0.550 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.115 * * * [progress]: [2/2] Setting up program. 0.121 * [progress]: [Phase 2 of 3] Improving. 0.125 * [simplify]: Simplifying: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.126 * * [simplify]: Extracting # 0 : cost 0 0.126 * * [simplify]: Extracting # 1 : cost 0 0.127 * * [simplify]: Extracting # 2 : cost 0 0.127 * * [simplify]: Extracting # 3 : cost 0 0.127 * * [simplify]: Extracting # 4 : cost 0 0.127 * * [simplify]: Extracting # 5 : cost 0 0.127 * * [simplify]: Extracting # 6 : cost 0 0.127 * * [simplify]: Extracting # 7 : cost 0 0.127 * * [simplify]: Extracting # 8 : cost 0 0.127 * * [simplify]: iteration 0 : 12 enodes (cost 15 ) 0.136 * * [simplify]: Extracting # 0 : cost 0 0.136 * * [simplify]: Extracting # 1 : cost 0 0.136 * * [simplify]: Extracting # 2 : cost 0 0.136 * * [simplify]: iteration 1 : 19 enodes (cost 10 ) 0.192 * * [simplify]: Extracting # 0 : cost 0 0.192 * * [simplify]: Extracting # 1 : cost 0 0.192 * * [simplify]: Extracting # 2 : cost 0 0.192 * * [simplify]: iteration 2 : 28 enodes (cost 10 ) 0.203 * * [simplify]: Extracting # 0 : cost 0 0.204 * * [simplify]: Extracting # 1 : cost 0 0.204 * * [simplify]: Extracting # 2 : cost 0 0.204 * * [simplify]: iteration 3 : 36 enodes (cost 10 ) 0.214 * * [simplify]: Extracting # 0 : cost 0 0.214 * * [simplify]: Extracting # 1 : cost 0 0.214 * * [simplify]: Extracting # 2 : cost 0 0.214 * * [simplify]: iteration 4 : 43 enodes (cost 10 ) 0.220 * * [simplify]: Extracting # 0 : cost 0 0.220 * * [simplify]: iteration 5 : 45 enodes (cost 10 ) 0.227 * * [simplify]: Extracting # 0 : cost 0 0.227 * * [simplify]: iteration done: 45 enodes (cost 10 ) 0.227 * [simplify]: Simplified to: (* 0.5 (sqrt (* (- (hypot re im) re) 2.0))) 0.233 * * [progress]: iteration 1 / 4 0.233 * * * [progress]: picking best candidate 0.238 * * * * [pick]: Picked # 0.238 * * * [progress]: localizing error 0.261 * * * [progress]: generating rewritten candidates 0.261 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1) 0.279 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 1 1) 0.280 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.318 * * * [progress]: generating series expansions 0.318 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 1) 0.324 * [backup-simplify]: Simplify (- (hypot re im) re) into (- (hypot re im) re) 0.324 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 0.325 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 0.325 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.328 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.328 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.328 * [taylor]: Taking taylor expansion of (* re re) in im 0.328 * [taylor]: Taking taylor expansion of re in im 0.328 * [backup-simplify]: Simplify re into re 0.328 * [taylor]: Taking taylor expansion of re in im 0.328 * [backup-simplify]: Simplify re into re 0.328 * [taylor]: Taking taylor expansion of (* im im) in im 0.328 * [taylor]: Taking taylor expansion of im in im 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 1 into 1 0.328 * [taylor]: Taking taylor expansion of im in im 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 1 into 1 0.331 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.332 * [backup-simplify]: Simplify (* 0 0) into 0 0.333 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.333 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.333 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.334 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.334 * [backup-simplify]: Simplify (+ 0 0) into 0 0.334 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.334 * [taylor]: Taking taylor expansion of re in im 0.334 * [backup-simplify]: Simplify re into re 0.335 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.335 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.335 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.335 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.335 * [taylor]: Taking taylor expansion of (* re re) in re 0.335 * [taylor]: Taking taylor expansion of re in re 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify 1 into 1 0.335 * [taylor]: Taking taylor expansion of re in re 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify 1 into 1 0.335 * [taylor]: Taking taylor expansion of (* im im) in re 0.335 * [taylor]: Taking taylor expansion of im in re 0.335 * [backup-simplify]: Simplify im into im 0.335 * [taylor]: Taking taylor expansion of im in re 0.335 * [backup-simplify]: Simplify im into im 0.335 * [backup-simplify]: Simplify (* 0 0) into 0 0.336 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.336 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.336 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.336 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.337 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.337 * [backup-simplify]: Simplify (+ 0 0) into 0 0.337 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.337 * [taylor]: Taking taylor expansion of re in re 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify 1 into 1 0.337 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.337 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.337 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.337 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.338 * [taylor]: Taking taylor expansion of (* re re) in re 0.338 * [taylor]: Taking taylor expansion of re in re 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 1 into 1 0.338 * [taylor]: Taking taylor expansion of re in re 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 1 into 1 0.338 * [taylor]: Taking taylor expansion of (* im im) in re 0.338 * [taylor]: Taking taylor expansion of im in re 0.338 * [backup-simplify]: Simplify im into im 0.338 * [taylor]: Taking taylor expansion of im in re 0.338 * [backup-simplify]: Simplify im into im 0.338 * [backup-simplify]: Simplify (* 0 0) into 0 0.338 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.338 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.339 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.339 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.339 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.340 * [backup-simplify]: Simplify (+ 0 0) into 0 0.340 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.340 * [taylor]: Taking taylor expansion of re in re 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify 1 into 1 0.341 * [backup-simplify]: Simplify (- 0) into 0 0.341 * [backup-simplify]: Simplify (+ im 0) into im 0.341 * [taylor]: Taking taylor expansion of im in im 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify 1 into 1 0.341 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify (- 1) into -1 0.343 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.343 * [taylor]: Taking taylor expansion of -1 in im 0.343 * [backup-simplify]: Simplify -1 into -1 0.343 * [backup-simplify]: Simplify -1 into -1 0.343 * [backup-simplify]: Simplify 1 into 1 0.345 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.345 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.346 * [backup-simplify]: Simplify (+ 1 0) into 1 0.347 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.347 * [backup-simplify]: Simplify (- 0) into 0 0.347 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 0.347 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.347 * [taylor]: Taking taylor expansion of 1/2 in im 0.347 * [backup-simplify]: Simplify 1/2 into 1/2 0.347 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.348 * [taylor]: Taking taylor expansion of im in im 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify 1 into 1 0.348 * [backup-simplify]: Simplify (/ 1 1) into 1 0.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.350 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.352 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.352 * [backup-simplify]: Simplify (+ 0 0) into 0 0.353 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.353 * [backup-simplify]: Simplify (- 0) into 0 0.354 * [backup-simplify]: Simplify (+ 0 0) into 0 0.354 * [taylor]: Taking taylor expansion of 0 in im 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.356 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 0.356 * [backup-simplify]: Simplify (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) into (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 0.356 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 0.356 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.356 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.357 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.357 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.357 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.357 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.357 * [taylor]: Taking taylor expansion of re in im 0.357 * [backup-simplify]: Simplify re into re 0.357 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.357 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.357 * [taylor]: Taking taylor expansion of re in im 0.357 * [backup-simplify]: Simplify re into re 0.357 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.357 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.357 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.357 * [taylor]: Taking taylor expansion of im in im 0.357 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify 1 into 1 0.357 * [backup-simplify]: Simplify (/ 1 1) into 1 0.358 * [taylor]: Taking taylor expansion of (/ 1 im) 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 0.358 * [backup-simplify]: Simplify (/ 1 1) into 1 0.359 * [backup-simplify]: Simplify (* 1 1) into 1 0.359 * [backup-simplify]: Simplify (+ 0 1) into 1 0.359 * [backup-simplify]: Simplify (sqrt 1) into 1 0.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.361 * [backup-simplify]: Simplify (+ 0 0) into 0 0.361 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.361 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.361 * [taylor]: Taking taylor expansion of re in im 0.362 * [backup-simplify]: Simplify re into re 0.362 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.362 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.362 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.362 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.362 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.362 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.362 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.362 * [taylor]: Taking taylor expansion of re in re 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify 1 into 1 0.362 * [backup-simplify]: Simplify (/ 1 1) into 1 0.362 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.362 * [taylor]: Taking taylor expansion of re in re 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify 1 into 1 0.362 * [backup-simplify]: Simplify (/ 1 1) into 1 0.362 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.362 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.363 * [taylor]: Taking taylor expansion of im in re 0.363 * [backup-simplify]: Simplify im into im 0.363 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.363 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.363 * [taylor]: Taking taylor expansion of im in re 0.363 * [backup-simplify]: Simplify im into im 0.363 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.363 * [backup-simplify]: Simplify (* 1 1) into 1 0.363 * [backup-simplify]: Simplify (+ 1 0) into 1 0.363 * [backup-simplify]: Simplify (sqrt 1) into 1 0.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.365 * [backup-simplify]: Simplify (+ 0 0) into 0 0.365 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.365 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.365 * [taylor]: Taking taylor expansion of re in re 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify 1 into 1 0.366 * [backup-simplify]: Simplify (/ 1 1) into 1 0.366 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.366 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.366 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.366 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.366 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.366 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.366 * [taylor]: Taking taylor expansion of re in re 0.366 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify 1 into 1 0.366 * [backup-simplify]: Simplify (/ 1 1) into 1 0.366 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.366 * [taylor]: Taking taylor expansion of re in re 0.366 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify 1 into 1 0.367 * [backup-simplify]: Simplify (/ 1 1) into 1 0.367 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.367 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.367 * [taylor]: Taking taylor expansion of im in re 0.367 * [backup-simplify]: Simplify im into im 0.367 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.367 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.367 * [taylor]: Taking taylor expansion of im in re 0.367 * [backup-simplify]: Simplify im into im 0.367 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.367 * [backup-simplify]: Simplify (* 1 1) into 1 0.367 * [backup-simplify]: Simplify (+ 1 0) into 1 0.367 * [backup-simplify]: Simplify (sqrt 1) into 1 0.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.369 * [backup-simplify]: Simplify (+ 0 0) into 0 0.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.369 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.369 * [taylor]: Taking taylor expansion of re in re 0.369 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify 1 into 1 0.370 * [backup-simplify]: Simplify (/ 1 1) into 1 0.370 * [backup-simplify]: Simplify (- 1) into -1 0.370 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.370 * [taylor]: Taking taylor expansion of 0 in im 0.370 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.371 * [backup-simplify]: Simplify (- 0) into 0 0.371 * [backup-simplify]: Simplify (+ 0 0) into 0 0.371 * [taylor]: Taking taylor expansion of 0 in im 0.371 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.373 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.373 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.374 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.375 * [backup-simplify]: Simplify (- 0) into 0 0.375 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.375 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.375 * [taylor]: Taking taylor expansion of 1/2 in im 0.375 * [backup-simplify]: Simplify 1/2 into 1/2 0.375 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.375 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.375 * [taylor]: Taking taylor expansion of im in im 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify 1 into 1 0.376 * [backup-simplify]: Simplify (* 1 1) into 1 0.376 * [backup-simplify]: Simplify (/ 1 1) into 1 0.376 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.377 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.379 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.379 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.379 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 0.379 * [backup-simplify]: Simplify (+ 0 0) into 0 0.380 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.381 * [backup-simplify]: Simplify (- 0) into 0 0.381 * [backup-simplify]: Simplify (+ 0 0) into 0 0.381 * [taylor]: Taking taylor expansion of 0 in im 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.383 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) into (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 0.383 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 0.383 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 0.383 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.383 * [taylor]: Taking taylor expansion of re in im 0.383 * [backup-simplify]: Simplify re into re 0.383 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.383 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.383 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.384 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.384 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.384 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.384 * [taylor]: Taking taylor expansion of -1 in im 0.384 * [backup-simplify]: Simplify -1 into -1 0.384 * [taylor]: Taking taylor expansion of re in im 0.384 * [backup-simplify]: Simplify re into re 0.384 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.384 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.384 * [taylor]: Taking taylor expansion of -1 in im 0.384 * [backup-simplify]: Simplify -1 into -1 0.384 * [taylor]: Taking taylor expansion of re in im 0.384 * [backup-simplify]: Simplify re into re 0.384 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.384 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.384 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.384 * [taylor]: Taking taylor expansion of -1 in im 0.384 * [backup-simplify]: Simplify -1 into -1 0.384 * [taylor]: Taking taylor expansion of im in im 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 1 into 1 0.384 * [backup-simplify]: Simplify (/ -1 1) into -1 0.384 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.384 * [taylor]: Taking taylor expansion of -1 in im 0.384 * [backup-simplify]: Simplify -1 into -1 0.384 * [taylor]: Taking taylor expansion of im in im 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 1 into 1 0.385 * [backup-simplify]: Simplify (/ -1 1) into -1 0.385 * [backup-simplify]: Simplify (* -1 -1) into 1 0.385 * [backup-simplify]: Simplify (+ 0 1) into 1 0.385 * [backup-simplify]: Simplify (sqrt 1) into 1 0.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.387 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.387 * [backup-simplify]: Simplify (+ 0 0) into 0 0.388 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.388 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.388 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.388 * [taylor]: Taking taylor expansion of re in re 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify 1 into 1 0.389 * [backup-simplify]: Simplify (/ 1 1) into 1 0.389 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.389 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.389 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.389 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.389 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.389 * [taylor]: Taking taylor expansion of -1 in re 0.389 * [backup-simplify]: Simplify -1 into -1 0.389 * [taylor]: Taking taylor expansion of re in re 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify 1 into 1 0.389 * [backup-simplify]: Simplify (/ -1 1) into -1 0.389 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.390 * [taylor]: Taking taylor expansion of -1 in re 0.390 * [backup-simplify]: Simplify -1 into -1 0.390 * [taylor]: Taking taylor expansion of re in re 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify 1 into 1 0.390 * [backup-simplify]: Simplify (/ -1 1) into -1 0.390 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.390 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.390 * [taylor]: Taking taylor expansion of -1 in re 0.390 * [backup-simplify]: Simplify -1 into -1 0.390 * [taylor]: Taking taylor expansion of im in re 0.390 * [backup-simplify]: Simplify im into im 0.390 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.390 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.390 * [taylor]: Taking taylor expansion of -1 in re 0.390 * [backup-simplify]: Simplify -1 into -1 0.390 * [taylor]: Taking taylor expansion of im in re 0.390 * [backup-simplify]: Simplify im into im 0.390 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.391 * [backup-simplify]: Simplify (* -1 -1) into 1 0.391 * [backup-simplify]: Simplify (+ 1 0) into 1 0.392 * [backup-simplify]: Simplify (sqrt 1) into 1 0.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.393 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.394 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.394 * [backup-simplify]: Simplify (+ 0 0) into 0 0.395 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.395 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.395 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.395 * [taylor]: Taking taylor expansion of re in re 0.395 * [backup-simplify]: Simplify 0 into 0 0.395 * [backup-simplify]: Simplify 1 into 1 0.396 * [backup-simplify]: Simplify (/ 1 1) into 1 0.396 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.396 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.396 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.396 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.396 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.396 * [taylor]: Taking taylor expansion of -1 in re 0.396 * [backup-simplify]: Simplify -1 into -1 0.396 * [taylor]: Taking taylor expansion of re in re 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify 1 into 1 0.397 * [backup-simplify]: Simplify (/ -1 1) into -1 0.397 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.397 * [taylor]: Taking taylor expansion of -1 in re 0.397 * [backup-simplify]: Simplify -1 into -1 0.397 * [taylor]: Taking taylor expansion of re in re 0.397 * [backup-simplify]: Simplify 0 into 0 0.397 * [backup-simplify]: Simplify 1 into 1 0.397 * [backup-simplify]: Simplify (/ -1 1) into -1 0.397 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.397 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.397 * [taylor]: Taking taylor expansion of -1 in re 0.397 * [backup-simplify]: Simplify -1 into -1 0.397 * [taylor]: Taking taylor expansion of im in re 0.397 * [backup-simplify]: Simplify im into im 0.397 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.397 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.398 * [taylor]: Taking taylor expansion of -1 in re 0.398 * [backup-simplify]: Simplify -1 into -1 0.398 * [taylor]: Taking taylor expansion of im in re 0.398 * [backup-simplify]: Simplify im into im 0.398 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.398 * [backup-simplify]: Simplify (* -1 -1) into 1 0.398 * [backup-simplify]: Simplify (+ 1 0) into 1 0.399 * [backup-simplify]: Simplify (sqrt 1) into 1 0.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.401 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.401 * [backup-simplify]: Simplify (+ 0 0) into 0 0.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.403 * [backup-simplify]: Simplify (+ 1 1) into 2 0.403 * [taylor]: Taking taylor expansion of 2 in im 0.403 * [backup-simplify]: Simplify 2 into 2 0.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.404 * [backup-simplify]: Simplify (+ 0 0) into 0 0.404 * [taylor]: Taking taylor expansion of 0 in im 0.404 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify 2 into 2 0.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.406 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.407 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.408 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.408 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.408 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.410 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.410 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.410 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.410 * [taylor]: Taking taylor expansion of 1/2 in im 0.410 * [backup-simplify]: Simplify 1/2 into 1/2 0.410 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.410 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.410 * [taylor]: Taking taylor expansion of im in im 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify 1 into 1 0.410 * [backup-simplify]: Simplify (* 1 1) into 1 0.411 * [backup-simplify]: Simplify (/ 1 1) into 1 0.411 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.413 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.416 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.417 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.417 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.417 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.418 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.418 * [backup-simplify]: Simplify (+ 0 0) into 0 0.419 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.419 * [backup-simplify]: Simplify (+ 0 0) into 0 0.419 * [taylor]: Taking taylor expansion of 0 in im 0.419 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.422 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 0.422 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 1 1) 0.422 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 0.422 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.422 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.422 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.423 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.423 * [taylor]: Taking taylor expansion of (* re re) in im 0.423 * [taylor]: Taking taylor expansion of re in im 0.423 * [backup-simplify]: Simplify re into re 0.423 * [taylor]: Taking taylor expansion of re in im 0.423 * [backup-simplify]: Simplify re into re 0.423 * [taylor]: Taking taylor expansion of (* im im) in im 0.423 * [taylor]: Taking taylor expansion of im in im 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 1 into 1 0.423 * [taylor]: Taking taylor expansion of im in im 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 1 into 1 0.423 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.423 * [backup-simplify]: Simplify (* 0 0) into 0 0.424 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.424 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.424 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.425 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.425 * [backup-simplify]: Simplify (+ 0 0) into 0 0.425 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.425 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.425 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.425 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.426 * [taylor]: Taking taylor expansion of (* re re) in re 0.426 * [taylor]: Taking taylor expansion of re in re 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify 1 into 1 0.426 * [taylor]: Taking taylor expansion of re in re 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify 1 into 1 0.426 * [taylor]: Taking taylor expansion of (* im im) in re 0.426 * [taylor]: Taking taylor expansion of im in re 0.426 * [backup-simplify]: Simplify im into im 0.426 * [taylor]: Taking taylor expansion of im in re 0.426 * [backup-simplify]: Simplify im into im 0.426 * [backup-simplify]: Simplify (* 0 0) into 0 0.426 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.426 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.427 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.427 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.427 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.428 * [backup-simplify]: Simplify (+ 0 0) into 0 0.428 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.428 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.428 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.428 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.428 * [taylor]: Taking taylor expansion of (* re re) in re 0.428 * [taylor]: Taking taylor expansion of re in re 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify 1 into 1 0.428 * [taylor]: Taking taylor expansion of re in re 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify 1 into 1 0.428 * [taylor]: Taking taylor expansion of (* im im) in re 0.428 * [taylor]: Taking taylor expansion of im in re 0.428 * [backup-simplify]: Simplify im into im 0.428 * [taylor]: Taking taylor expansion of im in re 0.428 * [backup-simplify]: Simplify im into im 0.429 * [backup-simplify]: Simplify (* 0 0) into 0 0.429 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.429 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.429 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.430 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.430 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.430 * [backup-simplify]: Simplify (+ 0 0) into 0 0.430 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.430 * [taylor]: Taking taylor expansion of im in im 0.430 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify 1 into 1 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [taylor]: Taking taylor expansion of 0 in im 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify 1 into 1 0.431 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.432 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.432 * [backup-simplify]: Simplify (+ 1 0) into 1 0.433 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.433 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.433 * [taylor]: Taking taylor expansion of 1/2 in im 0.433 * [backup-simplify]: Simplify 1/2 into 1/2 0.433 * [taylor]: Taking taylor expansion of im in im 0.433 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify 1 into 1 0.434 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.435 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.437 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.437 * [backup-simplify]: Simplify (+ 0 0) into 0 0.437 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.437 * [taylor]: Taking taylor expansion of 0 in im 0.437 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.438 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.439 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 0.439 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.439 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.439 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.439 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.439 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.439 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.439 * [taylor]: Taking taylor expansion of re in im 0.439 * [backup-simplify]: Simplify re into re 0.439 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.439 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.439 * [taylor]: Taking taylor expansion of re in im 0.439 * [backup-simplify]: Simplify re into re 0.439 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.439 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.439 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.439 * [taylor]: Taking taylor expansion of im in im 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 1 into 1 0.440 * [backup-simplify]: Simplify (/ 1 1) into 1 0.440 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.440 * [taylor]: Taking taylor expansion of im in im 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify 1 into 1 0.440 * [backup-simplify]: Simplify (/ 1 1) into 1 0.441 * [backup-simplify]: Simplify (* 1 1) into 1 0.441 * [backup-simplify]: Simplify (+ 0 1) into 1 0.441 * [backup-simplify]: Simplify (sqrt 1) into 1 0.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.444 * [backup-simplify]: Simplify (+ 0 0) into 0 0.444 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.445 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.445 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.445 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.445 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.445 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.445 * [taylor]: Taking taylor expansion of re in re 0.445 * [backup-simplify]: Simplify 0 into 0 0.445 * [backup-simplify]: Simplify 1 into 1 0.445 * [backup-simplify]: Simplify (/ 1 1) into 1 0.445 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.445 * [taylor]: Taking taylor expansion of re in re 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 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.446 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.446 * [taylor]: Taking taylor expansion of im in re 0.446 * [backup-simplify]: Simplify im into im 0.446 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.446 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.446 * [taylor]: Taking taylor expansion of im in re 0.446 * [backup-simplify]: Simplify im into im 0.446 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.446 * [backup-simplify]: Simplify (* 1 1) into 1 0.447 * [backup-simplify]: Simplify (+ 1 0) into 1 0.447 * [backup-simplify]: Simplify (sqrt 1) into 1 0.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.459 * [backup-simplify]: Simplify (+ 0 0) into 0 0.460 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.460 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.460 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.460 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.460 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.460 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.460 * [taylor]: Taking taylor expansion of re in re 0.460 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify 1 into 1 0.460 * [backup-simplify]: Simplify (/ 1 1) into 1 0.460 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.460 * [taylor]: Taking taylor expansion of re in re 0.460 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify 1 into 1 0.461 * [backup-simplify]: Simplify (/ 1 1) into 1 0.461 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.461 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.461 * [taylor]: Taking taylor expansion of im in re 0.461 * [backup-simplify]: Simplify im into im 0.461 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.461 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.461 * [taylor]: Taking taylor expansion of im in re 0.461 * [backup-simplify]: Simplify im into im 0.461 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.461 * [backup-simplify]: Simplify (* 1 1) into 1 0.462 * [backup-simplify]: Simplify (+ 1 0) into 1 0.462 * [backup-simplify]: Simplify (sqrt 1) into 1 0.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.465 * [backup-simplify]: Simplify (+ 0 0) into 0 0.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.466 * [taylor]: Taking taylor expansion of 1 in im 0.466 * [backup-simplify]: Simplify 1 into 1 0.466 * [taylor]: Taking taylor expansion of 0 in im 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify 1 into 1 0.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.469 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.469 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.470 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.470 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.470 * [taylor]: Taking taylor expansion of 1/2 in im 0.470 * [backup-simplify]: Simplify 1/2 into 1/2 0.470 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.470 * [taylor]: Taking taylor expansion of im in im 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify 1 into 1 0.471 * [backup-simplify]: Simplify (* 1 1) into 1 0.471 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.473 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.476 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.476 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.476 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 0.476 * [backup-simplify]: Simplify (+ 0 0) into 0 0.477 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.477 * [taylor]: Taking taylor expansion of 0 in im 0.477 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.479 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.480 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 0.480 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.480 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.480 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.480 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.480 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.480 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.480 * [taylor]: Taking taylor expansion of -1 in im 0.480 * [backup-simplify]: Simplify -1 into -1 0.480 * [taylor]: Taking taylor expansion of re in im 0.480 * [backup-simplify]: Simplify re into re 0.480 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.480 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.480 * [taylor]: Taking taylor expansion of -1 in im 0.480 * [backup-simplify]: Simplify -1 into -1 0.480 * [taylor]: Taking taylor expansion of re in im 0.480 * [backup-simplify]: Simplify re into re 0.480 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.480 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.480 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.480 * [taylor]: Taking taylor expansion of -1 in im 0.480 * [backup-simplify]: Simplify -1 into -1 0.480 * [taylor]: Taking taylor expansion of im in im 0.480 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify 1 into 1 0.481 * [backup-simplify]: Simplify (/ -1 1) into -1 0.481 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.481 * [taylor]: Taking taylor expansion of -1 in im 0.481 * [backup-simplify]: Simplify -1 into -1 0.481 * [taylor]: Taking taylor expansion of im in im 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify 1 into 1 0.481 * [backup-simplify]: Simplify (/ -1 1) into -1 0.482 * [backup-simplify]: Simplify (* -1 -1) into 1 0.482 * [backup-simplify]: Simplify (+ 0 1) into 1 0.483 * [backup-simplify]: Simplify (sqrt 1) into 1 0.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.484 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.485 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.485 * [backup-simplify]: Simplify (+ 0 0) into 0 0.486 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.486 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.486 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.486 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.486 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.486 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.486 * [taylor]: Taking taylor expansion of -1 in re 0.486 * [backup-simplify]: Simplify -1 into -1 0.486 * [taylor]: Taking taylor expansion of re in re 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify 1 into 1 0.487 * [backup-simplify]: Simplify (/ -1 1) into -1 0.487 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.487 * [taylor]: Taking taylor expansion of -1 in re 0.487 * [backup-simplify]: Simplify -1 into -1 0.487 * [taylor]: Taking taylor expansion of re in re 0.487 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify 1 into 1 0.487 * [backup-simplify]: Simplify (/ -1 1) into -1 0.487 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.487 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.487 * [taylor]: Taking taylor expansion of -1 in re 0.487 * [backup-simplify]: Simplify -1 into -1 0.488 * [taylor]: Taking taylor expansion of im in re 0.488 * [backup-simplify]: Simplify im into im 0.488 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.488 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.488 * [taylor]: Taking taylor expansion of -1 in re 0.488 * [backup-simplify]: Simplify -1 into -1 0.488 * [taylor]: Taking taylor expansion of im in re 0.488 * [backup-simplify]: Simplify im into im 0.488 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.489 * [backup-simplify]: Simplify (* -1 -1) into 1 0.489 * [backup-simplify]: Simplify (+ 1 0) into 1 0.490 * [backup-simplify]: Simplify (sqrt 1) into 1 0.491 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.491 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.492 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.492 * [backup-simplify]: Simplify (+ 0 0) into 0 0.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.493 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.493 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.493 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.493 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.494 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.494 * [taylor]: Taking taylor expansion of -1 in re 0.494 * [backup-simplify]: Simplify -1 into -1 0.494 * [taylor]: Taking taylor expansion of re in re 0.494 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify 1 into 1 0.494 * [backup-simplify]: Simplify (/ -1 1) into -1 0.494 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.494 * [taylor]: Taking taylor expansion of -1 in re 0.494 * [backup-simplify]: Simplify -1 into -1 0.494 * [taylor]: Taking taylor expansion of re in re 0.494 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify 1 into 1 0.495 * [backup-simplify]: Simplify (/ -1 1) into -1 0.495 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.495 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.495 * [taylor]: Taking taylor expansion of -1 in re 0.495 * [backup-simplify]: Simplify -1 into -1 0.495 * [taylor]: Taking taylor expansion of im in re 0.495 * [backup-simplify]: Simplify im into im 0.495 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.495 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.495 * [taylor]: Taking taylor expansion of -1 in re 0.495 * [backup-simplify]: Simplify -1 into -1 0.495 * [taylor]: Taking taylor expansion of im in re 0.495 * [backup-simplify]: Simplify im into im 0.495 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.495 * [backup-simplify]: Simplify (* -1 -1) into 1 0.496 * [backup-simplify]: Simplify (+ 1 0) into 1 0.496 * [backup-simplify]: Simplify (sqrt 1) into 1 0.496 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.497 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.497 * [backup-simplify]: Simplify (+ 0 0) into 0 0.498 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.498 * [taylor]: Taking taylor expansion of 1 in im 0.498 * [backup-simplify]: Simplify 1 into 1 0.498 * [taylor]: Taking taylor expansion of 0 in im 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify 1 into 1 0.499 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.499 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.500 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.500 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.500 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.501 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.501 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.501 * [taylor]: Taking taylor expansion of 1/2 in im 0.501 * [backup-simplify]: Simplify 1/2 into 1/2 0.501 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.501 * [taylor]: Taking taylor expansion of im in im 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify 1 into 1 0.501 * [backup-simplify]: Simplify (* 1 1) into 1 0.501 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.504 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.504 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.504 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.505 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.505 * [backup-simplify]: Simplify (+ 0 0) into 0 0.505 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.505 * [taylor]: Taking taylor expansion of 0 in im 0.505 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.506 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.506 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.507 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.507 * [backup-simplify]: Simplify (sqrt (* (- (hypot re im) re) 2.0)) into (* (sqrt 2.0) (sqrt (- (hypot re im) re))) 0.507 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in (re im) around 0 0.507 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in im 0.507 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.507 * [taylor]: Taking taylor expansion of 2.0 in im 0.507 * [backup-simplify]: Simplify 2.0 into 2.0 0.507 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.508 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.508 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in im 0.508 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 0.508 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.508 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.508 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.508 * [taylor]: Taking taylor expansion of (* re re) in im 0.508 * [taylor]: Taking taylor expansion of re in im 0.508 * [backup-simplify]: Simplify re into re 0.508 * [taylor]: Taking taylor expansion of re in im 0.508 * [backup-simplify]: Simplify re into re 0.508 * [taylor]: Taking taylor expansion of (* im im) in im 0.508 * [taylor]: Taking taylor expansion of im in im 0.508 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify 1 into 1 0.508 * [taylor]: Taking taylor expansion of im in im 0.508 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify 1 into 1 0.508 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.508 * [backup-simplify]: Simplify (* 0 0) into 0 0.508 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.509 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.509 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.509 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.509 * [backup-simplify]: Simplify (+ 0 0) into 0 0.509 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.509 * [taylor]: Taking taylor expansion of re in im 0.509 * [backup-simplify]: Simplify re into re 0.509 * [backup-simplify]: Simplify (- re) into (- re) 0.509 * [backup-simplify]: Simplify (+ re (- re)) into 0 0.510 * [backup-simplify]: Simplify (- 0) into 0 0.510 * [backup-simplify]: Simplify (+ 0 0) into 0 0.510 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 0.511 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.511 * [backup-simplify]: Simplify (+ 0 1) into 1 0.511 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 0.512 * [backup-simplify]: Simplify (- 0) into 0 0.512 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 0.512 * [backup-simplify]: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 0.512 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 0.513 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.513 * [backup-simplify]: Simplify (+ 0 0) into 0 0.513 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 0.513 * [backup-simplify]: Simplify (- 0) into 0 0.514 * [backup-simplify]: Simplify (+ 0 0) into 0 0.514 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0 0.514 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 0.514 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.514 * [taylor]: Taking taylor expansion of 2.0 in re 0.514 * [backup-simplify]: Simplify 2.0 into 2.0 0.514 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.515 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.515 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 0.515 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.515 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.515 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.515 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.515 * [taylor]: Taking taylor expansion of (* re re) in re 0.515 * [taylor]: Taking taylor expansion of re in re 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify 1 into 1 0.515 * [taylor]: Taking taylor expansion of re in re 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify 1 into 1 0.515 * [taylor]: Taking taylor expansion of (* im im) in re 0.515 * [taylor]: Taking taylor expansion of im in re 0.515 * [backup-simplify]: Simplify im into im 0.515 * [taylor]: Taking taylor expansion of im in re 0.515 * [backup-simplify]: Simplify im into im 0.515 * [backup-simplify]: Simplify (* 0 0) into 0 0.515 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.516 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.516 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.516 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.516 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.516 * [backup-simplify]: Simplify (+ 0 0) into 0 0.516 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.516 * [taylor]: Taking taylor expansion of re in re 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify 1 into 1 0.517 * [backup-simplify]: Simplify (- 0) into 0 0.517 * [backup-simplify]: Simplify (+ im 0) into im 0.517 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.517 * [backup-simplify]: Simplify (- 1) into -1 0.517 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.517 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 0.517 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 0.517 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.517 * [taylor]: Taking taylor expansion of 2.0 in re 0.517 * [backup-simplify]: Simplify 2.0 into 2.0 0.518 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.518 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.518 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 0.518 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.518 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.518 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.518 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.518 * [taylor]: Taking taylor expansion of (* re re) in re 0.518 * [taylor]: Taking taylor expansion of re in re 0.518 * [backup-simplify]: Simplify 0 into 0 0.518 * [backup-simplify]: Simplify 1 into 1 0.518 * [taylor]: Taking taylor expansion of re in re 0.518 * [backup-simplify]: Simplify 0 into 0 0.518 * [backup-simplify]: Simplify 1 into 1 0.518 * [taylor]: Taking taylor expansion of (* im im) in re 0.518 * [taylor]: Taking taylor expansion of im in re 0.518 * [backup-simplify]: Simplify im into im 0.518 * [taylor]: Taking taylor expansion of im in re 0.518 * [backup-simplify]: Simplify im into im 0.519 * [backup-simplify]: Simplify (* 0 0) into 0 0.519 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.519 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.519 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.519 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.519 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.520 * [backup-simplify]: Simplify (+ 0 0) into 0 0.520 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.520 * [taylor]: Taking taylor expansion of re in re 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify 1 into 1 0.520 * [backup-simplify]: Simplify (- 0) into 0 0.520 * [backup-simplify]: Simplify (+ im 0) into im 0.520 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.520 * [backup-simplify]: Simplify (- 1) into -1 0.521 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.521 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 0.521 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 0.521 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.521 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.521 * [taylor]: Taking taylor expansion of 2.0 in im 0.521 * [backup-simplify]: Simplify 2.0 into 2.0 0.521 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.522 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.522 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.522 * [taylor]: Taking taylor expansion of im in im 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify 1 into 1 0.522 * [backup-simplify]: Simplify (sqrt 0) into 0 0.523 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.526 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.527 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.528 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* -1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) 0.528 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 0.528 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.528 * [taylor]: Taking taylor expansion of 1/2 in im 0.528 * [backup-simplify]: Simplify 1/2 into 1/2 0.528 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.528 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.528 * [taylor]: Taking taylor expansion of 2.0 in im 0.528 * [backup-simplify]: Simplify 2.0 into 2.0 0.529 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.530 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.530 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.530 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.530 * [taylor]: Taking taylor expansion of im in im 0.530 * [backup-simplify]: Simplify 0 into 0 0.530 * [backup-simplify]: Simplify 1 into 1 0.530 * [backup-simplify]: Simplify (/ 1 1) into 1 0.531 * [backup-simplify]: Simplify (sqrt 0) into 0 0.532 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.536 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.537 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.540 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.542 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.542 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.547 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.549 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.551 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.554 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.555 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.557 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.558 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.561 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* im 1) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im re)) (* (- (* +nan.0 (sqrt 2.0))) (* im 1)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) (* im re)))))))) 0.561 * [backup-simplify]: Simplify (sqrt (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 2.0)) into (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) 0.561 * [approximate]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 0.561 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im 0.561 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 0.561 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.561 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.561 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.561 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.561 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.561 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.561 * [taylor]: Taking taylor expansion of re in im 0.561 * [backup-simplify]: Simplify re into re 0.561 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.561 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.561 * [taylor]: Taking taylor expansion of re in im 0.561 * [backup-simplify]: Simplify re into re 0.561 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.561 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.561 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.561 * [taylor]: Taking taylor expansion of im in im 0.562 * [backup-simplify]: Simplify 0 into 0 0.562 * [backup-simplify]: Simplify 1 into 1 0.562 * [backup-simplify]: Simplify (/ 1 1) into 1 0.562 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.562 * [taylor]: Taking taylor expansion of im in im 0.562 * [backup-simplify]: Simplify 0 into 0 0.562 * [backup-simplify]: Simplify 1 into 1 0.562 * [backup-simplify]: Simplify (/ 1 1) into 1 0.562 * [backup-simplify]: Simplify (* 1 1) into 1 0.563 * [backup-simplify]: Simplify (+ 0 1) into 1 0.563 * [backup-simplify]: Simplify (sqrt 1) into 1 0.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.564 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.564 * [backup-simplify]: Simplify (+ 0 0) into 0 0.565 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.565 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.565 * [taylor]: Taking taylor expansion of re in im 0.565 * [backup-simplify]: Simplify re into re 0.565 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.565 * [backup-simplify]: Simplify (+ 1 0) into 1 0.565 * [backup-simplify]: Simplify (sqrt 0) into 0 0.566 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.566 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.566 * [taylor]: Taking taylor expansion of 2.0 in im 0.566 * [backup-simplify]: Simplify 2.0 into 2.0 0.566 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.567 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.567 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 0.567 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 0.567 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.567 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.567 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.567 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.567 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.567 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.567 * [taylor]: Taking taylor expansion of re in re 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [backup-simplify]: Simplify 1 into 1 0.567 * [backup-simplify]: Simplify (/ 1 1) into 1 0.568 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.568 * [taylor]: Taking taylor expansion of re in re 0.568 * [backup-simplify]: Simplify 0 into 0 0.568 * [backup-simplify]: Simplify 1 into 1 0.568 * [backup-simplify]: Simplify (/ 1 1) into 1 0.568 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.568 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.568 * [taylor]: Taking taylor expansion of im in re 0.568 * [backup-simplify]: Simplify im into im 0.568 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.568 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.568 * [taylor]: Taking taylor expansion of im in re 0.568 * [backup-simplify]: Simplify im into im 0.568 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.568 * [backup-simplify]: Simplify (* 1 1) into 1 0.568 * [backup-simplify]: Simplify (+ 1 0) into 1 0.569 * [backup-simplify]: Simplify (sqrt 1) into 1 0.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.570 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.570 * [backup-simplify]: Simplify (+ 0 0) into 0 0.571 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.571 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.571 * [taylor]: Taking taylor expansion of re in re 0.571 * [backup-simplify]: Simplify 0 into 0 0.571 * [backup-simplify]: Simplify 1 into 1 0.571 * [backup-simplify]: Simplify (/ 1 1) into 1 0.571 * [backup-simplify]: Simplify (- 1) into -1 0.571 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.572 * [backup-simplify]: Simplify (- 0) into 0 0.572 * [backup-simplify]: Simplify (+ 0 0) into 0 0.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.574 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.575 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.576 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.582 * [backup-simplify]: Simplify (- 0) into 0 0.582 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.582 * [backup-simplify]: Simplify (sqrt 0) into 0 0.583 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.583 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.583 * [taylor]: Taking taylor expansion of 2.0 in re 0.583 * [backup-simplify]: Simplify 2.0 into 2.0 0.583 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.584 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.584 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 0.584 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 0.584 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.584 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.585 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.585 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.585 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.585 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.585 * [taylor]: Taking taylor expansion of re in re 0.585 * [backup-simplify]: Simplify 0 into 0 0.585 * [backup-simplify]: Simplify 1 into 1 0.585 * [backup-simplify]: Simplify (/ 1 1) into 1 0.585 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.585 * [taylor]: Taking taylor expansion of re in re 0.585 * [backup-simplify]: Simplify 0 into 0 0.585 * [backup-simplify]: Simplify 1 into 1 0.586 * [backup-simplify]: Simplify (/ 1 1) into 1 0.586 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.586 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.586 * [taylor]: Taking taylor expansion of im in re 0.586 * [backup-simplify]: Simplify im into im 0.586 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.586 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.586 * [taylor]: Taking taylor expansion of im in re 0.586 * [backup-simplify]: Simplify im into im 0.586 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.586 * [backup-simplify]: Simplify (* 1 1) into 1 0.587 * [backup-simplify]: Simplify (+ 1 0) into 1 0.587 * [backup-simplify]: Simplify (sqrt 1) into 1 0.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.590 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.590 * [backup-simplify]: Simplify (+ 0 0) into 0 0.591 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.591 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.591 * [taylor]: Taking taylor expansion of re in re 0.591 * [backup-simplify]: Simplify 0 into 0 0.591 * [backup-simplify]: Simplify 1 into 1 0.591 * [backup-simplify]: Simplify (/ 1 1) into 1 0.592 * [backup-simplify]: Simplify (- 1) into -1 0.592 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.593 * [backup-simplify]: Simplify (- 0) into 0 0.594 * [backup-simplify]: Simplify (+ 0 0) into 0 0.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.596 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.597 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.598 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.599 * [backup-simplify]: Simplify (- 0) into 0 0.599 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.600 * [backup-simplify]: Simplify (sqrt 0) into 0 0.600 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.601 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.601 * [taylor]: Taking taylor expansion of 2.0 in re 0.601 * [backup-simplify]: Simplify 2.0 into 2.0 0.601 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.602 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.602 * [backup-simplify]: Simplify (* 0 (sqrt 2.0)) into 0 0.602 * [taylor]: Taking taylor expansion of 0 in im 0.602 * [backup-simplify]: Simplify 0 into 0 0.603 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 (pow im 2)) (sqrt 2.0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 0.603 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.604 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.604 * [taylor]: Taking taylor expansion of +nan.0 in im 0.604 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.604 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.604 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.604 * [taylor]: Taking taylor expansion of 2.0 in im 0.604 * [backup-simplify]: Simplify 2.0 into 2.0 0.604 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.605 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.605 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.605 * [taylor]: Taking taylor expansion of im in im 0.605 * [backup-simplify]: Simplify 0 into 0 0.605 * [backup-simplify]: Simplify 1 into 1 0.605 * [backup-simplify]: Simplify (* 1 1) into 1 0.606 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.608 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.609 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.609 * [backup-simplify]: Simplify (- 0) into 0 0.609 * [backup-simplify]: Simplify 0 into 0 0.609 * [backup-simplify]: Simplify 0 into 0 0.611 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.614 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.614 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.614 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 0.614 * [backup-simplify]: Simplify (+ 0 0) into 0 0.615 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.616 * [backup-simplify]: Simplify (- 0) into 0 0.617 * [backup-simplify]: Simplify (+ 0 0) into 0 0.618 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 0.619 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (/ +nan.0 (pow im 2)) 0) (* (/ +nan.0 (pow im 4)) (sqrt 2.0)))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) 0.619 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.619 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.619 * [taylor]: Taking taylor expansion of +nan.0 in im 0.619 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.619 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.619 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.619 * [taylor]: Taking taylor expansion of 2.0 in im 0.619 * [backup-simplify]: Simplify 2.0 into 2.0 0.620 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.620 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.620 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.620 * [taylor]: Taking taylor expansion of im in im 0.620 * [backup-simplify]: Simplify 0 into 0 0.621 * [backup-simplify]: Simplify 1 into 1 0.621 * [backup-simplify]: Simplify (* 1 1) into 1 0.621 * [backup-simplify]: Simplify (* 1 1) into 1 0.622 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.624 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.625 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.630 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.631 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.632 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.633 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.636 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.637 * [backup-simplify]: Simplify (- 0) into 0 0.637 * [backup-simplify]: Simplify 0 into 0 0.638 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.640 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.642 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.642 * [backup-simplify]: Simplify (- 0) into 0 0.642 * [backup-simplify]: Simplify 0 into 0 0.642 * [backup-simplify]: Simplify 0 into 0 0.643 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.647 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.647 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.648 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (+ (* 0 0) (* 0 (/ 1 im)))) into 0 0.648 * [backup-simplify]: Simplify (+ 0 0) into 0 0.650 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 0.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.651 * [backup-simplify]: Simplify (- 0) into 0 0.651 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 0.652 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6)))))) 0.654 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (/ +nan.0 (pow im 2)) 0) (+ (* (/ +nan.0 (pow im 4)) 0) (* (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6)))))) (sqrt 2.0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) 0.655 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.655 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.655 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.655 * [taylor]: Taking taylor expansion of +nan.0 in im 0.655 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.655 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.655 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.655 * [taylor]: Taking taylor expansion of 2.0 in im 0.655 * [backup-simplify]: Simplify 2.0 into 2.0 0.656 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.657 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.657 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.657 * [taylor]: Taking taylor expansion of im in im 0.657 * [backup-simplify]: Simplify 0 into 0 0.657 * [backup-simplify]: Simplify 1 into 1 0.657 * [backup-simplify]: Simplify (* 1 1) into 1 0.658 * [backup-simplify]: Simplify (* 1 1) into 1 0.659 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.659 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.659 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.659 * [taylor]: Taking taylor expansion of +nan.0 in im 0.659 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.659 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.659 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.659 * [taylor]: Taking taylor expansion of 2.0 in im 0.659 * [backup-simplify]: Simplify 2.0 into 2.0 0.659 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.660 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.660 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.660 * [taylor]: Taking taylor expansion of im in im 0.660 * [backup-simplify]: Simplify 0 into 0 0.660 * [backup-simplify]: Simplify 1 into 1 0.661 * [backup-simplify]: Simplify (* 1 1) into 1 0.661 * [backup-simplify]: Simplify (* 1 1) into 1 0.662 * [backup-simplify]: Simplify (* 1 1) into 1 0.663 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.664 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.665 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.666 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.670 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.671 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.673 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.674 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.675 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.676 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.678 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.679 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.680 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.685 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.686 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.687 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.688 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.689 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.693 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.694 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.697 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.699 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.700 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.702 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.703 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 0.704 * [backup-simplify]: Simplify (- 0) into 0 0.704 * [backup-simplify]: Simplify (+ 0 0) into 0 0.704 * [backup-simplify]: Simplify (- 0) into 0 0.704 * [backup-simplify]: Simplify 0 into 0 0.704 * [backup-simplify]: Simplify 0 into 0 0.705 * [backup-simplify]: Simplify (sqrt (* (- (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) 2.0)) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) 0.705 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in (re im) around 0 0.705 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in im 0.705 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.705 * [taylor]: Taking taylor expansion of 2.0 in im 0.705 * [backup-simplify]: Simplify 2.0 into 2.0 0.705 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.706 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.706 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in im 0.706 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 0.706 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.706 * [taylor]: Taking taylor expansion of re in im 0.706 * [backup-simplify]: Simplify re into re 0.706 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.706 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.707 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.707 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.707 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.707 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.707 * [taylor]: Taking taylor expansion of -1 in im 0.707 * [backup-simplify]: Simplify -1 into -1 0.707 * [taylor]: Taking taylor expansion of re in im 0.707 * [backup-simplify]: Simplify re into re 0.707 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.707 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.707 * [taylor]: Taking taylor expansion of -1 in im 0.707 * [backup-simplify]: Simplify -1 into -1 0.707 * [taylor]: Taking taylor expansion of re in im 0.707 * [backup-simplify]: Simplify re into re 0.707 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.707 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.707 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.707 * [taylor]: Taking taylor expansion of -1 in im 0.707 * [backup-simplify]: Simplify -1 into -1 0.707 * [taylor]: Taking taylor expansion of im in im 0.707 * [backup-simplify]: Simplify 0 into 0 0.707 * [backup-simplify]: Simplify 1 into 1 0.708 * [backup-simplify]: Simplify (/ -1 1) into -1 0.708 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.708 * [taylor]: Taking taylor expansion of -1 in im 0.708 * [backup-simplify]: Simplify -1 into -1 0.708 * [taylor]: Taking taylor expansion of im in im 0.708 * [backup-simplify]: Simplify 0 into 0 0.708 * [backup-simplify]: Simplify 1 into 1 0.708 * [backup-simplify]: Simplify (/ -1 1) into -1 0.709 * [backup-simplify]: Simplify (* -1 -1) into 1 0.709 * [backup-simplify]: Simplify (+ 0 1) into 1 0.709 * [backup-simplify]: Simplify (sqrt 1) into 1 0.710 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.711 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.712 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.712 * [backup-simplify]: Simplify (+ 0 0) into 0 0.713 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.713 * [backup-simplify]: Simplify (+ 0 1) into 1 0.713 * [backup-simplify]: Simplify (sqrt 0) into 0 0.715 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.715 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 0.715 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.715 * [taylor]: Taking taylor expansion of 2.0 in re 0.715 * [backup-simplify]: Simplify 2.0 into 2.0 0.715 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.716 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.716 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 0.716 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.716 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.716 * [taylor]: Taking taylor expansion of re in re 0.716 * [backup-simplify]: Simplify 0 into 0 0.716 * [backup-simplify]: Simplify 1 into 1 0.717 * [backup-simplify]: Simplify (/ 1 1) into 1 0.717 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.717 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.717 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.717 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.717 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.717 * [taylor]: Taking taylor expansion of -1 in re 0.717 * [backup-simplify]: Simplify -1 into -1 0.717 * [taylor]: Taking taylor expansion of re in re 0.717 * [backup-simplify]: Simplify 0 into 0 0.717 * [backup-simplify]: Simplify 1 into 1 0.717 * [backup-simplify]: Simplify (/ -1 1) into -1 0.717 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.717 * [taylor]: Taking taylor expansion of -1 in re 0.718 * [backup-simplify]: Simplify -1 into -1 0.718 * [taylor]: Taking taylor expansion of re in re 0.718 * [backup-simplify]: Simplify 0 into 0 0.718 * [backup-simplify]: Simplify 1 into 1 0.718 * [backup-simplify]: Simplify (/ -1 1) into -1 0.718 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.718 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.718 * [taylor]: Taking taylor expansion of -1 in re 0.718 * [backup-simplify]: Simplify -1 into -1 0.718 * [taylor]: Taking taylor expansion of im in re 0.718 * [backup-simplify]: Simplify im into im 0.718 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.718 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.718 * [taylor]: Taking taylor expansion of -1 in re 0.718 * [backup-simplify]: Simplify -1 into -1 0.718 * [taylor]: Taking taylor expansion of im in re 0.718 * [backup-simplify]: Simplify im into im 0.718 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.719 * [backup-simplify]: Simplify (* -1 -1) into 1 0.719 * [backup-simplify]: Simplify (+ 1 0) into 1 0.720 * [backup-simplify]: Simplify (sqrt 1) into 1 0.720 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.722 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.722 * [backup-simplify]: Simplify (+ 0 0) into 0 0.723 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.723 * [backup-simplify]: Simplify (+ 1 1) into 2 0.724 * [backup-simplify]: Simplify (sqrt 0) into 0 0.725 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.725 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 0.725 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.725 * [taylor]: Taking taylor expansion of 2.0 in re 0.725 * [backup-simplify]: Simplify 2.0 into 2.0 0.726 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.726 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.726 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 0.726 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.726 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.727 * [taylor]: Taking taylor expansion of re in re 0.727 * [backup-simplify]: Simplify 0 into 0 0.727 * [backup-simplify]: Simplify 1 into 1 0.727 * [backup-simplify]: Simplify (/ 1 1) into 1 0.727 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.727 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.727 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.727 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.727 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.727 * [taylor]: Taking taylor expansion of -1 in re 0.727 * [backup-simplify]: Simplify -1 into -1 0.727 * [taylor]: Taking taylor expansion of re in re 0.727 * [backup-simplify]: Simplify 0 into 0 0.727 * [backup-simplify]: Simplify 1 into 1 0.728 * [backup-simplify]: Simplify (/ -1 1) into -1 0.728 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.728 * [taylor]: Taking taylor expansion of -1 in re 0.728 * [backup-simplify]: Simplify -1 into -1 0.728 * [taylor]: Taking taylor expansion of re in re 0.728 * [backup-simplify]: Simplify 0 into 0 0.728 * [backup-simplify]: Simplify 1 into 1 0.728 * [backup-simplify]: Simplify (/ -1 1) into -1 0.728 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.728 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.728 * [taylor]: Taking taylor expansion of -1 in re 0.729 * [backup-simplify]: Simplify -1 into -1 0.729 * [taylor]: Taking taylor expansion of im in re 0.729 * [backup-simplify]: Simplify im into im 0.729 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.729 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.729 * [taylor]: Taking taylor expansion of -1 in re 0.729 * [backup-simplify]: Simplify -1 into -1 0.729 * [taylor]: Taking taylor expansion of im in re 0.729 * [backup-simplify]: Simplify im into im 0.729 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.729 * [backup-simplify]: Simplify (* -1 -1) into 1 0.730 * [backup-simplify]: Simplify (+ 1 0) into 1 0.730 * [backup-simplify]: Simplify (sqrt 1) into 1 0.738 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.739 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.740 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.740 * [backup-simplify]: Simplify (+ 0 0) into 0 0.741 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.741 * [backup-simplify]: Simplify (+ 1 1) into 2 0.742 * [backup-simplify]: Simplify (sqrt 0) into 0 0.743 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.744 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.744 * [taylor]: Taking taylor expansion of 0 in im 0.744 * [backup-simplify]: Simplify 0 into 0 0.746 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.746 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.746 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.746 * [taylor]: Taking taylor expansion of +nan.0 in im 0.746 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.746 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.746 * [taylor]: Taking taylor expansion of 2.0 in im 0.746 * [backup-simplify]: Simplify 2.0 into 2.0 0.746 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.747 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.747 * [backup-simplify]: Simplify 0 into 0 0.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.748 * [backup-simplify]: Simplify (+ 0 0) into 0 0.751 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.753 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.756 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.756 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.756 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.756 * [taylor]: Taking taylor expansion of +nan.0 in im 0.756 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.756 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.756 * [taylor]: Taking taylor expansion of 2.0 in im 0.756 * [backup-simplify]: Simplify 2.0 into 2.0 0.756 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.757 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.758 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.759 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.761 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.761 * [backup-simplify]: Simplify 0 into 0 0.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.763 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.764 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.764 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.765 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.765 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.766 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.766 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.768 * [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)) 0.769 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.771 * [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) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) 0.771 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.771 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.771 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.771 * [taylor]: Taking taylor expansion of +nan.0 in im 0.771 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.771 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.771 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.771 * [taylor]: Taking taylor expansion of 2.0 in im 0.771 * [backup-simplify]: Simplify 2.0 into 2.0 0.772 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.773 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.773 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.773 * [taylor]: Taking taylor expansion of im in im 0.773 * [backup-simplify]: Simplify 0 into 0 0.773 * [backup-simplify]: Simplify 1 into 1 0.773 * [backup-simplify]: Simplify (* 1 1) into 1 0.774 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.774 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.774 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.774 * [taylor]: Taking taylor expansion of +nan.0 in im 0.774 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.774 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.774 * [taylor]: Taking taylor expansion of 2.0 in im 0.774 * [backup-simplify]: Simplify 2.0 into 2.0 0.775 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.776 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.777 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.778 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.778 * [backup-simplify]: Simplify (+ 0 0) into 0 0.779 * [backup-simplify]: Simplify (- 0) into 0 0.779 * [backup-simplify]: Simplify 0 into 0 0.780 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.781 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.783 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.783 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.784 * [backup-simplify]: Simplify (- 0) into 0 0.784 * [backup-simplify]: Simplify 0 into 0 0.784 * [backup-simplify]: Simplify 0 into 0 0.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.786 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.787 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.788 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.788 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.788 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.789 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.789 * [backup-simplify]: Simplify (+ 0 0) into 0 0.790 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.790 * [backup-simplify]: Simplify (+ 0 0) into 0 0.791 * [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))) 0.793 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.795 * [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) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) 0.795 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.795 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.795 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.795 * [taylor]: Taking taylor expansion of +nan.0 in im 0.795 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.795 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.795 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.796 * [taylor]: Taking taylor expansion of 2.0 in im 0.796 * [backup-simplify]: Simplify 2.0 into 2.0 0.796 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.797 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.797 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.797 * [taylor]: Taking taylor expansion of im in im 0.797 * [backup-simplify]: Simplify 0 into 0 0.797 * [backup-simplify]: Simplify 1 into 1 0.797 * [backup-simplify]: Simplify (* 1 1) into 1 0.798 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.798 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.798 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.798 * [taylor]: Taking taylor expansion of +nan.0 in im 0.798 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.798 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.798 * [taylor]: Taking taylor expansion of 2.0 in im 0.798 * [backup-simplify]: Simplify 2.0 into 2.0 0.799 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.799 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.800 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.801 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.802 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.802 * [backup-simplify]: Simplify (+ 0 0) into 0 0.802 * [backup-simplify]: Simplify (- 0) into 0 0.802 * [backup-simplify]: Simplify 0 into 0 0.804 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.806 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.807 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.808 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.809 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.812 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.814 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.816 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.821 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 (- re))) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 (- re)))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0.821 * * * [progress]: simplifying candidates 0.823 * [simplify]: Simplifying: (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma 1 (hypot re im) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma 1 (hypot re im) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma 1 (hypot re im) (- (* re 1))) (fma (- re) 1 (* re 1)) (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (- re) (- re) (/ (exp (hypot re im)) (exp re)) (log (- (hypot re im) re)) (exp (- (hypot re im) re)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (- (pow (hypot re im) 3) (pow re 3)) (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))) (- re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- (hypot re im) re) (- re) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (expm1 (sqrt (* (- (hypot re im) re) 2.0))) (log1p (sqrt (* (- (hypot re im) re) 2.0))) (log (sqrt (* (- (hypot re im) re) 2.0))) (exp (sqrt (* (- (hypot re im) re) 2.0))) (* (cbrt (sqrt (* (- (hypot re im) re) 2.0))) (cbrt (sqrt (* (- (hypot re im) re) 2.0)))) (cbrt (sqrt (* (- (hypot re im) re) 2.0))) (* (* (sqrt (* (- (hypot re im) re) 2.0)) (sqrt (* (- (hypot re im) re) 2.0))) (sqrt (* (- (hypot re im) re) 2.0))) (sqrt (- (hypot re im) re)) (sqrt 2.0) (sqrt (* (- (pow (hypot re im) 3) (pow re 3)) 2.0)) (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))) (sqrt (* (- (* (hypot re im) (hypot re im)) (* re re)) 2.0)) (sqrt (+ (hypot re im) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* (- (hypot re im) re) 2.0))) (sqrt (sqrt (* (- (hypot re im) re) 2.0))) (- im re) 0 (* -2 re) im re (* -1 re) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) (* im re)))))))) 0 (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0.826 * * [simplify]: Extracting # 0 : cost 0 0.826 * * [simplify]: Extracting # 1 : cost 0 0.826 * * [simplify]: Extracting # 2 : cost 0 0.827 * * [simplify]: Extracting # 3 : cost 0 0.827 * * [simplify]: Extracting # 4 : cost 0 0.827 * * [simplify]: Extracting # 5 : cost 0 0.827 * * [simplify]: Extracting # 6 : cost 0 0.828 * * [simplify]: Extracting # 7 : cost 0 0.828 * * [simplify]: Extracting # 8 : cost 0 0.828 * * [simplify]: Extracting # 9 : cost 0 0.829 * * [simplify]: Extracting # 10 : cost 0 0.829 * * [simplify]: Extracting # 11 : cost 0 0.829 * * [simplify]: iteration 0 : 115 enodes (cost 686 ) 0.866 * * [simplify]: Extracting # 0 : cost 0 0.866 * * [simplify]: Extracting # 1 : cost 0 0.866 * * [simplify]: Extracting # 2 : cost 0 0.866 * * [simplify]: Extracting # 3 : cost 0 0.867 * * [simplify]: Extracting # 4 : cost 0 0.867 * * [simplify]: iteration 1 : 232 enodes (cost 572 ) 0.999 * * [simplify]: Extracting # 0 : cost 0 1.000 * * [simplify]: Extracting # 1 : cost 0 1.002 * * [simplify]: Extracting # 2 : cost 0 1.003 * * [simplify]: Extracting # 3 : cost 0 1.003 * * [simplify]: Extracting # 4 : cost 0 1.004 * * [simplify]: iteration 2 : 519 enodes (cost 489 ) 1.377 * * [simplify]: Extracting # 0 : cost 0 1.381 * * [simplify]: Extracting # 1 : cost 0 1.384 * * [simplify]: Extracting # 2 : cost 0 1.388 * * [simplify]: Extracting # 3 : cost 0 1.391 * * [simplify]: Extracting # 4 : cost 0 1.395 * * [simplify]: iteration 3 : 1765 enodes (cost 434 ) 3.713 * * [simplify]: Extracting # 0 : cost 0 3.725 * * [simplify]: Extracting # 1 : cost 0 3.736 * * [simplify]: Extracting # 2 : cost 0 3.755 * * [simplify]: Extracting # 3 : cost 0 3.766 * * [simplify]: Extracting # 4 : cost 0 3.775 * * [simplify]: iteration done: 5000 enodes (cost 423 ) 3.777 * [simplify]: Simplified to: (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (- re) (- re) (exp (- (hypot re im) re)) (log (- (hypot re im) re)) (exp (- (hypot re im) re)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (pow (- (hypot re im) re) 3) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (- (pow (hypot re im) 3) (pow re 3)) (fma re re (* (hypot re im) (+ (hypot re im) re))) (- re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- (hypot re im) re) (- re) (expm1 (hypot re im)) (log1p (hypot re im)) (fma re re (pow im 2)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (sqrt (hypot re im)) (sqrt (hypot re im)) (expm1 (sqrt (* (- (hypot re im) re) 2.0))) (log1p (sqrt (* (- (hypot re im) re) 2.0))) (log (sqrt (* (- (hypot re im) re) 2.0))) (exp (sqrt (* (- (hypot re im) re) 2.0))) (* (cbrt (sqrt (* (- (hypot re im) re) 2.0))) (cbrt (sqrt (* (- (hypot re im) re) 2.0)))) (cbrt (sqrt (* (- (hypot re im) re) 2.0))) (pow (sqrt (* (- (hypot re im) re) 2.0)) 3) (sqrt (- (hypot re im) re)) (sqrt 2.0) (sqrt (* (- (pow (hypot re im) 3) (pow re 3)) 2.0)) (sqrt (fma re re (* (hypot re im) (+ (hypot re im) re)))) (sqrt (* (- (* (hypot re im) (hypot re im)) (* re re)) 2.0)) (sqrt (+ (hypot re im) re)) 1/2 1/2 (sqrt (sqrt (* (- (hypot re im) re) 2.0))) (sqrt (sqrt (* (- (hypot re im) re) 2.0))) (- im re) 0 (* -2 re) im re (- re) (- (* (* (sqrt 2.0) +nan.0) (- (* im (+ re im)) im))) 0 (fma (sqrt 2.0) (- +nan.0) (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0))) 3.777 * * * [progress]: adding candidates to table 3.968 * * [progress]: iteration 2 / 4 3.968 * * * [progress]: picking best candidate 3.999 * * * * [pick]: Picked # 3.999 * * * [progress]: localizing error 4.013 * * * [progress]: generating rewritten candidates 4.013 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 4.028 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1) 4.042 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 2 1) 4.042 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 1 1) 4.045 * * * [progress]: generating series expansions 4.045 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 4.045 * [backup-simplify]: Simplify (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) into (- (hypot re im) re) 4.045 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 4.045 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 4.045 * [taylor]: Taking taylor expansion of (hypot re im) in im 4.045 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.045 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 4.045 * [taylor]: Taking taylor expansion of (* re re) in im 4.045 * [taylor]: Taking taylor expansion of re in im 4.045 * [backup-simplify]: Simplify re into re 4.045 * [taylor]: Taking taylor expansion of re in im 4.045 * [backup-simplify]: Simplify re into re 4.045 * [taylor]: Taking taylor expansion of (* im im) in im 4.045 * [taylor]: Taking taylor expansion of im in im 4.045 * [backup-simplify]: Simplify 0 into 0 4.045 * [backup-simplify]: Simplify 1 into 1 4.045 * [taylor]: Taking taylor expansion of im in im 4.045 * [backup-simplify]: Simplify 0 into 0 4.045 * [backup-simplify]: Simplify 1 into 1 4.045 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.046 * [backup-simplify]: Simplify (* 0 0) into 0 4.046 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 4.046 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 4.046 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 4.046 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.047 * [backup-simplify]: Simplify (+ 0 0) into 0 4.047 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 4.047 * [taylor]: Taking taylor expansion of re in im 4.047 * [backup-simplify]: Simplify re into re 4.047 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 4.047 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.047 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.047 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.047 * [taylor]: Taking taylor expansion of (* re re) in re 4.047 * [taylor]: Taking taylor expansion of re in re 4.047 * [backup-simplify]: Simplify 0 into 0 4.047 * [backup-simplify]: Simplify 1 into 1 4.047 * [taylor]: Taking taylor expansion of re in re 4.047 * [backup-simplify]: Simplify 0 into 0 4.047 * [backup-simplify]: Simplify 1 into 1 4.047 * [taylor]: Taking taylor expansion of (* im im) in re 4.047 * [taylor]: Taking taylor expansion of im in re 4.047 * [backup-simplify]: Simplify im into im 4.047 * [taylor]: Taking taylor expansion of im in re 4.047 * [backup-simplify]: Simplify im into im 4.047 * [backup-simplify]: Simplify (* 0 0) into 0 4.047 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.048 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.048 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.048 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.048 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.048 * [backup-simplify]: Simplify (+ 0 0) into 0 4.048 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.048 * [taylor]: Taking taylor expansion of re in re 4.048 * [backup-simplify]: Simplify 0 into 0 4.048 * [backup-simplify]: Simplify 1 into 1 4.049 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 4.049 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.049 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.049 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.049 * [taylor]: Taking taylor expansion of (* re re) in re 4.049 * [taylor]: Taking taylor expansion of re in re 4.049 * [backup-simplify]: Simplify 0 into 0 4.049 * [backup-simplify]: Simplify 1 into 1 4.049 * [taylor]: Taking taylor expansion of re in re 4.049 * [backup-simplify]: Simplify 0 into 0 4.049 * [backup-simplify]: Simplify 1 into 1 4.049 * [taylor]: Taking taylor expansion of (* im im) in re 4.049 * [taylor]: Taking taylor expansion of im in re 4.049 * [backup-simplify]: Simplify im into im 4.049 * [taylor]: Taking taylor expansion of im in re 4.049 * [backup-simplify]: Simplify im into im 4.049 * [backup-simplify]: Simplify (* 0 0) into 0 4.049 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.049 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.049 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.050 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.050 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.050 * [backup-simplify]: Simplify (+ 0 0) into 0 4.050 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.050 * [taylor]: Taking taylor expansion of re in re 4.050 * [backup-simplify]: Simplify 0 into 0 4.050 * [backup-simplify]: Simplify 1 into 1 4.050 * [backup-simplify]: Simplify (- 0) into 0 4.050 * [backup-simplify]: Simplify (+ im 0) into im 4.050 * [taylor]: Taking taylor expansion of im in im 4.050 * [backup-simplify]: Simplify 0 into 0 4.050 * [backup-simplify]: Simplify 1 into 1 4.050 * [backup-simplify]: Simplify 0 into 0 4.051 * [backup-simplify]: Simplify (- 1) into -1 4.051 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.051 * [taylor]: Taking taylor expansion of -1 in im 4.051 * [backup-simplify]: Simplify -1 into -1 4.051 * [backup-simplify]: Simplify -1 into -1 4.051 * [backup-simplify]: Simplify 1 into 1 4.052 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 4.052 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 4.052 * [backup-simplify]: Simplify (+ 1 0) into 1 4.053 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 4.053 * [backup-simplify]: Simplify (- 0) into 0 4.053 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 4.053 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 4.053 * [taylor]: Taking taylor expansion of 1/2 in im 4.053 * [backup-simplify]: Simplify 1/2 into 1/2 4.053 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.053 * [taylor]: Taking taylor expansion of im in im 4.053 * [backup-simplify]: Simplify 0 into 0 4.053 * [backup-simplify]: Simplify 1 into 1 4.053 * [backup-simplify]: Simplify (/ 1 1) into 1 4.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.054 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.054 * [backup-simplify]: Simplify 0 into 0 4.054 * [backup-simplify]: Simplify 0 into 0 4.054 * [backup-simplify]: Simplify 0 into 0 4.055 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 4.055 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 4.056 * [backup-simplify]: Simplify (+ 0 0) into 0 4.056 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 4.056 * [backup-simplify]: Simplify (- 0) into 0 4.057 * [backup-simplify]: Simplify (+ 0 0) into 0 4.057 * [taylor]: Taking taylor expansion of 0 in im 4.057 * [backup-simplify]: Simplify 0 into 0 4.057 * [backup-simplify]: Simplify 0 into 0 4.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.058 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.059 * [backup-simplify]: Simplify 0 into 0 4.059 * [backup-simplify]: Simplify 0 into 0 4.059 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 4.059 * [backup-simplify]: Simplify (- (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) into (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 4.059 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 4.059 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 4.059 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 4.059 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.059 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 4.060 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 4.060 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.060 * [taylor]: Taking taylor expansion of re in im 4.060 * [backup-simplify]: Simplify re into re 4.060 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.060 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.060 * [taylor]: Taking taylor expansion of re in im 4.060 * [backup-simplify]: Simplify re into re 4.060 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.060 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 4.060 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.060 * [taylor]: Taking taylor expansion of im in im 4.060 * [backup-simplify]: Simplify 0 into 0 4.060 * [backup-simplify]: Simplify 1 into 1 4.060 * [backup-simplify]: Simplify (/ 1 1) into 1 4.060 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.060 * [taylor]: Taking taylor expansion of im in im 4.060 * [backup-simplify]: Simplify 0 into 0 4.060 * [backup-simplify]: Simplify 1 into 1 4.061 * [backup-simplify]: Simplify (/ 1 1) into 1 4.061 * [backup-simplify]: Simplify (* 1 1) into 1 4.062 * [backup-simplify]: Simplify (+ 0 1) into 1 4.062 * [backup-simplify]: Simplify (sqrt 1) into 1 4.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.064 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.065 * [backup-simplify]: Simplify (+ 0 0) into 0 4.065 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.065 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.065 * [taylor]: Taking taylor expansion of re in im 4.066 * [backup-simplify]: Simplify re into re 4.066 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.066 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 4.066 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 4.066 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.066 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 4.066 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 4.066 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.066 * [taylor]: Taking taylor expansion of re in re 4.066 * [backup-simplify]: Simplify 0 into 0 4.066 * [backup-simplify]: Simplify 1 into 1 4.066 * [backup-simplify]: Simplify (/ 1 1) into 1 4.066 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.066 * [taylor]: Taking taylor expansion of re in re 4.067 * [backup-simplify]: Simplify 0 into 0 4.067 * [backup-simplify]: Simplify 1 into 1 4.067 * [backup-simplify]: Simplify (/ 1 1) into 1 4.067 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 4.067 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.067 * [taylor]: Taking taylor expansion of im in re 4.067 * [backup-simplify]: Simplify im into im 4.067 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.067 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.067 * [taylor]: Taking taylor expansion of im in re 4.067 * [backup-simplify]: Simplify im into im 4.067 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.068 * [backup-simplify]: Simplify (* 1 1) into 1 4.068 * [backup-simplify]: Simplify (+ 1 0) into 1 4.068 * [backup-simplify]: Simplify (sqrt 1) into 1 4.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.071 * [backup-simplify]: Simplify (+ 0 0) into 0 4.072 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.072 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.072 * [taylor]: Taking taylor expansion of re in re 4.072 * [backup-simplify]: Simplify 0 into 0 4.072 * [backup-simplify]: Simplify 1 into 1 4.072 * [backup-simplify]: Simplify (/ 1 1) into 1 4.072 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 4.072 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 4.073 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.073 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 4.073 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 4.073 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.073 * [taylor]: Taking taylor expansion of re in re 4.073 * [backup-simplify]: Simplify 0 into 0 4.073 * [backup-simplify]: Simplify 1 into 1 4.073 * [backup-simplify]: Simplify (/ 1 1) into 1 4.073 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.073 * [taylor]: Taking taylor expansion of re in re 4.073 * [backup-simplify]: Simplify 0 into 0 4.073 * [backup-simplify]: Simplify 1 into 1 4.074 * [backup-simplify]: Simplify (/ 1 1) into 1 4.074 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 4.074 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.074 * [taylor]: Taking taylor expansion of im in re 4.074 * [backup-simplify]: Simplify im into im 4.074 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.074 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.074 * [taylor]: Taking taylor expansion of im in re 4.074 * [backup-simplify]: Simplify im into im 4.074 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.074 * [backup-simplify]: Simplify (* 1 1) into 1 4.075 * [backup-simplify]: Simplify (+ 1 0) into 1 4.075 * [backup-simplify]: Simplify (sqrt 1) into 1 4.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.089 * [backup-simplify]: Simplify (+ 0 0) into 0 4.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.089 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.089 * [taylor]: Taking taylor expansion of re in re 4.089 * [backup-simplify]: Simplify 0 into 0 4.089 * [backup-simplify]: Simplify 1 into 1 4.090 * [backup-simplify]: Simplify (/ 1 1) into 1 4.090 * [backup-simplify]: Simplify (- 1) into -1 4.091 * [backup-simplify]: Simplify (+ 1 -1) into 0 4.091 * [taylor]: Taking taylor expansion of 0 in im 4.091 * [backup-simplify]: Simplify 0 into 0 4.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.092 * [backup-simplify]: Simplify (- 0) into 0 4.092 * [backup-simplify]: Simplify (+ 0 0) into 0 4.092 * [taylor]: Taking taylor expansion of 0 in im 4.092 * [backup-simplify]: Simplify 0 into 0 4.092 * [backup-simplify]: Simplify 0 into 0 4.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.095 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 4.095 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.097 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.098 * [backup-simplify]: Simplify (- 0) into 0 4.098 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 4.098 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 4.098 * [taylor]: Taking taylor expansion of 1/2 in im 4.098 * [backup-simplify]: Simplify 1/2 into 1/2 4.098 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.098 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.098 * [taylor]: Taking taylor expansion of im in im 4.098 * [backup-simplify]: Simplify 0 into 0 4.099 * [backup-simplify]: Simplify 1 into 1 4.099 * [backup-simplify]: Simplify (* 1 1) into 1 4.099 * [backup-simplify]: Simplify (/ 1 1) into 1 4.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.101 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.101 * [backup-simplify]: Simplify 0 into 0 4.101 * [backup-simplify]: Simplify 0 into 0 4.101 * [backup-simplify]: Simplify 0 into 0 4.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.104 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 4.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 4.105 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 4.105 * [backup-simplify]: Simplify (+ 0 0) into 0 4.106 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.107 * [backup-simplify]: Simplify (- 0) into 0 4.107 * [backup-simplify]: Simplify (+ 0 0) into 0 4.107 * [taylor]: Taking taylor expansion of 0 in im 4.107 * [backup-simplify]: Simplify 0 into 0 4.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.110 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.110 * [backup-simplify]: Simplify 0 into 0 4.110 * [backup-simplify]: Simplify 0 into 0 4.110 * [backup-simplify]: Simplify 0 into 0 4.111 * [backup-simplify]: Simplify (- (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (/ 1 (- re))) into (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 4.111 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 4.111 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 4.111 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.111 * [taylor]: Taking taylor expansion of re in im 4.111 * [backup-simplify]: Simplify re into re 4.111 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.111 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 4.111 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.111 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 4.111 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 4.111 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.111 * [taylor]: Taking taylor expansion of -1 in im 4.111 * [backup-simplify]: Simplify -1 into -1 4.111 * [taylor]: Taking taylor expansion of re in im 4.111 * [backup-simplify]: Simplify re into re 4.112 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 4.112 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.112 * [taylor]: Taking taylor expansion of -1 in im 4.112 * [backup-simplify]: Simplify -1 into -1 4.112 * [taylor]: Taking taylor expansion of re in im 4.112 * [backup-simplify]: Simplify re into re 4.112 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 4.112 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 4.112 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.112 * [taylor]: Taking taylor expansion of -1 in im 4.112 * [backup-simplify]: Simplify -1 into -1 4.112 * [taylor]: Taking taylor expansion of im in im 4.112 * [backup-simplify]: Simplify 0 into 0 4.112 * [backup-simplify]: Simplify 1 into 1 4.112 * [backup-simplify]: Simplify (/ -1 1) into -1 4.112 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.112 * [taylor]: Taking taylor expansion of -1 in im 4.113 * [backup-simplify]: Simplify -1 into -1 4.113 * [taylor]: Taking taylor expansion of im in im 4.113 * [backup-simplify]: Simplify 0 into 0 4.113 * [backup-simplify]: Simplify 1 into 1 4.113 * [backup-simplify]: Simplify (/ -1 1) into -1 4.113 * [backup-simplify]: Simplify (* -1 -1) into 1 4.114 * [backup-simplify]: Simplify (+ 0 1) into 1 4.114 * [backup-simplify]: Simplify (sqrt 1) into 1 4.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.116 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.117 * [backup-simplify]: Simplify (+ 0 0) into 0 4.117 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.118 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 4.118 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.118 * [taylor]: Taking taylor expansion of re in re 4.118 * [backup-simplify]: Simplify 0 into 0 4.118 * [backup-simplify]: Simplify 1 into 1 4.118 * [backup-simplify]: Simplify (/ 1 1) into 1 4.118 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 4.118 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.118 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 4.118 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 4.118 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.118 * [taylor]: Taking taylor expansion of -1 in re 4.118 * [backup-simplify]: Simplify -1 into -1 4.118 * [taylor]: Taking taylor expansion of re in re 4.118 * [backup-simplify]: Simplify 0 into 0 4.118 * [backup-simplify]: Simplify 1 into 1 4.119 * [backup-simplify]: Simplify (/ -1 1) into -1 4.119 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.119 * [taylor]: Taking taylor expansion of -1 in re 4.119 * [backup-simplify]: Simplify -1 into -1 4.119 * [taylor]: Taking taylor expansion of re in re 4.119 * [backup-simplify]: Simplify 0 into 0 4.119 * [backup-simplify]: Simplify 1 into 1 4.120 * [backup-simplify]: Simplify (/ -1 1) into -1 4.120 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 4.120 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.120 * [taylor]: Taking taylor expansion of -1 in re 4.120 * [backup-simplify]: Simplify -1 into -1 4.120 * [taylor]: Taking taylor expansion of im in re 4.120 * [backup-simplify]: Simplify im into im 4.120 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.120 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.120 * [taylor]: Taking taylor expansion of -1 in re 4.120 * [backup-simplify]: Simplify -1 into -1 4.120 * [taylor]: Taking taylor expansion of im in re 4.120 * [backup-simplify]: Simplify im into im 4.120 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.120 * [backup-simplify]: Simplify (* -1 -1) into 1 4.121 * [backup-simplify]: Simplify (+ 1 0) into 1 4.121 * [backup-simplify]: Simplify (sqrt 1) into 1 4.122 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.123 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.123 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.124 * [backup-simplify]: Simplify (+ 0 0) into 0 4.124 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.124 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 4.124 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.124 * [taylor]: Taking taylor expansion of re in re 4.125 * [backup-simplify]: Simplify 0 into 0 4.125 * [backup-simplify]: Simplify 1 into 1 4.125 * [backup-simplify]: Simplify (/ 1 1) into 1 4.125 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 4.125 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.125 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 4.125 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 4.125 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.125 * [taylor]: Taking taylor expansion of -1 in re 4.125 * [backup-simplify]: Simplify -1 into -1 4.125 * [taylor]: Taking taylor expansion of re in re 4.125 * [backup-simplify]: Simplify 0 into 0 4.125 * [backup-simplify]: Simplify 1 into 1 4.126 * [backup-simplify]: Simplify (/ -1 1) into -1 4.126 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.126 * [taylor]: Taking taylor expansion of -1 in re 4.126 * [backup-simplify]: Simplify -1 into -1 4.126 * [taylor]: Taking taylor expansion of re in re 4.126 * [backup-simplify]: Simplify 0 into 0 4.126 * [backup-simplify]: Simplify 1 into 1 4.126 * [backup-simplify]: Simplify (/ -1 1) into -1 4.126 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 4.126 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.126 * [taylor]: Taking taylor expansion of -1 in re 4.126 * [backup-simplify]: Simplify -1 into -1 4.127 * [taylor]: Taking taylor expansion of im in re 4.127 * [backup-simplify]: Simplify im into im 4.127 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.127 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.127 * [taylor]: Taking taylor expansion of -1 in re 4.127 * [backup-simplify]: Simplify -1 into -1 4.127 * [taylor]: Taking taylor expansion of im in re 4.127 * [backup-simplify]: Simplify im into im 4.127 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.127 * [backup-simplify]: Simplify (* -1 -1) into 1 4.127 * [backup-simplify]: Simplify (+ 1 0) into 1 4.128 * [backup-simplify]: Simplify (sqrt 1) into 1 4.128 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.129 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.129 * [backup-simplify]: Simplify (+ 0 0) into 0 4.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.130 * [backup-simplify]: Simplify (+ 1 1) into 2 4.130 * [taylor]: Taking taylor expansion of 2 in im 4.130 * [backup-simplify]: Simplify 2 into 2 4.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.131 * [backup-simplify]: Simplify (+ 0 0) into 0 4.131 * [taylor]: Taking taylor expansion of 0 in im 4.131 * [backup-simplify]: Simplify 0 into 0 4.131 * [backup-simplify]: Simplify 2 into 2 4.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.133 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 4.133 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 4.133 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.134 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.134 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 4.134 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 4.134 * [taylor]: Taking taylor expansion of 1/2 in im 4.134 * [backup-simplify]: Simplify 1/2 into 1/2 4.134 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.134 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.134 * [taylor]: Taking taylor expansion of im in im 4.134 * [backup-simplify]: Simplify 0 into 0 4.134 * [backup-simplify]: Simplify 1 into 1 4.134 * [backup-simplify]: Simplify (* 1 1) into 1 4.135 * [backup-simplify]: Simplify (/ 1 1) into 1 4.135 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.136 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.136 * [backup-simplify]: Simplify 0 into 0 4.136 * [backup-simplify]: Simplify 0 into 0 4.136 * [backup-simplify]: Simplify 0 into 0 4.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.138 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 4.138 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 4.139 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 4.139 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 4.139 * [backup-simplify]: Simplify (+ 0 0) into 0 4.140 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.140 * [backup-simplify]: Simplify (+ 0 0) into 0 4.140 * [taylor]: Taking taylor expansion of 0 in im 4.140 * [backup-simplify]: Simplify 0 into 0 4.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.143 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.143 * [backup-simplify]: Simplify 0 into 0 4.143 * [backup-simplify]: Simplify 0 into 0 4.143 * [backup-simplify]: Simplify 0 into 0 4.143 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 4.143 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1) 4.144 * [backup-simplify]: Simplify (* (sqrt (hypot re im)) (sqrt (hypot re im))) into (hypot re im) 4.144 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 4.144 * [taylor]: Taking taylor expansion of (hypot re im) in im 4.144 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.144 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 4.144 * [taylor]: Taking taylor expansion of (* re re) in im 4.144 * [taylor]: Taking taylor expansion of re in im 4.144 * [backup-simplify]: Simplify re into re 4.144 * [taylor]: Taking taylor expansion of re in im 4.144 * [backup-simplify]: Simplify re into re 4.144 * [taylor]: Taking taylor expansion of (* im im) in im 4.144 * [taylor]: Taking taylor expansion of im in im 4.144 * [backup-simplify]: Simplify 0 into 0 4.144 * [backup-simplify]: Simplify 1 into 1 4.144 * [taylor]: Taking taylor expansion of im in im 4.144 * [backup-simplify]: Simplify 0 into 0 4.144 * [backup-simplify]: Simplify 1 into 1 4.144 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.145 * [backup-simplify]: Simplify (* 0 0) into 0 4.145 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 4.145 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 4.145 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 4.146 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.146 * [backup-simplify]: Simplify (+ 0 0) into 0 4.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 4.146 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.146 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.147 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.147 * [taylor]: Taking taylor expansion of (* re re) in re 4.147 * [taylor]: Taking taylor expansion of re in re 4.147 * [backup-simplify]: Simplify 0 into 0 4.147 * [backup-simplify]: Simplify 1 into 1 4.147 * [taylor]: Taking taylor expansion of re in re 4.147 * [backup-simplify]: Simplify 0 into 0 4.147 * [backup-simplify]: Simplify 1 into 1 4.147 * [taylor]: Taking taylor expansion of (* im im) in re 4.147 * [taylor]: Taking taylor expansion of im in re 4.147 * [backup-simplify]: Simplify im into im 4.147 * [taylor]: Taking taylor expansion of im in re 4.147 * [backup-simplify]: Simplify im into im 4.147 * [backup-simplify]: Simplify (* 0 0) into 0 4.147 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.147 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.148 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.148 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.148 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.149 * [backup-simplify]: Simplify (+ 0 0) into 0 4.149 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.149 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.149 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.149 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.149 * [taylor]: Taking taylor expansion of (* re re) in re 4.149 * [taylor]: Taking taylor expansion of re in re 4.149 * [backup-simplify]: Simplify 0 into 0 4.149 * [backup-simplify]: Simplify 1 into 1 4.149 * [taylor]: Taking taylor expansion of re in re 4.149 * [backup-simplify]: Simplify 0 into 0 4.149 * [backup-simplify]: Simplify 1 into 1 4.149 * [taylor]: Taking taylor expansion of (* im im) in re 4.149 * [taylor]: Taking taylor expansion of im in re 4.149 * [backup-simplify]: Simplify im into im 4.149 * [taylor]: Taking taylor expansion of im in re 4.149 * [backup-simplify]: Simplify im into im 4.150 * [backup-simplify]: Simplify (* 0 0) into 0 4.150 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.150 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.150 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.151 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.151 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.151 * [backup-simplify]: Simplify (+ 0 0) into 0 4.151 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.151 * [taylor]: Taking taylor expansion of im in im 4.151 * [backup-simplify]: Simplify 0 into 0 4.152 * [backup-simplify]: Simplify 1 into 1 4.152 * [backup-simplify]: Simplify 0 into 0 4.152 * [taylor]: Taking taylor expansion of 0 in im 4.152 * [backup-simplify]: Simplify 0 into 0 4.152 * [backup-simplify]: Simplify 0 into 0 4.152 * [backup-simplify]: Simplify 1 into 1 4.152 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 4.153 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 4.153 * [backup-simplify]: Simplify (+ 1 0) into 1 4.154 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 4.154 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 4.154 * [taylor]: Taking taylor expansion of 1/2 in im 4.154 * [backup-simplify]: Simplify 1/2 into 1/2 4.154 * [taylor]: Taking taylor expansion of im in im 4.154 * [backup-simplify]: Simplify 0 into 0 4.154 * [backup-simplify]: Simplify 1 into 1 4.155 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.156 * [backup-simplify]: Simplify 0 into 0 4.156 * [backup-simplify]: Simplify 0 into 0 4.156 * [backup-simplify]: Simplify 0 into 0 4.157 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 4.157 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 4.158 * [backup-simplify]: Simplify (+ 0 0) into 0 4.158 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 4.158 * [taylor]: Taking taylor expansion of 0 in im 4.158 * [backup-simplify]: Simplify 0 into 0 4.158 * [backup-simplify]: Simplify 0 into 0 4.159 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.159 * [backup-simplify]: Simplify 0 into 0 4.159 * [backup-simplify]: Simplify 0 into 0 4.159 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 4.160 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) into (hypot (/ 1 re) (/ 1 im)) 4.160 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 4.160 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 4.160 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.160 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 4.160 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 4.160 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.160 * [taylor]: Taking taylor expansion of re in im 4.160 * [backup-simplify]: Simplify re into re 4.160 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.160 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.160 * [taylor]: Taking taylor expansion of re in im 4.160 * [backup-simplify]: Simplify re into re 4.160 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.160 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 4.160 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.160 * [taylor]: Taking taylor expansion of im in im 4.160 * [backup-simplify]: Simplify 0 into 0 4.160 * [backup-simplify]: Simplify 1 into 1 4.161 * [backup-simplify]: Simplify (/ 1 1) into 1 4.161 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.161 * [taylor]: Taking taylor expansion of im in im 4.161 * [backup-simplify]: Simplify 0 into 0 4.161 * [backup-simplify]: Simplify 1 into 1 4.161 * [backup-simplify]: Simplify (/ 1 1) into 1 4.162 * [backup-simplify]: Simplify (* 1 1) into 1 4.162 * [backup-simplify]: Simplify (+ 0 1) into 1 4.162 * [backup-simplify]: Simplify (sqrt 1) into 1 4.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.165 * [backup-simplify]: Simplify (+ 0 0) into 0 4.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.166 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 4.166 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.166 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 4.166 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 4.167 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.167 * [taylor]: Taking taylor expansion of re in re 4.167 * [backup-simplify]: Simplify 0 into 0 4.167 * [backup-simplify]: Simplify 1 into 1 4.167 * [backup-simplify]: Simplify (/ 1 1) into 1 4.167 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.167 * [taylor]: Taking taylor expansion of re in re 4.167 * [backup-simplify]: Simplify 0 into 0 4.167 * [backup-simplify]: Simplify 1 into 1 4.168 * [backup-simplify]: Simplify (/ 1 1) into 1 4.168 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 4.168 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.168 * [taylor]: Taking taylor expansion of im in re 4.168 * [backup-simplify]: Simplify im into im 4.168 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.168 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.168 * [taylor]: Taking taylor expansion of im in re 4.168 * [backup-simplify]: Simplify im into im 4.168 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.169 * [backup-simplify]: Simplify (* 1 1) into 1 4.169 * [backup-simplify]: Simplify (+ 1 0) into 1 4.169 * [backup-simplify]: Simplify (sqrt 1) into 1 4.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.172 * [backup-simplify]: Simplify (+ 0 0) into 0 4.173 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.173 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 4.173 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.173 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 4.173 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 4.173 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.173 * [taylor]: Taking taylor expansion of re in re 4.173 * [backup-simplify]: Simplify 0 into 0 4.173 * [backup-simplify]: Simplify 1 into 1 4.174 * [backup-simplify]: Simplify (/ 1 1) into 1 4.174 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.174 * [taylor]: Taking taylor expansion of re in re 4.174 * [backup-simplify]: Simplify 0 into 0 4.174 * [backup-simplify]: Simplify 1 into 1 4.174 * [backup-simplify]: Simplify (/ 1 1) into 1 4.174 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 4.174 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.174 * [taylor]: Taking taylor expansion of im in re 4.174 * [backup-simplify]: Simplify im into im 4.174 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.174 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.174 * [taylor]: Taking taylor expansion of im in re 4.175 * [backup-simplify]: Simplify im into im 4.175 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.175 * [backup-simplify]: Simplify (* 1 1) into 1 4.175 * [backup-simplify]: Simplify (+ 1 0) into 1 4.176 * [backup-simplify]: Simplify (sqrt 1) into 1 4.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.178 * [backup-simplify]: Simplify (+ 0 0) into 0 4.179 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.179 * [taylor]: Taking taylor expansion of 1 in im 4.179 * [backup-simplify]: Simplify 1 into 1 4.179 * [taylor]: Taking taylor expansion of 0 in im 4.180 * [backup-simplify]: Simplify 0 into 0 4.180 * [backup-simplify]: Simplify 1 into 1 4.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.183 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 4.183 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.184 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.184 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 4.184 * [taylor]: Taking taylor expansion of 1/2 in im 4.184 * [backup-simplify]: Simplify 1/2 into 1/2 4.184 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.184 * [taylor]: Taking taylor expansion of im in im 4.184 * [backup-simplify]: Simplify 0 into 0 4.185 * [backup-simplify]: Simplify 1 into 1 4.185 * [backup-simplify]: Simplify (* 1 1) into 1 4.185 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.187 * [backup-simplify]: Simplify 0 into 0 4.187 * [backup-simplify]: Simplify 0 into 0 4.187 * [backup-simplify]: Simplify 0 into 0 4.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.191 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 4.191 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 4.191 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 4.192 * [backup-simplify]: Simplify (+ 0 0) into 0 4.192 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.192 * [taylor]: Taking taylor expansion of 0 in im 4.193 * [backup-simplify]: Simplify 0 into 0 4.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.194 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.194 * [backup-simplify]: Simplify 0 into 0 4.194 * [backup-simplify]: Simplify 0 into 0 4.194 * [backup-simplify]: Simplify 0 into 0 4.194 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 4.195 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) into (hypot (/ -1 re) (/ -1 im)) 4.195 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 4.195 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 4.195 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.195 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 4.195 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 4.195 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.195 * [taylor]: Taking taylor expansion of -1 in im 4.195 * [backup-simplify]: Simplify -1 into -1 4.195 * [taylor]: Taking taylor expansion of re in im 4.195 * [backup-simplify]: Simplify re into re 4.195 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 4.195 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.195 * [taylor]: Taking taylor expansion of -1 in im 4.195 * [backup-simplify]: Simplify -1 into -1 4.195 * [taylor]: Taking taylor expansion of re in im 4.195 * [backup-simplify]: Simplify re into re 4.195 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 4.195 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 4.196 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.196 * [taylor]: Taking taylor expansion of -1 in im 4.196 * [backup-simplify]: Simplify -1 into -1 4.196 * [taylor]: Taking taylor expansion of im in im 4.196 * [backup-simplify]: Simplify 0 into 0 4.196 * [backup-simplify]: Simplify 1 into 1 4.196 * [backup-simplify]: Simplify (/ -1 1) into -1 4.196 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.196 * [taylor]: Taking taylor expansion of -1 in im 4.196 * [backup-simplify]: Simplify -1 into -1 4.196 * [taylor]: Taking taylor expansion of im in im 4.196 * [backup-simplify]: Simplify 0 into 0 4.196 * [backup-simplify]: Simplify 1 into 1 4.197 * [backup-simplify]: Simplify (/ -1 1) into -1 4.197 * [backup-simplify]: Simplify (* -1 -1) into 1 4.197 * [backup-simplify]: Simplify (+ 0 1) into 1 4.198 * [backup-simplify]: Simplify (sqrt 1) into 1 4.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.199 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.200 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.201 * [backup-simplify]: Simplify (+ 0 0) into 0 4.201 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.201 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 4.201 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.202 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 4.202 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 4.202 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.202 * [taylor]: Taking taylor expansion of -1 in re 4.202 * [backup-simplify]: Simplify -1 into -1 4.202 * [taylor]: Taking taylor expansion of re in re 4.202 * [backup-simplify]: Simplify 0 into 0 4.202 * [backup-simplify]: Simplify 1 into 1 4.202 * [backup-simplify]: Simplify (/ -1 1) into -1 4.202 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.202 * [taylor]: Taking taylor expansion of -1 in re 4.202 * [backup-simplify]: Simplify -1 into -1 4.202 * [taylor]: Taking taylor expansion of re in re 4.202 * [backup-simplify]: Simplify 0 into 0 4.202 * [backup-simplify]: Simplify 1 into 1 4.203 * [backup-simplify]: Simplify (/ -1 1) into -1 4.203 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 4.203 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.203 * [taylor]: Taking taylor expansion of -1 in re 4.203 * [backup-simplify]: Simplify -1 into -1 4.203 * [taylor]: Taking taylor expansion of im in re 4.203 * [backup-simplify]: Simplify im into im 4.203 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.203 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.203 * [taylor]: Taking taylor expansion of -1 in re 4.203 * [backup-simplify]: Simplify -1 into -1 4.203 * [taylor]: Taking taylor expansion of im in re 4.203 * [backup-simplify]: Simplify im into im 4.203 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.203 * [backup-simplify]: Simplify (* -1 -1) into 1 4.204 * [backup-simplify]: Simplify (+ 1 0) into 1 4.204 * [backup-simplify]: Simplify (sqrt 1) into 1 4.205 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.206 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.207 * [backup-simplify]: Simplify (+ 0 0) into 0 4.207 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.207 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 4.207 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.207 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 4.207 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 4.208 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.208 * [taylor]: Taking taylor expansion of -1 in re 4.208 * [backup-simplify]: Simplify -1 into -1 4.208 * [taylor]: Taking taylor expansion of re in re 4.208 * [backup-simplify]: Simplify 0 into 0 4.208 * [backup-simplify]: Simplify 1 into 1 4.208 * [backup-simplify]: Simplify (/ -1 1) into -1 4.208 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.208 * [taylor]: Taking taylor expansion of -1 in re 4.208 * [backup-simplify]: Simplify -1 into -1 4.208 * [taylor]: Taking taylor expansion of re in re 4.208 * [backup-simplify]: Simplify 0 into 0 4.208 * [backup-simplify]: Simplify 1 into 1 4.209 * [backup-simplify]: Simplify (/ -1 1) into -1 4.209 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 4.209 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.209 * [taylor]: Taking taylor expansion of -1 in re 4.209 * [backup-simplify]: Simplify -1 into -1 4.209 * [taylor]: Taking taylor expansion of im in re 4.209 * [backup-simplify]: Simplify im into im 4.209 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.209 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.209 * [taylor]: Taking taylor expansion of -1 in re 4.209 * [backup-simplify]: Simplify -1 into -1 4.209 * [taylor]: Taking taylor expansion of im in re 4.209 * [backup-simplify]: Simplify im into im 4.209 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.209 * [backup-simplify]: Simplify (* -1 -1) into 1 4.210 * [backup-simplify]: Simplify (+ 1 0) into 1 4.210 * [backup-simplify]: Simplify (sqrt 1) into 1 4.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.212 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.212 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.213 * [backup-simplify]: Simplify (+ 0 0) into 0 4.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.214 * [taylor]: Taking taylor expansion of 1 in im 4.214 * [backup-simplify]: Simplify 1 into 1 4.214 * [taylor]: Taking taylor expansion of 0 in im 4.214 * [backup-simplify]: Simplify 0 into 0 4.214 * [backup-simplify]: Simplify 1 into 1 4.215 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.216 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.217 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 4.217 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 4.217 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.218 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.218 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 4.218 * [taylor]: Taking taylor expansion of 1/2 in im 4.219 * [backup-simplify]: Simplify 1/2 into 1/2 4.219 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.219 * [taylor]: Taking taylor expansion of im in im 4.219 * [backup-simplify]: Simplify 0 into 0 4.219 * [backup-simplify]: Simplify 1 into 1 4.219 * [backup-simplify]: Simplify (* 1 1) into 1 4.219 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.220 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.221 * [backup-simplify]: Simplify 0 into 0 4.221 * [backup-simplify]: Simplify 0 into 0 4.221 * [backup-simplify]: Simplify 0 into 0 4.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.224 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 4.224 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 4.224 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 4.224 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 4.225 * [backup-simplify]: Simplify (+ 0 0) into 0 4.226 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.226 * [taylor]: Taking taylor expansion of 0 in im 4.226 * [backup-simplify]: Simplify 0 into 0 4.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.227 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.228 * [backup-simplify]: Simplify 0 into 0 4.228 * [backup-simplify]: Simplify 0 into 0 4.228 * [backup-simplify]: Simplify 0 into 0 4.228 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 4.228 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 2 1) 4.228 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 4.228 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 4.228 * [taylor]: Taking taylor expansion of (hypot re im) in im 4.228 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.228 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 4.228 * [taylor]: Taking taylor expansion of (* re re) in im 4.228 * [taylor]: Taking taylor expansion of re in im 4.228 * [backup-simplify]: Simplify re into re 4.228 * [taylor]: Taking taylor expansion of re in im 4.228 * [backup-simplify]: Simplify re into re 4.228 * [taylor]: Taking taylor expansion of (* im im) in im 4.228 * [taylor]: Taking taylor expansion of im in im 4.228 * [backup-simplify]: Simplify 0 into 0 4.228 * [backup-simplify]: Simplify 1 into 1 4.229 * [taylor]: Taking taylor expansion of im in im 4.229 * [backup-simplify]: Simplify 0 into 0 4.229 * [backup-simplify]: Simplify 1 into 1 4.229 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.229 * [backup-simplify]: Simplify (* 0 0) into 0 4.229 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 4.229 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 4.229 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 4.237 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.237 * [backup-simplify]: Simplify (+ 0 0) into 0 4.238 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 4.238 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.238 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.238 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.238 * [taylor]: Taking taylor expansion of (* re re) in re 4.238 * [taylor]: Taking taylor expansion of re in re 4.238 * [backup-simplify]: Simplify 0 into 0 4.238 * [backup-simplify]: Simplify 1 into 1 4.238 * [taylor]: Taking taylor expansion of re in re 4.238 * [backup-simplify]: Simplify 0 into 0 4.238 * [backup-simplify]: Simplify 1 into 1 4.238 * [taylor]: Taking taylor expansion of (* im im) in re 4.238 * [taylor]: Taking taylor expansion of im in re 4.238 * [backup-simplify]: Simplify im into im 4.238 * [taylor]: Taking taylor expansion of im in re 4.238 * [backup-simplify]: Simplify im into im 4.239 * [backup-simplify]: Simplify (* 0 0) into 0 4.239 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.239 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.239 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.240 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.240 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.240 * [backup-simplify]: Simplify (+ 0 0) into 0 4.240 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.240 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.240 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.241 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.241 * [taylor]: Taking taylor expansion of (* re re) in re 4.241 * [taylor]: Taking taylor expansion of re in re 4.241 * [backup-simplify]: Simplify 0 into 0 4.241 * [backup-simplify]: Simplify 1 into 1 4.241 * [taylor]: Taking taylor expansion of re in re 4.241 * [backup-simplify]: Simplify 0 into 0 4.241 * [backup-simplify]: Simplify 1 into 1 4.241 * [taylor]: Taking taylor expansion of (* im im) in re 4.241 * [taylor]: Taking taylor expansion of im in re 4.241 * [backup-simplify]: Simplify im into im 4.241 * [taylor]: Taking taylor expansion of im in re 4.241 * [backup-simplify]: Simplify im into im 4.241 * [backup-simplify]: Simplify (* 0 0) into 0 4.241 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.241 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.242 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.242 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.242 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.243 * [backup-simplify]: Simplify (+ 0 0) into 0 4.243 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.243 * [taylor]: Taking taylor expansion of im in im 4.243 * [backup-simplify]: Simplify 0 into 0 4.243 * [backup-simplify]: Simplify 1 into 1 4.243 * [backup-simplify]: Simplify 0 into 0 4.243 * [taylor]: Taking taylor expansion of 0 in im 4.243 * [backup-simplify]: Simplify 0 into 0 4.243 * [backup-simplify]: Simplify 0 into 0 4.243 * [backup-simplify]: Simplify 1 into 1 4.244 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 4.244 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 4.245 * [backup-simplify]: Simplify (+ 1 0) into 1 4.246 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 4.246 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 4.246 * [taylor]: Taking taylor expansion of 1/2 in im 4.246 * [backup-simplify]: Simplify 1/2 into 1/2 4.246 * [taylor]: Taking taylor expansion of im in im 4.246 * [backup-simplify]: Simplify 0 into 0 4.246 * [backup-simplify]: Simplify 1 into 1 4.246 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.247 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.247 * [backup-simplify]: Simplify 0 into 0 4.247 * [backup-simplify]: Simplify 0 into 0 4.247 * [backup-simplify]: Simplify 0 into 0 4.248 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 4.249 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 4.250 * [backup-simplify]: Simplify (+ 0 0) into 0 4.250 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 4.250 * [taylor]: Taking taylor expansion of 0 in im 4.250 * [backup-simplify]: Simplify 0 into 0 4.250 * [backup-simplify]: Simplify 0 into 0 4.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.251 * [backup-simplify]: Simplify 0 into 0 4.251 * [backup-simplify]: Simplify 0 into 0 4.251 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 4.251 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 4.251 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 4.251 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 4.252 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.252 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 4.252 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 4.252 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.252 * [taylor]: Taking taylor expansion of re in im 4.252 * [backup-simplify]: Simplify re into re 4.252 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.252 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.252 * [taylor]: Taking taylor expansion of re in im 4.252 * [backup-simplify]: Simplify re into re 4.252 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.252 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 4.252 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.252 * [taylor]: Taking taylor expansion of im in im 4.252 * [backup-simplify]: Simplify 0 into 0 4.252 * [backup-simplify]: Simplify 1 into 1 4.252 * [backup-simplify]: Simplify (/ 1 1) into 1 4.252 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.253 * [taylor]: Taking taylor expansion of im in im 4.253 * [backup-simplify]: Simplify 0 into 0 4.253 * [backup-simplify]: Simplify 1 into 1 4.253 * [backup-simplify]: Simplify (/ 1 1) into 1 4.253 * [backup-simplify]: Simplify (* 1 1) into 1 4.254 * [backup-simplify]: Simplify (+ 0 1) into 1 4.254 * [backup-simplify]: Simplify (sqrt 1) into 1 4.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.257 * [backup-simplify]: Simplify (+ 0 0) into 0 4.258 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.258 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 4.258 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.258 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 4.258 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 4.258 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.258 * [taylor]: Taking taylor expansion of re in re 4.258 * [backup-simplify]: Simplify 0 into 0 4.258 * [backup-simplify]: Simplify 1 into 1 4.259 * [backup-simplify]: Simplify (/ 1 1) into 1 4.259 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.259 * [taylor]: Taking taylor expansion of re in re 4.259 * [backup-simplify]: Simplify 0 into 0 4.259 * [backup-simplify]: Simplify 1 into 1 4.259 * [backup-simplify]: Simplify (/ 1 1) into 1 4.259 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 4.259 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.259 * [taylor]: Taking taylor expansion of im in re 4.259 * [backup-simplify]: Simplify im into im 4.259 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.259 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.259 * [taylor]: Taking taylor expansion of im in re 4.259 * [backup-simplify]: Simplify im into im 4.259 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.260 * [backup-simplify]: Simplify (* 1 1) into 1 4.260 * [backup-simplify]: Simplify (+ 1 0) into 1 4.261 * [backup-simplify]: Simplify (sqrt 1) into 1 4.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.263 * [backup-simplify]: Simplify (+ 0 0) into 0 4.264 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.264 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 4.264 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.264 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 4.264 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 4.264 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.264 * [taylor]: Taking taylor expansion of re in re 4.264 * [backup-simplify]: Simplify 0 into 0 4.264 * [backup-simplify]: Simplify 1 into 1 4.265 * [backup-simplify]: Simplify (/ 1 1) into 1 4.265 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.265 * [taylor]: Taking taylor expansion of re in re 4.265 * [backup-simplify]: Simplify 0 into 0 4.265 * [backup-simplify]: Simplify 1 into 1 4.265 * [backup-simplify]: Simplify (/ 1 1) into 1 4.265 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 4.265 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.265 * [taylor]: Taking taylor expansion of im in re 4.265 * [backup-simplify]: Simplify im into im 4.265 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.265 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.265 * [taylor]: Taking taylor expansion of im in re 4.265 * [backup-simplify]: Simplify im into im 4.265 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.266 * [backup-simplify]: Simplify (* 1 1) into 1 4.266 * [backup-simplify]: Simplify (+ 1 0) into 1 4.267 * [backup-simplify]: Simplify (sqrt 1) into 1 4.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.270 * [backup-simplify]: Simplify (+ 0 0) into 0 4.271 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.271 * [taylor]: Taking taylor expansion of 1 in im 4.271 * [backup-simplify]: Simplify 1 into 1 4.271 * [taylor]: Taking taylor expansion of 0 in im 4.271 * [backup-simplify]: Simplify 0 into 0 4.271 * [backup-simplify]: Simplify 1 into 1 4.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.274 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 4.274 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.276 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.276 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 4.276 * [taylor]: Taking taylor expansion of 1/2 in im 4.276 * [backup-simplify]: Simplify 1/2 into 1/2 4.276 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.276 * [taylor]: Taking taylor expansion of im in im 4.276 * [backup-simplify]: Simplify 0 into 0 4.276 * [backup-simplify]: Simplify 1 into 1 4.276 * [backup-simplify]: Simplify (* 1 1) into 1 4.277 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.278 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.278 * [backup-simplify]: Simplify 0 into 0 4.279 * [backup-simplify]: Simplify 0 into 0 4.279 * [backup-simplify]: Simplify 0 into 0 4.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.282 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 4.282 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 4.282 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 4.282 * [backup-simplify]: Simplify (+ 0 0) into 0 4.283 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.283 * [taylor]: Taking taylor expansion of 0 in im 4.283 * [backup-simplify]: Simplify 0 into 0 4.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.285 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.285 * [backup-simplify]: Simplify 0 into 0 4.285 * [backup-simplify]: Simplify 0 into 0 4.285 * [backup-simplify]: Simplify 0 into 0 4.285 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 4.286 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 4.286 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 4.286 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 4.286 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.286 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 4.286 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 4.286 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.286 * [taylor]: Taking taylor expansion of -1 in im 4.286 * [backup-simplify]: Simplify -1 into -1 4.286 * [taylor]: Taking taylor expansion of re in im 4.286 * [backup-simplify]: Simplify re into re 4.286 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 4.286 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.286 * [taylor]: Taking taylor expansion of -1 in im 4.286 * [backup-simplify]: Simplify -1 into -1 4.286 * [taylor]: Taking taylor expansion of re in im 4.286 * [backup-simplify]: Simplify re into re 4.286 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 4.286 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 4.286 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.286 * [taylor]: Taking taylor expansion of -1 in im 4.286 * [backup-simplify]: Simplify -1 into -1 4.286 * [taylor]: Taking taylor expansion of im in im 4.286 * [backup-simplify]: Simplify 0 into 0 4.286 * [backup-simplify]: Simplify 1 into 1 4.287 * [backup-simplify]: Simplify (/ -1 1) into -1 4.287 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.287 * [taylor]: Taking taylor expansion of -1 in im 4.287 * [backup-simplify]: Simplify -1 into -1 4.287 * [taylor]: Taking taylor expansion of im in im 4.287 * [backup-simplify]: Simplify 0 into 0 4.287 * [backup-simplify]: Simplify 1 into 1 4.287 * [backup-simplify]: Simplify (/ -1 1) into -1 4.288 * [backup-simplify]: Simplify (* -1 -1) into 1 4.288 * [backup-simplify]: Simplify (+ 0 1) into 1 4.288 * [backup-simplify]: Simplify (sqrt 1) into 1 4.289 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.289 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.289 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.290 * [backup-simplify]: Simplify (+ 0 0) into 0 4.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.290 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 4.290 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.290 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 4.290 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 4.290 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.290 * [taylor]: Taking taylor expansion of -1 in re 4.290 * [backup-simplify]: Simplify -1 into -1 4.290 * [taylor]: Taking taylor expansion of re in re 4.290 * [backup-simplify]: Simplify 0 into 0 4.290 * [backup-simplify]: Simplify 1 into 1 4.291 * [backup-simplify]: Simplify (/ -1 1) into -1 4.291 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.291 * [taylor]: Taking taylor expansion of -1 in re 4.291 * [backup-simplify]: Simplify -1 into -1 4.291 * [taylor]: Taking taylor expansion of re in re 4.291 * [backup-simplify]: Simplify 0 into 0 4.291 * [backup-simplify]: Simplify 1 into 1 4.291 * [backup-simplify]: Simplify (/ -1 1) into -1 4.291 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 4.291 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.291 * [taylor]: Taking taylor expansion of -1 in re 4.291 * [backup-simplify]: Simplify -1 into -1 4.291 * [taylor]: Taking taylor expansion of im in re 4.291 * [backup-simplify]: Simplify im into im 4.291 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.291 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.291 * [taylor]: Taking taylor expansion of -1 in re 4.291 * [backup-simplify]: Simplify -1 into -1 4.291 * [taylor]: Taking taylor expansion of im in re 4.291 * [backup-simplify]: Simplify im into im 4.291 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.291 * [backup-simplify]: Simplify (* -1 -1) into 1 4.292 * [backup-simplify]: Simplify (+ 1 0) into 1 4.292 * [backup-simplify]: Simplify (sqrt 1) into 1 4.292 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.293 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.293 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.294 * [backup-simplify]: Simplify (+ 0 0) into 0 4.294 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.294 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 4.294 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.294 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 4.294 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 4.294 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.294 * [taylor]: Taking taylor expansion of -1 in re 4.294 * [backup-simplify]: Simplify -1 into -1 4.294 * [taylor]: Taking taylor expansion of re in re 4.294 * [backup-simplify]: Simplify 0 into 0 4.294 * [backup-simplify]: Simplify 1 into 1 4.295 * [backup-simplify]: Simplify (/ -1 1) into -1 4.295 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.295 * [taylor]: Taking taylor expansion of -1 in re 4.295 * [backup-simplify]: Simplify -1 into -1 4.295 * [taylor]: Taking taylor expansion of re in re 4.295 * [backup-simplify]: Simplify 0 into 0 4.295 * [backup-simplify]: Simplify 1 into 1 4.295 * [backup-simplify]: Simplify (/ -1 1) into -1 4.295 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 4.295 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.295 * [taylor]: Taking taylor expansion of -1 in re 4.295 * [backup-simplify]: Simplify -1 into -1 4.295 * [taylor]: Taking taylor expansion of im in re 4.295 * [backup-simplify]: Simplify im into im 4.295 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.295 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.295 * [taylor]: Taking taylor expansion of -1 in re 4.295 * [backup-simplify]: Simplify -1 into -1 4.295 * [taylor]: Taking taylor expansion of im in re 4.295 * [backup-simplify]: Simplify im into im 4.295 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.295 * [backup-simplify]: Simplify (* -1 -1) into 1 4.296 * [backup-simplify]: Simplify (+ 1 0) into 1 4.296 * [backup-simplify]: Simplify (sqrt 1) into 1 4.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.297 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.297 * [backup-simplify]: Simplify (+ 0 0) into 0 4.298 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.298 * [taylor]: Taking taylor expansion of 1 in im 4.298 * [backup-simplify]: Simplify 1 into 1 4.298 * [taylor]: Taking taylor expansion of 0 in im 4.298 * [backup-simplify]: Simplify 0 into 0 4.298 * [backup-simplify]: Simplify 1 into 1 4.299 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.299 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.300 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 4.300 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 4.300 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.301 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.301 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 4.301 * [taylor]: Taking taylor expansion of 1/2 in im 4.301 * [backup-simplify]: Simplify 1/2 into 1/2 4.301 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.301 * [taylor]: Taking taylor expansion of im in im 4.301 * [backup-simplify]: Simplify 0 into 0 4.301 * [backup-simplify]: Simplify 1 into 1 4.301 * [backup-simplify]: Simplify (* 1 1) into 1 4.301 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.302 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.302 * [backup-simplify]: Simplify 0 into 0 4.302 * [backup-simplify]: Simplify 0 into 0 4.302 * [backup-simplify]: Simplify 0 into 0 4.303 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.303 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.304 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 4.304 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 4.304 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 4.304 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 4.304 * [backup-simplify]: Simplify (+ 0 0) into 0 4.305 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.305 * [taylor]: Taking taylor expansion of 0 in im 4.305 * [backup-simplify]: Simplify 0 into 0 4.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.306 * [backup-simplify]: Simplify 0 into 0 4.306 * [backup-simplify]: Simplify 0 into 0 4.306 * [backup-simplify]: Simplify 0 into 0 4.306 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 4.306 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 1 1) 4.306 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 4.306 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 4.306 * [taylor]: Taking taylor expansion of (hypot re im) in im 4.306 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.306 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 4.306 * [taylor]: Taking taylor expansion of (* re re) in im 4.307 * [taylor]: Taking taylor expansion of re in im 4.307 * [backup-simplify]: Simplify re into re 4.307 * [taylor]: Taking taylor expansion of re in im 4.307 * [backup-simplify]: Simplify re into re 4.307 * [taylor]: Taking taylor expansion of (* im im) in im 4.307 * [taylor]: Taking taylor expansion of im in im 4.307 * [backup-simplify]: Simplify 0 into 0 4.307 * [backup-simplify]: Simplify 1 into 1 4.307 * [taylor]: Taking taylor expansion of im in im 4.307 * [backup-simplify]: Simplify 0 into 0 4.307 * [backup-simplify]: Simplify 1 into 1 4.307 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.307 * [backup-simplify]: Simplify (* 0 0) into 0 4.307 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 4.307 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 4.307 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 4.308 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.308 * [backup-simplify]: Simplify (+ 0 0) into 0 4.308 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 4.308 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.308 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.308 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.308 * [taylor]: Taking taylor expansion of (* re re) in re 4.308 * [taylor]: Taking taylor expansion of re in re 4.308 * [backup-simplify]: Simplify 0 into 0 4.308 * [backup-simplify]: Simplify 1 into 1 4.308 * [taylor]: Taking taylor expansion of re in re 4.308 * [backup-simplify]: Simplify 0 into 0 4.308 * [backup-simplify]: Simplify 1 into 1 4.308 * [taylor]: Taking taylor expansion of (* im im) in re 4.308 * [taylor]: Taking taylor expansion of im in re 4.308 * [backup-simplify]: Simplify im into im 4.308 * [taylor]: Taking taylor expansion of im in re 4.308 * [backup-simplify]: Simplify im into im 4.308 * [backup-simplify]: Simplify (* 0 0) into 0 4.309 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.309 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.309 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.309 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.309 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.310 * [backup-simplify]: Simplify (+ 0 0) into 0 4.310 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.310 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.310 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.310 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.310 * [taylor]: Taking taylor expansion of (* re re) in re 4.310 * [taylor]: Taking taylor expansion of re in re 4.310 * [backup-simplify]: Simplify 0 into 0 4.310 * [backup-simplify]: Simplify 1 into 1 4.310 * [taylor]: Taking taylor expansion of re in re 4.310 * [backup-simplify]: Simplify 0 into 0 4.310 * [backup-simplify]: Simplify 1 into 1 4.310 * [taylor]: Taking taylor expansion of (* im im) in re 4.310 * [taylor]: Taking taylor expansion of im in re 4.310 * [backup-simplify]: Simplify im into im 4.310 * [taylor]: Taking taylor expansion of im in re 4.310 * [backup-simplify]: Simplify im into im 4.310 * [backup-simplify]: Simplify (* 0 0) into 0 4.310 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.310 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.310 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.311 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.311 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.311 * [backup-simplify]: Simplify (+ 0 0) into 0 4.311 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.311 * [taylor]: Taking taylor expansion of im in im 4.311 * [backup-simplify]: Simplify 0 into 0 4.311 * [backup-simplify]: Simplify 1 into 1 4.311 * [backup-simplify]: Simplify 0 into 0 4.311 * [taylor]: Taking taylor expansion of 0 in im 4.311 * [backup-simplify]: Simplify 0 into 0 4.311 * [backup-simplify]: Simplify 0 into 0 4.311 * [backup-simplify]: Simplify 1 into 1 4.312 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 4.312 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 4.312 * [backup-simplify]: Simplify (+ 1 0) into 1 4.313 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 4.313 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 4.313 * [taylor]: Taking taylor expansion of 1/2 in im 4.313 * [backup-simplify]: Simplify 1/2 into 1/2 4.313 * [taylor]: Taking taylor expansion of im in im 4.313 * [backup-simplify]: Simplify 0 into 0 4.313 * [backup-simplify]: Simplify 1 into 1 4.313 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.314 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.314 * [backup-simplify]: Simplify 0 into 0 4.314 * [backup-simplify]: Simplify 0 into 0 4.314 * [backup-simplify]: Simplify 0 into 0 4.314 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 4.315 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 4.315 * [backup-simplify]: Simplify (+ 0 0) into 0 4.315 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 4.315 * [taylor]: Taking taylor expansion of 0 in im 4.315 * [backup-simplify]: Simplify 0 into 0 4.315 * [backup-simplify]: Simplify 0 into 0 4.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.316 * [backup-simplify]: Simplify 0 into 0 4.316 * [backup-simplify]: Simplify 0 into 0 4.317 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 4.317 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 4.317 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 4.317 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 4.317 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.317 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 4.317 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 4.317 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.317 * [taylor]: Taking taylor expansion of re in im 4.317 * [backup-simplify]: Simplify re into re 4.317 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.317 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.317 * [taylor]: Taking taylor expansion of re in im 4.317 * [backup-simplify]: Simplify re into re 4.317 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.317 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 4.317 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.317 * [taylor]: Taking taylor expansion of im in im 4.317 * [backup-simplify]: Simplify 0 into 0 4.317 * [backup-simplify]: Simplify 1 into 1 4.318 * [backup-simplify]: Simplify (/ 1 1) into 1 4.318 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.318 * [taylor]: Taking taylor expansion of im in im 4.318 * [backup-simplify]: Simplify 0 into 0 4.318 * [backup-simplify]: Simplify 1 into 1 4.318 * [backup-simplify]: Simplify (/ 1 1) into 1 4.319 * [backup-simplify]: Simplify (* 1 1) into 1 4.319 * [backup-simplify]: Simplify (+ 0 1) into 1 4.319 * [backup-simplify]: Simplify (sqrt 1) into 1 4.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.322 * [backup-simplify]: Simplify (+ 0 0) into 0 4.322 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.322 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 4.322 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.323 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 4.323 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 4.323 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.323 * [taylor]: Taking taylor expansion of re in re 4.323 * [backup-simplify]: Simplify 0 into 0 4.323 * [backup-simplify]: Simplify 1 into 1 4.323 * [backup-simplify]: Simplify (/ 1 1) into 1 4.323 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.323 * [taylor]: Taking taylor expansion of re in re 4.323 * [backup-simplify]: Simplify 0 into 0 4.323 * [backup-simplify]: Simplify 1 into 1 4.323 * [backup-simplify]: Simplify (/ 1 1) into 1 4.323 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 4.323 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.324 * [taylor]: Taking taylor expansion of im in re 4.324 * [backup-simplify]: Simplify im into im 4.324 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.324 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.324 * [taylor]: Taking taylor expansion of im in re 4.324 * [backup-simplify]: Simplify im into im 4.324 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.324 * [backup-simplify]: Simplify (* 1 1) into 1 4.324 * [backup-simplify]: Simplify (+ 1 0) into 1 4.325 * [backup-simplify]: Simplify (sqrt 1) into 1 4.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.327 * [backup-simplify]: Simplify (+ 0 0) into 0 4.327 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.328 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 4.328 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.328 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 4.328 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 4.328 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.328 * [taylor]: Taking taylor expansion of re in re 4.328 * [backup-simplify]: Simplify 0 into 0 4.328 * [backup-simplify]: Simplify 1 into 1 4.328 * [backup-simplify]: Simplify (/ 1 1) into 1 4.328 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.328 * [taylor]: Taking taylor expansion of re in re 4.328 * [backup-simplify]: Simplify 0 into 0 4.328 * [backup-simplify]: Simplify 1 into 1 4.328 * [backup-simplify]: Simplify (/ 1 1) into 1 4.328 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 4.328 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.328 * [taylor]: Taking taylor expansion of im in re 4.328 * [backup-simplify]: Simplify im into im 4.328 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.328 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.328 * [taylor]: Taking taylor expansion of im in re 4.328 * [backup-simplify]: Simplify im into im 4.329 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.329 * [backup-simplify]: Simplify (* 1 1) into 1 4.329 * [backup-simplify]: Simplify (+ 1 0) into 1 4.329 * [backup-simplify]: Simplify (sqrt 1) into 1 4.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.331 * [backup-simplify]: Simplify (+ 0 0) into 0 4.331 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.331 * [taylor]: Taking taylor expansion of 1 in im 4.331 * [backup-simplify]: Simplify 1 into 1 4.331 * [taylor]: Taking taylor expansion of 0 in im 4.331 * [backup-simplify]: Simplify 0 into 0 4.331 * [backup-simplify]: Simplify 1 into 1 4.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.333 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 4.333 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.334 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.334 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 4.334 * [taylor]: Taking taylor expansion of 1/2 in im 4.334 * [backup-simplify]: Simplify 1/2 into 1/2 4.334 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.334 * [taylor]: Taking taylor expansion of im in im 4.334 * [backup-simplify]: Simplify 0 into 0 4.334 * [backup-simplify]: Simplify 1 into 1 4.335 * [backup-simplify]: Simplify (* 1 1) into 1 4.335 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.336 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.336 * [backup-simplify]: Simplify 0 into 0 4.336 * [backup-simplify]: Simplify 0 into 0 4.336 * [backup-simplify]: Simplify 0 into 0 4.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.338 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 4.338 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 4.338 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 4.338 * [backup-simplify]: Simplify (+ 0 0) into 0 4.339 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.339 * [taylor]: Taking taylor expansion of 0 in im 4.339 * [backup-simplify]: Simplify 0 into 0 4.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.340 * [backup-simplify]: Simplify 0 into 0 4.340 * [backup-simplify]: Simplify 0 into 0 4.340 * [backup-simplify]: Simplify 0 into 0 4.340 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 4.340 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 4.340 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 4.340 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 4.340 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.340 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 4.340 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 4.340 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.340 * [taylor]: Taking taylor expansion of -1 in im 4.340 * [backup-simplify]: Simplify -1 into -1 4.340 * [taylor]: Taking taylor expansion of re in im 4.340 * [backup-simplify]: Simplify re into re 4.340 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 4.340 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.340 * [taylor]: Taking taylor expansion of -1 in im 4.340 * [backup-simplify]: Simplify -1 into -1 4.340 * [taylor]: Taking taylor expansion of re in im 4.340 * [backup-simplify]: Simplify re into re 4.340 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 4.341 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 4.341 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.341 * [taylor]: Taking taylor expansion of -1 in im 4.341 * [backup-simplify]: Simplify -1 into -1 4.341 * [taylor]: Taking taylor expansion of im in im 4.341 * [backup-simplify]: Simplify 0 into 0 4.341 * [backup-simplify]: Simplify 1 into 1 4.341 * [backup-simplify]: Simplify (/ -1 1) into -1 4.341 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.341 * [taylor]: Taking taylor expansion of -1 in im 4.341 * [backup-simplify]: Simplify -1 into -1 4.341 * [taylor]: Taking taylor expansion of im in im 4.341 * [backup-simplify]: Simplify 0 into 0 4.341 * [backup-simplify]: Simplify 1 into 1 4.341 * [backup-simplify]: Simplify (/ -1 1) into -1 4.341 * [backup-simplify]: Simplify (* -1 -1) into 1 4.342 * [backup-simplify]: Simplify (+ 0 1) into 1 4.342 * [backup-simplify]: Simplify (sqrt 1) into 1 4.342 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.343 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.343 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.344 * [backup-simplify]: Simplify (+ 0 0) into 0 4.344 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.344 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 4.344 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.344 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 4.344 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 4.344 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.344 * [taylor]: Taking taylor expansion of -1 in re 4.344 * [backup-simplify]: Simplify -1 into -1 4.344 * [taylor]: Taking taylor expansion of re in re 4.344 * [backup-simplify]: Simplify 0 into 0 4.344 * [backup-simplify]: Simplify 1 into 1 4.345 * [backup-simplify]: Simplify (/ -1 1) into -1 4.345 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.345 * [taylor]: Taking taylor expansion of -1 in re 4.345 * [backup-simplify]: Simplify -1 into -1 4.345 * [taylor]: Taking taylor expansion of re in re 4.345 * [backup-simplify]: Simplify 0 into 0 4.345 * [backup-simplify]: Simplify 1 into 1 4.345 * [backup-simplify]: Simplify (/ -1 1) into -1 4.345 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 4.345 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.345 * [taylor]: Taking taylor expansion of -1 in re 4.345 * [backup-simplify]: Simplify -1 into -1 4.345 * [taylor]: Taking taylor expansion of im in re 4.345 * [backup-simplify]: Simplify im into im 4.345 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.345 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.345 * [taylor]: Taking taylor expansion of -1 in re 4.345 * [backup-simplify]: Simplify -1 into -1 4.345 * [taylor]: Taking taylor expansion of im in re 4.345 * [backup-simplify]: Simplify im into im 4.345 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.345 * [backup-simplify]: Simplify (* -1 -1) into 1 4.346 * [backup-simplify]: Simplify (+ 1 0) into 1 4.346 * [backup-simplify]: Simplify (sqrt 1) into 1 4.347 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.347 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.348 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.348 * [backup-simplify]: Simplify (+ 0 0) into 0 4.348 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.348 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 4.348 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.348 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 4.348 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 4.348 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.349 * [taylor]: Taking taylor expansion of -1 in re 4.349 * [backup-simplify]: Simplify -1 into -1 4.349 * [taylor]: Taking taylor expansion of re in re 4.349 * [backup-simplify]: Simplify 0 into 0 4.349 * [backup-simplify]: Simplify 1 into 1 4.349 * [backup-simplify]: Simplify (/ -1 1) into -1 4.349 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.349 * [taylor]: Taking taylor expansion of -1 in re 4.349 * [backup-simplify]: Simplify -1 into -1 4.349 * [taylor]: Taking taylor expansion of re in re 4.349 * [backup-simplify]: Simplify 0 into 0 4.349 * [backup-simplify]: Simplify 1 into 1 4.349 * [backup-simplify]: Simplify (/ -1 1) into -1 4.349 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 4.349 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.349 * [taylor]: Taking taylor expansion of -1 in re 4.349 * [backup-simplify]: Simplify -1 into -1 4.349 * [taylor]: Taking taylor expansion of im in re 4.349 * [backup-simplify]: Simplify im into im 4.349 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.349 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.349 * [taylor]: Taking taylor expansion of -1 in re 4.349 * [backup-simplify]: Simplify -1 into -1 4.349 * [taylor]: Taking taylor expansion of im in re 4.349 * [backup-simplify]: Simplify im into im 4.350 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.350 * [backup-simplify]: Simplify (* -1 -1) into 1 4.350 * [backup-simplify]: Simplify (+ 1 0) into 1 4.350 * [backup-simplify]: Simplify (sqrt 1) into 1 4.351 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.351 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.352 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.352 * [backup-simplify]: Simplify (+ 0 0) into 0 4.352 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.352 * [taylor]: Taking taylor expansion of 1 in im 4.352 * [backup-simplify]: Simplify 1 into 1 4.352 * [taylor]: Taking taylor expansion of 0 in im 4.352 * [backup-simplify]: Simplify 0 into 0 4.352 * [backup-simplify]: Simplify 1 into 1 4.353 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.362 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 4.362 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 4.362 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.364 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.364 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 4.364 * [taylor]: Taking taylor expansion of 1/2 in im 4.364 * [backup-simplify]: Simplify 1/2 into 1/2 4.364 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.364 * [taylor]: Taking taylor expansion of im in im 4.364 * [backup-simplify]: Simplify 0 into 0 4.364 * [backup-simplify]: Simplify 1 into 1 4.364 * [backup-simplify]: Simplify (* 1 1) into 1 4.365 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.366 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.366 * [backup-simplify]: Simplify 0 into 0 4.366 * [backup-simplify]: Simplify 0 into 0 4.366 * [backup-simplify]: Simplify 0 into 0 4.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.368 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.369 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 4.369 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 4.370 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 4.370 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 4.370 * [backup-simplify]: Simplify (+ 0 0) into 0 4.371 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.371 * [taylor]: Taking taylor expansion of 0 in im 4.371 * [backup-simplify]: Simplify 0 into 0 4.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.373 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.373 * [backup-simplify]: Simplify 0 into 0 4.373 * [backup-simplify]: Simplify 0 into 0 4.373 * [backup-simplify]: Simplify 0 into 0 4.373 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 4.373 * * * [progress]: simplifying candidates 4.375 * [simplify]: Simplifying: (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (expm1 (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (log1p (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (- re) (/ (exp (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (exp re)) (log (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (exp (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (* (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))) (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (* (* (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (sqrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (sqrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (- (pow (* (sqrt (hypot re im)) (sqrt (hypot re im))) 3) (pow re 3)) (+ (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (+ (* re re) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))) (- re) (- (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* re re)) (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- re) (expm1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log1p (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (hypot re im) (hypot re im)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (hypot re im) (hypot re im)) (+ 1 1) (+ (log (sqrt (hypot re im))) (log (sqrt (hypot re im)))) (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (exp (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im)))) (* (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (hypot re im) (hypot re im)) (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* 1 1) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (hypot re im)) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt 1)) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) 1) (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (- im re) 0 (* -2 re) im re (* -1 re) im re (* -1 re) im re (* -1 re) 4.377 * * [simplify]: Extracting # 0 : cost 0 4.377 * * [simplify]: Extracting # 1 : cost 0 4.377 * * [simplify]: Extracting # 2 : cost 0 4.377 * * [simplify]: Extracting # 3 : cost 0 4.377 * * [simplify]: Extracting # 4 : cost 0 4.377 * * [simplify]: Extracting # 5 : cost 0 4.378 * * [simplify]: iteration 0 : 108 enodes (cost 1091 ) 4.404 * * [simplify]: Extracting # 0 : cost 0 4.404 * * [simplify]: Extracting # 1 : cost 0 4.404 * * [simplify]: Extracting # 2 : cost 0 4.405 * * [simplify]: Extracting # 3 : cost 0 4.405 * * [simplify]: Extracting # 4 : cost 0 4.405 * * [simplify]: iteration 1 : 191 enodes (cost 592 ) 4.481 * * [simplify]: Extracting # 0 : cost 0 4.482 * * [simplify]: Extracting # 1 : cost 0 4.483 * * [simplify]: Extracting # 2 : cost 0 4.483 * * [simplify]: Extracting # 3 : cost 0 4.484 * * [simplify]: iteration 2 : 422 enodes (cost 547 ) 4.793 * * [simplify]: Extracting # 0 : cost 0 4.796 * * [simplify]: Extracting # 1 : cost 0 4.798 * * [simplify]: Extracting # 2 : cost 0 4.800 * * [simplify]: Extracting # 3 : cost 0 4.802 * * [simplify]: Extracting # 4 : cost 0 4.805 * * [simplify]: iteration 3 : 1164 enodes (cost 523 ) 6.615 * * [simplify]: Extracting # 0 : cost 0 6.619 * * [simplify]: Extracting # 1 : cost 0 6.623 * * [simplify]: Extracting # 2 : cost 0 6.631 * * [simplify]: Extracting # 3 : cost 0 6.634 * * [simplify]: Extracting # 4 : cost 0 6.637 * * [simplify]: iteration 4 : 3755 enodes (cost 509 ) 8.450 * * [simplify]: Extracting # 0 : cost 0 8.460 * * [simplify]: Extracting # 1 : cost 0 8.470 * * [simplify]: iteration done: 5000 enodes (cost 509 ) 8.471 * [simplify]: Simplified to: (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (exp (- (hypot re im) re)) (log (- (hypot re im) re)) (exp (- (hypot re im) re)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (pow (- (hypot re im) re) 3) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (- (pow (hypot re im) 3) (pow re 3)) (fma re re (* (hypot re im) (+ re (hypot re im)))) (- re) (fma re (- re) (pow (sqrt (hypot re im)) 4)) (+ (hypot re im) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- re) (expm1 (hypot re im)) (log1p (hypot re im)) 1 1 2 1 1 (pow (sqrt (hypot re im)) 4) (hypot re im) (pow (sqrt (hypot re im)) 4) 2 (log (hypot re im)) (log (hypot re im)) (exp (hypot re im)) (pow (hypot re im) 3) (pow (sqrt (cbrt (hypot re im))) 4) (cbrt (hypot re im)) (pow (hypot re im) 3) (pow (sqrt (hypot re im)) 4) (sqrt (hypot re im)) (sqrt (hypot re im)) (pow (cbrt (sqrt (hypot re im))) 4) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (pow (sqrt (cbrt (hypot re im))) 4) (cbrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 (hypot re im) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 (hypot re im) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 2 1 (pow (cbrt (sqrt (hypot re im))) 5) (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im)))) (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (hypot re im)) (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (hypot re im)) (pow (cbrt (sqrt (hypot re im))) 4) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3) (hypot re im) (pow (sqrt (sqrt (hypot re im))) 3) (hypot re im) (expm1 (hypot re im)) (log1p (hypot re im)) (fma re re (* im im)) (log (hypot re im)) (exp (hypot re im)) (pow (sqrt (cbrt (hypot re im))) 4) (cbrt (hypot re im)) (pow (hypot re im) 3) (sqrt (hypot re im)) (sqrt (hypot re im)) (expm1 (hypot re im)) (log1p (hypot re im)) (fma re re (* im im)) (log (hypot re im)) (exp (hypot re im)) (pow (sqrt (cbrt (hypot re im))) 4) (cbrt (hypot re im)) (pow (hypot re im) 3) (sqrt (hypot re im)) (sqrt (hypot re im)) (- im re) 0 (* -2 re) im re (- re) im re (- re) im re (- re) 8.472 * * * [progress]: adding candidates to table 8.779 * * [progress]: iteration 3 / 4 8.779 * * * [progress]: picking best candidate 8.805 * * * * [pick]: Picked # 8.806 * * * [progress]: localizing error 8.826 * * * [progress]: generating rewritten candidates 8.826 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 8.858 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 2) 8.868 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1) 8.927 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 2 1) 8.942 * * * [progress]: generating series expansions 8.943 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 8.943 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)) re) into (- (hypot re im) re) 8.943 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 8.943 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 8.943 * [taylor]: Taking taylor expansion of (hypot re im) in im 8.943 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 8.943 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 8.943 * [taylor]: Taking taylor expansion of (* re re) in im 8.943 * [taylor]: Taking taylor expansion of re in im 8.944 * [backup-simplify]: Simplify re into re 8.944 * [taylor]: Taking taylor expansion of re in im 8.944 * [backup-simplify]: Simplify re into re 8.944 * [taylor]: Taking taylor expansion of (* im im) in im 8.944 * [taylor]: Taking taylor expansion of im in im 8.944 * [backup-simplify]: Simplify 0 into 0 8.944 * [backup-simplify]: Simplify 1 into 1 8.944 * [taylor]: Taking taylor expansion of im in im 8.944 * [backup-simplify]: Simplify 0 into 0 8.944 * [backup-simplify]: Simplify 1 into 1 8.944 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.945 * [backup-simplify]: Simplify (* 0 0) into 0 8.945 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 8.945 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 8.945 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 8.946 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.946 * [backup-simplify]: Simplify (+ 0 0) into 0 8.946 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 8.946 * [taylor]: Taking taylor expansion of re in im 8.946 * [backup-simplify]: Simplify re into re 8.947 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 8.947 * [taylor]: Taking taylor expansion of (hypot re im) in re 8.947 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 8.947 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 8.947 * [taylor]: Taking taylor expansion of (* re re) in re 8.947 * [taylor]: Taking taylor expansion of re in re 8.947 * [backup-simplify]: Simplify 0 into 0 8.947 * [backup-simplify]: Simplify 1 into 1 8.947 * [taylor]: Taking taylor expansion of re in re 8.947 * [backup-simplify]: Simplify 0 into 0 8.947 * [backup-simplify]: Simplify 1 into 1 8.947 * [taylor]: Taking taylor expansion of (* im im) in re 8.947 * [taylor]: Taking taylor expansion of im in re 8.947 * [backup-simplify]: Simplify im into im 8.947 * [taylor]: Taking taylor expansion of im in re 8.947 * [backup-simplify]: Simplify im into im 8.947 * [backup-simplify]: Simplify (* 0 0) into 0 8.947 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.948 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 8.948 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.948 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.948 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.949 * [backup-simplify]: Simplify (+ 0 0) into 0 8.949 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.949 * [taylor]: Taking taylor expansion of re in re 8.949 * [backup-simplify]: Simplify 0 into 0 8.949 * [backup-simplify]: Simplify 1 into 1 8.949 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 8.949 * [taylor]: Taking taylor expansion of (hypot re im) in re 8.949 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 8.949 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 8.949 * [taylor]: Taking taylor expansion of (* re re) in re 8.949 * [taylor]: Taking taylor expansion of re in re 8.949 * [backup-simplify]: Simplify 0 into 0 8.949 * [backup-simplify]: Simplify 1 into 1 8.949 * [taylor]: Taking taylor expansion of re in re 8.949 * [backup-simplify]: Simplify 0 into 0 8.949 * [backup-simplify]: Simplify 1 into 1 8.949 * [taylor]: Taking taylor expansion of (* im im) in re 8.949 * [taylor]: Taking taylor expansion of im in re 8.949 * [backup-simplify]: Simplify im into im 8.949 * [taylor]: Taking taylor expansion of im in re 8.950 * [backup-simplify]: Simplify im into im 8.950 * [backup-simplify]: Simplify (* 0 0) into 0 8.950 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.950 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 8.950 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.951 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.951 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.951 * [backup-simplify]: Simplify (+ 0 0) into 0 8.951 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.951 * [taylor]: Taking taylor expansion of re in re 8.951 * [backup-simplify]: Simplify 0 into 0 8.951 * [backup-simplify]: Simplify 1 into 1 8.952 * [backup-simplify]: Simplify (- 0) into 0 8.952 * [backup-simplify]: Simplify (+ im 0) into im 8.952 * [taylor]: Taking taylor expansion of im in im 8.952 * [backup-simplify]: Simplify 0 into 0 8.952 * [backup-simplify]: Simplify 1 into 1 8.952 * [backup-simplify]: Simplify 0 into 0 8.952 * [backup-simplify]: Simplify (- 1) into -1 8.952 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.952 * [taylor]: Taking taylor expansion of -1 in im 8.952 * [backup-simplify]: Simplify -1 into -1 8.952 * [backup-simplify]: Simplify -1 into -1 8.952 * [backup-simplify]: Simplify 1 into 1 8.957 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 8.957 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 8.958 * [backup-simplify]: Simplify (+ 1 0) into 1 8.958 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 8.958 * [backup-simplify]: Simplify (- 0) into 0 8.959 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 8.959 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 8.959 * [taylor]: Taking taylor expansion of 1/2 in im 8.959 * [backup-simplify]: Simplify 1/2 into 1/2 8.959 * [taylor]: Taking taylor expansion of (/ 1 im) in im 8.959 * [taylor]: Taking taylor expansion of im in im 8.959 * [backup-simplify]: Simplify 0 into 0 8.959 * [backup-simplify]: Simplify 1 into 1 8.959 * [backup-simplify]: Simplify (/ 1 1) into 1 8.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.960 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.960 * [backup-simplify]: Simplify 0 into 0 8.960 * [backup-simplify]: Simplify 0 into 0 8.960 * [backup-simplify]: Simplify 0 into 0 8.960 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 8.961 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 8.961 * [backup-simplify]: Simplify (+ 0 0) into 0 8.961 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 8.962 * [backup-simplify]: Simplify (- 0) into 0 8.962 * [backup-simplify]: Simplify (+ 0 0) into 0 8.962 * [taylor]: Taking taylor expansion of 0 in im 8.962 * [backup-simplify]: Simplify 0 into 0 8.962 * [backup-simplify]: Simplify 0 into 0 8.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.963 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 8.963 * [backup-simplify]: Simplify 0 into 0 8.963 * [backup-simplify]: Simplify 0 into 0 8.963 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 8.963 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) (pow (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) 3)) (/ 1 re)) into (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 8.963 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 8.963 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 8.964 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 8.964 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 8.964 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 8.964 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 8.964 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.964 * [taylor]: Taking taylor expansion of re in im 8.964 * [backup-simplify]: Simplify re into re 8.964 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.964 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.964 * [taylor]: Taking taylor expansion of re in im 8.964 * [backup-simplify]: Simplify re into re 8.964 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.964 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 8.964 * [taylor]: Taking taylor expansion of (/ 1 im) in im 8.964 * [taylor]: Taking taylor expansion of im in im 8.964 * [backup-simplify]: Simplify 0 into 0 8.964 * [backup-simplify]: Simplify 1 into 1 8.964 * [backup-simplify]: Simplify (/ 1 1) into 1 8.964 * [taylor]: Taking taylor expansion of (/ 1 im) in im 8.964 * [taylor]: Taking taylor expansion of im in im 8.964 * [backup-simplify]: Simplify 0 into 0 8.964 * [backup-simplify]: Simplify 1 into 1 8.964 * [backup-simplify]: Simplify (/ 1 1) into 1 8.965 * [backup-simplify]: Simplify (* 1 1) into 1 8.965 * [backup-simplify]: Simplify (+ 0 1) into 1 8.965 * [backup-simplify]: Simplify (sqrt 1) into 1 8.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.966 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.967 * [backup-simplify]: Simplify (+ 0 0) into 0 8.967 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.967 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.967 * [taylor]: Taking taylor expansion of re in im 8.967 * [backup-simplify]: Simplify re into re 8.967 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.967 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 8.967 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 8.967 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 8.967 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 8.967 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 8.968 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.968 * [taylor]: Taking taylor expansion of re in re 8.968 * [backup-simplify]: Simplify 0 into 0 8.968 * [backup-simplify]: Simplify 1 into 1 8.968 * [backup-simplify]: Simplify (/ 1 1) into 1 8.968 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.968 * [taylor]: Taking taylor expansion of re in re 8.968 * [backup-simplify]: Simplify 0 into 0 8.968 * [backup-simplify]: Simplify 1 into 1 8.968 * [backup-simplify]: Simplify (/ 1 1) into 1 8.968 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 8.968 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.968 * [taylor]: Taking taylor expansion of im in re 8.968 * [backup-simplify]: Simplify im into im 8.968 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 8.968 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.968 * [taylor]: Taking taylor expansion of im in re 8.968 * [backup-simplify]: Simplify im into im 8.968 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 8.969 * [backup-simplify]: Simplify (* 1 1) into 1 8.969 * [backup-simplify]: Simplify (+ 1 0) into 1 8.969 * [backup-simplify]: Simplify (sqrt 1) into 1 8.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.970 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.970 * [backup-simplify]: Simplify (+ 0 0) into 0 8.971 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.971 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.971 * [taylor]: Taking taylor expansion of re in re 8.971 * [backup-simplify]: Simplify 0 into 0 8.971 * [backup-simplify]: Simplify 1 into 1 8.971 * [backup-simplify]: Simplify (/ 1 1) into 1 8.971 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 8.971 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 8.971 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 8.971 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 8.971 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 8.971 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.971 * [taylor]: Taking taylor expansion of re in re 8.971 * [backup-simplify]: Simplify 0 into 0 8.971 * [backup-simplify]: Simplify 1 into 1 8.972 * [backup-simplify]: Simplify (/ 1 1) into 1 8.972 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.972 * [taylor]: Taking taylor expansion of re in re 8.972 * [backup-simplify]: Simplify 0 into 0 8.972 * [backup-simplify]: Simplify 1 into 1 8.972 * [backup-simplify]: Simplify (/ 1 1) into 1 8.972 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 8.972 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.972 * [taylor]: Taking taylor expansion of im in re 8.972 * [backup-simplify]: Simplify im into im 8.972 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 8.972 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.972 * [taylor]: Taking taylor expansion of im in re 8.972 * [backup-simplify]: Simplify im into im 8.972 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 8.972 * [backup-simplify]: Simplify (* 1 1) into 1 8.973 * [backup-simplify]: Simplify (+ 1 0) into 1 8.973 * [backup-simplify]: Simplify (sqrt 1) into 1 8.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.974 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.974 * [backup-simplify]: Simplify (+ 0 0) into 0 8.975 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.975 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.975 * [taylor]: Taking taylor expansion of re in re 8.975 * [backup-simplify]: Simplify 0 into 0 8.975 * [backup-simplify]: Simplify 1 into 1 8.975 * [backup-simplify]: Simplify (/ 1 1) into 1 8.975 * [backup-simplify]: Simplify (- 1) into -1 8.976 * [backup-simplify]: Simplify (+ 1 -1) into 0 8.976 * [taylor]: Taking taylor expansion of 0 in im 8.976 * [backup-simplify]: Simplify 0 into 0 8.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.976 * [backup-simplify]: Simplify (- 0) into 0 8.977 * [backup-simplify]: Simplify (+ 0 0) into 0 8.977 * [taylor]: Taking taylor expansion of 0 in im 8.977 * [backup-simplify]: Simplify 0 into 0 8.977 * [backup-simplify]: Simplify 0 into 0 8.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.978 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 8.978 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 8.979 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.980 * [backup-simplify]: Simplify (- 0) into 0 8.980 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 8.980 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 8.980 * [taylor]: Taking taylor expansion of 1/2 in im 8.980 * [backup-simplify]: Simplify 1/2 into 1/2 8.980 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.980 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.980 * [taylor]: Taking taylor expansion of im in im 8.980 * [backup-simplify]: Simplify 0 into 0 8.980 * [backup-simplify]: Simplify 1 into 1 8.981 * [backup-simplify]: Simplify (* 1 1) into 1 8.981 * [backup-simplify]: Simplify (/ 1 1) into 1 8.981 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.982 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.982 * [backup-simplify]: Simplify 0 into 0 8.982 * [backup-simplify]: Simplify 0 into 0 8.982 * [backup-simplify]: Simplify 0 into 0 8.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.984 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 8.984 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 8.985 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 8.985 * [backup-simplify]: Simplify (+ 0 0) into 0 8.986 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 8.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.987 * [backup-simplify]: Simplify (- 0) into 0 8.987 * [backup-simplify]: Simplify (+ 0 0) into 0 8.987 * [taylor]: Taking taylor expansion of 0 in im 8.987 * [backup-simplify]: Simplify 0 into 0 8.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.990 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 8.990 * [backup-simplify]: Simplify 0 into 0 8.990 * [backup-simplify]: Simplify 0 into 0 8.990 * [backup-simplify]: Simplify 0 into 0 8.991 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (pow (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 3)) (/ 1 (- re))) into (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 8.991 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 8.991 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 8.991 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.991 * [taylor]: Taking taylor expansion of re in im 8.991 * [backup-simplify]: Simplify re into re 8.991 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.991 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 8.991 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 8.991 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 8.991 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 8.991 * [taylor]: Taking taylor expansion of (/ -1 re) in im 8.991 * [taylor]: Taking taylor expansion of -1 in im 8.991 * [backup-simplify]: Simplify -1 into -1 8.991 * [taylor]: Taking taylor expansion of re in im 8.991 * [backup-simplify]: Simplify re into re 8.991 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 8.991 * [taylor]: Taking taylor expansion of (/ -1 re) in im 8.991 * [taylor]: Taking taylor expansion of -1 in im 8.991 * [backup-simplify]: Simplify -1 into -1 8.992 * [taylor]: Taking taylor expansion of re in im 8.992 * [backup-simplify]: Simplify re into re 8.992 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 8.992 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 8.992 * [taylor]: Taking taylor expansion of (/ -1 im) in im 8.992 * [taylor]: Taking taylor expansion of -1 in im 8.992 * [backup-simplify]: Simplify -1 into -1 8.992 * [taylor]: Taking taylor expansion of im in im 8.992 * [backup-simplify]: Simplify 0 into 0 8.992 * [backup-simplify]: Simplify 1 into 1 8.992 * [backup-simplify]: Simplify (/ -1 1) into -1 8.992 * [taylor]: Taking taylor expansion of (/ -1 im) in im 8.992 * [taylor]: Taking taylor expansion of -1 in im 8.992 * [backup-simplify]: Simplify -1 into -1 8.992 * [taylor]: Taking taylor expansion of im in im 8.992 * [backup-simplify]: Simplify 0 into 0 8.992 * [backup-simplify]: Simplify 1 into 1 8.993 * [backup-simplify]: Simplify (/ -1 1) into -1 8.993 * [backup-simplify]: Simplify (* -1 -1) into 1 8.994 * [backup-simplify]: Simplify (+ 0 1) into 1 8.994 * [backup-simplify]: Simplify (sqrt 1) into 1 8.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.996 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.996 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.997 * [backup-simplify]: Simplify (+ 0 0) into 0 8.997 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.998 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 8.998 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.998 * [taylor]: Taking taylor expansion of re in re 8.998 * [backup-simplify]: Simplify 0 into 0 8.998 * [backup-simplify]: Simplify 1 into 1 8.998 * [backup-simplify]: Simplify (/ 1 1) into 1 8.998 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 8.998 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 8.998 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 8.998 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 8.998 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.998 * [taylor]: Taking taylor expansion of -1 in re 8.998 * [backup-simplify]: Simplify -1 into -1 8.998 * [taylor]: Taking taylor expansion of re in re 8.998 * [backup-simplify]: Simplify 0 into 0 8.998 * [backup-simplify]: Simplify 1 into 1 8.999 * [backup-simplify]: Simplify (/ -1 1) into -1 8.999 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.999 * [taylor]: Taking taylor expansion of -1 in re 8.999 * [backup-simplify]: Simplify -1 into -1 8.999 * [taylor]: Taking taylor expansion of re in re 8.999 * [backup-simplify]: Simplify 0 into 0 8.999 * [backup-simplify]: Simplify 1 into 1 8.999 * [backup-simplify]: Simplify (/ -1 1) into -1 8.999 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 8.999 * [taylor]: Taking taylor expansion of (/ -1 im) in re 9.000 * [taylor]: Taking taylor expansion of -1 in re 9.000 * [backup-simplify]: Simplify -1 into -1 9.000 * [taylor]: Taking taylor expansion of im in re 9.000 * [backup-simplify]: Simplify im into im 9.000 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 9.000 * [taylor]: Taking taylor expansion of (/ -1 im) in re 9.000 * [taylor]: Taking taylor expansion of -1 in re 9.000 * [backup-simplify]: Simplify -1 into -1 9.000 * [taylor]: Taking taylor expansion of im in re 9.000 * [backup-simplify]: Simplify im into im 9.000 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 9.000 * [backup-simplify]: Simplify (* -1 -1) into 1 9.001 * [backup-simplify]: Simplify (+ 1 0) into 1 9.001 * [backup-simplify]: Simplify (sqrt 1) into 1 9.002 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.003 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.004 * [backup-simplify]: Simplify (+ 0 0) into 0 9.004 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.004 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 9.005 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.005 * [taylor]: Taking taylor expansion of re in re 9.005 * [backup-simplify]: Simplify 0 into 0 9.005 * [backup-simplify]: Simplify 1 into 1 9.005 * [backup-simplify]: Simplify (/ 1 1) into 1 9.005 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 9.005 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 9.005 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 9.005 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 9.005 * [taylor]: Taking taylor expansion of (/ -1 re) in re 9.005 * [taylor]: Taking taylor expansion of -1 in re 9.005 * [backup-simplify]: Simplify -1 into -1 9.005 * [taylor]: Taking taylor expansion of re in re 9.005 * [backup-simplify]: Simplify 0 into 0 9.005 * [backup-simplify]: Simplify 1 into 1 9.006 * [backup-simplify]: Simplify (/ -1 1) into -1 9.006 * [taylor]: Taking taylor expansion of (/ -1 re) in re 9.006 * [taylor]: Taking taylor expansion of -1 in re 9.006 * [backup-simplify]: Simplify -1 into -1 9.006 * [taylor]: Taking taylor expansion of re in re 9.006 * [backup-simplify]: Simplify 0 into 0 9.006 * [backup-simplify]: Simplify 1 into 1 9.006 * [backup-simplify]: Simplify (/ -1 1) into -1 9.006 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 9.006 * [taylor]: Taking taylor expansion of (/ -1 im) in re 9.006 * [taylor]: Taking taylor expansion of -1 in re 9.006 * [backup-simplify]: Simplify -1 into -1 9.006 * [taylor]: Taking taylor expansion of im in re 9.007 * [backup-simplify]: Simplify im into im 9.007 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 9.007 * [taylor]: Taking taylor expansion of (/ -1 im) in re 9.007 * [taylor]: Taking taylor expansion of -1 in re 9.007 * [backup-simplify]: Simplify -1 into -1 9.007 * [taylor]: Taking taylor expansion of im in re 9.007 * [backup-simplify]: Simplify im into im 9.007 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 9.007 * [backup-simplify]: Simplify (* -1 -1) into 1 9.008 * [backup-simplify]: Simplify (+ 1 0) into 1 9.008 * [backup-simplify]: Simplify (sqrt 1) into 1 9.009 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.010 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.010 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.011 * [backup-simplify]: Simplify (+ 0 0) into 0 9.011 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.012 * [backup-simplify]: Simplify (+ 1 1) into 2 9.012 * [taylor]: Taking taylor expansion of 2 in im 9.012 * [backup-simplify]: Simplify 2 into 2 9.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.013 * [backup-simplify]: Simplify (+ 0 0) into 0 9.013 * [taylor]: Taking taylor expansion of 0 in im 9.013 * [backup-simplify]: Simplify 0 into 0 9.013 * [backup-simplify]: Simplify 2 into 2 9.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.015 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.016 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.017 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 9.017 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 9.017 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 9.018 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 9.018 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 9.018 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 9.018 * [taylor]: Taking taylor expansion of 1/2 in im 9.019 * [backup-simplify]: Simplify 1/2 into 1/2 9.019 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.019 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.019 * [taylor]: Taking taylor expansion of im in im 9.019 * [backup-simplify]: Simplify 0 into 0 9.019 * [backup-simplify]: Simplify 1 into 1 9.019 * [backup-simplify]: Simplify (* 1 1) into 1 9.019 * [backup-simplify]: Simplify (/ 1 1) into 1 9.020 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.021 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.021 * [backup-simplify]: Simplify 0 into 0 9.021 * [backup-simplify]: Simplify 0 into 0 9.021 * [backup-simplify]: Simplify 0 into 0 9.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.023 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.024 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.025 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 9.026 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 9.026 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 9.026 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 9.026 * [backup-simplify]: Simplify (+ 0 0) into 0 9.027 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 9.027 * [backup-simplify]: Simplify (+ 0 0) into 0 9.027 * [taylor]: Taking taylor expansion of 0 in im 9.027 * [backup-simplify]: Simplify 0 into 0 9.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.030 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 9.030 * [backup-simplify]: Simplify 0 into 0 9.030 * [backup-simplify]: Simplify 0 into 0 9.030 * [backup-simplify]: Simplify 0 into 0 9.030 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 9.031 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 2) 9.031 * [backup-simplify]: Simplify (pow (sqrt (sqrt (hypot re im))) 3) into (pow (pow (hypot re im) 1/4) 3) 9.031 * [approximate]: Taking taylor expansion of (pow (pow (hypot re im) 1/4) 3) in (re im) around 0 9.031 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 1/4) 3) in im 9.031 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/4) in im 9.031 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot re im)))) in im 9.031 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot re im))) in im 9.031 * [taylor]: Taking taylor expansion of 1/4 in im 9.031 * [backup-simplify]: Simplify 1/4 into 1/4 9.031 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im 9.031 * [taylor]: Taking taylor expansion of (hypot re im) in im 9.031 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 9.031 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 9.031 * [taylor]: Taking taylor expansion of (* re re) in im 9.031 * [taylor]: Taking taylor expansion of re in im 9.031 * [backup-simplify]: Simplify re into re 9.031 * [taylor]: Taking taylor expansion of re in im 9.032 * [backup-simplify]: Simplify re into re 9.032 * [taylor]: Taking taylor expansion of (* im im) in im 9.032 * [taylor]: Taking taylor expansion of im in im 9.032 * [backup-simplify]: Simplify 0 into 0 9.032 * [backup-simplify]: Simplify 1 into 1 9.032 * [taylor]: Taking taylor expansion of im in im 9.032 * [backup-simplify]: Simplify 0 into 0 9.032 * [backup-simplify]: Simplify 1 into 1 9.032 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.032 * [backup-simplify]: Simplify (* 0 0) into 0 9.032 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 9.032 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 9.032 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 9.033 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.033 * [backup-simplify]: Simplify (+ 0 0) into 0 9.034 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 9.034 * [backup-simplify]: Simplify (log re) into (log re) 9.034 * [backup-simplify]: Simplify (* 1/4 (log re)) into (* 1/4 (log re)) 9.034 * [backup-simplify]: Simplify (exp (* 1/4 (log re))) into (pow re 1/4) 9.034 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 1/4) 3) in re 9.034 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/4) in re 9.034 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot re im)))) in re 9.034 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot re im))) in re 9.034 * [taylor]: Taking taylor expansion of 1/4 in re 9.034 * [backup-simplify]: Simplify 1/4 into 1/4 9.034 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 9.034 * [taylor]: Taking taylor expansion of (hypot re im) in re 9.034 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 9.034 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 9.034 * [taylor]: Taking taylor expansion of (* re re) in re 9.035 * [taylor]: Taking taylor expansion of re in re 9.035 * [backup-simplify]: Simplify 0 into 0 9.035 * [backup-simplify]: Simplify 1 into 1 9.035 * [taylor]: Taking taylor expansion of re in re 9.035 * [backup-simplify]: Simplify 0 into 0 9.035 * [backup-simplify]: Simplify 1 into 1 9.035 * [taylor]: Taking taylor expansion of (* im im) in re 9.035 * [taylor]: Taking taylor expansion of im in re 9.035 * [backup-simplify]: Simplify im into im 9.035 * [taylor]: Taking taylor expansion of im in re 9.035 * [backup-simplify]: Simplify im into im 9.035 * [backup-simplify]: Simplify (* 0 0) into 0 9.035 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.035 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 9.035 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 9.036 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.036 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.037 * [backup-simplify]: Simplify (+ 0 0) into 0 9.037 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 9.037 * [backup-simplify]: Simplify (log im) into (log im) 9.037 * [backup-simplify]: Simplify (* 1/4 (log im)) into (* 1/4 (log im)) 9.037 * [backup-simplify]: Simplify (exp (* 1/4 (log im))) into (pow im 1/4) 9.037 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 1/4) 3) in re 9.037 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/4) in re 9.037 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot re im)))) in re 9.037 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot re im))) in re 9.037 * [taylor]: Taking taylor expansion of 1/4 in re 9.037 * [backup-simplify]: Simplify 1/4 into 1/4 9.037 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 9.037 * [taylor]: Taking taylor expansion of (hypot re im) in re 9.037 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 9.037 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 9.037 * [taylor]: Taking taylor expansion of (* re re) in re 9.037 * [taylor]: Taking taylor expansion of re in re 9.037 * [backup-simplify]: Simplify 0 into 0 9.037 * [backup-simplify]: Simplify 1 into 1 9.037 * [taylor]: Taking taylor expansion of re in re 9.037 * [backup-simplify]: Simplify 0 into 0 9.038 * [backup-simplify]: Simplify 1 into 1 9.038 * [taylor]: Taking taylor expansion of (* im im) in re 9.038 * [taylor]: Taking taylor expansion of im in re 9.038 * [backup-simplify]: Simplify im into im 9.038 * [taylor]: Taking taylor expansion of im in re 9.038 * [backup-simplify]: Simplify im into im 9.038 * [backup-simplify]: Simplify (* 0 0) into 0 9.038 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.038 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 9.038 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 9.039 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.039 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.039 * [backup-simplify]: Simplify (+ 0 0) into 0 9.040 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 9.040 * [backup-simplify]: Simplify (log im) into (log im) 9.040 * [backup-simplify]: Simplify (* 1/4 (log im)) into (* 1/4 (log im)) 9.040 * [backup-simplify]: Simplify (exp (* 1/4 (log im))) into (pow im 1/4) 9.040 * [backup-simplify]: Simplify (* (pow im 1/4) (pow im 1/4)) into (sqrt im) 9.040 * [backup-simplify]: Simplify (* (pow im 1/4) (sqrt im)) into (pow (pow im 3) 1/4) 9.040 * [taylor]: Taking taylor expansion of (pow (pow im 3) 1/4) in im 9.040 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow im 3)))) in im 9.041 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow im 3))) in im 9.041 * [taylor]: Taking taylor expansion of 1/4 in im 9.041 * [backup-simplify]: Simplify 1/4 into 1/4 9.041 * [taylor]: Taking taylor expansion of (log (pow im 3)) in im 9.041 * [taylor]: Taking taylor expansion of (pow im 3) in im 9.041 * [taylor]: Taking taylor expansion of im in im 9.041 * [backup-simplify]: Simplify 0 into 0 9.041 * [backup-simplify]: Simplify 1 into 1 9.041 * [backup-simplify]: Simplify (* 1 1) into 1 9.041 * [backup-simplify]: Simplify (* 1 1) into 1 9.042 * [backup-simplify]: Simplify (log 1) into 0 9.042 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im)) 9.042 * [backup-simplify]: Simplify (* 1/4 (* 3 (log im))) into (* 3/4 (log im)) 9.042 * [backup-simplify]: Simplify (exp (* 3/4 (log im))) into (pow im 3/4) 9.043 * [backup-simplify]: Simplify (pow im 3/4) into (pow im 3/4) 9.044 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0 9.045 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log im))) into 0 9.046 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 9.046 * [backup-simplify]: Simplify (+ (* (pow im 1/4) 0) (* 0 (pow im 1/4))) into 0 9.046 * [backup-simplify]: Simplify (+ (* (pow im 1/4) 0) (* 0 (sqrt im))) into 0 9.046 * [taylor]: Taking taylor expansion of 0 in im 9.046 * [backup-simplify]: Simplify 0 into 0 9.046 * [backup-simplify]: Simplify 0 into 0 9.047 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.049 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 9.049 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im)) 9.050 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (* 3 (log im)))) into 0 9.051 * [backup-simplify]: Simplify (* (exp (* 3/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 9.051 * [backup-simplify]: Simplify 0 into 0 9.052 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 9.053 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 9.053 * [backup-simplify]: Simplify (+ 1 0) into 1 9.054 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 9.055 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow im 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 im)) 1)) (pow im 1)))) 2) into (/ 1/2 (pow im 2)) 9.056 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im)))) into (* 1/8 (/ 1 (pow im 2))) 9.057 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)))) into (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) 9.059 * [backup-simplify]: Simplify (+ (* (pow im 1/4) (* 1/8 (pow (/ 1 (pow im 7)) 1/4))) (+ (* 0 0) (* (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) (pow im 1/4)))) into (* 1/4 (sqrt (/ 1 (pow im 3)))) 9.060 * [backup-simplify]: Simplify (+ (* (pow im 1/4) (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* 0 0) (* (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) (sqrt im)))) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) 9.060 * [taylor]: Taking taylor expansion of (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) in im 9.060 * [taylor]: Taking taylor expansion of 3/8 in im 9.060 * [backup-simplify]: Simplify 3/8 into 3/8 9.060 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/4) in im 9.060 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow im 5))))) in im 9.060 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow im 5)))) in im 9.060 * [taylor]: Taking taylor expansion of 1/4 in im 9.060 * [backup-simplify]: Simplify 1/4 into 1/4 9.060 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 9.060 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 9.060 * [taylor]: Taking taylor expansion of (pow im 5) in im 9.060 * [taylor]: Taking taylor expansion of im in im 9.060 * [backup-simplify]: Simplify 0 into 0 9.060 * [backup-simplify]: Simplify 1 into 1 9.060 * [backup-simplify]: Simplify (* 1 1) into 1 9.061 * [backup-simplify]: Simplify (* 1 1) into 1 9.061 * [backup-simplify]: Simplify (* 1 1) into 1 9.062 * [backup-simplify]: Simplify (/ 1 1) into 1 9.062 * [backup-simplify]: Simplify (log 1) into 0 9.062 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im))) 9.063 * [backup-simplify]: Simplify (* 1/4 (- (* 5 (log im)))) into (* -5/4 (log im)) 9.063 * [backup-simplify]: Simplify (exp (* -5/4 (log im))) into (pow im -5/4) 9.063 * [backup-simplify]: Simplify (* 3/8 (pow im -5/4)) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) 9.063 * [backup-simplify]: Simplify (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) 9.063 * [backup-simplify]: Simplify 0 into 0 9.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.068 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 9.068 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im)) 9.069 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (* 3 (log im))))) into 0 9.070 * [backup-simplify]: Simplify (* (exp (* 3/4 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.070 * [backup-simplify]: Simplify 0 into 0 9.072 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 9.072 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 9.073 * [backup-simplify]: Simplify (+ 0 0) into 0 9.073 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 9.075 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow im 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 im)) 1)) (pow im 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow im 1)))) 6) into 0 9.076 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im))))) into 0 9.079 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 9.079 * [backup-simplify]: Simplify (+ (* (pow im 1/4) 0) (+ (* 0 (* 1/8 (pow (/ 1 (pow im 7)) 1/4))) (+ (* (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) 0) (* 0 (pow im 1/4))))) into 0 9.080 * [backup-simplify]: Simplify (+ (* (pow im 1/4) 0) (+ (* 0 (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) 0) (* 0 (sqrt im))))) into 0 9.080 * [taylor]: Taking taylor expansion of 0 in im 9.080 * [backup-simplify]: Simplify 0 into 0 9.080 * [backup-simplify]: Simplify 0 into 0 9.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.084 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 9.085 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im))) 9.085 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 5 (log im))))) into 0 9.086 * [backup-simplify]: Simplify (* (exp (* -5/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 9.086 * [backup-simplify]: Simplify (+ (* 3/8 0) (* 0 (pow im -5/4))) into 0 9.087 * [backup-simplify]: Simplify 0 into 0 9.087 * [backup-simplify]: Simplify 0 into 0 9.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.101 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 9.102 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im)) 9.103 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 3 (log im)))))) into 0 9.105 * [backup-simplify]: Simplify (* (exp (* 3/4 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 9.105 * [backup-simplify]: Simplify 0 into 0 9.106 * [backup-simplify]: Simplify (+ (* (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) (pow (* 1 re) 2)) (pow im 3/4)) into (+ (pow im 3/4) (* 3/8 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/4)))) 9.106 * [backup-simplify]: Simplify (pow (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) 3) into (pow (pow (hypot (/ 1 re) (/ 1 im)) 1/4) 3) 9.106 * [approximate]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 1/4) 3) in (re im) around 0 9.106 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 1/4) 3) in im 9.106 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in im 9.106 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ 1 re) (/ 1 im))))) in im 9.106 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ 1 re) (/ 1 im)))) in im 9.107 * [taylor]: Taking taylor expansion of 1/4 in im 9.107 * [backup-simplify]: Simplify 1/4 into 1/4 9.107 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im 9.107 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 9.107 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 9.107 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 9.107 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 9.107 * [taylor]: Taking taylor expansion of (/ 1 re) in im 9.107 * [taylor]: Taking taylor expansion of re in im 9.107 * [backup-simplify]: Simplify re into re 9.107 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 9.107 * [taylor]: Taking taylor expansion of (/ 1 re) in im 9.107 * [taylor]: Taking taylor expansion of re in im 9.107 * [backup-simplify]: Simplify re into re 9.107 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 9.107 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 9.107 * [taylor]: Taking taylor expansion of (/ 1 im) in im 9.107 * [taylor]: Taking taylor expansion of im in im 9.107 * [backup-simplify]: Simplify 0 into 0 9.107 * [backup-simplify]: Simplify 1 into 1 9.108 * [backup-simplify]: Simplify (/ 1 1) into 1 9.108 * [taylor]: Taking taylor expansion of (/ 1 im) in im 9.108 * [taylor]: Taking taylor expansion of im in im 9.108 * [backup-simplify]: Simplify 0 into 0 9.108 * [backup-simplify]: Simplify 1 into 1 9.109 * [backup-simplify]: Simplify (/ 1 1) into 1 9.109 * [backup-simplify]: Simplify (* 1 1) into 1 9.109 * [backup-simplify]: Simplify (+ 0 1) into 1 9.110 * [backup-simplify]: Simplify (sqrt 1) into 1 9.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.112 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.112 * [backup-simplify]: Simplify (+ 0 0) into 0 9.113 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.113 * [backup-simplify]: Simplify (log 1) into 0 9.114 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im)) 9.114 * [backup-simplify]: Simplify (* 1/4 (- (log im))) into (* -1/4 (log im)) 9.114 * [backup-simplify]: Simplify (exp (* -1/4 (log im))) into (pow im -1/4) 9.114 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 1/4) 3) in re 9.114 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in re 9.114 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ 1 re) (/ 1 im))))) in re 9.114 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ 1 re) (/ 1 im)))) in re 9.114 * [taylor]: Taking taylor expansion of 1/4 in re 9.114 * [backup-simplify]: Simplify 1/4 into 1/4 9.114 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 9.114 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 9.114 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 9.114 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 9.114 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 9.114 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.114 * [taylor]: Taking taylor expansion of re in re 9.114 * [backup-simplify]: Simplify 0 into 0 9.114 * [backup-simplify]: Simplify 1 into 1 9.115 * [backup-simplify]: Simplify (/ 1 1) into 1 9.115 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.115 * [taylor]: Taking taylor expansion of re in re 9.115 * [backup-simplify]: Simplify 0 into 0 9.115 * [backup-simplify]: Simplify 1 into 1 9.115 * [backup-simplify]: Simplify (/ 1 1) into 1 9.115 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 9.115 * [taylor]: Taking taylor expansion of (/ 1 im) in re 9.115 * [taylor]: Taking taylor expansion of im in re 9.115 * [backup-simplify]: Simplify im into im 9.115 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 9.115 * [taylor]: Taking taylor expansion of (/ 1 im) in re 9.115 * [taylor]: Taking taylor expansion of im in re 9.115 * [backup-simplify]: Simplify im into im 9.115 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 9.116 * [backup-simplify]: Simplify (* 1 1) into 1 9.116 * [backup-simplify]: Simplify (+ 1 0) into 1 9.117 * [backup-simplify]: Simplify (sqrt 1) into 1 9.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.119 * [backup-simplify]: Simplify (+ 0 0) into 0 9.120 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.120 * [backup-simplify]: Simplify (log 1) into 0 9.121 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 9.121 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re)) 9.121 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 9.121 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 1/4) 3) in re 9.121 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in re 9.121 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ 1 re) (/ 1 im))))) in re 9.121 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ 1 re) (/ 1 im)))) in re 9.121 * [taylor]: Taking taylor expansion of 1/4 in re 9.121 * [backup-simplify]: Simplify 1/4 into 1/4 9.121 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 9.122 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 9.122 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 9.122 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 9.122 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 9.122 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.122 * [taylor]: Taking taylor expansion of re in re 9.122 * [backup-simplify]: Simplify 0 into 0 9.122 * [backup-simplify]: Simplify 1 into 1 9.122 * [backup-simplify]: Simplify (/ 1 1) into 1 9.122 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.122 * [taylor]: Taking taylor expansion of re in re 9.122 * [backup-simplify]: Simplify 0 into 0 9.122 * [backup-simplify]: Simplify 1 into 1 9.123 * [backup-simplify]: Simplify (/ 1 1) into 1 9.123 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 9.123 * [taylor]: Taking taylor expansion of (/ 1 im) in re 9.123 * [taylor]: Taking taylor expansion of im in re 9.123 * [backup-simplify]: Simplify im into im 9.123 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 9.123 * [taylor]: Taking taylor expansion of (/ 1 im) in re 9.123 * [taylor]: Taking taylor expansion of im in re 9.123 * [backup-simplify]: Simplify im into im 9.123 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 9.123 * [backup-simplify]: Simplify (* 1 1) into 1 9.124 * [backup-simplify]: Simplify (+ 1 0) into 1 9.124 * [backup-simplify]: Simplify (sqrt 1) into 1 9.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.126 * [backup-simplify]: Simplify (+ 0 0) into 0 9.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.127 * [backup-simplify]: Simplify (log 1) into 0 9.128 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 9.128 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re)) 9.128 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 9.128 * [backup-simplify]: Simplify (* (pow re -1/4) (pow re -1/4)) into (sqrt (/ 1 re)) 9.129 * [backup-simplify]: Simplify (* (pow re -1/4) (sqrt (/ 1 re))) into (pow (/ 1 (pow re 3)) 1/4) 9.129 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im 9.129 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im 9.129 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im 9.129 * [taylor]: Taking taylor expansion of 1/4 in im 9.129 * [backup-simplify]: Simplify 1/4 into 1/4 9.129 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im 9.129 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im 9.129 * [taylor]: Taking taylor expansion of (pow re 3) in im 9.129 * [taylor]: Taking taylor expansion of re in im 9.129 * [backup-simplify]: Simplify re into re 9.129 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.129 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3) 9.129 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3)) 9.129 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3))) 9.130 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3)))) 9.130 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4) 9.130 * [backup-simplify]: Simplify (pow (/ 1 (pow re 3)) 1/4) into (pow (/ 1 (pow re 3)) 1/4) 9.131 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 9.132 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 9.132 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log re)))) into 0 9.133 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 9.133 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (pow re -1/4))) into 0 9.134 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (sqrt (/ 1 re)))) into 0 9.134 * [taylor]: Taking taylor expansion of 0 in im 9.134 * [backup-simplify]: Simplify 0 into 0 9.134 * [backup-simplify]: Simplify 0 into 0 9.134 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 9.134 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0 9.134 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0 9.135 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0 9.136 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0 9.137 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.137 * [backup-simplify]: Simplify 0 into 0 9.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.140 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 9.140 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 9.141 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 9.143 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2)) 9.144 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 9.144 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/8 (/ 1 (pow im 2))) 9.145 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)))) into (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 9.147 * [backup-simplify]: Simplify (+ (* (pow re -1/4) (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))) (+ (* 0 0) (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) (pow re -1/4)))) into (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2)))) 9.148 * [backup-simplify]: Simplify (+ (* (pow re -1/4) (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))) (+ (* 0 0) (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) (sqrt (/ 1 re))))) into (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2)))) 9.149 * [taylor]: Taking taylor expansion of (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2)))) in im 9.149 * [taylor]: Taking taylor expansion of 3/8 in im 9.149 * [backup-simplify]: Simplify 3/8 into 3/8 9.149 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2))) in im 9.149 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im 9.149 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im 9.149 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im 9.149 * [taylor]: Taking taylor expansion of 1/4 in im 9.149 * [backup-simplify]: Simplify 1/4 into 1/4 9.149 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im 9.149 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im 9.149 * [taylor]: Taking taylor expansion of (pow re 3) in im 9.149 * [taylor]: Taking taylor expansion of re in im 9.149 * [backup-simplify]: Simplify re into re 9.149 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.149 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3) 9.149 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3)) 9.149 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3))) 9.150 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3)))) 9.150 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4) 9.150 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.150 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.150 * [taylor]: Taking taylor expansion of im in im 9.150 * [backup-simplify]: Simplify 0 into 0 9.150 * [backup-simplify]: Simplify 1 into 1 9.151 * [backup-simplify]: Simplify (* 1 1) into 1 9.151 * [backup-simplify]: Simplify (/ 1 1) into 1 9.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.154 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 9.154 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0 9.155 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0 9.156 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0 9.156 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0 9.157 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.158 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 9.158 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0 9.159 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0 9.161 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 2) into 0 9.162 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0 9.163 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.164 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (+ (* 0 0) (* 0 1))) into 0 9.165 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (* 0 1)) into 0 9.165 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 3)) 1/4) 1) into (pow (/ 1 (pow re 3)) 1/4) 9.166 * [backup-simplify]: Simplify (+ (* 3/8 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 3)) 1/4)))) into 0 9.166 * [backup-simplify]: Simplify 0 into 0 9.166 * [backup-simplify]: Simplify 0 into 0 9.166 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 9.167 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0 9.167 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0 9.169 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 2) into 0 9.170 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0 9.172 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.172 * [backup-simplify]: Simplify 0 into 0 9.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.174 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 9.175 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 9.175 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 9.175 * [backup-simplify]: Simplify (+ 0 0) into 0 9.176 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 9.179 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 9.180 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 9.181 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0 9.183 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 9.183 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (+ (* 0 (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))) (+ (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 0) (* 0 (pow re -1/4))))) into 0 9.184 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (+ (* 0 (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))) (+ (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 0) (* 0 (sqrt (/ 1 re)))))) into 0 9.184 * [taylor]: Taking taylor expansion of 0 in im 9.184 * [backup-simplify]: Simplify 0 into 0 9.184 * [backup-simplify]: Simplify 0 into 0 9.184 * [backup-simplify]: Simplify (pow (/ 1 (pow (/ 1 re) 3)) 1/4) into (pow (pow re 3) 1/4) 9.184 * [backup-simplify]: Simplify (pow (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 3) into (pow (pow (hypot (/ -1 re) (/ -1 im)) 1/4) 3) 9.184 * [approximate]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 1/4) 3) in (re im) around 0 9.184 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 1/4) 3) in im 9.184 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in im 9.185 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ -1 re) (/ -1 im))))) in im 9.185 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ -1 re) (/ -1 im)))) in im 9.185 * [taylor]: Taking taylor expansion of 1/4 in im 9.185 * [backup-simplify]: Simplify 1/4 into 1/4 9.185 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im 9.185 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 9.185 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 9.185 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 9.185 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 9.185 * [taylor]: Taking taylor expansion of (/ -1 re) in im 9.185 * [taylor]: Taking taylor expansion of -1 in im 9.185 * [backup-simplify]: Simplify -1 into -1 9.185 * [taylor]: Taking taylor expansion of re in im 9.185 * [backup-simplify]: Simplify re into re 9.185 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 9.185 * [taylor]: Taking taylor expansion of (/ -1 re) in im 9.185 * [taylor]: Taking taylor expansion of -1 in im 9.185 * [backup-simplify]: Simplify -1 into -1 9.185 * [taylor]: Taking taylor expansion of re in im 9.185 * [backup-simplify]: Simplify re into re 9.185 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 9.185 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 9.185 * [taylor]: Taking taylor expansion of (/ -1 im) in im 9.185 * [taylor]: Taking taylor expansion of -1 in im 9.185 * [backup-simplify]: Simplify -1 into -1 9.185 * [taylor]: Taking taylor expansion of im in im 9.185 * [backup-simplify]: Simplify 0 into 0 9.185 * [backup-simplify]: Simplify 1 into 1 9.185 * [backup-simplify]: Simplify (/ -1 1) into -1 9.185 * [taylor]: Taking taylor expansion of (/ -1 im) in im 9.185 * [taylor]: Taking taylor expansion of -1 in im 9.185 * [backup-simplify]: Simplify -1 into -1 9.185 * [taylor]: Taking taylor expansion of im in im 9.186 * [backup-simplify]: Simplify 0 into 0 9.186 * [backup-simplify]: Simplify 1 into 1 9.186 * [backup-simplify]: Simplify (/ -1 1) into -1 9.186 * [backup-simplify]: Simplify (* -1 -1) into 1 9.186 * [backup-simplify]: Simplify (+ 0 1) into 1 9.187 * [backup-simplify]: Simplify (sqrt 1) into 1 9.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.188 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.188 * [backup-simplify]: Simplify (+ 0 0) into 0 9.188 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.189 * [backup-simplify]: Simplify (log 1) into 0 9.189 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im)) 9.189 * [backup-simplify]: Simplify (* 1/4 (- (log im))) into (* -1/4 (log im)) 9.189 * [backup-simplify]: Simplify (exp (* -1/4 (log im))) into (pow im -1/4) 9.189 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 1/4) 3) in re 9.189 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in re 9.189 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ -1 re) (/ -1 im))))) in re 9.189 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ -1 re) (/ -1 im)))) in re 9.189 * [taylor]: Taking taylor expansion of 1/4 in re 9.189 * [backup-simplify]: Simplify 1/4 into 1/4 9.189 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 9.189 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 9.189 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 9.189 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 9.189 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 9.189 * [taylor]: Taking taylor expansion of (/ -1 re) in re 9.189 * [taylor]: Taking taylor expansion of -1 in re 9.190 * [backup-simplify]: Simplify -1 into -1 9.190 * [taylor]: Taking taylor expansion of re in re 9.190 * [backup-simplify]: Simplify 0 into 0 9.190 * [backup-simplify]: Simplify 1 into 1 9.190 * [backup-simplify]: Simplify (/ -1 1) into -1 9.190 * [taylor]: Taking taylor expansion of (/ -1 re) in re 9.190 * [taylor]: Taking taylor expansion of -1 in re 9.190 * [backup-simplify]: Simplify -1 into -1 9.190 * [taylor]: Taking taylor expansion of re in re 9.190 * [backup-simplify]: Simplify 0 into 0 9.190 * [backup-simplify]: Simplify 1 into 1 9.190 * [backup-simplify]: Simplify (/ -1 1) into -1 9.190 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 9.190 * [taylor]: Taking taylor expansion of (/ -1 im) in re 9.190 * [taylor]: Taking taylor expansion of -1 in re 9.190 * [backup-simplify]: Simplify -1 into -1 9.190 * [taylor]: Taking taylor expansion of im in re 9.190 * [backup-simplify]: Simplify im into im 9.190 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 9.190 * [taylor]: Taking taylor expansion of (/ -1 im) in re 9.190 * [taylor]: Taking taylor expansion of -1 in re 9.190 * [backup-simplify]: Simplify -1 into -1 9.190 * [taylor]: Taking taylor expansion of im in re 9.190 * [backup-simplify]: Simplify im into im 9.190 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 9.191 * [backup-simplify]: Simplify (* -1 -1) into 1 9.191 * [backup-simplify]: Simplify (+ 1 0) into 1 9.191 * [backup-simplify]: Simplify (sqrt 1) into 1 9.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.192 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.193 * [backup-simplify]: Simplify (+ 0 0) into 0 9.193 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.193 * [backup-simplify]: Simplify (log 1) into 0 9.194 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 9.194 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re)) 9.194 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 9.194 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 1/4) 3) in re 9.194 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in re 9.194 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ -1 re) (/ -1 im))))) in re 9.194 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ -1 re) (/ -1 im)))) in re 9.194 * [taylor]: Taking taylor expansion of 1/4 in re 9.194 * [backup-simplify]: Simplify 1/4 into 1/4 9.194 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 9.194 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 9.194 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 9.194 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 9.194 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 9.194 * [taylor]: Taking taylor expansion of (/ -1 re) in re 9.194 * [taylor]: Taking taylor expansion of -1 in re 9.194 * [backup-simplify]: Simplify -1 into -1 9.194 * [taylor]: Taking taylor expansion of re in re 9.194 * [backup-simplify]: Simplify 0 into 0 9.194 * [backup-simplify]: Simplify 1 into 1 9.194 * [backup-simplify]: Simplify (/ -1 1) into -1 9.194 * [taylor]: Taking taylor expansion of (/ -1 re) in re 9.194 * [taylor]: Taking taylor expansion of -1 in re 9.194 * [backup-simplify]: Simplify -1 into -1 9.194 * [taylor]: Taking taylor expansion of re in re 9.195 * [backup-simplify]: Simplify 0 into 0 9.195 * [backup-simplify]: Simplify 1 into 1 9.195 * [backup-simplify]: Simplify (/ -1 1) into -1 9.195 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 9.195 * [taylor]: Taking taylor expansion of (/ -1 im) in re 9.195 * [taylor]: Taking taylor expansion of -1 in re 9.195 * [backup-simplify]: Simplify -1 into -1 9.195 * [taylor]: Taking taylor expansion of im in re 9.195 * [backup-simplify]: Simplify im into im 9.195 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 9.195 * [taylor]: Taking taylor expansion of (/ -1 im) in re 9.195 * [taylor]: Taking taylor expansion of -1 in re 9.195 * [backup-simplify]: Simplify -1 into -1 9.195 * [taylor]: Taking taylor expansion of im in re 9.195 * [backup-simplify]: Simplify im into im 9.195 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 9.195 * [backup-simplify]: Simplify (* -1 -1) into 1 9.196 * [backup-simplify]: Simplify (+ 1 0) into 1 9.196 * [backup-simplify]: Simplify (sqrt 1) into 1 9.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.197 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.197 * [backup-simplify]: Simplify (+ 0 0) into 0 9.198 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.198 * [backup-simplify]: Simplify (log 1) into 0 9.198 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 9.198 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re)) 9.198 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 9.199 * [backup-simplify]: Simplify (* (pow re -1/4) (pow re -1/4)) into (sqrt (/ 1 re)) 9.199 * [backup-simplify]: Simplify (* (pow re -1/4) (sqrt (/ 1 re))) into (pow (/ 1 (pow re 3)) 1/4) 9.199 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im 9.199 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im 9.199 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im 9.199 * [taylor]: Taking taylor expansion of 1/4 in im 9.199 * [backup-simplify]: Simplify 1/4 into 1/4 9.199 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im 9.199 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im 9.199 * [taylor]: Taking taylor expansion of (pow re 3) in im 9.199 * [taylor]: Taking taylor expansion of re in im 9.199 * [backup-simplify]: Simplify re into re 9.199 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.199 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3) 9.199 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3)) 9.199 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3))) 9.199 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3)))) 9.200 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4) 9.200 * [backup-simplify]: Simplify (pow (/ 1 (pow re 3)) 1/4) into (pow (/ 1 (pow re 3)) 1/4) 9.201 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 9.201 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 9.201 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log re)))) into 0 9.202 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 9.202 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (pow re -1/4))) into 0 9.202 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (sqrt (/ 1 re)))) into 0 9.202 * [taylor]: Taking taylor expansion of 0 in im 9.202 * [backup-simplify]: Simplify 0 into 0 9.202 * [backup-simplify]: Simplify 0 into 0 9.202 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 9.202 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0 9.202 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0 9.203 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0 9.204 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0 9.204 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.204 * [backup-simplify]: Simplify 0 into 0 9.205 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.205 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.206 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 9.206 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 9.206 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 9.207 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 9.208 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2)) 9.208 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 9.209 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/8 (/ 1 (pow im 2))) 9.209 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)))) into (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 9.210 * [backup-simplify]: Simplify (+ (* (pow re -1/4) (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))) (+ (* 0 0) (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) (pow re -1/4)))) into (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2)))) 9.211 * [backup-simplify]: Simplify (+ (* (pow re -1/4) (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))) (+ (* 0 0) (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) (sqrt (/ 1 re))))) into (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2)))) 9.211 * [taylor]: Taking taylor expansion of (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2)))) in im 9.211 * [taylor]: Taking taylor expansion of 3/8 in im 9.211 * [backup-simplify]: Simplify 3/8 into 3/8 9.211 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2))) in im 9.211 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im 9.211 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im 9.211 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im 9.211 * [taylor]: Taking taylor expansion of 1/4 in im 9.211 * [backup-simplify]: Simplify 1/4 into 1/4 9.211 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im 9.211 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im 9.211 * [taylor]: Taking taylor expansion of (pow re 3) in im 9.211 * [taylor]: Taking taylor expansion of re in im 9.211 * [backup-simplify]: Simplify re into re 9.211 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.212 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3) 9.212 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3)) 9.212 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3))) 9.212 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3)))) 9.212 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4) 9.212 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.212 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.212 * [taylor]: Taking taylor expansion of im in im 9.212 * [backup-simplify]: Simplify 0 into 0 9.212 * [backup-simplify]: Simplify 1 into 1 9.212 * [backup-simplify]: Simplify (* 1 1) into 1 9.213 * [backup-simplify]: Simplify (/ 1 1) into 1 9.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.215 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 9.215 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0 9.215 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0 9.216 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0 9.216 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0 9.217 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.218 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 9.218 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0 9.219 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0 9.221 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 2) into 0 9.222 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0 9.224 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.224 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (+ (* 0 0) (* 0 1))) into 0 9.225 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (* 0 1)) into 0 9.225 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 3)) 1/4) 1) into (pow (/ 1 (pow re 3)) 1/4) 9.226 * [backup-simplify]: Simplify (+ (* 3/8 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 3)) 1/4)))) into 0 9.226 * [backup-simplify]: Simplify 0 into 0 9.226 * [backup-simplify]: Simplify 0 into 0 9.227 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 9.228 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0 9.228 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0 9.230 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 2) into 0 9.231 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0 9.232 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.232 * [backup-simplify]: Simplify 0 into 0 9.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.234 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.242 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 9.242 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 9.242 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 9.242 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 9.243 * [backup-simplify]: Simplify (+ 0 0) into 0 9.244 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 9.247 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 9.248 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 9.249 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0 9.252 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 9.253 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (+ (* 0 (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))) (+ (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 0) (* 0 (pow re -1/4))))) into 0 9.254 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (+ (* 0 (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))) (+ (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 0) (* 0 (sqrt (/ 1 re)))))) into 0 9.254 * [taylor]: Taking taylor expansion of 0 in im 9.254 * [backup-simplify]: Simplify 0 into 0 9.254 * [backup-simplify]: Simplify 0 into 0 9.254 * [backup-simplify]: Simplify (pow (/ 1 (pow (/ 1 (- re)) 3)) 1/4) into (pow (* -1 (pow re 3)) 1/4) 9.254 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1) 9.254 * [backup-simplify]: Simplify (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)) into (hypot re im) 9.255 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 9.255 * [taylor]: Taking taylor expansion of (hypot re im) in im 9.255 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 9.255 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 9.255 * [taylor]: Taking taylor expansion of (* re re) in im 9.255 * [taylor]: Taking taylor expansion of re in im 9.255 * [backup-simplify]: Simplify re into re 9.255 * [taylor]: Taking taylor expansion of re in im 9.255 * [backup-simplify]: Simplify re into re 9.255 * [taylor]: Taking taylor expansion of (* im im) in im 9.255 * [taylor]: Taking taylor expansion of im in im 9.255 * [backup-simplify]: Simplify 0 into 0 9.255 * [backup-simplify]: Simplify 1 into 1 9.255 * [taylor]: Taking taylor expansion of im in im 9.255 * [backup-simplify]: Simplify 0 into 0 9.255 * [backup-simplify]: Simplify 1 into 1 9.255 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.256 * [backup-simplify]: Simplify (* 0 0) into 0 9.256 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 9.256 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 9.256 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 9.257 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.257 * [backup-simplify]: Simplify (+ 0 0) into 0 9.257 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 9.257 * [taylor]: Taking taylor expansion of (hypot re im) in re 9.257 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 9.257 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 9.257 * [taylor]: Taking taylor expansion of (* re re) in re 9.257 * [taylor]: Taking taylor expansion of re in re 9.257 * [backup-simplify]: Simplify 0 into 0 9.257 * [backup-simplify]: Simplify 1 into 1 9.257 * [taylor]: Taking taylor expansion of re in re 9.257 * [backup-simplify]: Simplify 0 into 0 9.257 * [backup-simplify]: Simplify 1 into 1 9.258 * [taylor]: Taking taylor expansion of (* im im) in re 9.258 * [taylor]: Taking taylor expansion of im in re 9.258 * [backup-simplify]: Simplify im into im 9.258 * [taylor]: Taking taylor expansion of im in re 9.258 * [backup-simplify]: Simplify im into im 9.258 * [backup-simplify]: Simplify (* 0 0) into 0 9.258 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.258 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 9.258 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 9.259 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.259 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.259 * [backup-simplify]: Simplify (+ 0 0) into 0 9.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 9.259 * [taylor]: Taking taylor expansion of (hypot re im) in re 9.260 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 9.260 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 9.260 * [taylor]: Taking taylor expansion of (* re re) in re 9.260 * [taylor]: Taking taylor expansion of re in re 9.260 * [backup-simplify]: Simplify 0 into 0 9.260 * [backup-simplify]: Simplify 1 into 1 9.260 * [taylor]: Taking taylor expansion of re in re 9.260 * [backup-simplify]: Simplify 0 into 0 9.260 * [backup-simplify]: Simplify 1 into 1 9.260 * [taylor]: Taking taylor expansion of (* im im) in re 9.260 * [taylor]: Taking taylor expansion of im in re 9.260 * [backup-simplify]: Simplify im into im 9.260 * [taylor]: Taking taylor expansion of im in re 9.260 * [backup-simplify]: Simplify im into im 9.260 * [backup-simplify]: Simplify (* 0 0) into 0 9.260 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.261 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 9.261 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 9.262 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.262 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.262 * [backup-simplify]: Simplify (+ 0 0) into 0 9.262 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 9.262 * [taylor]: Taking taylor expansion of im in im 9.262 * [backup-simplify]: Simplify 0 into 0 9.262 * [backup-simplify]: Simplify 1 into 1 9.262 * [backup-simplify]: Simplify 0 into 0 9.262 * [taylor]: Taking taylor expansion of 0 in im 9.262 * [backup-simplify]: Simplify 0 into 0 9.262 * [backup-simplify]: Simplify 0 into 0 9.262 * [backup-simplify]: Simplify 1 into 1 9.263 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 9.264 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 9.264 * [backup-simplify]: Simplify (+ 1 0) into 1 9.265 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 9.265 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 9.265 * [taylor]: Taking taylor expansion of 1/2 in im 9.265 * [backup-simplify]: Simplify 1/2 into 1/2 9.265 * [taylor]: Taking taylor expansion of im in im 9.265 * [backup-simplify]: Simplify 0 into 0 9.265 * [backup-simplify]: Simplify 1 into 1 9.266 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.266 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.266 * [backup-simplify]: Simplify 0 into 0 9.266 * [backup-simplify]: Simplify 0 into 0 9.267 * [backup-simplify]: Simplify 0 into 0 9.268 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 9.268 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 9.269 * [backup-simplify]: Simplify (+ 0 0) into 0 9.269 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 9.269 * [taylor]: Taking taylor expansion of 0 in im 9.269 * [backup-simplify]: Simplify 0 into 0 9.269 * [backup-simplify]: Simplify 0 into 0 9.270 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.270 * [backup-simplify]: Simplify 0 into 0 9.270 * [backup-simplify]: Simplify 0 into 0 9.270 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 9.271 * [backup-simplify]: Simplify (* (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) (pow (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) 3)) into (hypot (/ 1 re) (/ 1 im)) 9.271 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 9.271 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 9.271 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 9.271 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 9.271 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 9.271 * [taylor]: Taking taylor expansion of (/ 1 re) in im 9.271 * [taylor]: Taking taylor expansion of re in im 9.271 * [backup-simplify]: Simplify re into re 9.271 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 9.271 * [taylor]: Taking taylor expansion of (/ 1 re) in im 9.271 * [taylor]: Taking taylor expansion of re in im 9.271 * [backup-simplify]: Simplify re into re 9.271 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 9.271 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 9.271 * [taylor]: Taking taylor expansion of (/ 1 im) in im 9.271 * [taylor]: Taking taylor expansion of im in im 9.271 * [backup-simplify]: Simplify 0 into 0 9.271 * [backup-simplify]: Simplify 1 into 1 9.272 * [backup-simplify]: Simplify (/ 1 1) into 1 9.272 * [taylor]: Taking taylor expansion of (/ 1 im) in im 9.272 * [taylor]: Taking taylor expansion of im in im 9.272 * [backup-simplify]: Simplify 0 into 0 9.272 * [backup-simplify]: Simplify 1 into 1 9.272 * [backup-simplify]: Simplify (/ 1 1) into 1 9.273 * [backup-simplify]: Simplify (* 1 1) into 1 9.273 * [backup-simplify]: Simplify (+ 0 1) into 1 9.274 * [backup-simplify]: Simplify (sqrt 1) into 1 9.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.276 * [backup-simplify]: Simplify (+ 0 0) into 0 9.277 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.277 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 9.277 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 9.277 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 9.277 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 9.277 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.277 * [taylor]: Taking taylor expansion of re in re 9.277 * [backup-simplify]: Simplify 0 into 0 9.277 * [backup-simplify]: Simplify 1 into 1 9.278 * [backup-simplify]: Simplify (/ 1 1) into 1 9.278 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.278 * [taylor]: Taking taylor expansion of re in re 9.278 * [backup-simplify]: Simplify 0 into 0 9.278 * [backup-simplify]: Simplify 1 into 1 9.278 * [backup-simplify]: Simplify (/ 1 1) into 1 9.278 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 9.278 * [taylor]: Taking taylor expansion of (/ 1 im) in re 9.278 * [taylor]: Taking taylor expansion of im in re 9.278 * [backup-simplify]: Simplify im into im 9.278 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 9.278 * [taylor]: Taking taylor expansion of (/ 1 im) in re 9.278 * [taylor]: Taking taylor expansion of im in re 9.278 * [backup-simplify]: Simplify im into im 9.278 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 9.279 * [backup-simplify]: Simplify (* 1 1) into 1 9.279 * [backup-simplify]: Simplify (+ 1 0) into 1 9.280 * [backup-simplify]: Simplify (sqrt 1) into 1 9.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.282 * [backup-simplify]: Simplify (+ 0 0) into 0 9.283 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.283 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 9.283 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 9.283 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 9.283 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 9.283 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.283 * [taylor]: Taking taylor expansion of re in re 9.283 * [backup-simplify]: Simplify 0 into 0 9.283 * [backup-simplify]: Simplify 1 into 1 9.284 * [backup-simplify]: Simplify (/ 1 1) into 1 9.284 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.284 * [taylor]: Taking taylor expansion of re in re 9.284 * [backup-simplify]: Simplify 0 into 0 9.284 * [backup-simplify]: Simplify 1 into 1 9.284 * [backup-simplify]: Simplify (/ 1 1) into 1 9.284 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 9.284 * [taylor]: Taking taylor expansion of (/ 1 im) in re 9.284 * [taylor]: Taking taylor expansion of im in re 9.284 * [backup-simplify]: Simplify im into im 9.284 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 9.284 * [taylor]: Taking taylor expansion of (/ 1 im) in re 9.284 * [taylor]: Taking taylor expansion of im in re 9.284 * [backup-simplify]: Simplify im into im 9.284 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 9.285 * [backup-simplify]: Simplify (* 1 1) into 1 9.285 * [backup-simplify]: Simplify (+ 1 0) into 1 9.286 * [backup-simplify]: Simplify (sqrt 1) into 1 9.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.288 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.288 * [backup-simplify]: Simplify (+ 0 0) into 0 9.289 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.289 * [taylor]: Taking taylor expansion of 1 in im 9.289 * [backup-simplify]: Simplify 1 into 1 9.289 * [taylor]: Taking taylor expansion of 0 in im 9.289 * [backup-simplify]: Simplify 0 into 0 9.289 * [backup-simplify]: Simplify 1 into 1 9.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.292 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 9.292 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 9.293 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 9.293 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 9.294 * [taylor]: Taking taylor expansion of 1/2 in im 9.294 * [backup-simplify]: Simplify 1/2 into 1/2 9.294 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.294 * [taylor]: Taking taylor expansion of im in im 9.294 * [backup-simplify]: Simplify 0 into 0 9.294 * [backup-simplify]: Simplify 1 into 1 9.294 * [backup-simplify]: Simplify (* 1 1) into 1 9.294 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.296 * [backup-simplify]: Simplify 0 into 0 9.296 * [backup-simplify]: Simplify 0 into 0 9.296 * [backup-simplify]: Simplify 0 into 0 9.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.299 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 9.299 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 9.299 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 9.300 * [backup-simplify]: Simplify (+ 0 0) into 0 9.300 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 9.300 * [taylor]: Taking taylor expansion of 0 in im 9.301 * [backup-simplify]: Simplify 0 into 0 9.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.302 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.302 * [backup-simplify]: Simplify 0 into 0 9.302 * [backup-simplify]: Simplify 0 into 0 9.303 * [backup-simplify]: Simplify 0 into 0 9.303 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 9.303 * [backup-simplify]: Simplify (* (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (pow (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) 3)) into (hypot (/ -1 re) (/ -1 im)) 9.303 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 9.303 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 9.303 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 9.303 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 9.304 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 9.304 * [taylor]: Taking taylor expansion of (/ -1 re) in im 9.304 * [taylor]: Taking taylor expansion of -1 in im 9.304 * [backup-simplify]: Simplify -1 into -1 9.304 * [taylor]: Taking taylor expansion of re in im 9.304 * [backup-simplify]: Simplify re into re 9.304 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 9.304 * [taylor]: Taking taylor expansion of (/ -1 re) in im 9.304 * [taylor]: Taking taylor expansion of -1 in im 9.304 * [backup-simplify]: Simplify -1 into -1 9.304 * [taylor]: Taking taylor expansion of re in im 9.304 * [backup-simplify]: Simplify re into re 9.304 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 9.304 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 9.304 * [taylor]: Taking taylor expansion of (/ -1 im) in im 9.304 * [taylor]: Taking taylor expansion of -1 in im 9.304 * [backup-simplify]: Simplify -1 into -1 9.304 * [taylor]: Taking taylor expansion of im in im 9.304 * [backup-simplify]: Simplify 0 into 0 9.304 * [backup-simplify]: Simplify 1 into 1 9.305 * [backup-simplify]: Simplify (/ -1 1) into -1 9.305 * [taylor]: Taking taylor expansion of (/ -1 im) in im 9.305 * [taylor]: Taking taylor expansion of -1 in im 9.305 * [backup-simplify]: Simplify -1 into -1 9.305 * [taylor]: Taking taylor expansion of im in im 9.305 * [backup-simplify]: Simplify 0 into 0 9.305 * [backup-simplify]: Simplify 1 into 1 9.305 * [backup-simplify]: Simplify (/ -1 1) into -1 9.306 * [backup-simplify]: Simplify (* -1 -1) into 1 9.306 * [backup-simplify]: Simplify (+ 0 1) into 1 9.306 * [backup-simplify]: Simplify (sqrt 1) into 1 9.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.308 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.309 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.309 * [backup-simplify]: Simplify (+ 0 0) into 0 9.310 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.310 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 9.310 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 9.310 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 9.310 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 9.310 * [taylor]: Taking taylor expansion of (/ -1 re) in re 9.310 * [taylor]: Taking taylor expansion of -1 in re 9.310 * [backup-simplify]: Simplify -1 into -1 9.310 * [taylor]: Taking taylor expansion of re in re 9.310 * [backup-simplify]: Simplify 0 into 0 9.310 * [backup-simplify]: Simplify 1 into 1 9.310 * [backup-simplify]: Simplify (/ -1 1) into -1 9.310 * [taylor]: Taking taylor expansion of (/ -1 re) in re 9.310 * [taylor]: Taking taylor expansion of -1 in re 9.311 * [backup-simplify]: Simplify -1 into -1 9.311 * [taylor]: Taking taylor expansion of re in re 9.311 * [backup-simplify]: Simplify 0 into 0 9.311 * [backup-simplify]: Simplify 1 into 1 9.311 * [backup-simplify]: Simplify (/ -1 1) into -1 9.311 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 9.311 * [taylor]: Taking taylor expansion of (/ -1 im) in re 9.311 * [taylor]: Taking taylor expansion of -1 in re 9.311 * [backup-simplify]: Simplify -1 into -1 9.311 * [taylor]: Taking taylor expansion of im in re 9.311 * [backup-simplify]: Simplify im into im 9.311 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 9.311 * [taylor]: Taking taylor expansion of (/ -1 im) in re 9.311 * [taylor]: Taking taylor expansion of -1 in re 9.311 * [backup-simplify]: Simplify -1 into -1 9.311 * [taylor]: Taking taylor expansion of im in re 9.311 * [backup-simplify]: Simplify im into im 9.311 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 9.312 * [backup-simplify]: Simplify (* -1 -1) into 1 9.312 * [backup-simplify]: Simplify (+ 1 0) into 1 9.313 * [backup-simplify]: Simplify (sqrt 1) into 1 9.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.314 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.315 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.315 * [backup-simplify]: Simplify (+ 0 0) into 0 9.316 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.316 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 9.316 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 9.316 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 9.316 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 9.316 * [taylor]: Taking taylor expansion of (/ -1 re) in re 9.316 * [taylor]: Taking taylor expansion of -1 in re 9.316 * [backup-simplify]: Simplify -1 into -1 9.316 * [taylor]: Taking taylor expansion of re in re 9.317 * [backup-simplify]: Simplify 0 into 0 9.317 * [backup-simplify]: Simplify 1 into 1 9.317 * [backup-simplify]: Simplify (/ -1 1) into -1 9.317 * [taylor]: Taking taylor expansion of (/ -1 re) in re 9.317 * [taylor]: Taking taylor expansion of -1 in re 9.317 * [backup-simplify]: Simplify -1 into -1 9.317 * [taylor]: Taking taylor expansion of re in re 9.317 * [backup-simplify]: Simplify 0 into 0 9.317 * [backup-simplify]: Simplify 1 into 1 9.318 * [backup-simplify]: Simplify (/ -1 1) into -1 9.318 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 9.318 * [taylor]: Taking taylor expansion of (/ -1 im) in re 9.318 * [taylor]: Taking taylor expansion of -1 in re 9.318 * [backup-simplify]: Simplify -1 into -1 9.318 * [taylor]: Taking taylor expansion of im in re 9.318 * [backup-simplify]: Simplify im into im 9.318 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 9.318 * [taylor]: Taking taylor expansion of (/ -1 im) in re 9.318 * [taylor]: Taking taylor expansion of -1 in re 9.318 * [backup-simplify]: Simplify -1 into -1 9.318 * [taylor]: Taking taylor expansion of im in re 9.318 * [backup-simplify]: Simplify im into im 9.318 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 9.318 * [backup-simplify]: Simplify (* -1 -1) into 1 9.319 * [backup-simplify]: Simplify (+ 1 0) into 1 9.319 * [backup-simplify]: Simplify (sqrt 1) into 1 9.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.321 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.321 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.322 * [backup-simplify]: Simplify (+ 0 0) into 0 9.322 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.323 * [taylor]: Taking taylor expansion of 1 in im 9.323 * [backup-simplify]: Simplify 1 into 1 9.323 * [taylor]: Taking taylor expansion of 0 in im 9.323 * [backup-simplify]: Simplify 0 into 0 9.323 * [backup-simplify]: Simplify 1 into 1 9.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.325 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.326 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 9.326 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 9.326 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 9.327 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 9.327 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 9.327 * [taylor]: Taking taylor expansion of 1/2 in im 9.328 * [backup-simplify]: Simplify 1/2 into 1/2 9.328 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.328 * [taylor]: Taking taylor expansion of im in im 9.328 * [backup-simplify]: Simplify 0 into 0 9.328 * [backup-simplify]: Simplify 1 into 1 9.328 * [backup-simplify]: Simplify (* 1 1) into 1 9.328 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.329 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.330 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.330 * [backup-simplify]: Simplify 0 into 0 9.330 * [backup-simplify]: Simplify 0 into 0 9.330 * [backup-simplify]: Simplify 0 into 0 9.331 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.332 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.333 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 9.333 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 9.334 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 9.334 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 9.334 * [backup-simplify]: Simplify (+ 0 0) into 0 9.335 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 9.335 * [taylor]: Taking taylor expansion of 0 in im 9.335 * [backup-simplify]: Simplify 0 into 0 9.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.337 * [backup-simplify]: Simplify 0 into 0 9.337 * [backup-simplify]: Simplify 0 into 0 9.337 * [backup-simplify]: Simplify 0 into 0 9.337 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 9.337 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 2 1) 9.337 * [backup-simplify]: Simplify (sqrt (sqrt (hypot re im))) into (pow (hypot re im) 1/4) 9.337 * [approximate]: Taking taylor expansion of (pow (hypot re im) 1/4) in (re im) around 0 9.337 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/4) in im 9.337 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot re im)))) in im 9.337 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot re im))) in im 9.337 * [taylor]: Taking taylor expansion of 1/4 in im 9.337 * [backup-simplify]: Simplify 1/4 into 1/4 9.337 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im 9.337 * [taylor]: Taking taylor expansion of (hypot re im) in im 9.338 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 9.338 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 9.338 * [taylor]: Taking taylor expansion of (* re re) in im 9.338 * [taylor]: Taking taylor expansion of re in im 9.338 * [backup-simplify]: Simplify re into re 9.338 * [taylor]: Taking taylor expansion of re in im 9.338 * [backup-simplify]: Simplify re into re 9.338 * [taylor]: Taking taylor expansion of (* im im) in im 9.338 * [taylor]: Taking taylor expansion of im in im 9.338 * [backup-simplify]: Simplify 0 into 0 9.338 * [backup-simplify]: Simplify 1 into 1 9.338 * [taylor]: Taking taylor expansion of im in im 9.338 * [backup-simplify]: Simplify 0 into 0 9.338 * [backup-simplify]: Simplify 1 into 1 9.338 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.338 * [backup-simplify]: Simplify (* 0 0) into 0 9.339 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 9.339 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 9.339 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 9.339 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.340 * [backup-simplify]: Simplify (+ 0 0) into 0 9.340 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 9.340 * [backup-simplify]: Simplify (log re) into (log re) 9.340 * [backup-simplify]: Simplify (* 1/4 (log re)) into (* 1/4 (log re)) 9.340 * [backup-simplify]: Simplify (exp (* 1/4 (log re))) into (pow re 1/4) 9.340 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/4) in re 9.340 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot re im)))) in re 9.340 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot re im))) in re 9.340 * [taylor]: Taking taylor expansion of 1/4 in re 9.340 * [backup-simplify]: Simplify 1/4 into 1/4 9.340 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 9.340 * [taylor]: Taking taylor expansion of (hypot re im) in re 9.341 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 9.341 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 9.341 * [taylor]: Taking taylor expansion of (* re re) in re 9.341 * [taylor]: Taking taylor expansion of re in re 9.341 * [backup-simplify]: Simplify 0 into 0 9.341 * [backup-simplify]: Simplify 1 into 1 9.341 * [taylor]: Taking taylor expansion of re in re 9.341 * [backup-simplify]: Simplify 0 into 0 9.341 * [backup-simplify]: Simplify 1 into 1 9.341 * [taylor]: Taking taylor expansion of (* im im) in re 9.341 * [taylor]: Taking taylor expansion of im in re 9.341 * [backup-simplify]: Simplify im into im 9.341 * [taylor]: Taking taylor expansion of im in re 9.341 * [backup-simplify]: Simplify im into im 9.341 * [backup-simplify]: Simplify (* 0 0) into 0 9.341 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.342 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 9.342 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 9.342 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.342 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.343 * [backup-simplify]: Simplify (+ 0 0) into 0 9.343 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 9.343 * [backup-simplify]: Simplify (log im) into (log im) 9.343 * [backup-simplify]: Simplify (* 1/4 (log im)) into (* 1/4 (log im)) 9.343 * [backup-simplify]: Simplify (exp (* 1/4 (log im))) into (pow im 1/4) 9.343 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/4) in re 9.343 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot re im)))) in re 9.343 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot re im))) in re 9.343 * [taylor]: Taking taylor expansion of 1/4 in re 9.343 * [backup-simplify]: Simplify 1/4 into 1/4 9.343 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 9.343 * [taylor]: Taking taylor expansion of (hypot re im) in re 9.344 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 9.344 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 9.344 * [taylor]: Taking taylor expansion of (* re re) in re 9.344 * [taylor]: Taking taylor expansion of re in re 9.344 * [backup-simplify]: Simplify 0 into 0 9.344 * [backup-simplify]: Simplify 1 into 1 9.344 * [taylor]: Taking taylor expansion of re in re 9.344 * [backup-simplify]: Simplify 0 into 0 9.344 * [backup-simplify]: Simplify 1 into 1 9.344 * [taylor]: Taking taylor expansion of (* im im) in re 9.344 * [taylor]: Taking taylor expansion of im in re 9.344 * [backup-simplify]: Simplify im into im 9.344 * [taylor]: Taking taylor expansion of im in re 9.344 * [backup-simplify]: Simplify im into im 9.344 * [backup-simplify]: Simplify (* 0 0) into 0 9.344 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.344 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 9.345 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 9.345 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.345 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.346 * [backup-simplify]: Simplify (+ 0 0) into 0 9.346 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 9.346 * [backup-simplify]: Simplify (log im) into (log im) 9.346 * [backup-simplify]: Simplify (* 1/4 (log im)) into (* 1/4 (log im)) 9.346 * [backup-simplify]: Simplify (exp (* 1/4 (log im))) into (pow im 1/4) 9.346 * [taylor]: Taking taylor expansion of (pow im 1/4) in im 9.346 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log im))) in im 9.346 * [taylor]: Taking taylor expansion of (* 1/4 (log im)) in im 9.346 * [taylor]: Taking taylor expansion of 1/4 in im 9.346 * [backup-simplify]: Simplify 1/4 into 1/4 9.346 * [taylor]: Taking taylor expansion of (log im) in im 9.346 * [taylor]: Taking taylor expansion of im in im 9.346 * [backup-simplify]: Simplify 0 into 0 9.346 * [backup-simplify]: Simplify 1 into 1 9.347 * [backup-simplify]: Simplify (log 1) into 0 9.347 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 9.347 * [backup-simplify]: Simplify (* 1/4 (log im)) into (* 1/4 (log im)) 9.347 * [backup-simplify]: Simplify (exp (* 1/4 (log im))) into (pow im 1/4) 9.348 * [backup-simplify]: Simplify (pow im 1/4) into (pow im 1/4) 9.348 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0 9.349 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log im))) into 0 9.350 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 9.350 * [taylor]: Taking taylor expansion of 0 in im 9.350 * [backup-simplify]: Simplify 0 into 0 9.350 * [backup-simplify]: Simplify 0 into 0 9.351 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 9.352 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 9.352 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log im))) into 0 9.353 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 9.353 * [backup-simplify]: Simplify 0 into 0 9.354 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 9.354 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 9.355 * [backup-simplify]: Simplify (+ 1 0) into 1 9.355 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 9.357 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow im 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 im)) 1)) (pow im 1)))) 2) into (/ 1/2 (pow im 2)) 9.357 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im)))) into (* 1/8 (/ 1 (pow im 2))) 9.359 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)))) into (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) 9.359 * [taylor]: Taking taylor expansion of (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) in im 9.359 * [taylor]: Taking taylor expansion of 1/8 in im 9.359 * [backup-simplify]: Simplify 1/8 into 1/8 9.359 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 7)) 1/4) in im 9.359 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow im 7))))) in im 9.359 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow im 7)))) in im 9.359 * [taylor]: Taking taylor expansion of 1/4 in im 9.359 * [backup-simplify]: Simplify 1/4 into 1/4 9.359 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 7))) in im 9.359 * [taylor]: Taking taylor expansion of (/ 1 (pow im 7)) in im 9.359 * [taylor]: Taking taylor expansion of (pow im 7) in im 9.359 * [taylor]: Taking taylor expansion of im in im 9.359 * [backup-simplify]: Simplify 0 into 0 9.359 * [backup-simplify]: Simplify 1 into 1 9.359 * [backup-simplify]: Simplify (* 1 1) into 1 9.360 * [backup-simplify]: Simplify (* 1 1) into 1 9.360 * [backup-simplify]: Simplify (* 1 1) into 1 9.361 * [backup-simplify]: Simplify (* 1 1) into 1 9.361 * [backup-simplify]: Simplify (/ 1 1) into 1 9.361 * [backup-simplify]: Simplify (log 1) into 0 9.362 * [backup-simplify]: Simplify (+ (* (- 7) (log im)) 0) into (- (* 7 (log im))) 9.362 * [backup-simplify]: Simplify (* 1/4 (- (* 7 (log im)))) into (* -7/4 (log im)) 9.362 * [backup-simplify]: Simplify (exp (* -7/4 (log im))) into (pow im -7/4) 9.362 * [backup-simplify]: Simplify (* 1/8 (pow im -7/4)) into (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) 9.363 * [backup-simplify]: Simplify (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) into (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) 9.363 * [backup-simplify]: Simplify 0 into 0 9.366 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 9.366 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 9.367 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log im)))) into 0 9.368 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.368 * [backup-simplify]: Simplify 0 into 0 9.370 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 9.371 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 9.371 * [backup-simplify]: Simplify (+ 0 0) into 0 9.371 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 9.374 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow im 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 im)) 1)) (pow im 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow im 1)))) 6) into 0 9.375 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im))))) into 0 9.378 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 9.378 * [taylor]: Taking taylor expansion of 0 in im 9.378 * [backup-simplify]: Simplify 0 into 0 9.378 * [backup-simplify]: Simplify 0 into 0 9.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.383 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 9.384 * [backup-simplify]: Simplify (+ (* (- 7) (log im)) 0) into (- (* 7 (log im))) 9.384 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 7 (log im))))) into 0 9.385 * [backup-simplify]: Simplify (* (exp (* -7/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 9.386 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (pow im -7/4))) into 0 9.386 * [backup-simplify]: Simplify 0 into 0 9.386 * [backup-simplify]: Simplify 0 into 0 9.391 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 9.392 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 9.393 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log im))))) into 0 9.395 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 9.395 * [backup-simplify]: Simplify 0 into 0 9.396 * [backup-simplify]: Simplify (+ (* (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) (pow (* 1 re) 2)) (pow im 1/4)) into (+ (* 1/8 (* (pow re 2) (pow (/ 1 (pow im 7)) 1/4))) (pow im 1/4)) 9.396 * [backup-simplify]: Simplify (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) into (pow (hypot (/ 1 re) (/ 1 im)) 1/4) 9.396 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in (re im) around 0 9.396 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in im 9.396 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ 1 re) (/ 1 im))))) in im 9.396 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ 1 re) (/ 1 im)))) in im 9.396 * [taylor]: Taking taylor expansion of 1/4 in im 9.396 * [backup-simplify]: Simplify 1/4 into 1/4 9.396 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im 9.396 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 9.396 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 9.396 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 9.396 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 9.396 * [taylor]: Taking taylor expansion of (/ 1 re) in im 9.396 * [taylor]: Taking taylor expansion of re in im 9.397 * [backup-simplify]: Simplify re into re 9.397 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 9.397 * [taylor]: Taking taylor expansion of (/ 1 re) in im 9.397 * [taylor]: Taking taylor expansion of re in im 9.397 * [backup-simplify]: Simplify re into re 9.397 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 9.397 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 9.397 * [taylor]: Taking taylor expansion of (/ 1 im) in im 9.397 * [taylor]: Taking taylor expansion of im in im 9.397 * [backup-simplify]: Simplify 0 into 0 9.397 * [backup-simplify]: Simplify 1 into 1 9.404 * [backup-simplify]: Simplify (/ 1 1) into 1 9.404 * [taylor]: Taking taylor expansion of (/ 1 im) in im 9.404 * [taylor]: Taking taylor expansion of im in im 9.404 * [backup-simplify]: Simplify 0 into 0 9.404 * [backup-simplify]: Simplify 1 into 1 9.405 * [backup-simplify]: Simplify (/ 1 1) into 1 9.405 * [backup-simplify]: Simplify (* 1 1) into 1 9.406 * [backup-simplify]: Simplify (+ 0 1) into 1 9.406 * [backup-simplify]: Simplify (sqrt 1) into 1 9.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.409 * [backup-simplify]: Simplify (+ 0 0) into 0 9.409 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.410 * [backup-simplify]: Simplify (log 1) into 0 9.410 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im)) 9.410 * [backup-simplify]: Simplify (* 1/4 (- (log im))) into (* -1/4 (log im)) 9.410 * [backup-simplify]: Simplify (exp (* -1/4 (log im))) into (pow im -1/4) 9.411 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in re 9.411 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ 1 re) (/ 1 im))))) in re 9.411 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ 1 re) (/ 1 im)))) in re 9.411 * [taylor]: Taking taylor expansion of 1/4 in re 9.411 * [backup-simplify]: Simplify 1/4 into 1/4 9.411 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 9.411 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 9.411 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 9.411 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 9.411 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 9.411 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.411 * [taylor]: Taking taylor expansion of re in re 9.411 * [backup-simplify]: Simplify 0 into 0 9.411 * [backup-simplify]: Simplify 1 into 1 9.411 * [backup-simplify]: Simplify (/ 1 1) into 1 9.411 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.412 * [taylor]: Taking taylor expansion of re in re 9.412 * [backup-simplify]: Simplify 0 into 0 9.412 * [backup-simplify]: Simplify 1 into 1 9.412 * [backup-simplify]: Simplify (/ 1 1) into 1 9.412 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 9.412 * [taylor]: Taking taylor expansion of (/ 1 im) in re 9.412 * [taylor]: Taking taylor expansion of im in re 9.412 * [backup-simplify]: Simplify im into im 9.412 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 9.412 * [taylor]: Taking taylor expansion of (/ 1 im) in re 9.412 * [taylor]: Taking taylor expansion of im in re 9.412 * [backup-simplify]: Simplify im into im 9.412 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 9.413 * [backup-simplify]: Simplify (* 1 1) into 1 9.413 * [backup-simplify]: Simplify (+ 1 0) into 1 9.413 * [backup-simplify]: Simplify (sqrt 1) into 1 9.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.415 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.416 * [backup-simplify]: Simplify (+ 0 0) into 0 9.416 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.417 * [backup-simplify]: Simplify (log 1) into 0 9.417 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 9.417 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re)) 9.417 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 9.418 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in re 9.418 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ 1 re) (/ 1 im))))) in re 9.418 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ 1 re) (/ 1 im)))) in re 9.418 * [taylor]: Taking taylor expansion of 1/4 in re 9.418 * [backup-simplify]: Simplify 1/4 into 1/4 9.418 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 9.418 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 9.418 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 9.418 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 9.418 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 9.418 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.418 * [taylor]: Taking taylor expansion of re in re 9.418 * [backup-simplify]: Simplify 0 into 0 9.418 * [backup-simplify]: Simplify 1 into 1 9.418 * [backup-simplify]: Simplify (/ 1 1) into 1 9.418 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.418 * [taylor]: Taking taylor expansion of re in re 9.419 * [backup-simplify]: Simplify 0 into 0 9.419 * [backup-simplify]: Simplify 1 into 1 9.419 * [backup-simplify]: Simplify (/ 1 1) into 1 9.419 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 9.419 * [taylor]: Taking taylor expansion of (/ 1 im) in re 9.419 * [taylor]: Taking taylor expansion of im in re 9.419 * [backup-simplify]: Simplify im into im 9.419 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 9.419 * [taylor]: Taking taylor expansion of (/ 1 im) in re 9.419 * [taylor]: Taking taylor expansion of im in re 9.419 * [backup-simplify]: Simplify im into im 9.419 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 9.420 * [backup-simplify]: Simplify (* 1 1) into 1 9.420 * [backup-simplify]: Simplify (+ 1 0) into 1 9.420 * [backup-simplify]: Simplify (sqrt 1) into 1 9.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.423 * [backup-simplify]: Simplify (+ 0 0) into 0 9.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.424 * [backup-simplify]: Simplify (log 1) into 0 9.424 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 9.425 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re)) 9.425 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 9.425 * [taylor]: Taking taylor expansion of (pow re -1/4) in im 9.425 * [taylor]: Taking taylor expansion of (exp (* -1/4 (log re))) in im 9.425 * [taylor]: Taking taylor expansion of (* -1/4 (log re)) in im 9.425 * [taylor]: Taking taylor expansion of -1/4 in im 9.425 * [backup-simplify]: Simplify -1/4 into -1/4 9.425 * [taylor]: Taking taylor expansion of (log re) in im 9.425 * [taylor]: Taking taylor expansion of re in im 9.425 * [backup-simplify]: Simplify re into re 9.425 * [backup-simplify]: Simplify (log re) into (log re) 9.425 * [backup-simplify]: Simplify (* -1/4 (log re)) into (* -1/4 (log re)) 9.425 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 9.425 * [backup-simplify]: Simplify (pow re -1/4) into (pow re -1/4) 9.427 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 9.427 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 9.428 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log re)))) into 0 9.429 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 9.429 * [taylor]: Taking taylor expansion of 0 in im 9.429 * [backup-simplify]: Simplify 0 into 0 9.429 * [backup-simplify]: Simplify 0 into 0 9.430 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 9.430 * [backup-simplify]: Simplify (+ (* -1/4 0) (* 0 (log re))) into 0 9.431 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 9.431 * [backup-simplify]: Simplify 0 into 0 9.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.434 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 9.434 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 9.436 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 9.438 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2)) 9.438 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 9.439 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/8 (/ 1 (pow im 2))) 9.440 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)))) into (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 9.440 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) in im 9.440 * [taylor]: Taking taylor expansion of 1/8 in im 9.440 * [backup-simplify]: Simplify 1/8 into 1/8 9.440 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))) in im 9.440 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/4) in im 9.440 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 re)))) in im 9.440 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 re))) in im 9.440 * [taylor]: Taking taylor expansion of 1/4 in im 9.440 * [backup-simplify]: Simplify 1/4 into 1/4 9.440 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 9.440 * [taylor]: Taking taylor expansion of (/ 1 re) in im 9.440 * [taylor]: Taking taylor expansion of re in im 9.440 * [backup-simplify]: Simplify re into re 9.440 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 9.440 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re)) 9.441 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 re))) into (* 1/4 (log (/ 1 re))) 9.441 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 re)))) into (pow (/ 1 re) 1/4) 9.441 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.441 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.441 * [taylor]: Taking taylor expansion of im in im 9.441 * [backup-simplify]: Simplify 0 into 0 9.441 * [backup-simplify]: Simplify 1 into 1 9.441 * [backup-simplify]: Simplify (* 1 1) into 1 9.442 * [backup-simplify]: Simplify (/ 1 1) into 1 9.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.445 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 9.446 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0 9.447 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 re)))) into 0 9.447 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0 9.448 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 9.449 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 re) 1)))) 2) into 0 9.450 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0 9.452 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.452 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/4) 0) (+ (* 0 0) (* 0 1))) into 0 9.453 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/4) 0) (* 0 1)) into 0 9.453 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/4) 1) into (pow (/ 1 re) 1/4) 9.454 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/4)))) into 0 9.454 * [backup-simplify]: Simplify 0 into 0 9.454 * [backup-simplify]: Simplify 0 into 0 9.456 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 9.457 * [backup-simplify]: Simplify (+ (* -1/4 0) (+ (* 0 0) (* 0 (log re)))) into 0 9.458 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.458 * [backup-simplify]: Simplify 0 into 0 9.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.462 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 9.462 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 9.462 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 9.462 * [backup-simplify]: Simplify (+ 0 0) into 0 9.463 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 9.467 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 9.467 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 9.468 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0 9.470 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 9.470 * [taylor]: Taking taylor expansion of 0 in im 9.470 * [backup-simplify]: Simplify 0 into 0 9.470 * [backup-simplify]: Simplify 0 into 0 9.471 * [backup-simplify]: Simplify (pow (/ 1 re) -1/4) into (pow (/ 1 re) -1/4) 9.471 * [backup-simplify]: Simplify (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) into (pow (hypot (/ -1 re) (/ -1 im)) 1/4) 9.471 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in (re im) around 0 9.471 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in im 9.471 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ -1 re) (/ -1 im))))) in im 9.471 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ -1 re) (/ -1 im)))) in im 9.471 * [taylor]: Taking taylor expansion of 1/4 in im 9.471 * [backup-simplify]: Simplify 1/4 into 1/4 9.471 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im 9.471 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 9.471 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 9.471 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 9.471 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 9.471 * [taylor]: Taking taylor expansion of (/ -1 re) in im 9.471 * [taylor]: Taking taylor expansion of -1 in im 9.471 * [backup-simplify]: Simplify -1 into -1 9.472 * [taylor]: Taking taylor expansion of re in im 9.472 * [backup-simplify]: Simplify re into re 9.472 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 9.472 * [taylor]: Taking taylor expansion of (/ -1 re) in im 9.472 * [taylor]: Taking taylor expansion of -1 in im 9.472 * [backup-simplify]: Simplify -1 into -1 9.472 * [taylor]: Taking taylor expansion of re in im 9.472 * [backup-simplify]: Simplify re into re 9.472 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 9.472 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 9.472 * [taylor]: Taking taylor expansion of (/ -1 im) in im 9.472 * [taylor]: Taking taylor expansion of -1 in im 9.472 * [backup-simplify]: Simplify -1 into -1 9.472 * [taylor]: Taking taylor expansion of im in im 9.472 * [backup-simplify]: Simplify 0 into 0 9.472 * [backup-simplify]: Simplify 1 into 1 9.472 * [backup-simplify]: Simplify (/ -1 1) into -1 9.473 * [taylor]: Taking taylor expansion of (/ -1 im) in im 9.473 * [taylor]: Taking taylor expansion of -1 in im 9.473 * [backup-simplify]: Simplify -1 into -1 9.473 * [taylor]: Taking taylor expansion of im in im 9.473 * [backup-simplify]: Simplify 0 into 0 9.473 * [backup-simplify]: Simplify 1 into 1 9.473 * [backup-simplify]: Simplify (/ -1 1) into -1 9.473 * [backup-simplify]: Simplify (* -1 -1) into 1 9.474 * [backup-simplify]: Simplify (+ 0 1) into 1 9.474 * [backup-simplify]: Simplify (sqrt 1) into 1 9.475 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.476 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.477 * [backup-simplify]: Simplify (+ 0 0) into 0 9.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.478 * [backup-simplify]: Simplify (log 1) into 0 9.478 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im)) 9.478 * [backup-simplify]: Simplify (* 1/4 (- (log im))) into (* -1/4 (log im)) 9.479 * [backup-simplify]: Simplify (exp (* -1/4 (log im))) into (pow im -1/4) 9.479 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in re 9.479 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ -1 re) (/ -1 im))))) in re 9.479 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ -1 re) (/ -1 im)))) in re 9.479 * [taylor]: Taking taylor expansion of 1/4 in re 9.479 * [backup-simplify]: Simplify 1/4 into 1/4 9.479 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 9.479 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 9.479 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 9.479 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 9.479 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 9.479 * [taylor]: Taking taylor expansion of (/ -1 re) in re 9.479 * [taylor]: Taking taylor expansion of -1 in re 9.479 * [backup-simplify]: Simplify -1 into -1 9.479 * [taylor]: Taking taylor expansion of re in re 9.479 * [backup-simplify]: Simplify 0 into 0 9.479 * [backup-simplify]: Simplify 1 into 1 9.480 * [backup-simplify]: Simplify (/ -1 1) into -1 9.480 * [taylor]: Taking taylor expansion of (/ -1 re) in re 9.480 * [taylor]: Taking taylor expansion of -1 in re 9.480 * [backup-simplify]: Simplify -1 into -1 9.480 * [taylor]: Taking taylor expansion of re in re 9.480 * [backup-simplify]: Simplify 0 into 0 9.480 * [backup-simplify]: Simplify 1 into 1 9.480 * [backup-simplify]: Simplify (/ -1 1) into -1 9.480 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 9.480 * [taylor]: Taking taylor expansion of (/ -1 im) in re 9.480 * [taylor]: Taking taylor expansion of -1 in re 9.480 * [backup-simplify]: Simplify -1 into -1 9.480 * [taylor]: Taking taylor expansion of im in re 9.480 * [backup-simplify]: Simplify im into im 9.481 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 9.481 * [taylor]: Taking taylor expansion of (/ -1 im) in re 9.481 * [taylor]: Taking taylor expansion of -1 in re 9.481 * [backup-simplify]: Simplify -1 into -1 9.481 * [taylor]: Taking taylor expansion of im in re 9.481 * [backup-simplify]: Simplify im into im 9.481 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 9.481 * [backup-simplify]: Simplify (* -1 -1) into 1 9.482 * [backup-simplify]: Simplify (+ 1 0) into 1 9.482 * [backup-simplify]: Simplify (sqrt 1) into 1 9.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.484 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.484 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.485 * [backup-simplify]: Simplify (+ 0 0) into 0 9.485 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.486 * [backup-simplify]: Simplify (log 1) into 0 9.486 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 9.486 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re)) 9.486 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 9.486 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in re 9.486 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ -1 re) (/ -1 im))))) in re 9.486 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ -1 re) (/ -1 im)))) in re 9.486 * [taylor]: Taking taylor expansion of 1/4 in re 9.486 * [backup-simplify]: Simplify 1/4 into 1/4 9.487 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 9.487 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 9.487 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 9.487 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 9.487 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 9.487 * [taylor]: Taking taylor expansion of (/ -1 re) in re 9.487 * [taylor]: Taking taylor expansion of -1 in re 9.487 * [backup-simplify]: Simplify -1 into -1 9.487 * [taylor]: Taking taylor expansion of re in re 9.487 * [backup-simplify]: Simplify 0 into 0 9.487 * [backup-simplify]: Simplify 1 into 1 9.487 * [backup-simplify]: Simplify (/ -1 1) into -1 9.487 * [taylor]: Taking taylor expansion of (/ -1 re) in re 9.487 * [taylor]: Taking taylor expansion of -1 in re 9.487 * [backup-simplify]: Simplify -1 into -1 9.488 * [taylor]: Taking taylor expansion of re in re 9.488 * [backup-simplify]: Simplify 0 into 0 9.488 * [backup-simplify]: Simplify 1 into 1 9.488 * [backup-simplify]: Simplify (/ -1 1) into -1 9.488 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 9.488 * [taylor]: Taking taylor expansion of (/ -1 im) in re 9.488 * [taylor]: Taking taylor expansion of -1 in re 9.488 * [backup-simplify]: Simplify -1 into -1 9.488 * [taylor]: Taking taylor expansion of im in re 9.488 * [backup-simplify]: Simplify im into im 9.488 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 9.488 * [taylor]: Taking taylor expansion of (/ -1 im) in re 9.488 * [taylor]: Taking taylor expansion of -1 in re 9.488 * [backup-simplify]: Simplify -1 into -1 9.488 * [taylor]: Taking taylor expansion of im in re 9.488 * [backup-simplify]: Simplify im into im 9.488 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 9.489 * [backup-simplify]: Simplify (* -1 -1) into 1 9.489 * [backup-simplify]: Simplify (+ 1 0) into 1 9.490 * [backup-simplify]: Simplify (sqrt 1) into 1 9.490 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.491 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.492 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.492 * [backup-simplify]: Simplify (+ 0 0) into 0 9.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.493 * [backup-simplify]: Simplify (log 1) into 0 9.494 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 9.494 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re)) 9.494 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 9.494 * [taylor]: Taking taylor expansion of (pow re -1/4) in im 9.494 * [taylor]: Taking taylor expansion of (exp (* -1/4 (log re))) in im 9.494 * [taylor]: Taking taylor expansion of (* -1/4 (log re)) in im 9.494 * [taylor]: Taking taylor expansion of -1/4 in im 9.494 * [backup-simplify]: Simplify -1/4 into -1/4 9.494 * [taylor]: Taking taylor expansion of (log re) in im 9.494 * [taylor]: Taking taylor expansion of re in im 9.494 * [backup-simplify]: Simplify re into re 9.494 * [backup-simplify]: Simplify (log re) into (log re) 9.494 * [backup-simplify]: Simplify (* -1/4 (log re)) into (* -1/4 (log re)) 9.494 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 9.495 * [backup-simplify]: Simplify (pow re -1/4) into (pow re -1/4) 9.496 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 9.496 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 9.497 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log re)))) into 0 9.498 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 9.498 * [taylor]: Taking taylor expansion of 0 in im 9.498 * [backup-simplify]: Simplify 0 into 0 9.498 * [backup-simplify]: Simplify 0 into 0 9.499 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 9.499 * [backup-simplify]: Simplify (+ (* -1/4 0) (* 0 (log re))) into 0 9.500 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 9.500 * [backup-simplify]: Simplify 0 into 0 9.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.504 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 9.504 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 9.504 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 9.505 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 9.508 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2)) 9.508 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 9.509 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/8 (/ 1 (pow im 2))) 9.510 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)))) into (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 9.510 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) in im 9.510 * [taylor]: Taking taylor expansion of 1/8 in im 9.510 * [backup-simplify]: Simplify 1/8 into 1/8 9.510 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))) in im 9.510 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/4) in im 9.510 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 re)))) in im 9.510 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 re))) in im 9.510 * [taylor]: Taking taylor expansion of 1/4 in im 9.510 * [backup-simplify]: Simplify 1/4 into 1/4 9.510 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 9.510 * [taylor]: Taking taylor expansion of (/ 1 re) in im 9.510 * [taylor]: Taking taylor expansion of re in im 9.510 * [backup-simplify]: Simplify re into re 9.510 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 9.510 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re)) 9.510 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 re))) into (* 1/4 (log (/ 1 re))) 9.510 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 re)))) into (pow (/ 1 re) 1/4) 9.510 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.510 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.511 * [taylor]: Taking taylor expansion of im in im 9.511 * [backup-simplify]: Simplify 0 into 0 9.511 * [backup-simplify]: Simplify 1 into 1 9.511 * [backup-simplify]: Simplify (* 1 1) into 1 9.511 * [backup-simplify]: Simplify (/ 1 1) into 1 9.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.514 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 9.515 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0 9.516 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 re)))) into 0 9.517 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0 9.517 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 9.519 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 re) 1)))) 2) into 0 9.520 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0 9.522 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.522 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/4) 0) (+ (* 0 0) (* 0 1))) into 0 9.523 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/4) 0) (* 0 1)) into 0 9.523 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/4) 1) into (pow (/ 1 re) 1/4) 9.524 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/4)))) into 0 9.524 * [backup-simplify]: Simplify 0 into 0 9.524 * [backup-simplify]: Simplify 0 into 0 9.526 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 9.527 * [backup-simplify]: Simplify (+ (* -1/4 0) (+ (* 0 0) (* 0 (log re)))) into 0 9.528 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.528 * [backup-simplify]: Simplify 0 into 0 9.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.530 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.532 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 9.532 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 9.532 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 9.532 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 9.533 * [backup-simplify]: Simplify (+ 0 0) into 0 9.533 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 9.537 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 9.537 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 9.539 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0 9.541 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 9.541 * [taylor]: Taking taylor expansion of 0 in im 9.541 * [backup-simplify]: Simplify 0 into 0 9.541 * [backup-simplify]: Simplify 0 into 0 9.541 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -1/4) into (pow (/ -1 re) -1/4) 9.541 * * * [progress]: simplifying candidates 9.546 * [simplify]: Simplifying: (fma (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3) (- (* re 1))) (fma (- re) 1 (* re 1)) (expm1 (- (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)) re)) (log1p (- (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)) re)) (- re) (/ (exp (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3))) (exp re)) (log (- (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)) re)) (exp (- (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)) re)) (* (cbrt (- (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)) re)) (cbrt (- (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)) re))) (cbrt (- (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)) re)) (* (* (- (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)) re) (- (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)) re)) (- (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)) re)) (sqrt (- (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)) re)) (sqrt (- (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)) re)) (- (pow (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)) 3) (pow re 3)) (+ (* (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)) (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3))) (+ (* re re) (* (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)) re))) (- re) (- (* (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)) (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3))) (* re re)) (+ (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)) re) (- re) (expm1 (pow (sqrt (sqrt (hypot re im))) 3)) (log1p (pow (sqrt (sqrt (hypot re im))) 3)) (* (log (sqrt (sqrt (hypot re im)))) 3) (* (log (sqrt (sqrt (hypot re im)))) 3) (* 1/2 3) (* 1 3) (* (/ 1/2 2) 3) (* (/ 1 2) 3) (* (/ (/ 1 2) 2) 3) (pow (sqrt (sqrt (hypot re im))) (* (cbrt 3) (cbrt 3))) (pow (sqrt (sqrt (hypot re im))) (sqrt 3)) (pow (sqrt (sqrt (hypot re im))) 1) (pow (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) 3) (pow (cbrt (sqrt (sqrt (hypot re im)))) 3) (pow (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) 3) (pow (sqrt (cbrt (sqrt (hypot re im)))) 3) (pow (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) 3) (pow (sqrt (sqrt (cbrt (hypot re im)))) 3) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (pow (sqrt (sqrt 1)) 3) (pow (sqrt (sqrt (hypot re im))) 3) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (pow (sqrt 1) 3) (pow (sqrt (sqrt (hypot re im))) 3) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (pow 1 3) (pow (sqrt (sqrt (hypot re im))) 3) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (log (pow (sqrt (sqrt (hypot re im))) 3)) (exp (pow (sqrt (sqrt (hypot re im))) 3)) (* (cbrt (pow (sqrt (sqrt (hypot re im))) 3)) (cbrt (pow (sqrt (sqrt (hypot re im))) 3))) (cbrt (pow (sqrt (sqrt (hypot re im))) 3)) (* (* (pow (sqrt (sqrt (hypot re im))) 3) (pow (sqrt (sqrt (hypot re im))) 3)) (pow (sqrt (sqrt (hypot re im))) 3)) (pow (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) 3) (pow (cbrt (sqrt (sqrt (hypot re im)))) 3) (pow (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) 3) (pow (sqrt (cbrt (sqrt (hypot re im)))) 3) (pow (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) 3) (pow (sqrt (sqrt (cbrt (hypot re im)))) 3) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (pow (sqrt (sqrt 1)) 3) (pow (sqrt (sqrt (hypot re im))) 3) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (pow (sqrt 1) 3) (pow (sqrt (sqrt (hypot re im))) 3) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (pow 1 3) (pow (sqrt (sqrt (hypot re im))) 3) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (/ 3 2) (sqrt (pow (sqrt (sqrt (hypot re im))) 3)) (sqrt (pow (sqrt (sqrt (hypot re im))) 3)) (pow (sqrt (sqrt (hypot re im))) (/ 3 2)) (pow (sqrt (sqrt (hypot re im))) (/ 3 2)) (expm1 (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3))) (log1p (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3))) (+ 1 3) (+ (log (sqrt (sqrt (hypot re im)))) (* (log (sqrt (sqrt (hypot re im)))) 3)) (+ (log (sqrt (sqrt (hypot re im)))) (* (log (sqrt (sqrt (hypot re im)))) 3)) (+ (log (sqrt (sqrt (hypot re im)))) (log (pow (sqrt (sqrt (hypot re im))) 3))) (log (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3))) (exp (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3))) (* (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (* (pow (sqrt (sqrt (hypot re im))) 3) (pow (sqrt (sqrt (hypot re im))) 3)) (pow (sqrt (sqrt (hypot re im))) 3))) (* (cbrt (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3))) (cbrt (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)))) (cbrt (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3))) (* (* (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)) (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3))) (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3))) (sqrt (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3))) (sqrt (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3))) (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)) (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)) (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)) (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)) (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)) (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)) (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)) (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)) (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)) (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)) (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)) (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (pow (sqrt (sqrt (hypot re im))) 3))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (pow (sqrt (sqrt (hypot re im))) 3))) (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (hypot re im))) (/ 3 2))) (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (hypot re im))) (/ 3 2))) (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)) (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)) (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)) (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)) (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)) (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)) (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)) (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)) (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)) (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)) (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)) (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (pow (sqrt (sqrt (hypot re im))) 3))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (pow (sqrt (sqrt (hypot re im))) 3))) (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (hypot re im))) (/ 3 2))) (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (hypot re im))) (/ 3 2))) (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)) (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)) (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)) (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)) (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)) (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)) (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)) (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)) (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)) (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)) (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)) (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (pow (sqrt (sqrt (hypot re im))) 3))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (pow (sqrt (sqrt (hypot re im))) 3))) (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (hypot re im))) (/ 3 2))) (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (hypot re im))) (/ 3 2))) (* (sqrt (sqrt (hypot re im))) (pow (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) 3)) (* (sqrt (sqrt (hypot re im))) (pow (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) 3)) (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) 3)) (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)) (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt 1)) 3)) (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)) (* (sqrt (sqrt (hypot re im))) (pow (sqrt 1) 3)) (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)) (* (sqrt (sqrt (hypot re im))) (pow 1 3)) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (* (cbrt (pow (sqrt (sqrt (hypot re im))) 3)) (cbrt (pow (sqrt (sqrt (hypot re im))) 3)))) (* (sqrt (sqrt (hypot re im))) (pow (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) 3)) (* (sqrt (sqrt (hypot re im))) (pow (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) 3)) (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) 3)) (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)) (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt 1)) 3)) (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)) (* (sqrt (sqrt (hypot re im))) (pow (sqrt 1) 3)) (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3)) (* (sqrt (sqrt (hypot re im))) (pow 1 3)) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (pow (sqrt (sqrt (hypot re im))) 3))) (* (sqrt (sqrt (hypot re im))) 1) (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) (/ 3 2))) (* (cbrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (hypot re im))) 3)) (* (sqrt (cbrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (hypot re im))) 3)) (* (sqrt (sqrt (cbrt (hypot re im)))) (pow (sqrt (sqrt (hypot re im))) 3)) (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (hypot re im))) 3)) (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)) (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (hypot re im))) 3)) (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)) (* (sqrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (hypot re im))) 3)) (* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3)) (expm1 (sqrt (sqrt (hypot re im)))) (log1p (sqrt (sqrt (hypot re im)))) (log (sqrt (sqrt (hypot re im)))) (exp (sqrt (sqrt (hypot re im)))) (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) (cbrt (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (sqrt (cbrt (sqrt (hypot re im)))) (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (sqrt (cbrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt 1)) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))) (sqrt 1) (sqrt (sqrt (hypot re im))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))) (- im re) 0 (* -2 re) (+ (pow im 3/4) (* 3/8 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/4)))) (pow (pow re 3) 1/4) (pow (* -1 (pow re 3)) 1/4) im re (* -1 re) (+ (* 1/8 (* (pow re 2) (pow (/ 1 (pow im 7)) 1/4))) (pow im 1/4)) (pow (/ 1 re) -1/4) (pow (/ -1 re) -1/4) 9.552 * * [simplify]: Extracting # 0 : cost 0 9.552 * * [simplify]: Extracting # 1 : cost 0 9.552 * * [simplify]: Extracting # 2 : cost 0 9.552 * * [simplify]: Extracting # 3 : cost 0 9.552 * * [simplify]: Extracting # 4 : cost 0 9.553 * * [simplify]: Extracting # 5 : cost 0 9.553 * * [simplify]: Extracting # 6 : cost 0 9.553 * * [simplify]: Extracting # 7 : cost 0 9.553 * * [simplify]: Extracting # 8 : cost 0 9.554 * * [simplify]: Extracting # 9 : cost 0 9.554 * * [simplify]: Extracting # 10 : cost 0 9.554 * * [simplify]: iteration 0 : 174 enodes (cost 2600 ) 9.634 * * [simplify]: Extracting # 0 : cost 0 9.636 * * [simplify]: Extracting # 1 : cost 0 9.636 * * [simplify]: Extracting # 2 : cost 0 9.637 * * [simplify]: Extracting # 3 : cost 0 9.638 * * [simplify]: Extracting # 4 : cost 0 9.639 * * [simplify]: iteration 1 : 377 enodes (cost 2193 ) 9.927 * * [simplify]: Extracting # 0 : cost 0 9.930 * * [simplify]: Extracting # 1 : cost 0 9.932 * * [simplify]: Extracting # 2 : cost 0 9.935 * * [simplify]: Extracting # 3 : cost 0 9.938 * * [simplify]: Extracting # 4 : cost 0 9.941 * * [simplify]: iteration 2 : 1145 enodes (cost 1508 ) 10.781 * * [simplify]: Extracting # 0 : cost 0 10.789 * * [simplify]: Extracting # 1 : cost 0 10.795 * * [simplify]: Extracting # 2 : cost 0 10.807 * * [simplify]: Extracting # 3 : cost 0 10.820 * * [simplify]: Extracting # 4 : cost 0 10.833 * * [simplify]: iteration done: 5000 enodes (cost 1343 ) 10.835 * [simplify]: Simplified to: (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (exp (- (hypot re im) re)) (log (- (hypot re im) re)) (exp (- (hypot re im) re)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (pow (- (hypot re im) re) 3) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (- (pow (hypot re im) 3) (pow re 3)) (fma re re (* (hypot re im) (+ re (hypot re im)))) (- re) (fma (hypot re im) (hypot re im) (- (* re re))) (+ re (hypot re im)) (- re) (expm1 (pow (sqrt (sqrt (hypot re im))) 3)) (log1p (pow (sqrt (sqrt (hypot re im))) 3)) (* (log (sqrt (sqrt (hypot re im)))) 3) (* (log (sqrt (sqrt (hypot re im)))) 3) 3/2 3 3/4 3/2 3/4 (pow (sqrt (sqrt (hypot re im))) (* (cbrt 3) (cbrt 3))) (pow (sqrt (sqrt (hypot re im))) (sqrt 3)) (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))) (pow (fabs (cbrt (sqrt (hypot re im)))) 3) (pow (sqrt (cbrt (sqrt (hypot re im)))) 3) (pow (sqrt (fabs (cbrt (hypot re im)))) 3) (pow (sqrt (sqrt (cbrt (hypot re im)))) 3) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) 1 (pow (sqrt (sqrt (hypot re im))) 3) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) 1 (pow (sqrt (sqrt (hypot re im))) 3) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) 1 (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (hypot re im)) (* (log (sqrt (sqrt (hypot re im)))) 3) (exp (pow (sqrt (sqrt (hypot re im))) 3)) (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))) (pow (pow (sqrt (sqrt (hypot re im))) 3) 3) (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))) (pow (fabs (cbrt (sqrt (hypot re im)))) 3) (pow (sqrt (cbrt (sqrt (hypot re im)))) 3) (pow (sqrt (fabs (cbrt (hypot re im)))) 3) (pow (sqrt (sqrt (cbrt (hypot re im)))) 3) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) 1 (pow (sqrt (sqrt (hypot re im))) 3) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) 1 (pow (sqrt (sqrt (hypot re im))) 3) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) 1 (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (hypot re im)) 3/2 (sqrt (pow (sqrt (sqrt (hypot re im))) 3)) (sqrt (pow (sqrt (sqrt (hypot re im))) 3)) (pow (sqrt (sqrt (hypot re im))) 3/2) (pow (sqrt (sqrt (hypot re im))) 3/2) (expm1 (hypot re im)) (log1p (hypot re im)) 4 (log (hypot re im)) (log (hypot re im)) (log (hypot re im)) (log (hypot re im)) (exp (hypot re im)) (pow (hypot re im) 3) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (pow (sqrt (sqrt (hypot re im))) 3))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (pow (sqrt (sqrt (hypot re im))) 3))) (* (pow (sqrt (sqrt (hypot re im))) 3/2) (sqrt (sqrt (sqrt (hypot re im))))) (* (pow (sqrt (sqrt (hypot re im))) 3/2) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (pow (sqrt (sqrt (hypot re im))) 3))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (pow (sqrt (sqrt (hypot re im))) 3))) (* (pow (sqrt (sqrt (hypot re im))) 3/2) (sqrt (sqrt (sqrt (hypot re im))))) (* (pow (sqrt (sqrt (hypot re im))) 3/2) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (pow (sqrt (sqrt (hypot re im))) 3))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (pow (sqrt (sqrt (hypot re im))) 3))) (* (pow (sqrt (sqrt (hypot re im))) 3/2) (sqrt (sqrt (sqrt (hypot re im))))) (* (pow (sqrt (sqrt (hypot re im))) 3/2) (sqrt (sqrt (sqrt (hypot re im))))) (pow (sqrt (sqrt (hypot re im))) 3) (* (pow (fabs (cbrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (pow (sqrt (fabs (cbrt (hypot re im)))) 3)) (pow (sqrt (sqrt (sqrt (hypot re im)))) (+ 4 1)) (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (sqrt (hypot re im)))) (+ 4 1)) (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (sqrt (hypot re im)))) (+ 4 1)) (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3) (pow (sqrt (sqrt (hypot re im))) 3) (pow (sqrt (sqrt (hypot re im))) 3) (* (pow (fabs (cbrt (sqrt (hypot re im)))) 3) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (pow (sqrt (fabs (cbrt (hypot re im)))) 3)) (pow (sqrt (sqrt (sqrt (hypot re im)))) (+ 4 1)) (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (sqrt (hypot re im)))) (+ 4 1)) (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (sqrt (hypot re im)))) (+ 4 1)) (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)) (* (sqrt (sqrt (hypot re im))) (sqrt (pow (sqrt (sqrt (hypot re im))) 3))) (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) (+ 3/2 1)) (* (pow (cbrt (sqrt (hypot re im))) 4) (cbrt (sqrt (hypot re im)))) (* (sqrt (cbrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (hypot re im))) 3)) (* (sqrt (sqrt (cbrt (hypot re im)))) (pow (sqrt (sqrt (hypot re im))) 3)) (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (hypot re im))) (hypot re im) (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (hypot re im))) (hypot re im) (* (pow (sqrt (sqrt (sqrt (hypot re im)))) 3) (sqrt (hypot re im))) (hypot re im) (expm1 (sqrt (sqrt (hypot re im)))) (log1p (sqrt (sqrt (hypot re im)))) (log (sqrt (sqrt (hypot re im)))) (exp (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (hypot re im))) (cbrt (sqrt (sqrt (hypot re im)))) (pow (sqrt (sqrt (hypot re im))) 3) (fabs (cbrt (sqrt (hypot re im)))) (sqrt (cbrt (sqrt (hypot re im)))) (sqrt (fabs (cbrt (hypot re im)))) (sqrt (sqrt (cbrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))) 1 (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))) 1 (sqrt (sqrt (hypot re im))) 1/4 1/2 1/4 (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))) (- im re) 0 (* -2 re) (fma (* (pow re 2) (pow (/ 1 (pow im 5)) 1/4)) 3/8 (pow im 3/4)) (pow (pow re 3) 1/4) (pow (- (pow re 3)) 1/4) im re (- re) (fma 1/8 (* (pow re 2) (pow (/ 1 (pow im 7)) 1/4)) (pow im 1/4)) (pow (/ 1 re) -1/4) (pow (/ -1 re) -1/4) 10.837 * * * [progress]: adding candidates to table 11.312 * * [progress]: iteration 4 / 4 11.312 * * * [progress]: picking best candidate 11.347 * * * * [pick]: Picked # 11.347 * * * [progress]: localizing error 11.361 * * * [progress]: generating rewritten candidates 11.361 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 11.362 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2 1) 11.362 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 1) 11.362 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2) 11.364 * * * [progress]: generating series expansions 11.364 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 11.365 * [backup-simplify]: Simplify (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) into (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 11.365 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in (re im) around 0 11.365 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in im 11.365 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 11.365 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in im 11.365 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 11.365 * [taylor]: Taking taylor expansion of (hypot re im) in im 11.365 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 11.365 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 11.365 * [taylor]: Taking taylor expansion of (* re re) in im 11.365 * [taylor]: Taking taylor expansion of re in im 11.365 * [backup-simplify]: Simplify re into re 11.365 * [taylor]: Taking taylor expansion of re in im 11.365 * [backup-simplify]: Simplify re into re 11.365 * [taylor]: Taking taylor expansion of (* im im) in im 11.365 * [taylor]: Taking taylor expansion of im in im 11.365 * [backup-simplify]: Simplify 0 into 0 11.365 * [backup-simplify]: Simplify 1 into 1 11.365 * [taylor]: Taking taylor expansion of im in im 11.365 * [backup-simplify]: Simplify 0 into 0 11.365 * [backup-simplify]: Simplify 1 into 1 11.365 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.366 * [backup-simplify]: Simplify (* 0 0) into 0 11.366 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 11.366 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 11.366 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 11.366 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.367 * [backup-simplify]: Simplify (+ 0 0) into 0 11.367 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 11.367 * [backup-simplify]: Simplify (sqrt re) into (sqrt re) 11.367 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0 11.367 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 11.367 * [taylor]: Taking taylor expansion of (hypot re im) in im 11.367 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 11.367 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 11.367 * [taylor]: Taking taylor expansion of (* re re) in im 11.367 * [taylor]: Taking taylor expansion of re in im 11.367 * [backup-simplify]: Simplify re into re 11.367 * [taylor]: Taking taylor expansion of re in im 11.367 * [backup-simplify]: Simplify re into re 11.367 * [taylor]: Taking taylor expansion of (* im im) in im 11.367 * [taylor]: Taking taylor expansion of im in im 11.367 * [backup-simplify]: Simplify 0 into 0 11.367 * [backup-simplify]: Simplify 1 into 1 11.367 * [taylor]: Taking taylor expansion of im in im 11.367 * [backup-simplify]: Simplify 0 into 0 11.367 * [backup-simplify]: Simplify 1 into 1 11.367 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.368 * [backup-simplify]: Simplify (* 0 0) into 0 11.368 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 11.368 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 11.368 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 11.369 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.369 * [backup-simplify]: Simplify (+ 0 0) into 0 11.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 11.369 * [backup-simplify]: Simplify (sqrt re) into (sqrt re) 11.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0 11.369 * [taylor]: Taking taylor expansion of (- re) in im 11.369 * [taylor]: Taking taylor expansion of re in im 11.369 * [backup-simplify]: Simplify re into re 11.369 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re 11.370 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 11.370 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 11.370 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 11.370 * [taylor]: Taking taylor expansion of (hypot re im) in re 11.370 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 11.370 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 11.370 * [taylor]: Taking taylor expansion of (* re re) in re 11.370 * [taylor]: Taking taylor expansion of re in re 11.370 * [backup-simplify]: Simplify 0 into 0 11.370 * [backup-simplify]: Simplify 1 into 1 11.370 * [taylor]: Taking taylor expansion of re in re 11.370 * [backup-simplify]: Simplify 0 into 0 11.370 * [backup-simplify]: Simplify 1 into 1 11.370 * [taylor]: Taking taylor expansion of (* im im) in re 11.370 * [taylor]: Taking taylor expansion of im in re 11.370 * [backup-simplify]: Simplify im into im 11.370 * [taylor]: Taking taylor expansion of im in re 11.370 * [backup-simplify]: Simplify im into im 11.370 * [backup-simplify]: Simplify (* 0 0) into 0 11.371 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.371 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 11.371 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 11.372 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.372 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.372 * [backup-simplify]: Simplify (+ 0 0) into 0 11.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 11.373 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 11.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 11.373 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 11.373 * [taylor]: Taking taylor expansion of (hypot re im) in re 11.373 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 11.373 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 11.373 * [taylor]: Taking taylor expansion of (* re re) in re 11.373 * [taylor]: Taking taylor expansion of re in re 11.373 * [backup-simplify]: Simplify 0 into 0 11.373 * [backup-simplify]: Simplify 1 into 1 11.373 * [taylor]: Taking taylor expansion of re in re 11.373 * [backup-simplify]: Simplify 0 into 0 11.373 * [backup-simplify]: Simplify 1 into 1 11.373 * [taylor]: Taking taylor expansion of (* im im) in re 11.373 * [taylor]: Taking taylor expansion of im in re 11.373 * [backup-simplify]: Simplify im into im 11.373 * [taylor]: Taking taylor expansion of im in re 11.373 * [backup-simplify]: Simplify im into im 11.374 * [backup-simplify]: Simplify (* 0 0) into 0 11.374 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.374 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 11.374 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 11.375 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.375 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.375 * [backup-simplify]: Simplify (+ 0 0) into 0 11.375 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 11.375 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 11.376 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 11.376 * [taylor]: Taking taylor expansion of (- re) in re 11.376 * [taylor]: Taking taylor expansion of re in re 11.376 * [backup-simplify]: Simplify 0 into 0 11.376 * [backup-simplify]: Simplify 1 into 1 11.376 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re 11.376 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 11.376 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 11.376 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 11.376 * [taylor]: Taking taylor expansion of (hypot re im) in re 11.376 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 11.376 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 11.376 * [taylor]: Taking taylor expansion of (* re re) in re 11.376 * [taylor]: Taking taylor expansion of re in re 11.376 * [backup-simplify]: Simplify 0 into 0 11.376 * [backup-simplify]: Simplify 1 into 1 11.376 * [taylor]: Taking taylor expansion of re in re 11.376 * [backup-simplify]: Simplify 0 into 0 11.376 * [backup-simplify]: Simplify 1 into 1 11.376 * [taylor]: Taking taylor expansion of (* im im) in re 11.376 * [taylor]: Taking taylor expansion of im in re 11.376 * [backup-simplify]: Simplify im into im 11.376 * [taylor]: Taking taylor expansion of im in re 11.376 * [backup-simplify]: Simplify im into im 11.377 * [backup-simplify]: Simplify (* 0 0) into 0 11.378 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.378 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 11.378 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 11.378 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.379 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.379 * [backup-simplify]: Simplify (+ 0 0) into 0 11.379 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 11.379 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 11.379 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 11.379 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 11.379 * [taylor]: Taking taylor expansion of (hypot re im) in re 11.379 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 11.379 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 11.380 * [taylor]: Taking taylor expansion of (* re re) in re 11.380 * [taylor]: Taking taylor expansion of re in re 11.380 * [backup-simplify]: Simplify 0 into 0 11.380 * [backup-simplify]: Simplify 1 into 1 11.380 * [taylor]: Taking taylor expansion of re in re 11.380 * [backup-simplify]: Simplify 0 into 0 11.380 * [backup-simplify]: Simplify 1 into 1 11.380 * [taylor]: Taking taylor expansion of (* im im) in re 11.380 * [taylor]: Taking taylor expansion of im in re 11.380 * [backup-simplify]: Simplify im into im 11.380 * [taylor]: Taking taylor expansion of im in re 11.380 * [backup-simplify]: Simplify im into im 11.380 * [backup-simplify]: Simplify (* 0 0) into 0 11.380 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.380 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 11.381 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 11.381 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.381 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.382 * [backup-simplify]: Simplify (+ 0 0) into 0 11.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 11.382 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 11.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 11.382 * [taylor]: Taking taylor expansion of (- re) in re 11.382 * [taylor]: Taking taylor expansion of re in re 11.382 * [backup-simplify]: Simplify 0 into 0 11.382 * [backup-simplify]: Simplify 1 into 1 11.382 * [backup-simplify]: Simplify (* (sqrt im) (sqrt im)) into im 11.383 * [backup-simplify]: Simplify (- 0) into 0 11.383 * [backup-simplify]: Simplify (+ im 0) into im 11.383 * [taylor]: Taking taylor expansion of im in im 11.383 * [backup-simplify]: Simplify 0 into 0 11.383 * [backup-simplify]: Simplify 1 into 1 11.383 * [backup-simplify]: Simplify 0 into 0 11.383 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* 0 (sqrt im))) into 0 11.383 * [backup-simplify]: Simplify (- 1) into -1 11.384 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.384 * [taylor]: Taking taylor expansion of -1 in im 11.384 * [backup-simplify]: Simplify -1 into -1 11.384 * [backup-simplify]: Simplify -1 into -1 11.384 * [backup-simplify]: Simplify 1 into 1 11.385 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 11.385 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 11.385 * [backup-simplify]: Simplify (+ 1 0) into 1 11.386 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 11.387 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3)))) 11.388 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 11.389 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 11.389 * [backup-simplify]: Simplify (+ 1 0) into 1 11.390 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 11.391 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3)))) 11.392 * [backup-simplify]: Simplify (+ (* (sqrt im) (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* 0 0) (* (* 1/4 (sqrt (/ 1 (pow im 3)))) (sqrt im)))) into (* 1/2 (/ 1 im)) 11.392 * [backup-simplify]: Simplify (- 0) into 0 11.392 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 im)) 0) into (* 1/2 (/ 1 im)) 11.392 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 11.392 * [taylor]: Taking taylor expansion of 1/2 in im 11.392 * [backup-simplify]: Simplify 1/2 into 1/2 11.392 * [taylor]: Taking taylor expansion of (/ 1 im) in im 11.392 * [taylor]: Taking taylor expansion of im in im 11.393 * [backup-simplify]: Simplify 0 into 0 11.393 * [backup-simplify]: Simplify 1 into 1 11.393 * [backup-simplify]: Simplify (/ 1 1) into 1 11.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.394 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.394 * [backup-simplify]: Simplify 0 into 0 11.394 * [backup-simplify]: Simplify 0 into 0 11.394 * [backup-simplify]: Simplify 0 into 0 11.395 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 11.396 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 11.397 * [backup-simplify]: Simplify (+ 0 0) into 0 11.397 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 11.398 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0 11.399 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 11.400 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 11.400 * [backup-simplify]: Simplify (+ 0 0) into 0 11.400 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 11.401 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0 11.401 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (+ (* 0 (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* (* 1/4 (sqrt (/ 1 (pow im 3)))) 0) (* 0 (sqrt im))))) into 0 11.402 * [backup-simplify]: Simplify (- 0) into 0 11.402 * [backup-simplify]: Simplify (+ 0 0) into 0 11.402 * [taylor]: Taking taylor expansion of 0 in im 11.402 * [backup-simplify]: Simplify 0 into 0 11.402 * [backup-simplify]: Simplify 0 into 0 11.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.404 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 11.404 * [backup-simplify]: Simplify 0 into 0 11.404 * [backup-simplify]: Simplify 0 into 0 11.404 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 11.405 * [backup-simplify]: Simplify (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) into (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) 11.405 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in (re im) around 0 11.405 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in im 11.405 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 11.405 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in im 11.405 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 11.405 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 11.405 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 11.405 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 11.405 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 11.405 * [taylor]: Taking taylor expansion of (/ 1 re) in im 11.405 * [taylor]: Taking taylor expansion of re in im 11.405 * [backup-simplify]: Simplify re into re 11.405 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 11.405 * [taylor]: Taking taylor expansion of (/ 1 re) in im 11.405 * [taylor]: Taking taylor expansion of re in im 11.405 * [backup-simplify]: Simplify re into re 11.405 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 11.405 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 11.405 * [taylor]: Taking taylor expansion of (/ 1 im) in im 11.405 * [taylor]: Taking taylor expansion of im in im 11.405 * [backup-simplify]: Simplify 0 into 0 11.406 * [backup-simplify]: Simplify 1 into 1 11.406 * [backup-simplify]: Simplify (/ 1 1) into 1 11.406 * [taylor]: Taking taylor expansion of (/ 1 im) in im 11.406 * [taylor]: Taking taylor expansion of im in im 11.406 * [backup-simplify]: Simplify 0 into 0 11.406 * [backup-simplify]: Simplify 1 into 1 11.406 * [backup-simplify]: Simplify (/ 1 1) into 1 11.407 * [backup-simplify]: Simplify (* 1 1) into 1 11.407 * [backup-simplify]: Simplify (+ 0 1) into 1 11.408 * [backup-simplify]: Simplify (sqrt 1) into 1 11.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.410 * [backup-simplify]: Simplify (+ 0 0) into 0 11.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.411 * [backup-simplify]: Simplify (sqrt 0) into 0 11.413 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.413 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 11.413 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 11.413 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 11.413 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 11.413 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 11.413 * [taylor]: Taking taylor expansion of (/ 1 re) in im 11.413 * [taylor]: Taking taylor expansion of re in im 11.413 * [backup-simplify]: Simplify re into re 11.413 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 11.413 * [taylor]: Taking taylor expansion of (/ 1 re) in im 11.413 * [taylor]: Taking taylor expansion of re in im 11.413 * [backup-simplify]: Simplify re into re 11.413 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 11.413 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 11.413 * [taylor]: Taking taylor expansion of (/ 1 im) in im 11.413 * [taylor]: Taking taylor expansion of im in im 11.413 * [backup-simplify]: Simplify 0 into 0 11.413 * [backup-simplify]: Simplify 1 into 1 11.414 * [backup-simplify]: Simplify (/ 1 1) into 1 11.414 * [taylor]: Taking taylor expansion of (/ 1 im) in im 11.414 * [taylor]: Taking taylor expansion of im in im 11.414 * [backup-simplify]: Simplify 0 into 0 11.414 * [backup-simplify]: Simplify 1 into 1 11.414 * [backup-simplify]: Simplify (/ 1 1) into 1 11.415 * [backup-simplify]: Simplify (* 1 1) into 1 11.415 * [backup-simplify]: Simplify (+ 0 1) into 1 11.415 * [backup-simplify]: Simplify (sqrt 1) into 1 11.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.418 * [backup-simplify]: Simplify (+ 0 0) into 0 11.418 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.419 * [backup-simplify]: Simplify (sqrt 0) into 0 11.420 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.420 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in im 11.420 * [taylor]: Taking taylor expansion of (/ 1 re) in im 11.420 * [taylor]: Taking taylor expansion of re in im 11.420 * [backup-simplify]: Simplify re into re 11.420 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 11.420 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re 11.421 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 11.421 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 11.421 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 11.421 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 11.421 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 11.421 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 11.421 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 11.421 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.421 * [taylor]: Taking taylor expansion of re in re 11.421 * [backup-simplify]: Simplify 0 into 0 11.421 * [backup-simplify]: Simplify 1 into 1 11.421 * [backup-simplify]: Simplify (/ 1 1) into 1 11.421 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.421 * [taylor]: Taking taylor expansion of re in re 11.421 * [backup-simplify]: Simplify 0 into 0 11.421 * [backup-simplify]: Simplify 1 into 1 11.422 * [backup-simplify]: Simplify (/ 1 1) into 1 11.422 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 11.422 * [taylor]: Taking taylor expansion of (/ 1 im) in re 11.422 * [taylor]: Taking taylor expansion of im in re 11.422 * [backup-simplify]: Simplify im into im 11.422 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 11.422 * [taylor]: Taking taylor expansion of (/ 1 im) in re 11.422 * [taylor]: Taking taylor expansion of im in re 11.422 * [backup-simplify]: Simplify im into im 11.422 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 11.422 * [backup-simplify]: Simplify (* 1 1) into 1 11.423 * [backup-simplify]: Simplify (+ 1 0) into 1 11.423 * [backup-simplify]: Simplify (sqrt 1) into 1 11.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.425 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.426 * [backup-simplify]: Simplify (+ 0 0) into 0 11.426 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.427 * [backup-simplify]: Simplify (sqrt 0) into 0 11.428 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.428 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 11.428 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 11.428 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 11.428 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 11.428 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 11.428 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.428 * [taylor]: Taking taylor expansion of re in re 11.428 * [backup-simplify]: Simplify 0 into 0 11.429 * [backup-simplify]: Simplify 1 into 1 11.429 * [backup-simplify]: Simplify (/ 1 1) into 1 11.429 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.429 * [taylor]: Taking taylor expansion of re in re 11.429 * [backup-simplify]: Simplify 0 into 0 11.429 * [backup-simplify]: Simplify 1 into 1 11.429 * [backup-simplify]: Simplify (/ 1 1) into 1 11.429 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 11.429 * [taylor]: Taking taylor expansion of (/ 1 im) in re 11.429 * [taylor]: Taking taylor expansion of im in re 11.429 * [backup-simplify]: Simplify im into im 11.430 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 11.430 * [taylor]: Taking taylor expansion of (/ 1 im) in re 11.430 * [taylor]: Taking taylor expansion of im in re 11.430 * [backup-simplify]: Simplify im into im 11.430 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 11.430 * [backup-simplify]: Simplify (* 1 1) into 1 11.430 * [backup-simplify]: Simplify (+ 1 0) into 1 11.431 * [backup-simplify]: Simplify (sqrt 1) into 1 11.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.434 * [backup-simplify]: Simplify (+ 0 0) into 0 11.434 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.435 * [backup-simplify]: Simplify (sqrt 0) into 0 11.436 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.436 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 11.436 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.436 * [taylor]: Taking taylor expansion of re in re 11.436 * [backup-simplify]: Simplify 0 into 0 11.436 * [backup-simplify]: Simplify 1 into 1 11.437 * [backup-simplify]: Simplify (/ 1 1) into 1 11.437 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re 11.437 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 11.437 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 11.437 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 11.437 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 11.437 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 11.437 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 11.437 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 11.437 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.437 * [taylor]: Taking taylor expansion of re in re 11.437 * [backup-simplify]: Simplify 0 into 0 11.437 * [backup-simplify]: Simplify 1 into 1 11.438 * [backup-simplify]: Simplify (/ 1 1) into 1 11.438 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.438 * [taylor]: Taking taylor expansion of re in re 11.438 * [backup-simplify]: Simplify 0 into 0 11.438 * [backup-simplify]: Simplify 1 into 1 11.438 * [backup-simplify]: Simplify (/ 1 1) into 1 11.438 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 11.438 * [taylor]: Taking taylor expansion of (/ 1 im) in re 11.438 * [taylor]: Taking taylor expansion of im in re 11.438 * [backup-simplify]: Simplify im into im 11.438 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 11.439 * [taylor]: Taking taylor expansion of (/ 1 im) in re 11.439 * [taylor]: Taking taylor expansion of im in re 11.439 * [backup-simplify]: Simplify im into im 11.439 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 11.439 * [backup-simplify]: Simplify (* 1 1) into 1 11.439 * [backup-simplify]: Simplify (+ 1 0) into 1 11.440 * [backup-simplify]: Simplify (sqrt 1) into 1 11.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.442 * [backup-simplify]: Simplify (+ 0 0) into 0 11.443 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.443 * [backup-simplify]: Simplify (sqrt 0) into 0 11.445 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.445 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 11.445 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 11.445 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 11.445 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 11.445 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 11.445 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.445 * [taylor]: Taking taylor expansion of re in re 11.445 * [backup-simplify]: Simplify 0 into 0 11.445 * [backup-simplify]: Simplify 1 into 1 11.446 * [backup-simplify]: Simplify (/ 1 1) into 1 11.446 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.446 * [taylor]: Taking taylor expansion of re in re 11.446 * [backup-simplify]: Simplify 0 into 0 11.446 * [backup-simplify]: Simplify 1 into 1 11.446 * [backup-simplify]: Simplify (/ 1 1) into 1 11.446 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 11.446 * [taylor]: Taking taylor expansion of (/ 1 im) in re 11.446 * [taylor]: Taking taylor expansion of im in re 11.446 * [backup-simplify]: Simplify im into im 11.447 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 11.447 * [taylor]: Taking taylor expansion of (/ 1 im) in re 11.447 * [taylor]: Taking taylor expansion of im in re 11.447 * [backup-simplify]: Simplify im into im 11.447 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 11.447 * [backup-simplify]: Simplify (* 1 1) into 1 11.448 * [backup-simplify]: Simplify (+ 1 0) into 1 11.448 * [backup-simplify]: Simplify (sqrt 1) into 1 11.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.450 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.451 * [backup-simplify]: Simplify (+ 0 0) into 0 11.451 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.452 * [backup-simplify]: Simplify (sqrt 0) into 0 11.453 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.453 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 11.453 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.453 * [taylor]: Taking taylor expansion of re in re 11.453 * [backup-simplify]: Simplify 0 into 0 11.453 * [backup-simplify]: Simplify 1 into 1 11.454 * [backup-simplify]: Simplify (/ 1 1) into 1 11.454 * [backup-simplify]: Simplify (* 0 0) into 0 11.455 * [backup-simplify]: Simplify (+ 0 0) into 0 11.455 * [taylor]: Taking taylor expansion of 0 in im 11.455 * [backup-simplify]: Simplify 0 into 0 11.455 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 11.456 * [backup-simplify]: Simplify (- 1) into -1 11.456 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.456 * [taylor]: Taking taylor expansion of -1 in im 11.456 * [backup-simplify]: Simplify -1 into -1 11.459 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.462 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.465 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 11.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.466 * [backup-simplify]: Simplify (- 0) into 0 11.467 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 11.467 * [taylor]: Taking taylor expansion of (- +nan.0) in im 11.467 * [taylor]: Taking taylor expansion of +nan.0 in im 11.467 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.467 * [backup-simplify]: Simplify 0 into 0 11.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.477 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 11.478 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 11.478 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 11.480 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 11.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.482 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 11.482 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 11.484 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 11.485 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 11.486 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0)))) into (- +nan.0) 11.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.487 * [backup-simplify]: Simplify (- 0) into 0 11.487 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 11.487 * [taylor]: Taking taylor expansion of (- +nan.0) in im 11.487 * [taylor]: Taking taylor expansion of +nan.0 in im 11.487 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.488 * [backup-simplify]: Simplify -1 into -1 11.488 * [backup-simplify]: Simplify 0 into 0 11.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.489 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 11.490 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 11.490 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 11.490 * [backup-simplify]: Simplify (+ 0 0) into 0 11.490 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 11.491 * [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))) 11.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.493 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 11.494 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 11.494 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 11.494 * [backup-simplify]: Simplify (+ 0 0) into 0 11.494 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 11.495 * [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))) 11.497 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0))))) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 11.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.497 * [backup-simplify]: Simplify (- 0) into 0 11.498 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 11.498 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 11.498 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 11.498 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 11.498 * [taylor]: Taking taylor expansion of +nan.0 in im 11.498 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.498 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.498 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.498 * [taylor]: Taking taylor expansion of im in im 11.498 * [backup-simplify]: Simplify 0 into 0 11.498 * [backup-simplify]: Simplify 1 into 1 11.498 * [backup-simplify]: Simplify (* 1 1) into 1 11.499 * [backup-simplify]: Simplify (/ 1 1) into 1 11.499 * [taylor]: Taking taylor expansion of (- +nan.0) in im 11.499 * [taylor]: Taking taylor expansion of +nan.0 in im 11.499 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.499 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 11.499 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 11.500 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 11.500 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.500 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.500 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.501 * [backup-simplify]: Simplify (+ (- +nan.0) (+ (* (- +nan.0) (pow (* (/ 1 (/ 1 im)) (/ 1 re)) 2)) (* -1 (* 1 (/ 1 (/ 1 re)))))) into (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- re +nan.0))) 11.501 * [backup-simplify]: Simplify (fma (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (- (/ 1 (- re)))) into (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) 11.501 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in (re im) around 0 11.502 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in im 11.502 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 11.502 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in im 11.502 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 11.502 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 11.502 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 11.502 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 11.502 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 11.502 * [taylor]: Taking taylor expansion of (/ -1 re) in im 11.502 * [taylor]: Taking taylor expansion of -1 in im 11.502 * [backup-simplify]: Simplify -1 into -1 11.502 * [taylor]: Taking taylor expansion of re in im 11.502 * [backup-simplify]: Simplify re into re 11.502 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 11.502 * [taylor]: Taking taylor expansion of (/ -1 re) in im 11.502 * [taylor]: Taking taylor expansion of -1 in im 11.502 * [backup-simplify]: Simplify -1 into -1 11.502 * [taylor]: Taking taylor expansion of re in im 11.502 * [backup-simplify]: Simplify re into re 11.502 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 11.502 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 11.502 * [taylor]: Taking taylor expansion of (/ -1 im) in im 11.502 * [taylor]: Taking taylor expansion of -1 in im 11.502 * [backup-simplify]: Simplify -1 into -1 11.502 * [taylor]: Taking taylor expansion of im in im 11.502 * [backup-simplify]: Simplify 0 into 0 11.502 * [backup-simplify]: Simplify 1 into 1 11.503 * [backup-simplify]: Simplify (/ -1 1) into -1 11.503 * [taylor]: Taking taylor expansion of (/ -1 im) in im 11.503 * [taylor]: Taking taylor expansion of -1 in im 11.503 * [backup-simplify]: Simplify -1 into -1 11.503 * [taylor]: Taking taylor expansion of im in im 11.503 * [backup-simplify]: Simplify 0 into 0 11.503 * [backup-simplify]: Simplify 1 into 1 11.503 * [backup-simplify]: Simplify (/ -1 1) into -1 11.503 * [backup-simplify]: Simplify (* -1 -1) into 1 11.503 * [backup-simplify]: Simplify (+ 0 1) into 1 11.504 * [backup-simplify]: Simplify (sqrt 1) into 1 11.504 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.505 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.505 * [backup-simplify]: Simplify (+ 0 0) into 0 11.506 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.506 * [backup-simplify]: Simplify (sqrt 0) into 0 11.507 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.507 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 11.507 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 11.507 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 11.507 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 11.507 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 11.507 * [taylor]: Taking taylor expansion of (/ -1 re) in im 11.507 * [taylor]: Taking taylor expansion of -1 in im 11.507 * [backup-simplify]: Simplify -1 into -1 11.507 * [taylor]: Taking taylor expansion of re in im 11.507 * [backup-simplify]: Simplify re into re 11.507 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 11.507 * [taylor]: Taking taylor expansion of (/ -1 re) in im 11.507 * [taylor]: Taking taylor expansion of -1 in im 11.507 * [backup-simplify]: Simplify -1 into -1 11.507 * [taylor]: Taking taylor expansion of re in im 11.507 * [backup-simplify]: Simplify re into re 11.507 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 11.507 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 11.507 * [taylor]: Taking taylor expansion of (/ -1 im) in im 11.507 * [taylor]: Taking taylor expansion of -1 in im 11.507 * [backup-simplify]: Simplify -1 into -1 11.507 * [taylor]: Taking taylor expansion of im in im 11.507 * [backup-simplify]: Simplify 0 into 0 11.507 * [backup-simplify]: Simplify 1 into 1 11.508 * [backup-simplify]: Simplify (/ -1 1) into -1 11.508 * [taylor]: Taking taylor expansion of (/ -1 im) in im 11.508 * [taylor]: Taking taylor expansion of -1 in im 11.508 * [backup-simplify]: Simplify -1 into -1 11.508 * [taylor]: Taking taylor expansion of im in im 11.508 * [backup-simplify]: Simplify 0 into 0 11.508 * [backup-simplify]: Simplify 1 into 1 11.508 * [backup-simplify]: Simplify (/ -1 1) into -1 11.508 * [backup-simplify]: Simplify (* -1 -1) into 1 11.509 * [backup-simplify]: Simplify (+ 0 1) into 1 11.509 * [backup-simplify]: Simplify (sqrt 1) into 1 11.509 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.510 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.510 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.510 * [backup-simplify]: Simplify (+ 0 0) into 0 11.511 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.511 * [backup-simplify]: Simplify (sqrt 0) into 0 11.512 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.512 * [taylor]: Taking taylor expansion of (/ 1 re) in im 11.512 * [taylor]: Taking taylor expansion of re in im 11.512 * [backup-simplify]: Simplify re into re 11.512 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 11.512 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re 11.512 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 11.512 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 11.512 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 11.512 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 11.512 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 11.512 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 11.512 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 11.512 * [taylor]: Taking taylor expansion of (/ -1 re) in re 11.512 * [taylor]: Taking taylor expansion of -1 in re 11.512 * [backup-simplify]: Simplify -1 into -1 11.512 * [taylor]: Taking taylor expansion of re in re 11.512 * [backup-simplify]: Simplify 0 into 0 11.512 * [backup-simplify]: Simplify 1 into 1 11.513 * [backup-simplify]: Simplify (/ -1 1) into -1 11.513 * [taylor]: Taking taylor expansion of (/ -1 re) in re 11.513 * [taylor]: Taking taylor expansion of -1 in re 11.513 * [backup-simplify]: Simplify -1 into -1 11.513 * [taylor]: Taking taylor expansion of re in re 11.513 * [backup-simplify]: Simplify 0 into 0 11.513 * [backup-simplify]: Simplify 1 into 1 11.513 * [backup-simplify]: Simplify (/ -1 1) into -1 11.513 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 11.513 * [taylor]: Taking taylor expansion of (/ -1 im) in re 11.513 * [taylor]: Taking taylor expansion of -1 in re 11.513 * [backup-simplify]: Simplify -1 into -1 11.513 * [taylor]: Taking taylor expansion of im in re 11.513 * [backup-simplify]: Simplify im into im 11.513 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 11.513 * [taylor]: Taking taylor expansion of (/ -1 im) in re 11.513 * [taylor]: Taking taylor expansion of -1 in re 11.513 * [backup-simplify]: Simplify -1 into -1 11.513 * [taylor]: Taking taylor expansion of im in re 11.513 * [backup-simplify]: Simplify im into im 11.513 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 11.514 * [backup-simplify]: Simplify (* -1 -1) into 1 11.514 * [backup-simplify]: Simplify (+ 1 0) into 1 11.514 * [backup-simplify]: Simplify (sqrt 1) into 1 11.515 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.515 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.516 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.516 * [backup-simplify]: Simplify (+ 0 0) into 0 11.516 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.516 * [backup-simplify]: Simplify (sqrt 0) into 0 11.517 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.517 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 11.517 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 11.517 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 11.517 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 11.517 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 11.518 * [taylor]: Taking taylor expansion of (/ -1 re) in re 11.518 * [taylor]: Taking taylor expansion of -1 in re 11.518 * [backup-simplify]: Simplify -1 into -1 11.518 * [taylor]: Taking taylor expansion of re in re 11.518 * [backup-simplify]: Simplify 0 into 0 11.518 * [backup-simplify]: Simplify 1 into 1 11.518 * [backup-simplify]: Simplify (/ -1 1) into -1 11.518 * [taylor]: Taking taylor expansion of (/ -1 re) in re 11.518 * [taylor]: Taking taylor expansion of -1 in re 11.518 * [backup-simplify]: Simplify -1 into -1 11.518 * [taylor]: Taking taylor expansion of re in re 11.518 * [backup-simplify]: Simplify 0 into 0 11.518 * [backup-simplify]: Simplify 1 into 1 11.518 * [backup-simplify]: Simplify (/ -1 1) into -1 11.518 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 11.518 * [taylor]: Taking taylor expansion of (/ -1 im) in re 11.518 * [taylor]: Taking taylor expansion of -1 in re 11.518 * [backup-simplify]: Simplify -1 into -1 11.518 * [taylor]: Taking taylor expansion of im in re 11.518 * [backup-simplify]: Simplify im into im 11.518 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 11.518 * [taylor]: Taking taylor expansion of (/ -1 im) in re 11.518 * [taylor]: Taking taylor expansion of -1 in re 11.518 * [backup-simplify]: Simplify -1 into -1 11.518 * [taylor]: Taking taylor expansion of im in re 11.518 * [backup-simplify]: Simplify im into im 11.518 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 11.519 * [backup-simplify]: Simplify (* -1 -1) into 1 11.519 * [backup-simplify]: Simplify (+ 1 0) into 1 11.519 * [backup-simplify]: Simplify (sqrt 1) into 1 11.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.521 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.522 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.522 * [backup-simplify]: Simplify (+ 0 0) into 0 11.523 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.523 * [backup-simplify]: Simplify (sqrt 0) into 0 11.524 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.524 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.525 * [taylor]: Taking taylor expansion of re in re 11.525 * [backup-simplify]: Simplify 0 into 0 11.525 * [backup-simplify]: Simplify 1 into 1 11.525 * [backup-simplify]: Simplify (/ 1 1) into 1 11.525 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re 11.525 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 11.525 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 11.525 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 11.525 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 11.525 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 11.525 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 11.526 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 11.526 * [taylor]: Taking taylor expansion of (/ -1 re) in re 11.526 * [taylor]: Taking taylor expansion of -1 in re 11.526 * [backup-simplify]: Simplify -1 into -1 11.526 * [taylor]: Taking taylor expansion of re in re 11.526 * [backup-simplify]: Simplify 0 into 0 11.526 * [backup-simplify]: Simplify 1 into 1 11.526 * [backup-simplify]: Simplify (/ -1 1) into -1 11.526 * [taylor]: Taking taylor expansion of (/ -1 re) in re 11.526 * [taylor]: Taking taylor expansion of -1 in re 11.526 * [backup-simplify]: Simplify -1 into -1 11.526 * [taylor]: Taking taylor expansion of re in re 11.526 * [backup-simplify]: Simplify 0 into 0 11.526 * [backup-simplify]: Simplify 1 into 1 11.527 * [backup-simplify]: Simplify (/ -1 1) into -1 11.527 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 11.527 * [taylor]: Taking taylor expansion of (/ -1 im) in re 11.527 * [taylor]: Taking taylor expansion of -1 in re 11.527 * [backup-simplify]: Simplify -1 into -1 11.527 * [taylor]: Taking taylor expansion of im in re 11.527 * [backup-simplify]: Simplify im into im 11.527 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 11.527 * [taylor]: Taking taylor expansion of (/ -1 im) in re 11.527 * [taylor]: Taking taylor expansion of -1 in re 11.527 * [backup-simplify]: Simplify -1 into -1 11.527 * [taylor]: Taking taylor expansion of im in re 11.527 * [backup-simplify]: Simplify im into im 11.527 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 11.528 * [backup-simplify]: Simplify (* -1 -1) into 1 11.528 * [backup-simplify]: Simplify (+ 1 0) into 1 11.528 * [backup-simplify]: Simplify (sqrt 1) into 1 11.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.530 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.531 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.531 * [backup-simplify]: Simplify (+ 0 0) into 0 11.532 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.532 * [backup-simplify]: Simplify (sqrt 0) into 0 11.533 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.534 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 11.534 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 11.534 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 11.534 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 11.534 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 11.534 * [taylor]: Taking taylor expansion of (/ -1 re) in re 11.534 * [taylor]: Taking taylor expansion of -1 in re 11.534 * [backup-simplify]: Simplify -1 into -1 11.534 * [taylor]: Taking taylor expansion of re in re 11.534 * [backup-simplify]: Simplify 0 into 0 11.534 * [backup-simplify]: Simplify 1 into 1 11.534 * [backup-simplify]: Simplify (/ -1 1) into -1 11.534 * [taylor]: Taking taylor expansion of (/ -1 re) in re 11.534 * [taylor]: Taking taylor expansion of -1 in re 11.534 * [backup-simplify]: Simplify -1 into -1 11.534 * [taylor]: Taking taylor expansion of re in re 11.535 * [backup-simplify]: Simplify 0 into 0 11.535 * [backup-simplify]: Simplify 1 into 1 11.535 * [backup-simplify]: Simplify (/ -1 1) into -1 11.535 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 11.535 * [taylor]: Taking taylor expansion of (/ -1 im) in re 11.535 * [taylor]: Taking taylor expansion of -1 in re 11.535 * [backup-simplify]: Simplify -1 into -1 11.535 * [taylor]: Taking taylor expansion of im in re 11.535 * [backup-simplify]: Simplify im into im 11.535 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 11.535 * [taylor]: Taking taylor expansion of (/ -1 im) in re 11.535 * [taylor]: Taking taylor expansion of -1 in re 11.535 * [backup-simplify]: Simplify -1 into -1 11.535 * [taylor]: Taking taylor expansion of im in re 11.535 * [backup-simplify]: Simplify im into im 11.536 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 11.536 * [backup-simplify]: Simplify (* -1 -1) into 1 11.536 * [backup-simplify]: Simplify (+ 1 0) into 1 11.537 * [backup-simplify]: Simplify (sqrt 1) into 1 11.537 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.538 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.539 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.539 * [backup-simplify]: Simplify (+ 0 0) into 0 11.540 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.541 * [backup-simplify]: Simplify (sqrt 0) into 0 11.542 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.542 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.542 * [taylor]: Taking taylor expansion of re in re 11.542 * [backup-simplify]: Simplify 0 into 0 11.542 * [backup-simplify]: Simplify 1 into 1 11.543 * [backup-simplify]: Simplify (/ 1 1) into 1 11.543 * [backup-simplify]: Simplify (* 0 0) into 0 11.544 * [backup-simplify]: Simplify (+ 0 0) into 0 11.544 * [taylor]: Taking taylor expansion of 0 in im 11.544 * [backup-simplify]: Simplify 0 into 0 11.544 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 11.545 * [backup-simplify]: Simplify (+ 0 1) into 1 11.545 * [taylor]: Taking taylor expansion of 1 in im 11.545 * [backup-simplify]: Simplify 1 into 1 11.548 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.551 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.554 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 11.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.556 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 11.556 * [taylor]: Taking taylor expansion of (- +nan.0) in im 11.556 * [taylor]: Taking taylor expansion of +nan.0 in im 11.556 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.556 * [backup-simplify]: Simplify 0 into 0 11.557 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.558 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.559 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 11.559 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 11.559 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 11.560 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 11.562 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 11.563 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.564 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.565 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 11.565 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 11.566 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 11.567 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 11.568 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 11.569 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0)))) into (- +nan.0) 11.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.570 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 11.570 * [taylor]: Taking taylor expansion of (- +nan.0) in im 11.570 * [taylor]: Taking taylor expansion of +nan.0 in im 11.570 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.570 * [backup-simplify]: Simplify 1 into 1 11.570 * [backup-simplify]: Simplify 0 into 0 11.571 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.571 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.572 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 11.572 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 11.572 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 11.572 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 11.573 * [backup-simplify]: Simplify (+ 0 0) into 0 11.573 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 11.574 * [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))) 11.574 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.575 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.576 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 11.576 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 11.576 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 11.576 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 11.576 * [backup-simplify]: Simplify (+ 0 0) into 0 11.576 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 11.577 * [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))) 11.579 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0))))) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 11.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.580 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 11.580 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 11.580 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 11.580 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 11.580 * [taylor]: Taking taylor expansion of +nan.0 in im 11.580 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.580 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.580 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.580 * [taylor]: Taking taylor expansion of im in im 11.580 * [backup-simplify]: Simplify 0 into 0 11.580 * [backup-simplify]: Simplify 1 into 1 11.580 * [backup-simplify]: Simplify (* 1 1) into 1 11.580 * [backup-simplify]: Simplify (/ 1 1) into 1 11.580 * [taylor]: Taking taylor expansion of (- +nan.0) in im 11.580 * [taylor]: Taking taylor expansion of +nan.0 in im 11.580 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.581 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 11.581 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 11.581 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 11.582 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.582 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.582 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.583 * [backup-simplify]: Simplify (+ (- +nan.0) (+ (* (- +nan.0) (pow (* (/ 1 (/ 1 (- im))) (/ 1 (- re))) 2)) (* 1 (* 1 (/ 1 (/ 1 (- re))))))) into (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- re +nan.0))) 11.583 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2 1) 11.583 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 11.583 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 11.583 * [taylor]: Taking taylor expansion of (hypot re im) in im 11.583 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 11.583 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 11.583 * [taylor]: Taking taylor expansion of (* re re) in im 11.583 * [taylor]: Taking taylor expansion of re in im 11.583 * [backup-simplify]: Simplify re into re 11.583 * [taylor]: Taking taylor expansion of re in im 11.583 * [backup-simplify]: Simplify re into re 11.583 * [taylor]: Taking taylor expansion of (* im im) in im 11.583 * [taylor]: Taking taylor expansion of im in im 11.583 * [backup-simplify]: Simplify 0 into 0 11.583 * [backup-simplify]: Simplify 1 into 1 11.583 * [taylor]: Taking taylor expansion of im in im 11.584 * [backup-simplify]: Simplify 0 into 0 11.584 * [backup-simplify]: Simplify 1 into 1 11.584 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.584 * [backup-simplify]: Simplify (* 0 0) into 0 11.584 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 11.584 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 11.584 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 11.584 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.585 * [backup-simplify]: Simplify (+ 0 0) into 0 11.585 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 11.585 * [taylor]: Taking taylor expansion of (hypot re im) in re 11.585 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 11.585 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 11.585 * [taylor]: Taking taylor expansion of (* re re) in re 11.585 * [taylor]: Taking taylor expansion of re in re 11.585 * [backup-simplify]: Simplify 0 into 0 11.585 * [backup-simplify]: Simplify 1 into 1 11.585 * [taylor]: Taking taylor expansion of re in re 11.585 * [backup-simplify]: Simplify 0 into 0 11.585 * [backup-simplify]: Simplify 1 into 1 11.585 * [taylor]: Taking taylor expansion of (* im im) in re 11.585 * [taylor]: Taking taylor expansion of im in re 11.585 * [backup-simplify]: Simplify im into im 11.585 * [taylor]: Taking taylor expansion of im in re 11.585 * [backup-simplify]: Simplify im into im 11.585 * [backup-simplify]: Simplify (* 0 0) into 0 11.585 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.585 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 11.586 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 11.586 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.586 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.586 * [backup-simplify]: Simplify (+ 0 0) into 0 11.586 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 11.586 * [taylor]: Taking taylor expansion of (hypot re im) in re 11.586 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 11.587 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 11.587 * [taylor]: Taking taylor expansion of (* re re) in re 11.587 * [taylor]: Taking taylor expansion of re in re 11.587 * [backup-simplify]: Simplify 0 into 0 11.587 * [backup-simplify]: Simplify 1 into 1 11.587 * [taylor]: Taking taylor expansion of re in re 11.587 * [backup-simplify]: Simplify 0 into 0 11.587 * [backup-simplify]: Simplify 1 into 1 11.587 * [taylor]: Taking taylor expansion of (* im im) in re 11.587 * [taylor]: Taking taylor expansion of im in re 11.587 * [backup-simplify]: Simplify im into im 11.587 * [taylor]: Taking taylor expansion of im in re 11.587 * [backup-simplify]: Simplify im into im 11.587 * [backup-simplify]: Simplify (* 0 0) into 0 11.587 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.587 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 11.587 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 11.593 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.593 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.594 * [backup-simplify]: Simplify (+ 0 0) into 0 11.594 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 11.594 * [taylor]: Taking taylor expansion of im in im 11.594 * [backup-simplify]: Simplify 0 into 0 11.594 * [backup-simplify]: Simplify 1 into 1 11.594 * [backup-simplify]: Simplify 0 into 0 11.594 * [taylor]: Taking taylor expansion of 0 in im 11.594 * [backup-simplify]: Simplify 0 into 0 11.594 * [backup-simplify]: Simplify 0 into 0 11.594 * [backup-simplify]: Simplify 1 into 1 11.595 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 11.595 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 11.595 * [backup-simplify]: Simplify (+ 1 0) into 1 11.596 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 11.596 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 11.596 * [taylor]: Taking taylor expansion of 1/2 in im 11.596 * [backup-simplify]: Simplify 1/2 into 1/2 11.596 * [taylor]: Taking taylor expansion of im in im 11.596 * [backup-simplify]: Simplify 0 into 0 11.596 * [backup-simplify]: Simplify 1 into 1 11.596 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 11.597 * [backup-simplify]: Simplify 0 into 0 11.597 * [backup-simplify]: Simplify 0 into 0 11.597 * [backup-simplify]: Simplify 0 into 0 11.597 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 11.598 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 11.598 * [backup-simplify]: Simplify (+ 0 0) into 0 11.598 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 11.598 * [taylor]: Taking taylor expansion of 0 in im 11.598 * [backup-simplify]: Simplify 0 into 0 11.598 * [backup-simplify]: Simplify 0 into 0 11.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.599 * [backup-simplify]: Simplify 0 into 0 11.599 * [backup-simplify]: Simplify 0 into 0 11.599 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 11.599 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 11.599 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 11.599 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 11.599 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 11.599 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 11.599 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 11.599 * [taylor]: Taking taylor expansion of (/ 1 re) in im 11.599 * [taylor]: Taking taylor expansion of re in im 11.599 * [backup-simplify]: Simplify re into re 11.599 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 11.599 * [taylor]: Taking taylor expansion of (/ 1 re) in im 11.599 * [taylor]: Taking taylor expansion of re in im 11.599 * [backup-simplify]: Simplify re into re 11.600 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 11.600 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 11.600 * [taylor]: Taking taylor expansion of (/ 1 im) in im 11.600 * [taylor]: Taking taylor expansion of im in im 11.600 * [backup-simplify]: Simplify 0 into 0 11.600 * [backup-simplify]: Simplify 1 into 1 11.600 * [backup-simplify]: Simplify (/ 1 1) into 1 11.600 * [taylor]: Taking taylor expansion of (/ 1 im) in im 11.600 * [taylor]: Taking taylor expansion of im in im 11.600 * [backup-simplify]: Simplify 0 into 0 11.600 * [backup-simplify]: Simplify 1 into 1 11.600 * [backup-simplify]: Simplify (/ 1 1) into 1 11.600 * [backup-simplify]: Simplify (* 1 1) into 1 11.601 * [backup-simplify]: Simplify (+ 0 1) into 1 11.601 * [backup-simplify]: Simplify (sqrt 1) into 1 11.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.602 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.602 * [backup-simplify]: Simplify (+ 0 0) into 0 11.603 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.603 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 11.603 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 11.603 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 11.603 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 11.603 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.603 * [taylor]: Taking taylor expansion of re in re 11.603 * [backup-simplify]: Simplify 0 into 0 11.603 * [backup-simplify]: Simplify 1 into 1 11.604 * [backup-simplify]: Simplify (/ 1 1) into 1 11.604 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.604 * [taylor]: Taking taylor expansion of re in re 11.604 * [backup-simplify]: Simplify 0 into 0 11.604 * [backup-simplify]: Simplify 1 into 1 11.604 * [backup-simplify]: Simplify (/ 1 1) into 1 11.604 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 11.604 * [taylor]: Taking taylor expansion of (/ 1 im) in re 11.604 * [taylor]: Taking taylor expansion of im in re 11.604 * [backup-simplify]: Simplify im into im 11.604 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 11.604 * [taylor]: Taking taylor expansion of (/ 1 im) in re 11.604 * [taylor]: Taking taylor expansion of im in re 11.604 * [backup-simplify]: Simplify im into im 11.604 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 11.604 * [backup-simplify]: Simplify (* 1 1) into 1 11.605 * [backup-simplify]: Simplify (+ 1 0) into 1 11.605 * [backup-simplify]: Simplify (sqrt 1) into 1 11.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.606 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.606 * [backup-simplify]: Simplify (+ 0 0) into 0 11.607 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.607 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 11.607 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 11.607 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 11.607 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 11.607 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.607 * [taylor]: Taking taylor expansion of re in re 11.607 * [backup-simplify]: Simplify 0 into 0 11.607 * [backup-simplify]: Simplify 1 into 1 11.607 * [backup-simplify]: Simplify (/ 1 1) into 1 11.607 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.607 * [taylor]: Taking taylor expansion of re in re 11.607 * [backup-simplify]: Simplify 0 into 0 11.607 * [backup-simplify]: Simplify 1 into 1 11.608 * [backup-simplify]: Simplify (/ 1 1) into 1 11.608 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 11.608 * [taylor]: Taking taylor expansion of (/ 1 im) in re 11.608 * [taylor]: Taking taylor expansion of im in re 11.608 * [backup-simplify]: Simplify im into im 11.608 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 11.608 * [taylor]: Taking taylor expansion of (/ 1 im) in re 11.608 * [taylor]: Taking taylor expansion of im in re 11.608 * [backup-simplify]: Simplify im into im 11.608 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 11.608 * [backup-simplify]: Simplify (* 1 1) into 1 11.608 * [backup-simplify]: Simplify (+ 1 0) into 1 11.609 * [backup-simplify]: Simplify (sqrt 1) into 1 11.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.610 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.610 * [backup-simplify]: Simplify (+ 0 0) into 0 11.611 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.611 * [taylor]: Taking taylor expansion of 1 in im 11.611 * [backup-simplify]: Simplify 1 into 1 11.611 * [taylor]: Taking taylor expansion of 0 in im 11.611 * [backup-simplify]: Simplify 0 into 0 11.611 * [backup-simplify]: Simplify 1 into 1 11.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.612 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 11.613 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 11.613 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 11.613 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 11.614 * [taylor]: Taking taylor expansion of 1/2 in im 11.614 * [backup-simplify]: Simplify 1/2 into 1/2 11.614 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.614 * [taylor]: Taking taylor expansion of im in im 11.614 * [backup-simplify]: Simplify 0 into 0 11.614 * [backup-simplify]: Simplify 1 into 1 11.614 * [backup-simplify]: Simplify (* 1 1) into 1 11.614 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.615 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.615 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 11.615 * [backup-simplify]: Simplify 0 into 0 11.615 * [backup-simplify]: Simplify 0 into 0 11.615 * [backup-simplify]: Simplify 0 into 0 11.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.617 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 11.617 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 11.617 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 11.617 * [backup-simplify]: Simplify (+ 0 0) into 0 11.618 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 11.618 * [taylor]: Taking taylor expansion of 0 in im 11.618 * [backup-simplify]: Simplify 0 into 0 11.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.619 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.619 * [backup-simplify]: Simplify 0 into 0 11.619 * [backup-simplify]: Simplify 0 into 0 11.619 * [backup-simplify]: Simplify 0 into 0 11.619 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 11.620 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 11.620 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 11.620 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 11.620 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 11.620 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 11.620 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 11.620 * [taylor]: Taking taylor expansion of (/ -1 re) in im 11.620 * [taylor]: Taking taylor expansion of -1 in im 11.620 * [backup-simplify]: Simplify -1 into -1 11.620 * [taylor]: Taking taylor expansion of re in im 11.620 * [backup-simplify]: Simplify re into re 11.620 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 11.620 * [taylor]: Taking taylor expansion of (/ -1 re) in im 11.620 * [taylor]: Taking taylor expansion of -1 in im 11.620 * [backup-simplify]: Simplify -1 into -1 11.620 * [taylor]: Taking taylor expansion of re in im 11.620 * [backup-simplify]: Simplify re into re 11.620 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 11.620 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 11.620 * [taylor]: Taking taylor expansion of (/ -1 im) in im 11.620 * [taylor]: Taking taylor expansion of -1 in im 11.620 * [backup-simplify]: Simplify -1 into -1 11.620 * [taylor]: Taking taylor expansion of im in im 11.620 * [backup-simplify]: Simplify 0 into 0 11.620 * [backup-simplify]: Simplify 1 into 1 11.620 * [backup-simplify]: Simplify (/ -1 1) into -1 11.620 * [taylor]: Taking taylor expansion of (/ -1 im) in im 11.620 * [taylor]: Taking taylor expansion of -1 in im 11.620 * [backup-simplify]: Simplify -1 into -1 11.620 * [taylor]: Taking taylor expansion of im in im 11.620 * [backup-simplify]: Simplify 0 into 0 11.620 * [backup-simplify]: Simplify 1 into 1 11.621 * [backup-simplify]: Simplify (/ -1 1) into -1 11.621 * [backup-simplify]: Simplify (* -1 -1) into 1 11.621 * [backup-simplify]: Simplify (+ 0 1) into 1 11.622 * [backup-simplify]: Simplify (sqrt 1) into 1 11.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.624 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.624 * [backup-simplify]: Simplify (+ 0 0) into 0 11.624 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.624 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 11.624 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 11.624 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 11.624 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 11.624 * [taylor]: Taking taylor expansion of (/ -1 re) in re 11.625 * [taylor]: Taking taylor expansion of -1 in re 11.625 * [backup-simplify]: Simplify -1 into -1 11.625 * [taylor]: Taking taylor expansion of re in re 11.625 * [backup-simplify]: Simplify 0 into 0 11.625 * [backup-simplify]: Simplify 1 into 1 11.625 * [backup-simplify]: Simplify (/ -1 1) into -1 11.625 * [taylor]: Taking taylor expansion of (/ -1 re) in re 11.625 * [taylor]: Taking taylor expansion of -1 in re 11.625 * [backup-simplify]: Simplify -1 into -1 11.625 * [taylor]: Taking taylor expansion of re in re 11.625 * [backup-simplify]: Simplify 0 into 0 11.625 * [backup-simplify]: Simplify 1 into 1 11.625 * [backup-simplify]: Simplify (/ -1 1) into -1 11.625 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 11.625 * [taylor]: Taking taylor expansion of (/ -1 im) in re 11.625 * [taylor]: Taking taylor expansion of -1 in re 11.625 * [backup-simplify]: Simplify -1 into -1 11.625 * [taylor]: Taking taylor expansion of im in re 11.625 * [backup-simplify]: Simplify im into im 11.625 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 11.625 * [taylor]: Taking taylor expansion of (/ -1 im) in re 11.625 * [taylor]: Taking taylor expansion of -1 in re 11.625 * [backup-simplify]: Simplify -1 into -1 11.625 * [taylor]: Taking taylor expansion of im in re 11.625 * [backup-simplify]: Simplify im into im 11.626 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 11.626 * [backup-simplify]: Simplify (* -1 -1) into 1 11.626 * [backup-simplify]: Simplify (+ 1 0) into 1 11.626 * [backup-simplify]: Simplify (sqrt 1) into 1 11.627 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.627 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.628 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.628 * [backup-simplify]: Simplify (+ 0 0) into 0 11.628 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.628 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 11.629 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 11.629 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 11.629 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 11.629 * [taylor]: Taking taylor expansion of (/ -1 re) in re 11.629 * [taylor]: Taking taylor expansion of -1 in re 11.629 * [backup-simplify]: Simplify -1 into -1 11.629 * [taylor]: Taking taylor expansion of re in re 11.629 * [backup-simplify]: Simplify 0 into 0 11.629 * [backup-simplify]: Simplify 1 into 1 11.629 * [backup-simplify]: Simplify (/ -1 1) into -1 11.629 * [taylor]: Taking taylor expansion of (/ -1 re) in re 11.629 * [taylor]: Taking taylor expansion of -1 in re 11.629 * [backup-simplify]: Simplify -1 into -1 11.629 * [taylor]: Taking taylor expansion of re in re 11.629 * [backup-simplify]: Simplify 0 into 0 11.629 * [backup-simplify]: Simplify 1 into 1 11.629 * [backup-simplify]: Simplify (/ -1 1) into -1 11.629 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 11.629 * [taylor]: Taking taylor expansion of (/ -1 im) in re 11.629 * [taylor]: Taking taylor expansion of -1 in re 11.629 * [backup-simplify]: Simplify -1 into -1 11.629 * [taylor]: Taking taylor expansion of im in re 11.629 * [backup-simplify]: Simplify im into im 11.630 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 11.630 * [taylor]: Taking taylor expansion of (/ -1 im) in re 11.630 * [taylor]: Taking taylor expansion of -1 in re 11.630 * [backup-simplify]: Simplify -1 into -1 11.630 * [taylor]: Taking taylor expansion of im in re 11.630 * [backup-simplify]: Simplify im into im 11.630 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 11.630 * [backup-simplify]: Simplify (* -1 -1) into 1 11.630 * [backup-simplify]: Simplify (+ 1 0) into 1 11.630 * [backup-simplify]: Simplify (sqrt 1) into 1 11.631 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.631 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.632 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.632 * [backup-simplify]: Simplify (+ 0 0) into 0 11.632 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.632 * [taylor]: Taking taylor expansion of 1 in im 11.633 * [backup-simplify]: Simplify 1 into 1 11.633 * [taylor]: Taking taylor expansion of 0 in im 11.633 * [backup-simplify]: Simplify 0 into 0 11.633 * [backup-simplify]: Simplify 1 into 1 11.633 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.634 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.634 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 11.634 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 11.635 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 11.636 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 11.636 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 11.636 * [taylor]: Taking taylor expansion of 1/2 in im 11.636 * [backup-simplify]: Simplify 1/2 into 1/2 11.636 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.636 * [taylor]: Taking taylor expansion of im in im 11.636 * [backup-simplify]: Simplify 0 into 0 11.636 * [backup-simplify]: Simplify 1 into 1 11.636 * [backup-simplify]: Simplify (* 1 1) into 1 11.637 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.637 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.638 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 11.638 * [backup-simplify]: Simplify 0 into 0 11.638 * [backup-simplify]: Simplify 0 into 0 11.638 * [backup-simplify]: Simplify 0 into 0 11.639 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.640 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.641 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 11.641 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 11.642 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 11.642 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 11.642 * [backup-simplify]: Simplify (+ 0 0) into 0 11.643 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 11.643 * [taylor]: Taking taylor expansion of 0 in im 11.643 * [backup-simplify]: Simplify 0 into 0 11.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.645 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.645 * [backup-simplify]: Simplify 0 into 0 11.645 * [backup-simplify]: Simplify 0 into 0 11.645 * [backup-simplify]: Simplify 0 into 0 11.645 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 11.645 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 1) 11.646 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 11.646 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 11.646 * [taylor]: Taking taylor expansion of (hypot re im) in im 11.646 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 11.646 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 11.646 * [taylor]: Taking taylor expansion of (* re re) in im 11.646 * [taylor]: Taking taylor expansion of re in im 11.646 * [backup-simplify]: Simplify re into re 11.646 * [taylor]: Taking taylor expansion of re in im 11.646 * [backup-simplify]: Simplify re into re 11.646 * [taylor]: Taking taylor expansion of (* im im) in im 11.646 * [taylor]: Taking taylor expansion of im in im 11.646 * [backup-simplify]: Simplify 0 into 0 11.646 * [backup-simplify]: Simplify 1 into 1 11.646 * [taylor]: Taking taylor expansion of im in im 11.646 * [backup-simplify]: Simplify 0 into 0 11.646 * [backup-simplify]: Simplify 1 into 1 11.646 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.647 * [backup-simplify]: Simplify (* 0 0) into 0 11.647 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 11.647 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 11.647 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 11.648 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.648 * [backup-simplify]: Simplify (+ 0 0) into 0 11.648 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 11.648 * [taylor]: Taking taylor expansion of (hypot re im) in re 11.648 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 11.648 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 11.648 * [taylor]: Taking taylor expansion of (* re re) in re 11.648 * [taylor]: Taking taylor expansion of re in re 11.648 * [backup-simplify]: Simplify 0 into 0 11.648 * [backup-simplify]: Simplify 1 into 1 11.648 * [taylor]: Taking taylor expansion of re in re 11.648 * [backup-simplify]: Simplify 0 into 0 11.648 * [backup-simplify]: Simplify 1 into 1 11.648 * [taylor]: Taking taylor expansion of (* im im) in re 11.649 * [taylor]: Taking taylor expansion of im in re 11.649 * [backup-simplify]: Simplify im into im 11.649 * [taylor]: Taking taylor expansion of im in re 11.649 * [backup-simplify]: Simplify im into im 11.649 * [backup-simplify]: Simplify (* 0 0) into 0 11.649 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.649 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 11.649 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 11.650 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.650 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.650 * [backup-simplify]: Simplify (+ 0 0) into 0 11.651 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 11.651 * [taylor]: Taking taylor expansion of (hypot re im) in re 11.651 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 11.651 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 11.651 * [taylor]: Taking taylor expansion of (* re re) in re 11.651 * [taylor]: Taking taylor expansion of re in re 11.651 * [backup-simplify]: Simplify 0 into 0 11.651 * [backup-simplify]: Simplify 1 into 1 11.651 * [taylor]: Taking taylor expansion of re in re 11.651 * [backup-simplify]: Simplify 0 into 0 11.651 * [backup-simplify]: Simplify 1 into 1 11.651 * [taylor]: Taking taylor expansion of (* im im) in re 11.651 * [taylor]: Taking taylor expansion of im in re 11.651 * [backup-simplify]: Simplify im into im 11.651 * [taylor]: Taking taylor expansion of im in re 11.651 * [backup-simplify]: Simplify im into im 11.651 * [backup-simplify]: Simplify (* 0 0) into 0 11.651 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.652 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 11.652 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 11.652 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.652 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.653 * [backup-simplify]: Simplify (+ 0 0) into 0 11.653 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 11.653 * [taylor]: Taking taylor expansion of im in im 11.653 * [backup-simplify]: Simplify 0 into 0 11.653 * [backup-simplify]: Simplify 1 into 1 11.653 * [backup-simplify]: Simplify 0 into 0 11.653 * [taylor]: Taking taylor expansion of 0 in im 11.653 * [backup-simplify]: Simplify 0 into 0 11.653 * [backup-simplify]: Simplify 0 into 0 11.653 * [backup-simplify]: Simplify 1 into 1 11.654 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 11.655 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 11.655 * [backup-simplify]: Simplify (+ 1 0) into 1 11.656 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 11.656 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 11.656 * [taylor]: Taking taylor expansion of 1/2 in im 11.656 * [backup-simplify]: Simplify 1/2 into 1/2 11.656 * [taylor]: Taking taylor expansion of im in im 11.656 * [backup-simplify]: Simplify 0 into 0 11.656 * [backup-simplify]: Simplify 1 into 1 11.657 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.658 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 11.658 * [backup-simplify]: Simplify 0 into 0 11.658 * [backup-simplify]: Simplify 0 into 0 11.658 * [backup-simplify]: Simplify 0 into 0 11.659 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 11.660 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 11.660 * [backup-simplify]: Simplify (+ 0 0) into 0 11.660 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 11.660 * [taylor]: Taking taylor expansion of 0 in im 11.660 * [backup-simplify]: Simplify 0 into 0 11.660 * [backup-simplify]: Simplify 0 into 0 11.661 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.661 * [backup-simplify]: Simplify 0 into 0 11.661 * [backup-simplify]: Simplify 0 into 0 11.662 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 11.662 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 11.662 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 11.662 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 11.662 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 11.662 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 11.662 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 11.662 * [taylor]: Taking taylor expansion of (/ 1 re) in im 11.662 * [taylor]: Taking taylor expansion of re in im 11.662 * [backup-simplify]: Simplify re into re 11.662 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 11.662 * [taylor]: Taking taylor expansion of (/ 1 re) in im 11.662 * [taylor]: Taking taylor expansion of re in im 11.662 * [backup-simplify]: Simplify re into re 11.662 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 11.662 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 11.662 * [taylor]: Taking taylor expansion of (/ 1 im) in im 11.662 * [taylor]: Taking taylor expansion of im in im 11.662 * [backup-simplify]: Simplify 0 into 0 11.662 * [backup-simplify]: Simplify 1 into 1 11.663 * [backup-simplify]: Simplify (/ 1 1) into 1 11.663 * [taylor]: Taking taylor expansion of (/ 1 im) in im 11.663 * [taylor]: Taking taylor expansion of im in im 11.663 * [backup-simplify]: Simplify 0 into 0 11.663 * [backup-simplify]: Simplify 1 into 1 11.663 * [backup-simplify]: Simplify (/ 1 1) into 1 11.664 * [backup-simplify]: Simplify (* 1 1) into 1 11.664 * [backup-simplify]: Simplify (+ 0 1) into 1 11.664 * [backup-simplify]: Simplify (sqrt 1) into 1 11.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.666 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.667 * [backup-simplify]: Simplify (+ 0 0) into 0 11.668 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.668 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 11.668 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 11.668 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 11.668 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 11.668 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.668 * [taylor]: Taking taylor expansion of re in re 11.668 * [backup-simplify]: Simplify 0 into 0 11.668 * [backup-simplify]: Simplify 1 into 1 11.668 * [backup-simplify]: Simplify (/ 1 1) into 1 11.668 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.668 * [taylor]: Taking taylor expansion of re in re 11.668 * [backup-simplify]: Simplify 0 into 0 11.668 * [backup-simplify]: Simplify 1 into 1 11.669 * [backup-simplify]: Simplify (/ 1 1) into 1 11.669 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 11.669 * [taylor]: Taking taylor expansion of (/ 1 im) in re 11.669 * [taylor]: Taking taylor expansion of im in re 11.669 * [backup-simplify]: Simplify im into im 11.669 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 11.669 * [taylor]: Taking taylor expansion of (/ 1 im) in re 11.669 * [taylor]: Taking taylor expansion of im in re 11.669 * [backup-simplify]: Simplify im into im 11.669 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 11.669 * [backup-simplify]: Simplify (* 1 1) into 1 11.670 * [backup-simplify]: Simplify (+ 1 0) into 1 11.670 * [backup-simplify]: Simplify (sqrt 1) into 1 11.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.672 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.673 * [backup-simplify]: Simplify (+ 0 0) into 0 11.673 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.673 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 11.674 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 11.674 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 11.674 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 11.674 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.674 * [taylor]: Taking taylor expansion of re in re 11.674 * [backup-simplify]: Simplify 0 into 0 11.674 * [backup-simplify]: Simplify 1 into 1 11.674 * [backup-simplify]: Simplify (/ 1 1) into 1 11.674 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.674 * [taylor]: Taking taylor expansion of re in re 11.674 * [backup-simplify]: Simplify 0 into 0 11.674 * [backup-simplify]: Simplify 1 into 1 11.675 * [backup-simplify]: Simplify (/ 1 1) into 1 11.675 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 11.675 * [taylor]: Taking taylor expansion of (/ 1 im) in re 11.675 * [taylor]: Taking taylor expansion of im in re 11.675 * [backup-simplify]: Simplify im into im 11.675 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 11.675 * [taylor]: Taking taylor expansion of (/ 1 im) in re 11.675 * [taylor]: Taking taylor expansion of im in re 11.675 * [backup-simplify]: Simplify im into im 11.675 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 11.675 * [backup-simplify]: Simplify (* 1 1) into 1 11.676 * [backup-simplify]: Simplify (+ 1 0) into 1 11.676 * [backup-simplify]: Simplify (sqrt 1) into 1 11.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.678 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.678 * [backup-simplify]: Simplify (+ 0 0) into 0 11.679 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.679 * [taylor]: Taking taylor expansion of 1 in im 11.679 * [backup-simplify]: Simplify 1 into 1 11.679 * [taylor]: Taking taylor expansion of 0 in im 11.679 * [backup-simplify]: Simplify 0 into 0 11.679 * [backup-simplify]: Simplify 1 into 1 11.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.682 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 11.683 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 11.684 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 11.684 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 11.684 * [taylor]: Taking taylor expansion of 1/2 in im 11.684 * [backup-simplify]: Simplify 1/2 into 1/2 11.684 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.684 * [taylor]: Taking taylor expansion of im in im 11.684 * [backup-simplify]: Simplify 0 into 0 11.684 * [backup-simplify]: Simplify 1 into 1 11.684 * [backup-simplify]: Simplify (* 1 1) into 1 11.685 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.686 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.686 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 11.686 * [backup-simplify]: Simplify 0 into 0 11.686 * [backup-simplify]: Simplify 0 into 0 11.686 * [backup-simplify]: Simplify 0 into 0 11.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.689 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.689 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 11.690 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 11.690 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 11.690 * [backup-simplify]: Simplify (+ 0 0) into 0 11.691 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 11.691 * [taylor]: Taking taylor expansion of 0 in im 11.691 * [backup-simplify]: Simplify 0 into 0 11.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.693 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.693 * [backup-simplify]: Simplify 0 into 0 11.693 * [backup-simplify]: Simplify 0 into 0 11.693 * [backup-simplify]: Simplify 0 into 0 11.693 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 11.693 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 11.693 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 11.693 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 11.693 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 11.693 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 11.694 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 11.694 * [taylor]: Taking taylor expansion of (/ -1 re) in im 11.694 * [taylor]: Taking taylor expansion of -1 in im 11.694 * [backup-simplify]: Simplify -1 into -1 11.694 * [taylor]: Taking taylor expansion of re in im 11.694 * [backup-simplify]: Simplify re into re 11.694 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 11.694 * [taylor]: Taking taylor expansion of (/ -1 re) in im 11.694 * [taylor]: Taking taylor expansion of -1 in im 11.694 * [backup-simplify]: Simplify -1 into -1 11.694 * [taylor]: Taking taylor expansion of re in im 11.694 * [backup-simplify]: Simplify re into re 11.694 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 11.694 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 11.694 * [taylor]: Taking taylor expansion of (/ -1 im) in im 11.694 * [taylor]: Taking taylor expansion of -1 in im 11.694 * [backup-simplify]: Simplify -1 into -1 11.694 * [taylor]: Taking taylor expansion of im in im 11.694 * [backup-simplify]: Simplify 0 into 0 11.694 * [backup-simplify]: Simplify 1 into 1 11.695 * [backup-simplify]: Simplify (/ -1 1) into -1 11.695 * [taylor]: Taking taylor expansion of (/ -1 im) in im 11.695 * [taylor]: Taking taylor expansion of -1 in im 11.695 * [backup-simplify]: Simplify -1 into -1 11.695 * [taylor]: Taking taylor expansion of im in im 11.695 * [backup-simplify]: Simplify 0 into 0 11.695 * [backup-simplify]: Simplify 1 into 1 11.695 * [backup-simplify]: Simplify (/ -1 1) into -1 11.696 * [backup-simplify]: Simplify (* -1 -1) into 1 11.696 * [backup-simplify]: Simplify (+ 0 1) into 1 11.696 * [backup-simplify]: Simplify (sqrt 1) into 1 11.697 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.698 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.699 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.699 * [backup-simplify]: Simplify (+ 0 0) into 0 11.700 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.700 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 11.700 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 11.700 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 11.700 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 11.700 * [taylor]: Taking taylor expansion of (/ -1 re) in re 11.700 * [taylor]: Taking taylor expansion of -1 in re 11.700 * [backup-simplify]: Simplify -1 into -1 11.700 * [taylor]: Taking taylor expansion of re in re 11.700 * [backup-simplify]: Simplify 0 into 0 11.700 * [backup-simplify]: Simplify 1 into 1 11.701 * [backup-simplify]: Simplify (/ -1 1) into -1 11.701 * [taylor]: Taking taylor expansion of (/ -1 re) in re 11.701 * [taylor]: Taking taylor expansion of -1 in re 11.701 * [backup-simplify]: Simplify -1 into -1 11.701 * [taylor]: Taking taylor expansion of re in re 11.701 * [backup-simplify]: Simplify 0 into 0 11.701 * [backup-simplify]: Simplify 1 into 1 11.701 * [backup-simplify]: Simplify (/ -1 1) into -1 11.701 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 11.701 * [taylor]: Taking taylor expansion of (/ -1 im) in re 11.702 * [taylor]: Taking taylor expansion of -1 in re 11.702 * [backup-simplify]: Simplify -1 into -1 11.702 * [taylor]: Taking taylor expansion of im in re 11.702 * [backup-simplify]: Simplify im into im 11.702 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 11.702 * [taylor]: Taking taylor expansion of (/ -1 im) in re 11.702 * [taylor]: Taking taylor expansion of -1 in re 11.702 * [backup-simplify]: Simplify -1 into -1 11.702 * [taylor]: Taking taylor expansion of im in re 11.702 * [backup-simplify]: Simplify im into im 11.702 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 11.702 * [backup-simplify]: Simplify (* -1 -1) into 1 11.703 * [backup-simplify]: Simplify (+ 1 0) into 1 11.703 * [backup-simplify]: Simplify (sqrt 1) into 1 11.704 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.705 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.705 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.706 * [backup-simplify]: Simplify (+ 0 0) into 0 11.706 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.707 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 11.707 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 11.707 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 11.707 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 11.707 * [taylor]: Taking taylor expansion of (/ -1 re) in re 11.707 * [taylor]: Taking taylor expansion of -1 in re 11.707 * [backup-simplify]: Simplify -1 into -1 11.707 * [taylor]: Taking taylor expansion of re in re 11.707 * [backup-simplify]: Simplify 0 into 0 11.707 * [backup-simplify]: Simplify 1 into 1 11.708 * [backup-simplify]: Simplify (/ -1 1) into -1 11.708 * [taylor]: Taking taylor expansion of (/ -1 re) in re 11.708 * [taylor]: Taking taylor expansion of -1 in re 11.708 * [backup-simplify]: Simplify -1 into -1 11.708 * [taylor]: Taking taylor expansion of re in re 11.708 * [backup-simplify]: Simplify 0 into 0 11.708 * [backup-simplify]: Simplify 1 into 1 11.708 * [backup-simplify]: Simplify (/ -1 1) into -1 11.708 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 11.708 * [taylor]: Taking taylor expansion of (/ -1 im) in re 11.708 * [taylor]: Taking taylor expansion of -1 in re 11.708 * [backup-simplify]: Simplify -1 into -1 11.708 * [taylor]: Taking taylor expansion of im in re 11.708 * [backup-simplify]: Simplify im into im 11.709 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 11.709 * [taylor]: Taking taylor expansion of (/ -1 im) in re 11.709 * [taylor]: Taking taylor expansion of -1 in re 11.709 * [backup-simplify]: Simplify -1 into -1 11.709 * [taylor]: Taking taylor expansion of im in re 11.709 * [backup-simplify]: Simplify im into im 11.709 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 11.709 * [backup-simplify]: Simplify (* -1 -1) into 1 11.709 * [backup-simplify]: Simplify (+ 1 0) into 1 11.710 * [backup-simplify]: Simplify (sqrt 1) into 1 11.711 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.711 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.712 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.712 * [backup-simplify]: Simplify (+ 0 0) into 0 11.713 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.713 * [taylor]: Taking taylor expansion of 1 in im 11.713 * [backup-simplify]: Simplify 1 into 1 11.713 * [taylor]: Taking taylor expansion of 0 in im 11.713 * [backup-simplify]: Simplify 0 into 0 11.713 * [backup-simplify]: Simplify 1 into 1 11.714 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.715 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.716 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 11.716 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 11.717 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 11.718 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 11.718 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 11.718 * [taylor]: Taking taylor expansion of 1/2 in im 11.718 * [backup-simplify]: Simplify 1/2 into 1/2 11.718 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.718 * [taylor]: Taking taylor expansion of im in im 11.718 * [backup-simplify]: Simplify 0 into 0 11.718 * [backup-simplify]: Simplify 1 into 1 11.718 * [backup-simplify]: Simplify (* 1 1) into 1 11.725 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.726 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.727 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 11.727 * [backup-simplify]: Simplify 0 into 0 11.727 * [backup-simplify]: Simplify 0 into 0 11.727 * [backup-simplify]: Simplify 0 into 0 11.728 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.730 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.731 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 11.731 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 11.731 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 11.731 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 11.732 * [backup-simplify]: Simplify (+ 0 0) into 0 11.732 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 11.732 * [taylor]: Taking taylor expansion of 0 in im 11.733 * [backup-simplify]: Simplify 0 into 0 11.734 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.735 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.735 * [backup-simplify]: Simplify 0 into 0 11.735 * [backup-simplify]: Simplify 0 into 0 11.735 * [backup-simplify]: Simplify 0 into 0 11.736 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 11.736 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2) 11.736 * [backup-simplify]: Simplify (sqrt (hypot re im)) into (sqrt (hypot re im)) 11.736 * [approximate]: Taking taylor expansion of (sqrt (hypot re im)) in (re im) around 0 11.736 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 11.736 * [taylor]: Taking taylor expansion of (hypot re im) in im 11.736 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 11.736 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 11.736 * [taylor]: Taking taylor expansion of (* re re) in im 11.736 * [taylor]: Taking taylor expansion of re in im 11.736 * [backup-simplify]: Simplify re into re 11.736 * [taylor]: Taking taylor expansion of re in im 11.736 * [backup-simplify]: Simplify re into re 11.736 * [taylor]: Taking taylor expansion of (* im im) in im 11.737 * [taylor]: Taking taylor expansion of im in im 11.737 * [backup-simplify]: Simplify 0 into 0 11.737 * [backup-simplify]: Simplify 1 into 1 11.737 * [taylor]: Taking taylor expansion of im in im 11.737 * [backup-simplify]: Simplify 0 into 0 11.737 * [backup-simplify]: Simplify 1 into 1 11.737 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.737 * [backup-simplify]: Simplify (* 0 0) into 0 11.737 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 11.737 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 11.738 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 11.738 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.739 * [backup-simplify]: Simplify (+ 0 0) into 0 11.739 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 11.739 * [backup-simplify]: Simplify (sqrt re) into (sqrt re) 11.739 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0 11.739 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 11.739 * [taylor]: Taking taylor expansion of (hypot re im) in re 11.739 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 11.739 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 11.739 * [taylor]: Taking taylor expansion of (* re re) in re 11.739 * [taylor]: Taking taylor expansion of re in re 11.739 * [backup-simplify]: Simplify 0 into 0 11.739 * [backup-simplify]: Simplify 1 into 1 11.739 * [taylor]: Taking taylor expansion of re in re 11.739 * [backup-simplify]: Simplify 0 into 0 11.739 * [backup-simplify]: Simplify 1 into 1 11.739 * [taylor]: Taking taylor expansion of (* im im) in re 11.739 * [taylor]: Taking taylor expansion of im in re 11.739 * [backup-simplify]: Simplify im into im 11.739 * [taylor]: Taking taylor expansion of im in re 11.739 * [backup-simplify]: Simplify im into im 11.740 * [backup-simplify]: Simplify (* 0 0) into 0 11.740 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.740 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 11.740 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 11.741 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.741 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.741 * [backup-simplify]: Simplify (+ 0 0) into 0 11.741 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 11.741 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 11.742 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 11.742 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 11.742 * [taylor]: Taking taylor expansion of (hypot re im) in re 11.742 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 11.742 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 11.742 * [taylor]: Taking taylor expansion of (* re re) in re 11.742 * [taylor]: Taking taylor expansion of re in re 11.742 * [backup-simplify]: Simplify 0 into 0 11.742 * [backup-simplify]: Simplify 1 into 1 11.742 * [taylor]: Taking taylor expansion of re in re 11.742 * [backup-simplify]: Simplify 0 into 0 11.742 * [backup-simplify]: Simplify 1 into 1 11.742 * [taylor]: Taking taylor expansion of (* im im) in re 11.742 * [taylor]: Taking taylor expansion of im in re 11.742 * [backup-simplify]: Simplify im into im 11.742 * [taylor]: Taking taylor expansion of im in re 11.742 * [backup-simplify]: Simplify im into im 11.743 * [backup-simplify]: Simplify (* 0 0) into 0 11.743 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.743 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 11.743 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 11.744 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.744 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.744 * [backup-simplify]: Simplify (+ 0 0) into 0 11.744 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 11.744 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 11.744 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 11.745 * [taylor]: Taking taylor expansion of (sqrt im) in im 11.745 * [taylor]: Taking taylor expansion of im in im 11.745 * [backup-simplify]: Simplify 0 into 0 11.745 * [backup-simplify]: Simplify 1 into 1 11.745 * [backup-simplify]: Simplify (sqrt 0) into 0 11.747 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.747 * [backup-simplify]: Simplify 0 into 0 11.747 * [taylor]: Taking taylor expansion of 0 in im 11.747 * [backup-simplify]: Simplify 0 into 0 11.747 * [backup-simplify]: Simplify 0 into 0 11.747 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.748 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 11.748 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 11.749 * [backup-simplify]: Simplify (+ 1 0) into 1 11.749 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 11.750 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3)))) 11.750 * [taylor]: Taking taylor expansion of (* 1/4 (sqrt (/ 1 (pow im 3)))) in im 11.750 * [taylor]: Taking taylor expansion of 1/4 in im 11.750 * [backup-simplify]: Simplify 1/4 into 1/4 11.750 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 11.750 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 11.750 * [taylor]: Taking taylor expansion of (pow im 3) in im 11.750 * [taylor]: Taking taylor expansion of im in im 11.750 * [backup-simplify]: Simplify 0 into 0 11.750 * [backup-simplify]: Simplify 1 into 1 11.751 * [backup-simplify]: Simplify (* 1 1) into 1 11.751 * [backup-simplify]: Simplify (* 1 1) into 1 11.752 * [backup-simplify]: Simplify (/ 1 1) into 1 11.752 * [backup-simplify]: Simplify (sqrt 0) into 0 11.753 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.754 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.755 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.759 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.760 * [backup-simplify]: Simplify (+ (* 1/4 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 11.761 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.761 * [backup-simplify]: Simplify 0 into 0 11.764 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.764 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.765 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* im 1) 2)) (+ (* (- +nan.0) (pow (* 1 re) 2)) (* +nan.0 (* im 1)))) into (- (+ (* +nan.0 (pow re 2)) (- (+ (* +nan.0 im) (- (* +nan.0 (pow im 2))))))) 11.765 * [backup-simplify]: Simplify (sqrt (hypot (/ 1 re) (/ 1 im))) into (sqrt (hypot (/ 1 re) (/ 1 im))) 11.765 * [approximate]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 11.765 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 11.765 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 11.765 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 11.765 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 11.765 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 11.765 * [taylor]: Taking taylor expansion of (/ 1 re) in im 11.765 * [taylor]: Taking taylor expansion of re in im 11.766 * [backup-simplify]: Simplify re into re 11.766 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 11.766 * [taylor]: Taking taylor expansion of (/ 1 re) in im 11.766 * [taylor]: Taking taylor expansion of re in im 11.766 * [backup-simplify]: Simplify re into re 11.766 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 11.766 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 11.766 * [taylor]: Taking taylor expansion of (/ 1 im) in im 11.766 * [taylor]: Taking taylor expansion of im in im 11.766 * [backup-simplify]: Simplify 0 into 0 11.766 * [backup-simplify]: Simplify 1 into 1 11.766 * [backup-simplify]: Simplify (/ 1 1) into 1 11.766 * [taylor]: Taking taylor expansion of (/ 1 im) in im 11.766 * [taylor]: Taking taylor expansion of im in im 11.766 * [backup-simplify]: Simplify 0 into 0 11.766 * [backup-simplify]: Simplify 1 into 1 11.767 * [backup-simplify]: Simplify (/ 1 1) into 1 11.767 * [backup-simplify]: Simplify (* 1 1) into 1 11.768 * [backup-simplify]: Simplify (+ 0 1) into 1 11.768 * [backup-simplify]: Simplify (sqrt 1) into 1 11.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.770 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.770 * [backup-simplify]: Simplify (+ 0 0) into 0 11.771 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.771 * [backup-simplify]: Simplify (sqrt 0) into 0 11.773 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.773 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 11.773 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 11.773 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 11.773 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 11.773 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 11.773 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.773 * [taylor]: Taking taylor expansion of re in re 11.773 * [backup-simplify]: Simplify 0 into 0 11.773 * [backup-simplify]: Simplify 1 into 1 11.773 * [backup-simplify]: Simplify (/ 1 1) into 1 11.774 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.774 * [taylor]: Taking taylor expansion of re in re 11.774 * [backup-simplify]: Simplify 0 into 0 11.774 * [backup-simplify]: Simplify 1 into 1 11.774 * [backup-simplify]: Simplify (/ 1 1) into 1 11.774 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 11.774 * [taylor]: Taking taylor expansion of (/ 1 im) in re 11.774 * [taylor]: Taking taylor expansion of im in re 11.774 * [backup-simplify]: Simplify im into im 11.774 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 11.774 * [taylor]: Taking taylor expansion of (/ 1 im) in re 11.774 * [taylor]: Taking taylor expansion of im in re 11.774 * [backup-simplify]: Simplify im into im 11.774 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 11.775 * [backup-simplify]: Simplify (* 1 1) into 1 11.775 * [backup-simplify]: Simplify (+ 1 0) into 1 11.775 * [backup-simplify]: Simplify (sqrt 1) into 1 11.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.777 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.778 * [backup-simplify]: Simplify (+ 0 0) into 0 11.778 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.779 * [backup-simplify]: Simplify (sqrt 0) into 0 11.780 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.780 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 11.780 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 11.780 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 11.780 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 11.780 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 11.780 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.781 * [taylor]: Taking taylor expansion of re in re 11.781 * [backup-simplify]: Simplify 0 into 0 11.781 * [backup-simplify]: Simplify 1 into 1 11.781 * [backup-simplify]: Simplify (/ 1 1) into 1 11.781 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.781 * [taylor]: Taking taylor expansion of re in re 11.781 * [backup-simplify]: Simplify 0 into 0 11.781 * [backup-simplify]: Simplify 1 into 1 11.781 * [backup-simplify]: Simplify (/ 1 1) into 1 11.781 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 11.781 * [taylor]: Taking taylor expansion of (/ 1 im) in re 11.781 * [taylor]: Taking taylor expansion of im in re 11.782 * [backup-simplify]: Simplify im into im 11.782 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 11.782 * [taylor]: Taking taylor expansion of (/ 1 im) in re 11.782 * [taylor]: Taking taylor expansion of im in re 11.782 * [backup-simplify]: Simplify im into im 11.782 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 11.782 * [backup-simplify]: Simplify (* 1 1) into 1 11.783 * [backup-simplify]: Simplify (+ 1 0) into 1 11.783 * [backup-simplify]: Simplify (sqrt 1) into 1 11.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.785 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.785 * [backup-simplify]: Simplify (+ 0 0) into 0 11.786 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.786 * [backup-simplify]: Simplify (sqrt 0) into 0 11.788 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.788 * [taylor]: Taking taylor expansion of 0 in im 11.788 * [backup-simplify]: Simplify 0 into 0 11.788 * [taylor]: Taking taylor expansion of +nan.0 in im 11.788 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.788 * [backup-simplify]: Simplify 0 into 0 11.791 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.791 * [taylor]: Taking taylor expansion of +nan.0 in im 11.791 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.791 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.791 * [backup-simplify]: Simplify 0 into 0 11.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.794 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 11.794 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 11.795 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 11.797 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 11.798 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 11.798 * [taylor]: Taking taylor expansion of +nan.0 in im 11.798 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.798 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 11.798 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 11.798 * [taylor]: Taking taylor expansion of 1/2 in im 11.798 * [backup-simplify]: Simplify 1/2 into 1/2 11.798 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.798 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.798 * [taylor]: Taking taylor expansion of im in im 11.798 * [backup-simplify]: Simplify 0 into 0 11.798 * [backup-simplify]: Simplify 1 into 1 11.798 * [backup-simplify]: Simplify (* 1 1) into 1 11.799 * [backup-simplify]: Simplify (/ 1 1) into 1 11.799 * [taylor]: Taking taylor expansion of +nan.0 in im 11.799 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.799 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.801 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.801 * [backup-simplify]: Simplify (+ 0 0) into 0 11.801 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.802 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 11.802 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0 11.803 * [backup-simplify]: Simplify 0 into 0 11.803 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.803 * [backup-simplify]: Simplify 0 into 0 11.803 * [backup-simplify]: Simplify 0 into 0 11.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.806 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 11.807 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 11.807 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 11.807 * [backup-simplify]: Simplify (+ 0 0) into 0 11.808 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 11.809 * [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))) 11.809 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 11.809 * [taylor]: Taking taylor expansion of +nan.0 in im 11.809 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.809 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 11.809 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 11.809 * [taylor]: Taking taylor expansion of +nan.0 in im 11.809 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.809 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.809 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.809 * [taylor]: Taking taylor expansion of im in im 11.809 * [backup-simplify]: Simplify 0 into 0 11.809 * [backup-simplify]: Simplify 1 into 1 11.810 * [backup-simplify]: Simplify (* 1 1) into 1 11.810 * [backup-simplify]: Simplify (/ 1 1) into 1 11.810 * [taylor]: Taking taylor expansion of (- +nan.0) in im 11.810 * [taylor]: Taking taylor expansion of +nan.0 in im 11.810 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.811 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.812 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 11.812 * [backup-simplify]: Simplify (+ 0 0) into 0 11.813 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 11.813 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 11.814 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0 11.814 * [backup-simplify]: Simplify 0 into 0 11.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.817 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 11.817 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.818 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 11.820 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0) 11.821 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.821 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 re)) 2)) (+ (* +nan.0 (* 1 (/ 1 re))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) 11.822 * [backup-simplify]: Simplify (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) into (sqrt (hypot (/ -1 re) (/ -1 im))) 11.822 * [approximate]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 11.822 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 11.822 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 11.822 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 11.822 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 11.822 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 11.822 * [taylor]: Taking taylor expansion of (/ -1 re) in im 11.822 * [taylor]: Taking taylor expansion of -1 in im 11.822 * [backup-simplify]: Simplify -1 into -1 11.822 * [taylor]: Taking taylor expansion of re in im 11.822 * [backup-simplify]: Simplify re into re 11.822 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 11.822 * [taylor]: Taking taylor expansion of (/ -1 re) in im 11.822 * [taylor]: Taking taylor expansion of -1 in im 11.822 * [backup-simplify]: Simplify -1 into -1 11.822 * [taylor]: Taking taylor expansion of re in im 11.822 * [backup-simplify]: Simplify re into re 11.822 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 11.822 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 11.822 * [taylor]: Taking taylor expansion of (/ -1 im) in im 11.822 * [taylor]: Taking taylor expansion of -1 in im 11.822 * [backup-simplify]: Simplify -1 into -1 11.822 * [taylor]: Taking taylor expansion of im in im 11.823 * [backup-simplify]: Simplify 0 into 0 11.823 * [backup-simplify]: Simplify 1 into 1 11.823 * [backup-simplify]: Simplify (/ -1 1) into -1 11.823 * [taylor]: Taking taylor expansion of (/ -1 im) in im 11.823 * [taylor]: Taking taylor expansion of -1 in im 11.823 * [backup-simplify]: Simplify -1 into -1 11.823 * [taylor]: Taking taylor expansion of im in im 11.823 * [backup-simplify]: Simplify 0 into 0 11.823 * [backup-simplify]: Simplify 1 into 1 11.824 * [backup-simplify]: Simplify (/ -1 1) into -1 11.824 * [backup-simplify]: Simplify (* -1 -1) into 1 11.824 * [backup-simplify]: Simplify (+ 0 1) into 1 11.825 * [backup-simplify]: Simplify (sqrt 1) into 1 11.826 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.826 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.827 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.827 * [backup-simplify]: Simplify (+ 0 0) into 0 11.828 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.829 * [backup-simplify]: Simplify (sqrt 0) into 0 11.830 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.830 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 11.830 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 11.830 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 11.830 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 11.830 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 11.830 * [taylor]: Taking taylor expansion of (/ -1 re) in re 11.830 * [taylor]: Taking taylor expansion of -1 in re 11.830 * [backup-simplify]: Simplify -1 into -1 11.830 * [taylor]: Taking taylor expansion of re in re 11.830 * [backup-simplify]: Simplify 0 into 0 11.830 * [backup-simplify]: Simplify 1 into 1 11.831 * [backup-simplify]: Simplify (/ -1 1) into -1 11.831 * [taylor]: Taking taylor expansion of (/ -1 re) in re 11.831 * [taylor]: Taking taylor expansion of -1 in re 11.831 * [backup-simplify]: Simplify -1 into -1 11.831 * [taylor]: Taking taylor expansion of re in re 11.831 * [backup-simplify]: Simplify 0 into 0 11.831 * [backup-simplify]: Simplify 1 into 1 11.831 * [backup-simplify]: Simplify (/ -1 1) into -1 11.831 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 11.831 * [taylor]: Taking taylor expansion of (/ -1 im) in re 11.831 * [taylor]: Taking taylor expansion of -1 in re 11.831 * [backup-simplify]: Simplify -1 into -1 11.831 * [taylor]: Taking taylor expansion of im in re 11.832 * [backup-simplify]: Simplify im into im 11.832 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 11.832 * [taylor]: Taking taylor expansion of (/ -1 im) in re 11.832 * [taylor]: Taking taylor expansion of -1 in re 11.832 * [backup-simplify]: Simplify -1 into -1 11.832 * [taylor]: Taking taylor expansion of im in re 11.832 * [backup-simplify]: Simplify im into im 11.832 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 11.832 * [backup-simplify]: Simplify (* -1 -1) into 1 11.833 * [backup-simplify]: Simplify (+ 1 0) into 1 11.833 * [backup-simplify]: Simplify (sqrt 1) into 1 11.834 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.835 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.835 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.836 * [backup-simplify]: Simplify (+ 0 0) into 0 11.837 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.837 * [backup-simplify]: Simplify (sqrt 0) into 0 11.838 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.838 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 11.838 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 11.838 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 11.838 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 11.838 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 11.839 * [taylor]: Taking taylor expansion of (/ -1 re) in re 11.839 * [taylor]: Taking taylor expansion of -1 in re 11.839 * [backup-simplify]: Simplify -1 into -1 11.839 * [taylor]: Taking taylor expansion of re in re 11.839 * [backup-simplify]: Simplify 0 into 0 11.839 * [backup-simplify]: Simplify 1 into 1 11.839 * [backup-simplify]: Simplify (/ -1 1) into -1 11.839 * [taylor]: Taking taylor expansion of (/ -1 re) in re 11.839 * [taylor]: Taking taylor expansion of -1 in re 11.839 * [backup-simplify]: Simplify -1 into -1 11.839 * [taylor]: Taking taylor expansion of re in re 11.839 * [backup-simplify]: Simplify 0 into 0 11.839 * [backup-simplify]: Simplify 1 into 1 11.840 * [backup-simplify]: Simplify (/ -1 1) into -1 11.840 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 11.840 * [taylor]: Taking taylor expansion of (/ -1 im) in re 11.840 * [taylor]: Taking taylor expansion of -1 in re 11.840 * [backup-simplify]: Simplify -1 into -1 11.840 * [taylor]: Taking taylor expansion of im in re 11.840 * [backup-simplify]: Simplify im into im 11.840 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 11.840 * [taylor]: Taking taylor expansion of (/ -1 im) in re 11.840 * [taylor]: Taking taylor expansion of -1 in re 11.840 * [backup-simplify]: Simplify -1 into -1 11.840 * [taylor]: Taking taylor expansion of im in re 11.840 * [backup-simplify]: Simplify im into im 11.840 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 11.840 * [backup-simplify]: Simplify (* -1 -1) into 1 11.841 * [backup-simplify]: Simplify (+ 1 0) into 1 11.841 * [backup-simplify]: Simplify (sqrt 1) into 1 11.842 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.843 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.843 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.844 * [backup-simplify]: Simplify (+ 0 0) into 0 11.845 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.845 * [backup-simplify]: Simplify (sqrt 0) into 0 11.846 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.847 * [taylor]: Taking taylor expansion of 0 in im 11.847 * [backup-simplify]: Simplify 0 into 0 11.847 * [taylor]: Taking taylor expansion of +nan.0 in im 11.847 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.847 * [backup-simplify]: Simplify 0 into 0 11.850 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.850 * [taylor]: Taking taylor expansion of +nan.0 in im 11.850 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.850 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.850 * [backup-simplify]: Simplify 0 into 0 11.851 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.852 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.853 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 11.853 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 11.853 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 11.854 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 11.856 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 11.857 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 11.857 * [taylor]: Taking taylor expansion of +nan.0 in im 11.857 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.857 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 11.857 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 11.857 * [taylor]: Taking taylor expansion of 1/2 in im 11.857 * [backup-simplify]: Simplify 1/2 into 1/2 11.857 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.857 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.857 * [taylor]: Taking taylor expansion of im in im 11.857 * [backup-simplify]: Simplify 0 into 0 11.857 * [backup-simplify]: Simplify 1 into 1 11.857 * [backup-simplify]: Simplify (* 1 1) into 1 11.858 * [backup-simplify]: Simplify (/ 1 1) into 1 11.858 * [taylor]: Taking taylor expansion of +nan.0 in im 11.858 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.858 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.860 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.860 * [backup-simplify]: Simplify (+ 0 0) into 0 11.860 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 11.861 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 11.861 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0 11.861 * [backup-simplify]: Simplify 0 into 0 11.862 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.862 * [backup-simplify]: Simplify 0 into 0 11.862 * [backup-simplify]: Simplify 0 into 0 11.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.865 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 11.865 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 11.865 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 11.865 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 11.865 * [backup-simplify]: Simplify (+ 0 0) into 0 11.866 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 11.868 * [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))) 11.868 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 11.868 * [taylor]: Taking taylor expansion of +nan.0 in im 11.868 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.868 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 11.868 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 11.868 * [taylor]: Taking taylor expansion of +nan.0 in im 11.868 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.868 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.868 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.868 * [taylor]: Taking taylor expansion of im in im 11.868 * [backup-simplify]: Simplify 0 into 0 11.868 * [backup-simplify]: Simplify 1 into 1 11.868 * [backup-simplify]: Simplify (* 1 1) into 1 11.869 * [backup-simplify]: Simplify (/ 1 1) into 1 11.869 * [taylor]: Taking taylor expansion of (- +nan.0) in im 11.869 * [taylor]: Taking taylor expansion of +nan.0 in im 11.869 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.871 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 11.871 * [backup-simplify]: Simplify (+ 0 0) into 0 11.872 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 11.872 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 11.873 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0 11.873 * [backup-simplify]: Simplify 0 into 0 11.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.882 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 11.883 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.884 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 11.886 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0) 11.886 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.887 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 (- re))) 2)) (+ (* +nan.0 (* 1 (/ 1 (- re)))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) 11.887 * * * [progress]: simplifying candidates 11.889 * [simplify]: Simplifying: (expm1 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (log1p (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (exp (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (* (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (expm1 (sqrt (hypot re im))) (log1p (sqrt (hypot re im))) (log (sqrt (hypot re im))) (exp (sqrt (hypot re im))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (cbrt (sqrt (hypot re im))) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (sqrt (cbrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt 1) (sqrt (hypot re im)) (/ 1 2) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (- im re) (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- re +nan.0))) (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- re +nan.0))) im re (* -1 re) im re (* -1 re) (- (+ (* +nan.0 (pow re 2)) (- (+ (* +nan.0 im) (- (* +nan.0 (pow im 2))))))) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) 11.891 * * [simplify]: Extracting # 0 : cost 0 11.891 * * [simplify]: Extracting # 1 : cost 0 11.891 * * [simplify]: Extracting # 2 : cost 0 11.891 * * [simplify]: Extracting # 3 : cost 0 11.891 * * [simplify]: Extracting # 4 : cost 0 11.891 * * [simplify]: Extracting # 5 : cost 0 11.892 * * [simplify]: Extracting # 6 : cost 0 11.892 * * [simplify]: Extracting # 7 : cost 0 11.892 * * [simplify]: Extracting # 8 : cost 0 11.892 * * [simplify]: Extracting # 9 : cost 0 11.893 * * [simplify]: Extracting # 10 : cost 0 11.893 * * [simplify]: iteration 0 : 69 enodes (cost 452 ) 11.920 * * [simplify]: Extracting # 0 : cost 0 11.920 * * [simplify]: Extracting # 1 : cost 0 11.920 * * [simplify]: Extracting # 2 : cost 0 11.921 * * [simplify]: Extracting # 3 : cost 0 11.921 * * [simplify]: iteration 1 : 131 enodes (cost 360 ) 11.985 * * [simplify]: Extracting # 0 : cost 0 11.985 * * [simplify]: Extracting # 1 : cost 0 11.986 * * [simplify]: Extracting # 2 : cost 0 11.986 * * [simplify]: Extracting # 3 : cost 0 11.986 * * [simplify]: iteration 2 : 294 enodes (cost 314 ) 12.148 * * [simplify]: Extracting # 0 : cost 0 12.150 * * [simplify]: Extracting # 1 : cost 0 12.152 * * [simplify]: Extracting # 2 : cost 0 12.153 * * [simplify]: Extracting # 3 : cost 0 12.155 * * [simplify]: Extracting # 4 : cost 0 12.157 * * [simplify]: iteration 3 : 778 enodes (cost 310 ) 13.041 * * [simplify]: Extracting # 0 : cost 0 13.047 * * [simplify]: Extracting # 1 : cost 0 13.050 * * [simplify]: Extracting # 2 : cost 0 13.054 * * [simplify]: Extracting # 3 : cost 0 13.064 * * [simplify]: Extracting # 4 : cost 0 13.067 * * [simplify]: iteration 4 : 2102 enodes (cost 309 ) 15.256 * * [simplify]: Extracting # 0 : cost 0 15.261 * * [simplify]: Extracting # 1 : cost 0 15.266 * * [simplify]: Extracting # 2 : cost 0 15.273 * * [simplify]: Extracting # 3 : cost 0 15.281 * * [simplify]: Extracting # 4 : cost 0 15.285 * * [simplify]: iteration done: 5000 enodes (cost 302 ) 15.285 * [simplify]: Simplified to: (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (hypot re im) (log (- (hypot re im) re)) (exp (- (hypot re im) re)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (pow (- (hypot re im) re) 3) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (expm1 (hypot re im)) (log1p (hypot re im)) (fma im im (* re re)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (sqrt (hypot re im)) (sqrt (hypot re im)) (expm1 (hypot re im)) (log1p (hypot re im)) (fma im im (* re re)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (sqrt (hypot re im)) (sqrt (hypot re im)) (expm1 (sqrt (hypot re im))) (log1p (sqrt (hypot re im))) (log (sqrt (hypot re im))) (exp (sqrt (hypot re im))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (cbrt (sqrt (hypot re im))) (pow (sqrt (hypot re im)) 3) (fabs (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) 1 (sqrt (hypot re im)) 1/2 (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (- im re) (- +nan.0 (fma (/ (pow im 2) (pow re 2)) +nan.0 re)) (- +nan.0 (fma (/ (pow im 2) (pow re 2)) +nan.0 re)) im re (- re) im re (- re) (* (- im (fma im im (* re re))) +nan.0) (- (/ (- +nan.0 (/ +nan.0 re)) re) +nan.0) (- (/ (- +nan.0 (/ +nan.0 re)) re) +nan.0) 15.286 * * * [progress]: adding candidates to table 15.562 * [progress]: [Phase 3 of 3] Extracting. 15.562 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # #) 15.566 * * * [regime-changes]: Trying 2 branch expressions: (im re) 15.566 * * * * [regimes]: Trying to branch on im from (# # # # # # # # # # # #) 15.636 * * * * [regimes]: Trying to branch on re from (# # # # # # # # # # # #) 15.701 * * * [regime]: Found split indices: #