0.514 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.073 * * * [progress]: [2/2] Setting up program. 0.077 * [progress]: [Phase 2 of 3] Improving. 0.079 * [simplify]: Simplifying: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.109 * * [progress]: iteration 1 / 4 0.109 * * * [progress]: picking best candidate 0.152 * * * * [pick]: Picked # 0.152 * * * [progress]: localizing error 0.168 * * * [progress]: generating rewritten candidates 0.169 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.180 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.231 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.304 * * * [progress]: generating series expansions 0.304 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.313 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.313 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.314 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.314 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.314 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.314 * [taylor]: Taking taylor expansion of re in im 0.314 * [backup-simplify]: Simplify re into re 0.314 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.315 * [taylor]: Taking taylor expansion of im in im 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify 1 into 1 0.316 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.316 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.316 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.316 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.318 * [backup-simplify]: Simplify (+ 0 0) into 0 0.318 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.318 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.318 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.318 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.318 * [taylor]: Taking taylor expansion of re in re 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify 1 into 1 0.318 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.318 * [taylor]: Taking taylor expansion of im in re 0.318 * [backup-simplify]: Simplify im into im 0.318 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.318 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.318 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.319 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.319 * [backup-simplify]: Simplify (+ 0 0) into 0 0.319 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.319 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.319 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.319 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.319 * [taylor]: Taking taylor expansion of re in re 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify 1 into 1 0.319 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.319 * [taylor]: Taking taylor expansion of im in re 0.319 * [backup-simplify]: Simplify im into im 0.320 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.320 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.320 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.320 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.320 * [backup-simplify]: Simplify (+ 0 0) into 0 0.320 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.321 * [taylor]: Taking taylor expansion of im in im 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 1 into 1 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [taylor]: Taking taylor expansion of 0 in im 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 1 into 1 0.322 * [backup-simplify]: Simplify (* 1 1) into 1 0.323 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.323 * [backup-simplify]: Simplify (+ 1 0) into 1 0.324 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.324 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.324 * [taylor]: Taking taylor expansion of 1/2 in im 0.324 * [backup-simplify]: Simplify 1/2 into 1/2 0.324 * [taylor]: Taking taylor expansion of im in im 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 1 into 1 0.325 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.326 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.328 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.328 * [backup-simplify]: Simplify (+ 0 0) into 0 0.328 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.328 * [taylor]: Taking taylor expansion of 0 in im 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.330 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.330 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.330 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.330 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.330 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.330 * [taylor]: Taking taylor expansion of im in im 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 1 into 1 0.331 * [backup-simplify]: Simplify (* 1 1) into 1 0.331 * [backup-simplify]: Simplify (/ 1 1) into 1 0.331 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.331 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.331 * [taylor]: Taking taylor expansion of re in im 0.331 * [backup-simplify]: Simplify re into re 0.331 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.332 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.332 * [backup-simplify]: Simplify (+ 1 0) into 1 0.332 * [backup-simplify]: Simplify (sqrt 1) into 1 0.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.334 * [backup-simplify]: Simplify (+ 0 0) into 0 0.335 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.335 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.335 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.335 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.335 * [taylor]: Taking taylor expansion of im in re 0.335 * [backup-simplify]: Simplify im into im 0.335 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.335 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.336 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.336 * [taylor]: Taking taylor expansion of re in re 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify 1 into 1 0.336 * [backup-simplify]: Simplify (* 1 1) into 1 0.336 * [backup-simplify]: Simplify (/ 1 1) into 1 0.337 * [backup-simplify]: Simplify (+ 0 1) into 1 0.337 * [backup-simplify]: Simplify (sqrt 1) into 1 0.338 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.339 * [backup-simplify]: Simplify (+ 0 0) into 0 0.340 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.340 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.340 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.340 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.340 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.340 * [taylor]: Taking taylor expansion of im in re 0.340 * [backup-simplify]: Simplify im into im 0.340 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.340 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.340 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.340 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.340 * [taylor]: Taking taylor expansion of re in re 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify 1 into 1 0.341 * [backup-simplify]: Simplify (* 1 1) into 1 0.341 * [backup-simplify]: Simplify (/ 1 1) into 1 0.341 * [backup-simplify]: Simplify (+ 0 1) into 1 0.342 * [backup-simplify]: Simplify (sqrt 1) into 1 0.342 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.344 * [backup-simplify]: Simplify (+ 0 0) into 0 0.344 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.344 * [taylor]: Taking taylor expansion of 1 in im 0.344 * [backup-simplify]: Simplify 1 into 1 0.344 * [taylor]: Taking taylor expansion of 0 in im 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify 1 into 1 0.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.347 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.348 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.348 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.348 * [taylor]: Taking taylor expansion of 1/2 in im 0.348 * [backup-simplify]: Simplify 1/2 into 1/2 0.348 * [taylor]: Taking taylor expansion of (pow im 2) 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 0.349 * [backup-simplify]: Simplify (* 1 1) into 1 0.349 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.351 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.351 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.353 * [backup-simplify]: Simplify (+ 0 0) into 0 0.354 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.354 * [taylor]: Taking taylor expansion of 0 in im 0.354 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 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 0 into 0 0.356 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.357 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.357 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.357 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.357 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.357 * [taylor]: Taking taylor expansion of (pow im 2) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.358 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.358 * [taylor]: Taking taylor expansion of re in im 0.358 * [backup-simplify]: Simplify re into re 0.358 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.358 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.359 * [backup-simplify]: Simplify (+ 1 0) into 1 0.359 * [backup-simplify]: Simplify (sqrt 1) into 1 0.360 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 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 (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.361 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.361 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.362 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.362 * [taylor]: Taking taylor expansion of im in re 0.362 * [backup-simplify]: Simplify im into im 0.362 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.362 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.362 * [taylor]: Taking taylor expansion of (pow re 2) 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 0.363 * [backup-simplify]: Simplify (/ 1 1) into 1 0.363 * [backup-simplify]: Simplify (+ 0 1) into 1 0.363 * [backup-simplify]: Simplify (sqrt 1) into 1 0.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.365 * [backup-simplify]: Simplify (+ 0 0) into 0 0.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.366 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.366 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.366 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.366 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.366 * [taylor]: Taking taylor expansion of im in re 0.366 * [backup-simplify]: Simplify im into im 0.366 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.367 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.367 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.367 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.367 * [taylor]: Taking taylor expansion of re in re 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify 1 into 1 0.367 * [backup-simplify]: Simplify (* 1 1) into 1 0.368 * [backup-simplify]: Simplify (/ 1 1) into 1 0.368 * [backup-simplify]: Simplify (+ 0 1) into 1 0.368 * [backup-simplify]: Simplify (sqrt 1) into 1 0.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.370 * [backup-simplify]: Simplify (+ 0 0) into 0 0.371 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.371 * [taylor]: Taking taylor expansion of 1 in im 0.371 * [backup-simplify]: Simplify 1 into 1 0.371 * [taylor]: Taking taylor expansion of 0 in im 0.371 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify 1 into 1 0.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.373 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) 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)) 0.374 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.374 * [taylor]: Taking taylor expansion of 1/2 in im 0.374 * [backup-simplify]: Simplify 1/2 into 1/2 0.374 * [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 0.375 * [backup-simplify]: Simplify (* 1 1) into 1 0.375 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.376 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.376 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.376 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.378 * [backup-simplify]: Simplify (+ 0 0) into 0 0.383 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.383 * [taylor]: Taking taylor expansion of 0 in im 0.383 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.384 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.385 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.385 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 0.385 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 0.385 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.385 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.385 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.385 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.385 * [taylor]: Taking taylor expansion of re in im 0.385 * [backup-simplify]: Simplify re into re 0.385 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.385 * [taylor]: Taking taylor expansion of im in im 0.385 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify 1 into 1 0.385 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.385 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.385 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.385 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.385 * [backup-simplify]: Simplify (+ 0 0) into 0 0.386 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.386 * [taylor]: Taking taylor expansion of re in im 0.386 * [backup-simplify]: Simplify re into re 0.386 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.386 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.386 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.386 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.386 * [taylor]: Taking taylor expansion of re in re 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify 1 into 1 0.386 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.386 * [taylor]: Taking taylor expansion of im in re 0.386 * [backup-simplify]: Simplify im into im 0.386 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.386 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.386 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.386 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.386 * [backup-simplify]: Simplify (+ 0 0) into 0 0.386 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.386 * [taylor]: Taking taylor expansion of re in re 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify 1 into 1 0.386 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.386 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.386 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.386 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.387 * [taylor]: Taking taylor expansion of re in re 0.387 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify 1 into 1 0.387 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.387 * [taylor]: Taking taylor expansion of im in re 0.387 * [backup-simplify]: Simplify im into im 0.387 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.387 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.387 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.387 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.387 * [backup-simplify]: Simplify (+ 0 0) into 0 0.387 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.387 * [taylor]: Taking taylor expansion of re in re 0.387 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify 1 into 1 0.388 * [backup-simplify]: Simplify (- 0) into 0 0.388 * [backup-simplify]: Simplify (+ im 0) into im 0.388 * [taylor]: Taking taylor expansion of im in im 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify 1 into 1 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify (- 1) into -1 0.388 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.388 * [taylor]: Taking taylor expansion of -1 in im 0.388 * [backup-simplify]: Simplify -1 into -1 0.388 * [backup-simplify]: Simplify -1 into -1 0.388 * [backup-simplify]: Simplify 1 into 1 0.388 * [backup-simplify]: Simplify (* 1 1) into 1 0.389 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.389 * [backup-simplify]: Simplify (+ 1 0) into 1 0.389 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.390 * [backup-simplify]: Simplify (- 0) into 0 0.390 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 0.390 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.390 * [taylor]: Taking taylor expansion of 1/2 in im 0.390 * [backup-simplify]: Simplify 1/2 into 1/2 0.390 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.390 * [taylor]: Taking taylor expansion of im in im 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify 1 into 1 0.390 * [backup-simplify]: Simplify (/ 1 1) into 1 0.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.391 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.391 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.392 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.392 * [backup-simplify]: Simplify (+ 0 0) into 0 0.392 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.393 * [backup-simplify]: Simplify (- 0) into 0 0.393 * [backup-simplify]: Simplify (+ 0 0) into 0 0.393 * [taylor]: Taking taylor expansion of 0 in im 0.393 * [backup-simplify]: Simplify 0 into 0 0.393 * [backup-simplify]: Simplify 0 into 0 0.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.394 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.394 * [backup-simplify]: Simplify 0 into 0 0.394 * [backup-simplify]: Simplify 0 into 0 0.394 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 0.394 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 0.394 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.394 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.394 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.394 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.394 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.394 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.394 * [taylor]: Taking taylor expansion of im in im 0.394 * [backup-simplify]: Simplify 0 into 0 0.394 * [backup-simplify]: Simplify 1 into 1 0.395 * [backup-simplify]: Simplify (* 1 1) into 1 0.395 * [backup-simplify]: Simplify (/ 1 1) into 1 0.395 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.395 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.395 * [taylor]: Taking taylor expansion of re in im 0.395 * [backup-simplify]: Simplify re into re 0.395 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.395 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.395 * [backup-simplify]: Simplify (+ 1 0) into 1 0.396 * [backup-simplify]: Simplify (sqrt 1) into 1 0.396 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.397 * [backup-simplify]: Simplify (+ 0 0) into 0 0.397 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.397 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.397 * [taylor]: Taking taylor expansion of re in im 0.397 * [backup-simplify]: Simplify re into re 0.397 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.397 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.397 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.397 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.397 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.397 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.397 * [taylor]: Taking taylor expansion of im in re 0.397 * [backup-simplify]: Simplify im into im 0.397 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.397 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.397 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.397 * [taylor]: Taking taylor expansion of (pow re 2) in re 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 0.398 * [backup-simplify]: Simplify (* 1 1) into 1 0.398 * [backup-simplify]: Simplify (/ 1 1) into 1 0.398 * [backup-simplify]: Simplify (+ 0 1) into 1 0.398 * [backup-simplify]: Simplify (sqrt 1) into 1 0.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.399 * [backup-simplify]: Simplify (+ 0 0) into 0 0.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.400 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.400 * [taylor]: Taking taylor expansion of re in re 0.400 * [backup-simplify]: Simplify 0 into 0 0.400 * [backup-simplify]: Simplify 1 into 1 0.400 * [backup-simplify]: Simplify (/ 1 1) into 1 0.400 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.400 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.400 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.400 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.400 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.400 * [taylor]: Taking taylor expansion of im in re 0.400 * [backup-simplify]: Simplify im into im 0.400 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.400 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.400 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.401 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.401 * [taylor]: Taking taylor expansion of re in re 0.401 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify 1 into 1 0.401 * [backup-simplify]: Simplify (* 1 1) into 1 0.401 * [backup-simplify]: Simplify (/ 1 1) into 1 0.401 * [backup-simplify]: Simplify (+ 0 1) into 1 0.401 * [backup-simplify]: Simplify (sqrt 1) into 1 0.402 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.402 * [backup-simplify]: Simplify (+ 0 0) into 0 0.403 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.403 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.403 * [taylor]: Taking taylor expansion of re in re 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify 1 into 1 0.403 * [backup-simplify]: Simplify (/ 1 1) into 1 0.404 * [backup-simplify]: Simplify (- 1) into -1 0.404 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.404 * [taylor]: Taking taylor expansion of 0 in im 0.404 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.405 * [backup-simplify]: Simplify (- 0) into 0 0.406 * [backup-simplify]: Simplify (+ 0 0) into 0 0.406 * [taylor]: Taking taylor expansion of 0 in im 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.408 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.409 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.410 * [backup-simplify]: Simplify (- 0) into 0 0.410 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) 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 0.411 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.411 * [taylor]: Taking taylor expansion of im in im 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify 1 into 1 0.411 * [backup-simplify]: Simplify (* 1 1) into 1 0.411 * [backup-simplify]: Simplify (/ 1 1) into 1 0.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.413 * [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 (+ (* im 0) (* 0 im)) into 0 0.414 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.416 * [backup-simplify]: Simplify (+ 0 0) into 0 0.417 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.418 * [backup-simplify]: Simplify (- 0) into 0 0.418 * [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 0.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.421 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 0.422 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.422 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.422 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.422 * [taylor]: Taking taylor expansion of re in im 0.422 * [backup-simplify]: Simplify re into re 0.422 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.422 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.422 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.422 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.422 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.422 * [taylor]: Taking taylor expansion of im in im 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify 1 into 1 0.423 * [backup-simplify]: Simplify (* 1 1) into 1 0.423 * [backup-simplify]: Simplify (/ 1 1) into 1 0.423 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.423 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.423 * [taylor]: Taking taylor expansion of re in im 0.423 * [backup-simplify]: Simplify re into re 0.423 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.424 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.424 * [backup-simplify]: Simplify (+ 1 0) into 1 0.424 * [backup-simplify]: Simplify (sqrt 1) into 1 0.425 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.426 * [backup-simplify]: Simplify (+ 0 0) into 0 0.427 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.427 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.427 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.427 * [taylor]: Taking taylor expansion of re in re 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify 1 into 1 0.427 * [backup-simplify]: Simplify (/ 1 1) into 1 0.427 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.427 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.427 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.427 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.427 * [taylor]: Taking taylor expansion of im in re 0.427 * [backup-simplify]: Simplify im into im 0.428 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.428 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.428 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.428 * [taylor]: Taking taylor expansion of (pow re 2) 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 * [backup-simplify]: Simplify (* 1 1) into 1 0.429 * [backup-simplify]: Simplify (/ 1 1) into 1 0.429 * [backup-simplify]: Simplify (+ 0 1) into 1 0.429 * [backup-simplify]: Simplify (sqrt 1) into 1 0.430 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.431 * [backup-simplify]: Simplify (+ 0 0) into 0 0.432 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.432 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.432 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.432 * [taylor]: Taking taylor expansion of re in re 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify 1 into 1 0.432 * [backup-simplify]: Simplify (/ 1 1) into 1 0.432 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.432 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.432 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.432 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.432 * [taylor]: Taking taylor expansion of im in re 0.433 * [backup-simplify]: Simplify im into im 0.433 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.433 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.433 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.433 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.433 * [taylor]: Taking taylor expansion of re in re 0.433 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify 1 into 1 0.433 * [backup-simplify]: Simplify (* 1 1) into 1 0.434 * [backup-simplify]: Simplify (/ 1 1) into 1 0.434 * [backup-simplify]: Simplify (+ 0 1) into 1 0.434 * [backup-simplify]: Simplify (sqrt 1) into 1 0.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.436 * [backup-simplify]: Simplify (+ 0 0) into 0 0.437 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.437 * [backup-simplify]: Simplify (+ 1 1) into 2 0.437 * [taylor]: Taking taylor expansion of 2 in im 0.437 * [backup-simplify]: Simplify 2 into 2 0.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.438 * [backup-simplify]: Simplify (+ 0 0) into 0 0.439 * [taylor]: Taking taylor expansion of 0 in im 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 2 into 2 0.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.441 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.443 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.443 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.443 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.443 * [taylor]: Taking taylor expansion of 1/2 in im 0.443 * [backup-simplify]: Simplify 1/2 into 1/2 0.443 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.443 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.443 * [taylor]: Taking taylor expansion of im in im 0.443 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify 1 into 1 0.444 * [backup-simplify]: Simplify (* 1 1) into 1 0.444 * [backup-simplify]: Simplify (/ 1 1) into 1 0.445 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.446 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.446 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.447 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.448 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.450 * [backup-simplify]: Simplify (+ 0 0) into 0 0.451 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.451 * [backup-simplify]: Simplify (+ 0 0) into 0 0.451 * [taylor]: Taking taylor expansion of 0 in im 0.451 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.454 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.454 * [backup-simplify]: Simplify 0 into 0 0.454 * [backup-simplify]: Simplify 0 into 0 0.454 * [backup-simplify]: Simplify 0 into 0 0.454 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 0.454 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.455 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) 0.455 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in (re im) around 0 0.455 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im 0.455 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.455 * [taylor]: Taking taylor expansion of 2.0 in im 0.455 * [backup-simplify]: Simplify 2.0 into 2.0 0.456 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.456 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.456 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 0.457 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.457 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.457 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.457 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.457 * [taylor]: Taking taylor expansion of re in im 0.457 * [backup-simplify]: Simplify re into re 0.457 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.457 * [taylor]: Taking taylor expansion of im in im 0.457 * [backup-simplify]: Simplify 0 into 0 0.457 * [backup-simplify]: Simplify 1 into 1 0.457 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.457 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.457 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.457 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.458 * [backup-simplify]: Simplify (+ 0 0) into 0 0.458 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.458 * [taylor]: Taking taylor expansion of re in im 0.458 * [backup-simplify]: Simplify re into re 0.458 * [backup-simplify]: Simplify (- re) into (- re) 0.458 * [backup-simplify]: Simplify (+ re (- re)) into 0 0.458 * [backup-simplify]: Simplify (- 0) into 0 0.459 * [backup-simplify]: Simplify (+ 0 0) into 0 0.459 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 0.460 * [backup-simplify]: Simplify (* 1 1) into 1 0.460 * [backup-simplify]: Simplify (+ 0 1) into 1 0.461 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 0.461 * [backup-simplify]: Simplify (- 0) into 0 0.461 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 0.461 * [backup-simplify]: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 0.462 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 0.463 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.463 * [backup-simplify]: Simplify (+ 0 0) into 0 0.463 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 0.464 * [backup-simplify]: Simplify (- 0) into 0 0.464 * [backup-simplify]: Simplify (+ 0 0) into 0 0.464 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0 0.464 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.464 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.464 * [taylor]: Taking taylor expansion of 2.0 in re 0.464 * [backup-simplify]: Simplify 2.0 into 2.0 0.464 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.465 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.465 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.465 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.465 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.465 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.465 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.465 * [taylor]: Taking taylor expansion of re in re 0.465 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify 1 into 1 0.465 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.465 * [taylor]: Taking taylor expansion of im in re 0.465 * [backup-simplify]: Simplify im into im 0.465 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.465 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.465 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.465 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.465 * [backup-simplify]: Simplify (+ 0 0) into 0 0.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.466 * [taylor]: Taking taylor expansion of re in re 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify 1 into 1 0.466 * [backup-simplify]: Simplify (- 0) into 0 0.466 * [backup-simplify]: Simplify (+ im 0) into im 0.466 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.467 * [backup-simplify]: Simplify (- 1) into -1 0.467 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.467 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 0.467 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.467 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.467 * [taylor]: Taking taylor expansion of 2.0 in re 0.467 * [backup-simplify]: Simplify 2.0 into 2.0 0.468 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.468 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.468 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.468 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.468 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.468 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.468 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.468 * [taylor]: Taking taylor expansion of re in re 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify 1 into 1 0.468 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.469 * [taylor]: Taking taylor expansion of im in re 0.469 * [backup-simplify]: Simplify im into im 0.469 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.469 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.469 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.469 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.469 * [backup-simplify]: Simplify (+ 0 0) into 0 0.469 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.469 * [taylor]: Taking taylor expansion of re in re 0.469 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify 1 into 1 0.470 * [backup-simplify]: Simplify (- 0) into 0 0.470 * [backup-simplify]: Simplify (+ im 0) into im 0.470 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.470 * [backup-simplify]: Simplify (- 1) into -1 0.470 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.470 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 0.471 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 0.471 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.471 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.471 * [taylor]: Taking taylor expansion of 2.0 in im 0.471 * [backup-simplify]: Simplify 2.0 into 2.0 0.471 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.471 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.471 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.471 * [taylor]: Taking taylor expansion of im in im 0.471 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify 1 into 1 0.472 * [backup-simplify]: Simplify (sqrt 0) into 0 0.473 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.474 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.475 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.475 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* -1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) 0.475 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 0.475 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.475 * [taylor]: Taking taylor expansion of 1/2 in im 0.475 * [backup-simplify]: Simplify 1/2 into 1/2 0.475 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.475 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.475 * [taylor]: Taking taylor expansion of 2.0 in im 0.475 * [backup-simplify]: Simplify 2.0 into 2.0 0.476 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.476 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.476 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.476 * [taylor]: Taking taylor expansion of im in im 0.476 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify 1 into 1 0.476 * [backup-simplify]: Simplify (/ 1 1) into 1 0.477 * [backup-simplify]: Simplify (sqrt 0) into 0 0.477 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.479 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.480 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.482 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.483 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.483 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.486 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.487 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.488 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.490 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.490 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.492 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.493 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.496 * [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)))))))) 0.496 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) 0.496 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in (re im) around 0 0.496 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.496 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.496 * [taylor]: Taking taylor expansion of 2.0 in im 0.496 * [backup-simplify]: Simplify 2.0 into 2.0 0.501 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.501 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.501 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.501 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.501 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.501 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 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 0.502 * [backup-simplify]: Simplify (* 1 1) into 1 0.502 * [backup-simplify]: Simplify (/ 1 1) into 1 0.502 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.502 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.502 * [taylor]: Taking taylor expansion of re in im 0.502 * [backup-simplify]: Simplify re into re 0.502 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.502 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.502 * [backup-simplify]: Simplify (+ 1 0) into 1 0.503 * [backup-simplify]: Simplify (sqrt 1) into 1 0.503 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.504 * [backup-simplify]: Simplify (+ 0 0) into 0 0.504 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.504 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.504 * [taylor]: Taking taylor expansion of re in im 0.504 * [backup-simplify]: Simplify re into re 0.504 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.504 * [backup-simplify]: Simplify (+ 1 0) into 1 0.505 * [backup-simplify]: Simplify (sqrt 0) into 0 0.505 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.505 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.505 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.505 * [taylor]: Taking taylor expansion of 2.0 in re 0.505 * [backup-simplify]: Simplify 2.0 into 2.0 0.506 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.506 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.506 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.506 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.506 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.506 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.506 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.506 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.506 * [taylor]: Taking taylor expansion of im in re 0.506 * [backup-simplify]: Simplify im into im 0.506 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.506 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.506 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.506 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.506 * [taylor]: Taking taylor expansion of re in re 0.507 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify 1 into 1 0.507 * [backup-simplify]: Simplify (* 1 1) into 1 0.507 * [backup-simplify]: Simplify (/ 1 1) into 1 0.507 * [backup-simplify]: Simplify (+ 0 1) into 1 0.507 * [backup-simplify]: Simplify (sqrt 1) into 1 0.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.508 * [backup-simplify]: Simplify (+ 0 0) into 0 0.509 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.509 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.509 * [taylor]: Taking taylor expansion of re in re 0.509 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify 1 into 1 0.509 * [backup-simplify]: Simplify (/ 1 1) into 1 0.509 * [backup-simplify]: Simplify (- 1) into -1 0.510 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.510 * [backup-simplify]: Simplify (- 0) into 0 0.510 * [backup-simplify]: Simplify (+ 0 0) into 0 0.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.512 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.512 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.513 * [backup-simplify]: Simplify (- 0) into 0 0.513 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.513 * [backup-simplify]: Simplify (sqrt 0) into 0 0.514 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.514 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 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 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.515 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.515 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.515 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.515 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.515 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.515 * [taylor]: Taking taylor expansion of im in re 0.515 * [backup-simplify]: Simplify im into im 0.515 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.515 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.515 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.515 * [taylor]: Taking taylor expansion of (pow re 2) 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 * [backup-simplify]: Simplify (* 1 1) into 1 0.515 * [backup-simplify]: Simplify (/ 1 1) into 1 0.516 * [backup-simplify]: Simplify (+ 0 1) into 1 0.516 * [backup-simplify]: Simplify (sqrt 1) into 1 0.516 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.517 * [backup-simplify]: Simplify (+ 0 0) into 0 0.518 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.518 * [taylor]: Taking taylor expansion of (/ 1 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.518 * [backup-simplify]: Simplify (- 1) into -1 0.518 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.519 * [backup-simplify]: Simplify (- 0) into 0 0.519 * [backup-simplify]: Simplify (+ 0 0) into 0 0.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.520 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.521 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.522 * [backup-simplify]: Simplify (- 0) into 0 0.522 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.522 * [backup-simplify]: Simplify (sqrt 0) into 0 0.523 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.523 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.523 * [taylor]: Taking taylor expansion of 0 in im 0.523 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 0.524 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.524 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.524 * [taylor]: Taking taylor expansion of +nan.0 in im 0.524 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.524 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.524 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.524 * [taylor]: Taking taylor expansion of 2.0 in im 0.524 * [backup-simplify]: Simplify 2.0 into 2.0 0.524 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.524 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.524 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.524 * [taylor]: Taking taylor expansion of im in im 0.524 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify 1 into 1 0.525 * [backup-simplify]: Simplify (* 1 1) into 1 0.525 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.526 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.526 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.527 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.527 * [backup-simplify]: Simplify (- 0) into 0 0.527 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.527 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.528 * [backup-simplify]: Simplify (+ 0 0) into 0 0.529 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.530 * [backup-simplify]: Simplify (- 0) into 0 0.530 * [backup-simplify]: Simplify (+ 0 0) into 0 0.530 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 0.531 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.532 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) 0.532 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.532 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.532 * [taylor]: Taking taylor expansion of +nan.0 in im 0.532 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.532 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.532 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.532 * [taylor]: Taking taylor expansion of 2.0 in im 0.532 * [backup-simplify]: Simplify 2.0 into 2.0 0.533 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.533 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.533 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.534 * [taylor]: Taking taylor expansion of im in im 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify 1 into 1 0.534 * [backup-simplify]: Simplify (* 1 1) into 1 0.535 * [backup-simplify]: Simplify (* 1 1) into 1 0.535 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.537 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.538 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.540 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.545 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.546 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.548 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.548 * [backup-simplify]: Simplify (- 0) into 0 0.548 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.551 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.553 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.553 * [backup-simplify]: Simplify (- 0) into 0 0.553 * [backup-simplify]: Simplify 0 into 0 0.553 * [backup-simplify]: Simplify 0 into 0 0.554 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.554 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.557 * [backup-simplify]: Simplify (+ 0 0) into 0 0.558 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 0.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.559 * [backup-simplify]: Simplify (- 0) into 0 0.559 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 0.560 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6)))))) 0.561 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.562 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))) (+ (* 0 (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) 0.562 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.562 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.562 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.562 * [taylor]: Taking taylor expansion of +nan.0 in im 0.562 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.562 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.562 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.562 * [taylor]: Taking taylor expansion of 2.0 in im 0.562 * [backup-simplify]: Simplify 2.0 into 2.0 0.562 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.563 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.563 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.563 * [taylor]: Taking taylor expansion of im in im 0.563 * [backup-simplify]: Simplify 0 into 0 0.563 * [backup-simplify]: Simplify 1 into 1 0.563 * [backup-simplify]: Simplify (* 1 1) into 1 0.563 * [backup-simplify]: Simplify (* 1 1) into 1 0.564 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.564 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.564 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.564 * [taylor]: Taking taylor expansion of +nan.0 in im 0.564 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.564 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.564 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.564 * [taylor]: Taking taylor expansion of 2.0 in im 0.564 * [backup-simplify]: Simplify 2.0 into 2.0 0.564 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.564 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.564 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.564 * [taylor]: Taking taylor expansion of im in im 0.565 * [backup-simplify]: Simplify 0 into 0 0.565 * [backup-simplify]: Simplify 1 into 1 0.565 * [backup-simplify]: Simplify (* 1 1) into 1 0.565 * [backup-simplify]: Simplify (* 1 1) into 1 0.565 * [backup-simplify]: Simplify (* 1 1) into 1 0.566 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.566 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.567 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.570 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.570 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.571 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.573 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.573 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.574 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.575 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.575 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.578 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.579 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.582 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.584 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.585 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.586 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.587 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.588 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 0.588 * [backup-simplify]: Simplify (- 0) into 0 0.589 * [backup-simplify]: Simplify (+ 0 0) into 0 0.589 * [backup-simplify]: Simplify (- 0) into 0 0.589 * [backup-simplify]: Simplify 0 into 0 0.589 * [backup-simplify]: Simplify 0 into 0 0.590 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) 0.590 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in (re im) around 0 0.590 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.590 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.590 * [taylor]: Taking taylor expansion of 2.0 in im 0.590 * [backup-simplify]: Simplify 2.0 into 2.0 0.590 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.591 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.591 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.591 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.591 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.591 * [taylor]: Taking taylor expansion of re in im 0.591 * [backup-simplify]: Simplify re into re 0.591 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.591 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.592 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.592 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.592 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.592 * [taylor]: Taking taylor expansion of im in im 0.592 * [backup-simplify]: Simplify 0 into 0 0.592 * [backup-simplify]: Simplify 1 into 1 0.592 * [backup-simplify]: Simplify (* 1 1) into 1 0.592 * [backup-simplify]: Simplify (/ 1 1) into 1 0.592 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.592 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.593 * [taylor]: Taking taylor expansion of re in im 0.593 * [backup-simplify]: Simplify re into re 0.593 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.593 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.593 * [backup-simplify]: Simplify (+ 1 0) into 1 0.594 * [backup-simplify]: Simplify (sqrt 1) into 1 0.594 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.595 * [backup-simplify]: Simplify (+ 0 0) into 0 0.596 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.597 * [backup-simplify]: Simplify (+ 0 1) into 1 0.597 * [backup-simplify]: Simplify (sqrt 0) into 0 0.598 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.598 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.598 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.598 * [taylor]: Taking taylor expansion of 2.0 in re 0.598 * [backup-simplify]: Simplify 2.0 into 2.0 0.599 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.600 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.600 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.600 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.600 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.600 * [taylor]: Taking taylor expansion of re in re 0.600 * [backup-simplify]: Simplify 0 into 0 0.600 * [backup-simplify]: Simplify 1 into 1 0.600 * [backup-simplify]: Simplify (/ 1 1) into 1 0.600 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.600 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.600 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.600 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.600 * [taylor]: Taking taylor expansion of im in re 0.600 * [backup-simplify]: Simplify im into im 0.600 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.601 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.601 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.601 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.601 * [taylor]: Taking taylor expansion of re in re 0.601 * [backup-simplify]: Simplify 0 into 0 0.601 * [backup-simplify]: Simplify 1 into 1 0.606 * [backup-simplify]: Simplify (* 1 1) into 1 0.607 * [backup-simplify]: Simplify (/ 1 1) into 1 0.607 * [backup-simplify]: Simplify (+ 0 1) into 1 0.607 * [backup-simplify]: Simplify (sqrt 1) into 1 0.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.608 * [backup-simplify]: Simplify (+ 0 0) into 0 0.609 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.609 * [backup-simplify]: Simplify (+ 1 1) into 2 0.609 * [backup-simplify]: Simplify (sqrt 0) into 0 0.610 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.610 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.610 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.610 * [taylor]: Taking taylor expansion of 2.0 in re 0.610 * [backup-simplify]: Simplify 2.0 into 2.0 0.610 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.611 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.611 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.611 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.611 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.611 * [taylor]: Taking taylor expansion of re in re 0.611 * [backup-simplify]: Simplify 0 into 0 0.611 * [backup-simplify]: Simplify 1 into 1 0.611 * [backup-simplify]: Simplify (/ 1 1) into 1 0.611 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.611 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.611 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.611 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.611 * [taylor]: Taking taylor expansion of im in re 0.611 * [backup-simplify]: Simplify im into im 0.611 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.611 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.611 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.611 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.611 * [taylor]: Taking taylor expansion of re in re 0.611 * [backup-simplify]: Simplify 0 into 0 0.611 * [backup-simplify]: Simplify 1 into 1 0.612 * [backup-simplify]: Simplify (* 1 1) into 1 0.612 * [backup-simplify]: Simplify (/ 1 1) into 1 0.612 * [backup-simplify]: Simplify (+ 0 1) into 1 0.612 * [backup-simplify]: Simplify (sqrt 1) into 1 0.613 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.613 * [backup-simplify]: Simplify (+ 0 0) into 0 0.614 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.614 * [backup-simplify]: Simplify (+ 1 1) into 2 0.614 * [backup-simplify]: Simplify (sqrt 0) into 0 0.615 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.615 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.615 * [taylor]: Taking taylor expansion of 0 in im 0.615 * [backup-simplify]: Simplify 0 into 0 0.616 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.616 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.616 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.616 * [taylor]: Taking taylor expansion of +nan.0 in im 0.616 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.616 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.616 * [taylor]: Taking taylor expansion of 2.0 in im 0.617 * [backup-simplify]: Simplify 2.0 into 2.0 0.617 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.617 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.617 * [backup-simplify]: Simplify 0 into 0 0.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.618 * [backup-simplify]: Simplify (+ 0 0) into 0 0.620 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.620 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.622 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.622 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.622 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.622 * [taylor]: Taking taylor expansion of +nan.0 in im 0.622 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.622 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.622 * [taylor]: Taking taylor expansion of 2.0 in im 0.622 * [backup-simplify]: Simplify 2.0 into 2.0 0.622 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.623 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.623 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.625 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.626 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.626 * [backup-simplify]: Simplify 0 into 0 0.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 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 1)) (* 0 (/ 0 1)))) into 0 0.629 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.630 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.631 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.633 * [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)) 0.634 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.636 * [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))))) 0.636 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.636 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.636 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.636 * [taylor]: Taking taylor expansion of +nan.0 in im 0.636 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.636 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.636 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.636 * [taylor]: Taking taylor expansion of 2.0 in im 0.636 * [backup-simplify]: Simplify 2.0 into 2.0 0.636 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.637 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.637 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.637 * [taylor]: Taking taylor expansion of im in im 0.637 * [backup-simplify]: Simplify 0 into 0 0.637 * [backup-simplify]: Simplify 1 into 1 0.637 * [backup-simplify]: Simplify (* 1 1) into 1 0.638 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.638 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.638 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.638 * [taylor]: Taking taylor expansion of +nan.0 in im 0.639 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.639 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.639 * [taylor]: Taking taylor expansion of 2.0 in im 0.639 * [backup-simplify]: Simplify 2.0 into 2.0 0.639 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.640 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.640 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.641 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.642 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.643 * [backup-simplify]: Simplify (+ 0 0) into 0 0.643 * [backup-simplify]: Simplify (- 0) into 0 0.643 * [backup-simplify]: Simplify 0 into 0 0.644 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.645 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.647 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.648 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.648 * [backup-simplify]: Simplify (- 0) into 0 0.648 * [backup-simplify]: Simplify 0 into 0 0.648 * [backup-simplify]: Simplify 0 into 0 0.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.649 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.649 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.652 * [backup-simplify]: Simplify (+ 0 0) into 0 0.652 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.653 * [backup-simplify]: Simplify (+ 0 0) into 0 0.654 * [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))) 0.655 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.657 * [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))))) 0.657 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.657 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.657 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.657 * [taylor]: Taking taylor expansion of +nan.0 in im 0.657 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.657 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.657 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.657 * [taylor]: Taking taylor expansion of 2.0 in im 0.657 * [backup-simplify]: Simplify 2.0 into 2.0 0.658 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.659 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.659 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.659 * [taylor]: Taking taylor expansion of im in im 0.659 * [backup-simplify]: Simplify 0 into 0 0.659 * [backup-simplify]: Simplify 1 into 1 0.659 * [backup-simplify]: Simplify (* 1 1) into 1 0.660 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.660 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.660 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.660 * [taylor]: Taking taylor expansion of +nan.0 in im 0.660 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.660 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.660 * [taylor]: Taking taylor expansion of 2.0 in im 0.660 * [backup-simplify]: Simplify 2.0 into 2.0 0.661 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.661 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.662 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.663 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.664 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.664 * [backup-simplify]: Simplify (+ 0 0) into 0 0.664 * [backup-simplify]: Simplify (- 0) into 0 0.664 * [backup-simplify]: Simplify 0 into 0 0.665 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.666 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.667 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.668 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.669 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.670 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.671 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.672 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.676 * [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))))))) 0.676 * * * [progress]: simplifying candidates 0.678 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- re) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (- re) (log (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (* (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) im re (* -1 re) (- im re) 0 (* -2 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))))))) 1.943 * * * [progress]: adding candidates to table 2.149 * * [progress]: iteration 2 / 4 2.149 * * * [progress]: picking best candidate 2.173 * * * * [pick]: Picked # 2.173 * * * [progress]: localizing error 2.189 * * * [progress]: generating rewritten candidates 2.189 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 2) 2.198 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 2.244 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 2.284 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2) 2.324 * * * [progress]: generating series expansions 2.324 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 2) 2.325 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 2.325 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 2.325 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.325 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.325 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.325 * [taylor]: Taking taylor expansion of re in im 2.325 * [backup-simplify]: Simplify re into re 2.325 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.325 * [taylor]: Taking taylor expansion of im in im 2.325 * [backup-simplify]: Simplify 0 into 0 2.325 * [backup-simplify]: Simplify 1 into 1 2.325 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.325 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.325 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.326 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.327 * [backup-simplify]: Simplify (+ 0 0) into 0 2.327 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.327 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.327 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.327 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.327 * [taylor]: Taking taylor expansion of re in re 2.327 * [backup-simplify]: Simplify 0 into 0 2.327 * [backup-simplify]: Simplify 1 into 1 2.327 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.327 * [taylor]: Taking taylor expansion of im in re 2.327 * [backup-simplify]: Simplify im into im 2.327 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.327 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.327 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.328 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.328 * [backup-simplify]: Simplify (+ 0 0) into 0 2.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.328 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.328 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.328 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.328 * [taylor]: Taking taylor expansion of re in re 2.328 * [backup-simplify]: Simplify 0 into 0 2.328 * [backup-simplify]: Simplify 1 into 1 2.328 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.328 * [taylor]: Taking taylor expansion of im in re 2.328 * [backup-simplify]: Simplify im into im 2.328 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.329 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.329 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.329 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.329 * [backup-simplify]: Simplify (+ 0 0) into 0 2.329 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.330 * [taylor]: Taking taylor expansion of im in im 2.330 * [backup-simplify]: Simplify 0 into 0 2.330 * [backup-simplify]: Simplify 1 into 1 2.330 * [backup-simplify]: Simplify 0 into 0 2.330 * [taylor]: Taking taylor expansion of 0 in im 2.330 * [backup-simplify]: Simplify 0 into 0 2.330 * [backup-simplify]: Simplify 0 into 0 2.330 * [backup-simplify]: Simplify 1 into 1 2.330 * [backup-simplify]: Simplify (* 1 1) into 1 2.331 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.331 * [backup-simplify]: Simplify (+ 1 0) into 1 2.332 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.332 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.332 * [taylor]: Taking taylor expansion of 1/2 in im 2.332 * [backup-simplify]: Simplify 1/2 into 1/2 2.332 * [taylor]: Taking taylor expansion of im in im 2.332 * [backup-simplify]: Simplify 0 into 0 2.332 * [backup-simplify]: Simplify 1 into 1 2.332 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.333 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.333 * [backup-simplify]: Simplify 0 into 0 2.333 * [backup-simplify]: Simplify 0 into 0 2.333 * [backup-simplify]: Simplify 0 into 0 2.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.335 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.335 * [backup-simplify]: Simplify (+ 0 0) into 0 2.335 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.335 * [taylor]: Taking taylor expansion of 0 in im 2.336 * [backup-simplify]: Simplify 0 into 0 2.336 * [backup-simplify]: Simplify 0 into 0 2.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.337 * [backup-simplify]: Simplify 0 into 0 2.337 * [backup-simplify]: Simplify 0 into 0 2.337 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.337 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.337 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.337 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.337 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.337 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.337 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.337 * [taylor]: Taking taylor expansion of im in im 2.337 * [backup-simplify]: Simplify 0 into 0 2.337 * [backup-simplify]: Simplify 1 into 1 2.338 * [backup-simplify]: Simplify (* 1 1) into 1 2.338 * [backup-simplify]: Simplify (/ 1 1) into 1 2.338 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.338 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.338 * [taylor]: Taking taylor expansion of re in im 2.338 * [backup-simplify]: Simplify re into re 2.338 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.338 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.339 * [backup-simplify]: Simplify (+ 1 0) into 1 2.339 * [backup-simplify]: Simplify (sqrt 1) into 1 2.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.341 * [backup-simplify]: Simplify (+ 0 0) into 0 2.342 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.342 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.342 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.342 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.342 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.342 * [taylor]: Taking taylor expansion of im in re 2.342 * [backup-simplify]: Simplify im into im 2.342 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.342 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.342 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.342 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.342 * [taylor]: Taking taylor expansion of re in re 2.342 * [backup-simplify]: Simplify 0 into 0 2.342 * [backup-simplify]: Simplify 1 into 1 2.343 * [backup-simplify]: Simplify (* 1 1) into 1 2.343 * [backup-simplify]: Simplify (/ 1 1) into 1 2.343 * [backup-simplify]: Simplify (+ 0 1) into 1 2.344 * [backup-simplify]: Simplify (sqrt 1) into 1 2.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.345 * [backup-simplify]: Simplify (+ 0 0) into 0 2.345 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.345 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.345 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.345 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.345 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.345 * [taylor]: Taking taylor expansion of im in re 2.345 * [backup-simplify]: Simplify im into im 2.345 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.345 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.345 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.345 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.345 * [taylor]: Taking taylor expansion of re in re 2.345 * [backup-simplify]: Simplify 0 into 0 2.345 * [backup-simplify]: Simplify 1 into 1 2.346 * [backup-simplify]: Simplify (* 1 1) into 1 2.346 * [backup-simplify]: Simplify (/ 1 1) into 1 2.346 * [backup-simplify]: Simplify (+ 0 1) into 1 2.346 * [backup-simplify]: Simplify (sqrt 1) into 1 2.347 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.347 * [backup-simplify]: Simplify (+ 0 0) into 0 2.348 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.348 * [taylor]: Taking taylor expansion of 1 in im 2.348 * [backup-simplify]: Simplify 1 into 1 2.348 * [taylor]: Taking taylor expansion of 0 in im 2.348 * [backup-simplify]: Simplify 0 into 0 2.348 * [backup-simplify]: Simplify 1 into 1 2.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.349 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.350 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.350 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.350 * [taylor]: Taking taylor expansion of 1/2 in im 2.350 * [backup-simplify]: Simplify 1/2 into 1/2 2.350 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.350 * [taylor]: Taking taylor expansion of im in im 2.350 * [backup-simplify]: Simplify 0 into 0 2.350 * [backup-simplify]: Simplify 1 into 1 2.350 * [backup-simplify]: Simplify (* 1 1) into 1 2.350 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.351 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.351 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.351 * [backup-simplify]: Simplify 0 into 0 2.351 * [backup-simplify]: Simplify 0 into 0 2.351 * [backup-simplify]: Simplify 0 into 0 2.351 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.352 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.353 * [backup-simplify]: Simplify (+ 0 0) into 0 2.353 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.353 * [taylor]: Taking taylor expansion of 0 in im 2.353 * [backup-simplify]: Simplify 0 into 0 2.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.354 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.354 * [backup-simplify]: Simplify 0 into 0 2.354 * [backup-simplify]: Simplify 0 into 0 2.354 * [backup-simplify]: Simplify 0 into 0 2.355 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.355 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.355 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.355 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.355 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.355 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.355 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.355 * [taylor]: Taking taylor expansion of im in im 2.355 * [backup-simplify]: Simplify 0 into 0 2.355 * [backup-simplify]: Simplify 1 into 1 2.355 * [backup-simplify]: Simplify (* 1 1) into 1 2.355 * [backup-simplify]: Simplify (/ 1 1) into 1 2.355 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.355 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.355 * [taylor]: Taking taylor expansion of re in im 2.355 * [backup-simplify]: Simplify re into re 2.356 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.356 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.356 * [backup-simplify]: Simplify (+ 1 0) into 1 2.356 * [backup-simplify]: Simplify (sqrt 1) into 1 2.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.357 * [backup-simplify]: Simplify (+ 0 0) into 0 2.358 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.358 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.358 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.358 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.358 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.358 * [taylor]: Taking taylor expansion of im in re 2.358 * [backup-simplify]: Simplify im into im 2.358 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.358 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.358 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.358 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.358 * [taylor]: Taking taylor expansion of re in re 2.358 * [backup-simplify]: Simplify 0 into 0 2.358 * [backup-simplify]: Simplify 1 into 1 2.358 * [backup-simplify]: Simplify (* 1 1) into 1 2.358 * [backup-simplify]: Simplify (/ 1 1) into 1 2.359 * [backup-simplify]: Simplify (+ 0 1) into 1 2.359 * [backup-simplify]: Simplify (sqrt 1) into 1 2.359 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.360 * [backup-simplify]: Simplify (+ 0 0) into 0 2.360 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.360 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.360 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.360 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.360 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.360 * [taylor]: Taking taylor expansion of im in re 2.360 * [backup-simplify]: Simplify im into im 2.360 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.361 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.361 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.361 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.361 * [taylor]: Taking taylor expansion of re in re 2.361 * [backup-simplify]: Simplify 0 into 0 2.361 * [backup-simplify]: Simplify 1 into 1 2.361 * [backup-simplify]: Simplify (* 1 1) into 1 2.361 * [backup-simplify]: Simplify (/ 1 1) into 1 2.361 * [backup-simplify]: Simplify (+ 0 1) into 1 2.362 * [backup-simplify]: Simplify (sqrt 1) into 1 2.362 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.363 * [backup-simplify]: Simplify (+ 0 0) into 0 2.363 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.363 * [taylor]: Taking taylor expansion of 1 in im 2.363 * [backup-simplify]: Simplify 1 into 1 2.363 * [taylor]: Taking taylor expansion of 0 in im 2.363 * [backup-simplify]: Simplify 0 into 0 2.363 * [backup-simplify]: Simplify 1 into 1 2.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.364 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.365 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.365 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.365 * [taylor]: Taking taylor expansion of 1/2 in im 2.365 * [backup-simplify]: Simplify 1/2 into 1/2 2.365 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.365 * [taylor]: Taking taylor expansion of im in im 2.365 * [backup-simplify]: Simplify 0 into 0 2.365 * [backup-simplify]: Simplify 1 into 1 2.366 * [backup-simplify]: Simplify (* 1 1) into 1 2.366 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.367 * [backup-simplify]: Simplify 0 into 0 2.367 * [backup-simplify]: Simplify 0 into 0 2.367 * [backup-simplify]: Simplify 0 into 0 2.367 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.367 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.368 * [backup-simplify]: Simplify (+ 0 0) into 0 2.369 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.369 * [taylor]: Taking taylor expansion of 0 in im 2.369 * [backup-simplify]: Simplify 0 into 0 2.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.370 * [backup-simplify]: Simplify 0 into 0 2.370 * [backup-simplify]: Simplify 0 into 0 2.370 * [backup-simplify]: Simplify 0 into 0 2.370 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.370 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 2.370 * [backup-simplify]: Simplify (/ (pow im 2) (+ re (sqrt (+ (* re re) (* im im))))) into (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) 2.370 * [approximate]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in (im re) around 0 2.370 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 2.370 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.370 * [taylor]: Taking taylor expansion of im in re 2.370 * [backup-simplify]: Simplify im into im 2.370 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 2.370 * [taylor]: Taking taylor expansion of re in re 2.370 * [backup-simplify]: Simplify 0 into 0 2.371 * [backup-simplify]: Simplify 1 into 1 2.371 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.371 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.371 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.371 * [taylor]: Taking taylor expansion of re in re 2.371 * [backup-simplify]: Simplify 0 into 0 2.371 * [backup-simplify]: Simplify 1 into 1 2.371 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.371 * [taylor]: Taking taylor expansion of im in re 2.371 * [backup-simplify]: Simplify im into im 2.371 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.371 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.371 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.371 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.371 * [backup-simplify]: Simplify (+ 0 0) into 0 2.371 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.371 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.372 * [backup-simplify]: Simplify (+ 0 im) into im 2.372 * [backup-simplify]: Simplify (/ (pow im 2) im) into im 2.372 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 2.372 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.372 * [taylor]: Taking taylor expansion of im in im 2.372 * [backup-simplify]: Simplify 0 into 0 2.372 * [backup-simplify]: Simplify 1 into 1 2.372 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 2.372 * [taylor]: Taking taylor expansion of re in im 2.372 * [backup-simplify]: Simplify re into re 2.372 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.372 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.372 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.372 * [taylor]: Taking taylor expansion of re in im 2.372 * [backup-simplify]: Simplify re into re 2.372 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.372 * [taylor]: Taking taylor expansion of im in im 2.372 * [backup-simplify]: Simplify 0 into 0 2.372 * [backup-simplify]: Simplify 1 into 1 2.372 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.372 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.373 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.373 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.373 * [backup-simplify]: Simplify (+ 0 0) into 0 2.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.374 * [backup-simplify]: Simplify (* 1 1) into 1 2.374 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 2.374 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 2.374 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 2.374 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.374 * [taylor]: Taking taylor expansion of im in im 2.374 * [backup-simplify]: Simplify 0 into 0 2.374 * [backup-simplify]: Simplify 1 into 1 2.374 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 2.374 * [taylor]: Taking taylor expansion of re in im 2.374 * [backup-simplify]: Simplify re into re 2.374 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.374 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.374 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.374 * [taylor]: Taking taylor expansion of re in im 2.374 * [backup-simplify]: Simplify re into re 2.374 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.374 * [taylor]: Taking taylor expansion of im in im 2.374 * [backup-simplify]: Simplify 0 into 0 2.374 * [backup-simplify]: Simplify 1 into 1 2.374 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.374 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.375 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.375 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.375 * [backup-simplify]: Simplify (+ 0 0) into 0 2.375 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.376 * [backup-simplify]: Simplify (* 1 1) into 1 2.376 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 2.376 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 2.376 * [taylor]: Taking taylor expansion of (/ 1/2 re) in re 2.376 * [taylor]: Taking taylor expansion of 1/2 in re 2.376 * [backup-simplify]: Simplify 1/2 into 1/2 2.376 * [taylor]: Taking taylor expansion of re in re 2.376 * [backup-simplify]: Simplify 0 into 0 2.376 * [backup-simplify]: Simplify 1 into 1 2.377 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.378 * [backup-simplify]: Simplify 0 into 0 2.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.379 * [backup-simplify]: Simplify (+ 0 0) into 0 2.379 * [backup-simplify]: Simplify (- (/ 0 (* 2 re)) (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 2.379 * [taylor]: Taking taylor expansion of 0 in re 2.379 * [backup-simplify]: Simplify 0 into 0 2.379 * [backup-simplify]: Simplify 0 into 0 2.380 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.380 * [backup-simplify]: Simplify 0 into 0 2.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.381 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 2.382 * [backup-simplify]: Simplify (* 1 1) into 1 2.382 * [backup-simplify]: Simplify (+ 0 1) into 1 2.383 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 2.383 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re)) 2.383 * [backup-simplify]: Simplify (- (/ 0 (* 2 re)) (+ (* (/ 1/2 re) (/ (* 1/2 (/ 1 re)) (* 2 re))) (* 0 (/ 0 (* 2 re))))) into (- (* 1/8 (/ 1 (pow re 3)))) 2.383 * [taylor]: Taking taylor expansion of (- (* 1/8 (/ 1 (pow re 3)))) in re 2.384 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow re 3))) in re 2.384 * [taylor]: Taking taylor expansion of 1/8 in re 2.384 * [backup-simplify]: Simplify 1/8 into 1/8 2.384 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re 2.384 * [taylor]: Taking taylor expansion of (pow re 3) in re 2.384 * [taylor]: Taking taylor expansion of re in re 2.384 * [backup-simplify]: Simplify 0 into 0 2.384 * [backup-simplify]: Simplify 1 into 1 2.384 * [backup-simplify]: Simplify (* 1 1) into 1 2.385 * [backup-simplify]: Simplify (* 1 1) into 1 2.385 * [backup-simplify]: Simplify (/ 1 1) into 1 2.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.387 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.389 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.394 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.394 * [backup-simplify]: Simplify (- 0) into 0 2.394 * [backup-simplify]: Simplify 0 into 0 2.394 * [backup-simplify]: Simplify 0 into 0 2.395 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.395 * [backup-simplify]: Simplify 0 into 0 2.395 * [backup-simplify]: Simplify 0 into 0 2.396 * [backup-simplify]: Simplify (/ (pow (/ 1 im) 2) (+ (/ 1 re) (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) 2.396 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in (im re) around 0 2.396 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in re 2.396 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in re 2.396 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.396 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.396 * [taylor]: Taking taylor expansion of re in re 2.396 * [backup-simplify]: Simplify 0 into 0 2.396 * [backup-simplify]: Simplify 1 into 1 2.396 * [backup-simplify]: Simplify (/ 1 1) into 1 2.396 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.396 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.396 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.396 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.396 * [taylor]: Taking taylor expansion of im in re 2.396 * [backup-simplify]: Simplify im into im 2.397 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.397 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.397 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.397 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.397 * [taylor]: Taking taylor expansion of re in re 2.397 * [backup-simplify]: Simplify 0 into 0 2.397 * [backup-simplify]: Simplify 1 into 1 2.397 * [backup-simplify]: Simplify (* 1 1) into 1 2.398 * [backup-simplify]: Simplify (/ 1 1) into 1 2.398 * [backup-simplify]: Simplify (+ 0 1) into 1 2.398 * [backup-simplify]: Simplify (sqrt 1) into 1 2.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.400 * [backup-simplify]: Simplify (+ 0 0) into 0 2.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.401 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.401 * [taylor]: Taking taylor expansion of im in re 2.401 * [backup-simplify]: Simplify im into im 2.401 * [backup-simplify]: Simplify (+ 1 1) into 2 2.401 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.401 * [backup-simplify]: Simplify (* 2 (pow im 2)) into (* 2 (pow im 2)) 2.401 * [backup-simplify]: Simplify (/ 1 (* 2 (pow im 2))) into (/ 1/2 (pow im 2)) 2.401 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in im 2.401 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in im 2.401 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.401 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.402 * [taylor]: Taking taylor expansion of re in im 2.402 * [backup-simplify]: Simplify re into re 2.402 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.402 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.402 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.402 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.402 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.402 * [taylor]: Taking taylor expansion of im in im 2.402 * [backup-simplify]: Simplify 0 into 0 2.402 * [backup-simplify]: Simplify 1 into 1 2.402 * [backup-simplify]: Simplify (* 1 1) into 1 2.403 * [backup-simplify]: Simplify (/ 1 1) into 1 2.403 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.403 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.403 * [taylor]: Taking taylor expansion of re in im 2.403 * [backup-simplify]: Simplify re into re 2.403 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.403 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.403 * [backup-simplify]: Simplify (+ 1 0) into 1 2.404 * [backup-simplify]: Simplify (sqrt 1) into 1 2.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.406 * [backup-simplify]: Simplify (+ 0 0) into 0 2.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.406 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.406 * [taylor]: Taking taylor expansion of im in im 2.406 * [backup-simplify]: Simplify 0 into 0 2.406 * [backup-simplify]: Simplify 1 into 1 2.407 * [backup-simplify]: Simplify (+ 0 1) into 1 2.407 * [backup-simplify]: Simplify (* 1 1) into 1 2.407 * [backup-simplify]: Simplify (* 1 1) into 1 2.408 * [backup-simplify]: Simplify (/ 1 1) into 1 2.408 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in im 2.408 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in im 2.408 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.408 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.408 * [taylor]: Taking taylor expansion of re in im 2.408 * [backup-simplify]: Simplify re into re 2.408 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.408 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.408 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.408 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.408 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.408 * [taylor]: Taking taylor expansion of im in im 2.408 * [backup-simplify]: Simplify 0 into 0 2.408 * [backup-simplify]: Simplify 1 into 1 2.408 * [backup-simplify]: Simplify (* 1 1) into 1 2.408 * [backup-simplify]: Simplify (/ 1 1) into 1 2.408 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.408 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.408 * [taylor]: Taking taylor expansion of re in im 2.408 * [backup-simplify]: Simplify re into re 2.408 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.409 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.409 * [backup-simplify]: Simplify (+ 1 0) into 1 2.409 * [backup-simplify]: Simplify (sqrt 1) into 1 2.409 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.410 * [backup-simplify]: Simplify (+ 0 0) into 0 2.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.411 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.411 * [taylor]: Taking taylor expansion of im in im 2.411 * [backup-simplify]: Simplify 0 into 0 2.411 * [backup-simplify]: Simplify 1 into 1 2.411 * [backup-simplify]: Simplify (+ 0 1) into 1 2.411 * [backup-simplify]: Simplify (* 1 1) into 1 2.411 * [backup-simplify]: Simplify (* 1 1) into 1 2.412 * [backup-simplify]: Simplify (/ 1 1) into 1 2.412 * [taylor]: Taking taylor expansion of 1 in re 2.412 * [backup-simplify]: Simplify 1 into 1 2.412 * [backup-simplify]: Simplify 0 into 0 2.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.412 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 2.412 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 re) 1)) into (/ 1 re) 2.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 2.413 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 2.413 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.413 * [taylor]: Taking taylor expansion of re in re 2.413 * [backup-simplify]: Simplify 0 into 0 2.413 * [backup-simplify]: Simplify 1 into 1 2.413 * [backup-simplify]: Simplify (/ 1 1) into 1 2.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.414 * [backup-simplify]: Simplify (- 0) into 0 2.414 * [backup-simplify]: Simplify 0 into 0 2.414 * [backup-simplify]: Simplify 0 into 0 2.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.415 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 2.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.416 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 2.417 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 2.417 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 2.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 re) 0) (* (* 1/2 (/ 1 (pow re 2))) 1))) into (* 1/2 (/ 1 (pow re 2))) 2.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 2.417 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 2.417 * [taylor]: Taking taylor expansion of 1/2 in re 2.417 * [backup-simplify]: Simplify 1/2 into 1/2 2.417 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.417 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.417 * [taylor]: Taking taylor expansion of re in re 2.418 * [backup-simplify]: Simplify 0 into 0 2.418 * [backup-simplify]: Simplify 1 into 1 2.418 * [backup-simplify]: Simplify (* 1 1) into 1 2.418 * [backup-simplify]: Simplify (/ 1 1) into 1 2.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.421 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.421 * [backup-simplify]: Simplify 0 into 0 2.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.422 * [backup-simplify]: Simplify (- 0) into 0 2.422 * [backup-simplify]: Simplify 0 into 0 2.422 * [backup-simplify]: Simplify 0 into 0 2.422 * [backup-simplify]: Simplify 0 into 0 2.423 * [backup-simplify]: Simplify (/ (pow (/ 1 (- im)) 2) (+ (/ 1 (- re)) (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) 2.423 * [approximate]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in (im re) around 0 2.423 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in re 2.423 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in re 2.423 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 2.423 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.423 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.423 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.423 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.423 * [taylor]: Taking taylor expansion of im in re 2.423 * [backup-simplify]: Simplify im into im 2.423 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.423 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.423 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.423 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.423 * [taylor]: Taking taylor expansion of re in re 2.423 * [backup-simplify]: Simplify 0 into 0 2.423 * [backup-simplify]: Simplify 1 into 1 2.423 * [backup-simplify]: Simplify (* 1 1) into 1 2.424 * [backup-simplify]: Simplify (/ 1 1) into 1 2.424 * [backup-simplify]: Simplify (+ 0 1) into 1 2.424 * [backup-simplify]: Simplify (sqrt 1) into 1 2.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.430 * [backup-simplify]: Simplify (+ 0 0) into 0 2.430 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.430 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.430 * [taylor]: Taking taylor expansion of re in re 2.430 * [backup-simplify]: Simplify 0 into 0 2.430 * [backup-simplify]: Simplify 1 into 1 2.431 * [backup-simplify]: Simplify (/ 1 1) into 1 2.431 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.431 * [taylor]: Taking taylor expansion of im in re 2.431 * [backup-simplify]: Simplify im into im 2.431 * [backup-simplify]: Simplify (- 1) into -1 2.431 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.431 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.431 * [backup-simplify]: Simplify (* 0 (pow im 2)) into 0 2.431 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.432 * [backup-simplify]: Simplify (- 0) into 0 2.432 * [backup-simplify]: Simplify (+ 0 0) into 0 2.433 * [backup-simplify]: Simplify (+ (* 0 0) (* 0 (pow im 2))) into 0 2.433 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.434 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.435 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.436 * [backup-simplify]: Simplify (- 0) into 0 2.436 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 2.437 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 0 0) (* (* 1/2 (/ 1 (pow im 2))) (pow im 2)))) into 1/2 2.437 * [backup-simplify]: Simplify (/ 1 1/2) into 2 2.437 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in im 2.438 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in im 2.438 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 2.438 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.438 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.438 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.438 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.438 * [taylor]: Taking taylor expansion of im in im 2.438 * [backup-simplify]: Simplify 0 into 0 2.438 * [backup-simplify]: Simplify 1 into 1 2.438 * [backup-simplify]: Simplify (* 1 1) into 1 2.439 * [backup-simplify]: Simplify (/ 1 1) into 1 2.439 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.439 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.439 * [taylor]: Taking taylor expansion of re in im 2.439 * [backup-simplify]: Simplify re into re 2.439 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.439 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.439 * [backup-simplify]: Simplify (+ 1 0) into 1 2.440 * [backup-simplify]: Simplify (sqrt 1) into 1 2.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.441 * [backup-simplify]: Simplify (+ 0 0) into 0 2.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.442 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.442 * [taylor]: Taking taylor expansion of re in im 2.442 * [backup-simplify]: Simplify re into re 2.442 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.442 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.442 * [taylor]: Taking taylor expansion of im in im 2.442 * [backup-simplify]: Simplify 0 into 0 2.442 * [backup-simplify]: Simplify 1 into 1 2.443 * [backup-simplify]: Simplify (+ 1 0) into 1 2.443 * [backup-simplify]: Simplify (* 1 1) into 1 2.444 * [backup-simplify]: Simplify (* 1 1) into 1 2.444 * [backup-simplify]: Simplify (/ 1 1) into 1 2.444 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in im 2.444 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in im 2.444 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 2.444 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.444 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.444 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.444 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.444 * [taylor]: Taking taylor expansion of im in im 2.444 * [backup-simplify]: Simplify 0 into 0 2.444 * [backup-simplify]: Simplify 1 into 1 2.445 * [backup-simplify]: Simplify (* 1 1) into 1 2.445 * [backup-simplify]: Simplify (/ 1 1) into 1 2.445 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.445 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.445 * [taylor]: Taking taylor expansion of re in im 2.445 * [backup-simplify]: Simplify re into re 2.445 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.445 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.446 * [backup-simplify]: Simplify (+ 1 0) into 1 2.446 * [backup-simplify]: Simplify (sqrt 1) into 1 2.447 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.448 * [backup-simplify]: Simplify (+ 0 0) into 0 2.449 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.449 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.449 * [taylor]: Taking taylor expansion of re in im 2.449 * [backup-simplify]: Simplify re into re 2.449 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.449 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.449 * [taylor]: Taking taylor expansion of im in im 2.449 * [backup-simplify]: Simplify 0 into 0 2.449 * [backup-simplify]: Simplify 1 into 1 2.449 * [backup-simplify]: Simplify (+ 1 0) into 1 2.450 * [backup-simplify]: Simplify (* 1 1) into 1 2.450 * [backup-simplify]: Simplify (* 1 1) into 1 2.450 * [backup-simplify]: Simplify (/ 1 1) into 1 2.450 * [taylor]: Taking taylor expansion of 1 in re 2.450 * [backup-simplify]: Simplify 1 into 1 2.451 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.451 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 2.451 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 2.452 * [backup-simplify]: Simplify (+ (* 1 0) (* (- (/ 1 re)) 1)) into (- (/ 1 re)) 2.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 2.452 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.452 * [taylor]: Taking taylor expansion of re in re 2.452 * [backup-simplify]: Simplify 0 into 0 2.452 * [backup-simplify]: Simplify 1 into 1 2.453 * [backup-simplify]: Simplify (/ 1 1) into 1 2.453 * [backup-simplify]: Simplify 1 into 1 2.453 * [backup-simplify]: Simplify 1 into 1 2.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.456 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 2.457 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 2.457 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 2.457 * [backup-simplify]: Simplify (- 0) into 0 2.458 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 2.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 re)) 0) (* (* 1/2 (/ 1 (pow re 2))) 1))) into (* 1/2 (/ 1 (pow re 2))) 2.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 2.459 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 2.459 * [taylor]: Taking taylor expansion of 1/2 in re 2.459 * [backup-simplify]: Simplify 1/2 into 1/2 2.459 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.459 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.459 * [taylor]: Taking taylor expansion of re in re 2.459 * [backup-simplify]: Simplify 0 into 0 2.459 * [backup-simplify]: Simplify 1 into 1 2.460 * [backup-simplify]: Simplify (* 1 1) into 1 2.460 * [backup-simplify]: Simplify (/ 1 1) into 1 2.461 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.462 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.462 * [backup-simplify]: Simplify 0 into 0 2.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.463 * [backup-simplify]: Simplify 0 into 0 2.463 * [backup-simplify]: Simplify 0 into 0 2.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.465 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.465 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 2.465 * [backup-simplify]: Simplify (+ 0 0) into 0 2.466 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0 2.466 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 2.466 * [backup-simplify]: Simplify (- 0) into 0 2.466 * [backup-simplify]: Simplify (+ 0 0) into 0 2.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 re)) 0) (+ (* (* 1/2 (/ 1 (pow re 2))) 0) (* 0 1)))) into 0 2.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (/ 1 re) (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (* 1/2 (/ 1 (pow re 2))) (/ (- (/ 1 re)) 1)))) into 0 2.467 * [taylor]: Taking taylor expansion of 0 in re 2.467 * [backup-simplify]: Simplify 0 into 0 2.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.469 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.469 * [backup-simplify]: Simplify 0 into 0 2.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.470 * [backup-simplify]: Simplify 0 into 0 2.470 * [backup-simplify]: Simplify 0 into 0 2.470 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 (- im))))) (* 1 (* (/ 1 (/ 1 (- re))) 1))) into (- (+ re im)) 2.470 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 2.470 * [backup-simplify]: Simplify (sqrt (* 2.0 (/ (pow im 2) (+ re (sqrt (+ (* re re) (* im im))))))) into (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) 2.470 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in (im re) around 0 2.470 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in re 2.470 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re 2.470 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.470 * [taylor]: Taking taylor expansion of 2.0 in re 2.470 * [backup-simplify]: Simplify 2.0 into 2.0 2.471 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.471 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.471 * [taylor]: Taking taylor expansion of im in re 2.471 * [backup-simplify]: Simplify im into im 2.471 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 2.471 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 2.471 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 2.471 * [taylor]: Taking taylor expansion of re in re 2.471 * [backup-simplify]: Simplify 0 into 0 2.471 * [backup-simplify]: Simplify 1 into 1 2.471 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.471 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.471 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.471 * [taylor]: Taking taylor expansion of re in re 2.471 * [backup-simplify]: Simplify 0 into 0 2.471 * [backup-simplify]: Simplify 1 into 1 2.471 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.471 * [taylor]: Taking taylor expansion of im in re 2.471 * [backup-simplify]: Simplify im into im 2.471 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.471 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.471 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.472 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.472 * [backup-simplify]: Simplify (+ 0 0) into 0 2.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.472 * [backup-simplify]: Simplify (+ 0 im) into im 2.472 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.472 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im)) 2.472 * [backup-simplify]: Simplify (+ 1 0) into 1 2.472 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 1 im)))) into (- (/ 1 (pow im 2))) 2.473 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2))) (* 2 (sqrt (/ 1 im)))) into (* -1/2 (sqrt (/ 1 (pow im 3)))) 2.473 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 2.473 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 2.473 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.473 * [taylor]: Taking taylor expansion of 2.0 in im 2.473 * [backup-simplify]: Simplify 2.0 into 2.0 2.473 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.473 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.473 * [taylor]: Taking taylor expansion of im in im 2.473 * [backup-simplify]: Simplify 0 into 0 2.473 * [backup-simplify]: Simplify 1 into 1 2.473 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 2.473 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 2.473 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 2.473 * [taylor]: Taking taylor expansion of re in im 2.473 * [backup-simplify]: Simplify re into re 2.473 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.473 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.474 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.474 * [taylor]: Taking taylor expansion of re in im 2.474 * [backup-simplify]: Simplify re into re 2.474 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.474 * [taylor]: Taking taylor expansion of im in im 2.474 * [backup-simplify]: Simplify 0 into 0 2.474 * [backup-simplify]: Simplify 1 into 1 2.474 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.474 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.474 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.474 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.474 * [backup-simplify]: Simplify (+ 0 0) into 0 2.474 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.474 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 2.474 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 2.474 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 2.475 * [backup-simplify]: Simplify (+ 0 0) into 0 2.475 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 2.475 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 2.475 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 2.475 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 2.475 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.475 * [taylor]: Taking taylor expansion of 2.0 in im 2.475 * [backup-simplify]: Simplify 2.0 into 2.0 2.475 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.476 * [taylor]: Taking taylor expansion of im in im 2.476 * [backup-simplify]: Simplify 0 into 0 2.476 * [backup-simplify]: Simplify 1 into 1 2.476 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 2.476 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 2.476 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 2.476 * [taylor]: Taking taylor expansion of re in im 2.476 * [backup-simplify]: Simplify re into re 2.476 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.476 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.476 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.476 * [taylor]: Taking taylor expansion of re in im 2.476 * [backup-simplify]: Simplify re into re 2.476 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.476 * [taylor]: Taking taylor expansion of im in im 2.476 * [backup-simplify]: Simplify 0 into 0 2.476 * [backup-simplify]: Simplify 1 into 1 2.476 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.476 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.476 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.476 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.476 * [backup-simplify]: Simplify (+ 0 0) into 0 2.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.477 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 2.477 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 2.477 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 2.477 * [backup-simplify]: Simplify (+ 0 0) into 0 2.477 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 2.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 2.478 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 2.478 * [backup-simplify]: Simplify (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2))) into 0 2.478 * [taylor]: Taking taylor expansion of 0 in re 2.478 * [backup-simplify]: Simplify 0 into 0 2.478 * [backup-simplify]: Simplify 0 into 0 2.479 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0) 2.480 * [backup-simplify]: Simplify (+ (* 0 0) (* (sqrt 2.0) (* (sqrt (/ 1 re)) (sqrt 1/2)))) into (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re))) 2.480 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re))) in re 2.480 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 1/2)) in re 2.480 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.480 * [taylor]: Taking taylor expansion of 2.0 in re 2.480 * [backup-simplify]: Simplify 2.0 into 2.0 2.480 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.481 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.481 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 2.481 * [taylor]: Taking taylor expansion of 1/2 in re 2.481 * [backup-simplify]: Simplify 1/2 into 1/2 2.481 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 2.482 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 2.482 * [taylor]: Taking taylor expansion of (sqrt (/ 1 re)) in re 2.482 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.482 * [taylor]: Taking taylor expansion of re in re 2.482 * [backup-simplify]: Simplify 0 into 0 2.482 * [backup-simplify]: Simplify 1 into 1 2.482 * [backup-simplify]: Simplify (/ 1 1) into 1 2.482 * [backup-simplify]: Simplify (sqrt 0) into 0 2.483 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.484 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 1/2)) into (* (sqrt 2.0) (sqrt 1/2)) 2.484 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 1/2))) into 0 2.486 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 2.488 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 2.489 * [backup-simplify]: Simplify 0 into 0 2.489 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 2.489 * [backup-simplify]: Simplify (* 1 1) into 1 2.489 * [backup-simplify]: Simplify (+ 0 1) into 1 2.490 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 2.490 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re)) 2.490 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ (* 1/2 (/ 1 re)) (* 2 re))) (* 0 (/ 0 (* 2 re))))) into (- (* 1/8 (/ 1 (pow re 3)))) 2.491 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow re 3)))) (pow 0 2) (+)) (* 2 (* (sqrt (/ 1 re)) (sqrt 1/2)))) into (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2)))) 2.492 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.492 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0 2.494 * [backup-simplify]: Simplify (+ (* 0 (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2))))) (+ (* (sqrt 2.0) 0) (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2))))) into 0 2.494 * [taylor]: Taking taylor expansion of 0 in re 2.494 * [backup-simplify]: Simplify 0 into 0 2.494 * [backup-simplify]: Simplify 0 into 0 2.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.496 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.498 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 2.499 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.500 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 2.504 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 2.508 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 2.508 * [backup-simplify]: Simplify 0 into 0 2.509 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 2.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.510 * [backup-simplify]: Simplify (+ 0 0) into 0 2.510 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 2.510 * [backup-simplify]: Simplify (+ 0 0) into 0 2.511 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))) (* 0 (/ (* 1/2 (/ 1 re)) (* 2 re))) (* (- (* 1/8 (/ 1 (pow re 3)))) (/ 0 (* 2 re))))) into 0 2.513 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2)))))))) (* 2 (* (sqrt (/ 1 re)) (sqrt 1/2)))) into 0 2.514 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.515 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.519 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (sqrt 2.0) (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2))))) (+ (* 0 0) (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2)))))) into (- (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) 2.519 * [taylor]: Taking taylor expansion of (- (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) in re 2.519 * [taylor]: Taking taylor expansion of (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5))))) in re 2.519 * [taylor]: Taking taylor expansion of 1/16 in re 2.519 * [backup-simplify]: Simplify 1/16 into 1/16 2.519 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))) in re 2.519 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 1/2)) in re 2.519 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.519 * [taylor]: Taking taylor expansion of 2.0 in re 2.519 * [backup-simplify]: Simplify 2.0 into 2.0 2.519 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.520 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.520 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 2.520 * [taylor]: Taking taylor expansion of 1/2 in re 2.520 * [backup-simplify]: Simplify 1/2 into 1/2 2.521 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 2.521 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 2.523 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt 1/2)) into (/ (sqrt 2.0) (sqrt 1/2)) 2.523 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 5))) in re 2.523 * [taylor]: Taking taylor expansion of (/ 1 (pow re 5)) in re 2.523 * [taylor]: Taking taylor expansion of (pow re 5) in re 2.523 * [taylor]: Taking taylor expansion of re in re 2.523 * [backup-simplify]: Simplify 0 into 0 2.523 * [backup-simplify]: Simplify 1 into 1 2.523 * [backup-simplify]: Simplify (* 1 1) into 1 2.524 * [backup-simplify]: Simplify (* 1 1) into 1 2.524 * [backup-simplify]: Simplify (* 1 1) into 1 2.525 * [backup-simplify]: Simplify (/ 1 1) into 1 2.525 * [backup-simplify]: Simplify (sqrt 0) into 0 2.526 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.528 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.529 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.535 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.539 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.541 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))))) into 0 2.542 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.543 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 2.545 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0 2.546 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.547 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 2.549 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0 2.561 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 2.565 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 2.569 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 2.570 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (sqrt 1/2)) 0) into 0 2.579 * [backup-simplify]: Simplify (+ (* 1/16 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) (* 0 0)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 2.584 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 2.587 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 2.598 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) (pow (* 1 im) 3)) (+ (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) (* re im)) (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) (* 1 im)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) (* im re)))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) im))) (- (* +nan.0 (/ (* (sqrt 2.0) (pow im 3)) (sqrt 1/2)))))))) 2.599 * [backup-simplify]: Simplify (sqrt (* 2.0 (/ (pow (/ 1 im) 2) (+ (/ 1 re) (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) 2.599 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in (im re) around 0 2.599 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re 2.599 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 2.599 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.599 * [taylor]: Taking taylor expansion of 2.0 in re 2.599 * [backup-simplify]: Simplify 2.0 into 2.0 2.600 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.600 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.600 * [taylor]: Taking taylor expansion of im in re 2.601 * [backup-simplify]: Simplify im into im 2.601 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 2.601 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 2.601 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 2.601 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.601 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.601 * [taylor]: Taking taylor expansion of re in re 2.601 * [backup-simplify]: Simplify 0 into 0 2.601 * [backup-simplify]: Simplify 1 into 1 2.602 * [backup-simplify]: Simplify (/ 1 1) into 1 2.602 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.602 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.602 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.602 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.602 * [taylor]: Taking taylor expansion of im in re 2.602 * [backup-simplify]: Simplify im into im 2.602 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.602 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.602 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.602 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.602 * [taylor]: Taking taylor expansion of re in re 2.602 * [backup-simplify]: Simplify 0 into 0 2.602 * [backup-simplify]: Simplify 1 into 1 2.603 * [backup-simplify]: Simplify (* 1 1) into 1 2.603 * [backup-simplify]: Simplify (/ 1 1) into 1 2.603 * [backup-simplify]: Simplify (+ 0 1) into 1 2.604 * [backup-simplify]: Simplify (sqrt 1) into 1 2.604 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.606 * [backup-simplify]: Simplify (+ 0 0) into 0 2.606 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.607 * [backup-simplify]: Simplify (+ 1 1) into 2 2.607 * [backup-simplify]: Simplify (/ 1 2) into 1/2 2.608 * [backup-simplify]: Simplify (sqrt 0) into 0 2.609 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0 2.609 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 2.609 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.609 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.609 * [taylor]: Taking taylor expansion of 2.0 in im 2.609 * [backup-simplify]: Simplify 2.0 into 2.0 2.610 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.610 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.610 * [taylor]: Taking taylor expansion of im in im 2.610 * [backup-simplify]: Simplify 0 into 0 2.610 * [backup-simplify]: Simplify 1 into 1 2.611 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.611 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 2.611 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 2.611 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.612 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.612 * [taylor]: Taking taylor expansion of re in im 2.612 * [backup-simplify]: Simplify re into re 2.612 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.612 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.612 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.612 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.612 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.612 * [taylor]: Taking taylor expansion of im in im 2.612 * [backup-simplify]: Simplify 0 into 0 2.612 * [backup-simplify]: Simplify 1 into 1 2.612 * [backup-simplify]: Simplify (* 1 1) into 1 2.613 * [backup-simplify]: Simplify (/ 1 1) into 1 2.613 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.613 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.613 * [taylor]: Taking taylor expansion of re in im 2.613 * [backup-simplify]: Simplify re into re 2.613 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.613 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.613 * [backup-simplify]: Simplify (+ 1 0) into 1 2.614 * [backup-simplify]: Simplify (sqrt 1) into 1 2.614 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.616 * [backup-simplify]: Simplify (+ 0 0) into 0 2.616 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.617 * [backup-simplify]: Simplify (+ 0 1) into 1 2.617 * [backup-simplify]: Simplify (/ 1 1) into 1 2.617 * [backup-simplify]: Simplify (sqrt 0) into 0 2.619 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.619 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 2.619 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.619 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.619 * [taylor]: Taking taylor expansion of 2.0 in im 2.619 * [backup-simplify]: Simplify 2.0 into 2.0 2.619 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.620 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.620 * [taylor]: Taking taylor expansion of im in im 2.620 * [backup-simplify]: Simplify 0 into 0 2.620 * [backup-simplify]: Simplify 1 into 1 2.621 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.621 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 2.621 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 2.621 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.621 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.621 * [taylor]: Taking taylor expansion of re in im 2.621 * [backup-simplify]: Simplify re into re 2.621 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.621 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.621 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.621 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.622 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.622 * [taylor]: Taking taylor expansion of im in im 2.622 * [backup-simplify]: Simplify 0 into 0 2.622 * [backup-simplify]: Simplify 1 into 1 2.622 * [backup-simplify]: Simplify (* 1 1) into 1 2.622 * [backup-simplify]: Simplify (/ 1 1) into 1 2.622 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.622 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.623 * [taylor]: Taking taylor expansion of re in im 2.623 * [backup-simplify]: Simplify re into re 2.623 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.623 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.623 * [backup-simplify]: Simplify (+ 1 0) into 1 2.624 * [backup-simplify]: Simplify (sqrt 1) into 1 2.624 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.626 * [backup-simplify]: Simplify (+ 0 0) into 0 2.626 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.627 * [backup-simplify]: Simplify (+ 0 1) into 1 2.627 * [backup-simplify]: Simplify (/ 1 1) into 1 2.628 * [backup-simplify]: Simplify (sqrt 0) into 0 2.629 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.629 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 2.629 * [taylor]: Taking taylor expansion of 0 in re 2.629 * [backup-simplify]: Simplify 0 into 0 2.630 * [backup-simplify]: Simplify 0 into 0 2.631 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.633 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 2.633 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 2.633 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 2.633 * [taylor]: Taking taylor expansion of +nan.0 in re 2.633 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.633 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.633 * [taylor]: Taking taylor expansion of 2.0 in re 2.633 * [backup-simplify]: Simplify 2.0 into 2.0 2.633 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.635 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.636 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 2.637 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.639 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.639 * [backup-simplify]: Simplify 0 into 0 2.639 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 2.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 2.640 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0))) 2.642 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.643 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.644 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 2.644 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 2.644 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 2.644 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 2.644 * [taylor]: Taking taylor expansion of +nan.0 in re 2.644 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.644 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.645 * [taylor]: Taking taylor expansion of 2.0 in re 2.645 * [backup-simplify]: Simplify 2.0 into 2.0 2.645 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.646 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.646 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 2.646 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 2.646 * [taylor]: Taking taylor expansion of +nan.0 in re 2.646 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.646 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 2.646 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.646 * [taylor]: Taking taylor expansion of 2.0 in re 2.646 * [backup-simplify]: Simplify 2.0 into 2.0 2.646 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.647 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.647 * [taylor]: Taking taylor expansion of re in re 2.647 * [backup-simplify]: Simplify 0 into 0 2.647 * [backup-simplify]: Simplify 1 into 1 2.648 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.649 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 2.650 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.651 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 2.651 * [backup-simplify]: Simplify (- 0) into 0 2.652 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 2.655 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.656 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.657 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 2.657 * [backup-simplify]: Simplify (- 0) into 0 2.657 * [backup-simplify]: Simplify 0 into 0 2.658 * [backup-simplify]: Simplify 0 into 0 2.658 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 2.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.660 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 2.661 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 2.661 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 2.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 2.663 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 re) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 2.664 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.665 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.668 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 2.668 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re 2.668 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re 2.668 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 2.668 * [taylor]: Taking taylor expansion of +nan.0 in re 2.668 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.668 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.668 * [taylor]: Taking taylor expansion of 2.0 in re 2.668 * [backup-simplify]: Simplify 2.0 into 2.0 2.668 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.669 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.669 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 2.669 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 2.669 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 2.669 * [taylor]: Taking taylor expansion of +nan.0 in re 2.669 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.669 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 2.669 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.669 * [taylor]: Taking taylor expansion of 2.0 in re 2.669 * [backup-simplify]: Simplify 2.0 into 2.0 2.670 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.671 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.671 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.671 * [taylor]: Taking taylor expansion of re in re 2.671 * [backup-simplify]: Simplify 0 into 0 2.671 * [backup-simplify]: Simplify 1 into 1 2.671 * [backup-simplify]: Simplify (* 1 1) into 1 2.672 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.672 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 2.672 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 2.672 * [taylor]: Taking taylor expansion of +nan.0 in re 2.672 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.673 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 2.673 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.673 * [taylor]: Taking taylor expansion of 2.0 in re 2.673 * [backup-simplify]: Simplify 2.0 into 2.0 2.673 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.674 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.674 * [taylor]: Taking taylor expansion of re in re 2.674 * [backup-simplify]: Simplify 0 into 0 2.674 * [backup-simplify]: Simplify 1 into 1 2.675 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.676 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 2.677 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.678 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.679 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.681 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.682 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 2.683 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.683 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 2.684 * [backup-simplify]: Simplify (- 0) into 0 2.684 * [backup-simplify]: Simplify (+ 0 0) into 0 2.685 * [backup-simplify]: Simplify (- 0) into 0 2.686 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 2.688 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.690 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.695 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 im)) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 im))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (sqrt 2.0))))))) 2.696 * [backup-simplify]: Simplify (sqrt (* 2.0 (/ (pow (/ 1 (- im)) 2) (+ (/ 1 (- re)) (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) 2.696 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in (im re) around 0 2.696 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in re 2.696 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 2.696 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.696 * [taylor]: Taking taylor expansion of 2.0 in re 2.696 * [backup-simplify]: Simplify 2.0 into 2.0 2.697 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.697 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.697 * [taylor]: Taking taylor expansion of im in re 2.697 * [backup-simplify]: Simplify im into im 2.698 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 2.698 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 2.698 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 2.698 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 2.698 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.698 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.698 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.698 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.698 * [taylor]: Taking taylor expansion of im in re 2.698 * [backup-simplify]: Simplify im into im 2.699 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.699 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.699 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.699 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.699 * [taylor]: Taking taylor expansion of re in re 2.699 * [backup-simplify]: Simplify 0 into 0 2.699 * [backup-simplify]: Simplify 1 into 1 2.699 * [backup-simplify]: Simplify (* 1 1) into 1 2.700 * [backup-simplify]: Simplify (/ 1 1) into 1 2.700 * [backup-simplify]: Simplify (+ 0 1) into 1 2.700 * [backup-simplify]: Simplify (sqrt 1) into 1 2.701 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.702 * [backup-simplify]: Simplify (+ 0 0) into 0 2.703 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.703 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.703 * [taylor]: Taking taylor expansion of re in re 2.703 * [backup-simplify]: Simplify 0 into 0 2.703 * [backup-simplify]: Simplify 1 into 1 2.703 * [backup-simplify]: Simplify (/ 1 1) into 1 2.704 * [backup-simplify]: Simplify (- 1) into -1 2.704 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.713 * [backup-simplify]: Simplify (- 0) into 0 2.714 * [backup-simplify]: Simplify (+ 0 0) into 0 2.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.716 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.717 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.718 * [backup-simplify]: Simplify (- 0) into 0 2.719 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 2.719 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2)) 2.719 * [backup-simplify]: Simplify (sqrt 0) into 0 2.720 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2)) 2.720 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 2.720 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.720 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.720 * [taylor]: Taking taylor expansion of 2.0 in im 2.720 * [backup-simplify]: Simplify 2.0 into 2.0 2.721 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.721 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.721 * [taylor]: Taking taylor expansion of im in im 2.721 * [backup-simplify]: Simplify 0 into 0 2.721 * [backup-simplify]: Simplify 1 into 1 2.722 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.722 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 2.722 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 2.722 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 2.722 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.722 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.722 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.723 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.723 * [taylor]: Taking taylor expansion of im in im 2.723 * [backup-simplify]: Simplify 0 into 0 2.723 * [backup-simplify]: Simplify 1 into 1 2.723 * [backup-simplify]: Simplify (* 1 1) into 1 2.723 * [backup-simplify]: Simplify (/ 1 1) into 1 2.723 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.723 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.723 * [taylor]: Taking taylor expansion of re in im 2.723 * [backup-simplify]: Simplify re into re 2.724 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.724 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.724 * [backup-simplify]: Simplify (+ 1 0) into 1 2.725 * [backup-simplify]: Simplify (sqrt 1) into 1 2.725 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.726 * [backup-simplify]: Simplify (+ 0 0) into 0 2.727 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.727 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.727 * [taylor]: Taking taylor expansion of re in im 2.727 * [backup-simplify]: Simplify re into re 2.727 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.728 * [backup-simplify]: Simplify (+ 1 0) into 1 2.728 * [backup-simplify]: Simplify (/ 1 1) into 1 2.728 * [backup-simplify]: Simplify (sqrt 0) into 0 2.730 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.730 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 2.730 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.730 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.730 * [taylor]: Taking taylor expansion of 2.0 in im 2.730 * [backup-simplify]: Simplify 2.0 into 2.0 2.730 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.731 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.731 * [taylor]: Taking taylor expansion of im in im 2.731 * [backup-simplify]: Simplify 0 into 0 2.731 * [backup-simplify]: Simplify 1 into 1 2.732 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.732 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 2.732 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 2.732 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 2.732 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.732 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.732 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.732 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.732 * [taylor]: Taking taylor expansion of im in im 2.732 * [backup-simplify]: Simplify 0 into 0 2.732 * [backup-simplify]: Simplify 1 into 1 2.733 * [backup-simplify]: Simplify (* 1 1) into 1 2.733 * [backup-simplify]: Simplify (/ 1 1) into 1 2.733 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.733 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.733 * [taylor]: Taking taylor expansion of re in im 2.733 * [backup-simplify]: Simplify re into re 2.733 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.734 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.734 * [backup-simplify]: Simplify (+ 1 0) into 1 2.734 * [backup-simplify]: Simplify (sqrt 1) into 1 2.735 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.736 * [backup-simplify]: Simplify (+ 0 0) into 0 2.737 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.737 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.737 * [taylor]: Taking taylor expansion of re in im 2.737 * [backup-simplify]: Simplify re into re 2.737 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.737 * [backup-simplify]: Simplify (+ 1 0) into 1 2.738 * [backup-simplify]: Simplify (/ 1 1) into 1 2.738 * [backup-simplify]: Simplify (sqrt 0) into 0 2.739 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.740 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 2.740 * [taylor]: Taking taylor expansion of 0 in re 2.740 * [backup-simplify]: Simplify 0 into 0 2.741 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.743 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 2.743 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 2.743 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 2.743 * [taylor]: Taking taylor expansion of +nan.0 in re 2.743 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.743 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.743 * [taylor]: Taking taylor expansion of 2.0 in re 2.743 * [backup-simplify]: Simplify 2.0 into 2.0 2.744 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.745 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.745 * [backup-simplify]: Simplify 0 into 0 2.745 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 2.745 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 2.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 2.746 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0)) 2.747 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.750 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 2.750 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 2.750 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 2.750 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 2.750 * [taylor]: Taking taylor expansion of +nan.0 in re 2.750 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.751 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.751 * [taylor]: Taking taylor expansion of 2.0 in re 2.751 * [backup-simplify]: Simplify 2.0 into 2.0 2.751 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.752 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.752 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 2.752 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 2.752 * [taylor]: Taking taylor expansion of +nan.0 in re 2.752 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.752 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 2.752 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.752 * [taylor]: Taking taylor expansion of 2.0 in re 2.752 * [backup-simplify]: Simplify 2.0 into 2.0 2.752 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.753 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.753 * [taylor]: Taking taylor expansion of re in re 2.753 * [backup-simplify]: Simplify 0 into 0 2.753 * [backup-simplify]: Simplify 1 into 1 2.754 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.755 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 2.756 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.759 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.761 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.762 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.763 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 2.765 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.766 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.766 * [backup-simplify]: Simplify 0 into 0 2.767 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.768 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 2.769 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 2.769 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 2.770 * [backup-simplify]: Simplify (- 0) into 0 2.770 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 2.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 2.771 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 re) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 2.772 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.774 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.776 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 2.776 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re 2.776 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re 2.776 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 2.776 * [taylor]: Taking taylor expansion of +nan.0 in re 2.776 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.776 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.776 * [taylor]: Taking taylor expansion of 2.0 in re 2.776 * [backup-simplify]: Simplify 2.0 into 2.0 2.776 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.777 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.777 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 2.777 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 2.777 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 2.777 * [taylor]: Taking taylor expansion of +nan.0 in re 2.777 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.777 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 2.777 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.777 * [taylor]: Taking taylor expansion of 2.0 in re 2.777 * [backup-simplify]: Simplify 2.0 into 2.0 2.778 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.778 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.778 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.778 * [taylor]: Taking taylor expansion of re in re 2.778 * [backup-simplify]: Simplify 0 into 0 2.778 * [backup-simplify]: Simplify 1 into 1 2.779 * [backup-simplify]: Simplify (* 1 1) into 1 2.780 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.780 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 2.780 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 2.780 * [taylor]: Taking taylor expansion of +nan.0 in re 2.780 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.780 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 2.780 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.780 * [taylor]: Taking taylor expansion of 2.0 in re 2.780 * [backup-simplify]: Simplify 2.0 into 2.0 2.780 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.781 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.781 * [taylor]: Taking taylor expansion of re in re 2.781 * [backup-simplify]: Simplify 0 into 0 2.781 * [backup-simplify]: Simplify 1 into 1 2.782 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.783 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.784 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.784 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 2.785 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 2.787 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.789 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.791 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.794 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.796 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.798 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.803 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 (- re))) (pow (/ 1 (- im)) 2))) (+ (- (* +nan.0 (sqrt 2.0))) (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 (- re))) (/ 1 (- im)))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2)))))))) 2.803 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2) 2.804 * [backup-simplify]: Simplify (+ re (sqrt (+ (* re re) (* im im)))) into (+ re (sqrt (+ (pow re 2) (pow im 2)))) 2.804 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 2.804 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 2.804 * [taylor]: Taking taylor expansion of re in im 2.804 * [backup-simplify]: Simplify re into re 2.804 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.804 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.804 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.804 * [taylor]: Taking taylor expansion of re in im 2.804 * [backup-simplify]: Simplify re into re 2.804 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.804 * [taylor]: Taking taylor expansion of im in im 2.804 * [backup-simplify]: Simplify 0 into 0 2.804 * [backup-simplify]: Simplify 1 into 1 2.804 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.804 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.805 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.805 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.805 * [backup-simplify]: Simplify (+ 0 0) into 0 2.805 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.805 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 2.805 * [taylor]: Taking taylor expansion of re in re 2.805 * [backup-simplify]: Simplify 0 into 0 2.805 * [backup-simplify]: Simplify 1 into 1 2.805 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.805 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.805 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.806 * [taylor]: Taking taylor expansion of re in re 2.806 * [backup-simplify]: Simplify 0 into 0 2.806 * [backup-simplify]: Simplify 1 into 1 2.806 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.806 * [taylor]: Taking taylor expansion of im in re 2.806 * [backup-simplify]: Simplify im into im 2.806 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.806 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.806 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.806 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.807 * [backup-simplify]: Simplify (+ 0 0) into 0 2.807 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.807 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 2.807 * [taylor]: Taking taylor expansion of re in re 2.807 * [backup-simplify]: Simplify 0 into 0 2.807 * [backup-simplify]: Simplify 1 into 1 2.807 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.807 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.807 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.807 * [taylor]: Taking taylor expansion of re in re 2.807 * [backup-simplify]: Simplify 0 into 0 2.807 * [backup-simplify]: Simplify 1 into 1 2.807 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.807 * [taylor]: Taking taylor expansion of im in re 2.807 * [backup-simplify]: Simplify im into im 2.807 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.807 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.808 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.808 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.808 * [backup-simplify]: Simplify (+ 0 0) into 0 2.808 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.808 * [backup-simplify]: Simplify (+ 0 im) into im 2.808 * [taylor]: Taking taylor expansion of im in im 2.808 * [backup-simplify]: Simplify 0 into 0 2.808 * [backup-simplify]: Simplify 1 into 1 2.809 * [backup-simplify]: Simplify 0 into 0 2.809 * [backup-simplify]: Simplify (+ 1 0) into 1 2.809 * [taylor]: Taking taylor expansion of 1 in im 2.809 * [backup-simplify]: Simplify 1 into 1 2.809 * [backup-simplify]: Simplify 1 into 1 2.809 * [backup-simplify]: Simplify 1 into 1 2.810 * [backup-simplify]: Simplify (* 1 1) into 1 2.810 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.811 * [backup-simplify]: Simplify (+ 1 0) into 1 2.812 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.812 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 2.812 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.812 * [taylor]: Taking taylor expansion of 1/2 in im 2.812 * [backup-simplify]: Simplify 1/2 into 1/2 2.812 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.812 * [taylor]: Taking taylor expansion of im in im 2.812 * [backup-simplify]: Simplify 0 into 0 2.812 * [backup-simplify]: Simplify 1 into 1 2.812 * [backup-simplify]: Simplify (/ 1 1) into 1 2.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.814 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.814 * [backup-simplify]: Simplify 0 into 0 2.814 * [backup-simplify]: Simplify 0 into 0 2.814 * [backup-simplify]: Simplify 0 into 0 2.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.815 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.816 * [backup-simplify]: Simplify (+ 0 0) into 0 2.816 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.816 * [backup-simplify]: Simplify (+ 0 0) into 0 2.816 * [taylor]: Taking taylor expansion of 0 in im 2.816 * [backup-simplify]: Simplify 0 into 0 2.816 * [backup-simplify]: Simplify 0 into 0 2.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.818 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.818 * [backup-simplify]: Simplify 0 into 0 2.818 * [backup-simplify]: Simplify 0 into 0 2.818 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 2.819 * [backup-simplify]: Simplify (+ (/ 1 re) (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2.819 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 2.819 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.819 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.819 * [taylor]: Taking taylor expansion of re in im 2.819 * [backup-simplify]: Simplify re into re 2.819 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.819 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.819 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.819 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.819 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.819 * [taylor]: Taking taylor expansion of im in im 2.819 * [backup-simplify]: Simplify 0 into 0 2.819 * [backup-simplify]: Simplify 1 into 1 2.819 * [backup-simplify]: Simplify (* 1 1) into 1 2.820 * [backup-simplify]: Simplify (/ 1 1) into 1 2.820 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.820 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.820 * [taylor]: Taking taylor expansion of re in im 2.820 * [backup-simplify]: Simplify re into re 2.820 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.820 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.821 * [backup-simplify]: Simplify (+ 1 0) into 1 2.821 * [backup-simplify]: Simplify (sqrt 1) into 1 2.822 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.823 * [backup-simplify]: Simplify (+ 0 0) into 0 2.824 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.824 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.824 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.824 * [taylor]: Taking taylor expansion of re in re 2.824 * [backup-simplify]: Simplify 0 into 0 2.824 * [backup-simplify]: Simplify 1 into 1 2.824 * [backup-simplify]: Simplify (/ 1 1) into 1 2.824 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.824 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.824 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.824 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.824 * [taylor]: Taking taylor expansion of im in re 2.824 * [backup-simplify]: Simplify im into im 2.825 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.825 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.825 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.825 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.825 * [taylor]: Taking taylor expansion of re in re 2.825 * [backup-simplify]: Simplify 0 into 0 2.825 * [backup-simplify]: Simplify 1 into 1 2.825 * [backup-simplify]: Simplify (* 1 1) into 1 2.826 * [backup-simplify]: Simplify (/ 1 1) into 1 2.826 * [backup-simplify]: Simplify (+ 0 1) into 1 2.827 * [backup-simplify]: Simplify (sqrt 1) into 1 2.827 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.829 * [backup-simplify]: Simplify (+ 0 0) into 0 2.829 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.829 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.829 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.829 * [taylor]: Taking taylor expansion of re in re 2.829 * [backup-simplify]: Simplify 0 into 0 2.829 * [backup-simplify]: Simplify 1 into 1 2.830 * [backup-simplify]: Simplify (/ 1 1) into 1 2.830 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.830 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.830 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.830 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.830 * [taylor]: Taking taylor expansion of im in re 2.830 * [backup-simplify]: Simplify im into im 2.830 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.830 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.830 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.830 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.830 * [taylor]: Taking taylor expansion of re in re 2.830 * [backup-simplify]: Simplify 0 into 0 2.830 * [backup-simplify]: Simplify 1 into 1 2.831 * [backup-simplify]: Simplify (* 1 1) into 1 2.831 * [backup-simplify]: Simplify (/ 1 1) into 1 2.832 * [backup-simplify]: Simplify (+ 0 1) into 1 2.832 * [backup-simplify]: Simplify (sqrt 1) into 1 2.833 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.834 * [backup-simplify]: Simplify (+ 0 0) into 0 2.834 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.835 * [backup-simplify]: Simplify (+ 1 1) into 2 2.835 * [taylor]: Taking taylor expansion of 2 in im 2.835 * [backup-simplify]: Simplify 2 into 2 2.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.836 * [backup-simplify]: Simplify (+ 0 0) into 0 2.836 * [taylor]: Taking taylor expansion of 0 in im 2.836 * [backup-simplify]: Simplify 0 into 0 2.836 * [backup-simplify]: Simplify 2 into 2 2.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.839 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.840 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.840 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 2.840 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.840 * [taylor]: Taking taylor expansion of 1/2 in im 2.840 * [backup-simplify]: Simplify 1/2 into 1/2 2.841 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.841 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.841 * [taylor]: Taking taylor expansion of im in im 2.841 * [backup-simplify]: Simplify 0 into 0 2.841 * [backup-simplify]: Simplify 1 into 1 2.841 * [backup-simplify]: Simplify (* 1 1) into 1 2.841 * [backup-simplify]: Simplify (/ 1 1) into 1 2.842 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.843 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.843 * [backup-simplify]: Simplify 0 into 0 2.844 * [backup-simplify]: Simplify 0 into 0 2.844 * [backup-simplify]: Simplify 0 into 0 2.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.845 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.845 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.847 * [backup-simplify]: Simplify (+ 0 0) into 0 2.848 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.848 * [backup-simplify]: Simplify (+ 0 0) into 0 2.848 * [taylor]: Taking taylor expansion of 0 in im 2.848 * [backup-simplify]: Simplify 0 into 0 2.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.851 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.851 * [backup-simplify]: Simplify 0 into 0 2.851 * [backup-simplify]: Simplify 0 into 0 2.851 * [backup-simplify]: Simplify 0 into 0 2.852 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 2.852 * [backup-simplify]: Simplify (+ (/ 1 (- re)) (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 2.852 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 2.852 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 2.852 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.852 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.852 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.852 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.852 * [taylor]: Taking taylor expansion of im in im 2.852 * [backup-simplify]: Simplify 0 into 0 2.852 * [backup-simplify]: Simplify 1 into 1 2.853 * [backup-simplify]: Simplify (* 1 1) into 1 2.853 * [backup-simplify]: Simplify (/ 1 1) into 1 2.853 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.853 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.853 * [taylor]: Taking taylor expansion of re in im 2.853 * [backup-simplify]: Simplify re into re 2.853 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.854 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.854 * [backup-simplify]: Simplify (+ 1 0) into 1 2.854 * [backup-simplify]: Simplify (sqrt 1) into 1 2.855 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.856 * [backup-simplify]: Simplify (+ 0 0) into 0 2.857 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.857 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.857 * [taylor]: Taking taylor expansion of re in im 2.857 * [backup-simplify]: Simplify re into re 2.857 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.857 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 2.857 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.857 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.857 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.857 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.857 * [taylor]: Taking taylor expansion of im in re 2.857 * [backup-simplify]: Simplify im into im 2.857 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.858 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.858 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.858 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.858 * [taylor]: Taking taylor expansion of re in re 2.858 * [backup-simplify]: Simplify 0 into 0 2.858 * [backup-simplify]: Simplify 1 into 1 2.858 * [backup-simplify]: Simplify (* 1 1) into 1 2.858 * [backup-simplify]: Simplify (/ 1 1) into 1 2.859 * [backup-simplify]: Simplify (+ 0 1) into 1 2.860 * [backup-simplify]: Simplify (sqrt 1) into 1 2.860 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.869 * [backup-simplify]: Simplify (+ 0 0) into 0 2.869 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.869 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.869 * [taylor]: Taking taylor expansion of re in re 2.870 * [backup-simplify]: Simplify 0 into 0 2.870 * [backup-simplify]: Simplify 1 into 1 2.870 * [backup-simplify]: Simplify (/ 1 1) into 1 2.870 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 2.870 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.870 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.870 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.870 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.870 * [taylor]: Taking taylor expansion of im in re 2.870 * [backup-simplify]: Simplify im into im 2.870 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.871 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.871 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.871 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.871 * [taylor]: Taking taylor expansion of re in re 2.871 * [backup-simplify]: Simplify 0 into 0 2.871 * [backup-simplify]: Simplify 1 into 1 2.871 * [backup-simplify]: Simplify (* 1 1) into 1 2.871 * [backup-simplify]: Simplify (/ 1 1) into 1 2.872 * [backup-simplify]: Simplify (+ 0 1) into 1 2.872 * [backup-simplify]: Simplify (sqrt 1) into 1 2.873 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.874 * [backup-simplify]: Simplify (+ 0 0) into 0 2.875 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.875 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.875 * [taylor]: Taking taylor expansion of re in re 2.875 * [backup-simplify]: Simplify 0 into 0 2.875 * [backup-simplify]: Simplify 1 into 1 2.875 * [backup-simplify]: Simplify (/ 1 1) into 1 2.876 * [backup-simplify]: Simplify (- 1) into -1 2.876 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.876 * [taylor]: Taking taylor expansion of 0 in im 2.876 * [backup-simplify]: Simplify 0 into 0 2.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.877 * [backup-simplify]: Simplify (- 0) into 0 2.878 * [backup-simplify]: Simplify (+ 0 0) into 0 2.878 * [taylor]: Taking taylor expansion of 0 in im 2.878 * [backup-simplify]: Simplify 0 into 0 2.878 * [backup-simplify]: Simplify 0 into 0 2.879 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.880 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.880 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.881 * [backup-simplify]: Simplify (- 0) into 0 2.881 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 2.881 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.881 * [taylor]: Taking taylor expansion of 1/2 in im 2.881 * [backup-simplify]: Simplify 1/2 into 1/2 2.881 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.881 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.881 * [taylor]: Taking taylor expansion of im in im 2.881 * [backup-simplify]: Simplify 0 into 0 2.881 * [backup-simplify]: Simplify 1 into 1 2.882 * [backup-simplify]: Simplify (* 1 1) into 1 2.882 * [backup-simplify]: Simplify (/ 1 1) into 1 2.882 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.883 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.883 * [backup-simplify]: Simplify 0 into 0 2.883 * [backup-simplify]: Simplify 0 into 0 2.883 * [backup-simplify]: Simplify 0 into 0 2.883 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.883 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.885 * [backup-simplify]: Simplify (+ 0 0) into 0 2.885 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.886 * [backup-simplify]: Simplify (- 0) into 0 2.886 * [backup-simplify]: Simplify (+ 0 0) into 0 2.886 * [taylor]: Taking taylor expansion of 0 in im 2.886 * [backup-simplify]: Simplify 0 into 0 2.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.888 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.888 * [backup-simplify]: Simplify 0 into 0 2.888 * [backup-simplify]: Simplify 0 into 0 2.888 * [backup-simplify]: Simplify 0 into 0 2.888 * * * [progress]: simplifying candidates 2.889 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* (log im) 2) (log (+ re (sqrt (+ (* re re) (* im im)))))) (- (* (log im) 2) (log (+ re (sqrt (+ (* re re) (* im im)))))) (- (log (pow im 2)) (log (+ re (sqrt (+ (* re re) (* im im)))))) (log (/ (pow im 2) (+ re (sqrt (+ (* re re) (* im im)))))) (exp (/ (pow im 2) (+ re (sqrt (+ (* re re) (* im im)))))) (/ (* (* (pow im 2) (pow im 2)) (pow im 2)) (* (* (+ re (sqrt (+ (* re re) (* im im)))) (+ re (sqrt (+ (* re re) (* im im))))) (+ re (sqrt (+ (* re re) (* im im)))))) (* (cbrt (/ (pow im 2) (+ re (sqrt (+ (* re re) (* im im)))))) (cbrt (/ (pow im 2) (+ re (sqrt (+ (* re re) (* im im))))))) (cbrt (/ (pow im 2) (+ re (sqrt (+ (* re re) (* im im)))))) (* (* (/ (pow im 2) (+ re (sqrt (+ (* re re) (* im im))))) (/ (pow im 2) (+ re (sqrt (+ (* re re) (* im im)))))) (/ (pow im 2) (+ re (sqrt (+ (* re re) (* im im)))))) (sqrt (/ (pow im 2) (+ re (sqrt (+ (* re re) (* im im)))))) (sqrt (/ (pow im 2) (+ re (sqrt (+ (* re re) (* im im)))))) (- (pow im 2)) (- (+ re (sqrt (+ (* re re) (* im im))))) (/ (pow (* (cbrt im) (cbrt im)) 2) (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ (pow (cbrt im) 2) (cbrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ (pow (* (cbrt im) (cbrt im)) 2) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ (pow (cbrt im) 2) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ (pow (* (cbrt im) (cbrt im)) 2) 1) (/ (pow (cbrt im) 2) (+ re (sqrt (+ (* re re) (* im im))))) (/ (pow (* (cbrt im) (cbrt im)) 2) 1) (/ (pow (cbrt im) 2) (+ re (sqrt (+ (* re re) (* im im))))) (/ (pow (sqrt im) 2) (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ (pow (sqrt im) 2) (cbrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ (pow (sqrt im) 2) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ (pow (sqrt im) 2) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ (pow (sqrt im) 2) 1) (/ (pow (sqrt im) 2) (+ re (sqrt (+ (* re re) (* im im))))) (/ (pow (sqrt im) 2) 1) (/ (pow (sqrt im) 2) (+ re (sqrt (+ (* re re) (* im im))))) (/ (pow 1 2) (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ (pow im 2) (cbrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ (pow 1 2) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ (pow im 2) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ (pow 1 2) 1) (/ (pow im 2) (+ re (sqrt (+ (* re re) (* im im))))) (/ (pow 1 2) 1) (/ (pow im 2) (+ re (sqrt (+ (* re re) (* im im))))) (/ im (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ im (cbrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ im 1) (/ im (+ re (sqrt (+ (* re re) (* im im))))) (/ im 1) (/ im (+ re (sqrt (+ (* re re) (* im im))))) (/ (* (cbrt (pow im 2)) (cbrt (pow im 2))) (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ (cbrt (pow im 2)) (cbrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ (* (cbrt (pow im 2)) (cbrt (pow im 2))) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ (cbrt (pow im 2)) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ (* (cbrt (pow im 2)) (cbrt (pow im 2))) 1) (/ (cbrt (pow im 2)) (+ re (sqrt (+ (* re re) (* im im))))) (/ (* (cbrt (pow im 2)) (cbrt (pow im 2))) 1) (/ (cbrt (pow im 2)) (+ re (sqrt (+ (* re re) (* im im))))) (/ (sqrt (pow im 2)) (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ (sqrt (pow im 2)) (cbrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ (sqrt (pow im 2)) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ (sqrt (pow im 2)) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ (sqrt (pow im 2)) 1) (/ (sqrt (pow im 2)) (+ re (sqrt (+ (* re re) (* im im))))) (/ (sqrt (pow im 2)) 1) (/ (sqrt (pow im 2)) (+ re (sqrt (+ (* re re) (* im im))))) (/ 1 (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ (pow im 2) (cbrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ 1 (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ (pow im 2) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ 1 1) (/ (pow im 2) (+ re (sqrt (+ (* re re) (* im im))))) (/ 1 1) (/ (pow im 2) (+ re (sqrt (+ (* re re) (* im im))))) (/ (pow im (/ 2 2)) (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ (pow im (/ 2 2)) (cbrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ (pow im (/ 2 2)) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ (pow im (/ 2 2)) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ (pow im (/ 2 2)) 1) (/ (pow im (/ 2 2)) (+ re (sqrt (+ (* re re) (* im im))))) (/ (pow im (/ 2 2)) 1) (/ (pow im (/ 2 2)) (+ re (sqrt (+ (* re re) (* im im))))) (/ 1 (+ re (sqrt (+ (* re re) (* im im))))) (/ (+ re (sqrt (+ (* re re) (* im im)))) (pow im 2)) (/ (pow im 2) (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ (pow im 2) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ (pow im 2) 1) (/ (pow im 2) 1) (/ (+ re (sqrt (+ (* re re) (* im im)))) (pow (cbrt im) 2)) (/ (+ re (sqrt (+ (* re re) (* im im)))) (pow (sqrt im) 2)) (/ (+ re (sqrt (+ (* re re) (* im im)))) (pow im 2)) (/ (+ re (sqrt (+ (* re re) (* im im)))) im) (/ (+ re (sqrt (+ (* re re) (* im im)))) (cbrt (pow im 2))) (/ (+ re (sqrt (+ (* re re) (* im im)))) (sqrt (pow im 2))) (/ (+ re (sqrt (+ (* re re) (* im im)))) (pow im 2)) (/ (+ re (sqrt (+ (* re re) (* im im)))) (pow im (/ 2 2))) (/ (pow im 2) (+ (pow re 3) (pow (sqrt (+ (* re re) (* im im))) 3))) (/ (pow im 2) (- (* re re) (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))))) (log (sqrt (* 2.0 (/ (pow im 2) (+ re (sqrt (+ (* re re) (* im im)))))))) (exp (sqrt (* 2.0 (/ (pow im 2) (+ re (sqrt (+ (* re re) (* im im)))))))) (* (cbrt (sqrt (* 2.0 (/ (pow im 2) (+ re (sqrt (+ (* re re) (* im im)))))))) (cbrt (sqrt (* 2.0 (/ (pow im 2) (+ re (sqrt (+ (* re re) (* im im))))))))) (cbrt (sqrt (* 2.0 (/ (pow im 2) (+ re (sqrt (+ (* re re) (* im im)))))))) (* (* (sqrt (* 2.0 (/ (pow im 2) (+ re (sqrt (+ (* re re) (* im im))))))) (sqrt (* 2.0 (/ (pow im 2) (+ re (sqrt (+ (* re re) (* im im)))))))) (sqrt (* 2.0 (/ (pow im 2) (+ re (sqrt (+ (* re re) (* im im)))))))) (sqrt 2.0) (sqrt (/ (pow im 2) (+ re (sqrt (+ (* re re) (* im im)))))) (sqrt (* 2.0 (pow im 2))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (/ (pow im 2) (+ re (sqrt (+ (* re re) (* im im)))))))) (sqrt (sqrt (* 2.0 (/ (pow im 2) (+ re (sqrt (+ (* re re) (* im im)))))))) (* (exp re) (exp (sqrt (+ (* re re) (* im im))))) (log (+ re (sqrt (+ (* re re) (* im im))))) (exp (+ re (sqrt (+ (* re re) (* im im))))) (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im)))))) (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (* (* (+ re (sqrt (+ (* re re) (* im im)))) (+ re (sqrt (+ (* re re) (* im im))))) (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (+ (pow re 3) (pow (sqrt (+ (* re re) (* im im))) 3)) (+ (* re re) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re (sqrt (+ (* re re) (* im im)))))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))) (- re (sqrt (+ (* re re) (* im im)))) (+ re (sqrt (+ (* re re) (* im im)))) im re (* -1 re) 0 0 (- (+ re im)) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) (* im re)))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) im))) (- (* +nan.0 (/ (* (sqrt 2.0) (pow im 3)) (sqrt 1/2)))))))) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (sqrt 2.0))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2)))))))) (+ re im) (* 2 re) 0 3.720 * * * [progress]: adding candidates to table 4.097 * * [progress]: iteration 3 / 4 4.097 * * * [progress]: picking best candidate 4.120 * * * * [pick]: Picked # 4.120 * * * [progress]: localizing error 4.138 * * * [progress]: generating rewritten candidates 4.138 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 2 1 2) 4.146 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 2 1 2) 4.154 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 4.346 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 4.664 * * * [progress]: generating series expansions 4.664 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 2 1 2) 4.665 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 4.665 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 4.665 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 4.665 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 4.665 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.665 * [taylor]: Taking taylor expansion of re in im 4.665 * [backup-simplify]: Simplify re into re 4.665 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.665 * [taylor]: Taking taylor expansion of im in im 4.665 * [backup-simplify]: Simplify 0 into 0 4.665 * [backup-simplify]: Simplify 1 into 1 4.665 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.665 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 4.665 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 4.666 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 4.666 * [backup-simplify]: Simplify (+ 0 0) into 0 4.666 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 4.667 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 4.667 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 4.667 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.667 * [taylor]: Taking taylor expansion of re in re 4.667 * [backup-simplify]: Simplify 0 into 0 4.667 * [backup-simplify]: Simplify 1 into 1 4.667 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.667 * [taylor]: Taking taylor expansion of im in re 4.667 * [backup-simplify]: Simplify im into im 4.667 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.667 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.667 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.667 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.668 * [backup-simplify]: Simplify (+ 0 0) into 0 4.668 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.668 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 4.668 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 4.668 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.668 * [taylor]: Taking taylor expansion of re in re 4.668 * [backup-simplify]: Simplify 0 into 0 4.668 * [backup-simplify]: Simplify 1 into 1 4.668 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.668 * [taylor]: Taking taylor expansion of im in re 4.668 * [backup-simplify]: Simplify im into im 4.669 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.669 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.669 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.669 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.669 * [backup-simplify]: Simplify (+ 0 0) into 0 4.669 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.670 * [taylor]: Taking taylor expansion of im in im 4.670 * [backup-simplify]: Simplify 0 into 0 4.670 * [backup-simplify]: Simplify 1 into 1 4.670 * [backup-simplify]: Simplify 0 into 0 4.670 * [taylor]: Taking taylor expansion of 0 in im 4.670 * [backup-simplify]: Simplify 0 into 0 4.670 * [backup-simplify]: Simplify 0 into 0 4.670 * [backup-simplify]: Simplify 1 into 1 4.670 * [backup-simplify]: Simplify (* 1 1) into 1 4.671 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 4.671 * [backup-simplify]: Simplify (+ 1 0) into 1 4.672 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 4.672 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 4.672 * [taylor]: Taking taylor expansion of 1/2 in im 4.672 * [backup-simplify]: Simplify 1/2 into 1/2 4.672 * [taylor]: Taking taylor expansion of im in im 4.672 * [backup-simplify]: Simplify 0 into 0 4.672 * [backup-simplify]: Simplify 1 into 1 4.673 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.674 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.674 * [backup-simplify]: Simplify 0 into 0 4.674 * [backup-simplify]: Simplify 0 into 0 4.674 * [backup-simplify]: Simplify 0 into 0 4.674 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.675 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 4.676 * [backup-simplify]: Simplify (+ 0 0) into 0 4.676 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 4.676 * [taylor]: Taking taylor expansion of 0 in im 4.676 * [backup-simplify]: Simplify 0 into 0 4.676 * [backup-simplify]: Simplify 0 into 0 4.677 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.677 * [backup-simplify]: Simplify 0 into 0 4.677 * [backup-simplify]: Simplify 0 into 0 4.677 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 4.678 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 4.678 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 4.678 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 4.678 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 4.678 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.678 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.678 * [taylor]: Taking taylor expansion of im in im 4.678 * [backup-simplify]: Simplify 0 into 0 4.678 * [backup-simplify]: Simplify 1 into 1 4.678 * [backup-simplify]: Simplify (* 1 1) into 1 4.679 * [backup-simplify]: Simplify (/ 1 1) into 1 4.679 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.679 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.679 * [taylor]: Taking taylor expansion of re in im 4.679 * [backup-simplify]: Simplify re into re 4.679 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.679 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.680 * [backup-simplify]: Simplify (+ 1 0) into 1 4.680 * [backup-simplify]: Simplify (sqrt 1) into 1 4.681 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.682 * [backup-simplify]: Simplify (+ 0 0) into 0 4.682 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.682 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 4.683 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 4.683 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.683 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.683 * [taylor]: Taking taylor expansion of im in re 4.683 * [backup-simplify]: Simplify im into im 4.683 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.683 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.683 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.683 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.683 * [taylor]: Taking taylor expansion of re in re 4.683 * [backup-simplify]: Simplify 0 into 0 4.683 * [backup-simplify]: Simplify 1 into 1 4.684 * [backup-simplify]: Simplify (* 1 1) into 1 4.684 * [backup-simplify]: Simplify (/ 1 1) into 1 4.684 * [backup-simplify]: Simplify (+ 0 1) into 1 4.685 * [backup-simplify]: Simplify (sqrt 1) into 1 4.685 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.687 * [backup-simplify]: Simplify (+ 0 0) into 0 4.688 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.688 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 4.688 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 4.688 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.688 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.688 * [taylor]: Taking taylor expansion of im in re 4.688 * [backup-simplify]: Simplify im into im 4.688 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.688 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.688 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.688 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.688 * [taylor]: Taking taylor expansion of re in re 4.688 * [backup-simplify]: Simplify 0 into 0 4.688 * [backup-simplify]: Simplify 1 into 1 4.689 * [backup-simplify]: Simplify (* 1 1) into 1 4.689 * [backup-simplify]: Simplify (/ 1 1) into 1 4.690 * [backup-simplify]: Simplify (+ 0 1) into 1 4.690 * [backup-simplify]: Simplify (sqrt 1) into 1 4.691 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.692 * [backup-simplify]: Simplify (+ 0 0) into 0 4.692 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.693 * [taylor]: Taking taylor expansion of 1 in im 4.693 * [backup-simplify]: Simplify 1 into 1 4.693 * [taylor]: Taking taylor expansion of 0 in im 4.693 * [backup-simplify]: Simplify 0 into 0 4.693 * [backup-simplify]: Simplify 1 into 1 4.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.695 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 4.696 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.696 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 4.696 * [taylor]: Taking taylor expansion of 1/2 in im 4.696 * [backup-simplify]: Simplify 1/2 into 1/2 4.696 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.696 * [taylor]: Taking taylor expansion of im in im 4.696 * [backup-simplify]: Simplify 0 into 0 4.696 * [backup-simplify]: Simplify 1 into 1 4.697 * [backup-simplify]: Simplify (* 1 1) into 1 4.697 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.698 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.699 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.699 * [backup-simplify]: Simplify 0 into 0 4.699 * [backup-simplify]: Simplify 0 into 0 4.699 * [backup-simplify]: Simplify 0 into 0 4.699 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.699 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 4.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.702 * [backup-simplify]: Simplify (+ 0 0) into 0 4.702 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.702 * [taylor]: Taking taylor expansion of 0 in im 4.703 * [backup-simplify]: Simplify 0 into 0 4.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.704 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.705 * [backup-simplify]: Simplify 0 into 0 4.705 * [backup-simplify]: Simplify 0 into 0 4.705 * [backup-simplify]: Simplify 0 into 0 4.705 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 4.705 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 4.705 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 4.705 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 4.705 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 4.705 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.705 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.705 * [taylor]: Taking taylor expansion of im in im 4.705 * [backup-simplify]: Simplify 0 into 0 4.706 * [backup-simplify]: Simplify 1 into 1 4.706 * [backup-simplify]: Simplify (* 1 1) into 1 4.706 * [backup-simplify]: Simplify (/ 1 1) into 1 4.706 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.707 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.707 * [taylor]: Taking taylor expansion of re in im 4.707 * [backup-simplify]: Simplify re into re 4.707 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.707 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.708 * [backup-simplify]: Simplify (+ 1 0) into 1 4.708 * [backup-simplify]: Simplify (sqrt 1) into 1 4.709 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.710 * [backup-simplify]: Simplify (+ 0 0) into 0 4.710 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.710 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 4.710 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 4.710 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.710 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.711 * [taylor]: Taking taylor expansion of im in re 4.711 * [backup-simplify]: Simplify im into im 4.711 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.711 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.711 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.711 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.711 * [taylor]: Taking taylor expansion of re in re 4.711 * [backup-simplify]: Simplify 0 into 0 4.711 * [backup-simplify]: Simplify 1 into 1 4.711 * [backup-simplify]: Simplify (* 1 1) into 1 4.712 * [backup-simplify]: Simplify (/ 1 1) into 1 4.712 * [backup-simplify]: Simplify (+ 0 1) into 1 4.713 * [backup-simplify]: Simplify (sqrt 1) into 1 4.713 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.714 * [backup-simplify]: Simplify (+ 0 0) into 0 4.715 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.715 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 4.715 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 4.715 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.715 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.715 * [taylor]: Taking taylor expansion of im in re 4.715 * [backup-simplify]: Simplify im into im 4.715 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.715 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.715 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.716 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.716 * [taylor]: Taking taylor expansion of re in re 4.716 * [backup-simplify]: Simplify 0 into 0 4.716 * [backup-simplify]: Simplify 1 into 1 4.716 * [backup-simplify]: Simplify (* 1 1) into 1 4.716 * [backup-simplify]: Simplify (/ 1 1) into 1 4.717 * [backup-simplify]: Simplify (+ 0 1) into 1 4.717 * [backup-simplify]: Simplify (sqrt 1) into 1 4.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.719 * [backup-simplify]: Simplify (+ 0 0) into 0 4.720 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.720 * [taylor]: Taking taylor expansion of 1 in im 4.720 * [backup-simplify]: Simplify 1 into 1 4.720 * [taylor]: Taking taylor expansion of 0 in im 4.720 * [backup-simplify]: Simplify 0 into 0 4.720 * [backup-simplify]: Simplify 1 into 1 4.721 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.722 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 4.723 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.723 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 4.723 * [taylor]: Taking taylor expansion of 1/2 in im 4.723 * [backup-simplify]: Simplify 1/2 into 1/2 4.723 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.723 * [taylor]: Taking taylor expansion of im in im 4.723 * [backup-simplify]: Simplify 0 into 0 4.723 * [backup-simplify]: Simplify 1 into 1 4.724 * [backup-simplify]: Simplify (* 1 1) into 1 4.724 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.725 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.726 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.726 * [backup-simplify]: Simplify 0 into 0 4.726 * [backup-simplify]: Simplify 0 into 0 4.726 * [backup-simplify]: Simplify 0 into 0 4.726 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.726 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 4.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.729 * [backup-simplify]: Simplify (+ 0 0) into 0 4.729 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.729 * [taylor]: Taking taylor expansion of 0 in im 4.729 * [backup-simplify]: Simplify 0 into 0 4.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.731 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.731 * [backup-simplify]: Simplify 0 into 0 4.731 * [backup-simplify]: Simplify 0 into 0 4.732 * [backup-simplify]: Simplify 0 into 0 4.732 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 4.732 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 2 1 2) 4.732 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 4.732 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 4.732 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 4.732 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 4.732 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.732 * [taylor]: Taking taylor expansion of re in im 4.732 * [backup-simplify]: Simplify re into re 4.732 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.732 * [taylor]: Taking taylor expansion of im in im 4.732 * [backup-simplify]: Simplify 0 into 0 4.732 * [backup-simplify]: Simplify 1 into 1 4.732 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.733 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 4.733 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 4.733 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 4.733 * [backup-simplify]: Simplify (+ 0 0) into 0 4.733 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 4.733 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 4.734 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 4.734 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.734 * [taylor]: Taking taylor expansion of re in re 4.734 * [backup-simplify]: Simplify 0 into 0 4.734 * [backup-simplify]: Simplify 1 into 1 4.734 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.734 * [taylor]: Taking taylor expansion of im in re 4.734 * [backup-simplify]: Simplify im into im 4.734 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.734 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.734 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.734 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.735 * [backup-simplify]: Simplify (+ 0 0) into 0 4.735 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.735 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 4.735 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 4.735 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.735 * [taylor]: Taking taylor expansion of re in re 4.735 * [backup-simplify]: Simplify 0 into 0 4.735 * [backup-simplify]: Simplify 1 into 1 4.735 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.735 * [taylor]: Taking taylor expansion of im in re 4.735 * [backup-simplify]: Simplify im into im 4.735 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.735 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.735 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.736 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.736 * [backup-simplify]: Simplify (+ 0 0) into 0 4.736 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.736 * [taylor]: Taking taylor expansion of im in im 4.736 * [backup-simplify]: Simplify 0 into 0 4.736 * [backup-simplify]: Simplify 1 into 1 4.736 * [backup-simplify]: Simplify 0 into 0 4.736 * [taylor]: Taking taylor expansion of 0 in im 4.736 * [backup-simplify]: Simplify 0 into 0 4.737 * [backup-simplify]: Simplify 0 into 0 4.737 * [backup-simplify]: Simplify 1 into 1 4.737 * [backup-simplify]: Simplify (* 1 1) into 1 4.737 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 4.738 * [backup-simplify]: Simplify (+ 1 0) into 1 4.739 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 4.739 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 4.739 * [taylor]: Taking taylor expansion of 1/2 in im 4.739 * [backup-simplify]: Simplify 1/2 into 1/2 4.739 * [taylor]: Taking taylor expansion of im in im 4.739 * [backup-simplify]: Simplify 0 into 0 4.739 * [backup-simplify]: Simplify 1 into 1 4.739 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.740 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.740 * [backup-simplify]: Simplify 0 into 0 4.740 * [backup-simplify]: Simplify 0 into 0 4.740 * [backup-simplify]: Simplify 0 into 0 4.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.742 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 4.742 * [backup-simplify]: Simplify (+ 0 0) into 0 4.742 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 4.742 * [taylor]: Taking taylor expansion of 0 in im 4.742 * [backup-simplify]: Simplify 0 into 0 4.743 * [backup-simplify]: Simplify 0 into 0 4.744 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.744 * [backup-simplify]: Simplify 0 into 0 4.744 * [backup-simplify]: Simplify 0 into 0 4.744 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 4.744 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 4.744 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 4.744 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 4.744 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 4.744 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.744 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.744 * [taylor]: Taking taylor expansion of im in im 4.744 * [backup-simplify]: Simplify 0 into 0 4.744 * [backup-simplify]: Simplify 1 into 1 4.745 * [backup-simplify]: Simplify (* 1 1) into 1 4.745 * [backup-simplify]: Simplify (/ 1 1) into 1 4.745 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.745 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.745 * [taylor]: Taking taylor expansion of re in im 4.745 * [backup-simplify]: Simplify re into re 4.745 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.746 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.746 * [backup-simplify]: Simplify (+ 1 0) into 1 4.746 * [backup-simplify]: Simplify (sqrt 1) into 1 4.747 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.748 * [backup-simplify]: Simplify (+ 0 0) into 0 4.749 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.749 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 4.749 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 4.749 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.749 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.749 * [taylor]: Taking taylor expansion of im in re 4.749 * [backup-simplify]: Simplify im into im 4.749 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.750 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.750 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.750 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.750 * [taylor]: Taking taylor expansion of re in re 4.750 * [backup-simplify]: Simplify 0 into 0 4.750 * [backup-simplify]: Simplify 1 into 1 4.750 * [backup-simplify]: Simplify (* 1 1) into 1 4.751 * [backup-simplify]: Simplify (/ 1 1) into 1 4.751 * [backup-simplify]: Simplify (+ 0 1) into 1 4.751 * [backup-simplify]: Simplify (sqrt 1) into 1 4.752 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.753 * [backup-simplify]: Simplify (+ 0 0) into 0 4.754 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.754 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 4.754 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 4.754 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.754 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.754 * [taylor]: Taking taylor expansion of im in re 4.754 * [backup-simplify]: Simplify im into im 4.754 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.754 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.754 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.754 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.755 * [taylor]: Taking taylor expansion of re in re 4.755 * [backup-simplify]: Simplify 0 into 0 4.755 * [backup-simplify]: Simplify 1 into 1 4.755 * [backup-simplify]: Simplify (* 1 1) into 1 4.755 * [backup-simplify]: Simplify (/ 1 1) into 1 4.756 * [backup-simplify]: Simplify (+ 0 1) into 1 4.756 * [backup-simplify]: Simplify (sqrt 1) into 1 4.757 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.758 * [backup-simplify]: Simplify (+ 0 0) into 0 4.759 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.759 * [taylor]: Taking taylor expansion of 1 in im 4.759 * [backup-simplify]: Simplify 1 into 1 4.759 * [taylor]: Taking taylor expansion of 0 in im 4.759 * [backup-simplify]: Simplify 0 into 0 4.759 * [backup-simplify]: Simplify 1 into 1 4.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.761 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 4.762 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.762 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 4.762 * [taylor]: Taking taylor expansion of 1/2 in im 4.762 * [backup-simplify]: Simplify 1/2 into 1/2 4.762 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.762 * [taylor]: Taking taylor expansion of im in im 4.762 * [backup-simplify]: Simplify 0 into 0 4.763 * [backup-simplify]: Simplify 1 into 1 4.763 * [backup-simplify]: Simplify (* 1 1) into 1 4.763 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.764 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.765 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.765 * [backup-simplify]: Simplify 0 into 0 4.765 * [backup-simplify]: Simplify 0 into 0 4.765 * [backup-simplify]: Simplify 0 into 0 4.765 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.765 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 4.767 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.768 * [backup-simplify]: Simplify (+ 0 0) into 0 4.768 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.769 * [taylor]: Taking taylor expansion of 0 in im 4.769 * [backup-simplify]: Simplify 0 into 0 4.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.771 * [backup-simplify]: Simplify 0 into 0 4.771 * [backup-simplify]: Simplify 0 into 0 4.771 * [backup-simplify]: Simplify 0 into 0 4.771 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 4.771 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 4.771 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 4.771 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 4.771 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 4.771 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.771 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.771 * [taylor]: Taking taylor expansion of im in im 4.771 * [backup-simplify]: Simplify 0 into 0 4.771 * [backup-simplify]: Simplify 1 into 1 4.772 * [backup-simplify]: Simplify (* 1 1) into 1 4.772 * [backup-simplify]: Simplify (/ 1 1) into 1 4.772 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.772 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.772 * [taylor]: Taking taylor expansion of re in im 4.772 * [backup-simplify]: Simplify re into re 4.772 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.773 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.773 * [backup-simplify]: Simplify (+ 1 0) into 1 4.773 * [backup-simplify]: Simplify (sqrt 1) into 1 4.774 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.775 * [backup-simplify]: Simplify (+ 0 0) into 0 4.783 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.783 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 4.783 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 4.783 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.783 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.783 * [taylor]: Taking taylor expansion of im in re 4.783 * [backup-simplify]: Simplify im into im 4.783 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.784 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.784 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.784 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.784 * [taylor]: Taking taylor expansion of re in re 4.784 * [backup-simplify]: Simplify 0 into 0 4.784 * [backup-simplify]: Simplify 1 into 1 4.785 * [backup-simplify]: Simplify (* 1 1) into 1 4.785 * [backup-simplify]: Simplify (/ 1 1) into 1 4.785 * [backup-simplify]: Simplify (+ 0 1) into 1 4.786 * [backup-simplify]: Simplify (sqrt 1) into 1 4.786 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.787 * [backup-simplify]: Simplify (+ 0 0) into 0 4.788 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.788 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 4.788 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 4.788 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.788 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.788 * [taylor]: Taking taylor expansion of im in re 4.788 * [backup-simplify]: Simplify im into im 4.788 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.788 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.788 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.788 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.788 * [taylor]: Taking taylor expansion of re in re 4.788 * [backup-simplify]: Simplify 0 into 0 4.788 * [backup-simplify]: Simplify 1 into 1 4.789 * [backup-simplify]: Simplify (* 1 1) into 1 4.789 * [backup-simplify]: Simplify (/ 1 1) into 1 4.789 * [backup-simplify]: Simplify (+ 0 1) into 1 4.789 * [backup-simplify]: Simplify (sqrt 1) into 1 4.790 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.790 * [backup-simplify]: Simplify (+ 0 0) into 0 4.791 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.791 * [taylor]: Taking taylor expansion of 1 in im 4.791 * [backup-simplify]: Simplify 1 into 1 4.791 * [taylor]: Taking taylor expansion of 0 in im 4.791 * [backup-simplify]: Simplify 0 into 0 4.791 * [backup-simplify]: Simplify 1 into 1 4.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.792 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 4.793 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.793 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 4.793 * [taylor]: Taking taylor expansion of 1/2 in im 4.793 * [backup-simplify]: Simplify 1/2 into 1/2 4.793 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.793 * [taylor]: Taking taylor expansion of im in im 4.793 * [backup-simplify]: Simplify 0 into 0 4.793 * [backup-simplify]: Simplify 1 into 1 4.793 * [backup-simplify]: Simplify (* 1 1) into 1 4.793 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.794 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.794 * [backup-simplify]: Simplify 0 into 0 4.794 * [backup-simplify]: Simplify 0 into 0 4.794 * [backup-simplify]: Simplify 0 into 0 4.794 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.795 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 4.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.796 * [backup-simplify]: Simplify (+ 0 0) into 0 4.796 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.796 * [taylor]: Taking taylor expansion of 0 in im 4.796 * [backup-simplify]: Simplify 0 into 0 4.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.797 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.797 * [backup-simplify]: Simplify 0 into 0 4.797 * [backup-simplify]: Simplify 0 into 0 4.798 * [backup-simplify]: Simplify 0 into 0 4.798 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 4.798 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 4.798 * [backup-simplify]: Simplify (sqrt (* 2.0 (* (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))))) into (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) 4.798 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in (im re) around 0 4.798 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in re 4.798 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re 4.798 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.798 * [taylor]: Taking taylor expansion of 2.0 in re 4.798 * [backup-simplify]: Simplify 2.0 into 2.0 4.799 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.799 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.799 * [taylor]: Taking taylor expansion of im in re 4.799 * [backup-simplify]: Simplify im into im 4.799 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 4.799 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 4.799 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 4.799 * [taylor]: Taking taylor expansion of re in re 4.799 * [backup-simplify]: Simplify 0 into 0 4.799 * [backup-simplify]: Simplify 1 into 1 4.799 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 4.799 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 4.799 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.799 * [taylor]: Taking taylor expansion of re in re 4.799 * [backup-simplify]: Simplify 0 into 0 4.799 * [backup-simplify]: Simplify 1 into 1 4.799 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.799 * [taylor]: Taking taylor expansion of im in re 4.799 * [backup-simplify]: Simplify im into im 4.799 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.800 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.800 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.800 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.800 * [backup-simplify]: Simplify (+ 0 0) into 0 4.800 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.800 * [backup-simplify]: Simplify (+ 0 im) into im 4.800 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.800 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im)) 4.800 * [backup-simplify]: Simplify (+ 1 0) into 1 4.801 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 1 im)))) into (- (/ 1 (pow im 2))) 4.801 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2))) (* 2 (sqrt (/ 1 im)))) into (* -1/2 (sqrt (/ 1 (pow im 3)))) 4.801 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 4.801 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 4.801 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.801 * [taylor]: Taking taylor expansion of 2.0 in im 4.801 * [backup-simplify]: Simplify 2.0 into 2.0 4.801 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.802 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.802 * [taylor]: Taking taylor expansion of im in im 4.802 * [backup-simplify]: Simplify 0 into 0 4.802 * [backup-simplify]: Simplify 1 into 1 4.802 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 4.802 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 4.802 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 4.802 * [taylor]: Taking taylor expansion of re in im 4.802 * [backup-simplify]: Simplify re into re 4.802 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 4.802 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 4.802 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.802 * [taylor]: Taking taylor expansion of re in im 4.802 * [backup-simplify]: Simplify re into re 4.802 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.802 * [taylor]: Taking taylor expansion of im in im 4.802 * [backup-simplify]: Simplify 0 into 0 4.802 * [backup-simplify]: Simplify 1 into 1 4.802 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.802 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 4.802 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 4.802 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 4.802 * [backup-simplify]: Simplify (+ 0 0) into 0 4.802 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 4.803 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 4.803 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 4.803 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 4.803 * [backup-simplify]: Simplify (+ 0 0) into 0 4.803 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 4.803 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 4.803 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 4.803 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 4.803 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.803 * [taylor]: Taking taylor expansion of 2.0 in im 4.803 * [backup-simplify]: Simplify 2.0 into 2.0 4.803 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.804 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.804 * [taylor]: Taking taylor expansion of im in im 4.804 * [backup-simplify]: Simplify 0 into 0 4.804 * [backup-simplify]: Simplify 1 into 1 4.804 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 4.804 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 4.804 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 4.804 * [taylor]: Taking taylor expansion of re in im 4.804 * [backup-simplify]: Simplify re into re 4.804 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 4.804 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 4.804 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.804 * [taylor]: Taking taylor expansion of re in im 4.804 * [backup-simplify]: Simplify re into re 4.804 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.804 * [taylor]: Taking taylor expansion of im in im 4.804 * [backup-simplify]: Simplify 0 into 0 4.804 * [backup-simplify]: Simplify 1 into 1 4.804 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.804 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 4.804 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 4.804 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 4.805 * [backup-simplify]: Simplify (+ 0 0) into 0 4.805 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 4.805 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 4.805 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 4.805 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 4.805 * [backup-simplify]: Simplify (+ 0 0) into 0 4.805 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 4.805 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 4.806 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 4.806 * [backup-simplify]: Simplify (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2))) into 0 4.806 * [taylor]: Taking taylor expansion of 0 in re 4.806 * [backup-simplify]: Simplify 0 into 0 4.806 * [backup-simplify]: Simplify 0 into 0 4.807 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0) 4.808 * [backup-simplify]: Simplify (+ (* 0 0) (* (sqrt 2.0) (* (sqrt (/ 1 re)) (sqrt 1/2)))) into (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re))) 4.808 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re))) in re 4.808 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 1/2)) in re 4.808 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.808 * [taylor]: Taking taylor expansion of 2.0 in re 4.808 * [backup-simplify]: Simplify 2.0 into 2.0 4.808 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.809 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.809 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 4.809 * [taylor]: Taking taylor expansion of 1/2 in re 4.809 * [backup-simplify]: Simplify 1/2 into 1/2 4.809 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.810 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 4.810 * [taylor]: Taking taylor expansion of (sqrt (/ 1 re)) in re 4.810 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.810 * [taylor]: Taking taylor expansion of re in re 4.810 * [backup-simplify]: Simplify 0 into 0 4.810 * [backup-simplify]: Simplify 1 into 1 4.810 * [backup-simplify]: Simplify (/ 1 1) into 1 4.810 * [backup-simplify]: Simplify (sqrt 0) into 0 4.811 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.812 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 1/2)) into (* (sqrt 2.0) (sqrt 1/2)) 4.812 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 1/2))) into 0 4.815 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 4.818 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 4.818 * [backup-simplify]: Simplify 0 into 0 4.818 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 4.818 * [backup-simplify]: Simplify (* 1 1) into 1 4.819 * [backup-simplify]: Simplify (+ 0 1) into 1 4.820 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 4.820 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re)) 4.820 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ (* 1/2 (/ 1 re)) (* 2 re))) (* 0 (/ 0 (* 2 re))))) into (- (* 1/8 (/ 1 (pow re 3)))) 4.821 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow re 3)))) (pow 0 2) (+)) (* 2 (* (sqrt (/ 1 re)) (sqrt 1/2)))) into (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2)))) 4.823 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 4.824 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0 4.826 * [backup-simplify]: Simplify (+ (* 0 (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2))))) (+ (* (sqrt 2.0) 0) (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2))))) into 0 4.826 * [taylor]: Taking taylor expansion of 0 in re 4.826 * [backup-simplify]: Simplify 0 into 0 4.826 * [backup-simplify]: Simplify 0 into 0 4.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.829 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.830 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 4.831 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 4.833 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 4.837 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 4.840 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 4.840 * [backup-simplify]: Simplify 0 into 0 4.840 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 4.841 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.841 * [backup-simplify]: Simplify (+ 0 0) into 0 4.841 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 4.842 * [backup-simplify]: Simplify (+ 0 0) into 0 4.842 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))) (* 0 (/ (* 1/2 (/ 1 re)) (* 2 re))) (* (- (* 1/8 (/ 1 (pow re 3)))) (/ 0 (* 2 re))))) into 0 4.844 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2)))))))) (* 2 (* (sqrt (/ 1 re)) (sqrt 1/2)))) into 0 4.845 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 4.846 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.849 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (sqrt 2.0) (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2))))) (+ (* 0 0) (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2)))))) into (- (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) 4.849 * [taylor]: Taking taylor expansion of (- (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) in re 4.849 * [taylor]: Taking taylor expansion of (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5))))) in re 4.849 * [taylor]: Taking taylor expansion of 1/16 in re 4.849 * [backup-simplify]: Simplify 1/16 into 1/16 4.849 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))) in re 4.849 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 1/2)) in re 4.849 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.849 * [taylor]: Taking taylor expansion of 2.0 in re 4.849 * [backup-simplify]: Simplify 2.0 into 2.0 4.850 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.850 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.850 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 4.850 * [taylor]: Taking taylor expansion of 1/2 in re 4.850 * [backup-simplify]: Simplify 1/2 into 1/2 4.851 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.851 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 4.853 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt 1/2)) into (/ (sqrt 2.0) (sqrt 1/2)) 4.853 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 5))) in re 4.853 * [taylor]: Taking taylor expansion of (/ 1 (pow re 5)) in re 4.853 * [taylor]: Taking taylor expansion of (pow re 5) in re 4.853 * [taylor]: Taking taylor expansion of re in re 4.853 * [backup-simplify]: Simplify 0 into 0 4.853 * [backup-simplify]: Simplify 1 into 1 4.853 * [backup-simplify]: Simplify (* 1 1) into 1 4.853 * [backup-simplify]: Simplify (* 1 1) into 1 4.854 * [backup-simplify]: Simplify (* 1 1) into 1 4.854 * [backup-simplify]: Simplify (/ 1 1) into 1 4.854 * [backup-simplify]: Simplify (sqrt 0) into 0 4.856 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.857 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.858 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.860 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.864 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.866 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.867 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))))) into 0 4.868 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 4.868 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 4.869 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0 4.870 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 4.871 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 4.871 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0 4.874 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 4.877 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 4.879 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 4.880 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (sqrt 1/2)) 0) into 0 4.885 * [backup-simplify]: Simplify (+ (* 1/16 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) (* 0 0)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 4.894 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 4.897 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 4.908 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) (pow (* 1 im) 3)) (+ (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) (* re im)) (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) (* 1 im)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) (* im re)))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) im))) (- (* +nan.0 (/ (* (sqrt 2.0) (pow im 3)) (sqrt 1/2)))))))) 4.909 * [backup-simplify]: Simplify (sqrt (* 2.0 (* (/ (/ 1 im) (sqrt (+ (/ 1 re) (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))))) (/ (/ 1 im) (sqrt (+ (/ 1 re) (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) 4.909 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in (im re) around 0 4.909 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re 4.909 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 4.909 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.909 * [taylor]: Taking taylor expansion of 2.0 in re 4.909 * [backup-simplify]: Simplify 2.0 into 2.0 4.910 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.910 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.910 * [taylor]: Taking taylor expansion of im in re 4.910 * [backup-simplify]: Simplify im into im 4.911 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 4.911 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 4.911 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 4.911 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 4.911 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.911 * [taylor]: Taking taylor expansion of re in re 4.911 * [backup-simplify]: Simplify 0 into 0 4.911 * [backup-simplify]: Simplify 1 into 1 4.911 * [backup-simplify]: Simplify (/ 1 1) into 1 4.911 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 4.911 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 4.912 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.912 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.912 * [taylor]: Taking taylor expansion of im in re 4.912 * [backup-simplify]: Simplify im into im 4.912 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.912 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.912 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.912 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.912 * [taylor]: Taking taylor expansion of re in re 4.912 * [backup-simplify]: Simplify 0 into 0 4.912 * [backup-simplify]: Simplify 1 into 1 4.912 * [backup-simplify]: Simplify (* 1 1) into 1 4.913 * [backup-simplify]: Simplify (/ 1 1) into 1 4.913 * [backup-simplify]: Simplify (+ 0 1) into 1 4.914 * [backup-simplify]: Simplify (sqrt 1) into 1 4.914 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.915 * [backup-simplify]: Simplify (+ 0 0) into 0 4.916 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.916 * [backup-simplify]: Simplify (+ 1 1) into 2 4.917 * [backup-simplify]: Simplify (/ 1 2) into 1/2 4.917 * [backup-simplify]: Simplify (sqrt 0) into 0 4.918 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0 4.919 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 4.919 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 4.919 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.919 * [taylor]: Taking taylor expansion of 2.0 in im 4.919 * [backup-simplify]: Simplify 2.0 into 2.0 4.919 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.920 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.920 * [taylor]: Taking taylor expansion of im in im 4.920 * [backup-simplify]: Simplify 0 into 0 4.920 * [backup-simplify]: Simplify 1 into 1 4.921 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 4.921 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 4.921 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 4.921 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 4.921 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.921 * [taylor]: Taking taylor expansion of re in im 4.921 * [backup-simplify]: Simplify re into re 4.921 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.921 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 4.921 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 4.921 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.921 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.921 * [taylor]: Taking taylor expansion of im in im 4.921 * [backup-simplify]: Simplify 0 into 0 4.921 * [backup-simplify]: Simplify 1 into 1 4.921 * [backup-simplify]: Simplify (* 1 1) into 1 4.922 * [backup-simplify]: Simplify (/ 1 1) into 1 4.922 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.922 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.922 * [taylor]: Taking taylor expansion of re in im 4.922 * [backup-simplify]: Simplify re into re 4.922 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.922 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.923 * [backup-simplify]: Simplify (+ 1 0) into 1 4.923 * [backup-simplify]: Simplify (sqrt 1) into 1 4.924 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.925 * [backup-simplify]: Simplify (+ 0 0) into 0 4.925 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.926 * [backup-simplify]: Simplify (+ 0 1) into 1 4.926 * [backup-simplify]: Simplify (/ 1 1) into 1 4.927 * [backup-simplify]: Simplify (sqrt 0) into 0 4.928 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.928 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 4.928 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 4.928 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.928 * [taylor]: Taking taylor expansion of 2.0 in im 4.928 * [backup-simplify]: Simplify 2.0 into 2.0 4.929 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.929 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.929 * [taylor]: Taking taylor expansion of im in im 4.929 * [backup-simplify]: Simplify 0 into 0 4.929 * [backup-simplify]: Simplify 1 into 1 4.930 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 4.930 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 4.930 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 4.930 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 4.930 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.930 * [taylor]: Taking taylor expansion of re in im 4.930 * [backup-simplify]: Simplify re into re 4.930 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.930 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 4.930 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 4.931 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.931 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.931 * [taylor]: Taking taylor expansion of im in im 4.931 * [backup-simplify]: Simplify 0 into 0 4.931 * [backup-simplify]: Simplify 1 into 1 4.931 * [backup-simplify]: Simplify (* 1 1) into 1 4.931 * [backup-simplify]: Simplify (/ 1 1) into 1 4.931 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.931 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.931 * [taylor]: Taking taylor expansion of re in im 4.931 * [backup-simplify]: Simplify re into re 4.932 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.932 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.932 * [backup-simplify]: Simplify (+ 1 0) into 1 4.933 * [backup-simplify]: Simplify (sqrt 1) into 1 4.933 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.934 * [backup-simplify]: Simplify (+ 0 0) into 0 4.935 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.935 * [backup-simplify]: Simplify (+ 0 1) into 1 4.936 * [backup-simplify]: Simplify (/ 1 1) into 1 4.936 * [backup-simplify]: Simplify (sqrt 0) into 0 4.937 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.938 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 4.938 * [taylor]: Taking taylor expansion of 0 in re 4.938 * [backup-simplify]: Simplify 0 into 0 4.938 * [backup-simplify]: Simplify 0 into 0 4.939 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 4.941 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 4.941 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 4.941 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 4.941 * [taylor]: Taking taylor expansion of +nan.0 in re 4.941 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.941 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.941 * [taylor]: Taking taylor expansion of 2.0 in re 4.941 * [backup-simplify]: Simplify 2.0 into 2.0 4.942 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.942 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.943 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 4.945 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 4.946 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 4.946 * [backup-simplify]: Simplify 0 into 0 4.946 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 4.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 4.948 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0))) 4.949 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 4.951 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.952 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 4.952 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 4.952 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 4.952 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 4.952 * [taylor]: Taking taylor expansion of +nan.0 in re 4.953 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.953 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.953 * [taylor]: Taking taylor expansion of 2.0 in re 4.953 * [backup-simplify]: Simplify 2.0 into 2.0 4.953 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.954 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.954 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 4.954 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 4.954 * [taylor]: Taking taylor expansion of +nan.0 in re 4.954 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.954 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 4.954 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.954 * [taylor]: Taking taylor expansion of 2.0 in re 4.954 * [backup-simplify]: Simplify 2.0 into 2.0 4.954 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.955 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.955 * [taylor]: Taking taylor expansion of re in re 4.955 * [backup-simplify]: Simplify 0 into 0 4.955 * [backup-simplify]: Simplify 1 into 1 4.956 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 4.957 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 4.958 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 4.959 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 4.960 * [backup-simplify]: Simplify (- 0) into 0 4.961 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 4.963 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 4.965 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 4.966 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 4.966 * [backup-simplify]: Simplify (- 0) into 0 4.966 * [backup-simplify]: Simplify 0 into 0 4.966 * [backup-simplify]: Simplify 0 into 0 4.967 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 4.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.969 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 4.970 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 4.970 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 4.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 4.972 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 re) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 4.973 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 4.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.977 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 4.977 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re 4.977 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re 4.977 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 4.977 * [taylor]: Taking taylor expansion of +nan.0 in re 4.977 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.977 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.977 * [taylor]: Taking taylor expansion of 2.0 in re 4.977 * [backup-simplify]: Simplify 2.0 into 2.0 4.978 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.979 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.979 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 4.979 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 4.979 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 4.979 * [taylor]: Taking taylor expansion of +nan.0 in re 4.979 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.979 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 4.979 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.979 * [taylor]: Taking taylor expansion of 2.0 in re 4.979 * [backup-simplify]: Simplify 2.0 into 2.0 4.979 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.980 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.980 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.980 * [taylor]: Taking taylor expansion of re in re 4.980 * [backup-simplify]: Simplify 0 into 0 4.980 * [backup-simplify]: Simplify 1 into 1 4.980 * [backup-simplify]: Simplify (* 1 1) into 1 4.981 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 4.981 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 4.981 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 4.981 * [taylor]: Taking taylor expansion of +nan.0 in re 4.981 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.981 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 4.981 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.982 * [taylor]: Taking taylor expansion of 2.0 in re 4.982 * [backup-simplify]: Simplify 2.0 into 2.0 4.982 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.983 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.983 * [taylor]: Taking taylor expansion of re in re 4.983 * [backup-simplify]: Simplify 0 into 0 4.983 * [backup-simplify]: Simplify 1 into 1 4.984 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 4.985 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 4.986 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 4.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.987 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.988 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 4.989 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.990 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 4.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 4.992 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 4.993 * [backup-simplify]: Simplify (- 0) into 0 4.993 * [backup-simplify]: Simplify (+ 0 0) into 0 4.993 * [backup-simplify]: Simplify (- 0) into 0 4.995 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 4.997 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 4.999 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 5.004 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 im)) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 im))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (sqrt 2.0))))))) 5.005 * [backup-simplify]: Simplify (sqrt (* 2.0 (* (/ (/ 1 (- im)) (sqrt (+ (/ 1 (- re)) (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))))) (/ (/ 1 (- im)) (sqrt (+ (/ 1 (- re)) (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) 5.005 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in (im re) around 0 5.005 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in re 5.005 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 5.005 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.005 * [taylor]: Taking taylor expansion of 2.0 in re 5.005 * [backup-simplify]: Simplify 2.0 into 2.0 5.006 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.006 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.006 * [taylor]: Taking taylor expansion of im in re 5.006 * [backup-simplify]: Simplify im into im 5.007 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 5.007 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 5.007 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 5.007 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 5.007 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.007 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.007 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.007 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.007 * [taylor]: Taking taylor expansion of im in re 5.007 * [backup-simplify]: Simplify im into im 5.007 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.008 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.008 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.008 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.008 * [taylor]: Taking taylor expansion of re in re 5.008 * [backup-simplify]: Simplify 0 into 0 5.008 * [backup-simplify]: Simplify 1 into 1 5.008 * [backup-simplify]: Simplify (* 1 1) into 1 5.008 * [backup-simplify]: Simplify (/ 1 1) into 1 5.009 * [backup-simplify]: Simplify (+ 0 1) into 1 5.009 * [backup-simplify]: Simplify (sqrt 1) into 1 5.010 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.011 * [backup-simplify]: Simplify (+ 0 0) into 0 5.012 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.012 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.012 * [taylor]: Taking taylor expansion of re in re 5.012 * [backup-simplify]: Simplify 0 into 0 5.012 * [backup-simplify]: Simplify 1 into 1 5.012 * [backup-simplify]: Simplify (/ 1 1) into 1 5.013 * [backup-simplify]: Simplify (- 1) into -1 5.013 * [backup-simplify]: Simplify (+ 1 -1) into 0 5.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.014 * [backup-simplify]: Simplify (- 0) into 0 5.014 * [backup-simplify]: Simplify (+ 0 0) into 0 5.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.017 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 5.018 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.019 * [backup-simplify]: Simplify (- 0) into 0 5.019 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 5.020 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2)) 5.020 * [backup-simplify]: Simplify (sqrt 0) into 0 5.021 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2)) 5.021 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 5.021 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 5.021 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.021 * [taylor]: Taking taylor expansion of 2.0 in im 5.021 * [backup-simplify]: Simplify 2.0 into 2.0 5.021 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.022 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.022 * [taylor]: Taking taylor expansion of im in im 5.022 * [backup-simplify]: Simplify 0 into 0 5.022 * [backup-simplify]: Simplify 1 into 1 5.023 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 5.023 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 5.023 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 5.023 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 5.023 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.023 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.023 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.023 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.023 * [taylor]: Taking taylor expansion of im in im 5.023 * [backup-simplify]: Simplify 0 into 0 5.023 * [backup-simplify]: Simplify 1 into 1 5.023 * [backup-simplify]: Simplify (* 1 1) into 1 5.024 * [backup-simplify]: Simplify (/ 1 1) into 1 5.024 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.024 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.024 * [taylor]: Taking taylor expansion of re in im 5.024 * [backup-simplify]: Simplify re into re 5.024 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.024 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.025 * [backup-simplify]: Simplify (+ 1 0) into 1 5.025 * [backup-simplify]: Simplify (sqrt 1) into 1 5.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.027 * [backup-simplify]: Simplify (+ 0 0) into 0 5.027 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.027 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.027 * [taylor]: Taking taylor expansion of re in im 5.028 * [backup-simplify]: Simplify re into re 5.028 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.028 * [backup-simplify]: Simplify (+ 1 0) into 1 5.028 * [backup-simplify]: Simplify (/ 1 1) into 1 5.029 * [backup-simplify]: Simplify (sqrt 0) into 0 5.030 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.030 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 5.030 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 5.030 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.030 * [taylor]: Taking taylor expansion of 2.0 in im 5.030 * [backup-simplify]: Simplify 2.0 into 2.0 5.031 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.032 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.032 * [taylor]: Taking taylor expansion of im in im 5.032 * [backup-simplify]: Simplify 0 into 0 5.032 * [backup-simplify]: Simplify 1 into 1 5.033 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 5.033 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 5.033 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 5.033 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 5.033 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.033 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.033 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.033 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.033 * [taylor]: Taking taylor expansion of im in im 5.033 * [backup-simplify]: Simplify 0 into 0 5.033 * [backup-simplify]: Simplify 1 into 1 5.033 * [backup-simplify]: Simplify (* 1 1) into 1 5.034 * [backup-simplify]: Simplify (/ 1 1) into 1 5.034 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.034 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.034 * [taylor]: Taking taylor expansion of re in im 5.034 * [backup-simplify]: Simplify re into re 5.034 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.034 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.034 * [backup-simplify]: Simplify (+ 1 0) into 1 5.035 * [backup-simplify]: Simplify (sqrt 1) into 1 5.035 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.037 * [backup-simplify]: Simplify (+ 0 0) into 0 5.037 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.037 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.037 * [taylor]: Taking taylor expansion of re in im 5.037 * [backup-simplify]: Simplify re into re 5.037 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.038 * [backup-simplify]: Simplify (+ 1 0) into 1 5.044 * [backup-simplify]: Simplify (/ 1 1) into 1 5.045 * [backup-simplify]: Simplify (sqrt 0) into 0 5.047 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.047 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 5.047 * [taylor]: Taking taylor expansion of 0 in re 5.047 * [backup-simplify]: Simplify 0 into 0 5.048 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 5.050 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 5.051 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 5.051 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 5.051 * [taylor]: Taking taylor expansion of +nan.0 in re 5.051 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.051 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.051 * [taylor]: Taking taylor expansion of 2.0 in re 5.051 * [backup-simplify]: Simplify 2.0 into 2.0 5.051 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.052 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.052 * [backup-simplify]: Simplify 0 into 0 5.052 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 5.052 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 5.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 5.053 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0)) 5.055 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 5.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.057 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 5.057 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 5.057 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 5.057 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 5.057 * [taylor]: Taking taylor expansion of +nan.0 in re 5.057 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.057 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.057 * [taylor]: Taking taylor expansion of 2.0 in re 5.057 * [backup-simplify]: Simplify 2.0 into 2.0 5.058 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.058 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.058 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 5.058 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 5.058 * [taylor]: Taking taylor expansion of +nan.0 in re 5.058 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.058 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 5.058 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.059 * [taylor]: Taking taylor expansion of 2.0 in re 5.059 * [backup-simplify]: Simplify 2.0 into 2.0 5.059 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.060 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.060 * [taylor]: Taking taylor expansion of re in re 5.060 * [backup-simplify]: Simplify 0 into 0 5.060 * [backup-simplify]: Simplify 1 into 1 5.061 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 5.062 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 5.063 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 5.066 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 5.068 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 5.069 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 5.070 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 5.072 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 5.073 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 5.074 * [backup-simplify]: Simplify 0 into 0 5.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.076 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 5.077 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 5.077 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 5.077 * [backup-simplify]: Simplify (- 0) into 0 5.078 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 5.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 5.079 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 re) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 5.080 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.083 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 5.083 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re 5.084 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re 5.084 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 5.084 * [taylor]: Taking taylor expansion of +nan.0 in re 5.084 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.084 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.084 * [taylor]: Taking taylor expansion of 2.0 in re 5.084 * [backup-simplify]: Simplify 2.0 into 2.0 5.084 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.085 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.085 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 5.085 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 5.085 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 5.085 * [taylor]: Taking taylor expansion of +nan.0 in re 5.085 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.085 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 5.085 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.085 * [taylor]: Taking taylor expansion of 2.0 in re 5.085 * [backup-simplify]: Simplify 2.0 into 2.0 5.085 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.086 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.086 * [taylor]: Taking taylor expansion of re in re 5.086 * [backup-simplify]: Simplify 0 into 0 5.086 * [backup-simplify]: Simplify 1 into 1 5.087 * [backup-simplify]: Simplify (* 1 1) into 1 5.088 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 5.088 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 5.088 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 5.088 * [taylor]: Taking taylor expansion of +nan.0 in re 5.088 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.088 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 5.088 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.088 * [taylor]: Taking taylor expansion of 2.0 in re 5.088 * [backup-simplify]: Simplify 2.0 into 2.0 5.088 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.089 * [taylor]: Taking taylor expansion of re in re 5.089 * [backup-simplify]: Simplify 0 into 0 5.089 * [backup-simplify]: Simplify 1 into 1 5.090 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 5.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.092 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 5.093 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 5.094 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 5.095 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 5.098 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 5.100 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 5.103 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 5.105 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 5.107 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 5.112 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 (- re))) (pow (/ 1 (- im)) 2))) (+ (- (* +nan.0 (sqrt 2.0))) (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 (- re))) (/ 1 (- im)))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2)))))))) 5.113 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 5.113 * [backup-simplify]: Simplify (* (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) into (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) 5.113 * [approximate]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in (im re) around 0 5.113 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 5.113 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.113 * [taylor]: Taking taylor expansion of im in re 5.113 * [backup-simplify]: Simplify im into im 5.113 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 5.113 * [taylor]: Taking taylor expansion of re in re 5.113 * [backup-simplify]: Simplify 0 into 0 5.114 * [backup-simplify]: Simplify 1 into 1 5.114 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 5.114 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 5.114 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.114 * [taylor]: Taking taylor expansion of re in re 5.114 * [backup-simplify]: Simplify 0 into 0 5.114 * [backup-simplify]: Simplify 1 into 1 5.114 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.114 * [taylor]: Taking taylor expansion of im in re 5.114 * [backup-simplify]: Simplify im into im 5.114 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.114 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.114 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.114 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.115 * [backup-simplify]: Simplify (+ 0 0) into 0 5.115 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.115 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.115 * [backup-simplify]: Simplify (+ 0 im) into im 5.115 * [backup-simplify]: Simplify (/ (pow im 2) im) into im 5.115 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 5.115 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.115 * [taylor]: Taking taylor expansion of im in im 5.115 * [backup-simplify]: Simplify 0 into 0 5.115 * [backup-simplify]: Simplify 1 into 1 5.115 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 5.115 * [taylor]: Taking taylor expansion of re in im 5.115 * [backup-simplify]: Simplify re into re 5.115 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 5.115 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 5.115 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.115 * [taylor]: Taking taylor expansion of re in im 5.115 * [backup-simplify]: Simplify re into re 5.115 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.115 * [taylor]: Taking taylor expansion of im in im 5.115 * [backup-simplify]: Simplify 0 into 0 5.115 * [backup-simplify]: Simplify 1 into 1 5.116 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.116 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 5.116 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.116 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.116 * [backup-simplify]: Simplify (+ 0 0) into 0 5.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.117 * [backup-simplify]: Simplify (* 1 1) into 1 5.117 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 5.117 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 5.117 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 5.117 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.117 * [taylor]: Taking taylor expansion of im in im 5.117 * [backup-simplify]: Simplify 0 into 0 5.117 * [backup-simplify]: Simplify 1 into 1 5.117 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 5.117 * [taylor]: Taking taylor expansion of re in im 5.117 * [backup-simplify]: Simplify re into re 5.117 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 5.117 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 5.117 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.117 * [taylor]: Taking taylor expansion of re in im 5.117 * [backup-simplify]: Simplify re into re 5.117 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.117 * [taylor]: Taking taylor expansion of im in im 5.117 * [backup-simplify]: Simplify 0 into 0 5.117 * [backup-simplify]: Simplify 1 into 1 5.117 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.118 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 5.118 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.118 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.118 * [backup-simplify]: Simplify (+ 0 0) into 0 5.118 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.119 * [backup-simplify]: Simplify (* 1 1) into 1 5.119 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 5.119 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 5.119 * [taylor]: Taking taylor expansion of (/ 1/2 re) in re 5.119 * [taylor]: Taking taylor expansion of 1/2 in re 5.119 * [backup-simplify]: Simplify 1/2 into 1/2 5.119 * [taylor]: Taking taylor expansion of re in re 5.119 * [backup-simplify]: Simplify 0 into 0 5.119 * [backup-simplify]: Simplify 1 into 1 5.119 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.120 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.120 * [backup-simplify]: Simplify 0 into 0 5.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.121 * [backup-simplify]: Simplify (+ 0 0) into 0 5.121 * [backup-simplify]: Simplify (- (/ 0 (* 2 re)) (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 5.121 * [taylor]: Taking taylor expansion of 0 in re 5.121 * [backup-simplify]: Simplify 0 into 0 5.122 * [backup-simplify]: Simplify 0 into 0 5.122 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.122 * [backup-simplify]: Simplify 0 into 0 5.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.124 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 5.124 * [backup-simplify]: Simplify (* 1 1) into 1 5.124 * [backup-simplify]: Simplify (+ 0 1) into 1 5.125 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 5.125 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re)) 5.126 * [backup-simplify]: Simplify (- (/ 0 (* 2 re)) (+ (* (/ 1/2 re) (/ (* 1/2 (/ 1 re)) (* 2 re))) (* 0 (/ 0 (* 2 re))))) into (- (* 1/8 (/ 1 (pow re 3)))) 5.126 * [taylor]: Taking taylor expansion of (- (* 1/8 (/ 1 (pow re 3)))) in re 5.126 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow re 3))) in re 5.126 * [taylor]: Taking taylor expansion of 1/8 in re 5.126 * [backup-simplify]: Simplify 1/8 into 1/8 5.126 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re 5.126 * [taylor]: Taking taylor expansion of (pow re 3) in re 5.126 * [taylor]: Taking taylor expansion of re in re 5.126 * [backup-simplify]: Simplify 0 into 0 5.126 * [backup-simplify]: Simplify 1 into 1 5.126 * [backup-simplify]: Simplify (* 1 1) into 1 5.127 * [backup-simplify]: Simplify (* 1 1) into 1 5.127 * [backup-simplify]: Simplify (/ 1 1) into 1 5.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.137 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.137 * [backup-simplify]: Simplify (- 0) into 0 5.137 * [backup-simplify]: Simplify 0 into 0 5.137 * [backup-simplify]: Simplify 0 into 0 5.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.138 * [backup-simplify]: Simplify 0 into 0 5.138 * [backup-simplify]: Simplify 0 into 0 5.139 * [backup-simplify]: Simplify (* (/ (/ 1 im) (sqrt (+ (/ 1 re) (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))))) (/ (/ 1 im) (sqrt (+ (/ 1 re) (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))))) into (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) 5.139 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in (im re) around 0 5.139 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in re 5.140 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in re 5.140 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 5.140 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.140 * [taylor]: Taking taylor expansion of re in re 5.140 * [backup-simplify]: Simplify 0 into 0 5.140 * [backup-simplify]: Simplify 1 into 1 5.140 * [backup-simplify]: Simplify (/ 1 1) into 1 5.140 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.140 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.140 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.140 * [taylor]: Taking taylor expansion of im in re 5.140 * [backup-simplify]: Simplify im into im 5.140 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.141 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.141 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.141 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.141 * [taylor]: Taking taylor expansion of re in re 5.141 * [backup-simplify]: Simplify 0 into 0 5.141 * [backup-simplify]: Simplify 1 into 1 5.141 * [backup-simplify]: Simplify (* 1 1) into 1 5.141 * [backup-simplify]: Simplify (/ 1 1) into 1 5.142 * [backup-simplify]: Simplify (+ 0 1) into 1 5.142 * [backup-simplify]: Simplify (sqrt 1) into 1 5.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.144 * [backup-simplify]: Simplify (+ 0 0) into 0 5.145 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.145 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.145 * [taylor]: Taking taylor expansion of im in re 5.145 * [backup-simplify]: Simplify im into im 5.145 * [backup-simplify]: Simplify (+ 1 1) into 2 5.145 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.145 * [backup-simplify]: Simplify (* 2 (pow im 2)) into (* 2 (pow im 2)) 5.146 * [backup-simplify]: Simplify (/ 1 (* 2 (pow im 2))) into (/ 1/2 (pow im 2)) 5.146 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in im 5.146 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in im 5.146 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 5.146 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.146 * [taylor]: Taking taylor expansion of re in im 5.146 * [backup-simplify]: Simplify re into re 5.146 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.146 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.146 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.146 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.146 * [taylor]: Taking taylor expansion of im in im 5.146 * [backup-simplify]: Simplify 0 into 0 5.146 * [backup-simplify]: Simplify 1 into 1 5.146 * [backup-simplify]: Simplify (* 1 1) into 1 5.147 * [backup-simplify]: Simplify (/ 1 1) into 1 5.147 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.147 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.147 * [taylor]: Taking taylor expansion of re in im 5.147 * [backup-simplify]: Simplify re into re 5.147 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.147 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.148 * [backup-simplify]: Simplify (+ 1 0) into 1 5.148 * [backup-simplify]: Simplify (sqrt 1) into 1 5.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.150 * [backup-simplify]: Simplify (+ 0 0) into 0 5.151 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.151 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.151 * [taylor]: Taking taylor expansion of im in im 5.151 * [backup-simplify]: Simplify 0 into 0 5.151 * [backup-simplify]: Simplify 1 into 1 5.151 * [backup-simplify]: Simplify (+ 0 1) into 1 5.152 * [backup-simplify]: Simplify (* 1 1) into 1 5.152 * [backup-simplify]: Simplify (* 1 1) into 1 5.152 * [backup-simplify]: Simplify (/ 1 1) into 1 5.152 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in im 5.152 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in im 5.152 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 5.152 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.152 * [taylor]: Taking taylor expansion of re in im 5.153 * [backup-simplify]: Simplify re into re 5.153 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.153 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.153 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.153 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.153 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.153 * [taylor]: Taking taylor expansion of im in im 5.153 * [backup-simplify]: Simplify 0 into 0 5.153 * [backup-simplify]: Simplify 1 into 1 5.153 * [backup-simplify]: Simplify (* 1 1) into 1 5.153 * [backup-simplify]: Simplify (/ 1 1) into 1 5.153 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.153 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.154 * [taylor]: Taking taylor expansion of re in im 5.154 * [backup-simplify]: Simplify re into re 5.154 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.154 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.154 * [backup-simplify]: Simplify (+ 1 0) into 1 5.155 * [backup-simplify]: Simplify (sqrt 1) into 1 5.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.156 * [backup-simplify]: Simplify (+ 0 0) into 0 5.156 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.156 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.156 * [taylor]: Taking taylor expansion of im in im 5.156 * [backup-simplify]: Simplify 0 into 0 5.156 * [backup-simplify]: Simplify 1 into 1 5.157 * [backup-simplify]: Simplify (+ 0 1) into 1 5.157 * [backup-simplify]: Simplify (* 1 1) into 1 5.157 * [backup-simplify]: Simplify (* 1 1) into 1 5.157 * [backup-simplify]: Simplify (/ 1 1) into 1 5.157 * [taylor]: Taking taylor expansion of 1 in re 5.157 * [backup-simplify]: Simplify 1 into 1 5.157 * [backup-simplify]: Simplify 0 into 0 5.158 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.158 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 5.158 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 re) 1)) into (/ 1 re) 5.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 5.158 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 5.158 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.158 * [taylor]: Taking taylor expansion of re in re 5.158 * [backup-simplify]: Simplify 0 into 0 5.158 * [backup-simplify]: Simplify 1 into 1 5.159 * [backup-simplify]: Simplify (/ 1 1) into 1 5.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.160 * [backup-simplify]: Simplify (- 0) into 0 5.160 * [backup-simplify]: Simplify 0 into 0 5.160 * [backup-simplify]: Simplify 0 into 0 5.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.161 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 5.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.162 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 5.163 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 5.163 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 5.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 re) 0) (* (* 1/2 (/ 1 (pow re 2))) 1))) into (* 1/2 (/ 1 (pow re 2))) 5.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 5.164 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 5.164 * [taylor]: Taking taylor expansion of 1/2 in re 5.164 * [backup-simplify]: Simplify 1/2 into 1/2 5.164 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.164 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.164 * [taylor]: Taking taylor expansion of re in re 5.164 * [backup-simplify]: Simplify 0 into 0 5.164 * [backup-simplify]: Simplify 1 into 1 5.164 * [backup-simplify]: Simplify (* 1 1) into 1 5.164 * [backup-simplify]: Simplify (/ 1 1) into 1 5.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.168 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.168 * [backup-simplify]: Simplify 0 into 0 5.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.169 * [backup-simplify]: Simplify (- 0) into 0 5.169 * [backup-simplify]: Simplify 0 into 0 5.169 * [backup-simplify]: Simplify 0 into 0 5.169 * [backup-simplify]: Simplify 0 into 0 5.169 * [backup-simplify]: Simplify (* (/ (/ 1 (- im)) (sqrt (+ (/ 1 (- re)) (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))))) (/ (/ 1 (- im)) (sqrt (+ (/ 1 (- re)) (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))))) into (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) 5.170 * [approximate]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in (im re) around 0 5.170 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in re 5.170 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in re 5.170 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 5.170 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.170 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.170 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.170 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.170 * [taylor]: Taking taylor expansion of im in re 5.170 * [backup-simplify]: Simplify im into im 5.170 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.170 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.170 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.170 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.170 * [taylor]: Taking taylor expansion of re in re 5.170 * [backup-simplify]: Simplify 0 into 0 5.170 * [backup-simplify]: Simplify 1 into 1 5.170 * [backup-simplify]: Simplify (* 1 1) into 1 5.170 * [backup-simplify]: Simplify (/ 1 1) into 1 5.171 * [backup-simplify]: Simplify (+ 0 1) into 1 5.171 * [backup-simplify]: Simplify (sqrt 1) into 1 5.171 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.172 * [backup-simplify]: Simplify (+ 0 0) into 0 5.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.172 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.173 * [taylor]: Taking taylor expansion of re in re 5.173 * [backup-simplify]: Simplify 0 into 0 5.173 * [backup-simplify]: Simplify 1 into 1 5.173 * [backup-simplify]: Simplify (/ 1 1) into 1 5.173 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.173 * [taylor]: Taking taylor expansion of im in re 5.173 * [backup-simplify]: Simplify im into im 5.173 * [backup-simplify]: Simplify (- 1) into -1 5.173 * [backup-simplify]: Simplify (+ 1 -1) into 0 5.173 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.174 * [backup-simplify]: Simplify (* 0 (pow im 2)) into 0 5.174 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.174 * [backup-simplify]: Simplify (- 0) into 0 5.174 * [backup-simplify]: Simplify (+ 0 0) into 0 5.175 * [backup-simplify]: Simplify (+ (* 0 0) (* 0 (pow im 2))) into 0 5.175 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.176 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 5.177 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.184 * [backup-simplify]: Simplify (- 0) into 0 5.184 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 5.185 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 0 0) (* (* 1/2 (/ 1 (pow im 2))) (pow im 2)))) into 1/2 5.185 * [backup-simplify]: Simplify (/ 1 1/2) into 2 5.185 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in im 5.185 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in im 5.185 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 5.185 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.185 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.185 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.185 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.185 * [taylor]: Taking taylor expansion of im in im 5.185 * [backup-simplify]: Simplify 0 into 0 5.185 * [backup-simplify]: Simplify 1 into 1 5.185 * [backup-simplify]: Simplify (* 1 1) into 1 5.186 * [backup-simplify]: Simplify (/ 1 1) into 1 5.186 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.186 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.186 * [taylor]: Taking taylor expansion of re in im 5.186 * [backup-simplify]: Simplify re into re 5.186 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.186 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.186 * [backup-simplify]: Simplify (+ 1 0) into 1 5.187 * [backup-simplify]: Simplify (sqrt 1) into 1 5.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.188 * [backup-simplify]: Simplify (+ 0 0) into 0 5.188 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.188 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.188 * [taylor]: Taking taylor expansion of re in im 5.188 * [backup-simplify]: Simplify re into re 5.188 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.188 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.188 * [taylor]: Taking taylor expansion of im in im 5.188 * [backup-simplify]: Simplify 0 into 0 5.188 * [backup-simplify]: Simplify 1 into 1 5.189 * [backup-simplify]: Simplify (+ 1 0) into 1 5.189 * [backup-simplify]: Simplify (* 1 1) into 1 5.189 * [backup-simplify]: Simplify (* 1 1) into 1 5.189 * [backup-simplify]: Simplify (/ 1 1) into 1 5.189 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in im 5.189 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in im 5.189 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 5.189 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.189 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.189 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.190 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.190 * [taylor]: Taking taylor expansion of im in im 5.190 * [backup-simplify]: Simplify 0 into 0 5.190 * [backup-simplify]: Simplify 1 into 1 5.190 * [backup-simplify]: Simplify (* 1 1) into 1 5.190 * [backup-simplify]: Simplify (/ 1 1) into 1 5.190 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.190 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.190 * [taylor]: Taking taylor expansion of re in im 5.190 * [backup-simplify]: Simplify re into re 5.190 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.190 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.191 * [backup-simplify]: Simplify (+ 1 0) into 1 5.191 * [backup-simplify]: Simplify (sqrt 1) into 1 5.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.192 * [backup-simplify]: Simplify (+ 0 0) into 0 5.192 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.192 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.192 * [taylor]: Taking taylor expansion of re in im 5.192 * [backup-simplify]: Simplify re into re 5.192 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.192 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.193 * [taylor]: Taking taylor expansion of im in im 5.193 * [backup-simplify]: Simplify 0 into 0 5.193 * [backup-simplify]: Simplify 1 into 1 5.193 * [backup-simplify]: Simplify (+ 1 0) into 1 5.193 * [backup-simplify]: Simplify (* 1 1) into 1 5.193 * [backup-simplify]: Simplify (* 1 1) into 1 5.193 * [backup-simplify]: Simplify (/ 1 1) into 1 5.194 * [taylor]: Taking taylor expansion of 1 in re 5.194 * [backup-simplify]: Simplify 1 into 1 5.194 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.194 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 5.194 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 5.195 * [backup-simplify]: Simplify (+ (* 1 0) (* (- (/ 1 re)) 1)) into (- (/ 1 re)) 5.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 5.195 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.195 * [taylor]: Taking taylor expansion of re in re 5.195 * [backup-simplify]: Simplify 0 into 0 5.195 * [backup-simplify]: Simplify 1 into 1 5.196 * [backup-simplify]: Simplify (/ 1 1) into 1 5.196 * [backup-simplify]: Simplify 1 into 1 5.196 * [backup-simplify]: Simplify 1 into 1 5.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.198 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 5.199 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 5.199 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 5.199 * [backup-simplify]: Simplify (- 0) into 0 5.199 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 5.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 re)) 0) (* (* 1/2 (/ 1 (pow re 2))) 1))) into (* 1/2 (/ 1 (pow re 2))) 5.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 5.200 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 5.200 * [taylor]: Taking taylor expansion of 1/2 in re 5.200 * [backup-simplify]: Simplify 1/2 into 1/2 5.200 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.200 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.200 * [taylor]: Taking taylor expansion of re in re 5.200 * [backup-simplify]: Simplify 0 into 0 5.200 * [backup-simplify]: Simplify 1 into 1 5.200 * [backup-simplify]: Simplify (* 1 1) into 1 5.201 * [backup-simplify]: Simplify (/ 1 1) into 1 5.201 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.202 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.202 * [backup-simplify]: Simplify 0 into 0 5.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.203 * [backup-simplify]: Simplify 0 into 0 5.203 * [backup-simplify]: Simplify 0 into 0 5.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.205 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.205 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 5.205 * [backup-simplify]: Simplify (+ 0 0) into 0 5.205 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0 5.205 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 5.206 * [backup-simplify]: Simplify (- 0) into 0 5.206 * [backup-simplify]: Simplify (+ 0 0) into 0 5.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 re)) 0) (+ (* (* 1/2 (/ 1 (pow re 2))) 0) (* 0 1)))) into 0 5.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (/ 1 re) (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (* 1/2 (/ 1 (pow re 2))) (/ (- (/ 1 re)) 1)))) into 0 5.207 * [taylor]: Taking taylor expansion of 0 in re 5.207 * [backup-simplify]: Simplify 0 into 0 5.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.209 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.209 * [backup-simplify]: Simplify 0 into 0 5.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.209 * [backup-simplify]: Simplify 0 into 0 5.209 * [backup-simplify]: Simplify 0 into 0 5.210 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 (- im))))) (* 1 (* (/ 1 (/ 1 (- re))) 1))) into (- (+ re im)) 5.210 * * * [progress]: simplifying candidates 5.213 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (* 2.0 (* (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))))) (exp (sqrt (* 2.0 (* (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))))) (* (cbrt (sqrt (* 2.0 (* (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))))) (cbrt (sqrt (* 2.0 (* (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))))))) (cbrt (sqrt (* 2.0 (* (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))))) (* (* (sqrt (* 2.0 (* (/ im (sqrt (+ re (sqrt 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(* (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ (* (* im im) im) (* (* (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (* (/ (* (* im im) im) (* (* (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (* (* (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (* (* (* (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ (* (* im im) im) (* (* (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (* (* (* (/ im (sqrt (+ re 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im) (cbrt im)) (sqrt 1))) (* (/ (cbrt im) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ (cbrt im) (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (* (/ (* (cbrt im) (cbrt im)) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ (* (cbrt im) (cbrt im)) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (* (/ (cbrt im) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ (cbrt im) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (* (/ (* (cbrt im) (cbrt im)) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ (* (cbrt im) (cbrt im)) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (* (/ (cbrt im) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ (cbrt im) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (* (/ (* (cbrt im) (cbrt im)) 1) (/ (* (cbrt im) (cbrt im)) 1)) (* (/ (cbrt im) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ (cbrt im) (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (* (/ (sqrt im) (* (cbrt (sqrt (+ re (sqrt (+ (* re re) (* im 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(sqrt im) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (* (/ (sqrt im) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ (sqrt im) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (* (/ (sqrt im) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ (sqrt im) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (* (/ (sqrt im) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ (sqrt im) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (* (/ (sqrt im) 1) (/ (sqrt im) 1)) (* (/ (sqrt im) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ (sqrt im) (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (* (/ 1 (* (cbrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (/ 1 (* (cbrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))))) (* (/ im (cbrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ im (cbrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (* (/ 1 (sqrt (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im)))))))) (/ 1 (sqrt (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im))))))))) (* (/ im (sqrt (cbrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ im (sqrt (cbrt (+ re (sqrt (+ (* re re) (* im im)))))))) (* (/ 1 (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ 1 (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (* (/ im (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ im (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (* (/ 1 (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ 1 (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (* (/ im (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ im (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (* (/ 1 (sqrt 1)) (/ 1 (sqrt 1))) (* (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (* (/ 1 (sqrt 1)) (/ 1 (sqrt 1))) (* (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (* (/ 1 (sqrt 1)) (/ 1 (sqrt 1))) (* (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (* (/ 1 (sqrt 1)) (/ 1 (sqrt 1))) (* (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (* (/ 1 (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ 1 (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (* (/ im (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ im (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (* (/ 1 (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ 1 (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (* (/ im (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ im (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (* (/ 1 1) (/ 1 1)) (* (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (* 1 1) (* (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (* im im) (* (/ 1 (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ 1 (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (* (/ im (sqrt (+ (pow re 3) (pow (sqrt (+ (* re re) (* im im))) 3)))) (/ im (sqrt (+ (pow re 3) (pow (sqrt (+ (* re re) (* im im))) 3))))) (* (sqrt (+ (* re re) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re (sqrt (+ (* re re) (* im im))))))) (sqrt (+ (* re re) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re (sqrt (+ (* re re) (* im im)))))))) (* (/ im (sqrt (- (* re re) (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))))) (/ im (sqrt (- (* re re) (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))))))) (* (sqrt (- re (sqrt (+ (* re re) (* im im))))) (sqrt (- re (sqrt (+ (* re re) (* im im)))))) (* (sqrt (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (sqrt (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (* (sqrt (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (sqrt (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (* (sqrt (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ (sqrt im) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (* (sqrt (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ (sqrt im) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (* (sqrt (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ (sqrt im) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (* (sqrt (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ (sqrt im) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (* (/ (sqrt im) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (sqrt (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (* (/ (sqrt im) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (sqrt (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (* (/ (sqrt im) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ (sqrt im) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (* (/ (sqrt im) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ (sqrt im) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (* (/ (sqrt im) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ (sqrt im) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (* (/ (sqrt im) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ (sqrt im) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (* (/ (sqrt im) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (sqrt (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (* (/ (sqrt im) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (sqrt (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (* (/ (sqrt im) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ (sqrt im) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (* (/ (sqrt im) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ (sqrt im) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (* (/ (sqrt im) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ (sqrt im) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (* (/ (sqrt im) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ (sqrt im) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (* 2 1) (* (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (* (cbrt (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (cbrt (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))))) (* (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (sqrt (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (* (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ (* (cbrt im) (cbrt im)) (* (cbrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))))) (* (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ (* (cbrt im) (cbrt im)) (sqrt (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im))))))))) (* (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ (* (cbrt im) (cbrt im)) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (* (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ (* (cbrt im) (cbrt im)) (sqrt 1))) (* (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ (* (cbrt im) (cbrt im)) (sqrt 1))) (* (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ (* (cbrt im) (cbrt im)) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (* (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ (* (cbrt im) (cbrt im)) 1)) (* (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ (sqrt im) (* (cbrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))))) (* (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ (sqrt im) (sqrt (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im))))))))) (* (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ (sqrt im) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (* (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ (sqrt im) (sqrt 1))) (* (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ (sqrt im) (sqrt 1))) (* (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ (sqrt im) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (* (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ (sqrt im) 1)) (* (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ 1 (* (cbrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))))) (* (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ 1 (sqrt (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im))))))))) (* (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ 1 (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (* (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ 1 (sqrt 1))) (* (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ 1 (sqrt 1))) (* (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ 1 (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (* (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ 1 1)) (* (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) 1) (* (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) im) (* (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ im (sqrt (+ (pow re 3) (pow (sqrt (+ (* re re) (* im im))) 3))))) (* (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ im (sqrt (- (* re re) (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))))))) (* (cbrt (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (* (sqrt (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (* (/ (cbrt im) (cbrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (* (/ (cbrt im) (sqrt (cbrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (* (/ (cbrt im) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (* (/ (cbrt im) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (* (/ (cbrt im) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (* (/ (cbrt im) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (* (/ (cbrt im) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (* (/ (sqrt im) (cbrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (* (/ (sqrt im) (sqrt (cbrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (* (/ (sqrt im) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (* (/ (sqrt im) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (* (/ (sqrt im) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (* (/ (sqrt im) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (* (/ (sqrt im) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (* (/ im (cbrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (* (/ im (sqrt (cbrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (* (/ im (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (* (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (* (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (* (/ im (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (* (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (* (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (* (/ 1 (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (* (sqrt (+ (* re re) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re (sqrt (+ (* re re) (* im im))))))) (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (* (sqrt (- re (sqrt (+ (* re re) (* im im))))) (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (* (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) im) (* im (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) im re (* -1 re) im re (* -1 re) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) (* im re)))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) im))) (- (* +nan.0 (/ (* (sqrt 2.0) (pow im 3)) (sqrt 1/2)))))))) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (sqrt 2.0))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2)))))))) 0 0 (- (+ re im)) 6.612 * * * [progress]: adding candidates to table 7.323 * * [progress]: iteration 4 / 4 7.323 * * * [progress]: picking best candidate 7.362 * * * * [pick]: Picked # 7.363 * * * [progress]: localizing error 7.389 * * * [progress]: generating rewritten candidates 7.390 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 2 1 2) 7.398 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 7.408 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 7.458 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2 1) 7.483 * * * [progress]: generating series expansions 7.483 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 2 1 2) 7.484 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 7.484 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 7.484 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 7.484 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 7.484 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.484 * [taylor]: Taking taylor expansion of re in im 7.484 * [backup-simplify]: Simplify re into re 7.484 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.484 * [taylor]: Taking taylor expansion of im in im 7.484 * [backup-simplify]: Simplify 0 into 0 7.484 * [backup-simplify]: Simplify 1 into 1 7.484 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.484 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 7.485 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 7.485 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 7.485 * [backup-simplify]: Simplify (+ 0 0) into 0 7.486 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 7.486 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 7.486 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 7.486 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.486 * [taylor]: Taking taylor expansion of re in re 7.486 * [backup-simplify]: Simplify 0 into 0 7.486 * [backup-simplify]: Simplify 1 into 1 7.486 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.486 * [taylor]: Taking taylor expansion of im in re 7.486 * [backup-simplify]: Simplify im into im 7.486 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.486 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 7.486 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.486 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.487 * [backup-simplify]: Simplify (+ 0 0) into 0 7.487 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.487 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 7.487 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 7.487 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.487 * [taylor]: Taking taylor expansion of re in re 7.487 * [backup-simplify]: Simplify 0 into 0 7.487 * [backup-simplify]: Simplify 1 into 1 7.487 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.487 * [taylor]: Taking taylor expansion of im in re 7.487 * [backup-simplify]: Simplify im into im 7.487 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.488 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 7.488 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.488 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.488 * [backup-simplify]: Simplify (+ 0 0) into 0 7.488 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.488 * [taylor]: Taking taylor expansion of im in im 7.489 * [backup-simplify]: Simplify 0 into 0 7.489 * [backup-simplify]: Simplify 1 into 1 7.489 * [backup-simplify]: Simplify 0 into 0 7.489 * [taylor]: Taking taylor expansion of 0 in im 7.489 * [backup-simplify]: Simplify 0 into 0 7.489 * [backup-simplify]: Simplify 0 into 0 7.489 * [backup-simplify]: Simplify 1 into 1 7.489 * [backup-simplify]: Simplify (* 1 1) into 1 7.490 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 7.490 * [backup-simplify]: Simplify (+ 1 0) into 1 7.491 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 7.491 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 7.491 * [taylor]: Taking taylor expansion of 1/2 in im 7.491 * [backup-simplify]: Simplify 1/2 into 1/2 7.491 * [taylor]: Taking taylor expansion of im in im 7.491 * [backup-simplify]: Simplify 0 into 0 7.491 * [backup-simplify]: Simplify 1 into 1 7.492 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.493 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.493 * [backup-simplify]: Simplify 0 into 0 7.493 * [backup-simplify]: Simplify 0 into 0 7.493 * [backup-simplify]: Simplify 0 into 0 7.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.494 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 7.495 * [backup-simplify]: Simplify (+ 0 0) into 0 7.495 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 7.495 * [taylor]: Taking taylor expansion of 0 in im 7.495 * [backup-simplify]: Simplify 0 into 0 7.495 * [backup-simplify]: Simplify 0 into 0 7.496 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.496 * [backup-simplify]: Simplify 0 into 0 7.496 * [backup-simplify]: Simplify 0 into 0 7.496 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 7.497 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 7.497 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 7.497 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 7.497 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 7.497 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.497 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.497 * [taylor]: Taking taylor expansion of im in im 7.497 * [backup-simplify]: Simplify 0 into 0 7.497 * [backup-simplify]: Simplify 1 into 1 7.497 * [backup-simplify]: Simplify (* 1 1) into 1 7.498 * [backup-simplify]: Simplify (/ 1 1) into 1 7.498 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.498 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.498 * [taylor]: Taking taylor expansion of re in im 7.498 * [backup-simplify]: Simplify re into re 7.498 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.498 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.499 * [backup-simplify]: Simplify (+ 1 0) into 1 7.499 * [backup-simplify]: Simplify (sqrt 1) into 1 7.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.501 * [backup-simplify]: Simplify (+ 0 0) into 0 7.502 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.502 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.502 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.502 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.502 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.502 * [taylor]: Taking taylor expansion of im in re 7.502 * [backup-simplify]: Simplify im into im 7.502 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.503 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.503 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.503 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.503 * [taylor]: Taking taylor expansion of re in re 7.503 * [backup-simplify]: Simplify 0 into 0 7.503 * [backup-simplify]: Simplify 1 into 1 7.503 * [backup-simplify]: Simplify (* 1 1) into 1 7.504 * [backup-simplify]: Simplify (/ 1 1) into 1 7.504 * [backup-simplify]: Simplify (+ 0 1) into 1 7.505 * [backup-simplify]: Simplify (sqrt 1) into 1 7.505 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.506 * [backup-simplify]: Simplify (+ 0 0) into 0 7.507 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.507 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.507 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.507 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.507 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.507 * [taylor]: Taking taylor expansion of im in re 7.507 * [backup-simplify]: Simplify im into im 7.507 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.508 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.508 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.508 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.508 * [taylor]: Taking taylor expansion of re in re 7.508 * [backup-simplify]: Simplify 0 into 0 7.508 * [backup-simplify]: Simplify 1 into 1 7.508 * [backup-simplify]: Simplify (* 1 1) into 1 7.509 * [backup-simplify]: Simplify (/ 1 1) into 1 7.509 * [backup-simplify]: Simplify (+ 0 1) into 1 7.509 * [backup-simplify]: Simplify (sqrt 1) into 1 7.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.511 * [backup-simplify]: Simplify (+ 0 0) into 0 7.512 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.512 * [taylor]: Taking taylor expansion of 1 in im 7.512 * [backup-simplify]: Simplify 1 into 1 7.512 * [taylor]: Taking taylor expansion of 0 in im 7.512 * [backup-simplify]: Simplify 0 into 0 7.512 * [backup-simplify]: Simplify 1 into 1 7.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.514 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 7.516 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.516 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 7.516 * [taylor]: Taking taylor expansion of 1/2 in im 7.516 * [backup-simplify]: Simplify 1/2 into 1/2 7.516 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.516 * [taylor]: Taking taylor expansion of im in im 7.516 * [backup-simplify]: Simplify 0 into 0 7.516 * [backup-simplify]: Simplify 1 into 1 7.516 * [backup-simplify]: Simplify (* 1 1) into 1 7.517 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.518 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.518 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.518 * [backup-simplify]: Simplify 0 into 0 7.519 * [backup-simplify]: Simplify 0 into 0 7.519 * [backup-simplify]: Simplify 0 into 0 7.519 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.519 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 7.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.522 * [backup-simplify]: Simplify (+ 0 0) into 0 7.522 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.522 * [taylor]: Taking taylor expansion of 0 in im 7.522 * [backup-simplify]: Simplify 0 into 0 7.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.524 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.524 * [backup-simplify]: Simplify 0 into 0 7.524 * [backup-simplify]: Simplify 0 into 0 7.525 * [backup-simplify]: Simplify 0 into 0 7.525 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 7.525 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 7.525 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 7.525 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 7.525 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 7.525 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.525 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.525 * [taylor]: Taking taylor expansion of im in im 7.525 * [backup-simplify]: Simplify 0 into 0 7.525 * [backup-simplify]: Simplify 1 into 1 7.526 * [backup-simplify]: Simplify (* 1 1) into 1 7.526 * [backup-simplify]: Simplify (/ 1 1) into 1 7.526 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.526 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.526 * [taylor]: Taking taylor expansion of re in im 7.526 * [backup-simplify]: Simplify re into re 7.526 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.527 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.527 * [backup-simplify]: Simplify (+ 1 0) into 1 7.527 * [backup-simplify]: Simplify (sqrt 1) into 1 7.528 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.529 * [backup-simplify]: Simplify (+ 0 0) into 0 7.530 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.530 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.530 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.530 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.530 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.530 * [taylor]: Taking taylor expansion of im in re 7.530 * [backup-simplify]: Simplify im into im 7.530 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.531 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.531 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.531 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.531 * [taylor]: Taking taylor expansion of re in re 7.531 * [backup-simplify]: Simplify 0 into 0 7.531 * [backup-simplify]: Simplify 1 into 1 7.531 * [backup-simplify]: Simplify (* 1 1) into 1 7.531 * [backup-simplify]: Simplify (/ 1 1) into 1 7.532 * [backup-simplify]: Simplify (+ 0 1) into 1 7.532 * [backup-simplify]: Simplify (sqrt 1) into 1 7.533 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.534 * [backup-simplify]: Simplify (+ 0 0) into 0 7.535 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.535 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.535 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.535 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.535 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.535 * [taylor]: Taking taylor expansion of im in re 7.535 * [backup-simplify]: Simplify im into im 7.535 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.535 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.535 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.535 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.535 * [taylor]: Taking taylor expansion of re in re 7.536 * [backup-simplify]: Simplify 0 into 0 7.536 * [backup-simplify]: Simplify 1 into 1 7.536 * [backup-simplify]: Simplify (* 1 1) into 1 7.536 * [backup-simplify]: Simplify (/ 1 1) into 1 7.537 * [backup-simplify]: Simplify (+ 0 1) into 1 7.537 * [backup-simplify]: Simplify (sqrt 1) into 1 7.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.539 * [backup-simplify]: Simplify (+ 0 0) into 0 7.540 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.540 * [taylor]: Taking taylor expansion of 1 in im 7.540 * [backup-simplify]: Simplify 1 into 1 7.540 * [taylor]: Taking taylor expansion of 0 in im 7.540 * [backup-simplify]: Simplify 0 into 0 7.540 * [backup-simplify]: Simplify 1 into 1 7.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.548 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 7.549 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.549 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 7.549 * [taylor]: Taking taylor expansion of 1/2 in im 7.550 * [backup-simplify]: Simplify 1/2 into 1/2 7.550 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.550 * [taylor]: Taking taylor expansion of im in im 7.550 * [backup-simplify]: Simplify 0 into 0 7.550 * [backup-simplify]: Simplify 1 into 1 7.550 * [backup-simplify]: Simplify (* 1 1) into 1 7.551 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.552 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.552 * [backup-simplify]: Simplify 0 into 0 7.552 * [backup-simplify]: Simplify 0 into 0 7.552 * [backup-simplify]: Simplify 0 into 0 7.553 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.553 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 7.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.555 * [backup-simplify]: Simplify (+ 0 0) into 0 7.556 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.556 * [taylor]: Taking taylor expansion of 0 in im 7.556 * [backup-simplify]: Simplify 0 into 0 7.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.558 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.558 * [backup-simplify]: Simplify 0 into 0 7.558 * [backup-simplify]: Simplify 0 into 0 7.558 * [backup-simplify]: Simplify 0 into 0 7.558 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 7.558 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 7.559 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) into (* (sqrt 2.0) (fabs (* im (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))))) 7.559 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (fabs (* im (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))))) in (im re) around 0 7.559 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (* im (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))))) in re 7.559 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.559 * [taylor]: Taking taylor expansion of 2.0 in re 7.559 * [backup-simplify]: Simplify 2.0 into 2.0 7.560 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.561 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.561 * [taylor]: Taking taylor expansion of (fabs (* im (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))))) in re 7.563 * [backup-simplify]: Simplify (fabs (* im (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))))) into (fabs (* im (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))))) 7.563 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (* im (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))))) in im 7.563 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.563 * [taylor]: Taking taylor expansion of 2.0 in im 7.563 * [backup-simplify]: Simplify 2.0 into 2.0 7.564 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.565 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.565 * [taylor]: Taking taylor expansion of (fabs (* im (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))))) in im 7.565 * [backup-simplify]: Simplify (fabs (* im (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))))) into (fabs (* im (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))))) 7.565 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (* im (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))))) in im 7.565 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.565 * [taylor]: Taking taylor expansion of 2.0 in im 7.565 * [backup-simplify]: Simplify 2.0 into 2.0 7.566 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.566 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.566 * [taylor]: Taking taylor expansion of (fabs (* im (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))))) in im 7.567 * [backup-simplify]: Simplify (fabs (* im (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))))) into (fabs (* im (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))))) 7.568 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (* im (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))))) into (* (sqrt 2.0) (fabs (* im (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))))) 7.568 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (* im (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))))) in re 7.568 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.568 * [taylor]: Taking taylor expansion of 2.0 in re 7.568 * [backup-simplify]: Simplify 2.0 into 2.0 7.568 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.569 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.569 * [taylor]: Taking taylor expansion of (fabs (* im (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))))) in re 7.570 * [backup-simplify]: Simplify (fabs (* im (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))))) into (fabs (* im (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))))) 7.570 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (* im (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))))) into (* (sqrt 2.0) (fabs (* im (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))))) 7.571 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (* im (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))))) into (* (sqrt 2.0) (fabs (* im (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))))) 7.572 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (* im (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))))))) into 0 7.572 * [taylor]: Taking taylor expansion of 0 in re 7.572 * [backup-simplify]: Simplify 0 into 0 7.572 * [backup-simplify]: Simplify 0 into 0 7.573 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (* im (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))))))) into 0 7.573 * [backup-simplify]: Simplify 0 into 0 7.573 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 7.574 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (fabs (* im (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))))))) into 0 7.574 * [taylor]: Taking taylor expansion of 0 in re 7.574 * [backup-simplify]: Simplify 0 into 0 7.574 * [backup-simplify]: Simplify 0 into 0 7.574 * [backup-simplify]: Simplify 0 into 0 7.575 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 7.576 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (fabs (* im (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))))))) into 0 7.576 * [backup-simplify]: Simplify 0 into 0 7.576 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.577 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fabs (* im (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))))))))) into 0 7.577 * [taylor]: Taking taylor expansion of 0 in re 7.577 * [backup-simplify]: Simplify 0 into 0 7.577 * [backup-simplify]: Simplify 0 into 0 7.578 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (* im (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))))) into (* (sqrt 2.0) (fabs (* im (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))))) 7.578 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ (/ 1 im) (sqrt (+ (/ 1 re) (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))))))) into (* (sqrt 2.0) (fabs (* (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) (/ 1 im)))) 7.579 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (fabs (* (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) (/ 1 im)))) in (im re) around 0 7.579 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (* (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) (/ 1 im)))) in re 7.579 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.579 * [taylor]: Taking taylor expansion of 2.0 in re 7.579 * [backup-simplify]: Simplify 2.0 into 2.0 7.579 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.579 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.579 * [taylor]: Taking taylor expansion of (fabs (* (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) (/ 1 im))) in re 7.580 * [backup-simplify]: Simplify (fabs (* (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) (/ 1 im))) into (fabs (* (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) (/ 1 im))) 7.580 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (* (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) (/ 1 im)))) in im 7.580 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.580 * [taylor]: Taking taylor expansion of 2.0 in im 7.580 * [backup-simplify]: Simplify 2.0 into 2.0 7.580 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.580 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.581 * [taylor]: Taking taylor expansion of (fabs (* (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) (/ 1 im))) in im 7.581 * [backup-simplify]: Simplify (fabs (* (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) (/ 1 im))) into (fabs (* (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) (/ 1 im))) 7.581 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (* (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) (/ 1 im)))) in im 7.581 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.581 * [taylor]: Taking taylor expansion of 2.0 in im 7.581 * [backup-simplify]: Simplify 2.0 into 2.0 7.581 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.582 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.582 * [taylor]: Taking taylor expansion of (fabs (* (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) (/ 1 im))) in im 7.582 * [backup-simplify]: Simplify (fabs (* (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) (/ 1 im))) into (fabs (* (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) (/ 1 im))) 7.583 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (* (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) (/ 1 im)))) into (* (sqrt 2.0) (fabs (* (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) (/ 1 im)))) 7.583 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (* (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) (/ 1 im)))) in re 7.583 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.583 * [taylor]: Taking taylor expansion of 2.0 in re 7.583 * [backup-simplify]: Simplify 2.0 into 2.0 7.583 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.584 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.584 * [taylor]: Taking taylor expansion of (fabs (* (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) (/ 1 im))) in re 7.584 * [backup-simplify]: Simplify (fabs (* (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) (/ 1 im))) into (fabs (* (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) (/ 1 im))) 7.585 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (* (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) (/ 1 im)))) into (* (sqrt 2.0) (fabs (* (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) (/ 1 im)))) 7.585 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (* (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) (/ 1 im)))) into (* (sqrt 2.0) (fabs (* (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) (/ 1 im)))) 7.586 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (* (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) (/ 1 im))))) into 0 7.586 * [taylor]: Taking taylor expansion of 0 in re 7.586 * [backup-simplify]: Simplify 0 into 0 7.586 * [backup-simplify]: Simplify 0 into 0 7.587 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (* (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) (/ 1 im))))) into 0 7.587 * [backup-simplify]: Simplify 0 into 0 7.588 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 7.589 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (fabs (* (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) (/ 1 im)))))) into 0 7.589 * [taylor]: Taking taylor expansion of 0 in re 7.589 * [backup-simplify]: Simplify 0 into 0 7.589 * [backup-simplify]: Simplify 0 into 0 7.589 * [backup-simplify]: Simplify 0 into 0 7.589 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 7.590 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (fabs (* (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) (/ 1 im)))))) into 0 7.590 * [backup-simplify]: Simplify 0 into 0 7.591 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.592 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fabs (* (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) (/ 1 im))))))) into 0 7.592 * [taylor]: Taking taylor expansion of 0 in re 7.592 * [backup-simplify]: Simplify 0 into 0 7.592 * [backup-simplify]: Simplify 0 into 0 7.593 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (* (sqrt (/ 1 (+ (/ 1 (/ 1 re)) (sqrt (+ (/ 1 (pow (/ 1 im) 2)) (/ 1 (pow (/ 1 re) 2))))))) (/ 1 (/ 1 im))))) into (* (sqrt 2.0) (fabs (* im (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))))) 7.593 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ (/ 1 (- im)) (sqrt (+ (/ 1 (- re)) (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))))))) into (* (sqrt 2.0) (fabs (* -1 (* (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) (/ 1 im))))) 7.594 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (fabs (* -1 (* (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) (/ 1 im))))) in (im re) around 0 7.594 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (* -1 (* (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) (/ 1 im))))) in re 7.594 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.594 * [taylor]: Taking taylor expansion of 2.0 in re 7.594 * [backup-simplify]: Simplify 2.0 into 2.0 7.594 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.594 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.594 * [taylor]: Taking taylor expansion of (fabs (* -1 (* (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) (/ 1 im)))) in re 7.595 * [backup-simplify]: Simplify (fabs (* -1 (* (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) (/ 1 im)))) into (fabs (* -1 (* (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) (/ 1 im)))) 7.595 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (* -1 (* (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) (/ 1 im))))) in im 7.595 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.595 * [taylor]: Taking taylor expansion of 2.0 in im 7.595 * [backup-simplify]: Simplify 2.0 into 2.0 7.595 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.595 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.596 * [taylor]: Taking taylor expansion of (fabs (* -1 (* (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) (/ 1 im)))) in im 7.596 * [backup-simplify]: Simplify (fabs (* -1 (* (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) (/ 1 im)))) into (fabs (* -1 (* (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) (/ 1 im)))) 7.596 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (* -1 (* (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) (/ 1 im))))) in im 7.596 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.596 * [taylor]: Taking taylor expansion of 2.0 in im 7.596 * [backup-simplify]: Simplify 2.0 into 2.0 7.596 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.597 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.597 * [taylor]: Taking taylor expansion of (fabs (* -1 (* (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) (/ 1 im)))) in im 7.597 * [backup-simplify]: Simplify (fabs (* -1 (* (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) (/ 1 im)))) into (fabs (* -1 (* (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) (/ 1 im)))) 7.598 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (* -1 (* (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) (/ 1 im))))) into (* (sqrt 2.0) (fabs (* -1 (* (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) (/ 1 im))))) 7.598 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (* -1 (* (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) (/ 1 im))))) in re 7.598 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.598 * [taylor]: Taking taylor expansion of 2.0 in re 7.598 * [backup-simplify]: Simplify 2.0 into 2.0 7.598 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.598 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.598 * [taylor]: Taking taylor expansion of (fabs (* -1 (* (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) (/ 1 im)))) in re 7.599 * [backup-simplify]: Simplify (fabs (* -1 (* (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) (/ 1 im)))) into (fabs (* -1 (* (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) (/ 1 im)))) 7.599 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (* -1 (* (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) (/ 1 im))))) into (* (sqrt 2.0) (fabs (* -1 (* (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) (/ 1 im))))) 7.600 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (* -1 (* (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) (/ 1 im))))) into (* (sqrt 2.0) (fabs (* -1 (* (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) (/ 1 im))))) 7.601 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (* -1 (* (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) (/ 1 im)))))) into 0 7.601 * [taylor]: Taking taylor expansion of 0 in re 7.601 * [backup-simplify]: Simplify 0 into 0 7.601 * [backup-simplify]: Simplify 0 into 0 7.602 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (* -1 (* (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) (/ 1 im)))))) into 0 7.602 * [backup-simplify]: Simplify 0 into 0 7.602 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 7.603 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (fabs (* -1 (* (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) (/ 1 im))))))) into 0 7.603 * [taylor]: Taking taylor expansion of 0 in re 7.603 * [backup-simplify]: Simplify 0 into 0 7.603 * [backup-simplify]: Simplify 0 into 0 7.604 * [backup-simplify]: Simplify 0 into 0 7.604 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 7.605 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (fabs (* -1 (* (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) (/ 1 im))))))) into 0 7.605 * [backup-simplify]: Simplify 0 into 0 7.606 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.607 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fabs (* -1 (* (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) (/ 1 im)))))))) into 0 7.607 * [taylor]: Taking taylor expansion of 0 in re 7.607 * [backup-simplify]: Simplify 0 into 0 7.607 * [backup-simplify]: Simplify 0 into 0 7.608 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (* -1 (* (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow (/ 1 (- im)) 2)) (/ 1 (pow (/ 1 (- re)) 2)))) (/ 1 (/ 1 (- re)))))) (/ 1 (/ 1 (- im))))))) into (* (sqrt 2.0) (fabs (* im (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))))) 7.608 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 7.609 * [backup-simplify]: Simplify (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) into (* im (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) 7.609 * [approximate]: Taking taylor expansion of (* im (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in (im re) around 0 7.609 * [taylor]: Taking taylor expansion of (* im (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in re 7.609 * [taylor]: Taking taylor expansion of im in re 7.609 * [backup-simplify]: Simplify im into im 7.609 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 7.609 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 7.609 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 7.609 * [taylor]: Taking taylor expansion of re in re 7.609 * [backup-simplify]: Simplify 0 into 0 7.609 * [backup-simplify]: Simplify 1 into 1 7.609 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 7.609 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 7.609 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.609 * [taylor]: Taking taylor expansion of re in re 7.609 * [backup-simplify]: Simplify 0 into 0 7.609 * [backup-simplify]: Simplify 1 into 1 7.609 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.609 * [taylor]: Taking taylor expansion of im in re 7.609 * [backup-simplify]: Simplify im into im 7.609 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.610 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 7.610 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.610 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.610 * [backup-simplify]: Simplify (+ 0 0) into 0 7.610 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.610 * [backup-simplify]: Simplify (+ 0 im) into im 7.611 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 7.611 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im)) 7.611 * [backup-simplify]: Simplify (+ 1 0) into 1 7.611 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 1 im)))) into (- (/ 1 (pow im 2))) 7.612 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2))) (* 2 (sqrt (/ 1 im)))) into (* -1/2 (sqrt (/ 1 (pow im 3)))) 7.612 * [taylor]: Taking taylor expansion of (* im (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 7.612 * [taylor]: Taking taylor expansion of im in im 7.612 * [backup-simplify]: Simplify 0 into 0 7.612 * [backup-simplify]: Simplify 1 into 1 7.612 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 7.612 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 7.612 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 7.612 * [taylor]: Taking taylor expansion of re in im 7.612 * [backup-simplify]: Simplify re into re 7.612 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 7.612 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 7.612 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.612 * [taylor]: Taking taylor expansion of re in im 7.612 * [backup-simplify]: Simplify re into re 7.612 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.612 * [taylor]: Taking taylor expansion of im in im 7.612 * [backup-simplify]: Simplify 0 into 0 7.612 * [backup-simplify]: Simplify 1 into 1 7.613 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.613 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 7.613 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 7.613 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 7.613 * [backup-simplify]: Simplify (+ 0 0) into 0 7.613 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 7.614 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 7.614 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 7.614 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 7.614 * [backup-simplify]: Simplify (+ 0 0) into 0 7.614 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 7.614 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 7.614 * [taylor]: Taking taylor expansion of (* im (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 7.614 * [taylor]: Taking taylor expansion of im in im 7.614 * [backup-simplify]: Simplify 0 into 0 7.615 * [backup-simplify]: Simplify 1 into 1 7.615 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 7.615 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 7.615 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 7.615 * [taylor]: Taking taylor expansion of re in im 7.615 * [backup-simplify]: Simplify re into re 7.615 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 7.615 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 7.615 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.615 * [taylor]: Taking taylor expansion of re in im 7.615 * [backup-simplify]: Simplify re into re 7.615 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.615 * [taylor]: Taking taylor expansion of im in im 7.615 * [backup-simplify]: Simplify 0 into 0 7.615 * [backup-simplify]: Simplify 1 into 1 7.615 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.615 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 7.615 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 7.615 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 7.616 * [backup-simplify]: Simplify (+ 0 0) into 0 7.616 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 7.616 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 7.616 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 7.616 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 7.617 * [backup-simplify]: Simplify (+ 0 0) into 0 7.617 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 7.617 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 7.617 * [backup-simplify]: Simplify (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2))) into 0 7.617 * [taylor]: Taking taylor expansion of 0 in re 7.617 * [backup-simplify]: Simplify 0 into 0 7.617 * [backup-simplify]: Simplify 0 into 0 7.618 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* (sqrt (/ 1 re)) (sqrt 1/2)))) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 7.618 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 re)) (sqrt 1/2)) in re 7.618 * [taylor]: Taking taylor expansion of (sqrt (/ 1 re)) in re 7.618 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.618 * [taylor]: Taking taylor expansion of re in re 7.618 * [backup-simplify]: Simplify 0 into 0 7.618 * [backup-simplify]: Simplify 1 into 1 7.619 * [backup-simplify]: Simplify (/ 1 1) into 1 7.619 * [backup-simplify]: Simplify (sqrt 0) into 0 7.621 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.621 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 7.621 * [taylor]: Taking taylor expansion of 1/2 in re 7.621 * [backup-simplify]: Simplify 1/2 into 1/2 7.621 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 7.622 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 7.624 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 7.624 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 7.625 * [backup-simplify]: Simplify 0 into 0 7.625 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 7.625 * [backup-simplify]: Simplify (* 1 1) into 1 7.625 * [backup-simplify]: Simplify (+ 0 1) into 1 7.626 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 7.626 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re)) 7.626 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ (* 1/2 (/ 1 re)) (* 2 re))) (* 0 (/ 0 (* 2 re))))) into (- (* 1/8 (/ 1 (pow re 3)))) 7.627 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow re 3)))) (pow 0 2) (+)) (* 2 (* (sqrt (/ 1 re)) (sqrt 1/2)))) into (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2)))) 7.628 * [backup-simplify]: Simplify (+ (* 0 (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2))))) (+ (* 1 0) (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2))))) into 0 7.628 * [taylor]: Taking taylor expansion of 0 in re 7.628 * [backup-simplify]: Simplify 0 into 0 7.628 * [backup-simplify]: Simplify 0 into 0 7.629 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 7.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.631 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.633 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 7.634 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 7.634 * [backup-simplify]: Simplify 0 into 0 7.635 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 7.635 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.635 * [backup-simplify]: Simplify (+ 0 0) into 0 7.635 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 7.636 * [backup-simplify]: Simplify (+ 0 0) into 0 7.636 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))) (* 0 (/ (* 1/2 (/ 1 re)) (* 2 re))) (* (- (* 1/8 (/ 1 (pow re 3)))) (/ 0 (* 2 re))))) into 0 7.637 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2)))))))) (* 2 (* (sqrt (/ 1 re)) (sqrt 1/2)))) into 0 7.638 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2))))) (+ (* 0 0) (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2)))))) into (- (* 1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2))))) 7.638 * [taylor]: Taking taylor expansion of (- (* 1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2))))) in re 7.638 * [taylor]: Taking taylor expansion of (* 1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2)))) in re 7.638 * [taylor]: Taking taylor expansion of 1/16 in re 7.639 * [backup-simplify]: Simplify 1/16 into 1/16 7.639 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2))) in re 7.639 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 5))) in re 7.639 * [taylor]: Taking taylor expansion of (/ 1 (pow re 5)) in re 7.639 * [taylor]: Taking taylor expansion of (pow re 5) in re 7.639 * [taylor]: Taking taylor expansion of re in re 7.639 * [backup-simplify]: Simplify 0 into 0 7.639 * [backup-simplify]: Simplify 1 into 1 7.639 * [backup-simplify]: Simplify (* 1 1) into 1 7.639 * [backup-simplify]: Simplify (* 1 1) into 1 7.639 * [backup-simplify]: Simplify (* 1 1) into 1 7.640 * [backup-simplify]: Simplify (/ 1 1) into 1 7.640 * [backup-simplify]: Simplify (sqrt 0) into 0 7.641 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.641 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 1/2)) in re 7.641 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 7.641 * [taylor]: Taking taylor expansion of 1/2 in re 7.641 * [backup-simplify]: Simplify 1/2 into 1/2 7.641 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 7.641 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 7.642 * [backup-simplify]: Simplify (/ 1 (sqrt 1/2)) into (/ 1 (sqrt 1/2)) 7.642 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 7.643 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 7.644 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 1/2)) (/ 0 (sqrt 1/2))))) into 0 7.645 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0 7.645 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0 7.646 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.646 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.646 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.649 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.660 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.667 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (/ 1 (sqrt 1/2)))))) into (- (* +nan.0 (/ 1 (sqrt 1/2)))) 7.673 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (/ 1 (sqrt 1/2))))) into (- (* +nan.0 (/ 1 (sqrt 1/2)))) 7.676 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (/ 1 (sqrt 1/2)))) into (- (* +nan.0 (/ 1 (sqrt 1/2)))) 7.677 * [backup-simplify]: Simplify (* 0 (/ 1 (sqrt 1/2))) into 0 7.685 * [backup-simplify]: Simplify (+ (* 1/16 (- (* +nan.0 (/ 1 (sqrt 1/2))))) (+ (* 0 (- (* +nan.0 (/ 1 (sqrt 1/2))))) (+ (* 0 (- (* +nan.0 (/ 1 (sqrt 1/2))))) (* 0 0)))) into (- (* +nan.0 (/ 1 (sqrt 1/2)))) 7.688 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ 1 (sqrt 1/2))))) into (- (* +nan.0 (/ 1 (sqrt 1/2)))) 7.691 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (sqrt 1/2)))) into (- (* +nan.0 (/ 1 (sqrt 1/2)))) 7.697 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (sqrt 1/2)))) (pow (* 1 im) 3)) (+ (* (- (* +nan.0 (sqrt 1/2))) (* re im)) (* (- (* +nan.0 (sqrt 1/2))) (* 1 im)))) into (- (+ (* +nan.0 (/ (pow im 3) (sqrt 1/2))) (- (+ (* +nan.0 (* (sqrt 1/2) im)) (- (* +nan.0 (* re (* (sqrt 1/2) im)))))))) 7.697 * [backup-simplify]: Simplify (/ (/ 1 im) (sqrt (+ (/ 1 re) (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))))) into (* (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) (/ 1 im)) 7.698 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) (/ 1 im)) in (im re) around 0 7.698 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) (/ 1 im)) in re 7.698 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 7.698 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 7.698 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 7.698 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.698 * [taylor]: Taking taylor expansion of re in re 7.698 * [backup-simplify]: Simplify 0 into 0 7.698 * [backup-simplify]: Simplify 1 into 1 7.698 * [backup-simplify]: Simplify (/ 1 1) into 1 7.698 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.698 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.698 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.698 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.698 * [taylor]: Taking taylor expansion of im in re 7.698 * [backup-simplify]: Simplify im into im 7.698 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.699 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.699 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.699 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.699 * [taylor]: Taking taylor expansion of re in re 7.699 * [backup-simplify]: Simplify 0 into 0 7.699 * [backup-simplify]: Simplify 1 into 1 7.699 * [backup-simplify]: Simplify (* 1 1) into 1 7.700 * [backup-simplify]: Simplify (/ 1 1) into 1 7.700 * [backup-simplify]: Simplify (+ 0 1) into 1 7.701 * [backup-simplify]: Simplify (sqrt 1) into 1 7.701 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.703 * [backup-simplify]: Simplify (+ 0 0) into 0 7.703 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.704 * [backup-simplify]: Simplify (+ 1 1) into 2 7.704 * [backup-simplify]: Simplify (/ 1 2) into 1/2 7.705 * [backup-simplify]: Simplify (sqrt 0) into 0 7.706 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0 7.706 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.706 * [taylor]: Taking taylor expansion of im in re 7.706 * [backup-simplify]: Simplify im into im 7.706 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 7.706 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) (/ 1 im)) in im 7.706 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 7.706 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 7.706 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 7.706 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.706 * [taylor]: Taking taylor expansion of re in im 7.706 * [backup-simplify]: Simplify re into re 7.707 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.707 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 7.707 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 7.707 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.707 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.707 * [taylor]: Taking taylor expansion of im in im 7.707 * [backup-simplify]: Simplify 0 into 0 7.707 * [backup-simplify]: Simplify 1 into 1 7.707 * [backup-simplify]: Simplify (* 1 1) into 1 7.708 * [backup-simplify]: Simplify (/ 1 1) into 1 7.708 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.708 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.708 * [taylor]: Taking taylor expansion of re in im 7.708 * [backup-simplify]: Simplify re into re 7.708 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.708 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.708 * [backup-simplify]: Simplify (+ 1 0) into 1 7.709 * [backup-simplify]: Simplify (sqrt 1) into 1 7.709 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.711 * [backup-simplify]: Simplify (+ 0 0) into 0 7.711 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.712 * [backup-simplify]: Simplify (+ 0 1) into 1 7.712 * [backup-simplify]: Simplify (/ 1 1) into 1 7.713 * [backup-simplify]: Simplify (sqrt 0) into 0 7.714 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.714 * [taylor]: Taking taylor expansion of (/ 1 im) in im 7.714 * [taylor]: Taking taylor expansion of im in im 7.714 * [backup-simplify]: Simplify 0 into 0 7.714 * [backup-simplify]: Simplify 1 into 1 7.714 * [backup-simplify]: Simplify (/ 1 1) into 1 7.714 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) (/ 1 im)) in im 7.715 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 7.715 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 7.715 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 7.715 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.715 * [taylor]: Taking taylor expansion of re in im 7.715 * [backup-simplify]: Simplify re into re 7.715 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.715 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 7.715 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 7.715 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.715 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.715 * [taylor]: Taking taylor expansion of im in im 7.715 * [backup-simplify]: Simplify 0 into 0 7.715 * [backup-simplify]: Simplify 1 into 1 7.715 * [backup-simplify]: Simplify (* 1 1) into 1 7.716 * [backup-simplify]: Simplify (/ 1 1) into 1 7.716 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.716 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.716 * [taylor]: Taking taylor expansion of re in im 7.716 * [backup-simplify]: Simplify re into re 7.716 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.716 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.717 * [backup-simplify]: Simplify (+ 1 0) into 1 7.717 * [backup-simplify]: Simplify (sqrt 1) into 1 7.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.719 * [backup-simplify]: Simplify (+ 0 0) into 0 7.720 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.720 * [backup-simplify]: Simplify (+ 0 1) into 1 7.720 * [backup-simplify]: Simplify (/ 1 1) into 1 7.721 * [backup-simplify]: Simplify (sqrt 0) into 0 7.722 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.722 * [taylor]: Taking taylor expansion of (/ 1 im) in im 7.722 * [taylor]: Taking taylor expansion of im in im 7.722 * [backup-simplify]: Simplify 0 into 0 7.722 * [backup-simplify]: Simplify 1 into 1 7.723 * [backup-simplify]: Simplify (/ 1 1) into 1 7.723 * [backup-simplify]: Simplify (* 0 1) into 0 7.723 * [taylor]: Taking taylor expansion of 0 in re 7.723 * [backup-simplify]: Simplify 0 into 0 7.723 * [backup-simplify]: Simplify 0 into 0 7.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.726 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 1)) into (- +nan.0) 7.726 * [taylor]: Taking taylor expansion of (- +nan.0) in re 7.726 * [taylor]: Taking taylor expansion of +nan.0 in re 7.726 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.726 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.727 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.727 * [backup-simplify]: Simplify 0 into 0 7.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.728 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 7.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 7.729 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0))) 7.731 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* (* +nan.0 (+ (/ 1 re) (- +nan.0))) 1))) into (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))) 7.731 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))) in re 7.731 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 re)) (- +nan.0)) in re 7.731 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 re)) in re 7.731 * [taylor]: Taking taylor expansion of +nan.0 in re 7.731 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.731 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.731 * [taylor]: Taking taylor expansion of re in re 7.731 * [backup-simplify]: Simplify 0 into 0 7.731 * [backup-simplify]: Simplify 1 into 1 7.731 * [backup-simplify]: Simplify (/ 1 1) into 1 7.731 * [taylor]: Taking taylor expansion of (- +nan.0) in re 7.731 * [taylor]: Taking taylor expansion of +nan.0 in re 7.731 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.733 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 7.733 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.734 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 7.735 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 7.735 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.735 * [backup-simplify]: Simplify (- 0) into 0 7.735 * [backup-simplify]: Simplify 0 into 0 7.735 * [backup-simplify]: Simplify 0 into 0 7.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.736 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 7.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.738 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 7.740 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 7.740 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 7.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 7.742 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 re) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 7.744 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* (* +nan.0 (+ (/ 1 re) (- +nan.0))) 0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 1)))) into (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) 7.744 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) in re 7.744 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) in re 7.744 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow re 2))) in re 7.744 * [taylor]: Taking taylor expansion of +nan.0 in re 7.744 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.744 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.744 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.744 * [taylor]: Taking taylor expansion of re in re 7.744 * [backup-simplify]: Simplify 0 into 0 7.744 * [backup-simplify]: Simplify 1 into 1 7.745 * [backup-simplify]: Simplify (* 1 1) into 1 7.745 * [backup-simplify]: Simplify (/ 1 1) into 1 7.745 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))) in re 7.745 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 re)) (- +nan.0)) in re 7.745 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 re)) in re 7.745 * [taylor]: Taking taylor expansion of +nan.0 in re 7.745 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.745 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.745 * [taylor]: Taking taylor expansion of re in re 7.745 * [backup-simplify]: Simplify 0 into 0 7.745 * [backup-simplify]: Simplify 1 into 1 7.746 * [backup-simplify]: Simplify (/ 1 1) into 1 7.746 * [taylor]: Taking taylor expansion of (- +nan.0) in re 7.746 * [taylor]: Taking taylor expansion of +nan.0 in re 7.746 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.747 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.750 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 7.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.752 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 7.752 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.753 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 7.754 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 7.755 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 7.755 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 7.756 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.757 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 im)) 2)) (+ (* (- +nan.0) (* 1 (/ 1 im))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 im)) (- +nan.0))))) 7.758 * [backup-simplify]: Simplify (/ (/ 1 (- im)) (sqrt (+ (/ 1 (- re)) (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))))) into (* -1 (* (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) (/ 1 im))) 7.758 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) (/ 1 im))) in (im re) around 0 7.758 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) (/ 1 im))) in re 7.758 * [taylor]: Taking taylor expansion of -1 in re 7.758 * [backup-simplify]: Simplify -1 into -1 7.758 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) (/ 1 im)) in re 7.758 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 7.758 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 7.758 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 7.758 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.758 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.758 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.758 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.758 * [taylor]: Taking taylor expansion of im in re 7.758 * [backup-simplify]: Simplify im into im 7.758 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.759 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.759 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.759 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.759 * [taylor]: Taking taylor expansion of re in re 7.759 * [backup-simplify]: Simplify 0 into 0 7.759 * [backup-simplify]: Simplify 1 into 1 7.759 * [backup-simplify]: Simplify (* 1 1) into 1 7.759 * [backup-simplify]: Simplify (/ 1 1) into 1 7.760 * [backup-simplify]: Simplify (+ 0 1) into 1 7.760 * [backup-simplify]: Simplify (sqrt 1) into 1 7.761 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.762 * [backup-simplify]: Simplify (+ 0 0) into 0 7.763 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.763 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.763 * [taylor]: Taking taylor expansion of re in re 7.763 * [backup-simplify]: Simplify 0 into 0 7.763 * [backup-simplify]: Simplify 1 into 1 7.764 * [backup-simplify]: Simplify (/ 1 1) into 1 7.764 * [backup-simplify]: Simplify (- 1) into -1 7.764 * [backup-simplify]: Simplify (+ 1 -1) into 0 7.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.765 * [backup-simplify]: Simplify (- 0) into 0 7.766 * [backup-simplify]: Simplify (+ 0 0) into 0 7.767 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.768 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 7.769 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.770 * [backup-simplify]: Simplify (- 0) into 0 7.771 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 7.771 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2)) 7.771 * [backup-simplify]: Simplify (sqrt 0) into 0 7.772 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2)) 7.772 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.772 * [taylor]: Taking taylor expansion of im in re 7.772 * [backup-simplify]: Simplify im into im 7.772 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 7.772 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) (/ 1 im))) in im 7.772 * [taylor]: Taking taylor expansion of -1 in im 7.772 * [backup-simplify]: Simplify -1 into -1 7.772 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) (/ 1 im)) in im 7.772 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 7.772 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 7.772 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 7.772 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 7.772 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 7.772 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.773 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.773 * [taylor]: Taking taylor expansion of im in im 7.773 * [backup-simplify]: Simplify 0 into 0 7.773 * [backup-simplify]: Simplify 1 into 1 7.773 * [backup-simplify]: Simplify (* 1 1) into 1 7.773 * [backup-simplify]: Simplify (/ 1 1) into 1 7.773 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.773 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.773 * [taylor]: Taking taylor expansion of re in im 7.774 * [backup-simplify]: Simplify re into re 7.774 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.774 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.774 * [backup-simplify]: Simplify (+ 1 0) into 1 7.775 * [backup-simplify]: Simplify (sqrt 1) into 1 7.775 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.776 * [backup-simplify]: Simplify (+ 0 0) into 0 7.777 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.777 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.777 * [taylor]: Taking taylor expansion of re in im 7.777 * [backup-simplify]: Simplify re into re 7.777 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.778 * [backup-simplify]: Simplify (+ 1 0) into 1 7.778 * [backup-simplify]: Simplify (/ 1 1) into 1 7.778 * [backup-simplify]: Simplify (sqrt 0) into 0 7.780 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.780 * [taylor]: Taking taylor expansion of (/ 1 im) in im 7.780 * [taylor]: Taking taylor expansion of im in im 7.780 * [backup-simplify]: Simplify 0 into 0 7.780 * [backup-simplify]: Simplify 1 into 1 7.780 * [backup-simplify]: Simplify (/ 1 1) into 1 7.780 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) (/ 1 im))) in im 7.780 * [taylor]: Taking taylor expansion of -1 in im 7.780 * [backup-simplify]: Simplify -1 into -1 7.780 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) (/ 1 im)) in im 7.781 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 7.781 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 7.781 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 7.781 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 7.781 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 7.781 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.781 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.781 * [taylor]: Taking taylor expansion of im in im 7.781 * [backup-simplify]: Simplify 0 into 0 7.781 * [backup-simplify]: Simplify 1 into 1 7.781 * [backup-simplify]: Simplify (* 1 1) into 1 7.782 * [backup-simplify]: Simplify (/ 1 1) into 1 7.782 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.782 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.782 * [taylor]: Taking taylor expansion of re in im 7.782 * [backup-simplify]: Simplify re into re 7.782 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.782 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.782 * [backup-simplify]: Simplify (+ 1 0) into 1 7.783 * [backup-simplify]: Simplify (sqrt 1) into 1 7.783 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.785 * [backup-simplify]: Simplify (+ 0 0) into 0 7.785 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.785 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.785 * [taylor]: Taking taylor expansion of re in im 7.785 * [backup-simplify]: Simplify re into re 7.785 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.786 * [backup-simplify]: Simplify (+ 1 0) into 1 7.786 * [backup-simplify]: Simplify (/ 1 1) into 1 7.787 * [backup-simplify]: Simplify (sqrt 0) into 0 7.788 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.788 * [taylor]: Taking taylor expansion of (/ 1 im) in im 7.788 * [taylor]: Taking taylor expansion of im in im 7.788 * [backup-simplify]: Simplify 0 into 0 7.788 * [backup-simplify]: Simplify 1 into 1 7.788 * [backup-simplify]: Simplify (/ 1 1) into 1 7.789 * [backup-simplify]: Simplify (* 0 1) into 0 7.789 * [backup-simplify]: Simplify (* -1 0) into 0 7.789 * [taylor]: Taking taylor expansion of 0 in re 7.789 * [backup-simplify]: Simplify 0 into 0 7.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.792 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 1)) into (- +nan.0) 7.794 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (* 0 0)) into (- +nan.0) 7.794 * [taylor]: Taking taylor expansion of (- +nan.0) in re 7.794 * [taylor]: Taking taylor expansion of +nan.0 in re 7.794 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.794 * [backup-simplify]: Simplify 0 into 0 7.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.795 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 7.795 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 7.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 7.796 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0)) 7.797 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* (* +nan.0 (- (/ 1 re) +nan.0)) 1))) into (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))) 7.799 * [backup-simplify]: Simplify (+ (* -1 (- (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) (+ (* 0 (- +nan.0)) (* 0 0))) into (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))) 7.799 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))) in re 7.799 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 re)) (- +nan.0)) in re 7.799 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 re)) in re 7.799 * [taylor]: Taking taylor expansion of +nan.0 in re 7.799 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.799 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.799 * [taylor]: Taking taylor expansion of re in re 7.799 * [backup-simplify]: Simplify 0 into 0 7.799 * [backup-simplify]: Simplify 1 into 1 7.799 * [backup-simplify]: Simplify (/ 1 1) into 1 7.799 * [taylor]: Taking taylor expansion of (- +nan.0) in re 7.799 * [taylor]: Taking taylor expansion of +nan.0 in re 7.799 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.800 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 7.800 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 7.801 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 7.801 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.802 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.802 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.802 * [backup-simplify]: Simplify 0 into 0 7.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.806 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 7.807 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 7.807 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 7.808 * [backup-simplify]: Simplify (- 0) into 0 7.808 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 7.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 7.817 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 re) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 7.820 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* (* +nan.0 (- (/ 1 re) +nan.0)) 0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 1)))) into (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) 7.822 * [backup-simplify]: Simplify (+ (* -1 (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0)))))) (+ (* 0 (- (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) 7.822 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) in re 7.822 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) in re 7.822 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow re 2))) in re 7.822 * [taylor]: Taking taylor expansion of +nan.0 in re 7.822 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.822 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.822 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.822 * [taylor]: Taking taylor expansion of re in re 7.822 * [backup-simplify]: Simplify 0 into 0 7.822 * [backup-simplify]: Simplify 1 into 1 7.823 * [backup-simplify]: Simplify (* 1 1) into 1 7.823 * [backup-simplify]: Simplify (/ 1 1) into 1 7.823 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))) in re 7.823 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 re)) (- +nan.0)) in re 7.823 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 re)) in re 7.823 * [taylor]: Taking taylor expansion of +nan.0 in re 7.823 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.823 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.823 * [taylor]: Taking taylor expansion of re in re 7.823 * [backup-simplify]: Simplify 0 into 0 7.823 * [backup-simplify]: Simplify 1 into 1 7.824 * [backup-simplify]: Simplify (/ 1 1) into 1 7.824 * [taylor]: Taking taylor expansion of (- +nan.0) in re 7.824 * [taylor]: Taking taylor expansion of +nan.0 in re 7.824 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.826 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 7.826 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 7.827 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 7.828 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 7.829 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 7.829 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 7.830 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.831 * [backup-simplify]: Simplify (+ (* (- +nan.0) (* (/ 1 (/ 1 (- re))) (pow (/ 1 (- im)) 2))) (+ (- +nan.0) (* (- +nan.0) (* (/ 1 (/ 1 (- re))) (/ 1 (- im)))))) into (- (+ (* +nan.0 (/ re (pow im 2))) (- (+ (* +nan.0 (/ re im)) (- +nan.0))))) 7.832 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2 1) 7.832 * [backup-simplify]: Simplify (+ re (sqrt (+ (* re re) (* im im)))) into (+ re (sqrt (+ (pow re 2) (pow im 2)))) 7.832 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 7.832 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 7.832 * [taylor]: Taking taylor expansion of re in im 7.832 * [backup-simplify]: Simplify re into re 7.832 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 7.832 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 7.832 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.832 * [taylor]: Taking taylor expansion of re in im 7.832 * [backup-simplify]: Simplify re into re 7.832 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.832 * [taylor]: Taking taylor expansion of im in im 7.832 * [backup-simplify]: Simplify 0 into 0 7.832 * [backup-simplify]: Simplify 1 into 1 7.832 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.833 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 7.833 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 7.833 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 7.833 * [backup-simplify]: Simplify (+ 0 0) into 0 7.833 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 7.833 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 7.833 * [taylor]: Taking taylor expansion of re in re 7.834 * [backup-simplify]: Simplify 0 into 0 7.834 * [backup-simplify]: Simplify 1 into 1 7.834 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 7.834 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 7.834 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.834 * [taylor]: Taking taylor expansion of re in re 7.834 * [backup-simplify]: Simplify 0 into 0 7.834 * [backup-simplify]: Simplify 1 into 1 7.834 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.834 * [taylor]: Taking taylor expansion of im in re 7.834 * [backup-simplify]: Simplify im into im 7.834 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.834 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 7.834 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.834 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.835 * [backup-simplify]: Simplify (+ 0 0) into 0 7.835 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.835 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 7.835 * [taylor]: Taking taylor expansion of re in re 7.835 * [backup-simplify]: Simplify 0 into 0 7.835 * [backup-simplify]: Simplify 1 into 1 7.835 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 7.835 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 7.835 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.835 * [taylor]: Taking taylor expansion of re in re 7.835 * [backup-simplify]: Simplify 0 into 0 7.835 * [backup-simplify]: Simplify 1 into 1 7.835 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.835 * [taylor]: Taking taylor expansion of im in re 7.835 * [backup-simplify]: Simplify im into im 7.835 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.836 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 7.836 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.836 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.836 * [backup-simplify]: Simplify (+ 0 0) into 0 7.836 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.836 * [backup-simplify]: Simplify (+ 0 im) into im 7.836 * [taylor]: Taking taylor expansion of im in im 7.837 * [backup-simplify]: Simplify 0 into 0 7.837 * [backup-simplify]: Simplify 1 into 1 7.837 * [backup-simplify]: Simplify 0 into 0 7.837 * [backup-simplify]: Simplify (+ 1 0) into 1 7.837 * [taylor]: Taking taylor expansion of 1 in im 7.837 * [backup-simplify]: Simplify 1 into 1 7.837 * [backup-simplify]: Simplify 1 into 1 7.837 * [backup-simplify]: Simplify 1 into 1 7.838 * [backup-simplify]: Simplify (* 1 1) into 1 7.838 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 7.838 * [backup-simplify]: Simplify (+ 1 0) into 1 7.839 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 7.839 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 7.839 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 7.840 * [taylor]: Taking taylor expansion of 1/2 in im 7.840 * [backup-simplify]: Simplify 1/2 into 1/2 7.840 * [taylor]: Taking taylor expansion of (/ 1 im) in im 7.840 * [taylor]: Taking taylor expansion of im in im 7.840 * [backup-simplify]: Simplify 0 into 0 7.840 * [backup-simplify]: Simplify 1 into 1 7.840 * [backup-simplify]: Simplify (/ 1 1) into 1 7.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.842 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.842 * [backup-simplify]: Simplify 0 into 0 7.842 * [backup-simplify]: Simplify 0 into 0 7.842 * [backup-simplify]: Simplify 0 into 0 7.842 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.843 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 7.843 * [backup-simplify]: Simplify (+ 0 0) into 0 7.844 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 7.844 * [backup-simplify]: Simplify (+ 0 0) into 0 7.844 * [taylor]: Taking taylor expansion of 0 in im 7.844 * [backup-simplify]: Simplify 0 into 0 7.844 * [backup-simplify]: Simplify 0 into 0 7.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.846 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 7.846 * [backup-simplify]: Simplify 0 into 0 7.846 * [backup-simplify]: Simplify 0 into 0 7.846 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 7.847 * [backup-simplify]: Simplify (+ (/ 1 re) (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 7.847 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 7.847 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 7.847 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.847 * [taylor]: Taking taylor expansion of re in im 7.847 * [backup-simplify]: Simplify re into re 7.847 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.847 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 7.847 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 7.847 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.847 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.847 * [taylor]: Taking taylor expansion of im in im 7.847 * [backup-simplify]: Simplify 0 into 0 7.847 * [backup-simplify]: Simplify 1 into 1 7.848 * [backup-simplify]: Simplify (* 1 1) into 1 7.848 * [backup-simplify]: Simplify (/ 1 1) into 1 7.848 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.848 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.848 * [taylor]: Taking taylor expansion of re in im 7.848 * [backup-simplify]: Simplify re into re 7.848 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.848 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.849 * [backup-simplify]: Simplify (+ 1 0) into 1 7.849 * [backup-simplify]: Simplify (sqrt 1) into 1 7.850 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.851 * [backup-simplify]: Simplify (+ 0 0) into 0 7.852 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.852 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 7.852 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.852 * [taylor]: Taking taylor expansion of re in re 7.852 * [backup-simplify]: Simplify 0 into 0 7.852 * [backup-simplify]: Simplify 1 into 1 7.852 * [backup-simplify]: Simplify (/ 1 1) into 1 7.852 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.852 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.852 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.852 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.852 * [taylor]: Taking taylor expansion of im in re 7.852 * [backup-simplify]: Simplify im into im 7.853 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.853 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.853 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.853 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.853 * [taylor]: Taking taylor expansion of re in re 7.853 * [backup-simplify]: Simplify 0 into 0 7.853 * [backup-simplify]: Simplify 1 into 1 7.853 * [backup-simplify]: Simplify (* 1 1) into 1 7.854 * [backup-simplify]: Simplify (/ 1 1) into 1 7.854 * [backup-simplify]: Simplify (+ 0 1) into 1 7.854 * [backup-simplify]: Simplify (sqrt 1) into 1 7.855 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.856 * [backup-simplify]: Simplify (+ 0 0) into 0 7.857 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.857 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 7.857 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.857 * [taylor]: Taking taylor expansion of re in re 7.857 * [backup-simplify]: Simplify 0 into 0 7.857 * [backup-simplify]: Simplify 1 into 1 7.858 * [backup-simplify]: Simplify (/ 1 1) into 1 7.858 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.858 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.858 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.858 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.858 * [taylor]: Taking taylor expansion of im in re 7.858 * [backup-simplify]: Simplify im into im 7.858 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.858 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.858 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.858 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.858 * [taylor]: Taking taylor expansion of re in re 7.858 * [backup-simplify]: Simplify 0 into 0 7.858 * [backup-simplify]: Simplify 1 into 1 7.859 * [backup-simplify]: Simplify (* 1 1) into 1 7.859 * [backup-simplify]: Simplify (/ 1 1) into 1 7.859 * [backup-simplify]: Simplify (+ 0 1) into 1 7.860 * [backup-simplify]: Simplify (sqrt 1) into 1 7.860 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.862 * [backup-simplify]: Simplify (+ 0 0) into 0 7.862 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.863 * [backup-simplify]: Simplify (+ 1 1) into 2 7.863 * [taylor]: Taking taylor expansion of 2 in im 7.863 * [backup-simplify]: Simplify 2 into 2 7.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.864 * [backup-simplify]: Simplify (+ 0 0) into 0 7.864 * [taylor]: Taking taylor expansion of 0 in im 7.864 * [backup-simplify]: Simplify 0 into 0 7.864 * [backup-simplify]: Simplify 2 into 2 7.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.867 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 7.868 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.869 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 7.869 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 7.869 * [taylor]: Taking taylor expansion of 1/2 in im 7.869 * [backup-simplify]: Simplify 1/2 into 1/2 7.869 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.869 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.869 * [taylor]: Taking taylor expansion of im in im 7.869 * [backup-simplify]: Simplify 0 into 0 7.869 * [backup-simplify]: Simplify 1 into 1 7.869 * [backup-simplify]: Simplify (* 1 1) into 1 7.870 * [backup-simplify]: Simplify (/ 1 1) into 1 7.870 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.872 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.872 * [backup-simplify]: Simplify 0 into 0 7.872 * [backup-simplify]: Simplify 0 into 0 7.872 * [backup-simplify]: Simplify 0 into 0 7.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.873 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.874 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 7.875 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.876 * [backup-simplify]: Simplify (+ 0 0) into 0 7.877 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.877 * [backup-simplify]: Simplify (+ 0 0) into 0 7.877 * [taylor]: Taking taylor expansion of 0 in im 7.877 * [backup-simplify]: Simplify 0 into 0 7.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.880 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 7.880 * [backup-simplify]: Simplify 0 into 0 7.880 * [backup-simplify]: Simplify 0 into 0 7.880 * [backup-simplify]: Simplify 0 into 0 7.880 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 7.881 * [backup-simplify]: Simplify (+ (/ 1 (- re)) (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 7.881 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 7.881 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 7.881 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 7.881 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 7.881 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.881 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.881 * [taylor]: Taking taylor expansion of im in im 7.881 * [backup-simplify]: Simplify 0 into 0 7.881 * [backup-simplify]: Simplify 1 into 1 7.881 * [backup-simplify]: Simplify (* 1 1) into 1 7.882 * [backup-simplify]: Simplify (/ 1 1) into 1 7.882 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.882 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.882 * [taylor]: Taking taylor expansion of re in im 7.882 * [backup-simplify]: Simplify re into re 7.882 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.882 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.883 * [backup-simplify]: Simplify (+ 1 0) into 1 7.883 * [backup-simplify]: Simplify (sqrt 1) into 1 7.884 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.885 * [backup-simplify]: Simplify (+ 0 0) into 0 7.885 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.886 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.886 * [taylor]: Taking taylor expansion of re in im 7.886 * [backup-simplify]: Simplify re into re 7.886 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.886 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 7.886 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.886 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.886 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.886 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.886 * [taylor]: Taking taylor expansion of im in re 7.886 * [backup-simplify]: Simplify im into im 7.886 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.886 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.886 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.886 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.886 * [taylor]: Taking taylor expansion of re in re 7.886 * [backup-simplify]: Simplify 0 into 0 7.886 * [backup-simplify]: Simplify 1 into 1 7.887 * [backup-simplify]: Simplify (* 1 1) into 1 7.887 * [backup-simplify]: Simplify (/ 1 1) into 1 7.888 * [backup-simplify]: Simplify (+ 0 1) into 1 7.888 * [backup-simplify]: Simplify (sqrt 1) into 1 7.889 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.890 * [backup-simplify]: Simplify (+ 0 0) into 0 7.890 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.890 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.890 * [taylor]: Taking taylor expansion of re in re 7.890 * [backup-simplify]: Simplify 0 into 0 7.890 * [backup-simplify]: Simplify 1 into 1 7.891 * [backup-simplify]: Simplify (/ 1 1) into 1 7.891 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 7.891 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.891 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.891 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.891 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.891 * [taylor]: Taking taylor expansion of im in re 7.891 * [backup-simplify]: Simplify im into im 7.891 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.891 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.891 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.891 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.891 * [taylor]: Taking taylor expansion of re in re 7.891 * [backup-simplify]: Simplify 0 into 0 7.891 * [backup-simplify]: Simplify 1 into 1 7.892 * [backup-simplify]: Simplify (* 1 1) into 1 7.892 * [backup-simplify]: Simplify (/ 1 1) into 1 7.893 * [backup-simplify]: Simplify (+ 0 1) into 1 7.893 * [backup-simplify]: Simplify (sqrt 1) into 1 7.894 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.895 * [backup-simplify]: Simplify (+ 0 0) into 0 7.895 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.895 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.895 * [taylor]: Taking taylor expansion of re in re 7.895 * [backup-simplify]: Simplify 0 into 0 7.896 * [backup-simplify]: Simplify 1 into 1 7.896 * [backup-simplify]: Simplify (/ 1 1) into 1 7.896 * [backup-simplify]: Simplify (- 1) into -1 7.897 * [backup-simplify]: Simplify (+ 1 -1) into 0 7.897 * [taylor]: Taking taylor expansion of 0 in im 7.897 * [backup-simplify]: Simplify 0 into 0 7.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.898 * [backup-simplify]: Simplify (- 0) into 0 7.898 * [backup-simplify]: Simplify (+ 0 0) into 0 7.898 * [taylor]: Taking taylor expansion of 0 in im 7.898 * [backup-simplify]: Simplify 0 into 0 7.898 * [backup-simplify]: Simplify 0 into 0 7.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.900 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 7.902 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.903 * [backup-simplify]: Simplify (- 0) into 0 7.903 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 7.903 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 7.903 * [taylor]: Taking taylor expansion of 1/2 in im 7.903 * [backup-simplify]: Simplify 1/2 into 1/2 7.903 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.903 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.903 * [taylor]: Taking taylor expansion of im in im 7.903 * [backup-simplify]: Simplify 0 into 0 7.903 * [backup-simplify]: Simplify 1 into 1 7.904 * [backup-simplify]: Simplify (* 1 1) into 1 7.904 * [backup-simplify]: Simplify (/ 1 1) into 1 7.905 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.906 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.906 * [backup-simplify]: Simplify 0 into 0 7.906 * [backup-simplify]: Simplify 0 into 0 7.906 * [backup-simplify]: Simplify 0 into 0 7.907 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.907 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 7.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.909 * [backup-simplify]: Simplify (+ 0 0) into 0 7.910 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.911 * [backup-simplify]: Simplify (- 0) into 0 7.912 * [backup-simplify]: Simplify (+ 0 0) into 0 7.912 * [taylor]: Taking taylor expansion of 0 in im 7.912 * [backup-simplify]: Simplify 0 into 0 7.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.914 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 7.915 * [backup-simplify]: Simplify 0 into 0 7.915 * [backup-simplify]: Simplify 0 into 0 7.915 * [backup-simplify]: Simplify 0 into 0 7.915 * * * [progress]: simplifying candidates 7.918 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* (sqrt 2.0) (fabs (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (+ (log (sqrt 2.0)) (log (fabs (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))))) (log (* (sqrt 2.0) (fabs (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))))) (exp (* (sqrt 2.0) (fabs (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))))) (* (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* (fabs (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (fabs (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (fabs (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))))) (* (cbrt (* (sqrt 2.0) (fabs (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))))) (cbrt (* (sqrt 2.0) (fabs (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))))) (cbrt (* (sqrt 2.0) (fabs (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))))) (* (* (* (sqrt 2.0) (fabs (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (* (sqrt 2.0) (fabs (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))))) (* (sqrt 2.0) (fabs (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))))) (sqrt (* (sqrt 2.0) (fabs (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))))) (sqrt (* (sqrt 2.0) (fabs (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))))) (* (sqrt (sqrt 2.0)) (sqrt (fabs (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))))) (* (sqrt (sqrt 2.0)) (sqrt (fabs (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))))) (* (sqrt (sqrt 2.0)) (sqrt (fabs (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))))) (* (sqrt (sqrt 2.0)) (sqrt (fabs (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))))) (* (sqrt 2.0) (* (cbrt (fabs (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (cbrt (fabs (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))))) (* (sqrt 2.0) (sqrt (fabs (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))))) (* (sqrt 2.0) 1) (* (cbrt (sqrt 2.0)) (fabs (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (* (sqrt (cbrt 2.0)) (fabs (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (* (sqrt (sqrt 2.0)) (fabs (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (* (sqrt 2.0) (fabs (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (* (sqrt (sqrt 2.0)) (fabs (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (* (sqrt 2.0) (fabs (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (- (log im) (log (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (log (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (exp (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ (* (* im im) im) (* (* (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (* (cbrt (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (cbrt (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (cbrt (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (* (* (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (sqrt (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (sqrt (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (- im) (- (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ (* (cbrt im) (cbrt im)) (* (cbrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (/ (cbrt im) (cbrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ (* (cbrt im) (cbrt im)) (sqrt (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im)))))))) (/ (cbrt im) (sqrt (cbrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ (* (cbrt im) (cbrt im)) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ (cbrt im) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ (* (cbrt im) (cbrt im)) (sqrt 1)) (/ (cbrt im) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ (* (cbrt im) (cbrt im)) (sqrt 1)) (/ (cbrt im) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ (* (cbrt im) (cbrt im)) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ (cbrt im) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ (* (cbrt im) (cbrt im)) 1) (/ (cbrt im) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ (sqrt im) (* (cbrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (/ (sqrt im) (cbrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ (sqrt im) (sqrt (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im)))))))) (/ (sqrt im) (sqrt (cbrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ (sqrt im) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ (sqrt im) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ (sqrt im) (sqrt 1)) (/ (sqrt im) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ (sqrt im) (sqrt 1)) (/ (sqrt im) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ (sqrt im) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ (sqrt im) (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ (sqrt im) 1) (/ (sqrt im) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ 1 (* (cbrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (/ im (cbrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ 1 (sqrt (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im)))))))) (/ im (sqrt (cbrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ 1 (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ im (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ 1 (sqrt 1)) (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ 1 (sqrt 1)) (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ 1 (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ im (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ 1 1) (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ 1 (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ (sqrt (+ re (sqrt (+ (* re re) (* im im))))) im) (/ im (* (cbrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ re (sqrt (+ (* re re) (* im im)))))))) (/ im (sqrt (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im)))))))) (/ im (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ im (sqrt 1)) (/ im (sqrt 1)) (/ im (sqrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ im 1) (/ (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt im)) (/ (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt im)) (/ (sqrt (+ re (sqrt (+ (* re re) (* im im))))) im) (/ im (sqrt (+ (pow re 3) (pow (sqrt (+ (* re re) (* im im))) 3)))) (/ im (sqrt (- (* re re) (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))))) (* (exp re) (exp (sqrt (+ (* re re) (* im im))))) (log (+ re (sqrt (+ (* re re) (* im im))))) (exp (+ re (sqrt (+ (* re re) (* im im))))) (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im)))))) (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (* (* (+ re (sqrt (+ (* re re) (* im im)))) (+ re (sqrt (+ (* re re) (* im im))))) (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (+ (pow re 3) (pow (sqrt (+ (* re re) (* im im))) 3)) (+ (* re re) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re (sqrt (+ (* re re) (* im im)))))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))) (- re (sqrt (+ (* re re) (* im im)))) (+ re (sqrt (+ (* re re) (* im im)))) im re (* -1 re) (* (sqrt 2.0) (fabs (* im (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))))) (* (sqrt 2.0) (fabs (* im (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))))) (* (sqrt 2.0) (fabs (* im (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))))) (- (+ (* +nan.0 (/ (pow im 3) (sqrt 1/2))) (- (+ (* +nan.0 (* (sqrt 1/2) im)) (- (* +nan.0 (* re (* (sqrt 1/2) im)))))))) (- (+ (* +nan.0 (/ 1 (pow im 2))) (- (+ (* +nan.0 (/ 1 im)) (- +nan.0))))) (- (+ (* +nan.0 (/ re (pow im 2))) (- (+ (* +nan.0 (/ re im)) (- +nan.0))))) (+ re im) (* 2 re) 0 8.671 * * * [progress]: adding candidates to table 9.128 * [progress]: [Phase 3 of 3] Extracting. 9.128 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 9.131 * * * [regime-changes]: Trying 2 branch expressions: (im re) 9.132 * * * * [regimes]: Trying to branch on im from (# # # # # # # # #) 9.267 * * * * [regimes]: Trying to branch on re from (# # # # # # # # #) 9.368 * * * [regime]: Found split indices: #