 im) into im 5.718 * [taylor]: Taking taylor expansion of im in im 5.718 * [backup-simplify]: Simplify 0 into 0 5.718 * [backup-simplify]: Simplify 1 into 1 5.718 * [backup-simplify]: Simplify 0 into 0 5.718 * [backup-simplify]: Simplify (+ 1 0) into 1 5.718 * [taylor]: Taking taylor expansion of 1 in im 5.718 * [backup-simplify]: Simplify 1 into 1 5.718 * [backup-simplify]: Simplify 1 into 1 5.718 * [backup-simplify]: Simplify 1 into 1 5.718 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.719 * [backup-simplify]: Simplify (* 1 1) into 1 5.719 * [backup-simplify]: Simplify (+ 0 1) into 1 5.720 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 5.720 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 5.720 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 5.720 * [taylor]: Taking taylor expansion of 1/2 in im 5.720 * [backup-simplify]: Simplify 1/2 into 1/2 5.720 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.720 * [taylor]: Taking taylor expansion of im in im 5.720 * [backup-simplify]: Simplify 0 into 0 5.720 * [backup-simplify]: Simplify 1 into 1 5.720 * [backup-simplify]: Simplify (/ 1 1) into 1 5.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.721 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.721 * [backup-simplify]: Simplify 0 into 0 5.721 * [backup-simplify]: Simplify 0 into 0 5.721 * [backup-simplify]: Simplify 0 into 0 5.722 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 5.722 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.723 * [backup-simplify]: Simplify (+ 0 0) into 0 5.723 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 5.723 * [backup-simplify]: Simplify (+ 0 0) into 0 5.723 * [taylor]: Taking taylor expansion of 0 in im 5.723 * [backup-simplify]: Simplify 0 into 0 5.723 * [backup-simplify]: Simplify 0 into 0 5.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.724 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.724 * [backup-simplify]: Simplify 0 into 0 5.724 * [backup-simplify]: Simplify 0 into 0 5.725 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 5.725 * [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))))) 5.725 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 5.725 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 5.725 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.725 * [taylor]: Taking taylor expansion of re in im 5.726 * [backup-simplify]: Simplify re into re 5.726 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.726 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 5.726 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 5.726 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.726 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.726 * [taylor]: Taking taylor expansion of re in im 5.726 * [backup-simplify]: Simplify re into re 5.726 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.726 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.726 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.726 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.727 * [taylor]: Taking taylor expansion of im in im 5.727 * [backup-simplify]: Simplify 0 into 0 5.727 * [backup-simplify]: Simplify 1 into 1 5.727 * [backup-simplify]: Simplify (* 1 1) into 1 5.728 * [backup-simplify]: Simplify (/ 1 1) into 1 5.728 * [backup-simplify]: Simplify (+ 0 1) into 1 5.728 * [backup-simplify]: Simplify (sqrt 1) into 1 5.729 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.730 * [backup-simplify]: Simplify (+ 0 0) into 0 5.731 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.731 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 5.732 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.732 * [taylor]: Taking taylor expansion of re in re 5.732 * [backup-simplify]: Simplify 0 into 0 5.732 * [backup-simplify]: Simplify 1 into 1 5.732 * [backup-simplify]: Simplify (/ 1 1) into 1 5.732 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.732 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.732 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.732 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.732 * [taylor]: Taking taylor expansion of re in re 5.732 * [backup-simplify]: Simplify 0 into 0 5.732 * [backup-simplify]: Simplify 1 into 1 5.733 * [backup-simplify]: Simplify (* 1 1) into 1 5.733 * [backup-simplify]: Simplify (/ 1 1) into 1 5.733 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.733 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.733 * [taylor]: Taking taylor expansion of im in re 5.733 * [backup-simplify]: Simplify im into im 5.733 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.734 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.735 * [backup-simplify]: Simplify (+ 1 0) into 1 5.735 * [backup-simplify]: Simplify (sqrt 1) into 1 5.736 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.737 * [backup-simplify]: Simplify (+ 0 0) into 0 5.738 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.738 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 5.738 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.738 * [taylor]: Taking taylor expansion of re in re 5.738 * [backup-simplify]: Simplify 0 into 0 5.738 * [backup-simplify]: Simplify 1 into 1 5.738 * [backup-simplify]: Simplify (/ 1 1) into 1 5.738 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.738 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.738 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.738 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.738 * [taylor]: Taking taylor expansion of re in re 5.738 * [backup-simplify]: Simplify 0 into 0 5.739 * [backup-simplify]: Simplify 1 into 1 5.739 * [backup-simplify]: Simplify (* 1 1) into 1 5.739 * [backup-simplify]: Simplify (/ 1 1) into 1 5.739 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.739 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.739 * [taylor]: Taking taylor expansion of im in re 5.739 * [backup-simplify]: Simplify im into im 5.740 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.740 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.741 * [backup-simplify]: Simplify (+ 1 0) into 1 5.741 * [backup-simplify]: Simplify (sqrt 1) into 1 5.742 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.743 * [backup-simplify]: Simplify (+ 0 0) into 0 5.744 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.744 * [backup-simplify]: Simplify (+ 1 1) into 2 5.744 * [taylor]: Taking taylor expansion of 2 in im 5.744 * [backup-simplify]: Simplify 2 into 2 5.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.746 * [backup-simplify]: Simplify (+ 0 0) into 0 5.746 * [taylor]: Taking taylor expansion of 0 in im 5.746 * [backup-simplify]: Simplify 0 into 0 5.746 * [backup-simplify]: Simplify 2 into 2 5.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.749 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.751 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.752 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 5.752 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 5.752 * [taylor]: Taking taylor expansion of 1/2 in im 5.752 * [backup-simplify]: Simplify 1/2 into 1/2 5.752 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.752 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.752 * [taylor]: Taking taylor expansion of im in im 5.752 * [backup-simplify]: Simplify 0 into 0 5.752 * [backup-simplify]: Simplify 1 into 1 5.753 * [backup-simplify]: Simplify (* 1 1) into 1 5.753 * [backup-simplify]: Simplify (/ 1 1) into 1 5.754 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.756 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.756 * [backup-simplify]: Simplify 0 into 0 5.756 * [backup-simplify]: Simplify 0 into 0 5.756 * [backup-simplify]: Simplify 0 into 0 5.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.758 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.760 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.761 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.761 * [backup-simplify]: Simplify (+ 0 0) into 0 5.763 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.763 * [backup-simplify]: Simplify (+ 0 0) into 0 5.763 * [taylor]: Taking taylor expansion of 0 in im 5.763 * [backup-simplify]: Simplify 0 into 0 5.764 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.766 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.766 * [backup-simplify]: Simplify 0 into 0 5.766 * [backup-simplify]: Simplify 0 into 0 5.766 * [backup-simplify]: Simplify 0 into 0 5.767 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 5.768 * [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)) 5.768 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 5.768 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 5.768 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 5.768 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 5.768 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.768 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.768 * [taylor]: Taking taylor expansion of re in im 5.768 * [backup-simplify]: Simplify re into re 5.768 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.769 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.769 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.769 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.769 * [taylor]: Taking taylor expansion of im in im 5.769 * [backup-simplify]: Simplify 0 into 0 5.769 * [backup-simplify]: Simplify 1 into 1 5.770 * [backup-simplify]: Simplify (* 1 1) into 1 5.770 * [backup-simplify]: Simplify (/ 1 1) into 1 5.771 * [backup-simplify]: Simplify (+ 0 1) into 1 5.771 * [backup-simplify]: Simplify (sqrt 1) into 1 5.772 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.773 * [backup-simplify]: Simplify (+ 0 0) into 0 5.774 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.774 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.774 * [taylor]: Taking taylor expansion of re in im 5.774 * [backup-simplify]: Simplify re into re 5.774 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.774 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 5.774 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.774 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.774 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.774 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.774 * [taylor]: Taking taylor expansion of re in re 5.774 * [backup-simplify]: Simplify 0 into 0 5.774 * [backup-simplify]: Simplify 1 into 1 5.775 * [backup-simplify]: Simplify (* 1 1) into 1 5.775 * [backup-simplify]: Simplify (/ 1 1) into 1 5.775 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.775 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.775 * [taylor]: Taking taylor expansion of im in re 5.775 * [backup-simplify]: Simplify im into im 5.775 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.776 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.776 * [backup-simplify]: Simplify (+ 1 0) into 1 5.777 * [backup-simplify]: Simplify (sqrt 1) into 1 5.777 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.779 * [backup-simplify]: Simplify (+ 0 0) into 0 5.779 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.780 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.780 * [taylor]: Taking taylor expansion of re in re 5.780 * [backup-simplify]: Simplify 0 into 0 5.780 * [backup-simplify]: Simplify 1 into 1 5.780 * [backup-simplify]: Simplify (/ 1 1) into 1 5.780 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 5.780 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.780 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.780 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.780 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.780 * [taylor]: Taking taylor expansion of re in re 5.780 * [backup-simplify]: Simplify 0 into 0 5.780 * [backup-simplify]: Simplify 1 into 1 5.781 * [backup-simplify]: Simplify (* 1 1) into 1 5.781 * [backup-simplify]: Simplify (/ 1 1) into 1 5.781 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.781 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.782 * [taylor]: Taking taylor expansion of im in re 5.782 * [backup-simplify]: Simplify im into im 5.782 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.782 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.783 * [backup-simplify]: Simplify (+ 1 0) into 1 5.783 * [backup-simplify]: Simplify (sqrt 1) into 1 5.784 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.785 * [backup-simplify]: Simplify (+ 0 0) into 0 5.786 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.786 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.786 * [taylor]: Taking taylor expansion of re in re 5.786 * [backup-simplify]: Simplify 0 into 0 5.786 * [backup-simplify]: Simplify 1 into 1 5.786 * [backup-simplify]: Simplify (/ 1 1) into 1 5.787 * [backup-simplify]: Simplify (- 1) into -1 5.787 * [backup-simplify]: Simplify (+ 1 -1) into 0 5.787 * [taylor]: Taking taylor expansion of 0 in im 5.787 * [backup-simplify]: Simplify 0 into 0 5.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.789 * [backup-simplify]: Simplify (- 0) into 0 5.789 * [backup-simplify]: Simplify (+ 0 0) into 0 5.789 * [taylor]: Taking taylor expansion of 0 in im 5.789 * [backup-simplify]: Simplify 0 into 0 5.789 * [backup-simplify]: Simplify 0 into 0 5.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.792 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.794 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.795 * [backup-simplify]: Simplify (- 0) into 0 5.796 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 5.796 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 5.796 * [taylor]: Taking taylor expansion of 1/2 in im 5.796 * [backup-simplify]: Simplify 1/2 into 1/2 5.796 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.796 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.796 * [taylor]: Taking taylor expansion of im in im 5.796 * [backup-simplify]: Simplify 0 into 0 5.796 * [backup-simplify]: Simplify 1 into 1 5.797 * [backup-simplify]: Simplify (* 1 1) into 1 5.797 * [backup-simplify]: Simplify (/ 1 1) into 1 5.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.799 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.799 * [backup-simplify]: Simplify 0 into 0 5.799 * [backup-simplify]: Simplify 0 into 0 5.800 * [backup-simplify]: Simplify 0 into 0 5.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.802 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.803 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.804 * [backup-simplify]: Simplify (+ 0 0) into 0 5.805 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.807 * [backup-simplify]: Simplify (- 0) into 0 5.807 * [backup-simplify]: Simplify (+ 0 0) into 0 5.807 * [taylor]: Taking taylor expansion of 0 in im 5.807 * [backup-simplify]: Simplify 0 into 0 5.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.810 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.811 * [backup-simplify]: Simplify 0 into 0 5.811 * [backup-simplify]: Simplify 0 into 0 5.811 * [backup-simplify]: Simplify 0 into 0 5.811 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 5.812 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) into (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) 5.812 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in (re im) around 0 5.812 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in im 5.812 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.812 * [taylor]: Taking taylor expansion of 2.0 in im 5.812 * [backup-simplify]: Simplify 2.0 into 2.0 5.813 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.814 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.814 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im 5.814 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 5.814 * [taylor]: Taking taylor expansion of re in im 5.814 * [backup-simplify]: Simplify re into re 5.814 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 5.814 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 5.814 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.814 * [taylor]: Taking taylor expansion of im in im 5.814 * [backup-simplify]: Simplify 0 into 0 5.814 * [backup-simplify]: Simplify 1 into 1 5.814 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.814 * [taylor]: Taking taylor expansion of re in im 5.814 * [backup-simplify]: Simplify re into re 5.814 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.815 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 5.815 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.815 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.816 * [backup-simplify]: Simplify (+ 0 0) into 0 5.816 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.816 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 5.817 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 5.819 * [backup-simplify]: Simplify (+ 0 0) into 0 5.819 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 5.819 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re 5.819 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.819 * [taylor]: Taking taylor expansion of 2.0 in re 5.819 * [backup-simplify]: Simplify 2.0 into 2.0 5.820 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.820 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.820 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re 5.821 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 5.821 * [taylor]: Taking taylor expansion of re in re 5.821 * [backup-simplify]: Simplify 0 into 0 5.821 * [backup-simplify]: Simplify 1 into 1 5.821 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 5.821 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 5.821 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.821 * [taylor]: Taking taylor expansion of im in re 5.821 * [backup-simplify]: Simplify im into im 5.821 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.821 * [taylor]: Taking taylor expansion of re in re 5.821 * [backup-simplify]: Simplify 0 into 0 5.821 * [backup-simplify]: Simplify 1 into 1 5.821 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.822 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 5.822 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.822 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.823 * [backup-simplify]: Simplify (+ 0 0) into 0 5.823 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.823 * [backup-simplify]: Simplify (+ 0 im) into im 5.823 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 5.824 * [backup-simplify]: Simplify (+ 1 0) into 1 5.824 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 5.824 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re 5.824 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.824 * [taylor]: Taking taylor expansion of 2.0 in re 5.824 * [backup-simplify]: Simplify 2.0 into 2.0 5.825 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.825 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.826 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re 5.826 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 5.826 * [taylor]: Taking taylor expansion of re in re 5.826 * [backup-simplify]: Simplify 0 into 0 5.826 * [backup-simplify]: Simplify 1 into 1 5.826 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 5.826 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 5.826 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.826 * [taylor]: Taking taylor expansion of im in re 5.826 * [backup-simplify]: Simplify im into im 5.826 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.826 * [taylor]: Taking taylor expansion of re in re 5.826 * [backup-simplify]: Simplify 0 into 0 5.826 * [backup-simplify]: Simplify 1 into 1 5.826 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.827 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 5.827 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.827 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.828 * [backup-simplify]: Simplify (+ 0 0) into 0 5.828 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.828 * [backup-simplify]: Simplify (+ 0 im) into im 5.828 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 5.829 * [backup-simplify]: Simplify (+ 1 0) into 1 5.829 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 5.830 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 5.830 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 5.830 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.830 * [taylor]: Taking taylor expansion of 2.0 in im 5.830 * [backup-simplify]: Simplify 2.0 into 2.0 5.830 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.831 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.831 * [taylor]: Taking taylor expansion of (sqrt im) in im 5.831 * [taylor]: Taking taylor expansion of im in im 5.831 * [backup-simplify]: Simplify 0 into 0 5.831 * [backup-simplify]: Simplify 1 into 1 5.832 * [backup-simplify]: Simplify (sqrt 0) into 0 5.834 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.834 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 5.834 * [backup-simplify]: Simplify 0 into 0 5.835 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) 5.835 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 5.835 * [taylor]: Taking taylor expansion of 1/2 in im 5.835 * [backup-simplify]: Simplify 1/2 into 1/2 5.835 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 5.835 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.835 * [taylor]: Taking taylor expansion of 2.0 in im 5.836 * [backup-simplify]: Simplify 2.0 into 2.0 5.836 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.837 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.837 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 5.837 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.837 * [taylor]: Taking taylor expansion of im in im 5.837 * [backup-simplify]: Simplify 0 into 0 5.837 * [backup-simplify]: Simplify 1 into 1 5.837 * [backup-simplify]: Simplify (/ 1 1) into 1 5.838 * [backup-simplify]: Simplify (sqrt 0) into 0 5.839 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.842 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 5.842 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 5.847 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 5.848 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 5.851 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 5.852 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 5.853 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.853 * [backup-simplify]: Simplify (* 1 1) into 1 5.854 * [backup-simplify]: Simplify (+ 0 1) into 1 5.855 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 5.855 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 5.857 * [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)))) 5.858 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 5.860 * [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))))) 5.860 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 5.860 * [taylor]: Taking taylor expansion of 1/8 in im 5.860 * [backup-simplify]: Simplify 1/8 into 1/8 5.860 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 5.860 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.860 * [taylor]: Taking taylor expansion of 2.0 in im 5.860 * [backup-simplify]: Simplify 2.0 into 2.0 5.860 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.861 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.861 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 5.861 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 5.861 * [taylor]: Taking taylor expansion of (pow im 3) in im 5.861 * [taylor]: Taking taylor expansion of im in im 5.861 * [backup-simplify]: Simplify 0 into 0 5.862 * [backup-simplify]: Simplify 1 into 1 5.862 * [backup-simplify]: Simplify (* 1 1) into 1 5.862 * [backup-simplify]: Simplify (* 1 1) into 1 5.863 * [backup-simplify]: Simplify (/ 1 1) into 1 5.863 * [backup-simplify]: Simplify (sqrt 0) into 0 5.865 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.871 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.872 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 5.875 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 5.877 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 5.878 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 5.884 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 5.886 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 5.893 * [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))))))) 5.895 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt (+ (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))))))) 5.895 * [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 5.895 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 5.895 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.895 * [taylor]: Taking taylor expansion of 2.0 in im 5.895 * [backup-simplify]: Simplify 2.0 into 2.0 5.895 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.896 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.896 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 5.896 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 5.896 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.896 * [taylor]: Taking taylor expansion of re in im 5.896 * [backup-simplify]: Simplify re into re 5.896 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.896 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 5.896 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 5.896 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.897 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.897 * [taylor]: Taking taylor expansion of re in im 5.897 * [backup-simplify]: Simplify re into re 5.897 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.897 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.897 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.897 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.897 * [taylor]: Taking taylor expansion of im in im 5.897 * [backup-simplify]: Simplify 0 into 0 5.897 * [backup-simplify]: Simplify 1 into 1 5.898 * [backup-simplify]: Simplify (* 1 1) into 1 5.898 * [backup-simplify]: Simplify (/ 1 1) into 1 5.899 * [backup-simplify]: Simplify (+ 0 1) into 1 5.899 * [backup-simplify]: Simplify (sqrt 1) into 1 5.900 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.901 * [backup-simplify]: Simplify (+ 0 0) into 0 5.902 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.903 * [backup-simplify]: Simplify (+ 0 1) into 1 5.903 * [backup-simplify]: Simplify (sqrt 0) into 0 5.905 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.905 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 5.905 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.905 * [taylor]: Taking taylor expansion of 2.0 in re 5.905 * [backup-simplify]: Simplify 2.0 into 2.0 5.905 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.906 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.906 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 5.906 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 5.906 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.906 * [taylor]: Taking taylor expansion of re in re 5.906 * [backup-simplify]: Simplify 0 into 0 5.906 * [backup-simplify]: Simplify 1 into 1 5.907 * [backup-simplify]: Simplify (/ 1 1) into 1 5.907 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.907 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.907 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.907 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.907 * [taylor]: Taking taylor expansion of re in re 5.907 * [backup-simplify]: Simplify 0 into 0 5.907 * [backup-simplify]: Simplify 1 into 1 5.907 * [backup-simplify]: Simplify (* 1 1) into 1 5.908 * [backup-simplify]: Simplify (/ 1 1) into 1 5.908 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.908 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.908 * [taylor]: Taking taylor expansion of im in re 5.908 * [backup-simplify]: Simplify im into im 5.908 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.908 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.909 * [backup-simplify]: Simplify (+ 1 0) into 1 5.909 * [backup-simplify]: Simplify (sqrt 1) into 1 5.910 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.911 * [backup-simplify]: Simplify (+ 0 0) into 0 5.912 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.912 * [backup-simplify]: Simplify (+ 1 1) into 2 5.913 * [backup-simplify]: Simplify (sqrt 0) into 0 5.914 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 5.914 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 5.914 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.914 * [taylor]: Taking taylor expansion of 2.0 in re 5.914 * [backup-simplify]: Simplify 2.0 into 2.0 5.915 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.915 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.915 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 5.915 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 5.915 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.915 * [taylor]: Taking taylor expansion of re in re 5.915 * [backup-simplify]: Simplify 0 into 0 5.915 * [backup-simplify]: Simplify 1 into 1 5.916 * [backup-simplify]: Simplify (/ 1 1) into 1 5.916 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.916 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.916 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.916 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.916 * [taylor]: Taking taylor expansion of re in re 5.916 * [backup-simplify]: Simplify 0 into 0 5.916 * [backup-simplify]: Simplify 1 into 1 5.916 * [backup-simplify]: Simplify (* 1 1) into 1 5.917 * [backup-simplify]: Simplify (/ 1 1) into 1 5.917 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.917 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.917 * [taylor]: Taking taylor expansion of im in re 5.917 * [backup-simplify]: Simplify im into im 5.917 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.918 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.918 * [backup-simplify]: Simplify (+ 1 0) into 1 5.918 * [backup-simplify]: Simplify (sqrt 1) into 1 5.919 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.920 * [backup-simplify]: Simplify (+ 0 0) into 0 5.921 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.922 * [backup-simplify]: Simplify (+ 1 1) into 2 5.922 * [backup-simplify]: Simplify (sqrt 0) into 0 5.923 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 5.924 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 5.924 * [taylor]: Taking taylor expansion of 0 in im 5.924 * [backup-simplify]: Simplify 0 into 0 5.926 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 5.926 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 5.926 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 5.926 * [taylor]: Taking taylor expansion of +nan.0 in im 5.926 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.926 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.926 * [taylor]: Taking taylor expansion of 2.0 in im 5.926 * [backup-simplify]: Simplify 2.0 into 2.0 5.926 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.927 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.927 * [backup-simplify]: Simplify 0 into 0 5.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.928 * [backup-simplify]: Simplify (+ 0 0) into 0 5.930 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.931 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 5.932 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 5.932 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 5.932 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 5.933 * [taylor]: Taking taylor expansion of +nan.0 in im 5.933 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.933 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.933 * [taylor]: Taking taylor expansion of 2.0 in im 5.933 * [backup-simplify]: Simplify 2.0 into 2.0 5.933 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.933 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.934 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 5.935 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 5.936 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 5.936 * [backup-simplify]: Simplify 0 into 0 5.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.938 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.939 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.940 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 5.941 * [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)) 5.942 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.944 * [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)))))) 5.944 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 5.944 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 5.944 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 5.944 * [taylor]: Taking taylor expansion of +nan.0 in im 5.944 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.944 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.944 * [taylor]: Taking taylor expansion of 2.0 in im 5.944 * [backup-simplify]: Simplify 2.0 into 2.0 5.944 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.945 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.945 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 5.945 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 5.945 * [taylor]: Taking taylor expansion of +nan.0 in im 5.945 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.945 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 5.945 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.945 * [taylor]: Taking taylor expansion of 2.0 in im 5.945 * [backup-simplify]: Simplify 2.0 into 2.0 5.945 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.946 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.946 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.946 * [taylor]: Taking taylor expansion of im in im 5.946 * [backup-simplify]: Simplify 0 into 0 5.946 * [backup-simplify]: Simplify 1 into 1 5.946 * [backup-simplify]: Simplify (* 1 1) into 1 5.946 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 5.947 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.948 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 5.948 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 5.948 * [backup-simplify]: Simplify (- 0) into 0 5.949 * [backup-simplify]: Simplify (+ 0 0) into 0 5.949 * [backup-simplify]: Simplify (- 0) into 0 5.949 * [backup-simplify]: Simplify 0 into 0 5.950 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 5.951 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 5.952 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 5.952 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 5.952 * [backup-simplify]: Simplify (- 0) into 0 5.952 * [backup-simplify]: Simplify 0 into 0 5.952 * [backup-simplify]: Simplify 0 into 0 5.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.956 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.957 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.957 * [backup-simplify]: Simplify (+ 0 0) into 0 5.958 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.958 * [backup-simplify]: Simplify (+ 0 0) into 0 5.959 * [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))) 5.960 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.963 * [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)))))) 5.963 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 5.963 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 5.963 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 5.963 * [taylor]: Taking taylor expansion of +nan.0 in im 5.963 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.963 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.963 * [taylor]: Taking taylor expansion of 2.0 in im 5.963 * [backup-simplify]: Simplify 2.0 into 2.0 5.963 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.963 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.964 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 5.964 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 5.964 * [taylor]: Taking taylor expansion of +nan.0 in im 5.964 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.964 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 5.964 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.964 * [taylor]: Taking taylor expansion of 2.0 in im 5.964 * [backup-simplify]: Simplify 2.0 into 2.0 5.964 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.964 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.964 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.964 * [taylor]: Taking taylor expansion of im in im 5.964 * [backup-simplify]: Simplify 0 into 0 5.964 * [backup-simplify]: Simplify 1 into 1 5.965 * [backup-simplify]: Simplify (* 1 1) into 1 5.965 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 5.966 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.967 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 5.968 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 5.969 * [backup-simplify]: Simplify (- 0) into 0 5.969 * [backup-simplify]: Simplify (+ 0 0) into 0 5.969 * [backup-simplify]: Simplify (- 0) into 0 5.970 * [backup-simplify]: Simplify 0 into 0 5.971 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 5.972 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 5.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.974 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.975 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 5.976 * [backup-simplify]: Simplify (- 0) into 0 5.977 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 5.980 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 5.982 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 5.987 * [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)))))))) 5.988 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt (+ (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)))) 5.988 * [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 5.988 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 5.988 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.988 * [taylor]: Taking taylor expansion of 2.0 in im 5.988 * [backup-simplify]: Simplify 2.0 into 2.0 5.988 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.989 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 5.989 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 5.989 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 5.989 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 5.989 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.989 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.989 * [taylor]: Taking taylor expansion of re in im 5.989 * [backup-simplify]: Simplify re into re 5.989 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.989 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.989 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.989 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.989 * [taylor]: Taking taylor expansion of im in im 5.989 * [backup-simplify]: Simplify 0 into 0 5.989 * [backup-simplify]: Simplify 1 into 1 5.990 * [backup-simplify]: Simplify (* 1 1) into 1 5.990 * [backup-simplify]: Simplify (/ 1 1) into 1 5.990 * [backup-simplify]: Simplify (+ 0 1) into 1 5.990 * [backup-simplify]: Simplify (sqrt 1) into 1 5.991 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.992 * [backup-simplify]: Simplify (+ 0 0) into 0 5.992 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.992 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.992 * [taylor]: Taking taylor expansion of re in im 5.992 * [backup-simplify]: Simplify re into re 5.992 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.993 * [backup-simplify]: Simplify (+ 1 0) into 1 5.993 * [backup-simplify]: Simplify (sqrt 0) into 0 5.994 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.994 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 5.994 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.994 * [taylor]: Taking taylor expansion of 2.0 in re 5.994 * [backup-simplify]: Simplify 2.0 into 2.0 5.994 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.995 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.995 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 5.995 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 5.995 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.995 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.995 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.995 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.995 * [taylor]: Taking taylor expansion of re in re 5.995 * [backup-simplify]: Simplify 0 into 0 5.995 * [backup-simplify]: Simplify 1 into 1 5.995 * [backup-simplify]: Simplify (* 1 1) into 1 5.995 * [backup-simplify]: Simplify (/ 1 1) into 1 5.995 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.995 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.996 * [taylor]: Taking taylor expansion of im in re 5.996 * [backup-simplify]: Simplify im into im 5.996 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.996 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.996 * [backup-simplify]: Simplify (+ 1 0) into 1 5.996 * [backup-simplify]: Simplify (sqrt 1) into 1 5.997 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.998 * [backup-simplify]: Simplify (+ 0 0) into 0 5.998 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.998 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.998 * [taylor]: Taking taylor expansion of re in re 5.998 * [backup-simplify]: Simplify 0 into 0 5.998 * [backup-simplify]: Simplify 1 into 1 5.998 * [backup-simplify]: Simplify (/ 1 1) into 1 5.999 * [backup-simplify]: Simplify (- 1) into -1 5.999 * [backup-simplify]: Simplify (+ 1 -1) into 0 5.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.000 * [backup-simplify]: Simplify (- 0) into 0 6.000 * [backup-simplify]: Simplify (+ 0 0) into 0 6.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.001 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.002 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.003 * [backup-simplify]: Simplify (- 0) into 0 6.004 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 6.004 * [backup-simplify]: Simplify (sqrt 0) into 0 6.005 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 6.005 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 6.005 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.005 * [taylor]: Taking taylor expansion of 2.0 in re 6.005 * [backup-simplify]: Simplify 2.0 into 2.0 6.005 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.005 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.005 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 6.005 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 6.005 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.006 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.006 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.006 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.006 * [taylor]: Taking taylor expansion of re in re 6.006 * [backup-simplify]: Simplify 0 into 0 6.006 * [backup-simplify]: Simplify 1 into 1 6.006 * [backup-simplify]: Simplify (* 1 1) into 1 6.006 * [backup-simplify]: Simplify (/ 1 1) into 1 6.006 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.006 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.006 * [taylor]: Taking taylor expansion of im in re 6.006 * [backup-simplify]: Simplify im into im 6.006 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.007 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.007 * [backup-simplify]: Simplify (+ 1 0) into 1 6.007 * [backup-simplify]: Simplify (sqrt 1) into 1 6.008 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.008 * [backup-simplify]: Simplify (+ 0 0) into 0 6.009 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.009 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.009 * [taylor]: Taking taylor expansion of re in re 6.009 * [backup-simplify]: Simplify 0 into 0 6.009 * [backup-simplify]: Simplify 1 into 1 6.009 * [backup-simplify]: Simplify (/ 1 1) into 1 6.009 * [backup-simplify]: Simplify (- 1) into -1 6.010 * [backup-simplify]: Simplify (+ 1 -1) into 0 6.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.010 * [backup-simplify]: Simplify (- 0) into 0 6.011 * [backup-simplify]: Simplify (+ 0 0) into 0 6.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.012 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.013 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.014 * [backup-simplify]: Simplify (- 0) into 0 6.014 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 6.015 * [backup-simplify]: Simplify (sqrt 0) into 0 6.015 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 6.016 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 6.016 * [taylor]: Taking taylor expansion of 0 in im 6.016 * [backup-simplify]: Simplify 0 into 0 6.017 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 6.017 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 6.017 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 6.017 * [taylor]: Taking taylor expansion of +nan.0 in im 6.017 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.017 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 6.017 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.017 * [taylor]: Taking taylor expansion of 2.0 in im 6.017 * [backup-simplify]: Simplify 2.0 into 2.0 6.017 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.018 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.018 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.018 * [taylor]: Taking taylor expansion of im in im 6.018 * [backup-simplify]: Simplify 0 into 0 6.018 * [backup-simplify]: Simplify 1 into 1 6.018 * [backup-simplify]: Simplify (* 1 1) into 1 6.019 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 6.020 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.021 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 6.022 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 6.023 * [backup-simplify]: Simplify (- 0) into 0 6.023 * [backup-simplify]: Simplify 0 into 0 6.023 * [backup-simplify]: Simplify 0 into 0 6.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.025 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.027 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.027 * [backup-simplify]: Simplify (+ 0 0) into 0 6.028 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.030 * [backup-simplify]: Simplify (- 0) into 0 6.030 * [backup-simplify]: Simplify (+ 0 0) into 0 6.032 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 6.033 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 6.036 * [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)))) 6.036 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 6.036 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 6.036 * [taylor]: Taking taylor expansion of +nan.0 in im 6.036 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.036 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 6.036 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.036 * [taylor]: Taking taylor expansion of 2.0 in im 6.036 * [backup-simplify]: Simplify 2.0 into 2.0 6.036 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.037 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.037 * [taylor]: Taking taylor expansion of (pow im 4) in im 6.037 * [taylor]: Taking taylor expansion of im in im 6.037 * [backup-simplify]: Simplify 0 into 0 6.037 * [backup-simplify]: Simplify 1 into 1 6.038 * [backup-simplify]: Simplify (* 1 1) into 1 6.038 * [backup-simplify]: Simplify (* 1 1) into 1 6.039 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 6.040 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 6.042 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 6.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.047 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.048 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 6.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.051 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.052 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.053 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 6.054 * [backup-simplify]: Simplify (- 0) into 0 6.054 * [backup-simplify]: Simplify 0 into 0 6.055 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 6.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.057 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.059 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 6.059 * [backup-simplify]: Simplify (- 0) into 0 6.059 * [backup-simplify]: Simplify 0 into 0 6.059 * [backup-simplify]: Simplify 0 into 0 6.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.063 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.065 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 6.065 * [backup-simplify]: Simplify (+ 0 0) into 0 6.067 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 6.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.069 * [backup-simplify]: Simplify (- 0) into 0 6.069 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 6.072 * [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))))) 6.074 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 6.078 * [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)))))) 6.078 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 6.078 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 6.078 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 6.078 * [taylor]: Taking taylor expansion of +nan.0 in im 6.078 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.078 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 6.078 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.078 * [taylor]: Taking taylor expansion of 2.0 in im 6.078 * [backup-simplify]: Simplify 2.0 into 2.0 6.079 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.080 * [taylor]: Taking taylor expansion of (pow im 4) in im 6.080 * [taylor]: Taking taylor expansion of im in im 6.080 * [backup-simplify]: Simplify 0 into 0 6.080 * [backup-simplify]: Simplify 1 into 1 6.080 * [backup-simplify]: Simplify (* 1 1) into 1 6.080 * [backup-simplify]: Simplify (* 1 1) into 1 6.081 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 6.082 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 6.082 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 6.082 * [taylor]: Taking taylor expansion of +nan.0 in im 6.082 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.082 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 6.082 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.082 * [taylor]: Taking taylor expansion of 2.0 in im 6.082 * [backup-simplify]: Simplify 2.0 into 2.0 6.082 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.083 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.083 * [taylor]: Taking taylor expansion of (pow im 6) in im 6.083 * [taylor]: Taking taylor expansion of im in im 6.083 * [backup-simplify]: Simplify 0 into 0 6.083 * [backup-simplify]: Simplify 1 into 1 6.084 * [backup-simplify]: Simplify (* 1 1) into 1 6.084 * [backup-simplify]: Simplify (* 1 1) into 1 6.084 * [backup-simplify]: Simplify (* 1 1) into 1 6.087 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 6.089 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 6.090 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 6.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 6.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.099 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.100 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.102 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 6.103 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 6.105 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 6.106 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 6.108 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 6.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.123 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 6.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.127 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.134 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 6.135 * [backup-simplify]: Simplify (- 0) into 0 6.135 * [backup-simplify]: Simplify (+ 0 0) into 0 6.135 * [backup-simplify]: Simplify (- 0) into 0 6.135 * [backup-simplify]: Simplify 0 into 0 6.136 * [backup-simplify]: Simplify 0 into 0 6.136 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 6.137 * [backup-simplify]: Simplify (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) into (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) 6.137 * [approximate]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in (re im) around 0 6.137 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im 6.137 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 6.137 * [taylor]: Taking taylor expansion of re in im 6.137 * [backup-simplify]: Simplify re into re 6.137 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 6.137 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 6.137 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.137 * [taylor]: Taking taylor expansion of im in im 6.137 * [backup-simplify]: Simplify 0 into 0 6.137 * [backup-simplify]: Simplify 1 into 1 6.137 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.137 * [taylor]: Taking taylor expansion of re in im 6.137 * [backup-simplify]: Simplify re into re 6.137 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.138 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 6.138 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 6.138 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.139 * [backup-simplify]: Simplify (+ 0 0) into 0 6.139 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 6.139 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 6.140 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 6.140 * [backup-simplify]: Simplify (+ 0 0) into 0 6.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 6.140 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re 6.140 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 6.140 * [taylor]: Taking taylor expansion of re in re 6.140 * [backup-simplify]: Simplify 0 into 0 6.140 * [backup-simplify]: Simplify 1 into 1 6.140 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 6.141 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 6.141 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.141 * [taylor]: Taking taylor expansion of im in re 6.141 * [backup-simplify]: Simplify im into im 6.141 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.141 * [taylor]: Taking taylor expansion of re in re 6.141 * [backup-simplify]: Simplify 0 into 0 6.141 * [backup-simplify]: Simplify 1 into 1 6.141 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.141 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 6.142 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.142 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.142 * [backup-simplify]: Simplify (+ 0 0) into 0 6.143 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.143 * [backup-simplify]: Simplify (+ 0 im) into im 6.143 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 6.144 * [backup-simplify]: Simplify (+ 1 0) into 1 6.144 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 6.144 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re 6.144 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 6.144 * [taylor]: Taking taylor expansion of re in re 6.144 * [backup-simplify]: Simplify 0 into 0 6.144 * [backup-simplify]: Simplify 1 into 1 6.144 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 6.144 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 6.144 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.144 * [taylor]: Taking taylor expansion of im in re 6.144 * [backup-simplify]: Simplify im into im 6.144 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.144 * [taylor]: Taking taylor expansion of re in re 6.144 * [backup-simplify]: Simplify 0 into 0 6.144 * [backup-simplify]: Simplify 1 into 1 6.144 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.145 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 6.145 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.146 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.146 * [backup-simplify]: Simplify (+ 0 0) into 0 6.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.147 * [backup-simplify]: Simplify (+ 0 im) into im 6.147 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 6.147 * [backup-simplify]: Simplify (+ 1 0) into 1 6.147 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 6.147 * [taylor]: Taking taylor expansion of (sqrt im) in im 6.147 * [taylor]: Taking taylor expansion of im in im 6.147 * [backup-simplify]: Simplify 0 into 0 6.147 * [backup-simplify]: Simplify 1 into 1 6.148 * [backup-simplify]: Simplify (sqrt 0) into 0 6.149 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.149 * [backup-simplify]: Simplify 0 into 0 6.149 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 im))) in im 6.150 * [taylor]: Taking taylor expansion of 1/2 in im 6.150 * [backup-simplify]: Simplify 1/2 into 1/2 6.150 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 6.150 * [taylor]: Taking taylor expansion of (/ 1 im) in im 6.150 * [taylor]: Taking taylor expansion of im in im 6.150 * [backup-simplify]: Simplify 0 into 0 6.150 * [backup-simplify]: Simplify 1 into 1 6.150 * [backup-simplify]: Simplify (/ 1 1) into 1 6.150 * [backup-simplify]: Simplify (sqrt 0) into 0 6.152 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.154 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 6.154 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.154 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.155 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.155 * [backup-simplify]: Simplify (* 1 1) into 1 6.156 * [backup-simplify]: Simplify (+ 0 1) into 1 6.157 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 6.157 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 6.158 * [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)))) 6.158 * [taylor]: Taking taylor expansion of (* 1/8 (sqrt (/ 1 (pow im 3)))) in im 6.158 * [taylor]: Taking taylor expansion of 1/8 in im 6.159 * [backup-simplify]: Simplify 1/8 into 1/8 6.159 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 6.159 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 6.159 * [taylor]: Taking taylor expansion of (pow im 3) in im 6.159 * [taylor]: Taking taylor expansion of im in im 6.159 * [backup-simplify]: Simplify 0 into 0 6.159 * [backup-simplify]: Simplify 1 into 1 6.159 * [backup-simplify]: Simplify (* 1 1) into 1 6.159 * [backup-simplify]: Simplify (* 1 1) into 1 6.160 * [backup-simplify]: Simplify (/ 1 1) into 1 6.160 * [backup-simplify]: Simplify (sqrt 0) into 0 6.162 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.162 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.163 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.167 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.170 * [backup-simplify]: Simplify (+ (* 1/8 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 6.170 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.172 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 re) 2)) (+ (* +nan.0 (* im 1)) (* (- +nan.0) (* 1 re)))) into (- (+ (* +nan.0 re) (- (+ (* +nan.0 (pow re 2)) (- (* +nan.0 im)))))) 6.173 * [backup-simplify]: Simplify (sqrt (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) into (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) 6.173 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in (re im) around 0 6.173 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 6.173 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 6.173 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.173 * [taylor]: Taking taylor expansion of re in im 6.173 * [backup-simplify]: Simplify re into re 6.173 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.173 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 6.173 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 6.173 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.173 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.173 * [taylor]: Taking taylor expansion of re in im 6.174 * [backup-simplify]: Simplify re into re 6.174 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.174 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.174 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.174 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.174 * [taylor]: Taking taylor expansion of im in im 6.174 * [backup-simplify]: Simplify 0 into 0 6.174 * [backup-simplify]: Simplify 1 into 1 6.175 * [backup-simplify]: Simplify (* 1 1) into 1 6.175 * [backup-simplify]: Simplify (/ 1 1) into 1 6.176 * [backup-simplify]: Simplify (+ 0 1) into 1 6.176 * [backup-simplify]: Simplify (sqrt 1) into 1 6.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.178 * [backup-simplify]: Simplify (+ 0 0) into 0 6.179 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.179 * [backup-simplify]: Simplify (+ 0 1) into 1 6.179 * [backup-simplify]: Simplify (sqrt 0) into 0 6.181 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.181 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 6.181 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 6.181 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.181 * [taylor]: Taking taylor expansion of re in re 6.181 * [backup-simplify]: Simplify 0 into 0 6.181 * [backup-simplify]: Simplify 1 into 1 6.181 * [backup-simplify]: Simplify (/ 1 1) into 1 6.181 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.182 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.182 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.182 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.182 * [taylor]: Taking taylor expansion of re in re 6.182 * [backup-simplify]: Simplify 0 into 0 6.182 * [backup-simplify]: Simplify 1 into 1 6.182 * [backup-simplify]: Simplify (* 1 1) into 1 6.182 * [backup-simplify]: Simplify (/ 1 1) into 1 6.182 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.183 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.183 * [taylor]: Taking taylor expansion of im in re 6.183 * [backup-simplify]: Simplify im into im 6.183 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.183 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.184 * [backup-simplify]: Simplify (+ 1 0) into 1 6.184 * [backup-simplify]: Simplify (sqrt 1) into 1 6.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.186 * [backup-simplify]: Simplify (+ 0 0) into 0 6.187 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.187 * [backup-simplify]: Simplify (+ 1 1) into 2 6.188 * [backup-simplify]: Simplify (sqrt 0) into 0 6.189 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 6.189 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 6.189 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 6.189 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.189 * [taylor]: Taking taylor expansion of re in re 6.189 * [backup-simplify]: Simplify 0 into 0 6.189 * [backup-simplify]: Simplify 1 into 1 6.190 * [backup-simplify]: Simplify (/ 1 1) into 1 6.190 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.190 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.190 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.190 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.190 * [taylor]: Taking taylor expansion of re in re 6.190 * [backup-simplify]: Simplify 0 into 0 6.190 * [backup-simplify]: Simplify 1 into 1 6.190 * [backup-simplify]: Simplify (* 1 1) into 1 6.191 * [backup-simplify]: Simplify (/ 1 1) into 1 6.191 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.191 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.191 * [taylor]: Taking taylor expansion of im in re 6.191 * [backup-simplify]: Simplify im into im 6.191 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.191 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.192 * [backup-simplify]: Simplify (+ 1 0) into 1 6.192 * [backup-simplify]: Simplify (sqrt 1) into 1 6.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.194 * [backup-simplify]: Simplify (+ 0 0) into 0 6.195 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.196 * [backup-simplify]: Simplify (+ 1 1) into 2 6.196 * [backup-simplify]: Simplify (sqrt 0) into 0 6.197 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 6.197 * [taylor]: Taking taylor expansion of 0 in im 6.197 * [backup-simplify]: Simplify 0 into 0 6.198 * [taylor]: Taking taylor expansion of +nan.0 in im 6.198 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.198 * [backup-simplify]: Simplify 0 into 0 6.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.199 * [backup-simplify]: Simplify (+ 0 0) into 0 6.203 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.203 * [taylor]: Taking taylor expansion of +nan.0 in im 6.203 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.203 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.203 * [backup-simplify]: Simplify 0 into 0 6.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.207 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.209 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.209 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 6.212 * [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)) 6.212 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 6.212 * [taylor]: Taking taylor expansion of +nan.0 in im 6.213 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.213 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 6.213 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 6.213 * [taylor]: Taking taylor expansion of 1/2 in im 6.213 * [backup-simplify]: Simplify 1/2 into 1/2 6.213 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.213 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.213 * [taylor]: Taking taylor expansion of im in im 6.213 * [backup-simplify]: Simplify 0 into 0 6.213 * [backup-simplify]: Simplify 1 into 1 6.213 * [backup-simplify]: Simplify (* 1 1) into 1 6.214 * [backup-simplify]: Simplify (/ 1 1) into 1 6.214 * [taylor]: Taking taylor expansion of +nan.0 in im 6.214 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.216 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.217 * [backup-simplify]: Simplify (+ 0 0) into 0 6.217 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.218 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.218 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0 6.218 * [backup-simplify]: Simplify 0 into 0 6.219 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.219 * [backup-simplify]: Simplify 0 into 0 6.219 * [backup-simplify]: Simplify 0 into 0 6.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.222 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.224 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.224 * [backup-simplify]: Simplify (+ 0 0) into 0 6.225 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.226 * [backup-simplify]: Simplify (+ 0 0) into 0 6.229 * [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))) 6.229 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 6.229 * [taylor]: Taking taylor expansion of +nan.0 in im 6.229 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.229 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 6.229 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 6.229 * [taylor]: Taking taylor expansion of +nan.0 in im 6.229 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.229 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.229 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.229 * [taylor]: Taking taylor expansion of im in im 6.229 * [backup-simplify]: Simplify 0 into 0 6.229 * [backup-simplify]: Simplify 1 into 1 6.230 * [backup-simplify]: Simplify (* 1 1) into 1 6.230 * [backup-simplify]: Simplify (/ 1 1) into 1 6.230 * [taylor]: Taking taylor expansion of (- +nan.0) in im 6.230 * [taylor]: Taking taylor expansion of +nan.0 in im 6.230 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.231 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.233 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 6.233 * [backup-simplify]: Simplify (+ 0 0) into 0 6.234 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 6.234 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 6.235 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0 6.235 * [backup-simplify]: Simplify 0 into 0 6.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.238 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 6.239 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.240 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 6.243 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0) 6.243 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.245 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 re)) 2)) (+ (* +nan.0 (* 1 (/ 1 re))) +nan.0)) into (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0))))) 6.246 * [backup-simplify]: Simplify (sqrt (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) into (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) 6.246 * [approximate]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in (re im) around 0 6.246 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 6.246 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 6.246 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 6.246 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 6.247 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.247 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.247 * [taylor]: Taking taylor expansion of re in im 6.247 * [backup-simplify]: Simplify re into re 6.247 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.247 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.247 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.247 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.247 * [taylor]: Taking taylor expansion of im in im 6.247 * [backup-simplify]: Simplify 0 into 0 6.247 * [backup-simplify]: Simplify 1 into 1 6.250 * [backup-simplify]: Simplify (* 1 1) into 1 6.251 * [backup-simplify]: Simplify (/ 1 1) into 1 6.251 * [backup-simplify]: Simplify (+ 0 1) into 1 6.251 * [backup-simplify]: Simplify (sqrt 1) into 1 6.252 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.253 * [backup-simplify]: Simplify (+ 0 0) into 0 6.255 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.255 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.255 * [taylor]: Taking taylor expansion of re in im 6.255 * [backup-simplify]: Simplify re into re 6.255 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.255 * [backup-simplify]: Simplify (+ 1 0) into 1 6.256 * [backup-simplify]: Simplify (sqrt 0) into 0 6.257 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.257 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 6.257 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 6.257 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.257 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.258 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 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 (* 1 1) into 1 6.258 * [backup-simplify]: Simplify (/ 1 1) into 1 6.259 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.259 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.259 * [taylor]: Taking taylor expansion of im in re 6.259 * [backup-simplify]: Simplify im into im 6.259 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.259 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.260 * [backup-simplify]: Simplify (+ 1 0) into 1 6.260 * [backup-simplify]: Simplify (sqrt 1) into 1 6.261 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.262 * [backup-simplify]: Simplify (+ 0 0) into 0 6.263 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.263 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.263 * [taylor]: Taking taylor expansion of re in re 6.263 * [backup-simplify]: Simplify 0 into 0 6.263 * [backup-simplify]: Simplify 1 into 1 6.263 * [backup-simplify]: Simplify (/ 1 1) into 1 6.264 * [backup-simplify]: Simplify (- 1) into -1 6.264 * [backup-simplify]: Simplify (+ 1 -1) into 0 6.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.266 * [backup-simplify]: Simplify (- 0) into 0 6.266 * [backup-simplify]: Simplify (+ 0 0) into 0 6.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.269 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.271 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.272 * [backup-simplify]: Simplify (- 0) into 0 6.273 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 6.273 * [backup-simplify]: Simplify (sqrt 0) into 0 6.274 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 6.275 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 6.275 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 6.275 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.275 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.275 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.275 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.275 * [taylor]: Taking taylor expansion of re in re 6.275 * [backup-simplify]: Simplify 0 into 0 6.275 * [backup-simplify]: Simplify 1 into 1 6.275 * [backup-simplify]: Simplify (* 1 1) into 1 6.276 * [backup-simplify]: Simplify (/ 1 1) into 1 6.276 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.276 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.276 * [taylor]: Taking taylor expansion of im in re 6.276 * [backup-simplify]: Simplify im into im 6.276 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.276 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.277 * [backup-simplify]: Simplify (+ 1 0) into 1 6.277 * [backup-simplify]: Simplify (sqrt 1) into 1 6.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.280 * [backup-simplify]: Simplify (+ 0 0) into 0 6.280 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.280 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.280 * [taylor]: Taking taylor expansion of re in re 6.281 * [backup-simplify]: Simplify 0 into 0 6.281 * [backup-simplify]: Simplify 1 into 1 6.281 * [backup-simplify]: Simplify (/ 1 1) into 1 6.281 * [backup-simplify]: Simplify (- 1) into -1 6.282 * [backup-simplify]: Simplify (+ 1 -1) into 0 6.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.283 * [backup-simplify]: Simplify (- 0) into 0 6.284 * [backup-simplify]: Simplify (+ 0 0) into 0 6.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.286 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.288 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.290 * [backup-simplify]: Simplify (- 0) into 0 6.290 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 6.291 * [backup-simplify]: Simplify (sqrt 0) into 0 6.292 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 6.292 * [taylor]: Taking taylor expansion of 0 in im 6.292 * [backup-simplify]: Simplify 0 into 0 6.292 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 2)) in im 6.292 * [taylor]: Taking taylor expansion of +nan.0 in im 6.292 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.292 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.292 * [taylor]: Taking taylor expansion of im in im 6.292 * [backup-simplify]: Simplify 0 into 0 6.292 * [backup-simplify]: Simplify 1 into 1 6.293 * [backup-simplify]: Simplify (* 1 1) into 1 6.293 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 6.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.295 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0 6.295 * [backup-simplify]: Simplify 0 into 0 6.295 * [backup-simplify]: Simplify 0 into 0 6.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.298 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.299 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.299 * [backup-simplify]: Simplify (+ 0 0) into 0 6.301 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.302 * [backup-simplify]: Simplify (- 0) into 0 6.302 * [backup-simplify]: Simplify (+ 0 0) into 0 6.303 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 6.303 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 4)) in im 6.303 * [taylor]: Taking taylor expansion of +nan.0 in im 6.303 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.303 * [taylor]: Taking taylor expansion of (pow im 4) in im 6.303 * [taylor]: Taking taylor expansion of im in im 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 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 6.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0 6.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.309 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.309 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.309 * [backup-simplify]: Simplify 0 into 0 6.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.311 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.311 * [backup-simplify]: Simplify 0 into 0 6.311 * [backup-simplify]: Simplify 0 into 0 6.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.313 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.314 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 6.314 * [backup-simplify]: Simplify (+ 0 0) into 0 6.316 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 6.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.316 * [backup-simplify]: Simplify (- 0) into 0 6.317 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 6.318 * [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))))) 6.318 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4))))) in im 6.318 * [taylor]: Taking taylor expansion of +nan.0 in im 6.318 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.318 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))) in im 6.318 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 6))) in im 6.318 * [taylor]: Taking taylor expansion of +nan.0 in im 6.318 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.318 * [taylor]: Taking taylor expansion of (/ 1 (pow im 6)) in im 6.318 * [taylor]: Taking taylor expansion of (pow im 6) 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 * [backup-simplify]: Simplify (* 1 1) into 1 6.319 * [backup-simplify]: Simplify (* 1 1) into 1 6.319 * [backup-simplify]: Simplify (* 1 1) into 1 6.320 * [backup-simplify]: Simplify (/ 1 1) into 1 6.320 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow im 4))) in im 6.320 * [taylor]: Taking taylor expansion of 1/8 in im 6.320 * [backup-simplify]: Simplify 1/8 into 1/8 6.320 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 6.320 * [taylor]: Taking taylor expansion of (pow im 4) in im 6.320 * [taylor]: Taking taylor expansion of im in im 6.320 * [backup-simplify]: Simplify 0 into 0 6.320 * [backup-simplify]: Simplify 1 into 1 6.320 * [backup-simplify]: Simplify (* 1 1) into 1 6.320 * [backup-simplify]: Simplify (* 1 1) into 1 6.321 * [backup-simplify]: Simplify (/ 1 1) into 1 6.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.324 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 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 6.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.342 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.348 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.348 * [backup-simplify]: Simplify (+ 0 0) into 0 6.349 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.349 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 1))) into 0 6.350 * [backup-simplify]: Simplify (+ 0 0) into 0 6.350 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.351 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0 6.351 * [backup-simplify]: Simplify (+ 0 0) into 0 6.352 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 6.352 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 6.352 * [backup-simplify]: Simplify (+ 0 1/8) into 1/8 6.353 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 6.353 * [backup-simplify]: Simplify (+ 0 0) into 0 6.353 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 6.354 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 6.355 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/8) (+ (* 0 0) (* 0 (- +nan.0))))))) into 0 6.355 * [backup-simplify]: Simplify 0 into 0 6.355 * [backup-simplify]: Simplify 0 into 0 6.355 * * * [progress]: simplifying candidates 6.355 * * * * [progress]: [ 1 / 92 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))) re)))))> 6.355 * * * * [progress]: [ 2 / 92 ] simplifiying candidate # 6.355 * * * * [progress]: [ 3 / 92 ] simplifiying candidate # 6.355 * * * * [progress]: [ 4 / 92 ] simplifiying candidate # 6.355 * * * * [progress]: [ 5 / 92 ] simplifiying candidate # 6.355 * * * * [progress]: [ 6 / 92 ] simplifiying candidate # 6.355 * * * * [progress]: [ 7 / 92 ] simplifiying candidate # 6.355 * * * * [progress]: [ 8 / 92 ] simplifiying candidate # 6.355 * * * * [progress]: [ 9 / 92 ] simplifiying candidate # 6.355 * * * * [progress]: [ 10 / 92 ] simplifiying candidate # 6.356 * * * * [progress]: [ 11 / 92 ] simplifiying candidate # 6.356 * * * * [progress]: [ 12 / 92 ] simplifiying candidate # 6.356 * * * * [progress]: [ 13 / 92 ] simplifiying candidate # 6.356 * * * * [progress]: [ 14 / 92 ] simplifiying candidate # 6.356 * * * * [progress]: [ 15 / 92 ] simplifiying candidate # 6.356 * * * * [progress]: [ 16 / 92 ] simplifiying candidate # 6.356 * * * * [progress]: [ 17 / 92 ] simplifiying candidate #real (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)))))))> 6.356 * * * * [progress]: [ 18 / 92 ] simplifiying candidate # 6.356 * * * * [progress]: [ 19 / 92 ] simplifiying candidate # 6.356 * * * * [progress]: [ 20 / 92 ] simplifiying candidate # 6.356 * * * * [progress]: [ 21 / 92 ] simplifiying candidate # 6.356 * * * * [progress]: [ 22 / 92 ] simplifiying candidate # 6.356 * * * * [progress]: [ 23 / 92 ] simplifiying candidate # 6.356 * * * * [progress]: [ 24 / 92 ] simplifiying candidate # 6.356 * * * * [progress]: [ 25 / 92 ] simplifiying candidate # 6.356 * * * * [progress]: [ 26 / 92 ] simplifiying candidate # 6.356 * * * * [progress]: [ 27 / 92 ] simplifiying candidate # 6.356 * * * * [progress]: [ 28 / 92 ] simplifiying candidate # 6.356 * * * * [progress]: [ 29 / 92 ] simplifiying candidate # 6.356 * * * * [progress]: [ 30 / 92 ] simplifiying candidate #real (real->posit16 (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))> 6.356 * * * * [progress]: [ 31 / 92 ] simplifiying candidate # 6.356 * * * * [progress]: [ 32 / 92 ] simplifiying candidate # 6.356 * * * * [progress]: [ 33 / 92 ] simplifiying candidate # 6.356 * * * * [progress]: [ 34 / 92 ] simplifiying candidate # 6.357 * * * * [progress]: [ 35 / 92 ] simplifiying candidate # 6.357 * * * * [progress]: [ 36 / 92 ] simplifiying candidate # 6.357 * * * * [progress]: [ 37 / 92 ] simplifiying candidate # 6.357 * * * * [progress]: [ 38 / 92 ] simplifiying candidate # 6.357 * * * * [progress]: [ 39 / 92 ] simplifiying candidate # 6.357 * * * * [progress]: [ 40 / 92 ] simplifiying candidate # 6.357 * * * * [progress]: [ 41 / 92 ] simplifiying candidate # 6.357 * * * * [progress]: [ 42 / 92 ] simplifiying candidate # 6.357 * * * * [progress]: [ 43 / 92 ] simplifiying candidate # 6.357 * * * * [progress]: [ 44 / 92 ] simplifiying candidate # 6.357 * * * * [progress]: [ 45 / 92 ] simplifiying candidate # 6.357 * * * * [progress]: [ 46 / 92 ] simplifiying candidate # 6.357 * * * * [progress]: [ 47 / 92 ] simplifiying candidate # 6.357 * * * * [progress]: [ 48 / 92 ] simplifiying candidate # 6.357 * * * * [progress]: [ 49 / 92 ] simplifiying candidate # 6.357 * * * * [progress]: [ 50 / 92 ] simplifiying candidate # 6.357 * * * * [progress]: [ 51 / 92 ] simplifiying candidate # 6.357 * * * * [progress]: [ 52 / 92 ] simplifiying candidate # 6.357 * * * * [progress]: [ 53 / 92 ] simplifiying candidate # 6.357 * * * * [progress]: [ 54 / 92 ] simplifiying candidate # 6.357 * * * * [progress]: [ 55 / 92 ] simplifiying candidate # 6.357 * * * * [progress]: [ 56 / 92 ] simplifiying candidate # 6.357 * * * * [progress]: [ 57 / 92 ] simplifiying candidate # 6.357 * * * * [progress]: [ 58 / 92 ] simplifiying candidate # 6.358 * * * * [progress]: [ 59 / 92 ] simplifiying candidate # 6.358 * * * * [progress]: [ 60 / 92 ] simplifiying candidate # 6.358 * * * * [progress]: [ 61 / 92 ] simplifiying candidate # 6.358 * * * * [progress]: [ 62 / 92 ] simplifiying candidate # 6.358 * * * * [progress]: [ 63 / 92 ] simplifiying candidate # 6.358 * * * * [progress]: [ 64 / 92 ] simplifiying candidate #real (real->posit16 (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))> 6.358 * * * * [progress]: [ 65 / 92 ] simplifiying candidate # 6.358 * * * * [progress]: [ 66 / 92 ] simplifiying candidate # 6.358 * * * * [progress]: [ 67 / 92 ] simplifiying candidate # 6.358 * * * * [progress]: [ 68 / 92 ] simplifiying candidate # 6.358 * * * * [progress]: [ 69 / 92 ] simplifiying candidate # 6.358 * * * * [progress]: [ 70 / 92 ] simplifiying candidate # 6.358 * * * * [progress]: [ 71 / 92 ] simplifiying candidate # 6.358 * * * * [progress]: [ 72 / 92 ] simplifiying candidate # 6.358 * * * * [progress]: [ 73 / 92 ] simplifiying candidate # 6.358 * * * * [progress]: [ 74 / 92 ] simplifiying candidate # 6.358 * * * * [progress]: [ 75 / 92 ] simplifiying candidate # 6.358 * * * * [progress]: [ 76 / 92 ] simplifiying candidate # 6.358 * * * * [progress]: [ 77 / 92 ] simplifiying candidate # 6.358 * * * * [progress]: [ 78 / 92 ] simplifiying candidate # 6.358 * * * * [progress]: [ 79 / 92 ] simplifiying candidate # 6.358 * * * * [progress]: [ 80 / 92 ] simplifiying candidate # 6.358 * * * * [progress]: [ 81 / 92 ] simplifiying candidate # 6.358 * * * * [progress]: [ 82 / 92 ] simplifiying candidate # 6.358 * * * * [progress]: [ 83 / 92 ] simplifiying candidate # 6.359 * * * * [progress]: [ 84 / 92 ] simplifiying candidate # 6.359 * * * * [progress]: [ 85 / 92 ] simplifiying candidate # 6.359 * * * * [progress]: [ 86 / 92 ] simplifiying candidate # 6.359 * * * * [progress]: [ 87 / 92 ] simplifiying candidate # 6.359 * * * * [progress]: [ 88 / 92 ] simplifiying candidate # 6.359 * * * * [progress]: [ 89 / 92 ] simplifiying candidate # 6.359 * * * * [progress]: [ 90 / 92 ] simplifiying candidate # 6.359 * * * * [progress]: [ 91 / 92 ] simplifiying candidate # 6.359 * * * * [progress]: [ 92 / 92 ] simplifiying candidate # 6.360 * [simplify]: Simplifying: (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))) 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 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) (+ (log (sqrt 2.0)) (log (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (log (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (* (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt 2.0) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt 2.0) (sqrt (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt 2.0) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt 2.0) (sqrt 1)) (* (sqrt 2.0) (sqrt 1)) (* (sqrt 2.0) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt 2.0) 1) (* (cbrt (sqrt 2.0)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (* (sqrt (cbrt 2.0)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (* (sqrt (sqrt 2.0)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (* (sqrt (sqrt 2.0)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (* (sqrt 2.0) (sqrt (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (* (sqrt 2.0) (sqrt (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (real->posit16 (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (log (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (exp (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (* (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt 1) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt 1) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) im re (* -1 re) (+ re im) (* 2 re) 0 (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 0 (- (+ (* +nan.0 re) (- (+ (* +nan.0 (pow re 2)) (- (* +nan.0 im)))))) (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0))))) 0 6.362 * * [simplify]: iteration 0: 147 enodes 6.503 * * [simplify]: iteration 1: 357 enodes 6.916 * * [simplify]: iteration 2: 1031 enodes 8.662 * * [simplify]: iteration 3: 3611 enodes 12.660 * * [simplify]: iteration complete: 5002 enodes 12.660 * * [simplify]: Extracting #0: cost 70 inf + 0 12.661 * * [simplify]: Extracting #1: cost 325 inf + 210 12.667 * * [simplify]: Extracting #2: cost 955 inf + 3178 12.688 * * [simplify]: Extracting #3: cost 1080 inf + 46503 12.744 * * [simplify]: Extracting #4: cost 436 inf + 148910 12.802 * * [simplify]: Extracting #5: cost 73 inf + 219304 12.861 * * [simplify]: Extracting #6: cost 1 inf + 245101 12.960 * * [simplify]: Extracting #7: cost 0 inf + 245544 13.020 * [simplify]: Simplified to: (real->posit16 (sqrt (+ (* im im) (* re re)))) (log (sqrt (+ (* im im) (* re re)))) (exp (sqrt (+ (* im im) (* re re)))) (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re)))) (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (fabs (cbrt (+ (* im im) (* re re)))) (sqrt (cbrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) 1 (sqrt (+ (* im im) (* re re))) (sqrt (+ (* (* im im) (* (* im im) (* im im))) (* (* (* re re) re) (* (* re re) re)))) (sqrt (+ (* (* re re) (* re re)) (* (* im im) (- (* im im) (* re re))))) (sqrt (- (* (* 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 (+ re (sqrt (+ (* im im) (* re re))))) (exp (+ (sqrt (+ (* im im) (* re re))) re)) (log (+ re (sqrt (+ (* im im) (* re re))))) (exp (+ (sqrt (+ (* im im) (* re re))) re)) (* (cbrt (+ re (sqrt (+ (* im im) (* re re))))) (cbrt (+ re (sqrt (+ (* im im) (* re re)))))) (cbrt (+ re (sqrt (+ (* im im) (* re re))))) (* (+ re (sqrt (+ (* im im) (* re re)))) (* (+ re (sqrt (+ (* im im) (* re re)))) (+ re (sqrt (+ (* im im) (* re re)))))) (sqrt (+ re (sqrt (+ (* im im) (* re re))))) (sqrt (+ re (sqrt (+ (* im im) (* re re))))) (+ (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* (* re re) re)) (- (* re re) (* (sqrt (+ (* im im) (* re re))) (- re (sqrt (+ (* im im) (* re re)))))) (* im im) (- (sqrt (+ (* im im) (* re re))) re) (+ re (sqrt (+ (* im im) (* re re)))) (real->posit16 (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (* im im) (* re re))))))) (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)) (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (* im im) (* re re)))))) (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)) (log (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (* im im) (* re re))))))) (log (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (* im im) (* re re))))))) (exp (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (* im im) (* re re))))))) (* (* (sqrt (+ re (sqrt (+ (* im im) (* re re))))) 2.0) (* (+ re (sqrt (+ (* im im) (* re re)))) (sqrt 2.0))) (* (cbrt (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (* im im) (* re re))))))) (cbrt (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (* im im) (* re re)))))))) (cbrt (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (* im im) (* re re))))))) (* (* (sqrt (+ re (sqrt (+ (* im im) (* re re))))) 2.0) (* (+ re (sqrt (+ (* im im) (* re re)))) (sqrt 2.0))) (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)) (sqrt (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (* im im) (* re re))))))) (sqrt (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (* im im) (* re re))))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (sqrt (+ (* im im) (* re re))))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (sqrt (+ (* im im) (* re re))))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (sqrt (+ (* im im) (* re re))))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (sqrt (+ (* im im) (* re re))))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (sqrt (+ (* im im) (* re re))))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (sqrt (+ (* im im) (* re re))))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (sqrt (+ (* im im) (* re re))))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (sqrt (+ (* im im) (* re re))))))) (* (* (cbrt (sqrt (+ re (sqrt (+ (* im im) (* re re)))))) (cbrt (sqrt (+ re (sqrt (+ (* im im) (* re re))))))) (sqrt 2.0)) (* (sqrt 2.0) (fabs (cbrt (+ re (sqrt (+ (* im im) (* re re))))))) (* (sqrt (sqrt (+ re (sqrt (+ (* im im) (* re re)))))) (sqrt 2.0)) (sqrt 2.0) (sqrt 2.0) (* (sqrt (sqrt (+ re (sqrt (+ (* im im) (* re re)))))) (sqrt 2.0)) (sqrt 2.0) (* (sqrt (+ re (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt 2.0))) (* (sqrt (+ re (sqrt (+ (* im im) (* re re))))) (sqrt (cbrt 2.0))) (* (sqrt (+ re (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt 2.0))) (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (* im im) (* re re)))))) (* (sqrt (+ re (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt 2.0))) (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (* im im) (* re re)))))) (* (sqrt 2.0) (sqrt (+ (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* (* re re) re)))) (* (sqrt (* im im)) (sqrt 2.0)) (real->posit16 (sqrt (+ re (sqrt (+ (* im im) (* re re)))))) (log (sqrt (+ re (sqrt (+ (* im im) (* re re)))))) (exp (sqrt (+ re (sqrt (+ (* im im) (* re re)))))) (* (cbrt (sqrt (+ re (sqrt (+ (* im im) (* re re)))))) (cbrt (sqrt (+ re (sqrt (+ (* im im) (* re re))))))) (cbrt (sqrt (+ re (sqrt (+ (* im im) (* re re)))))) (* (+ re (sqrt (+ (* im im) (* re re)))) (sqrt (+ re (sqrt (+ (* im im) (* re re)))))) (fabs (cbrt (+ re (sqrt (+ (* im im) (* re re)))))) (sqrt (cbrt (+ re (sqrt (+ (* im im) (* re re)))))) (sqrt (sqrt (+ re (sqrt (+ (* im im) (* re re)))))) (sqrt (sqrt (+ re (sqrt (+ (* im im) (* re re)))))) 1 (sqrt (+ re (sqrt (+ (* im im) (* re re))))) 1 (sqrt (+ re (sqrt (+ (* im im) (* re re))))) (sqrt (+ (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* (* re re) re))) (sqrt (- (* re re) (* (sqrt (+ (* im im) (* re re))) (- re (sqrt (+ (* im im) (* re re))))))) (sqrt (* im im)) (sqrt (- (sqrt (+ (* im im) (* re re))) re)) 1/2 (sqrt (sqrt (+ re (sqrt (+ (* im im) (* re re)))))) (sqrt (sqrt (+ re (sqrt (+ (* im im) (* re re)))))) im re (- re) (+ re im) (* 2 re) 0 (+ (* +nan.0 (- (* (sqrt 2.0) im) (* re (sqrt 2.0)))) (* (* (* re re) (sqrt 2.0)) (- +nan.0))) (- (* (sqrt 2.0) (- +nan.0)) (* (/ (sqrt 2.0) re) (+ (- +nan.0) (/ +nan.0 re)))) 0 (+ (* +nan.0 (- (* re re) im)) (* +nan.0 (- re))) (+ (- (/ +nan.0 (* re re)) +nan.0) (/ (- +nan.0) re)) 0 13.027 * * * [progress]: adding candidates to table 14.073 * * [progress]: iteration 3 / 4 14.073 * * * [progress]: picking best candidate 14.191 * * * * [pick]: Picked # 14.191 * * * [progress]: localizing error 14.262 * * * [progress]: generating rewritten candidates 14.262 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1) 14.276 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1) 14.290 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 14.355 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1) 14.458 * * * [progress]: generating series expansions 14.458 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1) 14.459 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 14.459 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 14.459 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 14.459 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 14.459 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.459 * [taylor]: Taking taylor expansion of im in im 14.459 * [backup-simplify]: Simplify 0 into 0 14.459 * [backup-simplify]: Simplify 1 into 1 14.459 * [taylor]: Taking taylor expansion of (pow re 2) in im 14.459 * [taylor]: Taking taylor expansion of re in im 14.459 * [backup-simplify]: Simplify re into re 14.459 * [backup-simplify]: Simplify (* re re) into (pow re 2) 14.460 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 14.460 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 14.460 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 14.461 * [backup-simplify]: Simplify (+ 0 0) into 0 14.462 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 14.462 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 14.462 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 14.462 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.462 * [taylor]: Taking taylor expansion of im in re 14.462 * [backup-simplify]: Simplify im into im 14.462 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.462 * [taylor]: Taking taylor expansion of re in re 14.462 * [backup-simplify]: Simplify 0 into 0 14.462 * [backup-simplify]: Simplify 1 into 1 14.462 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.463 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 14.463 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 14.463 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 14.464 * [backup-simplify]: Simplify (+ 0 0) into 0 14.464 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 14.464 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 14.464 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 14.464 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.464 * [taylor]: Taking taylor expansion of im in re 14.464 * [backup-simplify]: Simplify im into im 14.464 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.465 * [taylor]: Taking taylor expansion of re in re 14.465 * [backup-simplify]: Simplify 0 into 0 14.465 * [backup-simplify]: Simplify 1 into 1 14.465 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.465 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 14.466 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 14.466 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 14.466 * [backup-simplify]: Simplify (+ 0 0) into 0 14.467 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 14.467 * [taylor]: Taking taylor expansion of im in im 14.467 * [backup-simplify]: Simplify 0 into 0 14.467 * [backup-simplify]: Simplify 1 into 1 14.467 * [backup-simplify]: Simplify 0 into 0 14.467 * [taylor]: Taking taylor expansion of 0 in im 14.467 * [backup-simplify]: Simplify 0 into 0 14.467 * [backup-simplify]: Simplify 0 into 0 14.467 * [backup-simplify]: Simplify 1 into 1 14.468 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 14.468 * [backup-simplify]: Simplify (* 1 1) into 1 14.469 * [backup-simplify]: Simplify (+ 0 1) into 1 14.470 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 14.470 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 14.470 * [taylor]: Taking taylor expansion of 1/2 in im 14.470 * [backup-simplify]: Simplify 1/2 into 1/2 14.470 * [taylor]: Taking taylor expansion of im in im 14.470 * [backup-simplify]: Simplify 0 into 0 14.470 * [backup-simplify]: Simplify 1 into 1 14.471 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 14.472 * [backup-simplify]: Simplify 0 into 0 14.472 * [backup-simplify]: Simplify 0 into 0 14.472 * [backup-simplify]: Simplify 0 into 0 14.473 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 14.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.474 * [backup-simplify]: Simplify (+ 0 0) into 0 14.475 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 14.475 * [taylor]: Taking taylor expansion of 0 in im 14.475 * [backup-simplify]: Simplify 0 into 0 14.475 * [backup-simplify]: Simplify 0 into 0 14.478 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.479 * [backup-simplify]: Simplify 0 into 0 14.479 * [backup-simplify]: Simplify 0 into 0 14.479 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 14.480 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 14.480 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 14.480 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 14.480 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 14.480 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 14.480 * [taylor]: Taking taylor expansion of (pow re 2) in im 14.480 * [taylor]: Taking taylor expansion of re in im 14.480 * [backup-simplify]: Simplify re into re 14.480 * [backup-simplify]: Simplify (* re re) into (pow re 2) 14.481 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 14.481 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 14.481 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.481 * [taylor]: Taking taylor expansion of im in im 14.481 * [backup-simplify]: Simplify 0 into 0 14.481 * [backup-simplify]: Simplify 1 into 1 14.481 * [backup-simplify]: Simplify (* 1 1) into 1 14.482 * [backup-simplify]: Simplify (/ 1 1) into 1 14.482 * [backup-simplify]: Simplify (+ 0 1) into 1 14.483 * [backup-simplify]: Simplify (sqrt 1) into 1 14.484 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.485 * [backup-simplify]: Simplify (+ 0 0) into 0 14.486 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.486 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 14.486 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 14.486 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 14.486 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.486 * [taylor]: Taking taylor expansion of re in re 14.486 * [backup-simplify]: Simplify 0 into 0 14.486 * [backup-simplify]: Simplify 1 into 1 14.487 * [backup-simplify]: Simplify (* 1 1) into 1 14.487 * [backup-simplify]: Simplify (/ 1 1) into 1 14.487 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 14.487 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.487 * [taylor]: Taking taylor expansion of im in re 14.487 * [backup-simplify]: Simplify im into im 14.487 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.488 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 14.488 * [backup-simplify]: Simplify (+ 1 0) into 1 14.489 * [backup-simplify]: Simplify (sqrt 1) into 1 14.489 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.491 * [backup-simplify]: Simplify (+ 0 0) into 0 14.492 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.492 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 14.492 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 14.492 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 14.492 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.492 * [taylor]: Taking taylor expansion of re in re 14.492 * [backup-simplify]: Simplify 0 into 0 14.492 * [backup-simplify]: Simplify 1 into 1 14.492 * [backup-simplify]: Simplify (* 1 1) into 1 14.493 * [backup-simplify]: Simplify (/ 1 1) into 1 14.493 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 14.493 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.493 * [taylor]: Taking taylor expansion of im in re 14.493 * [backup-simplify]: Simplify im into im 14.493 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.494 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 14.494 * [backup-simplify]: Simplify (+ 1 0) into 1 14.495 * [backup-simplify]: Simplify (sqrt 1) into 1 14.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.497 * [backup-simplify]: Simplify (+ 0 0) into 0 14.497 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.497 * [taylor]: Taking taylor expansion of 1 in im 14.497 * [backup-simplify]: Simplify 1 into 1 14.498 * [taylor]: Taking taylor expansion of 0 in im 14.498 * [backup-simplify]: Simplify 0 into 0 14.498 * [backup-simplify]: Simplify 1 into 1 14.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.500 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 14.502 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 14.502 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 14.502 * [taylor]: Taking taylor expansion of 1/2 in im 14.502 * [backup-simplify]: Simplify 1/2 into 1/2 14.502 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.502 * [taylor]: Taking taylor expansion of im in im 14.503 * [backup-simplify]: Simplify 0 into 0 14.503 * [backup-simplify]: Simplify 1 into 1 14.503 * [backup-simplify]: Simplify (* 1 1) into 1 14.503 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 14.505 * [backup-simplify]: Simplify 0 into 0 14.505 * [backup-simplify]: Simplify 0 into 0 14.505 * [backup-simplify]: Simplify 0 into 0 14.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.508 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 14.509 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 14.510 * [backup-simplify]: Simplify (+ 0 0) into 0 14.511 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 14.511 * [taylor]: Taking taylor expansion of 0 in im 14.511 * [backup-simplify]: Simplify 0 into 0 14.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.513 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.514 * [backup-simplify]: Simplify 0 into 0 14.514 * [backup-simplify]: Simplify 0 into 0 14.514 * [backup-simplify]: Simplify 0 into 0 14.514 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 14.515 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 14.515 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 14.515 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 14.515 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 14.515 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 14.515 * [taylor]: Taking taylor expansion of (pow re 2) in im 14.515 * [taylor]: Taking taylor expansion of re in im 14.515 * [backup-simplify]: Simplify re into re 14.515 * [backup-simplify]: Simplify (* re re) into (pow re 2) 14.516 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 14.516 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 14.516 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.516 * [taylor]: Taking taylor expansion of im in im 14.516 * [backup-simplify]: Simplify 0 into 0 14.516 * [backup-simplify]: Simplify 1 into 1 14.517 * [backup-simplify]: Simplify (* 1 1) into 1 14.517 * [backup-simplify]: Simplify (/ 1 1) into 1 14.517 * [backup-simplify]: Simplify (+ 0 1) into 1 14.518 * [backup-simplify]: Simplify (sqrt 1) into 1 14.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.520 * [backup-simplify]: Simplify (+ 0 0) into 0 14.521 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.521 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 14.521 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 14.521 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 14.521 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.521 * [taylor]: Taking taylor expansion of re in re 14.521 * [backup-simplify]: Simplify 0 into 0 14.521 * [backup-simplify]: Simplify 1 into 1 14.521 * [backup-simplify]: Simplify (* 1 1) into 1 14.522 * [backup-simplify]: Simplify (/ 1 1) into 1 14.522 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 14.522 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.522 * [taylor]: Taking taylor expansion of im in re 14.522 * [backup-simplify]: Simplify im into im 14.522 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.523 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 14.523 * [backup-simplify]: Simplify (+ 1 0) into 1 14.524 * [backup-simplify]: Simplify (sqrt 1) into 1 14.524 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.526 * [backup-simplify]: Simplify (+ 0 0) into 0 14.527 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.527 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 14.527 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 14.527 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 14.527 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.527 * [taylor]: Taking taylor expansion of re in re 14.527 * [backup-simplify]: Simplify 0 into 0 14.527 * [backup-simplify]: Simplify 1 into 1 14.527 * [backup-simplify]: Simplify (* 1 1) into 1 14.528 * [backup-simplify]: Simplify (/ 1 1) into 1 14.528 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 14.528 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.528 * [taylor]: Taking taylor expansion of im in re 14.528 * [backup-simplify]: Simplify im into im 14.528 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.529 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 14.529 * [backup-simplify]: Simplify (+ 1 0) into 1 14.529 * [backup-simplify]: Simplify (sqrt 1) into 1 14.530 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.531 * [backup-simplify]: Simplify (+ 0 0) into 0 14.532 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.532 * [taylor]: Taking taylor expansion of 1 in im 14.532 * [backup-simplify]: Simplify 1 into 1 14.532 * [taylor]: Taking taylor expansion of 0 in im 14.532 * [backup-simplify]: Simplify 0 into 0 14.533 * [backup-simplify]: Simplify 1 into 1 14.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.536 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 14.537 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 14.538 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 14.538 * [taylor]: Taking taylor expansion of 1/2 in im 14.538 * [backup-simplify]: Simplify 1/2 into 1/2 14.538 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.538 * [taylor]: Taking taylor expansion of im in im 14.538 * [backup-simplify]: Simplify 0 into 0 14.538 * [backup-simplify]: Simplify 1 into 1 14.538 * [backup-simplify]: Simplify (* 1 1) into 1 14.539 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.539 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 14.540 * [backup-simplify]: Simplify 0 into 0 14.540 * [backup-simplify]: Simplify 0 into 0 14.541 * [backup-simplify]: Simplify 0 into 0 14.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.543 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 14.544 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 14.545 * [backup-simplify]: Simplify (+ 0 0) into 0 14.546 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 14.546 * [taylor]: Taking taylor expansion of 0 in im 14.546 * [backup-simplify]: Simplify 0 into 0 14.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.549 * [backup-simplify]: Simplify 0 into 0 14.549 * [backup-simplify]: Simplify 0 into 0 14.549 * [backup-simplify]: Simplify 0 into 0 14.549 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 14.549 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1) 14.550 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 14.550 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 14.550 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 14.550 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 14.550 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.550 * [taylor]: Taking taylor expansion of im in im 14.550 * [backup-simplify]: Simplify 0 into 0 14.550 * [backup-simplify]: Simplify 1 into 1 14.550 * [taylor]: Taking taylor expansion of (pow re 2) in im 14.550 * [taylor]: Taking taylor expansion of re in im 14.550 * [backup-simplify]: Simplify re into re 14.550 * [backup-simplify]: Simplify (* re re) into (pow re 2) 14.551 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 14.551 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 14.551 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 14.552 * [backup-simplify]: Simplify (+ 0 0) into 0 14.552 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 14.552 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 14.552 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 14.552 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.553 * [taylor]: Taking taylor expansion of im in re 14.553 * [backup-simplify]: Simplify im into im 14.553 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.553 * [taylor]: Taking taylor expansion of re in re 14.553 * [backup-simplify]: Simplify 0 into 0 14.553 * [backup-simplify]: Simplify 1 into 1 14.553 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.553 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 14.554 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 14.554 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 14.555 * [backup-simplify]: Simplify (+ 0 0) into 0 14.555 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 14.555 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 14.555 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 14.555 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.555 * [taylor]: Taking taylor expansion of im in re 14.555 * [backup-simplify]: Simplify im into im 14.555 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.555 * [taylor]: Taking taylor expansion of re in re 14.555 * [backup-simplify]: Simplify 0 into 0 14.555 * [backup-simplify]: Simplify 1 into 1 14.556 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.556 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 14.556 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 14.557 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 14.557 * [backup-simplify]: Simplify (+ 0 0) into 0 14.558 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 14.558 * [taylor]: Taking taylor expansion of im in im 14.558 * [backup-simplify]: Simplify 0 into 0 14.558 * [backup-simplify]: Simplify 1 into 1 14.558 * [backup-simplify]: Simplify 0 into 0 14.558 * [taylor]: Taking taylor expansion of 0 in im 14.558 * [backup-simplify]: Simplify 0 into 0 14.558 * [backup-simplify]: Simplify 0 into 0 14.558 * [backup-simplify]: Simplify 1 into 1 14.559 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 14.559 * [backup-simplify]: Simplify (* 1 1) into 1 14.560 * [backup-simplify]: Simplify (+ 0 1) into 1 14.561 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 14.561 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 14.561 * [taylor]: Taking taylor expansion of 1/2 in im 14.561 * [backup-simplify]: Simplify 1/2 into 1/2 14.561 * [taylor]: Taking taylor expansion of im in im 14.561 * [backup-simplify]: Simplify 0 into 0 14.561 * [backup-simplify]: Simplify 1 into 1 14.562 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.563 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 14.563 * [backup-simplify]: Simplify 0 into 0 14.563 * [backup-simplify]: Simplify 0 into 0 14.563 * [backup-simplify]: Simplify 0 into 0 14.564 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 14.565 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.565 * [backup-simplify]: Simplify (+ 0 0) into 0 14.566 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 14.566 * [taylor]: Taking taylor expansion of 0 in im 14.566 * [backup-simplify]: Simplify 0 into 0 14.566 * [backup-simplify]: Simplify 0 into 0 14.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.567 * [backup-simplify]: Simplify 0 into 0 14.567 * [backup-simplify]: Simplify 0 into 0 14.567 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 14.568 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 14.568 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 14.568 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 14.568 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 14.568 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 14.568 * [taylor]: Taking taylor expansion of (pow re 2) in im 14.568 * [taylor]: Taking taylor expansion of re in im 14.568 * [backup-simplify]: Simplify re into re 14.569 * [backup-simplify]: Simplify (* re re) into (pow re 2) 14.569 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 14.569 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 14.569 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.569 * [taylor]: Taking taylor expansion of im in im 14.569 * [backup-simplify]: Simplify 0 into 0 14.569 * [backup-simplify]: Simplify 1 into 1 14.570 * [backup-simplify]: Simplify (* 1 1) into 1 14.570 * [backup-simplify]: Simplify (/ 1 1) into 1 14.571 * [backup-simplify]: Simplify (+ 0 1) into 1 14.571 * [backup-simplify]: Simplify (sqrt 1) into 1 14.572 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.573 * [backup-simplify]: Simplify (+ 0 0) into 0 14.574 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.574 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 14.574 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 14.574 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 14.574 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.574 * [taylor]: Taking taylor expansion of re in re 14.574 * [backup-simplify]: Simplify 0 into 0 14.574 * [backup-simplify]: Simplify 1 into 1 14.574 * [backup-simplify]: Simplify (* 1 1) into 1 14.575 * [backup-simplify]: Simplify (/ 1 1) into 1 14.575 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 14.575 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.575 * [taylor]: Taking taylor expansion of im in re 14.575 * [backup-simplify]: Simplify im into im 14.575 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.576 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 14.576 * [backup-simplify]: Simplify (+ 1 0) into 1 14.577 * [backup-simplify]: Simplify (sqrt 1) into 1 14.577 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.579 * [backup-simplify]: Simplify (+ 0 0) into 0 14.579 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.579 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 14.579 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 14.579 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 14.580 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.580 * [taylor]: Taking taylor expansion of re in re 14.580 * [backup-simplify]: Simplify 0 into 0 14.580 * [backup-simplify]: Simplify 1 into 1 14.580 * [backup-simplify]: Simplify (* 1 1) into 1 14.580 * [backup-simplify]: Simplify (/ 1 1) into 1 14.581 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 14.581 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.581 * [taylor]: Taking taylor expansion of im in re 14.581 * [backup-simplify]: Simplify im into im 14.581 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.581 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 14.582 * [backup-simplify]: Simplify (+ 1 0) into 1 14.582 * [backup-simplify]: Simplify (sqrt 1) into 1 14.583 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.584 * [backup-simplify]: Simplify (+ 0 0) into 0 14.585 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.585 * [taylor]: Taking taylor expansion of 1 in im 14.585 * [backup-simplify]: Simplify 1 into 1 14.585 * [taylor]: Taking taylor expansion of 0 in im 14.586 * [backup-simplify]: Simplify 0 into 0 14.586 * [backup-simplify]: Simplify 1 into 1 14.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.588 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 14.590 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 14.590 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 14.590 * [taylor]: Taking taylor expansion of 1/2 in im 14.590 * [backup-simplify]: Simplify 1/2 into 1/2 14.590 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.590 * [taylor]: Taking taylor expansion of im in im 14.590 * [backup-simplify]: Simplify 0 into 0 14.590 * [backup-simplify]: Simplify 1 into 1 14.591 * [backup-simplify]: Simplify (* 1 1) into 1 14.591 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.592 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 14.593 * [backup-simplify]: Simplify 0 into 0 14.593 * [backup-simplify]: Simplify 0 into 0 14.593 * [backup-simplify]: Simplify 0 into 0 14.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.596 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 14.597 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 14.598 * [backup-simplify]: Simplify (+ 0 0) into 0 14.599 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 14.599 * [taylor]: Taking taylor expansion of 0 in im 14.599 * [backup-simplify]: Simplify 0 into 0 14.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.601 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.601 * [backup-simplify]: Simplify 0 into 0 14.601 * [backup-simplify]: Simplify 0 into 0 14.601 * [backup-simplify]: Simplify 0 into 0 14.602 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 14.603 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 14.603 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 14.603 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 14.603 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 14.603 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 14.603 * [taylor]: Taking taylor expansion of (pow re 2) in im 14.603 * [taylor]: Taking taylor expansion of re in im 14.603 * [backup-simplify]: Simplify re into re 14.603 * [backup-simplify]: Simplify (* re re) into (pow re 2) 14.604 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 14.604 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 14.604 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.604 * [taylor]: Taking taylor expansion of im in im 14.604 * [backup-simplify]: Simplify 0 into 0 14.604 * [backup-simplify]: Simplify 1 into 1 14.604 * [backup-simplify]: Simplify (* 1 1) into 1 14.605 * [backup-simplify]: Simplify (/ 1 1) into 1 14.605 * [backup-simplify]: Simplify (+ 0 1) into 1 14.606 * [backup-simplify]: Simplify (sqrt 1) into 1 14.606 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.608 * [backup-simplify]: Simplify (+ 0 0) into 0 14.609 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.609 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 14.609 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 14.609 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 14.609 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.609 * [taylor]: Taking taylor expansion of re in re 14.609 * [backup-simplify]: Simplify 0 into 0 14.609 * [backup-simplify]: Simplify 1 into 1 14.609 * [backup-simplify]: Simplify (* 1 1) into 1 14.610 * [backup-simplify]: Simplify (/ 1 1) into 1 14.610 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 14.610 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.610 * [taylor]: Taking taylor expansion of im in re 14.610 * [backup-simplify]: Simplify im into im 14.610 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.610 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 14.611 * [backup-simplify]: Simplify (+ 1 0) into 1 14.611 * [backup-simplify]: Simplify (sqrt 1) into 1 14.612 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.613 * [backup-simplify]: Simplify (+ 0 0) into 0 14.614 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.614 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 14.614 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 14.614 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 14.614 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.614 * [taylor]: Taking taylor expansion of re in re 14.614 * [backup-simplify]: Simplify 0 into 0 14.614 * [backup-simplify]: Simplify 1 into 1 14.615 * [backup-simplify]: Simplify (* 1 1) into 1 14.615 * [backup-simplify]: Simplify (/ 1 1) into 1 14.615 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 14.615 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.615 * [taylor]: Taking taylor expansion of im in re 14.615 * [backup-simplify]: Simplify im into im 14.616 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.616 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 14.617 * [backup-simplify]: Simplify (+ 1 0) into 1 14.617 * [backup-simplify]: Simplify (sqrt 1) into 1 14.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.619 * [backup-simplify]: Simplify (+ 0 0) into 0 14.620 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.620 * [taylor]: Taking taylor expansion of 1 in im 14.620 * [backup-simplify]: Simplify 1 into 1 14.620 * [taylor]: Taking taylor expansion of 0 in im 14.620 * [backup-simplify]: Simplify 0 into 0 14.620 * [backup-simplify]: Simplify 1 into 1 14.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.623 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 14.625 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 14.625 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 14.625 * [taylor]: Taking taylor expansion of 1/2 in im 14.625 * [backup-simplify]: Simplify 1/2 into 1/2 14.625 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.625 * [taylor]: Taking taylor expansion of im in im 14.625 * [backup-simplify]: Simplify 0 into 0 14.625 * [backup-simplify]: Simplify 1 into 1 14.625 * [backup-simplify]: Simplify (* 1 1) into 1 14.626 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.628 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 14.628 * [backup-simplify]: Simplify 0 into 0 14.628 * [backup-simplify]: Simplify 0 into 0 14.628 * [backup-simplify]: Simplify 0 into 0 14.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.631 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 14.632 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 14.632 * [backup-simplify]: Simplify (+ 0 0) into 0 14.634 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 14.634 * [taylor]: Taking taylor expansion of 0 in im 14.634 * [backup-simplify]: Simplify 0 into 0 14.635 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.636 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.636 * [backup-simplify]: Simplify 0 into 0 14.636 * [backup-simplify]: Simplify 0 into 0 14.636 * [backup-simplify]: Simplify 0 into 0 14.637 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 14.637 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 14.639 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2)))) 14.639 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0 14.639 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 14.639 * [taylor]: Taking taylor expansion of re in im 14.639 * [backup-simplify]: Simplify re into re 14.639 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 14.639 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 14.639 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.639 * [taylor]: Taking taylor expansion of im in im 14.639 * [backup-simplify]: Simplify 0 into 0 14.639 * [backup-simplify]: Simplify 1 into 1 14.639 * [taylor]: Taking taylor expansion of (pow re 2) in im 14.639 * [taylor]: Taking taylor expansion of re in im 14.639 * [backup-simplify]: Simplify re into re 14.639 * [backup-simplify]: Simplify (* re re) into (pow re 2) 14.640 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 14.640 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 14.640 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 14.641 * [backup-simplify]: Simplify (+ 0 0) into 0 14.641 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 14.641 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 14.642 * [taylor]: Taking taylor expansion of re in re 14.642 * [backup-simplify]: Simplify 0 into 0 14.642 * [backup-simplify]: Simplify 1 into 1 14.642 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 14.642 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 14.642 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.642 * [taylor]: Taking taylor expansion of im in re 14.642 * [backup-simplify]: Simplify im into im 14.642 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.642 * [taylor]: Taking taylor expansion of re in re 14.642 * [backup-simplify]: Simplify 0 into 0 14.642 * [backup-simplify]: Simplify 1 into 1 14.642 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.643 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 14.643 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 14.643 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 14.644 * [backup-simplify]: Simplify (+ 0 0) into 0 14.644 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 14.644 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 14.644 * [taylor]: Taking taylor expansion of re in re 14.644 * [backup-simplify]: Simplify 0 into 0 14.644 * [backup-simplify]: Simplify 1 into 1 14.644 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 14.644 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 14.644 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.644 * [taylor]: Taking taylor expansion of im in re 14.644 * [backup-simplify]: Simplify im into im 14.645 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.645 * [taylor]: Taking taylor expansion of re in re 14.645 * [backup-simplify]: Simplify 0 into 0 14.645 * [backup-simplify]: Simplify 1 into 1 14.645 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.645 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 14.646 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 14.646 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 14.646 * [backup-simplify]: Simplify (+ 0 0) into 0 14.647 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 14.647 * [backup-simplify]: Simplify (+ 0 im) into im 14.647 * [taylor]: Taking taylor expansion of im in im 14.647 * [backup-simplify]: Simplify 0 into 0 14.647 * [backup-simplify]: Simplify 1 into 1 14.647 * [backup-simplify]: Simplify 0 into 0 14.648 * [backup-simplify]: Simplify (+ 1 0) into 1 14.648 * [taylor]: Taking taylor expansion of 1 in im 14.648 * [backup-simplify]: Simplify 1 into 1 14.648 * [backup-simplify]: Simplify 1 into 1 14.648 * [backup-simplify]: Simplify 1 into 1 14.649 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 14.649 * [backup-simplify]: Simplify (* 1 1) into 1 14.650 * [backup-simplify]: Simplify (+ 0 1) into 1 14.651 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 14.651 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 14.651 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 14.651 * [taylor]: Taking taylor expansion of 1/2 in im 14.651 * [backup-simplify]: Simplify 1/2 into 1/2 14.651 * [taylor]: Taking taylor expansion of (/ 1 im) in im 14.651 * [taylor]: Taking taylor expansion of im in im 14.651 * [backup-simplify]: Simplify 0 into 0 14.651 * [backup-simplify]: Simplify 1 into 1 14.651 * [backup-simplify]: Simplify (/ 1 1) into 1 14.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.655 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 14.655 * [backup-simplify]: Simplify 0 into 0 14.655 * [backup-simplify]: Simplify 0 into 0 14.655 * [backup-simplify]: Simplify 0 into 0 14.656 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 14.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.657 * [backup-simplify]: Simplify (+ 0 0) into 0 14.658 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 14.658 * [backup-simplify]: Simplify (+ 0 0) into 0 14.658 * [taylor]: Taking taylor expansion of 0 in im 14.658 * [backup-simplify]: Simplify 0 into 0 14.658 * [backup-simplify]: Simplify 0 into 0 14.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.660 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 14.660 * [backup-simplify]: Simplify 0 into 0 14.661 * [backup-simplify]: Simplify 0 into 0 14.661 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 14.664 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) 14.664 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 14.664 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 14.664 * [taylor]: Taking taylor expansion of (/ 1 re) in im 14.664 * [taylor]: Taking taylor expansion of re in im 14.664 * [backup-simplify]: Simplify re into re 14.664 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 14.664 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 14.664 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 14.664 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 14.664 * [taylor]: Taking taylor expansion of (pow re 2) in im 14.664 * [taylor]: Taking taylor expansion of re in im 14.664 * [backup-simplify]: Simplify re into re 14.664 * [backup-simplify]: Simplify (* re re) into (pow re 2) 14.665 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 14.665 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 14.665 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.665 * [taylor]: Taking taylor expansion of im in im 14.665 * [backup-simplify]: Simplify 0 into 0 14.665 * [backup-simplify]: Simplify 1 into 1 14.665 * [backup-simplify]: Simplify (* 1 1) into 1 14.666 * [backup-simplify]: Simplify (/ 1 1) into 1 14.666 * [backup-simplify]: Simplify (+ 0 1) into 1 14.667 * [backup-simplify]: Simplify (sqrt 1) into 1 14.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.669 * [backup-simplify]: Simplify (+ 0 0) into 0 14.669 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.669 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 14.669 * [taylor]: Taking taylor expansion of (/ 1 re) in re 14.669 * [taylor]: Taking taylor expansion of re in re 14.669 * [backup-simplify]: Simplify 0 into 0 14.670 * [backup-simplify]: Simplify 1 into 1 14.670 * [backup-simplify]: Simplify (/ 1 1) into 1 14.670 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 14.670 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 14.670 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 14.670 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.670 * [taylor]: Taking taylor expansion of re in re 14.670 * [backup-simplify]: Simplify 0 into 0 14.670 * [backup-simplify]: Simplify 1 into 1 14.671 * [backup-simplify]: Simplify (* 1 1) into 1 14.671 * [backup-simplify]: Simplify (/ 1 1) into 1 14.671 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 14.671 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.671 * [taylor]: Taking taylor expansion of im in re 14.671 * [backup-simplify]: Simplify im into im 14.671 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.672 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 14.672 * [backup-simplify]: Simplify (+ 1 0) into 1 14.673 * [backup-simplify]: Simplify (sqrt 1) into 1 14.673 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.674 * [backup-simplify]: Simplify (+ 0 0) into 0 14.675 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.675 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 14.675 * [taylor]: Taking taylor expansion of (/ 1 re) in re 14.675 * [taylor]: Taking taylor expansion of re in re 14.675 * [backup-simplify]: Simplify 0 into 0 14.675 * [backup-simplify]: Simplify 1 into 1 14.676 * [backup-simplify]: Simplify (/ 1 1) into 1 14.676 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 14.676 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 14.676 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 14.676 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.676 * [taylor]: Taking taylor expansion of re in re 14.676 * [backup-simplify]: Simplify 0 into 0 14.676 * [backup-simplify]: Simplify 1 into 1 14.676 * [backup-simplify]: Simplify (* 1 1) into 1 14.677 * [backup-simplify]: Simplify (/ 1 1) into 1 14.677 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 14.677 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.677 * [taylor]: Taking taylor expansion of im in re 14.677 * [backup-simplify]: Simplify im into im 14.677 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.677 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 14.678 * [backup-simplify]: Simplify (+ 1 0) into 1 14.678 * [backup-simplify]: Simplify (sqrt 1) into 1 14.679 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.680 * [backup-simplify]: Simplify (+ 0 0) into 0 14.681 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.681 * [backup-simplify]: Simplify (+ 1 1) into 2 14.681 * [taylor]: Taking taylor expansion of 2 in im 14.681 * [backup-simplify]: Simplify 2 into 2 14.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.682 * [backup-simplify]: Simplify (+ 0 0) into 0 14.682 * [taylor]: Taking taylor expansion of 0 in im 14.682 * [backup-simplify]: Simplify 0 into 0 14.682 * [backup-simplify]: Simplify 2 into 2 14.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.685 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 14.686 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 14.686 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 14.686 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 14.686 * [taylor]: Taking taylor expansion of 1/2 in im 14.686 * [backup-simplify]: Simplify 1/2 into 1/2 14.686 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 14.686 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.686 * [taylor]: Taking taylor expansion of im in im 14.686 * [backup-simplify]: Simplify 0 into 0 14.686 * [backup-simplify]: Simplify 1 into 1 14.686 * [backup-simplify]: Simplify (* 1 1) into 1 14.687 * [backup-simplify]: Simplify (/ 1 1) into 1 14.687 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.688 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 14.688 * [backup-simplify]: Simplify 0 into 0 14.688 * [backup-simplify]: Simplify 0 into 0 14.688 * [backup-simplify]: Simplify 0 into 0 14.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.690 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 14.691 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 14.691 * [backup-simplify]: Simplify (+ 0 0) into 0 14.692 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 14.692 * [backup-simplify]: Simplify (+ 0 0) into 0 14.692 * [taylor]: Taking taylor expansion of 0 in im 14.692 * [backup-simplify]: Simplify 0 into 0 14.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.694 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 14.694 * [backup-simplify]: Simplify 0 into 0 14.694 * [backup-simplify]: Simplify 0 into 0 14.694 * [backup-simplify]: Simplify 0 into 0 14.694 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 14.696 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) 14.696 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 14.696 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 14.696 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 14.696 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 14.696 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 14.696 * [taylor]: Taking taylor expansion of (pow re 2) in im 14.696 * [taylor]: Taking taylor expansion of re in im 14.696 * [backup-simplify]: Simplify re into re 14.696 * [backup-simplify]: Simplify (* re re) into (pow re 2) 14.696 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 14.696 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 14.696 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.697 * [taylor]: Taking taylor expansion of im in im 14.697 * [backup-simplify]: Simplify 0 into 0 14.697 * [backup-simplify]: Simplify 1 into 1 14.697 * [backup-simplify]: Simplify (* 1 1) into 1 14.697 * [backup-simplify]: Simplify (/ 1 1) into 1 14.697 * [backup-simplify]: Simplify (+ 0 1) into 1 14.698 * [backup-simplify]: Simplify (sqrt 1) into 1 14.698 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.699 * [backup-simplify]: Simplify (+ 0 0) into 0 14.699 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.699 * [taylor]: Taking taylor expansion of (/ 1 re) in im 14.699 * [taylor]: Taking taylor expansion of re in im 14.699 * [backup-simplify]: Simplify re into re 14.699 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 14.699 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 14.700 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 14.700 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 14.700 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 14.700 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.700 * [taylor]: Taking taylor expansion of re in re 14.700 * [backup-simplify]: Simplify 0 into 0 14.700 * [backup-simplify]: Simplify 1 into 1 14.700 * [backup-simplify]: Simplify (* 1 1) into 1 14.700 * [backup-simplify]: Simplify (/ 1 1) into 1 14.700 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 14.700 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.700 * [taylor]: Taking taylor expansion of im in re 14.700 * [backup-simplify]: Simplify im into im 14.700 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.701 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 14.701 * [backup-simplify]: Simplify (+ 1 0) into 1 14.701 * [backup-simplify]: Simplify (sqrt 1) into 1 14.702 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.703 * [backup-simplify]: Simplify (+ 0 0) into 0 14.703 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.703 * [taylor]: Taking taylor expansion of (/ 1 re) in re 14.703 * [taylor]: Taking taylor expansion of re in re 14.703 * [backup-simplify]: Simplify 0 into 0 14.703 * [backup-simplify]: Simplify 1 into 1 14.703 * [backup-simplify]: Simplify (/ 1 1) into 1 14.703 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 14.703 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 14.703 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 14.703 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 14.703 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.703 * [taylor]: Taking taylor expansion of re in re 14.704 * [backup-simplify]: Simplify 0 into 0 14.704 * [backup-simplify]: Simplify 1 into 1 14.704 * [backup-simplify]: Simplify (* 1 1) into 1 14.704 * [backup-simplify]: Simplify (/ 1 1) into 1 14.704 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 14.704 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.704 * [taylor]: Taking taylor expansion of im in re 14.704 * [backup-simplify]: Simplify im into im 14.704 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.705 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 14.705 * [backup-simplify]: Simplify (+ 1 0) into 1 14.705 * [backup-simplify]: Simplify (sqrt 1) into 1 14.705 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.706 * [backup-simplify]: Simplify (+ 0 0) into 0 14.707 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.707 * [taylor]: Taking taylor expansion of (/ 1 re) in re 14.707 * [taylor]: Taking taylor expansion of re in re 14.707 * [backup-simplify]: Simplify 0 into 0 14.707 * [backup-simplify]: Simplify 1 into 1 14.707 * [backup-simplify]: Simplify (/ 1 1) into 1 14.707 * [backup-simplify]: Simplify (- 1) into -1 14.708 * [backup-simplify]: Simplify (+ 1 -1) into 0 14.708 * [taylor]: Taking taylor expansion of 0 in im 14.708 * [backup-simplify]: Simplify 0 into 0 14.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.708 * [backup-simplify]: Simplify (- 0) into 0 14.709 * [backup-simplify]: Simplify (+ 0 0) into 0 14.709 * [taylor]: Taking taylor expansion of 0 in im 14.709 * [backup-simplify]: Simplify 0 into 0 14.709 * [backup-simplify]: Simplify 0 into 0 14.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.711 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 14.713 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 14.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.715 * [backup-simplify]: Simplify (- 0) into 0 14.715 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 14.715 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 14.715 * [taylor]: Taking taylor expansion of 1/2 in im 14.715 * [backup-simplify]: Simplify 1/2 into 1/2 14.716 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 14.716 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.716 * [taylor]: Taking taylor expansion of im in im 14.716 * [backup-simplify]: Simplify 0 into 0 14.716 * [backup-simplify]: Simplify 1 into 1 14.716 * [backup-simplify]: Simplify (* 1 1) into 1 14.716 * [backup-simplify]: Simplify (/ 1 1) into 1 14.717 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.719 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 14.719 * [backup-simplify]: Simplify 0 into 0 14.719 * [backup-simplify]: Simplify 0 into 0 14.719 * [backup-simplify]: Simplify 0 into 0 14.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.722 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 14.723 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 14.723 * [backup-simplify]: Simplify (+ 0 0) into 0 14.725 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 14.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.726 * [backup-simplify]: Simplify (- 0) into 0 14.726 * [backup-simplify]: Simplify (+ 0 0) into 0 14.726 * [taylor]: Taking taylor expansion of 0 in im 14.726 * [backup-simplify]: Simplify 0 into 0 14.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.728 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 14.728 * [backup-simplify]: Simplify 0 into 0 14.728 * [backup-simplify]: Simplify 0 into 0 14.728 * [backup-simplify]: Simplify 0 into 0 14.728 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1) 14.729 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow im 2) (pow re 2))) 14.729 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 14.729 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 14.729 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 14.729 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.729 * [taylor]: Taking taylor expansion of im in im 14.729 * [backup-simplify]: Simplify 0 into 0 14.729 * [backup-simplify]: Simplify 1 into 1 14.729 * [taylor]: Taking taylor expansion of (pow re 2) in im 14.729 * [taylor]: Taking taylor expansion of re in im 14.729 * [backup-simplify]: Simplify re into re 14.729 * [backup-simplify]: Simplify (* re re) into (pow re 2) 14.730 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 14.730 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 14.730 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 14.730 * [backup-simplify]: Simplify (+ 0 0) into 0 14.731 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 14.731 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 14.731 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 14.731 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.731 * [taylor]: Taking taylor expansion of im in re 14.731 * [backup-simplify]: Simplify im into im 14.731 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.731 * [taylor]: Taking taylor expansion of re in re 14.731 * [backup-simplify]: Simplify 0 into 0 14.731 * [backup-simplify]: Simplify 1 into 1 14.731 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.731 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 14.731 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 14.731 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 14.732 * [backup-simplify]: Simplify (+ 0 0) into 0 14.732 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 14.732 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 14.732 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 14.732 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.732 * [taylor]: Taking taylor expansion of im in re 14.732 * [backup-simplify]: Simplify im into im 14.732 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.732 * [taylor]: Taking taylor expansion of re in re 14.732 * [backup-simplify]: Simplify 0 into 0 14.732 * [backup-simplify]: Simplify 1 into 1 14.732 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.733 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 14.733 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 14.733 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 14.733 * [backup-simplify]: Simplify (+ 0 0) into 0 14.733 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 14.733 * [taylor]: Taking taylor expansion of im in im 14.734 * [backup-simplify]: Simplify 0 into 0 14.734 * [backup-simplify]: Simplify 1 into 1 14.734 * [backup-simplify]: Simplify 0 into 0 14.734 * [taylor]: Taking taylor expansion of 0 in im 14.734 * [backup-simplify]: Simplify 0 into 0 14.734 * [backup-simplify]: Simplify 0 into 0 14.734 * [backup-simplify]: Simplify 1 into 1 14.734 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 14.735 * [backup-simplify]: Simplify (* 1 1) into 1 14.735 * [backup-simplify]: Simplify (+ 0 1) into 1 14.735 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 14.735 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 14.735 * [taylor]: Taking taylor expansion of 1/2 in im 14.735 * [backup-simplify]: Simplify 1/2 into 1/2 14.735 * [taylor]: Taking taylor expansion of im in im 14.736 * [backup-simplify]: Simplify 0 into 0 14.736 * [backup-simplify]: Simplify 1 into 1 14.736 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.736 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 14.736 * [backup-simplify]: Simplify 0 into 0 14.736 * [backup-simplify]: Simplify 0 into 0 14.737 * [backup-simplify]: Simplify 0 into 0 14.737 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 14.738 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.738 * [backup-simplify]: Simplify (+ 0 0) into 0 14.738 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 14.738 * [taylor]: Taking taylor expansion of 0 in im 14.738 * [backup-simplify]: Simplify 0 into 0 14.738 * [backup-simplify]: Simplify 0 into 0 14.739 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.739 * [backup-simplify]: Simplify 0 into 0 14.739 * [backup-simplify]: Simplify 0 into 0 14.739 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 14.740 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 14.740 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 14.740 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 14.740 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 14.740 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 14.740 * [taylor]: Taking taylor expansion of (pow re 2) in im 14.740 * [taylor]: Taking taylor expansion of re in im 14.740 * [backup-simplify]: Simplify re into re 14.740 * [backup-simplify]: Simplify (* re re) into (pow re 2) 14.741 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 14.741 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 14.741 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.741 * [taylor]: Taking taylor expansion of im in im 14.741 * [backup-simplify]: Simplify 0 into 0 14.741 * [backup-simplify]: Simplify 1 into 1 14.741 * [backup-simplify]: Simplify (* 1 1) into 1 14.741 * [backup-simplify]: Simplify (/ 1 1) into 1 14.742 * [backup-simplify]: Simplify (+ 0 1) into 1 14.742 * [backup-simplify]: Simplify (sqrt 1) into 1 14.742 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.743 * [backup-simplify]: Simplify (+ 0 0) into 0 14.743 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.744 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 14.744 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 14.744 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 14.744 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.744 * [taylor]: Taking taylor expansion of re in re 14.744 * [backup-simplify]: Simplify 0 into 0 14.744 * [backup-simplify]: Simplify 1 into 1 14.744 * [backup-simplify]: Simplify (* 1 1) into 1 14.744 * [backup-simplify]: Simplify (/ 1 1) into 1 14.744 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 14.744 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.744 * [taylor]: Taking taylor expansion of im in re 14.744 * [backup-simplify]: Simplify im into im 14.744 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.745 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 14.745 * [backup-simplify]: Simplify (+ 1 0) into 1 14.745 * [backup-simplify]: Simplify (sqrt 1) into 1 14.746 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.746 * [backup-simplify]: Simplify (+ 0 0) into 0 14.747 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.747 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 14.747 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 14.747 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 14.747 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.747 * [taylor]: Taking taylor expansion of re in re 14.747 * [backup-simplify]: Simplify 0 into 0 14.747 * [backup-simplify]: Simplify 1 into 1 14.747 * [backup-simplify]: Simplify (* 1 1) into 1 14.748 * [backup-simplify]: Simplify (/ 1 1) into 1 14.748 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 14.748 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.748 * [taylor]: Taking taylor expansion of im in re 14.748 * [backup-simplify]: Simplify im into im 14.748 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.748 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 14.748 * [backup-simplify]: Simplify (+ 1 0) into 1 14.749 * [backup-simplify]: Simplify (sqrt 1) into 1 14.749 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.750 * [backup-simplify]: Simplify (+ 0 0) into 0 14.750 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.750 * [taylor]: Taking taylor expansion of 1 in im 14.750 * [backup-simplify]: Simplify 1 into 1 14.750 * [taylor]: Taking taylor expansion of 0 in im 14.750 * [backup-simplify]: Simplify 0 into 0 14.750 * [backup-simplify]: Simplify 1 into 1 14.751 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.752 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 14.753 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 14.753 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 14.753 * [taylor]: Taking taylor expansion of 1/2 in im 14.753 * [backup-simplify]: Simplify 1/2 into 1/2 14.753 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.753 * [taylor]: Taking taylor expansion of im in im 14.753 * [backup-simplify]: Simplify 0 into 0 14.753 * [backup-simplify]: Simplify 1 into 1 14.754 * [backup-simplify]: Simplify (* 1 1) into 1 14.754 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.755 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.756 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 14.756 * [backup-simplify]: Simplify 0 into 0 14.756 * [backup-simplify]: Simplify 0 into 0 14.756 * [backup-simplify]: Simplify 0 into 0 14.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.759 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 14.760 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 14.760 * [backup-simplify]: Simplify (+ 0 0) into 0 14.762 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 14.762 * [taylor]: Taking taylor expansion of 0 in im 14.762 * [backup-simplify]: Simplify 0 into 0 14.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.764 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.764 * [backup-simplify]: Simplify 0 into 0 14.764 * [backup-simplify]: Simplify 0 into 0 14.764 * [backup-simplify]: Simplify 0 into 0 14.764 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 14.767 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 14.767 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 14.767 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 14.767 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 14.767 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 14.767 * [taylor]: Taking taylor expansion of (pow re 2) in im 14.767 * [taylor]: Taking taylor expansion of re in im 14.767 * [backup-simplify]: Simplify re into re 14.767 * [backup-simplify]: Simplify (* re re) into (pow re 2) 14.768 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 14.768 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 14.768 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.768 * [taylor]: Taking taylor expansion of im in im 14.768 * [backup-simplify]: Simplify 0 into 0 14.768 * [backup-simplify]: Simplify 1 into 1 14.769 * [backup-simplify]: Simplify (* 1 1) into 1 14.769 * [backup-simplify]: Simplify (/ 1 1) into 1 14.769 * [backup-simplify]: Simplify (+ 0 1) into 1 14.770 * [backup-simplify]: Simplify (sqrt 1) into 1 14.771 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.772 * [backup-simplify]: Simplify (+ 0 0) into 0 14.773 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.773 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 14.773 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 14.773 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 14.773 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.773 * [taylor]: Taking taylor expansion of re in re 14.773 * [backup-simplify]: Simplify 0 into 0 14.773 * [backup-simplify]: Simplify 1 into 1 14.773 * [backup-simplify]: Simplify (* 1 1) into 1 14.774 * [backup-simplify]: Simplify (/ 1 1) into 1 14.774 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 14.774 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.774 * [taylor]: Taking taylor expansion of im in re 14.774 * [backup-simplify]: Simplify im into im 14.774 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.775 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 14.775 * [backup-simplify]: Simplify (+ 1 0) into 1 14.775 * [backup-simplify]: Simplify (sqrt 1) into 1 14.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.778 * [backup-simplify]: Simplify (+ 0 0) into 0 14.778 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.778 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 14.778 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 14.778 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 14.778 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.778 * [taylor]: Taking taylor expansion of re in re 14.778 * [backup-simplify]: Simplify 0 into 0 14.779 * [backup-simplify]: Simplify 1 into 1 14.779 * [backup-simplify]: Simplify (* 1 1) into 1 14.779 * [backup-simplify]: Simplify (/ 1 1) into 1 14.779 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 14.779 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.779 * [taylor]: Taking taylor expansion of im in re 14.780 * [backup-simplify]: Simplify im into im 14.780 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.780 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 14.781 * [backup-simplify]: Simplify (+ 1 0) into 1 14.781 * [backup-simplify]: Simplify (sqrt 1) into 1 14.782 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.783 * [backup-simplify]: Simplify (+ 0 0) into 0 14.786 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.786 * [taylor]: Taking taylor expansion of 1 in im 14.786 * [backup-simplify]: Simplify 1 into 1 14.786 * [taylor]: Taking taylor expansion of 0 in im 14.786 * [backup-simplify]: Simplify 0 into 0 14.786 * [backup-simplify]: Simplify 1 into 1 14.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.789 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 14.791 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 14.791 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 14.791 * [taylor]: Taking taylor expansion of 1/2 in im 14.791 * [backup-simplify]: Simplify 1/2 into 1/2 14.791 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.791 * [taylor]: Taking taylor expansion of im in im 14.791 * [backup-simplify]: Simplify 0 into 0 14.791 * [backup-simplify]: Simplify 1 into 1 14.792 * [backup-simplify]: Simplify (* 1 1) into 1 14.792 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.793 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 14.794 * [backup-simplify]: Simplify 0 into 0 14.794 * [backup-simplify]: Simplify 0 into 0 14.794 * [backup-simplify]: Simplify 0 into 0 14.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.795 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 14.796 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 14.796 * [backup-simplify]: Simplify (+ 0 0) into 0 14.797 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 14.797 * [taylor]: Taking taylor expansion of 0 in im 14.797 * [backup-simplify]: Simplify 0 into 0 14.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.798 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.798 * [backup-simplify]: Simplify 0 into 0 14.798 * [backup-simplify]: Simplify 0 into 0 14.798 * [backup-simplify]: Simplify 0 into 0 14.798 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 14.798 * * * [progress]: simplifying candidates 14.799 * * * * [progress]: [ 1 / 140 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))) re)))))> 14.799 * * * * [progress]: [ 2 / 140 ] simplifiying candidate # 14.799 * * * * [progress]: [ 3 / 140 ] simplifiying candidate # 14.799 * * * * [progress]: [ 4 / 140 ] simplifiying candidate # 14.799 * * * * [progress]: [ 5 / 140 ] simplifiying candidate # 14.799 * * * * [progress]: [ 6 / 140 ] simplifiying candidate # 14.799 * * * * [progress]: [ 7 / 140 ] simplifiying candidate # 14.799 * * * * [progress]: [ 8 / 140 ] simplifiying candidate # 14.799 * * * * [progress]: [ 9 / 140 ] simplifiying candidate # 14.799 * * * * [progress]: [ 10 / 140 ] simplifiying candidate # 14.799 * * * * [progress]: [ 11 / 140 ] simplifiying candidate # 14.799 * * * * [progress]: [ 12 / 140 ] simplifiying candidate # 14.799 * * * * [progress]: [ 13 / 140 ] simplifiying candidate # 14.799 * * * * [progress]: [ 14 / 140 ] simplifiying candidate # 14.799 * * * * [progress]: [ 15 / 140 ] simplifiying candidate # 14.799 * * * * [progress]: [ 16 / 140 ] simplifiying candidate # 14.799 * * * * [progress]: [ 17 / 140 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> 14.799 * * * * [progress]: [ 18 / 140 ] simplifiying candidate # 14.799 * * * * [progress]: [ 19 / 140 ] simplifiying candidate # 14.799 * * * * [progress]: [ 20 / 140 ] simplifiying candidate # 14.799 * * * * [progress]: [ 21 / 140 ] simplifiying candidate # 14.800 * * * * [progress]: [ 22 / 140 ] simplifiying candidate # 14.800 * * * * [progress]: [ 23 / 140 ] simplifiying candidate # 14.800 * * * * [progress]: [ 24 / 140 ] simplifiying candidate # 14.800 * * * * [progress]: [ 25 / 140 ] simplifiying candidate # 14.800 * * * * [progress]: [ 26 / 140 ] simplifiying candidate # 14.800 * * * * [progress]: [ 27 / 140 ] simplifiying candidate # 14.800 * * * * [progress]: [ 28 / 140 ] simplifiying candidate # 14.800 * * * * [progress]: [ 29 / 140 ] simplifiying candidate # 14.800 * * * * [progress]: [ 30 / 140 ] simplifiying candidate # 14.800 * * * * [progress]: [ 31 / 140 ] simplifiying candidate # 14.800 * * * * [progress]: [ 32 / 140 ] simplifiying candidate # 14.800 * * * * [progress]: [ 33 / 140 ] simplifiying candidate #real (real->posit16 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> 14.800 * * * * [progress]: [ 34 / 140 ] simplifiying candidate # 14.800 * * * * [progress]: [ 35 / 140 ] simplifiying candidate # 14.800 * * * * [progress]: [ 36 / 140 ] simplifiying candidate # 14.800 * * * * [progress]: [ 37 / 140 ] simplifiying candidate # 14.800 * * * * [progress]: [ 38 / 140 ] simplifiying candidate # 14.800 * * * * [progress]: [ 39 / 140 ] simplifiying candidate # 14.800 * * * * [progress]: [ 40 / 140 ] simplifiying candidate # 14.800 * * * * [progress]: [ 41 / 140 ] simplifiying candidate # 14.800 * * * * [progress]: [ 42 / 140 ] simplifiying candidate # 14.800 * * * * [progress]: [ 43 / 140 ] simplifiying candidate # 14.800 * * * * [progress]: [ 44 / 140 ] simplifiying candidate # 14.801 * * * * [progress]: [ 45 / 140 ] simplifiying candidate #real (real->posit16 (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))> 14.801 * * * * [progress]: [ 46 / 140 ] simplifiying candidate # 14.801 * * * * [progress]: [ 47 / 140 ] simplifiying candidate # 14.801 * * * * [progress]: [ 48 / 140 ] simplifiying candidate # 14.801 * * * * [progress]: [ 49 / 140 ] simplifiying candidate # 14.801 * * * * [progress]: [ 50 / 140 ] simplifiying candidate # 14.801 * * * * [progress]: [ 51 / 140 ] simplifiying candidate # 14.801 * * * * [progress]: [ 52 / 140 ] simplifiying candidate # 14.801 * * * * [progress]: [ 53 / 140 ] simplifiying candidate # 14.801 * * * * [progress]: [ 54 / 140 ] simplifiying candidate # 14.801 * * * * [progress]: [ 55 / 140 ] simplifiying candidate # 14.801 * * * * [progress]: [ 56 / 140 ] simplifiying candidate # 14.801 * * * * [progress]: [ 57 / 140 ] simplifiying candidate # 14.801 * * * * [progress]: [ 58 / 140 ] simplifiying candidate # 14.801 * * * * [progress]: [ 59 / 140 ] simplifiying candidate # 14.801 * * * * [progress]: [ 60 / 140 ] simplifiying candidate # 14.801 * * * * [progress]: [ 61 / 140 ] simplifiying candidate # 14.801 * * * * [progress]: [ 62 / 140 ] simplifiying candidate # 14.801 * * * * [progress]: [ 63 / 140 ] simplifiying candidate # 14.801 * * * * [progress]: [ 64 / 140 ] simplifiying candidate # 14.801 * * * * [progress]: [ 65 / 140 ] simplifiying candidate # 14.801 * * * * [progress]: [ 66 / 140 ] simplifiying candidate # 14.801 * * * * [progress]: [ 67 / 140 ] simplifiying candidate # 14.802 * * * * [progress]: [ 68 / 140 ] simplifiying candidate # 14.802 * * * * [progress]: [ 69 / 140 ] simplifiying candidate # 14.802 * * * * [progress]: [ 70 / 140 ] simplifiying candidate # 14.802 * * * * [progress]: [ 71 / 140 ] simplifiying candidate # 14.802 * * * * [progress]: [ 72 / 140 ] simplifiying candidate # 14.802 * * * * [progress]: [ 73 / 140 ] simplifiying candidate # 14.802 * * * * [progress]: [ 74 / 140 ] simplifiying candidate # 14.802 * * * * [progress]: [ 75 / 140 ] simplifiying candidate # 14.802 * * * * [progress]: [ 76 / 140 ] simplifiying candidate # 14.802 * * * * [progress]: [ 77 / 140 ] simplifiying candidate # 14.802 * * * * [progress]: [ 78 / 140 ] simplifiying candidate # 14.802 * * * * [progress]: [ 79 / 140 ] simplifiying candidate # 14.802 * * * * [progress]: [ 80 / 140 ] simplifiying candidate # 14.802 * * * * [progress]: [ 81 / 140 ] simplifiying candidate # 14.802 * * * * [progress]: [ 82 / 140 ] simplifiying candidate # 14.802 * * * * [progress]: [ 83 / 140 ] simplifiying candidate # 14.802 * * * * [progress]: [ 84 / 140 ] simplifiying candidate # 14.802 * * * * [progress]: [ 85 / 140 ] simplifiying candidate # 14.802 * * * * [progress]: [ 86 / 140 ] simplifiying candidate # 14.802 * * * * [progress]: [ 87 / 140 ] simplifiying candidate # 14.802 * * * * [progress]: [ 88 / 140 ] simplifiying candidate # 14.803 * * * * [progress]: [ 89 / 140 ] simplifiying candidate # 14.803 * * * * [progress]: [ 90 / 140 ] simplifiying candidate # 14.803 * * * * [progress]: [ 91 / 140 ] simplifiying candidate # 14.803 * * * * [progress]: [ 92 / 140 ] simplifiying candidate # 14.803 * * * * [progress]: [ 93 / 140 ] simplifiying candidate # 14.803 * * * * [progress]: [ 94 / 140 ] simplifiying candidate # 14.803 * * * * [progress]: [ 95 / 140 ] simplifiying candidate # 14.803 * * * * [progress]: [ 96 / 140 ] simplifiying candidate # 14.803 * * * * [progress]: [ 97 / 140 ] simplifiying candidate # 14.803 * * * * [progress]: [ 98 / 140 ] simplifiying candidate # 14.803 * * * * [progress]: [ 99 / 140 ] simplifiying candidate # 14.803 * * * * [progress]: [ 100 / 140 ] simplifiying candidate # 14.803 * * * * [progress]: [ 101 / 140 ] simplifiying candidate # 14.803 * * * * [progress]: [ 102 / 140 ] simplifiying candidate # 14.803 * * * * 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[progress]: [ 118 / 140 ] simplifiying candidate # 14.804 * * * * [progress]: [ 119 / 140 ] simplifiying candidate # 14.804 * * * * [progress]: [ 120 / 140 ] simplifiying candidate # 14.804 * * * * [progress]: [ 121 / 140 ] simplifiying candidate # 14.804 * * * * [progress]: [ 122 / 140 ] simplifiying candidate # 14.804 * * * * [progress]: [ 123 / 140 ] simplifiying candidate # 14.804 * * * * [progress]: [ 124 / 140 ] simplifiying candidate # 14.804 * * * * [progress]: [ 125 / 140 ] simplifiying candidate # 14.804 * * * * [progress]: [ 126 / 140 ] simplifiying candidate # 14.804 * * * * [progress]: [ 127 / 140 ] simplifiying candidate # 14.804 * * * * [progress]: [ 128 / 140 ] simplifiying candidate # 14.804 * * * * [progress]: [ 129 / 140 ] simplifiying candidate # 14.804 * * * * [progress]: [ 130 / 140 ] simplifiying candidate # 14.804 * * * * [progress]: [ 131 / 140 ] simplifiying candidate # 14.804 * * * * [progress]: [ 132 / 140 ] simplifiying candidate # 14.805 * * * * [progress]: [ 133 / 140 ] simplifiying candidate # 14.805 * * * * [progress]: [ 134 / 140 ] simplifiying candidate # 14.805 * * * * [progress]: [ 135 / 140 ] simplifiying candidate # 14.805 * * * * [progress]: [ 136 / 140 ] simplifiying candidate # 14.805 * * * * [progress]: [ 137 / 140 ] simplifiying candidate # 14.805 * * * * [progress]: [ 138 / 140 ] simplifiying candidate # 14.805 * * * * [progress]: [ 139 / 140 ] simplifiying candidate # 14.805 * * * * [progress]: [ 140 / 140 ] simplifiying candidate # 14.806 * [simplify]: Simplifying: (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)))) 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3937 18.546 * * [simplify]: Extracting #3: cost 1430 inf + 29719 18.590 * * [simplify]: Extracting #4: cost 923 inf + 187947 18.720 * * [simplify]: Extracting #5: cost 130 inf + 449795 18.899 * * [simplify]: Extracting #6: cost 39 inf + 488161 19.033 * * [simplify]: Extracting #7: cost 13 inf + 490461 19.193 * * [simplify]: Extracting #8: cost 0 inf + 494070 19.323 * [simplify]: Simplified to: (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 (+ (* (* im im) (* im im)) 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im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 2 1/2 1 1/2 (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (+ (* re re) (* im im))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (+ (* re re) (* im im))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (+ (* re re) (* im im))) (* (sqrt (sqrt (+ (* (* (* im im) (* im im)) (* im im)) (* (* (* re re) re) (* (* re re) re))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (* (sqrt (sqrt (+ (* (* (* im im) (* im im)) (* im im)) (* (* (* re re) re) (* (* re re) re))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) im re (- re) im re (- re) (+ re im) (+ re re) 0 im re (- re) 19.340 * * * [progress]: adding candidates to table 20.532 * * [progress]: iteration 4 / 4 20.532 * * * [progress]: picking best candidate 20.643 * * * * [pick]: Picked # 20.643 * * * [progress]: localizing error 20.924 * * * [progress]: generating rewritten candidates 20.924 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1 1 2 1) 20.947 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2 1 1 1 1) 20.981 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 2 1 1 2 1) 21.003 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 2 1 1 1 1) 21.017 * * * [progress]: generating series expansions 21.017 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1 1 2 1) 21.018 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 21.018 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 21.018 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 21.018 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 21.018 * [taylor]: Taking taylor expansion of (pow im 2) in im 21.018 * [taylor]: Taking taylor expansion of im in im 21.018 * [backup-simplify]: Simplify 0 into 0 21.018 * [backup-simplify]: Simplify 1 into 1 21.018 * [taylor]: Taking taylor expansion of (pow re 2) in im 21.018 * [taylor]: Taking taylor expansion of re in im 21.018 * [backup-simplify]: Simplify re into re 21.018 * [backup-simplify]: Simplify (* re re) into (pow re 2) 21.018 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 21.018 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 21.019 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 21.019 * [backup-simplify]: Simplify (+ 0 0) into 0 21.019 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 21.019 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 21.019 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 21.019 * [taylor]: Taking taylor expansion of (pow im 2) in re 21.019 * [taylor]: Taking taylor expansion of im in re 21.020 * [backup-simplify]: Simplify im into im 21.020 * [taylor]: Taking taylor expansion of (pow re 2) in re 21.020 * [taylor]: Taking taylor expansion of re in re 21.020 * [backup-simplify]: Simplify 0 into 0 21.020 * [backup-simplify]: Simplify 1 into 1 21.020 * [backup-simplify]: Simplify (* im im) into (pow im 2) 21.020 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 21.020 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 21.020 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 21.021 * [backup-simplify]: Simplify (+ 0 0) into 0 21.021 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 21.021 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 21.021 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 21.021 * [taylor]: Taking taylor expansion of (pow im 2) in re 21.021 * [taylor]: Taking taylor expansion of im in re 21.021 * [backup-simplify]: Simplify im into im 21.021 * [taylor]: Taking taylor expansion of (pow re 2) in re 21.021 * [taylor]: Taking taylor expansion of re in re 21.021 * [backup-simplify]: Simplify 0 into 0 21.021 * [backup-simplify]: Simplify 1 into 1 21.021 * [backup-simplify]: Simplify (* im im) into (pow im 2) 21.021 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 21.022 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 21.022 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 21.022 * [backup-simplify]: Simplify (+ 0 0) into 0 21.022 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 21.022 * [taylor]: Taking taylor expansion of im in im 21.022 * [backup-simplify]: Simplify 0 into 0 21.022 * [backup-simplify]: Simplify 1 into 1 21.022 * [backup-simplify]: Simplify 0 into 0 21.022 * [taylor]: Taking taylor expansion of 0 in im 21.022 * [backup-simplify]: Simplify 0 into 0 21.022 * [backup-simplify]: Simplify 0 into 0 21.023 * [backup-simplify]: Simplify 1 into 1 21.023 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 21.023 * [backup-simplify]: Simplify (* 1 1) into 1 21.023 * [backup-simplify]: Simplify (+ 0 1) into 1 21.024 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 21.024 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 21.024 * [taylor]: Taking taylor expansion of 1/2 in im 21.024 * [backup-simplify]: Simplify 1/2 into 1/2 21.024 * [taylor]: Taking taylor expansion of im in im 21.024 * [backup-simplify]: Simplify 0 into 0 21.024 * [backup-simplify]: Simplify 1 into 1 21.025 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 21.025 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 21.025 * [backup-simplify]: Simplify 0 into 0 21.025 * [backup-simplify]: Simplify 0 into 0 21.025 * [backup-simplify]: Simplify 0 into 0 21.026 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 21.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.027 * [backup-simplify]: Simplify (+ 0 0) into 0 21.027 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 21.027 * [taylor]: Taking taylor expansion of 0 in im 21.027 * [backup-simplify]: Simplify 0 into 0 21.027 * [backup-simplify]: Simplify 0 into 0 21.028 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.028 * [backup-simplify]: Simplify 0 into 0 21.028 * [backup-simplify]: Simplify 0 into 0 21.028 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 21.028 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 21.028 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 21.028 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 21.028 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 21.028 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 21.028 * [taylor]: Taking taylor expansion of (pow re 2) in im 21.028 * [taylor]: Taking taylor expansion of re in im 21.028 * [backup-simplify]: Simplify re into re 21.028 * [backup-simplify]: Simplify (* re re) into (pow re 2) 21.029 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 21.029 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 21.029 * [taylor]: Taking taylor expansion of (pow im 2) in im 21.029 * [taylor]: Taking taylor expansion of im in im 21.029 * [backup-simplify]: Simplify 0 into 0 21.029 * [backup-simplify]: Simplify 1 into 1 21.029 * [backup-simplify]: Simplify (* 1 1) into 1 21.029 * [backup-simplify]: Simplify (/ 1 1) into 1 21.030 * [backup-simplify]: Simplify (+ 0 1) into 1 21.030 * [backup-simplify]: Simplify (sqrt 1) into 1 21.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.031 * [backup-simplify]: Simplify (+ 0 0) into 0 21.032 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.032 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 21.032 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 21.032 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 21.032 * [taylor]: Taking taylor expansion of (pow re 2) in re 21.032 * [taylor]: Taking taylor expansion of re in re 21.032 * [backup-simplify]: Simplify 0 into 0 21.032 * [backup-simplify]: Simplify 1 into 1 21.032 * [backup-simplify]: Simplify (* 1 1) into 1 21.033 * [backup-simplify]: Simplify (/ 1 1) into 1 21.033 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 21.033 * [taylor]: Taking taylor expansion of (pow im 2) in re 21.033 * [taylor]: Taking taylor expansion of im in re 21.033 * [backup-simplify]: Simplify im into im 21.033 * [backup-simplify]: Simplify (* im im) into (pow im 2) 21.033 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 21.033 * [backup-simplify]: Simplify (+ 1 0) into 1 21.034 * [backup-simplify]: Simplify (sqrt 1) into 1 21.035 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.036 * [backup-simplify]: Simplify (+ 0 0) into 0 21.037 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.037 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 21.037 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 21.037 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 21.037 * [taylor]: Taking taylor expansion of (pow re 2) in re 21.037 * [taylor]: Taking taylor expansion of re in re 21.037 * [backup-simplify]: Simplify 0 into 0 21.037 * [backup-simplify]: Simplify 1 into 1 21.037 * [backup-simplify]: Simplify (* 1 1) into 1 21.037 * [backup-simplify]: Simplify (/ 1 1) into 1 21.037 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 21.037 * [taylor]: Taking taylor expansion of (pow im 2) in re 21.037 * [taylor]: Taking taylor expansion of im in re 21.037 * [backup-simplify]: Simplify im into im 21.037 * [backup-simplify]: Simplify (* im im) into (pow im 2) 21.038 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 21.038 * [backup-simplify]: Simplify (+ 1 0) into 1 21.038 * [backup-simplify]: Simplify (sqrt 1) into 1 21.039 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.039 * [backup-simplify]: Simplify (+ 0 0) into 0 21.040 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.040 * [taylor]: Taking taylor expansion of 1 in im 21.040 * [backup-simplify]: Simplify 1 into 1 21.040 * [taylor]: Taking taylor expansion of 0 in im 21.040 * [backup-simplify]: Simplify 0 into 0 21.040 * [backup-simplify]: Simplify 1 into 1 21.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.042 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 21.044 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 21.044 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 21.044 * [taylor]: Taking taylor expansion of 1/2 in im 21.044 * [backup-simplify]: Simplify 1/2 into 1/2 21.044 * [taylor]: Taking taylor expansion of (pow im 2) in im 21.044 * [taylor]: Taking taylor expansion of im in im 21.044 * [backup-simplify]: Simplify 0 into 0 21.044 * [backup-simplify]: Simplify 1 into 1 21.045 * [backup-simplify]: Simplify (* 1 1) into 1 21.045 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 21.046 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.047 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 21.047 * [backup-simplify]: Simplify 0 into 0 21.047 * [backup-simplify]: Simplify 0 into 0 21.047 * [backup-simplify]: Simplify 0 into 0 21.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.050 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 21.051 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 21.051 * [backup-simplify]: Simplify (+ 0 0) into 0 21.053 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 21.053 * [taylor]: Taking taylor expansion of 0 in im 21.053 * [backup-simplify]: Simplify 0 into 0 21.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.055 * [backup-simplify]: Simplify 0 into 0 21.055 * [backup-simplify]: Simplify 0 into 0 21.055 * [backup-simplify]: Simplify 0 into 0 21.055 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 21.056 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 21.056 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 21.056 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 21.056 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 21.057 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 21.057 * [taylor]: Taking taylor expansion of (pow re 2) in im 21.057 * [taylor]: Taking taylor expansion of re in im 21.057 * [backup-simplify]: Simplify re into re 21.057 * [backup-simplify]: Simplify (* re re) into (pow re 2) 21.057 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 21.057 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 21.057 * [taylor]: Taking taylor expansion of (pow im 2) in im 21.057 * [taylor]: Taking taylor expansion of im in im 21.057 * [backup-simplify]: Simplify 0 into 0 21.057 * [backup-simplify]: Simplify 1 into 1 21.058 * [backup-simplify]: Simplify (* 1 1) into 1 21.058 * [backup-simplify]: Simplify (/ 1 1) into 1 21.059 * [backup-simplify]: Simplify (+ 0 1) into 1 21.059 * [backup-simplify]: Simplify (sqrt 1) into 1 21.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.061 * [backup-simplify]: Simplify (+ 0 0) into 0 21.062 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.062 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 21.062 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 21.062 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 21.062 * [taylor]: Taking taylor expansion of (pow re 2) in re 21.062 * [taylor]: Taking taylor expansion of re in re 21.062 * [backup-simplify]: Simplify 0 into 0 21.062 * [backup-simplify]: Simplify 1 into 1 21.063 * [backup-simplify]: Simplify (* 1 1) into 1 21.063 * [backup-simplify]: Simplify (/ 1 1) into 1 21.063 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 21.063 * [taylor]: Taking taylor expansion of (pow im 2) in re 21.063 * [taylor]: Taking taylor expansion of im in re 21.063 * [backup-simplify]: Simplify im into im 21.063 * [backup-simplify]: Simplify (* im im) into (pow im 2) 21.064 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 21.064 * [backup-simplify]: Simplify (+ 1 0) into 1 21.065 * [backup-simplify]: Simplify (sqrt 1) into 1 21.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.067 * [backup-simplify]: Simplify (+ 0 0) into 0 21.068 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.068 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 21.068 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 21.068 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 21.068 * [taylor]: Taking taylor expansion of (pow re 2) in re 21.068 * [taylor]: Taking taylor expansion of re in re 21.068 * [backup-simplify]: Simplify 0 into 0 21.068 * [backup-simplify]: Simplify 1 into 1 21.068 * [backup-simplify]: Simplify (* 1 1) into 1 21.069 * [backup-simplify]: Simplify (/ 1 1) into 1 21.069 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 21.069 * [taylor]: Taking taylor expansion of (pow im 2) in re 21.069 * [taylor]: Taking taylor expansion of im in re 21.069 * [backup-simplify]: Simplify im into im 21.069 * [backup-simplify]: Simplify (* im im) into (pow im 2) 21.069 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 21.070 * [backup-simplify]: Simplify (+ 1 0) into 1 21.070 * [backup-simplify]: Simplify (sqrt 1) into 1 21.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.071 * [backup-simplify]: Simplify (+ 0 0) into 0 21.072 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.072 * [taylor]: Taking taylor expansion of 1 in im 21.072 * [backup-simplify]: Simplify 1 into 1 21.072 * [taylor]: Taking taylor expansion of 0 in im 21.072 * [backup-simplify]: Simplify 0 into 0 21.072 * [backup-simplify]: Simplify 1 into 1 21.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.073 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 21.074 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 21.074 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 21.074 * [taylor]: Taking taylor expansion of 1/2 in im 21.074 * [backup-simplify]: Simplify 1/2 into 1/2 21.074 * [taylor]: Taking taylor expansion of (pow im 2) in im 21.075 * [taylor]: Taking taylor expansion of im in im 21.075 * [backup-simplify]: Simplify 0 into 0 21.075 * [backup-simplify]: Simplify 1 into 1 21.075 * [backup-simplify]: Simplify (* 1 1) into 1 21.075 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 21.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 21.076 * [backup-simplify]: Simplify 0 into 0 21.076 * [backup-simplify]: Simplify 0 into 0 21.076 * [backup-simplify]: Simplify 0 into 0 21.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.078 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 21.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 21.079 * [backup-simplify]: Simplify (+ 0 0) into 0 21.079 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 21.079 * [taylor]: Taking taylor expansion of 0 in im 21.079 * [backup-simplify]: Simplify 0 into 0 21.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.081 * [backup-simplify]: Simplify 0 into 0 21.081 * [backup-simplify]: Simplify 0 into 0 21.081 * [backup-simplify]: Simplify 0 into 0 21.081 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 21.081 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2 1 1 1 1) 21.082 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 21.082 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 21.082 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 21.082 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 21.082 * [taylor]: Taking taylor expansion of (pow im 2) in im 21.082 * [taylor]: Taking taylor expansion of im in im 21.082 * [backup-simplify]: Simplify 0 into 0 21.082 * [backup-simplify]: Simplify 1 into 1 21.082 * [taylor]: Taking taylor expansion of (pow re 2) in im 21.082 * [taylor]: Taking taylor expansion of re in im 21.082 * [backup-simplify]: Simplify re into re 21.082 * [backup-simplify]: Simplify (* re re) into (pow re 2) 21.082 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 21.082 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 21.083 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 21.083 * [backup-simplify]: Simplify (+ 0 0) into 0 21.083 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 21.083 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 21.083 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 21.083 * [taylor]: Taking taylor expansion of (pow im 2) in re 21.083 * [taylor]: Taking taylor expansion of im in re 21.084 * [backup-simplify]: Simplify im into im 21.084 * [taylor]: Taking taylor expansion of (pow re 2) in re 21.084 * [taylor]: Taking taylor expansion of re in re 21.084 * [backup-simplify]: Simplify 0 into 0 21.084 * [backup-simplify]: Simplify 1 into 1 21.084 * [backup-simplify]: Simplify (* im im) into (pow im 2) 21.084 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 21.085 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 21.085 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 21.085 * [backup-simplify]: Simplify (+ 0 0) into 0 21.085 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 21.086 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 21.086 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 21.086 * [taylor]: Taking taylor expansion of (pow im 2) in re 21.086 * [taylor]: Taking taylor expansion of im in re 21.086 * [backup-simplify]: Simplify im into im 21.086 * [taylor]: Taking taylor expansion of (pow re 2) in re 21.086 * [taylor]: Taking taylor expansion of re in re 21.086 * [backup-simplify]: Simplify 0 into 0 21.086 * [backup-simplify]: Simplify 1 into 1 21.086 * [backup-simplify]: Simplify (* im im) into (pow im 2) 21.086 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 21.086 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 21.086 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 21.087 * [backup-simplify]: Simplify (+ 0 0) into 0 21.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 21.087 * [taylor]: Taking taylor expansion of im in im 21.087 * [backup-simplify]: Simplify 0 into 0 21.087 * [backup-simplify]: Simplify 1 into 1 21.087 * [backup-simplify]: Simplify 0 into 0 21.087 * [taylor]: Taking taylor expansion of 0 in im 21.087 * [backup-simplify]: Simplify 0 into 0 21.087 * [backup-simplify]: Simplify 0 into 0 21.087 * [backup-simplify]: Simplify 1 into 1 21.088 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 21.088 * [backup-simplify]: Simplify (* 1 1) into 1 21.088 * [backup-simplify]: Simplify (+ 0 1) into 1 21.089 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 21.089 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 21.089 * [taylor]: Taking taylor expansion of 1/2 in im 21.089 * [backup-simplify]: Simplify 1/2 into 1/2 21.089 * [taylor]: Taking taylor expansion of im in im 21.089 * [backup-simplify]: Simplify 0 into 0 21.089 * [backup-simplify]: Simplify 1 into 1 21.089 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 21.090 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 21.090 * [backup-simplify]: Simplify 0 into 0 21.090 * [backup-simplify]: Simplify 0 into 0 21.090 * [backup-simplify]: Simplify 0 into 0 21.091 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 21.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.091 * [backup-simplify]: Simplify (+ 0 0) into 0 21.091 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 21.091 * [taylor]: Taking taylor expansion of 0 in im 21.092 * [backup-simplify]: Simplify 0 into 0 21.092 * [backup-simplify]: Simplify 0 into 0 21.092 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.092 * [backup-simplify]: Simplify 0 into 0 21.092 * [backup-simplify]: Simplify 0 into 0 21.092 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 21.093 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 21.093 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 21.093 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 21.093 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 21.093 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 21.093 * [taylor]: Taking taylor expansion of (pow re 2) in im 21.093 * [taylor]: Taking taylor expansion of re in im 21.093 * [backup-simplify]: Simplify re into re 21.093 * [backup-simplify]: Simplify (* re re) into (pow re 2) 21.093 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 21.093 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 21.093 * [taylor]: Taking taylor expansion of (pow im 2) in im 21.093 * [taylor]: Taking taylor expansion of im in im 21.093 * [backup-simplify]: Simplify 0 into 0 21.093 * [backup-simplify]: Simplify 1 into 1 21.094 * [backup-simplify]: Simplify (* 1 1) into 1 21.094 * [backup-simplify]: Simplify (/ 1 1) into 1 21.094 * [backup-simplify]: Simplify (+ 0 1) into 1 21.095 * [backup-simplify]: Simplify (sqrt 1) into 1 21.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.096 * [backup-simplify]: Simplify (+ 0 0) into 0 21.096 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.096 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 21.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 21.096 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 21.096 * [taylor]: Taking taylor expansion of (pow re 2) in re 21.096 * [taylor]: Taking taylor expansion of re in re 21.096 * [backup-simplify]: Simplify 0 into 0 21.096 * [backup-simplify]: Simplify 1 into 1 21.097 * [backup-simplify]: Simplify (* 1 1) into 1 21.097 * [backup-simplify]: Simplify (/ 1 1) into 1 21.097 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 21.097 * [taylor]: Taking taylor expansion of (pow im 2) in re 21.097 * [taylor]: Taking taylor expansion of im in re 21.097 * [backup-simplify]: Simplify im into im 21.097 * [backup-simplify]: Simplify (* im im) into (pow im 2) 21.097 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 21.098 * [backup-simplify]: Simplify (+ 1 0) into 1 21.098 * [backup-simplify]: Simplify (sqrt 1) into 1 21.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.099 * [backup-simplify]: Simplify (+ 0 0) into 0 21.100 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.100 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 21.100 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 21.100 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 21.100 * [taylor]: Taking taylor expansion of (pow re 2) in re 21.100 * [taylor]: Taking taylor expansion of re in re 21.100 * [backup-simplify]: Simplify 0 into 0 21.100 * [backup-simplify]: Simplify 1 into 1 21.100 * [backup-simplify]: Simplify (* 1 1) into 1 21.100 * [backup-simplify]: Simplify (/ 1 1) into 1 21.100 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 21.100 * [taylor]: Taking taylor expansion of (pow im 2) in re 21.100 * [taylor]: Taking taylor expansion of im in re 21.101 * [backup-simplify]: Simplify im into im 21.101 * [backup-simplify]: Simplify (* im im) into (pow im 2) 21.101 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 21.101 * [backup-simplify]: Simplify (+ 1 0) into 1 21.102 * [backup-simplify]: Simplify (sqrt 1) into 1 21.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.104 * [backup-simplify]: Simplify (+ 0 0) into 0 21.105 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.105 * [taylor]: Taking taylor expansion of 1 in im 21.105 * [backup-simplify]: Simplify 1 into 1 21.105 * [taylor]: Taking taylor expansion of 0 in im 21.105 * [backup-simplify]: Simplify 0 into 0 21.105 * [backup-simplify]: Simplify 1 into 1 21.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.108 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 21.110 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 21.110 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 21.110 * [taylor]: Taking taylor expansion of 1/2 in im 21.110 * [backup-simplify]: Simplify 1/2 into 1/2 21.110 * [taylor]: Taking taylor expansion of (pow im 2) in im 21.110 * [taylor]: Taking taylor expansion of im in im 21.110 * [backup-simplify]: Simplify 0 into 0 21.110 * [backup-simplify]: Simplify 1 into 1 21.111 * [backup-simplify]: Simplify (* 1 1) into 1 21.111 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 21.112 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 21.113 * [backup-simplify]: Simplify 0 into 0 21.113 * [backup-simplify]: Simplify 0 into 0 21.113 * [backup-simplify]: Simplify 0 into 0 21.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.116 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 21.117 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 21.117 * [backup-simplify]: Simplify (+ 0 0) into 0 21.119 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 21.119 * [taylor]: Taking taylor expansion of 0 in im 21.119 * [backup-simplify]: Simplify 0 into 0 21.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.121 * [backup-simplify]: Simplify 0 into 0 21.121 * [backup-simplify]: Simplify 0 into 0 21.121 * [backup-simplify]: Simplify 0 into 0 21.121 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 21.122 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 21.122 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 21.122 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 21.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 21.122 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 21.122 * [taylor]: Taking taylor expansion of (pow re 2) in im 21.122 * [taylor]: Taking taylor expansion of re in im 21.122 * [backup-simplify]: Simplify re into re 21.122 * [backup-simplify]: Simplify (* re re) into (pow re 2) 21.122 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 21.122 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 21.122 * [taylor]: Taking taylor expansion of (pow im 2) in im 21.122 * [taylor]: Taking taylor expansion of im in im 21.122 * [backup-simplify]: Simplify 0 into 0 21.122 * [backup-simplify]: Simplify 1 into 1 21.123 * [backup-simplify]: Simplify (* 1 1) into 1 21.123 * [backup-simplify]: Simplify (/ 1 1) into 1 21.123 * [backup-simplify]: Simplify (+ 0 1) into 1 21.123 * [backup-simplify]: Simplify (sqrt 1) into 1 21.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.125 * [backup-simplify]: Simplify (+ 0 0) into 0 21.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.125 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 21.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 21.125 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 21.125 * [taylor]: Taking taylor expansion of (pow re 2) in re 21.125 * [taylor]: Taking taylor expansion of re in re 21.125 * [backup-simplify]: Simplify 0 into 0 21.125 * [backup-simplify]: Simplify 1 into 1 21.126 * [backup-simplify]: Simplify (* 1 1) into 1 21.126 * [backup-simplify]: Simplify (/ 1 1) into 1 21.126 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 21.126 * [taylor]: Taking taylor expansion of (pow im 2) in re 21.126 * [taylor]: Taking taylor expansion of im in re 21.126 * [backup-simplify]: Simplify im into im 21.126 * [backup-simplify]: Simplify (* im im) into (pow im 2) 21.126 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 21.127 * [backup-simplify]: Simplify (+ 1 0) into 1 21.127 * [backup-simplify]: Simplify (sqrt 1) into 1 21.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.128 * [backup-simplify]: Simplify (+ 0 0) into 0 21.128 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.128 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 21.128 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 21.128 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 21.129 * [taylor]: Taking taylor expansion of (pow re 2) in re 21.129 * [taylor]: Taking taylor expansion of re in re 21.129 * [backup-simplify]: Simplify 0 into 0 21.129 * [backup-simplify]: Simplify 1 into 1 21.129 * [backup-simplify]: Simplify (* 1 1) into 1 21.129 * [backup-simplify]: Simplify (/ 1 1) into 1 21.129 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 21.129 * [taylor]: Taking taylor expansion of (pow im 2) in re 21.129 * [taylor]: Taking taylor expansion of im in re 21.129 * [backup-simplify]: Simplify im into im 21.129 * [backup-simplify]: Simplify (* im im) into (pow im 2) 21.130 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 21.130 * [backup-simplify]: Simplify (+ 1 0) into 1 21.130 * [backup-simplify]: Simplify (sqrt 1) into 1 21.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.131 * [backup-simplify]: Simplify (+ 0 0) into 0 21.132 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.132 * [taylor]: Taking taylor expansion of 1 in im 21.132 * [backup-simplify]: Simplify 1 into 1 21.132 * [taylor]: Taking taylor expansion of 0 in im 21.132 * [backup-simplify]: Simplify 0 into 0 21.132 * [backup-simplify]: Simplify 1 into 1 21.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.134 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 21.135 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 21.135 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 21.135 * [taylor]: Taking taylor expansion of 1/2 in im 21.135 * [backup-simplify]: Simplify 1/2 into 1/2 21.135 * [taylor]: Taking taylor expansion of (pow im 2) in im 21.135 * [taylor]: Taking taylor expansion of im in im 21.135 * [backup-simplify]: Simplify 0 into 0 21.135 * [backup-simplify]: Simplify 1 into 1 21.135 * [backup-simplify]: Simplify (* 1 1) into 1 21.136 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 21.136 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 21.137 * [backup-simplify]: Simplify 0 into 0 21.137 * [backup-simplify]: Simplify 0 into 0 21.137 * [backup-simplify]: Simplify 0 into 0 21.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.138 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 21.139 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 21.139 * [backup-simplify]: Simplify (+ 0 0) into 0 21.140 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 21.140 * [taylor]: Taking taylor expansion of 0 in im 21.140 * [backup-simplify]: Simplify 0 into 0 21.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.141 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.141 * [backup-simplify]: Simplify 0 into 0 21.142 * [backup-simplify]: Simplify 0 into 0 21.142 * [backup-simplify]: Simplify 0 into 0 21.142 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 21.142 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 2 1 1 2 1) 21.142 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 21.142 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 21.142 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 21.142 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 21.142 * [taylor]: Taking taylor expansion of (pow im 2) in im 21.142 * [taylor]: Taking taylor expansion of im in im 21.142 * [backup-simplify]: Simplify 0 into 0 21.142 * [backup-simplify]: Simplify 1 into 1 21.142 * [taylor]: Taking taylor expansion of (pow re 2) in im 21.142 * [taylor]: Taking taylor expansion of re in im 21.142 * [backup-simplify]: Simplify re into re 21.142 * [backup-simplify]: Simplify (* re re) into (pow re 2) 21.143 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 21.143 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 21.143 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 21.143 * [backup-simplify]: Simplify (+ 0 0) into 0 21.144 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 21.144 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 21.144 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 21.144 * [taylor]: Taking taylor expansion of (pow im 2) in re 21.144 * [taylor]: Taking taylor expansion of im in re 21.144 * [backup-simplify]: Simplify im into im 21.144 * [taylor]: Taking taylor expansion of (pow re 2) in re 21.144 * [taylor]: Taking taylor expansion of re in re 21.144 * [backup-simplify]: Simplify 0 into 0 21.144 * [backup-simplify]: Simplify 1 into 1 21.144 * [backup-simplify]: Simplify (* im im) into (pow im 2) 21.144 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 21.144 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 21.145 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 21.145 * [backup-simplify]: Simplify (+ 0 0) into 0 21.145 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 21.145 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 21.145 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 21.145 * [taylor]: Taking taylor expansion of (pow im 2) in re 21.145 * [taylor]: Taking taylor expansion of im in re 21.145 * [backup-simplify]: Simplify im into im 21.145 * [taylor]: Taking taylor expansion of (pow re 2) in re 21.145 * [taylor]: Taking taylor expansion of re in re 21.145 * [backup-simplify]: Simplify 0 into 0 21.145 * [backup-simplify]: Simplify 1 into 1 21.145 * [backup-simplify]: Simplify (* im im) into (pow im 2) 21.146 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 21.146 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 21.146 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 21.146 * [backup-simplify]: Simplify (+ 0 0) into 0 21.147 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 21.147 * [taylor]: Taking taylor expansion of im in im 21.147 * [backup-simplify]: Simplify 0 into 0 21.147 * [backup-simplify]: Simplify 1 into 1 21.147 * [backup-simplify]: Simplify 0 into 0 21.147 * [taylor]: Taking taylor expansion of 0 in im 21.147 * [backup-simplify]: Simplify 0 into 0 21.147 * [backup-simplify]: Simplify 0 into 0 21.147 * [backup-simplify]: Simplify 1 into 1 21.147 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 21.148 * [backup-simplify]: Simplify (* 1 1) into 1 21.148 * [backup-simplify]: Simplify (+ 0 1) into 1 21.148 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 21.148 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 21.148 * [taylor]: Taking taylor expansion of 1/2 in im 21.148 * [backup-simplify]: Simplify 1/2 into 1/2 21.149 * [taylor]: Taking taylor expansion of im in im 21.149 * [backup-simplify]: Simplify 0 into 0 21.149 * [backup-simplify]: Simplify 1 into 1 21.149 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 21.149 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 21.149 * [backup-simplify]: Simplify 0 into 0 21.150 * [backup-simplify]: Simplify 0 into 0 21.150 * [backup-simplify]: Simplify 0 into 0 21.150 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 21.151 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.151 * [backup-simplify]: Simplify (+ 0 0) into 0 21.151 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 21.151 * [taylor]: Taking taylor expansion of 0 in im 21.151 * [backup-simplify]: Simplify 0 into 0 21.151 * [backup-simplify]: Simplify 0 into 0 21.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.152 * [backup-simplify]: Simplify 0 into 0 21.152 * [backup-simplify]: Simplify 0 into 0 21.152 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 21.153 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 21.153 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 21.153 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 21.153 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 21.153 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 21.153 * [taylor]: Taking taylor expansion of (pow re 2) in im 21.153 * [taylor]: Taking taylor expansion of re in im 21.153 * [backup-simplify]: Simplify re into re 21.153 * [backup-simplify]: Simplify (* re re) into (pow re 2) 21.153 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 21.153 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 21.153 * [taylor]: Taking taylor expansion of (pow im 2) in im 21.153 * [taylor]: Taking taylor expansion of im in im 21.153 * [backup-simplify]: Simplify 0 into 0 21.153 * [backup-simplify]: Simplify 1 into 1 21.153 * [backup-simplify]: Simplify (* 1 1) into 1 21.154 * [backup-simplify]: Simplify (/ 1 1) into 1 21.154 * [backup-simplify]: Simplify (+ 0 1) into 1 21.154 * [backup-simplify]: Simplify (sqrt 1) into 1 21.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.156 * [backup-simplify]: Simplify (+ 0 0) into 0 21.156 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.156 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 21.156 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 21.156 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 21.156 * [taylor]: Taking taylor expansion of (pow re 2) in re 21.156 * [taylor]: Taking taylor expansion of re in re 21.156 * [backup-simplify]: Simplify 0 into 0 21.156 * [backup-simplify]: Simplify 1 into 1 21.156 * [backup-simplify]: Simplify (* 1 1) into 1 21.157 * [backup-simplify]: Simplify (/ 1 1) into 1 21.157 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 21.157 * [taylor]: Taking taylor expansion of (pow im 2) in re 21.157 * [taylor]: Taking taylor expansion of im in re 21.157 * [backup-simplify]: Simplify im into im 21.157 * [backup-simplify]: Simplify (* im im) into (pow im 2) 21.157 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 21.159 * [backup-simplify]: Simplify (+ 1 0) into 1 21.160 * [backup-simplify]: Simplify (sqrt 1) into 1 21.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.162 * [backup-simplify]: Simplify (+ 0 0) into 0 21.163 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.163 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 21.163 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 21.163 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 21.163 * [taylor]: Taking taylor expansion of (pow re 2) in re 21.163 * [taylor]: Taking taylor expansion of re in re 21.163 * [backup-simplify]: Simplify 0 into 0 21.163 * [backup-simplify]: Simplify 1 into 1 21.163 * [backup-simplify]: Simplify (* 1 1) into 1 21.164 * [backup-simplify]: Simplify (/ 1 1) into 1 21.164 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 21.164 * [taylor]: Taking taylor expansion of (pow im 2) in re 21.164 * [taylor]: Taking taylor expansion of im in re 21.164 * [backup-simplify]: Simplify im into im 21.164 * [backup-simplify]: Simplify (* im im) into (pow im 2) 21.165 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 21.165 * [backup-simplify]: Simplify (+ 1 0) into 1 21.165 * [backup-simplify]: Simplify (sqrt 1) into 1 21.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.167 * [backup-simplify]: Simplify (+ 0 0) into 0 21.167 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.167 * [taylor]: Taking taylor expansion of 1 in im 21.167 * [backup-simplify]: Simplify 1 into 1 21.167 * [taylor]: Taking taylor expansion of 0 in im 21.167 * [backup-simplify]: Simplify 0 into 0 21.167 * [backup-simplify]: Simplify 1 into 1 21.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.169 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 21.170 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 21.170 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 21.170 * [taylor]: Taking taylor expansion of 1/2 in im 21.170 * [backup-simplify]: Simplify 1/2 into 1/2 21.170 * [taylor]: Taking taylor expansion of (pow im 2) in im 21.170 * [taylor]: Taking taylor expansion of im in im 21.170 * [backup-simplify]: Simplify 0 into 0 21.170 * [backup-simplify]: Simplify 1 into 1 21.170 * [backup-simplify]: Simplify (* 1 1) into 1 21.171 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 21.171 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 21.172 * [backup-simplify]: Simplify 0 into 0 21.172 * [backup-simplify]: Simplify 0 into 0 21.172 * [backup-simplify]: Simplify 0 into 0 21.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.173 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 21.174 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 21.174 * [backup-simplify]: Simplify (+ 0 0) into 0 21.175 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 21.175 * [taylor]: Taking taylor expansion of 0 in im 21.175 * [backup-simplify]: Simplify 0 into 0 21.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.176 * [backup-simplify]: Simplify 0 into 0 21.176 * [backup-simplify]: Simplify 0 into 0 21.176 * [backup-simplify]: Simplify 0 into 0 21.176 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 21.177 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 21.177 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 21.177 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 21.177 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 21.177 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 21.177 * [taylor]: Taking taylor expansion of (pow re 2) in im 21.177 * [taylor]: Taking taylor expansion of re in im 21.177 * [backup-simplify]: Simplify re into re 21.177 * [backup-simplify]: Simplify (* re re) into (pow re 2) 21.177 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 21.177 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 21.177 * [taylor]: Taking taylor expansion of (pow im 2) in im 21.177 * [taylor]: Taking taylor expansion of im in im 21.178 * [backup-simplify]: Simplify 0 into 0 21.178 * [backup-simplify]: Simplify 1 into 1 21.178 * [backup-simplify]: Simplify (* 1 1) into 1 21.178 * [backup-simplify]: Simplify (/ 1 1) into 1 21.178 * [backup-simplify]: Simplify (+ 0 1) into 1 21.179 * [backup-simplify]: Simplify (sqrt 1) into 1 21.179 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.180 * [backup-simplify]: Simplify (+ 0 0) into 0 21.180 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.180 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 21.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 21.180 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 21.180 * [taylor]: Taking taylor expansion of (pow re 2) in re 21.180 * [taylor]: Taking taylor expansion of re in re 21.180 * [backup-simplify]: Simplify 0 into 0 21.180 * [backup-simplify]: Simplify 1 into 1 21.181 * [backup-simplify]: Simplify (* 1 1) into 1 21.181 * [backup-simplify]: Simplify (/ 1 1) into 1 21.181 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 21.181 * [taylor]: Taking taylor expansion of (pow im 2) in re 21.181 * [taylor]: Taking taylor expansion of im in re 21.181 * [backup-simplify]: Simplify im into im 21.181 * [backup-simplify]: Simplify (* im im) into (pow im 2) 21.181 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 21.182 * [backup-simplify]: Simplify (+ 1 0) into 1 21.182 * [backup-simplify]: Simplify (sqrt 1) into 1 21.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.183 * [backup-simplify]: Simplify (+ 0 0) into 0 21.184 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.184 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 21.184 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 21.184 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 21.184 * [taylor]: Taking taylor expansion of (pow re 2) in re 21.184 * [taylor]: Taking taylor expansion of re in re 21.184 * [backup-simplify]: Simplify 0 into 0 21.184 * [backup-simplify]: Simplify 1 into 1 21.184 * [backup-simplify]: Simplify (* 1 1) into 1 21.184 * [backup-simplify]: Simplify (/ 1 1) into 1 21.184 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 21.184 * [taylor]: Taking taylor expansion of (pow im 2) in re 21.185 * [taylor]: Taking taylor expansion of im in re 21.185 * [backup-simplify]: Simplify im into im 21.185 * [backup-simplify]: Simplify (* im im) into (pow im 2) 21.185 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 21.185 * [backup-simplify]: Simplify (+ 1 0) into 1 21.185 * [backup-simplify]: Simplify (sqrt 1) into 1 21.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.187 * [backup-simplify]: Simplify (+ 0 0) into 0 21.187 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.187 * [taylor]: Taking taylor expansion of 1 in im 21.187 * [backup-simplify]: Simplify 1 into 1 21.187 * [taylor]: Taking taylor expansion of 0 in im 21.187 * [backup-simplify]: Simplify 0 into 0 21.187 * [backup-simplify]: Simplify 1 into 1 21.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.189 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 21.190 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 21.190 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 21.190 * [taylor]: Taking taylor expansion of 1/2 in im 21.190 * [backup-simplify]: Simplify 1/2 into 1/2 21.190 * [taylor]: Taking taylor expansion of (pow im 2) in im 21.190 * [taylor]: Taking taylor expansion of im in im 21.190 * [backup-simplify]: Simplify 0 into 0 21.190 * [backup-simplify]: Simplify 1 into 1 21.190 * [backup-simplify]: Simplify (* 1 1) into 1 21.191 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 21.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 21.192 * [backup-simplify]: Simplify 0 into 0 21.192 * [backup-simplify]: Simplify 0 into 0 21.192 * [backup-simplify]: Simplify 0 into 0 21.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.193 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 21.194 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 21.194 * [backup-simplify]: Simplify (+ 0 0) into 0 21.195 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 21.195 * [taylor]: Taking taylor expansion of 0 in im 21.195 * [backup-simplify]: Simplify 0 into 0 21.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.196 * [backup-simplify]: Simplify 0 into 0 21.196 * [backup-simplify]: Simplify 0 into 0 21.196 * [backup-simplify]: Simplify 0 into 0 21.197 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 21.197 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 2 1 1 1 1) 21.197 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 21.197 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 21.197 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 21.197 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 21.197 * [taylor]: Taking taylor expansion of (pow im 2) in im 21.197 * [taylor]: Taking taylor expansion of im in im 21.197 * [backup-simplify]: Simplify 0 into 0 21.197 * [backup-simplify]: Simplify 1 into 1 21.197 * [taylor]: Taking taylor expansion of (pow re 2) in im 21.197 * [taylor]: Taking taylor expansion of re in im 21.197 * [backup-simplify]: Simplify re into re 21.197 * [backup-simplify]: Simplify (* re re) into (pow re 2) 21.197 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 21.198 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 21.198 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 21.198 * [backup-simplify]: Simplify (+ 0 0) into 0 21.198 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 21.198 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 21.198 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 21.198 * [taylor]: Taking taylor expansion of (pow im 2) in re 21.199 * [taylor]: Taking taylor expansion of im in re 21.199 * [backup-simplify]: Simplify im into im 21.199 * [taylor]: Taking taylor expansion of (pow re 2) in re 21.199 * [taylor]: Taking taylor expansion of re in re 21.199 * [backup-simplify]: Simplify 0 into 0 21.199 * [backup-simplify]: Simplify 1 into 1 21.199 * [backup-simplify]: Simplify (* im im) into (pow im 2) 21.199 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 21.199 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 21.199 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 21.200 * [backup-simplify]: Simplify (+ 0 0) into 0 21.200 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 21.200 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 21.200 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 21.200 * [taylor]: Taking taylor expansion of (pow im 2) in re 21.200 * [taylor]: Taking taylor expansion of im in re 21.200 * [backup-simplify]: Simplify im into im 21.200 * [taylor]: Taking taylor expansion of (pow re 2) in re 21.200 * [taylor]: Taking taylor expansion of re in re 21.200 * [backup-simplify]: Simplify 0 into 0 21.200 * [backup-simplify]: Simplify 1 into 1 21.200 * [backup-simplify]: Simplify (* im im) into (pow im 2) 21.200 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 21.201 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 21.201 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 21.201 * [backup-simplify]: Simplify (+ 0 0) into 0 21.202 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 21.202 * [taylor]: Taking taylor expansion of im in im 21.202 * [backup-simplify]: Simplify 0 into 0 21.202 * [backup-simplify]: Simplify 1 into 1 21.202 * [backup-simplify]: Simplify 0 into 0 21.202 * [taylor]: Taking taylor expansion of 0 in im 21.202 * [backup-simplify]: Simplify 0 into 0 21.202 * [backup-simplify]: Simplify 0 into 0 21.202 * [backup-simplify]: Simplify 1 into 1 21.203 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 21.203 * [backup-simplify]: Simplify (* 1 1) into 1 21.203 * [backup-simplify]: Simplify (+ 0 1) into 1 21.204 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 21.204 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 21.205 * [taylor]: Taking taylor expansion of 1/2 in im 21.205 * [backup-simplify]: Simplify 1/2 into 1/2 21.205 * [taylor]: Taking taylor expansion of im in im 21.205 * [backup-simplify]: Simplify 0 into 0 21.205 * [backup-simplify]: Simplify 1 into 1 21.205 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 21.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 21.206 * [backup-simplify]: Simplify 0 into 0 21.206 * [backup-simplify]: Simplify 0 into 0 21.206 * [backup-simplify]: Simplify 0 into 0 21.207 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 21.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.209 * [backup-simplify]: Simplify (+ 0 0) into 0 21.209 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 21.209 * [taylor]: Taking taylor expansion of 0 in im 21.209 * [backup-simplify]: Simplify 0 into 0 21.209 * [backup-simplify]: Simplify 0 into 0 21.210 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.210 * [backup-simplify]: Simplify 0 into 0 21.211 * [backup-simplify]: Simplify 0 into 0 21.211 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 21.212 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 21.212 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 21.212 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 21.212 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 21.212 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 21.212 * [taylor]: Taking taylor expansion of (pow re 2) in im 21.212 * [taylor]: Taking taylor expansion of re in im 21.212 * [backup-simplify]: Simplify re into re 21.212 * [backup-simplify]: Simplify (* re re) into (pow re 2) 21.212 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 21.212 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 21.212 * [taylor]: Taking taylor expansion of (pow im 2) in im 21.213 * [taylor]: Taking taylor expansion of im in im 21.213 * [backup-simplify]: Simplify 0 into 0 21.213 * [backup-simplify]: Simplify 1 into 1 21.213 * [backup-simplify]: Simplify (* 1 1) into 1 21.213 * [backup-simplify]: Simplify (/ 1 1) into 1 21.214 * [backup-simplify]: Simplify (+ 0 1) into 1 21.214 * [backup-simplify]: Simplify (sqrt 1) into 1 21.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.216 * [backup-simplify]: Simplify (+ 0 0) into 0 21.217 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.217 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 21.217 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 21.217 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 21.217 * [taylor]: Taking taylor expansion of (pow re 2) in re 21.217 * [taylor]: Taking taylor expansion of re in re 21.217 * [backup-simplify]: Simplify 0 into 0 21.217 * [backup-simplify]: Simplify 1 into 1 21.218 * [backup-simplify]: Simplify (* 1 1) into 1 21.218 * [backup-simplify]: Simplify (/ 1 1) into 1 21.218 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 21.218 * [taylor]: Taking taylor expansion of (pow im 2) in re 21.218 * [taylor]: Taking taylor expansion of im in re 21.219 * [backup-simplify]: Simplify im into im 21.219 * [backup-simplify]: Simplify (* im im) into (pow im 2) 21.219 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 21.220 * [backup-simplify]: Simplify (+ 1 0) into 1 21.220 * [backup-simplify]: Simplify (sqrt 1) into 1 21.221 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.222 * [backup-simplify]: Simplify (+ 0 0) into 0 21.223 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.223 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 21.223 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 21.223 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 21.223 * [taylor]: Taking taylor expansion of (pow re 2) in re 21.223 * [taylor]: Taking taylor expansion of re in re 21.223 * [backup-simplify]: Simplify 0 into 0 21.223 * [backup-simplify]: Simplify 1 into 1 21.224 * [backup-simplify]: Simplify (* 1 1) into 1 21.224 * [backup-simplify]: Simplify (/ 1 1) into 1 21.224 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 21.224 * [taylor]: Taking taylor expansion of (pow im 2) in re 21.224 * [taylor]: Taking taylor expansion of im in re 21.224 * [backup-simplify]: Simplify im into im 21.224 * [backup-simplify]: Simplify (* im im) into (pow im 2) 21.225 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 21.225 * [backup-simplify]: Simplify (+ 1 0) into 1 21.225 * [backup-simplify]: Simplify (sqrt 1) into 1 21.226 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.227 * [backup-simplify]: Simplify (+ 0 0) into 0 21.227 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.227 * [taylor]: Taking taylor expansion of 1 in im 21.227 * [backup-simplify]: Simplify 1 into 1 21.227 * [taylor]: Taking taylor expansion of 0 in im 21.227 * [backup-simplify]: Simplify 0 into 0 21.227 * [backup-simplify]: Simplify 1 into 1 21.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.229 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 21.230 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 21.230 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 21.230 * [taylor]: Taking taylor expansion of 1/2 in im 21.230 * [backup-simplify]: Simplify 1/2 into 1/2 21.230 * [taylor]: Taking taylor expansion of (pow im 2) in im 21.230 * [taylor]: Taking taylor expansion of im in im 21.230 * [backup-simplify]: Simplify 0 into 0 21.230 * [backup-simplify]: Simplify 1 into 1 21.230 * [backup-simplify]: Simplify (* 1 1) into 1 21.231 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 21.231 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.232 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 21.232 * [backup-simplify]: Simplify 0 into 0 21.232 * [backup-simplify]: Simplify 0 into 0 21.232 * [backup-simplify]: Simplify 0 into 0 21.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.233 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 21.234 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 21.234 * [backup-simplify]: Simplify (+ 0 0) into 0 21.235 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 21.235 * [taylor]: Taking taylor expansion of 0 in im 21.235 * [backup-simplify]: Simplify 0 into 0 21.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.236 * [backup-simplify]: Simplify 0 into 0 21.236 * [backup-simplify]: Simplify 0 into 0 21.236 * [backup-simplify]: Simplify 0 into 0 21.237 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 21.237 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 21.237 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 21.237 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 21.237 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 21.237 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 21.237 * [taylor]: Taking taylor expansion of (pow re 2) in im 21.237 * [taylor]: Taking taylor expansion of re in im 21.237 * [backup-simplify]: Simplify re into re 21.237 * [backup-simplify]: Simplify (* re re) into (pow re 2) 21.238 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 21.238 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 21.238 * [taylor]: Taking taylor expansion of (pow im 2) in im 21.238 * [taylor]: Taking taylor expansion of im in im 21.238 * [backup-simplify]: Simplify 0 into 0 21.238 * [backup-simplify]: Simplify 1 into 1 21.238 * [backup-simplify]: Simplify (* 1 1) into 1 21.238 * [backup-simplify]: Simplify (/ 1 1) into 1 21.239 * [backup-simplify]: Simplify (+ 0 1) into 1 21.239 * [backup-simplify]: Simplify (sqrt 1) into 1 21.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.240 * [backup-simplify]: Simplify (+ 0 0) into 0 21.241 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.241 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 21.241 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 21.241 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 21.241 * [taylor]: Taking taylor expansion of (pow re 2) in re 21.241 * [taylor]: Taking taylor expansion of re in re 21.241 * [backup-simplify]: Simplify 0 into 0 21.241 * [backup-simplify]: Simplify 1 into 1 21.241 * [backup-simplify]: Simplify (* 1 1) into 1 21.241 * [backup-simplify]: Simplify (/ 1 1) into 1 21.241 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 21.241 * [taylor]: Taking taylor expansion of (pow im 2) in re 21.241 * [taylor]: Taking taylor expansion of im in re 21.241 * [backup-simplify]: Simplify im into im 21.241 * [backup-simplify]: Simplify (* im im) into (pow im 2) 21.242 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 21.242 * [backup-simplify]: Simplify (+ 1 0) into 1 21.242 * [backup-simplify]: Simplify (sqrt 1) into 1 21.243 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.243 * [backup-simplify]: Simplify (+ 0 0) into 0 21.244 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.244 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 21.244 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 21.244 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 21.244 * [taylor]: Taking taylor expansion of (pow re 2) in re 21.244 * [taylor]: Taking taylor expansion of re in re 21.244 * [backup-simplify]: Simplify 0 into 0 21.244 * [backup-simplify]: Simplify 1 into 1 21.244 * [backup-simplify]: Simplify (* 1 1) into 1 21.245 * [backup-simplify]: Simplify (/ 1 1) into 1 21.245 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 21.245 * [taylor]: Taking taylor expansion of (pow im 2) in re 21.245 * [taylor]: Taking taylor expansion of im in re 21.245 * [backup-simplify]: Simplify im into im 21.245 * [backup-simplify]: Simplify (* im im) into (pow im 2) 21.245 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 21.245 * [backup-simplify]: Simplify (+ 1 0) into 1 21.246 * [backup-simplify]: Simplify (sqrt 1) into 1 21.246 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.247 * [backup-simplify]: Simplify (+ 0 0) into 0 21.247 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.247 * [taylor]: Taking taylor expansion of 1 in im 21.247 * [backup-simplify]: Simplify 1 into 1 21.247 * [taylor]: Taking taylor expansion of 0 in im 21.247 * [backup-simplify]: Simplify 0 into 0 21.247 * [backup-simplify]: Simplify 1 into 1 21.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.249 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 21.250 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 21.250 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 21.250 * [taylor]: Taking taylor expansion of 1/2 in im 21.250 * [backup-simplify]: Simplify 1/2 into 1/2 21.250 * [taylor]: Taking taylor expansion of (pow im 2) in im 21.250 * [taylor]: Taking taylor expansion of im in im 21.250 * [backup-simplify]: Simplify 0 into 0 21.250 * [backup-simplify]: Simplify 1 into 1 21.250 * [backup-simplify]: Simplify (* 1 1) into 1 21.251 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 21.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 21.252 * [backup-simplify]: Simplify 0 into 0 21.252 * [backup-simplify]: Simplify 0 into 0 21.252 * [backup-simplify]: Simplify 0 into 0 21.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.253 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 21.255 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 21.255 * [backup-simplify]: Simplify (+ 0 0) into 0 21.257 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 21.257 * [taylor]: Taking taylor expansion of 0 in im 21.257 * [backup-simplify]: Simplify 0 into 0 21.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.259 * [backup-simplify]: Simplify 0 into 0 21.259 * [backup-simplify]: Simplify 0 into 0 21.259 * [backup-simplify]: Simplify 0 into 0 21.259 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 21.259 * * * [progress]: simplifying candidates 21.259 * * * * [progress]: [ 1 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))) re)))))))> 21.260 * * * * [progress]: [ 2 / 76 ] simplifiying candidate # 21.260 * * * * [progress]: [ 3 / 76 ] simplifiying candidate # 21.260 * * * * [progress]: [ 4 / 76 ] simplifiying candidate # 21.260 * * * * [progress]: [ 5 / 76 ] simplifiying candidate # 21.260 * * * * [progress]: [ 6 / 76 ] simplifiying candidate # 21.260 * * * * [progress]: [ 7 / 76 ] simplifiying candidate # 21.260 * * * * [progress]: [ 8 / 76 ] simplifiying candidate # 21.260 * * * * [progress]: [ 9 / 76 ] simplifiying candidate # 21.260 * * * * [progress]: [ 10 / 76 ] simplifiying candidate # 21.260 * * * * [progress]: [ 11 / 76 ] simplifiying candidate # 21.260 * * * * [progress]: [ 12 / 76 ] simplifiying candidate # 21.261 * * * * [progress]: [ 13 / 76 ] simplifiying candidate # 21.261 * * * * [progress]: [ 14 / 76 ] simplifiying candidate # 21.261 * * * * [progress]: [ 15 / 76 ] simplifiying candidate # 21.261 * * * * [progress]: [ 16 / 76 ] simplifiying candidate # 21.261 * * * * [progress]: [ 17 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> 21.261 * * * * [progress]: [ 18 / 76 ] simplifiying candidate # 21.261 * * * * [progress]: [ 19 / 76 ] simplifiying candidate # 21.261 * * * * [progress]: [ 20 / 76 ] simplifiying candidate # 21.261 * * * * [progress]: [ 21 / 76 ] simplifiying candidate # 21.261 * * * * [progress]: [ 22 / 76 ] simplifiying candidate # 21.261 * * * * [progress]: [ 23 / 76 ] simplifiying candidate # 21.262 * * * * [progress]: [ 24 / 76 ] simplifiying candidate # 21.262 * * * * [progress]: [ 25 / 76 ] simplifiying candidate # 21.262 * * * * [progress]: [ 26 / 76 ] simplifiying candidate # 21.262 * * * * [progress]: [ 27 / 76 ] simplifiying candidate # 21.262 * * * * [progress]: [ 28 / 76 ] simplifiying candidate # 21.262 * * * * [progress]: [ 29 / 76 ] simplifiying candidate # 21.262 * * * * [progress]: [ 30 / 76 ] simplifiying candidate # 21.262 * * * * [progress]: [ 31 / 76 ] simplifiying candidate # 21.262 * * * * [progress]: [ 32 / 76 ] simplifiying candidate # 21.262 * * * * [progress]: [ 33 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> 21.262 * * * * [progress]: [ 34 / 76 ] simplifiying candidate # 21.262 * * * * [progress]: [ 35 / 76 ] simplifiying candidate # 21.263 * * * * [progress]: [ 36 / 76 ] simplifiying candidate # 21.263 * * * * [progress]: [ 37 / 76 ] simplifiying candidate # 21.263 * * * * [progress]: [ 38 / 76 ] simplifiying candidate # 21.263 * * * * [progress]: [ 39 / 76 ] simplifiying candidate # 21.263 * * * * [progress]: [ 40 / 76 ] simplifiying candidate # 21.263 * * * * [progress]: [ 41 / 76 ] simplifiying candidate # 21.263 * * * * [progress]: [ 42 / 76 ] simplifiying candidate # 21.263 * * * * [progress]: [ 43 / 76 ] simplifiying candidate # 21.263 * * * * [progress]: [ 44 / 76 ] simplifiying candidate # 21.263 * * * * [progress]: [ 45 / 76 ] simplifiying candidate # 21.263 * * * * [progress]: [ 46 / 76 ] simplifiying candidate # 21.264 * * * * [progress]: [ 47 / 76 ] simplifiying candidate # 21.264 * * * * [progress]: [ 48 / 76 ] simplifiying candidate # 21.264 * * * * [progress]: [ 49 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> 21.264 * * * * [progress]: [ 50 / 76 ] simplifiying candidate # 21.264 * * * * [progress]: [ 51 / 76 ] simplifiying candidate # 21.264 * * * * [progress]: [ 52 / 76 ] simplifiying candidate # 21.264 * * * * [progress]: [ 53 / 76 ] simplifiying candidate # 21.264 * * * * [progress]: [ 54 / 76 ] simplifiying candidate # 21.264 * * * * [progress]: [ 55 / 76 ] simplifiying candidate # 21.264 * * * * [progress]: [ 56 / 76 ] simplifiying candidate # 21.264 * * * * [progress]: [ 57 / 76 ] simplifiying candidate # 21.264 * * * * [progress]: [ 58 / 76 ] simplifiying candidate # 21.265 * * * * [progress]: [ 59 / 76 ] simplifiying candidate # 21.265 * * * * [progress]: [ 60 / 76 ] simplifiying candidate # 21.265 * * * * [progress]: [ 61 / 76 ] simplifiying candidate # 21.265 * * * * [progress]: [ 62 / 76 ] simplifiying candidate # 21.265 * * * * [progress]: [ 63 / 76 ] simplifiying candidate # 21.265 * * * * [progress]: [ 64 / 76 ] simplifiying candidate # 21.265 * * * * [progress]: [ 65 / 76 ] simplifiying candidate # 21.265 * * * * [progress]: [ 66 / 76 ] simplifiying candidate # 21.265 * * * * [progress]: [ 67 / 76 ] simplifiying candidate # 21.265 * * * * [progress]: [ 68 / 76 ] simplifiying candidate # 21.265 * * * * [progress]: [ 69 / 76 ] simplifiying candidate # 21.265 * * * * [progress]: [ 70 / 76 ] simplifiying candidate # 21.265 * * * * [progress]: [ 71 / 76 ] simplifiying candidate # 21.266 * * * * [progress]: [ 72 / 76 ] simplifiying candidate # 21.266 * * * * [progress]: [ 73 / 76 ] simplifiying candidate # 21.266 * * * * [progress]: [ 74 / 76 ] simplifiying candidate # 21.266 * * * * [progress]: [ 75 / 76 ] simplifiying candidate # 21.266 * * * * [progress]: [ 76 / 76 ] simplifiying candidate # 21.267 * [simplify]: Simplifying: (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (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)))) im re (* -1 re) im re (* -1 re) im re (* -1 re) im re (* -1 re) 21.269 * * [simplify]: iteration 0: 39 enodes 21.311 * * [simplify]: iteration 1: 92 enodes 21.386 * * [simplify]: iteration 2: 196 enodes 21.616 * * [simplify]: iteration 3: 433 enodes 22.169 * * [simplify]: iteration 4: 991 enodes 23.694 * * [simplify]: iteration 5: 3240 enodes 27.486 * * [simplify]: iteration complete: 5000 enodes 27.486 * * [simplify]: Extracting #0: cost 19 inf + 0 27.486 * * [simplify]: Extracting #1: cost 43 inf + 45 27.487 * * [simplify]: Extracting #2: cost 188 inf + 49 27.493 * * [simplify]: Extracting #3: cost 827 inf + 6053 27.527 * * [simplify]: Extracting #4: cost 843 inf + 66933 27.584 * * [simplify]: Extracting #5: cost 437 inf + 174105 27.644 * * [simplify]: Extracting #6: cost 267 inf + 252891 27.736 * * [simplify]: Extracting #7: cost 87 inf + 352605 27.808 * * [simplify]: Extracting #8: cost 12 inf + 378395 27.872 * * [simplify]: Extracting #9: cost 0 inf + 381871 27.950 * [simplify]: Simplified to: (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 (- (* (* 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 (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 (- (* (* 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 (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 (- (* (* 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 (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 (- (* (* 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)))) im re (- re) im re (- re) im re (- re) im re (- re) 27.981 * * * [progress]: adding candidates to table 29.121 * [progress]: [Phase 3 of 3] Extracting. 29.121 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 29.148 * * * [regime-changes]: Trying 4 branch expressions: ((* im im) (+ (sqrt (+ (* re re) (* im im))) re) im re) 29.148 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # # # # #) 29.399 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # # #) 29.604 * * * * [regimes]: Trying to branch on (+ (sqrt (+ (* re re) (* im im))) re) from (# # # # # # # # # # #) 29.845 * * * * [regimes]: Trying to branch on (+ (sqrt (+ (* re re) (* im im))) re) from (# #) 30.004 * * * * [regimes]: Trying to branch on im from (# # # # # # # # # # #) 30.272 * * * * [regimes]: Trying to branch on re from (# # # # # # # # # # #) 30.579 * * * [regime]: Found split indices: #