1.359 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.098 * * * [progress]: [2/2] Setting up program. 0.103 * [progress]: [Phase 2 of 3] Improving. 0.103 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.105 * [simplify]: Simplifying: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.105 * * [simplify]: iteration 0: 12 enodes 0.148 * * [simplify]: iteration 1: 17 enodes 0.151 * * [simplify]: iteration 2: 24 enodes 0.157 * * [simplify]: iteration 3: 30 enodes 0.163 * * [simplify]: iteration 4: 35 enodes 0.168 * * [simplify]: iteration complete: 35 enodes 0.168 * * [simplify]: Extracting #0: cost 1 inf + 0 0.169 * * [simplify]: Extracting #1: cost 3 inf + 0 0.169 * * [simplify]: Extracting #2: cost 3 inf + 1 0.169 * * [simplify]: Extracting #3: cost 8 inf + 1 0.169 * * [simplify]: Extracting #4: cost 11 inf + 2 0.169 * * [simplify]: Extracting #5: cost 7 inf + 209 0.169 * * [simplify]: Extracting #6: cost 9 inf + 209 0.169 * * [simplify]: Extracting #7: cost 9 inf + 250 0.169 * * [simplify]: Extracting #8: cost 7 inf + 292 0.170 * * [simplify]: Extracting #9: cost 5 inf + 576 0.170 * * [simplify]: Extracting #10: cost 2 inf + 1224 0.170 * * [simplify]: Extracting #11: cost 0 inf + 1831 0.170 * [simplify]: Simplified to: (* 0.5 (sqrt (* (- (sqrt (+ (* re re) (* im im))) re) 2.0))) 0.172 * * [progress]: iteration 1 / 4 0.173 * * * [progress]: picking best candidate 0.176 * * * * [pick]: Picked # 0.176 * * * [progress]: localizing error 0.206 * * * [progress]: generating rewritten candidates 0.208 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.222 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.296 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.341 * * * [progress]: generating series expansions 0.341 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.349 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 0.349 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 0.351 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.351 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.351 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.351 * [taylor]: Taking taylor expansion of im in im 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify 1 into 1 0.351 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.351 * [taylor]: Taking taylor expansion of re in im 0.351 * [backup-simplify]: Simplify re into re 0.352 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.353 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.353 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.353 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.354 * [backup-simplify]: Simplify (+ 0 0) into 0 0.354 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.354 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.354 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.354 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.354 * [taylor]: Taking taylor expansion of im in re 0.354 * [backup-simplify]: Simplify im into im 0.354 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.354 * [taylor]: Taking taylor expansion of re in re 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify 1 into 1 0.354 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.354 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.354 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.355 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.355 * [backup-simplify]: Simplify (+ 0 0) into 0 0.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.355 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.355 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.355 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.355 * [taylor]: Taking taylor expansion of im in re 0.355 * [backup-simplify]: Simplify im into im 0.355 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.355 * [taylor]: Taking taylor expansion of re in re 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify 1 into 1 0.355 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.356 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.356 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.356 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.356 * [backup-simplify]: Simplify (+ 0 0) into 0 0.356 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 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 0 into 0 0.357 * [taylor]: Taking taylor expansion of 0 in im 0.357 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify 1 into 1 0.358 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.359 * [backup-simplify]: Simplify (* 1 1) into 1 0.359 * [backup-simplify]: Simplify (+ 0 1) into 1 0.360 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.360 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.360 * [taylor]: Taking taylor expansion of 1/2 in im 0.360 * [backup-simplify]: Simplify 1/2 into 1/2 0.360 * [taylor]: Taking taylor expansion of im in im 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify 1 into 1 0.361 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.362 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.364 * [backup-simplify]: Simplify (+ 0 0) into 0 0.364 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.364 * [taylor]: Taking taylor expansion of 0 in im 0.364 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.366 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 0.366 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 0.366 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.366 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.366 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.366 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.366 * [taylor]: Taking taylor expansion of re in im 0.366 * [backup-simplify]: Simplify re into re 0.366 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.366 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.366 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.366 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.366 * [taylor]: Taking taylor expansion of im in im 0.366 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify 1 into 1 0.366 * [backup-simplify]: Simplify (* 1 1) into 1 0.367 * [backup-simplify]: Simplify (/ 1 1) into 1 0.367 * [backup-simplify]: Simplify (+ 0 1) into 1 0.367 * [backup-simplify]: Simplify (sqrt 1) into 1 0.368 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.368 * [backup-simplify]: Simplify (+ 0 0) into 0 0.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.369 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.369 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.369 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.369 * [taylor]: Taking taylor expansion of re in re 0.369 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify 1 into 1 0.369 * [backup-simplify]: Simplify (* 1 1) into 1 0.369 * [backup-simplify]: Simplify (/ 1 1) into 1 0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.369 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.369 * [taylor]: Taking taylor expansion of im in re 0.369 * [backup-simplify]: Simplify im into im 0.370 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.370 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.370 * [backup-simplify]: Simplify (+ 1 0) into 1 0.370 * [backup-simplify]: Simplify (sqrt 1) into 1 0.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.371 * [backup-simplify]: Simplify (+ 0 0) into 0 0.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.372 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.372 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.372 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.372 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.372 * [taylor]: Taking taylor expansion of re in re 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 1 into 1 0.372 * [backup-simplify]: Simplify (* 1 1) into 1 0.372 * [backup-simplify]: Simplify (/ 1 1) into 1 0.372 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.372 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.372 * [taylor]: Taking taylor expansion of im in re 0.372 * [backup-simplify]: Simplify im into im 0.372 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.372 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.373 * [backup-simplify]: Simplify (+ 1 0) into 1 0.373 * [backup-simplify]: Simplify (sqrt 1) into 1 0.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.374 * [backup-simplify]: Simplify (+ 0 0) into 0 0.374 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.374 * [taylor]: Taking taylor expansion of 1 in im 0.374 * [backup-simplify]: Simplify 1 into 1 0.374 * [taylor]: Taking taylor expansion of 0 in im 0.374 * [backup-simplify]: Simplify 0 into 0 0.374 * [backup-simplify]: Simplify 1 into 1 0.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.376 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.377 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.377 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.377 * [taylor]: Taking taylor expansion of 1/2 in im 0.377 * [backup-simplify]: Simplify 1/2 into 1/2 0.377 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.377 * [taylor]: Taking taylor expansion of im in im 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 1 into 1 0.377 * [backup-simplify]: Simplify (* 1 1) into 1 0.377 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.378 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.379 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.380 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.380 * [backup-simplify]: Simplify (+ 0 0) into 0 0.380 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.380 * [taylor]: Taking taylor expansion of 0 in im 0.380 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.382 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 0.382 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 0.382 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.382 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.382 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.382 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.382 * [taylor]: Taking taylor expansion of re in im 0.382 * [backup-simplify]: Simplify re into re 0.382 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.382 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.382 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.382 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.382 * [taylor]: Taking taylor expansion of im in im 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify 1 into 1 0.382 * [backup-simplify]: Simplify (* 1 1) into 1 0.383 * [backup-simplify]: Simplify (/ 1 1) into 1 0.383 * [backup-simplify]: Simplify (+ 0 1) into 1 0.383 * [backup-simplify]: Simplify (sqrt 1) into 1 0.384 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.384 * [backup-simplify]: Simplify (+ 0 0) into 0 0.385 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.385 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.385 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.385 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.385 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.385 * [taylor]: Taking taylor expansion of re in re 0.385 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify 1 into 1 0.385 * [backup-simplify]: Simplify (* 1 1) into 1 0.385 * [backup-simplify]: Simplify (/ 1 1) into 1 0.385 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.385 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.385 * [taylor]: Taking taylor expansion of im in re 0.385 * [backup-simplify]: Simplify im into im 0.385 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.386 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.386 * [backup-simplify]: Simplify (+ 1 0) into 1 0.386 * [backup-simplify]: Simplify (sqrt 1) into 1 0.386 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.392 * [backup-simplify]: Simplify (+ 0 0) into 0 0.392 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.392 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.392 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.392 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.392 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.392 * [taylor]: Taking taylor expansion of re in re 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify 1 into 1 0.392 * [backup-simplify]: Simplify (* 1 1) into 1 0.393 * [backup-simplify]: Simplify (/ 1 1) into 1 0.393 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.393 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.393 * [taylor]: Taking taylor expansion of im in re 0.393 * [backup-simplify]: Simplify im into im 0.393 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.393 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.393 * [backup-simplify]: Simplify (+ 1 0) into 1 0.394 * [backup-simplify]: Simplify (sqrt 1) into 1 0.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.395 * [backup-simplify]: Simplify (+ 0 0) into 0 0.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.396 * [taylor]: Taking taylor expansion of 1 in im 0.396 * [backup-simplify]: Simplify 1 into 1 0.396 * [taylor]: Taking taylor expansion of 0 in im 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify 1 into 1 0.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.398 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.400 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.400 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.400 * [taylor]: Taking taylor expansion of 1/2 in im 0.400 * [backup-simplify]: Simplify 1/2 into 1/2 0.400 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.400 * [taylor]: Taking taylor expansion of im in im 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 0.401 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.401 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.403 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.405 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.405 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.406 * [backup-simplify]: Simplify (+ 0 0) into 0 0.406 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.406 * [taylor]: Taking taylor expansion of 0 in im 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.409 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.409 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.410 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re) 0.410 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0 0.410 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 0.410 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.410 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.410 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.410 * [taylor]: Taking taylor expansion of im in im 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify 1 into 1 0.410 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.410 * [taylor]: Taking taylor expansion of re in im 0.410 * [backup-simplify]: Simplify re into re 0.410 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.410 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.410 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.410 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.411 * [backup-simplify]: Simplify (+ 0 0) into 0 0.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.411 * [taylor]: Taking taylor expansion of re in im 0.411 * [backup-simplify]: Simplify re into re 0.411 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 0.411 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.411 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.411 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.411 * [taylor]: Taking taylor expansion of im in re 0.411 * [backup-simplify]: Simplify im into im 0.411 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.411 * [taylor]: Taking taylor expansion of re in re 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify 1 into 1 0.411 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.411 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.412 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.412 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.412 * [backup-simplify]: Simplify (+ 0 0) into 0 0.412 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.412 * [taylor]: Taking taylor expansion of re in re 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 1 into 1 0.413 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 0.413 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.413 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.413 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.413 * [taylor]: Taking taylor expansion of im in re 0.413 * [backup-simplify]: Simplify im into im 0.413 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.413 * [taylor]: Taking taylor expansion of re in re 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 1 into 1 0.413 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.413 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.413 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.413 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.414 * [backup-simplify]: Simplify (+ 0 0) into 0 0.414 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.414 * [taylor]: Taking taylor expansion of re in re 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify 1 into 1 0.414 * [backup-simplify]: Simplify (- 0) into 0 0.414 * [backup-simplify]: Simplify (+ im 0) into im 0.414 * [taylor]: Taking taylor expansion of im in im 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 1 into 1 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify (- 1) into -1 0.415 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.416 * [taylor]: Taking taylor expansion of -1 in im 0.416 * [backup-simplify]: Simplify -1 into -1 0.416 * [backup-simplify]: Simplify -1 into -1 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.417 * [backup-simplify]: Simplify (* 1 1) into 1 0.417 * [backup-simplify]: Simplify (+ 0 1) into 1 0.418 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.418 * [backup-simplify]: Simplify (- 0) into 0 0.418 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 0.418 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.418 * [taylor]: Taking taylor expansion of 1/2 in im 0.418 * [backup-simplify]: Simplify 1/2 into 1/2 0.418 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.418 * [taylor]: Taking taylor expansion of im in im 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 1 into 1 0.419 * [backup-simplify]: Simplify (/ 1 1) into 1 0.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.421 * [backup-simplify]: Simplify (+ (* 1/2 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 (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.423 * [backup-simplify]: Simplify (+ 0 0) into 0 0.423 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.423 * [backup-simplify]: Simplify (- 0) into 0 0.424 * [backup-simplify]: Simplify (+ 0 0) into 0 0.424 * [taylor]: Taking taylor expansion of 0 in im 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.426 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 0.427 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) 0.427 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 0.427 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 0.427 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.427 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.427 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.427 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.427 * [taylor]: Taking taylor expansion of re in im 0.427 * [backup-simplify]: Simplify re into re 0.427 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.427 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.427 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.427 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.427 * [taylor]: Taking taylor expansion of im in im 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify 1 into 1 0.428 * [backup-simplify]: Simplify (* 1 1) into 1 0.428 * [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 0.430 * [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) in im 0.432 * [taylor]: Taking taylor expansion of re in im 0.432 * [backup-simplify]: Simplify re into re 0.432 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.432 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.432 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.432 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.432 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.432 * [taylor]: Taking taylor expansion of (pow re 2) 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 0.433 * [backup-simplify]: Simplify (/ 1 1) into 1 0.433 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.433 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.433 * [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 * [backup-simplify]: Simplify (+ 1 0) into 1 0.434 * [backup-simplify]: Simplify (sqrt 1) into 1 0.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.436 * [backup-simplify]: Simplify (+ 0 0) into 0 0.436 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.436 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.436 * [taylor]: Taking taylor expansion of re in re 0.436 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify 1 into 1 0.437 * [backup-simplify]: Simplify (/ 1 1) into 1 0.437 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.437 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.437 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.437 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.437 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.437 * [taylor]: Taking taylor expansion of re in re 0.437 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify 1 into 1 0.437 * [backup-simplify]: Simplify (* 1 1) into 1 0.438 * [backup-simplify]: Simplify (/ 1 1) into 1 0.438 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.438 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.438 * [taylor]: Taking taylor expansion of im in re 0.438 * [backup-simplify]: Simplify im into im 0.438 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.438 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.438 * [backup-simplify]: Simplify (+ 1 0) into 1 0.439 * [backup-simplify]: Simplify (sqrt 1) into 1 0.439 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.441 * [backup-simplify]: Simplify (+ 0 0) into 0 0.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.441 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.441 * [taylor]: Taking taylor expansion of re in re 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify 1 into 1 0.441 * [backup-simplify]: Simplify (/ 1 1) into 1 0.442 * [backup-simplify]: Simplify (- 1) into -1 0.442 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.442 * [taylor]: Taking taylor expansion of 0 in im 0.442 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.443 * [backup-simplify]: Simplify (- 0) into 0 0.443 * [backup-simplify]: Simplify (+ 0 0) into 0 0.443 * [taylor]: Taking taylor expansion of 0 in im 0.443 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.444 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.445 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.446 * [backup-simplify]: Simplify (- 0) into 0 0.446 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.446 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.446 * [taylor]: Taking taylor expansion of 1/2 in im 0.446 * [backup-simplify]: Simplify 1/2 into 1/2 0.446 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.446 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.446 * [taylor]: Taking taylor expansion of im in im 0.446 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify 1 into 1 0.446 * [backup-simplify]: Simplify (* 1 1) into 1 0.446 * [backup-simplify]: Simplify (/ 1 1) into 1 0.447 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.448 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.448 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.449 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.449 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.450 * [backup-simplify]: Simplify (+ 0 0) into 0 0.450 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.451 * [backup-simplify]: Simplify (- 0) 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 0.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.453 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.453 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) 0.453 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 0.453 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 0.454 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.454 * [taylor]: Taking taylor expansion of re in im 0.454 * [backup-simplify]: Simplify re into re 0.454 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.454 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.454 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.454 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.454 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.454 * [taylor]: Taking taylor expansion of re in im 0.454 * [backup-simplify]: Simplify re into re 0.454 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.454 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.454 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.454 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.454 * [taylor]: Taking taylor expansion of im in im 0.454 * [backup-simplify]: Simplify 0 into 0 0.454 * [backup-simplify]: Simplify 1 into 1 0.454 * [backup-simplify]: Simplify (* 1 1) into 1 0.454 * [backup-simplify]: Simplify (/ 1 1) into 1 0.455 * [backup-simplify]: Simplify (+ 0 1) into 1 0.455 * [backup-simplify]: Simplify (sqrt 1) into 1 0.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.456 * [backup-simplify]: Simplify (+ 0 0) into 0 0.456 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.456 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.456 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.456 * [taylor]: Taking taylor expansion of re in re 0.456 * [backup-simplify]: Simplify 0 into 0 0.456 * [backup-simplify]: Simplify 1 into 1 0.457 * [backup-simplify]: Simplify (/ 1 1) into 1 0.457 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.457 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.457 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.457 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.457 * [taylor]: Taking taylor expansion of re in re 0.457 * [backup-simplify]: Simplify 0 into 0 0.457 * [backup-simplify]: Simplify 1 into 1 0.457 * [backup-simplify]: Simplify (* 1 1) into 1 0.457 * [backup-simplify]: Simplify (/ 1 1) into 1 0.457 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.457 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.457 * [taylor]: Taking taylor expansion of im in re 0.457 * [backup-simplify]: Simplify im into im 0.457 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.457 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.458 * [backup-simplify]: Simplify (+ 1 0) into 1 0.458 * [backup-simplify]: Simplify (sqrt 1) into 1 0.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.459 * [backup-simplify]: Simplify (+ 0 0) into 0 0.460 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.460 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.460 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.460 * [taylor]: Taking taylor expansion of re in re 0.460 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify 1 into 1 0.460 * [backup-simplify]: Simplify (/ 1 1) into 1 0.460 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.460 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.460 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.460 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.460 * [taylor]: Taking taylor expansion of re in re 0.460 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify 1 into 1 0.460 * [backup-simplify]: Simplify (* 1 1) into 1 0.461 * [backup-simplify]: Simplify (/ 1 1) into 1 0.461 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.461 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.461 * [taylor]: Taking taylor expansion of im in re 0.461 * [backup-simplify]: Simplify im into im 0.461 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.461 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.461 * [backup-simplify]: Simplify (+ 1 0) into 1 0.461 * [backup-simplify]: Simplify (sqrt 1) into 1 0.462 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.462 * [backup-simplify]: Simplify (+ 0 0) into 0 0.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.463 * [backup-simplify]: Simplify (+ 1 1) into 2 0.463 * [taylor]: Taking taylor expansion of 2 in im 0.463 * [backup-simplify]: Simplify 2 into 2 0.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.464 * [backup-simplify]: Simplify (+ 0 0) into 0 0.464 * [taylor]: Taking taylor expansion of 0 in im 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify 2 into 2 0.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.465 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.466 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.466 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.466 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.466 * [taylor]: Taking taylor expansion of 1/2 in im 0.466 * [backup-simplify]: Simplify 1/2 into 1/2 0.466 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.466 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.466 * [taylor]: Taking taylor expansion of im in im 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify 1 into 1 0.467 * [backup-simplify]: Simplify (* 1 1) into 1 0.467 * [backup-simplify]: Simplify (/ 1 1) into 1 0.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.468 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.470 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.470 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.470 * [backup-simplify]: Simplify (+ 0 0) into 0 0.471 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.471 * [backup-simplify]: Simplify (+ 0 0) into 0 0.471 * [taylor]: Taking taylor expansion of 0 in im 0.471 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.473 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 0.473 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.474 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) 0.474 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) in (re im) around 0 0.474 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im 0.474 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.474 * [taylor]: Taking taylor expansion of 2.0 in im 0.474 * [backup-simplify]: Simplify 2.0 into 2.0 0.474 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.475 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.475 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im 0.475 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 0.475 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.475 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.475 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.475 * [taylor]: Taking taylor expansion of im in im 0.475 * [backup-simplify]: Simplify 0 into 0 0.475 * [backup-simplify]: Simplify 1 into 1 0.475 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.475 * [taylor]: Taking taylor expansion of re in im 0.475 * [backup-simplify]: Simplify re into re 0.475 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.475 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.475 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.476 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.476 * [backup-simplify]: Simplify (+ 0 0) into 0 0.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.476 * [taylor]: Taking taylor expansion of re in im 0.476 * [backup-simplify]: Simplify re into re 0.476 * [backup-simplify]: Simplify (- re) into (- re) 0.476 * [backup-simplify]: Simplify (+ re (- re)) into 0 0.477 * [backup-simplify]: Simplify (- 0) into 0 0.477 * [backup-simplify]: Simplify (+ 0 0) into 0 0.477 * [backup-simplify]: Simplify (* 1 1) into 1 0.478 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 0.478 * [backup-simplify]: Simplify (+ 1 0) into 1 0.479 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 0.479 * [backup-simplify]: Simplify (- 0) into 0 0.479 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 0.479 * [backup-simplify]: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 0.480 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.481 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 0.481 * [backup-simplify]: Simplify (+ 0 0) into 0 0.481 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 0.482 * [backup-simplify]: Simplify (- 0) into 0 0.482 * [backup-simplify]: Simplify (+ 0 0) into 0 0.482 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0 0.482 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) in re 0.482 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.482 * [taylor]: Taking taylor expansion of 2.0 in re 0.482 * [backup-simplify]: Simplify 2.0 into 2.0 0.483 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.483 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re 0.483 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 0.484 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.484 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.484 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.484 * [taylor]: Taking taylor expansion of im in re 0.484 * [backup-simplify]: Simplify im into im 0.484 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.484 * [taylor]: Taking taylor expansion of re in re 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify 1 into 1 0.484 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.484 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.484 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.484 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.484 * [backup-simplify]: Simplify (+ 0 0) into 0 0.485 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.485 * [taylor]: Taking taylor expansion of re in re 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify 1 into 1 0.485 * [backup-simplify]: Simplify (- 0) into 0 0.485 * [backup-simplify]: Simplify (+ im 0) into im 0.485 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.485 * [backup-simplify]: Simplify (- 1) into -1 0.486 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.486 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 0.486 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re))) in re 0.486 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.486 * [taylor]: Taking taylor expansion of 2.0 in re 0.486 * [backup-simplify]: Simplify 2.0 into 2.0 0.486 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.487 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.487 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re 0.487 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 0.487 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.487 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.487 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.487 * [taylor]: Taking taylor expansion of im in re 0.487 * [backup-simplify]: Simplify im into im 0.487 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.487 * [taylor]: Taking taylor expansion of re in re 0.487 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify 1 into 1 0.488 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.488 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.488 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.488 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.488 * [backup-simplify]: Simplify (+ 0 0) into 0 0.488 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.488 * [taylor]: Taking taylor expansion of re in re 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify 1 into 1 0.489 * [backup-simplify]: Simplify (- 0) into 0 0.489 * [backup-simplify]: Simplify (+ im 0) into im 0.489 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.489 * [backup-simplify]: Simplify (- 1) into -1 0.490 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.490 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 0.490 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 0.490 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.490 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.490 * [taylor]: Taking taylor expansion of 2.0 in im 0.490 * [backup-simplify]: Simplify 2.0 into 2.0 0.491 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.492 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.492 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.492 * [taylor]: Taking taylor expansion of im in im 0.492 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify 1 into 1 0.492 * [backup-simplify]: Simplify (sqrt 0) into 0 0.493 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.495 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.496 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.496 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* -1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) 0.496 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 0.496 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.496 * [taylor]: Taking taylor expansion of 1/2 in im 0.496 * [backup-simplify]: Simplify 1/2 into 1/2 0.496 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) 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 0.496 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.497 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.497 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.497 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.497 * [taylor]: Taking taylor expansion of im in im 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify 1 into 1 0.497 * [backup-simplify]: Simplify (/ 1 1) into 1 0.497 * [backup-simplify]: Simplify (sqrt 0) into 0 0.498 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.501 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.501 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.503 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.504 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.504 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.507 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.511 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.512 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.514 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.515 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.516 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.517 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.520 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* im 1) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im re)) (* (- (* +nan.0 (sqrt 2.0))) (* im 1)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (* re im))) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (* +nan.0 (* (sqrt 2.0) im))))))) 0.520 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) 0.520 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in (re im) around 0 0.520 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 0.520 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.520 * [taylor]: Taking taylor expansion of 2.0 in im 0.520 * [backup-simplify]: Simplify 2.0 into 2.0 0.521 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.521 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.521 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 0.521 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 0.521 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.521 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.521 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.521 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.521 * [taylor]: Taking taylor expansion of re in im 0.521 * [backup-simplify]: Simplify re into re 0.521 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.521 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.521 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.521 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.521 * [taylor]: Taking taylor expansion of im in im 0.521 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify 1 into 1 0.522 * [backup-simplify]: Simplify (* 1 1) into 1 0.522 * [backup-simplify]: Simplify (/ 1 1) into 1 0.522 * [backup-simplify]: Simplify (+ 0 1) into 1 0.522 * [backup-simplify]: Simplify (sqrt 1) into 1 0.523 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.523 * [backup-simplify]: Simplify (+ 0 0) into 0 0.524 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.524 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.524 * [taylor]: Taking taylor expansion of re in im 0.524 * [backup-simplify]: Simplify re into re 0.524 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.524 * [backup-simplify]: Simplify (+ 1 0) into 1 0.524 * [backup-simplify]: Simplify (sqrt 0) into 0 0.525 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.526 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 0.526 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.526 * [taylor]: Taking taylor expansion of 2.0 in re 0.526 * [backup-simplify]: Simplify 2.0 into 2.0 0.526 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.527 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.527 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 0.527 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.527 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.527 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.527 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.527 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.527 * [taylor]: Taking taylor expansion of re in re 0.527 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify 1 into 1 0.527 * [backup-simplify]: Simplify (* 1 1) into 1 0.528 * [backup-simplify]: Simplify (/ 1 1) into 1 0.528 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.528 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.528 * [taylor]: Taking taylor expansion of im in re 0.528 * [backup-simplify]: Simplify im into im 0.528 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.528 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.528 * [backup-simplify]: Simplify (+ 1 0) into 1 0.529 * [backup-simplify]: Simplify (sqrt 1) into 1 0.530 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.531 * [backup-simplify]: Simplify (+ 0 0) into 0 0.531 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.531 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.531 * [taylor]: Taking taylor expansion of re in re 0.531 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify 1 into 1 0.532 * [backup-simplify]: Simplify (/ 1 1) into 1 0.532 * [backup-simplify]: Simplify (- 1) into -1 0.533 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.534 * [backup-simplify]: Simplify (- 0) into 0 0.534 * [backup-simplify]: Simplify (+ 0 0) into 0 0.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.536 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.537 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.538 * [backup-simplify]: Simplify (- 0) into 0 0.539 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.539 * [backup-simplify]: Simplify (sqrt 0) into 0 0.540 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.540 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 0.540 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.540 * [taylor]: Taking taylor expansion of 2.0 in re 0.540 * [backup-simplify]: Simplify 2.0 into 2.0 0.540 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.541 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.541 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 0.541 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.541 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.541 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.541 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.541 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.541 * [taylor]: Taking taylor expansion of re in re 0.541 * [backup-simplify]: Simplify 0 into 0 0.541 * [backup-simplify]: Simplify 1 into 1 0.541 * [backup-simplify]: Simplify (* 1 1) into 1 0.542 * [backup-simplify]: Simplify (/ 1 1) into 1 0.542 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.542 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.542 * [taylor]: Taking taylor expansion of im in re 0.542 * [backup-simplify]: Simplify im into im 0.542 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.542 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.542 * [backup-simplify]: Simplify (+ 1 0) into 1 0.543 * [backup-simplify]: Simplify (sqrt 1) into 1 0.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.545 * [backup-simplify]: Simplify (+ 0 0) into 0 0.545 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.545 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.545 * [taylor]: Taking taylor expansion of re in re 0.545 * [backup-simplify]: Simplify 0 into 0 0.545 * [backup-simplify]: Simplify 1 into 1 0.546 * [backup-simplify]: Simplify (/ 1 1) into 1 0.546 * [backup-simplify]: Simplify (- 1) into -1 0.546 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.547 * [backup-simplify]: Simplify (- 0) into 0 0.548 * [backup-simplify]: Simplify (+ 0 0) into 0 0.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.550 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.551 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.552 * [backup-simplify]: Simplify (- 0) into 0 0.552 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.553 * [backup-simplify]: Simplify (sqrt 0) into 0 0.553 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.554 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.554 * [taylor]: Taking taylor expansion of 0 in im 0.554 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 0.555 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.555 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.555 * [taylor]: Taking taylor expansion of +nan.0 in im 0.555 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.555 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.555 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.555 * [taylor]: Taking taylor expansion of 2.0 in im 0.555 * [backup-simplify]: Simplify 2.0 into 2.0 0.556 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.556 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.556 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.556 * [taylor]: Taking taylor expansion of im in im 0.557 * [backup-simplify]: Simplify 0 into 0 0.557 * [backup-simplify]: Simplify 1 into 1 0.557 * [backup-simplify]: Simplify (* 1 1) into 1 0.558 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.558 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.559 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.559 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.559 * [backup-simplify]: Simplify (- 0) into 0 0.559 * [backup-simplify]: Simplify 0 into 0 0.559 * [backup-simplify]: Simplify 0 into 0 0.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.561 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.561 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.561 * [backup-simplify]: Simplify (+ 0 0) into 0 0.561 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.562 * [backup-simplify]: Simplify (- 0) into 0 0.562 * [backup-simplify]: Simplify (+ 0 0) into 0 0.563 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 0.564 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.564 * [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)))) 0.564 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.564 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) 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 4)) 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 0.565 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.565 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.565 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.565 * [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 0.566 * [backup-simplify]: Simplify (* 1 1) into 1 0.566 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.567 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.568 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) 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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.574 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.574 * [backup-simplify]: Simplify (- 0) into 0 0.574 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.577 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.577 * [backup-simplify]: Simplify (- 0) into 0 0.577 * [backup-simplify]: Simplify 0 into 0 0.577 * [backup-simplify]: Simplify 0 into 0 0.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.579 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.579 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.580 * [backup-simplify]: Simplify (+ 0 0) into 0 0.580 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 0.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.581 * [backup-simplify]: Simplify (- 0) into 0 0.581 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 0.582 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4))))) 0.582 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.583 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))))) (+ (* 0 (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) 0.583 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.583 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.583 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.583 * [taylor]: Taking taylor expansion of +nan.0 in im 0.583 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.583 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.583 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.583 * [taylor]: Taking taylor expansion of 2.0 in im 0.583 * [backup-simplify]: Simplify 2.0 into 2.0 0.584 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.584 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.584 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.584 * [taylor]: Taking taylor expansion of im in im 0.584 * [backup-simplify]: Simplify 0 into 0 0.584 * [backup-simplify]: Simplify 1 into 1 0.584 * [backup-simplify]: Simplify (* 1 1) into 1 0.584 * [backup-simplify]: Simplify (* 1 1) into 1 0.585 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.585 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.585 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.585 * [taylor]: Taking taylor expansion of +nan.0 in im 0.585 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.585 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.585 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.585 * [taylor]: Taking taylor expansion of 2.0 in im 0.585 * [backup-simplify]: Simplify 2.0 into 2.0 0.585 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.586 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.586 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.586 * [taylor]: Taking taylor expansion of im in im 0.586 * [backup-simplify]: Simplify 0 into 0 0.586 * [backup-simplify]: Simplify 1 into 1 0.586 * [backup-simplify]: Simplify (* 1 1) into 1 0.586 * [backup-simplify]: Simplify (* 1 1) into 1 0.587 * [backup-simplify]: Simplify (* 1 1) into 1 0.587 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.588 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.588 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.589 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.591 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.592 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.594 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.595 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.595 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.596 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.597 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.600 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.602 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.608 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.614 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.616 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.617 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.618 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.620 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 0.620 * [backup-simplify]: Simplify (- 0) into 0 0.621 * [backup-simplify]: Simplify (+ 0 0) into 0 0.621 * [backup-simplify]: Simplify (- 0) into 0 0.621 * [backup-simplify]: Simplify 0 into 0 0.621 * [backup-simplify]: Simplify 0 into 0 0.622 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) 0.622 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in (re im) around 0 0.622 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 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 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 0.623 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 0.623 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.623 * [taylor]: Taking taylor expansion of re in im 0.623 * [backup-simplify]: Simplify re into re 0.623 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.623 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.623 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.623 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.623 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.623 * [taylor]: Taking taylor expansion of re in im 0.623 * [backup-simplify]: Simplify re into re 0.623 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.623 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.623 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.623 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.623 * [taylor]: Taking taylor expansion of im in im 0.623 * [backup-simplify]: Simplify 0 into 0 0.623 * [backup-simplify]: Simplify 1 into 1 0.624 * [backup-simplify]: Simplify (* 1 1) into 1 0.624 * [backup-simplify]: Simplify (/ 1 1) into 1 0.625 * [backup-simplify]: Simplify (+ 0 1) into 1 0.625 * [backup-simplify]: Simplify (sqrt 1) into 1 0.626 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.627 * [backup-simplify]: Simplify (+ 0 0) into 0 0.627 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.628 * [backup-simplify]: Simplify (+ 0 1) into 1 0.628 * [backup-simplify]: Simplify (sqrt 0) into 0 0.630 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.630 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 0.630 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.630 * [taylor]: Taking taylor expansion of 2.0 in re 0.630 * [backup-simplify]: Simplify 2.0 into 2.0 0.630 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.631 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.631 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 0.631 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.631 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.631 * [taylor]: Taking taylor expansion of re in re 0.631 * [backup-simplify]: Simplify 0 into 0 0.631 * [backup-simplify]: Simplify 1 into 1 0.632 * [backup-simplify]: Simplify (/ 1 1) into 1 0.632 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.632 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.632 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.632 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.632 * [taylor]: Taking taylor expansion of re in re 0.632 * [backup-simplify]: Simplify 0 into 0 0.632 * [backup-simplify]: Simplify 1 into 1 0.632 * [backup-simplify]: Simplify (* 1 1) into 1 0.633 * [backup-simplify]: Simplify (/ 1 1) into 1 0.633 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.633 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.633 * [taylor]: Taking taylor expansion of im in re 0.633 * [backup-simplify]: Simplify im into im 0.633 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.633 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.633 * [backup-simplify]: Simplify (+ 1 0) into 1 0.634 * [backup-simplify]: Simplify (sqrt 1) into 1 0.634 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.635 * [backup-simplify]: Simplify (+ 0 0) into 0 0.636 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.637 * [backup-simplify]: Simplify (+ 1 1) into 2 0.637 * [backup-simplify]: Simplify (sqrt 0) into 0 0.638 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.638 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 0.638 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.638 * [taylor]: Taking taylor expansion of 2.0 in re 0.638 * [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 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 0.640 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.640 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.640 * [taylor]: Taking taylor expansion of re in re 0.640 * [backup-simplify]: Simplify 0 into 0 0.640 * [backup-simplify]: Simplify 1 into 1 0.640 * [backup-simplify]: Simplify (/ 1 1) into 1 0.640 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.640 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.640 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.640 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.640 * [taylor]: Taking taylor expansion of re in re 0.640 * [backup-simplify]: Simplify 0 into 0 0.640 * [backup-simplify]: Simplify 1 into 1 0.641 * [backup-simplify]: Simplify (* 1 1) into 1 0.641 * [backup-simplify]: Simplify (/ 1 1) into 1 0.641 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.641 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.641 * [taylor]: Taking taylor expansion of im in re 0.641 * [backup-simplify]: Simplify im into im 0.641 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.641 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.642 * [backup-simplify]: Simplify (+ 1 0) into 1 0.642 * [backup-simplify]: Simplify (sqrt 1) into 1 0.643 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.644 * [backup-simplify]: Simplify (+ 0 0) into 0 0.645 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.645 * [backup-simplify]: Simplify (+ 1 1) into 2 0.645 * [backup-simplify]: Simplify (sqrt 0) into 0 0.647 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.647 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.647 * [taylor]: Taking taylor expansion of 0 in im 0.647 * [backup-simplify]: Simplify 0 into 0 0.650 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.650 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.650 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.650 * [taylor]: Taking taylor expansion of +nan.0 in im 0.650 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.650 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.650 * [taylor]: Taking taylor expansion of 2.0 in im 0.650 * [backup-simplify]: Simplify 2.0 into 2.0 0.650 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.651 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.651 * [backup-simplify]: Simplify 0 into 0 0.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.652 * [backup-simplify]: Simplify (+ 0 0) into 0 0.655 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.657 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.660 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (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 0.660 * [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 (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.664 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.666 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.666 * [backup-simplify]: Simplify 0 into 0 0.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.669 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.670 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.670 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.672 * [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)) 0.674 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.675 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) 0.675 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 0.675 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 0.675 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.675 * [taylor]: Taking taylor expansion of +nan.0 in im 0.675 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.675 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.675 * [taylor]: Taking taylor expansion of 2.0 in im 0.675 * [backup-simplify]: Simplify 2.0 into 2.0 0.676 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.677 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.677 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.677 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.677 * [taylor]: Taking taylor expansion of +nan.0 in im 0.677 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.677 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.677 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.677 * [taylor]: Taking taylor expansion of 2.0 in im 0.677 * [backup-simplify]: Simplify 2.0 into 2.0 0.677 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.678 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.678 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.678 * [taylor]: Taking taylor expansion of im in im 0.678 * [backup-simplify]: Simplify 0 into 0 0.678 * [backup-simplify]: Simplify 1 into 1 0.678 * [backup-simplify]: Simplify (* 1 1) into 1 0.679 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.680 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.681 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.682 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.682 * [backup-simplify]: Simplify (- 0) into 0 0.683 * [backup-simplify]: Simplify (+ 0 0) into 0 0.683 * [backup-simplify]: Simplify (- 0) into 0 0.683 * [backup-simplify]: Simplify 0 into 0 0.684 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.686 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.687 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.688 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.688 * [backup-simplify]: Simplify (- 0) into 0 0.688 * [backup-simplify]: Simplify 0 into 0 0.688 * [backup-simplify]: Simplify 0 into 0 0.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.692 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.692 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.693 * [backup-simplify]: Simplify (+ 0 0) into 0 0.693 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.693 * [backup-simplify]: Simplify (+ 0 0) into 0 0.695 * [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))) 0.696 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.698 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) 0.698 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 0.698 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 0.698 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.698 * [taylor]: Taking taylor expansion of +nan.0 in im 0.698 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.698 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.698 * [taylor]: Taking taylor expansion of 2.0 in im 0.698 * [backup-simplify]: Simplify 2.0 into 2.0 0.698 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.699 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.699 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.699 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.699 * [taylor]: Taking taylor expansion of +nan.0 in im 0.699 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.699 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.699 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.699 * [taylor]: Taking taylor expansion of 2.0 in im 0.699 * [backup-simplify]: Simplify 2.0 into 2.0 0.700 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.701 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.701 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.701 * [taylor]: Taking taylor expansion of im in im 0.701 * [backup-simplify]: Simplify 0 into 0 0.701 * [backup-simplify]: Simplify 1 into 1 0.701 * [backup-simplify]: Simplify (* 1 1) into 1 0.702 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.703 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.704 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.705 * [backup-simplify]: Simplify (- 0) into 0 0.705 * [backup-simplify]: Simplify (+ 0 0) into 0 0.705 * [backup-simplify]: Simplify (- 0) into 0 0.705 * [backup-simplify]: Simplify 0 into 0 0.706 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.707 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.708 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.709 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.711 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.711 * [backup-simplify]: Simplify (- 0) into 0 0.712 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 0.715 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.716 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.721 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 (- re))) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 (- re)))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 0.722 * * * [progress]: simplifying candidates 0.722 * * * * [progress]: [ 1 / 55 ] simplifiying candidate # 0.722 * * * * [progress]: [ 2 / 55 ] simplifiying candidate # 0.722 * * * * [progress]: [ 3 / 55 ] simplifiying candidate # 0.722 * * * * [progress]: [ 4 / 55 ] simplifiying candidate # 0.723 * * * * [progress]: [ 5 / 55 ] simplifiying candidate # 0.723 * * * * [progress]: [ 6 / 55 ] simplifiying candidate # 0.723 * * * * [progress]: [ 7 / 55 ] simplifiying candidate # 0.723 * * * * [progress]: [ 8 / 55 ] simplifiying candidate # 0.723 * * * * [progress]: [ 9 / 55 ] simplifiying candidate # 0.723 * * * * [progress]: [ 10 / 55 ] simplifiying candidate # 0.723 * * * * [progress]: [ 11 / 55 ] simplifiying candidate # 0.723 * * * * [progress]: [ 12 / 55 ] simplifiying candidate # 0.723 * * * * [progress]: [ 13 / 55 ] simplifiying candidate # 0.723 * * * * [progress]: [ 14 / 55 ] simplifiying candidate # 0.723 * * * * [progress]: [ 15 / 55 ] simplifiying candidate # 0.723 * * * * [progress]: [ 16 / 55 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))) re)))))> 0.723 * * * * [progress]: [ 17 / 55 ] simplifiying candidate # 0.723 * * * * [progress]: [ 18 / 55 ] simplifiying candidate # 0.724 * * * * [progress]: [ 19 / 55 ] simplifiying candidate # 0.724 * * * * [progress]: [ 20 / 55 ] simplifiying candidate # 0.724 * * * * [progress]: [ 21 / 55 ] simplifiying candidate # 0.724 * * * * [progress]: [ 22 / 55 ] simplifiying candidate # 0.724 * * * * [progress]: [ 23 / 55 ] simplifiying candidate # 0.724 * * * * [progress]: [ 24 / 55 ] simplifiying candidate # 0.724 * * * * [progress]: [ 25 / 55 ] simplifiying candidate # 0.724 * * * * [progress]: [ 26 / 55 ] simplifiying candidate # 0.724 * * * * [progress]: [ 27 / 55 ] simplifiying candidate # 0.724 * * * * [progress]: [ 28 / 55 ] simplifiying candidate # 0.724 * * * * [progress]: [ 29 / 55 ] simplifiying candidate # 0.724 * * * * [progress]: [ 30 / 55 ] simplifiying candidate # 0.724 * * * * [progress]: [ 31 / 55 ] simplifiying candidate # 0.724 * * * * [progress]: [ 32 / 55 ] simplifiying candidate #real (real->posit16 (- (sqrt (+ (* re re) (* im im))) re)))))))> 0.724 * * * * [progress]: [ 33 / 55 ] simplifiying candidate # 0.725 * * * * [progress]: [ 34 / 55 ] simplifiying candidate # 0.725 * * * * [progress]: [ 35 / 55 ] simplifiying candidate # 0.725 * * * * [progress]: [ 36 / 55 ] simplifiying candidate # 0.725 * * * * [progress]: [ 37 / 55 ] simplifiying candidate # 0.725 * * * * [progress]: [ 38 / 55 ] simplifiying candidate # 0.725 * * * * [progress]: [ 39 / 55 ] simplifiying candidate # 0.725 * * * * [progress]: [ 40 / 55 ] simplifiying candidate # 0.725 * * * * [progress]: [ 41 / 55 ] simplifiying candidate # 0.725 * * * * [progress]: [ 42 / 55 ] simplifiying candidate # 0.725 * * * * [progress]: [ 43 / 55 ] simplifiying candidate # 0.725 * * * * [progress]: [ 44 / 55 ] simplifiying candidate # 0.725 * * * * [progress]: [ 45 / 55 ] simplifiying candidate # 0.725 * * * * [progress]: [ 46 / 55 ] simplifiying candidate #real (real->posit16 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))))> 0.725 * * * * [progress]: [ 47 / 55 ] simplifiying candidate # 0.725 * * * * [progress]: [ 48 / 55 ] simplifiying candidate # 0.725 * * * * [progress]: [ 49 / 55 ] simplifiying candidate # 0.726 * * * * [progress]: [ 50 / 55 ] simplifiying candidate # 0.726 * * * * [progress]: [ 51 / 55 ] simplifiying candidate # 0.726 * * * * [progress]: [ 52 / 55 ] simplifiying candidate # 0.726 * * * * [progress]: [ 53 / 55 ] simplifiying candidate # 0.726 * * * * [progress]: [ 54 / 55 ] simplifiying candidate # 0.726 * * * * [progress]: [ 55 / 55 ] simplifiying candidate # 0.727 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- re) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (- re) (real->posit16 (- (sqrt (+ (* re re) (* im im))) re)) (log (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (* (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (real->posit16 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) im re (* -1 re) (- im re) 0 (* -2 re) (- (+ (* +nan.0 (* (sqrt 2.0) (* re im))) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (* +nan.0 (* (sqrt 2.0) im))))))) 0 (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 0.729 * * [simplify]: iteration 0: 109 enodes 0.778 * * [simplify]: iteration 1: 231 enodes 0.891 * * [simplify]: iteration 2: 631 enodes 1.235 * * [simplify]: iteration 3: 2212 enodes 2.074 * * [simplify]: iteration complete: 5000 enodes 2.075 * * [simplify]: Extracting #0: cost 50 inf + 0 2.075 * * [simplify]: Extracting #1: cost 187 inf + 5 2.077 * * [simplify]: Extracting #2: cost 751 inf + 2506 2.092 * * [simplify]: Extracting #3: cost 1162 inf + 38184 2.147 * * [simplify]: Extracting #4: cost 454 inf + 188859 2.247 * * [simplify]: Extracting #5: cost 90 inf + 269852 2.350 * * [simplify]: Extracting #6: cost 46 inf + 282865 2.435 * * [simplify]: Extracting #7: cost 30 inf + 286973 2.517 * * [simplify]: Extracting #8: cost 5 inf + 291286 2.572 * * [simplify]: Extracting #9: cost 0 inf + 292751 2.663 * [simplify]: Simplified to: (log (sqrt (+ (* im im) (* re re)))) (exp (sqrt (+ (* im im) (* re re)))) (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re)))) (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (fabs (cbrt (+ (* im im) (* re re)))) (sqrt (cbrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) 1 (sqrt (+ (* im im) (* re re))) (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* re re) (- (* re re) (* im im))) (* (* im im) (* im im)))) (sqrt (* (+ (* im im) (* re re)) (- (* re re) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (real->posit16 (sqrt (+ (* im im) (* re re)))) (exp (- (sqrt (+ (* im im) (* re re))) re)) (log (- (sqrt (+ (* im im) (* re re))) re)) (exp (- (sqrt (+ (* im im) (* re re))) re)) (* (cbrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (- (sqrt (+ (* im im) (* re re))) re)) (* (- (sqrt (+ (* im im) (* re re))) re) (* (- (sqrt (+ (* im im) (* re re))) re) (- (sqrt (+ (* im im) (* re re))) re))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (- (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* re (* re re))) (+ (+ (* im im) (* re re)) (* re (+ (sqrt (+ (* im im) (* re re))) re))) (- re) (+ (* im im) 0) (+ (sqrt (+ (* im im) (* re re))) re) (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re)) (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re)) (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re)) (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re)) (- (sqrt (+ (* im im) (* re re))) re) (- re) (real->posit16 (- (sqrt (+ (* im im) (* re re))) re)) (log (sqrt (* (- (sqrt (+ (* im im) (* re re))) re) 2.0))) (exp (sqrt (* (- (sqrt (+ (* im im) (* re re))) re) 2.0))) (* (cbrt (sqrt (* (- (sqrt (+ (* im im) (* re re))) re) 2.0))) (cbrt (sqrt (* (- (sqrt (+ (* im im) (* re re))) re) 2.0)))) (cbrt (sqrt (* (- (sqrt (+ (* im im) (* re re))) re) 2.0))) (* (sqrt (* (- (sqrt (+ (* im im) (* re re))) re) 2.0)) (* (- (sqrt (+ (* im im) (* re re))) re) 2.0)) (sqrt 2.0) (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (sqrt (* (- (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* re (* re re))) 2.0)) (sqrt (+ (+ (* im im) (* re re)) (* re (+ (sqrt (+ (* im im) (* re re))) re)))) (sqrt (* (+ (* im im) 0) 2.0)) (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) 1/2 1/2 (sqrt (sqrt (* (- (sqrt (+ (* im im) (* re re))) re) 2.0))) (sqrt (sqrt (* (- (sqrt (+ (* im im) (* re re))) re) 2.0))) (real->posit16 (sqrt (* (- (sqrt (+ (* im im) (* re re))) re) 2.0))) im re (- re) (- im re) 0 (* -2 re) (- (- (* (* (* im +nan.0) (sqrt 2.0)) (- re im))) (* (* im +nan.0) (sqrt 2.0))) 0 (* +nan.0 (+ (- (sqrt 2.0)) (- (/ (sqrt 2.0) re) (/ (sqrt 2.0) (* re re))))) 2.668 * * * [progress]: adding candidates to table 2.924 * * [progress]: iteration 2 / 4 2.924 * * * [progress]: picking best candidate 2.943 * * * * [pick]: Picked # 2.943 * * * [progress]: localizing error 2.976 * * * [progress]: generating rewritten candidates 2.976 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1) 2.983 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1) 2.989 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 3.019 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1) 3.078 * * * [progress]: generating series expansions 3.078 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1) 3.079 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 3.079 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 3.079 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 3.079 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 3.079 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.079 * [taylor]: Taking taylor expansion of im in im 3.079 * [backup-simplify]: Simplify 0 into 0 3.079 * [backup-simplify]: Simplify 1 into 1 3.079 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.079 * [taylor]: Taking taylor expansion of re in im 3.079 * [backup-simplify]: Simplify re into re 3.079 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.079 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 3.079 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.079 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.080 * [backup-simplify]: Simplify (+ 0 0) into 0 3.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.080 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.080 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.080 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.080 * [taylor]: Taking taylor expansion of im in re 3.080 * [backup-simplify]: Simplify im into im 3.080 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.080 * [taylor]: Taking taylor expansion of re in re 3.080 * [backup-simplify]: Simplify 0 into 0 3.080 * [backup-simplify]: Simplify 1 into 1 3.080 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.080 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.080 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.081 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.081 * [backup-simplify]: Simplify (+ 0 0) into 0 3.081 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.081 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.081 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.081 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.081 * [taylor]: Taking taylor expansion of im in re 3.081 * [backup-simplify]: Simplify im into im 3.081 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.081 * [taylor]: Taking taylor expansion of re in re 3.081 * [backup-simplify]: Simplify 0 into 0 3.081 * [backup-simplify]: Simplify 1 into 1 3.081 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.081 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.081 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.082 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.082 * [backup-simplify]: Simplify (+ 0 0) into 0 3.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.082 * [taylor]: Taking taylor expansion of im in im 3.082 * [backup-simplify]: Simplify 0 into 0 3.082 * [backup-simplify]: Simplify 1 into 1 3.082 * [backup-simplify]: Simplify 0 into 0 3.082 * [taylor]: Taking taylor expansion of 0 in im 3.082 * [backup-simplify]: Simplify 0 into 0 3.082 * [backup-simplify]: Simplify 0 into 0 3.082 * [backup-simplify]: Simplify 1 into 1 3.083 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.083 * [backup-simplify]: Simplify (* 1 1) into 1 3.084 * [backup-simplify]: Simplify (+ 0 1) into 1 3.084 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.084 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.084 * [taylor]: Taking taylor expansion of 1/2 in im 3.084 * [backup-simplify]: Simplify 1/2 into 1/2 3.085 * [taylor]: Taking taylor expansion of im in im 3.085 * [backup-simplify]: Simplify 0 into 0 3.085 * [backup-simplify]: Simplify 1 into 1 3.085 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.086 * [backup-simplify]: Simplify 0 into 0 3.086 * [backup-simplify]: Simplify 0 into 0 3.086 * [backup-simplify]: Simplify 0 into 0 3.087 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.088 * [backup-simplify]: Simplify (+ 0 0) into 0 3.088 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.088 * [taylor]: Taking taylor expansion of 0 in im 3.088 * [backup-simplify]: Simplify 0 into 0 3.088 * [backup-simplify]: Simplify 0 into 0 3.089 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.089 * [backup-simplify]: Simplify 0 into 0 3.089 * [backup-simplify]: Simplify 0 into 0 3.089 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 3.089 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.090 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 3.090 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.090 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.090 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.090 * [taylor]: Taking taylor expansion of re in im 3.090 * [backup-simplify]: Simplify re into re 3.090 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.090 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.090 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.090 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.090 * [taylor]: Taking taylor expansion of im in im 3.090 * [backup-simplify]: Simplify 0 into 0 3.090 * [backup-simplify]: Simplify 1 into 1 3.090 * [backup-simplify]: Simplify (* 1 1) into 1 3.091 * [backup-simplify]: Simplify (/ 1 1) into 1 3.091 * [backup-simplify]: Simplify (+ 0 1) into 1 3.091 * [backup-simplify]: Simplify (sqrt 1) into 1 3.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.093 * [backup-simplify]: Simplify (+ 0 0) into 0 3.094 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.094 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.094 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.094 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.094 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.094 * [taylor]: Taking taylor expansion of re in re 3.094 * [backup-simplify]: Simplify 0 into 0 3.094 * [backup-simplify]: Simplify 1 into 1 3.094 * [backup-simplify]: Simplify (* 1 1) into 1 3.095 * [backup-simplify]: Simplify (/ 1 1) into 1 3.095 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.095 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.095 * [taylor]: Taking taylor expansion of im in re 3.095 * [backup-simplify]: Simplify im into im 3.095 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.095 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.095 * [backup-simplify]: Simplify (+ 1 0) into 1 3.096 * [backup-simplify]: Simplify (sqrt 1) into 1 3.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.097 * [backup-simplify]: Simplify (+ 0 0) into 0 3.098 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.098 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.098 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.098 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.098 * [taylor]: Taking taylor expansion of re in re 3.098 * [backup-simplify]: Simplify 0 into 0 3.098 * [backup-simplify]: Simplify 1 into 1 3.098 * [backup-simplify]: Simplify (* 1 1) into 1 3.099 * [backup-simplify]: Simplify (/ 1 1) into 1 3.099 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.099 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.099 * [taylor]: Taking taylor expansion of im in re 3.099 * [backup-simplify]: Simplify im into im 3.099 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.099 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.099 * [backup-simplify]: Simplify (+ 1 0) into 1 3.100 * [backup-simplify]: Simplify (sqrt 1) into 1 3.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.101 * [backup-simplify]: Simplify (+ 0 0) into 0 3.102 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.102 * [taylor]: Taking taylor expansion of 1 in im 3.102 * [backup-simplify]: Simplify 1 into 1 3.102 * [taylor]: Taking taylor expansion of 0 in im 3.102 * [backup-simplify]: Simplify 0 into 0 3.102 * [backup-simplify]: Simplify 1 into 1 3.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.106 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.107 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.107 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.107 * [taylor]: Taking taylor expansion of 1/2 in im 3.107 * [backup-simplify]: Simplify 1/2 into 1/2 3.107 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.107 * [taylor]: Taking taylor expansion of im in im 3.107 * [backup-simplify]: Simplify 0 into 0 3.107 * [backup-simplify]: Simplify 1 into 1 3.108 * [backup-simplify]: Simplify (* 1 1) into 1 3.108 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.110 * [backup-simplify]: Simplify 0 into 0 3.110 * [backup-simplify]: Simplify 0 into 0 3.110 * [backup-simplify]: Simplify 0 into 0 3.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.112 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.112 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.113 * [backup-simplify]: Simplify (+ 0 0) into 0 3.113 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.113 * [taylor]: Taking taylor expansion of 0 in im 3.113 * [backup-simplify]: Simplify 0 into 0 3.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.115 * [backup-simplify]: Simplify 0 into 0 3.115 * [backup-simplify]: Simplify 0 into 0 3.115 * [backup-simplify]: Simplify 0 into 0 3.115 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 3.116 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.116 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 3.116 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.116 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.116 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.116 * [taylor]: Taking taylor expansion of re in im 3.116 * [backup-simplify]: Simplify re into re 3.116 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.116 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.116 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.116 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.116 * [taylor]: Taking taylor expansion of im in im 3.116 * [backup-simplify]: Simplify 0 into 0 3.116 * [backup-simplify]: Simplify 1 into 1 3.116 * [backup-simplify]: Simplify (* 1 1) into 1 3.117 * [backup-simplify]: Simplify (/ 1 1) into 1 3.117 * [backup-simplify]: Simplify (+ 0 1) into 1 3.118 * [backup-simplify]: Simplify (sqrt 1) into 1 3.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.119 * [backup-simplify]: Simplify (+ 0 0) into 0 3.120 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.120 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.120 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.120 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.120 * [taylor]: Taking taylor expansion of re in re 3.120 * [backup-simplify]: Simplify 0 into 0 3.120 * [backup-simplify]: Simplify 1 into 1 3.121 * [backup-simplify]: Simplify (* 1 1) into 1 3.121 * [backup-simplify]: Simplify (/ 1 1) into 1 3.121 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.121 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.121 * [taylor]: Taking taylor expansion of im in re 3.121 * [backup-simplify]: Simplify im into im 3.121 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.121 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.122 * [backup-simplify]: Simplify (+ 1 0) into 1 3.122 * [backup-simplify]: Simplify (sqrt 1) into 1 3.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.124 * [backup-simplify]: Simplify (+ 0 0) into 0 3.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.125 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.125 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.125 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.125 * [taylor]: Taking taylor expansion of re in re 3.125 * [backup-simplify]: Simplify 0 into 0 3.125 * [backup-simplify]: Simplify 1 into 1 3.125 * [backup-simplify]: Simplify (* 1 1) into 1 3.126 * [backup-simplify]: Simplify (/ 1 1) into 1 3.126 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.126 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.126 * [taylor]: Taking taylor expansion of im in re 3.126 * [backup-simplify]: Simplify im into im 3.126 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.126 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.126 * [backup-simplify]: Simplify (+ 1 0) into 1 3.127 * [backup-simplify]: Simplify (sqrt 1) into 1 3.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.128 * [backup-simplify]: Simplify (+ 0 0) into 0 3.129 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.129 * [taylor]: Taking taylor expansion of 1 in im 3.129 * [backup-simplify]: Simplify 1 into 1 3.129 * [taylor]: Taking taylor expansion of 0 in im 3.129 * [backup-simplify]: Simplify 0 into 0 3.129 * [backup-simplify]: Simplify 1 into 1 3.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.131 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.132 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.132 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.132 * [taylor]: Taking taylor expansion of 1/2 in im 3.132 * [backup-simplify]: Simplify 1/2 into 1/2 3.132 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.132 * [taylor]: Taking taylor expansion of im in im 3.133 * [backup-simplify]: Simplify 0 into 0 3.133 * [backup-simplify]: Simplify 1 into 1 3.133 * [backup-simplify]: Simplify (* 1 1) into 1 3.133 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.135 * [backup-simplify]: Simplify 0 into 0 3.135 * [backup-simplify]: Simplify 0 into 0 3.135 * [backup-simplify]: Simplify 0 into 0 3.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.137 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.137 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.138 * [backup-simplify]: Simplify (+ 0 0) into 0 3.138 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.138 * [taylor]: Taking taylor expansion of 0 in im 3.138 * [backup-simplify]: Simplify 0 into 0 3.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.140 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.140 * [backup-simplify]: Simplify 0 into 0 3.140 * [backup-simplify]: Simplify 0 into 0 3.140 * [backup-simplify]: Simplify 0 into 0 3.140 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 3.140 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1) 3.141 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 3.141 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 3.141 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 3.141 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 3.141 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.141 * [taylor]: Taking taylor expansion of im in im 3.141 * [backup-simplify]: Simplify 0 into 0 3.141 * [backup-simplify]: Simplify 1 into 1 3.141 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.141 * [taylor]: Taking taylor expansion of re in im 3.141 * [backup-simplify]: Simplify re into re 3.141 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.141 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 3.141 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.141 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.142 * [backup-simplify]: Simplify (+ 0 0) into 0 3.142 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.142 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.142 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.142 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.142 * [taylor]: Taking taylor expansion of im in re 3.142 * [backup-simplify]: Simplify im into im 3.142 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.142 * [taylor]: Taking taylor expansion of re in re 3.142 * [backup-simplify]: Simplify 0 into 0 3.142 * [backup-simplify]: Simplify 1 into 1 3.142 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.142 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.142 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.142 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.143 * [backup-simplify]: Simplify (+ 0 0) into 0 3.143 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.143 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.143 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.143 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.143 * [taylor]: Taking taylor expansion of im in re 3.143 * [backup-simplify]: Simplify im into im 3.143 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.143 * [taylor]: Taking taylor expansion of re in re 3.143 * [backup-simplify]: Simplify 0 into 0 3.143 * [backup-simplify]: Simplify 1 into 1 3.143 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.143 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.143 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.143 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.144 * [backup-simplify]: Simplify (+ 0 0) into 0 3.144 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.144 * [taylor]: Taking taylor expansion of im in im 3.144 * [backup-simplify]: Simplify 0 into 0 3.144 * [backup-simplify]: Simplify 1 into 1 3.144 * [backup-simplify]: Simplify 0 into 0 3.144 * [taylor]: Taking taylor expansion of 0 in im 3.144 * [backup-simplify]: Simplify 0 into 0 3.144 * [backup-simplify]: Simplify 0 into 0 3.144 * [backup-simplify]: Simplify 1 into 1 3.144 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.145 * [backup-simplify]: Simplify (* 1 1) into 1 3.145 * [backup-simplify]: Simplify (+ 0 1) into 1 3.146 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.146 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.146 * [taylor]: Taking taylor expansion of 1/2 in im 3.146 * [backup-simplify]: Simplify 1/2 into 1/2 3.146 * [taylor]: Taking taylor expansion of im in im 3.146 * [backup-simplify]: Simplify 0 into 0 3.146 * [backup-simplify]: Simplify 1 into 1 3.146 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.146 * [backup-simplify]: Simplify 0 into 0 3.146 * [backup-simplify]: Simplify 0 into 0 3.146 * [backup-simplify]: Simplify 0 into 0 3.147 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.148 * [backup-simplify]: Simplify (+ 0 0) into 0 3.148 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.148 * [taylor]: Taking taylor expansion of 0 in im 3.148 * [backup-simplify]: Simplify 0 into 0 3.148 * [backup-simplify]: Simplify 0 into 0 3.148 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.148 * [backup-simplify]: Simplify 0 into 0 3.148 * [backup-simplify]: Simplify 0 into 0 3.148 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 3.149 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.149 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 3.149 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.149 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.149 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.149 * [taylor]: Taking taylor expansion of re in im 3.149 * [backup-simplify]: Simplify re into re 3.149 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.149 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.149 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.149 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.149 * [taylor]: Taking taylor expansion of im in im 3.149 * [backup-simplify]: Simplify 0 into 0 3.149 * [backup-simplify]: Simplify 1 into 1 3.149 * [backup-simplify]: Simplify (* 1 1) into 1 3.149 * [backup-simplify]: Simplify (/ 1 1) into 1 3.150 * [backup-simplify]: Simplify (+ 0 1) into 1 3.150 * [backup-simplify]: Simplify (sqrt 1) into 1 3.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.151 * [backup-simplify]: Simplify (+ 0 0) into 0 3.151 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.151 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.151 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.151 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.151 * [taylor]: Taking taylor expansion of re in re 3.151 * [backup-simplify]: Simplify 0 into 0 3.151 * [backup-simplify]: Simplify 1 into 1 3.152 * [backup-simplify]: Simplify (* 1 1) into 1 3.152 * [backup-simplify]: Simplify (/ 1 1) into 1 3.152 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.152 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.152 * [taylor]: Taking taylor expansion of im in re 3.152 * [backup-simplify]: Simplify im into im 3.152 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.152 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.152 * [backup-simplify]: Simplify (+ 1 0) into 1 3.153 * [backup-simplify]: Simplify (sqrt 1) into 1 3.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.154 * [backup-simplify]: Simplify (+ 0 0) into 0 3.154 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.154 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.154 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.154 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.154 * [taylor]: Taking taylor expansion of re in re 3.154 * [backup-simplify]: Simplify 0 into 0 3.154 * [backup-simplify]: Simplify 1 into 1 3.154 * [backup-simplify]: Simplify (* 1 1) into 1 3.155 * [backup-simplify]: Simplify (/ 1 1) into 1 3.155 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.155 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.155 * [taylor]: Taking taylor expansion of im in re 3.155 * [backup-simplify]: Simplify im into im 3.155 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.155 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.155 * [backup-simplify]: Simplify (+ 1 0) into 1 3.155 * [backup-simplify]: Simplify (sqrt 1) into 1 3.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.158 * [backup-simplify]: Simplify (+ 0 0) into 0 3.159 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.159 * [taylor]: Taking taylor expansion of 1 in im 3.159 * [backup-simplify]: Simplify 1 into 1 3.159 * [taylor]: Taking taylor expansion of 0 in im 3.159 * [backup-simplify]: Simplify 0 into 0 3.159 * [backup-simplify]: Simplify 1 into 1 3.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.160 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.161 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.161 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.161 * [taylor]: Taking taylor expansion of 1/2 in im 3.161 * [backup-simplify]: Simplify 1/2 into 1/2 3.161 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.161 * [taylor]: Taking taylor expansion of im in im 3.161 * [backup-simplify]: Simplify 0 into 0 3.161 * [backup-simplify]: Simplify 1 into 1 3.161 * [backup-simplify]: Simplify (* 1 1) into 1 3.162 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.162 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.162 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.163 * [backup-simplify]: Simplify 0 into 0 3.163 * [backup-simplify]: Simplify 0 into 0 3.163 * [backup-simplify]: Simplify 0 into 0 3.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.164 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.164 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.164 * [backup-simplify]: Simplify (+ 0 0) into 0 3.164 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.164 * [taylor]: Taking taylor expansion of 0 in im 3.164 * [backup-simplify]: Simplify 0 into 0 3.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.166 * [backup-simplify]: Simplify 0 into 0 3.166 * [backup-simplify]: Simplify 0 into 0 3.166 * [backup-simplify]: Simplify 0 into 0 3.166 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 3.166 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.166 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 3.166 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.166 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.166 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.166 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.166 * [taylor]: Taking taylor expansion of re in im 3.166 * [backup-simplify]: Simplify re into re 3.166 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.166 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.166 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.166 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.166 * [taylor]: Taking taylor expansion of im in im 3.166 * [backup-simplify]: Simplify 0 into 0 3.166 * [backup-simplify]: Simplify 1 into 1 3.166 * [backup-simplify]: Simplify (* 1 1) into 1 3.167 * [backup-simplify]: Simplify (/ 1 1) into 1 3.167 * [backup-simplify]: Simplify (+ 0 1) into 1 3.167 * [backup-simplify]: Simplify (sqrt 1) into 1 3.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.168 * [backup-simplify]: Simplify (+ 0 0) into 0 3.169 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.169 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.169 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.169 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.169 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.169 * [taylor]: Taking taylor expansion of re in re 3.169 * [backup-simplify]: Simplify 0 into 0 3.169 * [backup-simplify]: Simplify 1 into 1 3.169 * [backup-simplify]: Simplify (* 1 1) into 1 3.169 * [backup-simplify]: Simplify (/ 1 1) into 1 3.169 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.169 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.169 * [taylor]: Taking taylor expansion of im in re 3.169 * [backup-simplify]: Simplify im into im 3.169 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.169 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.170 * [backup-simplify]: Simplify (+ 1 0) into 1 3.170 * [backup-simplify]: Simplify (sqrt 1) into 1 3.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.171 * [backup-simplify]: Simplify (+ 0 0) into 0 3.171 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.171 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.171 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.171 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.171 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.171 * [taylor]: Taking taylor expansion of re in re 3.171 * [backup-simplify]: Simplify 0 into 0 3.171 * [backup-simplify]: Simplify 1 into 1 3.172 * [backup-simplify]: Simplify (* 1 1) into 1 3.172 * [backup-simplify]: Simplify (/ 1 1) into 1 3.172 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.172 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.172 * [taylor]: Taking taylor expansion of im in re 3.172 * [backup-simplify]: Simplify im into im 3.172 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.172 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.172 * [backup-simplify]: Simplify (+ 1 0) into 1 3.173 * [backup-simplify]: Simplify (sqrt 1) into 1 3.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.174 * [backup-simplify]: Simplify (+ 0 0) into 0 3.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.174 * [taylor]: Taking taylor expansion of 1 in im 3.174 * [backup-simplify]: Simplify 1 into 1 3.174 * [taylor]: Taking taylor expansion of 0 in im 3.174 * [backup-simplify]: Simplify 0 into 0 3.174 * [backup-simplify]: Simplify 1 into 1 3.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.176 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.177 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.177 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.177 * [taylor]: Taking taylor expansion of 1/2 in im 3.177 * [backup-simplify]: Simplify 1/2 into 1/2 3.177 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.177 * [taylor]: Taking taylor expansion of im in im 3.177 * [backup-simplify]: Simplify 0 into 0 3.177 * [backup-simplify]: Simplify 1 into 1 3.177 * [backup-simplify]: Simplify (* 1 1) into 1 3.177 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.178 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.178 * [backup-simplify]: Simplify 0 into 0 3.178 * [backup-simplify]: Simplify 0 into 0 3.178 * [backup-simplify]: Simplify 0 into 0 3.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.179 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.180 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.180 * [backup-simplify]: Simplify (+ 0 0) into 0 3.180 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.180 * [taylor]: Taking taylor expansion of 0 in im 3.180 * [backup-simplify]: Simplify 0 into 0 3.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.181 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.181 * [backup-simplify]: Simplify 0 into 0 3.181 * [backup-simplify]: Simplify 0 into 0 3.181 * [backup-simplify]: Simplify 0 into 0 3.181 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 3.182 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 3.182 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re) 3.182 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0 3.182 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 3.182 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 3.182 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 3.182 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.182 * [taylor]: Taking taylor expansion of im in im 3.182 * [backup-simplify]: Simplify 0 into 0 3.182 * [backup-simplify]: Simplify 1 into 1 3.182 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.182 * [taylor]: Taking taylor expansion of re in im 3.182 * [backup-simplify]: Simplify re into re 3.182 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.182 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 3.182 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.182 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.182 * [backup-simplify]: Simplify (+ 0 0) into 0 3.182 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.182 * [taylor]: Taking taylor expansion of re in im 3.183 * [backup-simplify]: Simplify re into re 3.183 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 3.183 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.183 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.183 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.183 * [taylor]: Taking taylor expansion of im in re 3.183 * [backup-simplify]: Simplify im into im 3.183 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.183 * [taylor]: Taking taylor expansion of re in re 3.183 * [backup-simplify]: Simplify 0 into 0 3.183 * [backup-simplify]: Simplify 1 into 1 3.183 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.183 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.183 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.183 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.183 * [backup-simplify]: Simplify (+ 0 0) into 0 3.183 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.183 * [taylor]: Taking taylor expansion of re in re 3.183 * [backup-simplify]: Simplify 0 into 0 3.183 * [backup-simplify]: Simplify 1 into 1 3.183 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 3.183 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.183 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.183 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.183 * [taylor]: Taking taylor expansion of im in re 3.183 * [backup-simplify]: Simplify im into im 3.183 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.183 * [taylor]: Taking taylor expansion of re in re 3.183 * [backup-simplify]: Simplify 0 into 0 3.183 * [backup-simplify]: Simplify 1 into 1 3.183 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.184 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.184 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.184 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.184 * [backup-simplify]: Simplify (+ 0 0) into 0 3.184 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.184 * [taylor]: Taking taylor expansion of re in re 3.184 * [backup-simplify]: Simplify 0 into 0 3.184 * [backup-simplify]: Simplify 1 into 1 3.184 * [backup-simplify]: Simplify (- 0) into 0 3.184 * [backup-simplify]: Simplify (+ im 0) into im 3.184 * [taylor]: Taking taylor expansion of im in im 3.184 * [backup-simplify]: Simplify 0 into 0 3.184 * [backup-simplify]: Simplify 1 into 1 3.184 * [backup-simplify]: Simplify 0 into 0 3.185 * [backup-simplify]: Simplify (- 1) into -1 3.185 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.185 * [taylor]: Taking taylor expansion of -1 in im 3.185 * [backup-simplify]: Simplify -1 into -1 3.185 * [backup-simplify]: Simplify -1 into -1 3.185 * [backup-simplify]: Simplify 1 into 1 3.185 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.185 * [backup-simplify]: Simplify (* 1 1) into 1 3.186 * [backup-simplify]: Simplify (+ 0 1) into 1 3.186 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.186 * [backup-simplify]: Simplify (- 0) into 0 3.186 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 3.187 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 3.187 * [taylor]: Taking taylor expansion of 1/2 in im 3.187 * [backup-simplify]: Simplify 1/2 into 1/2 3.187 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.187 * [taylor]: Taking taylor expansion of im in im 3.187 * [backup-simplify]: Simplify 0 into 0 3.187 * [backup-simplify]: Simplify 1 into 1 3.187 * [backup-simplify]: Simplify (/ 1 1) into 1 3.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.188 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.188 * [backup-simplify]: Simplify 0 into 0 3.188 * [backup-simplify]: Simplify 0 into 0 3.188 * [backup-simplify]: Simplify 0 into 0 3.188 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.189 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.189 * [backup-simplify]: Simplify (+ 0 0) into 0 3.189 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.189 * [backup-simplify]: Simplify (- 0) into 0 3.189 * [backup-simplify]: Simplify (+ 0 0) into 0 3.189 * [taylor]: Taking taylor expansion of 0 in im 3.189 * [backup-simplify]: Simplify 0 into 0 3.190 * [backup-simplify]: Simplify 0 into 0 3.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.191 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.191 * [backup-simplify]: Simplify 0 into 0 3.191 * [backup-simplify]: Simplify 0 into 0 3.191 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 3.191 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) 3.191 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 3.191 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 3.191 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.191 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.191 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.191 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.191 * [taylor]: Taking taylor expansion of re in im 3.191 * [backup-simplify]: Simplify re into re 3.191 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.191 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.191 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.191 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.191 * [taylor]: Taking taylor expansion of im in im 3.191 * [backup-simplify]: Simplify 0 into 0 3.191 * [backup-simplify]: Simplify 1 into 1 3.192 * [backup-simplify]: Simplify (* 1 1) into 1 3.192 * [backup-simplify]: Simplify (/ 1 1) into 1 3.192 * [backup-simplify]: Simplify (+ 0 1) into 1 3.192 * [backup-simplify]: Simplify (sqrt 1) into 1 3.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.194 * [backup-simplify]: Simplify (+ 0 0) into 0 3.194 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.194 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.194 * [taylor]: Taking taylor expansion of re in im 3.194 * [backup-simplify]: Simplify re into re 3.194 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.195 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 3.195 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.195 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.195 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.195 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.195 * [taylor]: Taking taylor expansion of re in re 3.195 * [backup-simplify]: Simplify 0 into 0 3.195 * [backup-simplify]: Simplify 1 into 1 3.195 * [backup-simplify]: Simplify (* 1 1) into 1 3.195 * [backup-simplify]: Simplify (/ 1 1) into 1 3.195 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.195 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.196 * [taylor]: Taking taylor expansion of im in re 3.196 * [backup-simplify]: Simplify im into im 3.196 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.196 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.196 * [backup-simplify]: Simplify (+ 1 0) into 1 3.197 * [backup-simplify]: Simplify (sqrt 1) into 1 3.197 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.198 * [backup-simplify]: Simplify (+ 0 0) into 0 3.199 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.199 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.199 * [taylor]: Taking taylor expansion of re in re 3.199 * [backup-simplify]: Simplify 0 into 0 3.199 * [backup-simplify]: Simplify 1 into 1 3.200 * [backup-simplify]: Simplify (/ 1 1) into 1 3.200 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 3.200 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.200 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.200 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.200 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.200 * [taylor]: Taking taylor expansion of re in re 3.200 * [backup-simplify]: Simplify 0 into 0 3.200 * [backup-simplify]: Simplify 1 into 1 3.200 * [backup-simplify]: Simplify (* 1 1) into 1 3.201 * [backup-simplify]: Simplify (/ 1 1) into 1 3.201 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.201 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.201 * [taylor]: Taking taylor expansion of im in re 3.201 * [backup-simplify]: Simplify im into im 3.201 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.201 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.201 * [backup-simplify]: Simplify (+ 1 0) into 1 3.202 * [backup-simplify]: Simplify (sqrt 1) into 1 3.202 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.203 * [backup-simplify]: Simplify (+ 0 0) into 0 3.204 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.204 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.204 * [taylor]: Taking taylor expansion of re in re 3.204 * [backup-simplify]: Simplify 0 into 0 3.204 * [backup-simplify]: Simplify 1 into 1 3.205 * [backup-simplify]: Simplify (/ 1 1) into 1 3.205 * [backup-simplify]: Simplify (- 1) into -1 3.206 * [backup-simplify]: Simplify (+ 1 -1) into 0 3.206 * [taylor]: Taking taylor expansion of 0 in im 3.206 * [backup-simplify]: Simplify 0 into 0 3.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.207 * [backup-simplify]: Simplify (- 0) into 0 3.207 * [backup-simplify]: Simplify (+ 0 0) into 0 3.207 * [taylor]: Taking taylor expansion of 0 in im 3.207 * [backup-simplify]: Simplify 0 into 0 3.207 * [backup-simplify]: Simplify 0 into 0 3.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.209 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.210 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.212 * [backup-simplify]: Simplify (- 0) into 0 3.212 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 3.212 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 3.212 * [taylor]: Taking taylor expansion of 1/2 in im 3.212 * [backup-simplify]: Simplify 1/2 into 1/2 3.212 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.212 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.212 * [taylor]: Taking taylor expansion of im in im 3.212 * [backup-simplify]: Simplify 0 into 0 3.212 * [backup-simplify]: Simplify 1 into 1 3.212 * [backup-simplify]: Simplify (* 1 1) into 1 3.213 * [backup-simplify]: Simplify (/ 1 1) into 1 3.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.215 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.215 * [backup-simplify]: Simplify 0 into 0 3.215 * [backup-simplify]: Simplify 0 into 0 3.215 * [backup-simplify]: Simplify 0 into 0 3.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.218 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.218 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.218 * [backup-simplify]: Simplify (+ 0 0) into 0 3.219 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.220 * [backup-simplify]: Simplify (- 0) into 0 3.220 * [backup-simplify]: Simplify (+ 0 0) into 0 3.220 * [taylor]: Taking taylor expansion of 0 in im 3.220 * [backup-simplify]: Simplify 0 into 0 3.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.223 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.223 * [backup-simplify]: Simplify 0 into 0 3.223 * [backup-simplify]: Simplify 0 into 0 3.223 * [backup-simplify]: Simplify 0 into 0 3.224 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) 3.224 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 3.224 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 3.224 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.224 * [taylor]: Taking taylor expansion of re in im 3.224 * [backup-simplify]: Simplify re into re 3.224 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.224 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.224 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.224 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.225 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.225 * [taylor]: Taking taylor expansion of re in im 3.225 * [backup-simplify]: Simplify re into re 3.225 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.225 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.225 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.225 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.225 * [taylor]: Taking taylor expansion of im in im 3.225 * [backup-simplify]: Simplify 0 into 0 3.225 * [backup-simplify]: Simplify 1 into 1 3.225 * [backup-simplify]: Simplify (* 1 1) into 1 3.226 * [backup-simplify]: Simplify (/ 1 1) into 1 3.226 * [backup-simplify]: Simplify (+ 0 1) into 1 3.226 * [backup-simplify]: Simplify (sqrt 1) into 1 3.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.228 * [backup-simplify]: Simplify (+ 0 0) into 0 3.229 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.229 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 3.229 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.229 * [taylor]: Taking taylor expansion of re in re 3.229 * [backup-simplify]: Simplify 0 into 0 3.229 * [backup-simplify]: Simplify 1 into 1 3.230 * [backup-simplify]: Simplify (/ 1 1) into 1 3.230 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.230 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.230 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.230 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.230 * [taylor]: Taking taylor expansion of re in re 3.230 * [backup-simplify]: Simplify 0 into 0 3.230 * [backup-simplify]: Simplify 1 into 1 3.230 * [backup-simplify]: Simplify (* 1 1) into 1 3.230 * [backup-simplify]: Simplify (/ 1 1) into 1 3.231 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.231 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.231 * [taylor]: Taking taylor expansion of im in re 3.231 * [backup-simplify]: Simplify im into im 3.231 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.231 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.231 * [backup-simplify]: Simplify (+ 1 0) into 1 3.232 * [backup-simplify]: Simplify (sqrt 1) into 1 3.232 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.233 * [backup-simplify]: Simplify (+ 0 0) into 0 3.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.234 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 3.234 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.234 * [taylor]: Taking taylor expansion of re in re 3.234 * [backup-simplify]: Simplify 0 into 0 3.234 * [backup-simplify]: Simplify 1 into 1 3.235 * [backup-simplify]: Simplify (/ 1 1) into 1 3.235 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.235 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.235 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.235 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.235 * [taylor]: Taking taylor expansion of re in re 3.235 * [backup-simplify]: Simplify 0 into 0 3.235 * [backup-simplify]: Simplify 1 into 1 3.235 * [backup-simplify]: Simplify (* 1 1) into 1 3.236 * [backup-simplify]: Simplify (/ 1 1) into 1 3.236 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.236 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.236 * [taylor]: Taking taylor expansion of im in re 3.236 * [backup-simplify]: Simplify im into im 3.236 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.236 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.236 * [backup-simplify]: Simplify (+ 1 0) into 1 3.237 * [backup-simplify]: Simplify (sqrt 1) into 1 3.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.238 * [backup-simplify]: Simplify (+ 0 0) into 0 3.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.240 * [backup-simplify]: Simplify (+ 1 1) into 2 3.240 * [taylor]: Taking taylor expansion of 2 in im 3.240 * [backup-simplify]: Simplify 2 into 2 3.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.241 * [backup-simplify]: Simplify (+ 0 0) into 0 3.241 * [taylor]: Taking taylor expansion of 0 in im 3.241 * [backup-simplify]: Simplify 0 into 0 3.241 * [backup-simplify]: Simplify 2 into 2 3.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.244 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.246 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.246 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 3.246 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 3.246 * [taylor]: Taking taylor expansion of 1/2 in im 3.246 * [backup-simplify]: Simplify 1/2 into 1/2 3.246 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.246 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.246 * [taylor]: Taking taylor expansion of im in im 3.246 * [backup-simplify]: Simplify 0 into 0 3.246 * [backup-simplify]: Simplify 1 into 1 3.246 * [backup-simplify]: Simplify (* 1 1) into 1 3.247 * [backup-simplify]: Simplify (/ 1 1) into 1 3.247 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.249 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.249 * [backup-simplify]: Simplify 0 into 0 3.249 * [backup-simplify]: Simplify 0 into 0 3.249 * [backup-simplify]: Simplify 0 into 0 3.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.252 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.253 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.253 * [backup-simplify]: Simplify (+ 0 0) into 0 3.254 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.254 * [backup-simplify]: Simplify (+ 0 0) into 0 3.254 * [taylor]: Taking taylor expansion of 0 in im 3.254 * [backup-simplify]: Simplify 0 into 0 3.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.257 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.257 * [backup-simplify]: Simplify 0 into 0 3.257 * [backup-simplify]: Simplify 0 into 0 3.257 * [backup-simplify]: Simplify 0 into 0 3.257 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 3.257 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1) 3.258 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow im 2) (pow re 2))) 3.258 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 3.258 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 3.258 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 3.258 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.258 * [taylor]: Taking taylor expansion of im in im 3.258 * [backup-simplify]: Simplify 0 into 0 3.258 * [backup-simplify]: Simplify 1 into 1 3.258 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.258 * [taylor]: Taking taylor expansion of re in im 3.258 * [backup-simplify]: Simplify re into re 3.258 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.258 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 3.258 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.258 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.259 * [backup-simplify]: Simplify (+ 0 0) into 0 3.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.259 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.259 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.259 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.259 * [taylor]: Taking taylor expansion of im in re 3.259 * [backup-simplify]: Simplify im into im 3.259 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.259 * [taylor]: Taking taylor expansion of re in re 3.259 * [backup-simplify]: Simplify 0 into 0 3.259 * [backup-simplify]: Simplify 1 into 1 3.259 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.259 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.259 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.259 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.260 * [backup-simplify]: Simplify (+ 0 0) into 0 3.260 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.260 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.260 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.260 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.260 * [taylor]: Taking taylor expansion of im in re 3.260 * [backup-simplify]: Simplify im into im 3.260 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.260 * [taylor]: Taking taylor expansion of re in re 3.260 * [backup-simplify]: Simplify 0 into 0 3.260 * [backup-simplify]: Simplify 1 into 1 3.260 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.260 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.261 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.261 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.261 * [backup-simplify]: Simplify (+ 0 0) into 0 3.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.261 * [taylor]: Taking taylor expansion of im in im 3.261 * [backup-simplify]: Simplify 0 into 0 3.262 * [backup-simplify]: Simplify 1 into 1 3.262 * [backup-simplify]: Simplify 0 into 0 3.262 * [taylor]: Taking taylor expansion of 0 in im 3.262 * [backup-simplify]: Simplify 0 into 0 3.262 * [backup-simplify]: Simplify 0 into 0 3.262 * [backup-simplify]: Simplify 1 into 1 3.262 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.263 * [backup-simplify]: Simplify (* 1 1) into 1 3.263 * [backup-simplify]: Simplify (+ 0 1) into 1 3.264 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.264 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.264 * [taylor]: Taking taylor expansion of 1/2 in im 3.264 * [backup-simplify]: Simplify 1/2 into 1/2 3.264 * [taylor]: Taking taylor expansion of im in im 3.264 * [backup-simplify]: Simplify 0 into 0 3.264 * [backup-simplify]: Simplify 1 into 1 3.265 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.266 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.266 * [backup-simplify]: Simplify 0 into 0 3.266 * [backup-simplify]: Simplify 0 into 0 3.266 * [backup-simplify]: Simplify 0 into 0 3.267 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.268 * [backup-simplify]: Simplify (+ 0 0) into 0 3.268 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.268 * [taylor]: Taking taylor expansion of 0 in im 3.268 * [backup-simplify]: Simplify 0 into 0 3.268 * [backup-simplify]: Simplify 0 into 0 3.269 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.269 * [backup-simplify]: Simplify 0 into 0 3.269 * [backup-simplify]: Simplify 0 into 0 3.269 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 3.270 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.270 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 3.270 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.270 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.270 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.270 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.270 * [taylor]: Taking taylor expansion of re in im 3.270 * [backup-simplify]: Simplify re into re 3.270 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.270 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.270 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.270 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.270 * [taylor]: Taking taylor expansion of im in im 3.270 * [backup-simplify]: Simplify 0 into 0 3.270 * [backup-simplify]: Simplify 1 into 1 3.271 * [backup-simplify]: Simplify (* 1 1) into 1 3.271 * [backup-simplify]: Simplify (/ 1 1) into 1 3.271 * [backup-simplify]: Simplify (+ 0 1) into 1 3.272 * [backup-simplify]: Simplify (sqrt 1) into 1 3.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.274 * [backup-simplify]: Simplify (+ 0 0) into 0 3.274 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.274 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.274 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.274 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.274 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.274 * [taylor]: Taking taylor expansion of re in re 3.274 * [backup-simplify]: Simplify 0 into 0 3.274 * [backup-simplify]: Simplify 1 into 1 3.275 * [backup-simplify]: Simplify (* 1 1) into 1 3.276 * [backup-simplify]: Simplify (/ 1 1) into 1 3.276 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.276 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.276 * [taylor]: Taking taylor expansion of im in re 3.276 * [backup-simplify]: Simplify im into im 3.276 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.276 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.276 * [backup-simplify]: Simplify (+ 1 0) into 1 3.277 * [backup-simplify]: Simplify (sqrt 1) into 1 3.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.278 * [backup-simplify]: Simplify (+ 0 0) into 0 3.279 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.279 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.279 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.279 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.279 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.279 * [taylor]: Taking taylor expansion of re in re 3.279 * [backup-simplify]: Simplify 0 into 0 3.279 * [backup-simplify]: Simplify 1 into 1 3.280 * [backup-simplify]: Simplify (* 1 1) into 1 3.280 * [backup-simplify]: Simplify (/ 1 1) into 1 3.280 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.280 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.280 * [taylor]: Taking taylor expansion of im in re 3.280 * [backup-simplify]: Simplify im into im 3.280 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.280 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.281 * [backup-simplify]: Simplify (+ 1 0) into 1 3.281 * [backup-simplify]: Simplify (sqrt 1) into 1 3.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.285 * [backup-simplify]: Simplify (+ 0 0) into 0 3.286 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.286 * [taylor]: Taking taylor expansion of 1 in im 3.286 * [backup-simplify]: Simplify 1 into 1 3.286 * [taylor]: Taking taylor expansion of 0 in im 3.286 * [backup-simplify]: Simplify 0 into 0 3.286 * [backup-simplify]: Simplify 1 into 1 3.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.288 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.289 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.289 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.289 * [taylor]: Taking taylor expansion of 1/2 in im 3.289 * [backup-simplify]: Simplify 1/2 into 1/2 3.289 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.289 * [taylor]: Taking taylor expansion of im in im 3.289 * [backup-simplify]: Simplify 0 into 0 3.289 * [backup-simplify]: Simplify 1 into 1 3.289 * [backup-simplify]: Simplify (* 1 1) into 1 3.290 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.290 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.291 * [backup-simplify]: Simplify 0 into 0 3.291 * [backup-simplify]: Simplify 0 into 0 3.291 * [backup-simplify]: Simplify 0 into 0 3.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.293 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.293 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.294 * [backup-simplify]: Simplify (+ 0 0) into 0 3.294 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.294 * [taylor]: Taking taylor expansion of 0 in im 3.294 * [backup-simplify]: Simplify 0 into 0 3.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.296 * [backup-simplify]: Simplify 0 into 0 3.296 * [backup-simplify]: Simplify 0 into 0 3.297 * [backup-simplify]: Simplify 0 into 0 3.297 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 3.297 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.297 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 3.297 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.297 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.297 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.297 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.297 * [taylor]: Taking taylor expansion of re in im 3.297 * [backup-simplify]: Simplify re into re 3.298 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.298 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.298 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.298 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.298 * [taylor]: Taking taylor expansion of im in im 3.298 * [backup-simplify]: Simplify 0 into 0 3.298 * [backup-simplify]: Simplify 1 into 1 3.298 * [backup-simplify]: Simplify (* 1 1) into 1 3.299 * [backup-simplify]: Simplify (/ 1 1) into 1 3.299 * [backup-simplify]: Simplify (+ 0 1) into 1 3.299 * [backup-simplify]: Simplify (sqrt 1) into 1 3.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.301 * [backup-simplify]: Simplify (+ 0 0) into 0 3.302 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.302 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.302 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.302 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.302 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.302 * [taylor]: Taking taylor expansion of re in re 3.302 * [backup-simplify]: Simplify 0 into 0 3.302 * [backup-simplify]: Simplify 1 into 1 3.302 * [backup-simplify]: Simplify (* 1 1) into 1 3.303 * [backup-simplify]: Simplify (/ 1 1) into 1 3.303 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.303 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.303 * [taylor]: Taking taylor expansion of im in re 3.303 * [backup-simplify]: Simplify im into im 3.303 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.303 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.303 * [backup-simplify]: Simplify (+ 1 0) into 1 3.304 * [backup-simplify]: Simplify (sqrt 1) into 1 3.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.305 * [backup-simplify]: Simplify (+ 0 0) into 0 3.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.306 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.306 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.306 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.306 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.306 * [taylor]: Taking taylor expansion of re in re 3.306 * [backup-simplify]: Simplify 0 into 0 3.306 * [backup-simplify]: Simplify 1 into 1 3.307 * [backup-simplify]: Simplify (* 1 1) into 1 3.307 * [backup-simplify]: Simplify (/ 1 1) into 1 3.307 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.307 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.307 * [taylor]: Taking taylor expansion of im in re 3.307 * [backup-simplify]: Simplify im into im 3.307 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.307 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.308 * [backup-simplify]: Simplify (+ 1 0) into 1 3.308 * [backup-simplify]: Simplify (sqrt 1) into 1 3.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.310 * [backup-simplify]: Simplify (+ 0 0) into 0 3.311 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.311 * [taylor]: Taking taylor expansion of 1 in im 3.311 * [backup-simplify]: Simplify 1 into 1 3.311 * [taylor]: Taking taylor expansion of 0 in im 3.311 * [backup-simplify]: Simplify 0 into 0 3.311 * [backup-simplify]: Simplify 1 into 1 3.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.314 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.315 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.315 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.315 * [taylor]: Taking taylor expansion of 1/2 in im 3.315 * [backup-simplify]: Simplify 1/2 into 1/2 3.315 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.315 * [taylor]: Taking taylor expansion of im in im 3.315 * [backup-simplify]: Simplify 0 into 0 3.315 * [backup-simplify]: Simplify 1 into 1 3.315 * [backup-simplify]: Simplify (* 1 1) into 1 3.316 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.317 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.318 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.318 * [backup-simplify]: Simplify 0 into 0 3.318 * [backup-simplify]: Simplify 0 into 0 3.318 * [backup-simplify]: Simplify 0 into 0 3.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.320 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.320 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.321 * [backup-simplify]: Simplify (+ 0 0) into 0 3.321 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.321 * [taylor]: Taking taylor expansion of 0 in im 3.321 * [backup-simplify]: Simplify 0 into 0 3.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.323 * [backup-simplify]: Simplify 0 into 0 3.323 * [backup-simplify]: Simplify 0 into 0 3.323 * [backup-simplify]: Simplify 0 into 0 3.323 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 3.323 * * * [progress]: simplifying candidates 3.323 * * * * [progress]: [ 1 / 142 ] simplifiying candidate # 3.324 * * * * [progress]: [ 2 / 142 ] simplifiying candidate # 3.324 * * * * [progress]: [ 3 / 142 ] simplifiying candidate # 3.324 * * * * [progress]: [ 4 / 142 ] simplifiying candidate # 3.324 * * * * [progress]: [ 5 / 142 ] simplifiying candidate # 3.324 * * * * [progress]: [ 6 / 142 ] simplifiying candidate # 3.324 * * * * [progress]: [ 7 / 142 ] simplifiying candidate # 3.324 * * * * [progress]: [ 8 / 142 ] simplifiying candidate # 3.324 * * * * [progress]: [ 9 / 142 ] simplifiying candidate # 3.324 * * * * [progress]: [ 10 / 142 ] simplifiying candidate # 3.324 * * * * [progress]: [ 11 / 142 ] simplifiying candidate # 3.324 * * * * [progress]: [ 12 / 142 ] simplifiying candidate # 3.324 * * * * [progress]: [ 13 / 142 ] simplifiying candidate # 3.324 * * * * [progress]: [ 14 / 142 ] simplifiying candidate # 3.324 * * * * [progress]: [ 15 / 142 ] simplifiying candidate # 3.325 * * * * [progress]: [ 16 / 142 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))) re)))))> 3.325 * * * * [progress]: [ 17 / 142 ] simplifiying candidate # 3.325 * * * * [progress]: [ 18 / 142 ] simplifiying candidate # 3.325 * * * * [progress]: [ 19 / 142 ] simplifiying candidate # 3.325 * * * * [progress]: [ 20 / 142 ] simplifiying candidate # 3.325 * * * * [progress]: [ 21 / 142 ] simplifiying candidate # 3.325 * * * * [progress]: [ 22 / 142 ] simplifiying candidate # 3.325 * * * * [progress]: [ 23 / 142 ] simplifiying candidate # 3.325 * * * * [progress]: [ 24 / 142 ] simplifiying candidate # 3.326 * * * * [progress]: [ 25 / 142 ] simplifiying candidate # 3.326 * * * * [progress]: [ 26 / 142 ] simplifiying candidate # 3.326 * * * * [progress]: [ 27 / 142 ] simplifiying candidate # 3.326 * * * * [progress]: [ 28 / 142 ] simplifiying candidate # 3.326 * * * * [progress]: [ 29 / 142 ] simplifiying candidate # 3.326 * * * * [progress]: [ 30 / 142 ] simplifiying candidate # 3.326 * * * * [progress]: [ 31 / 142 ] simplifiying candidate # 3.326 * * * * [progress]: [ 32 / 142 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> 3.326 * * * * [progress]: [ 33 / 142 ] simplifiying candidate # 3.326 * * * * [progress]: [ 34 / 142 ] simplifiying candidate # 3.327 * * * * [progress]: [ 35 / 142 ] simplifiying candidate # 3.327 * * * * [progress]: [ 36 / 142 ] simplifiying candidate # 3.327 * * * * [progress]: [ 37 / 142 ] simplifiying candidate # 3.327 * * * * [progress]: [ 38 / 142 ] simplifiying candidate # 3.327 * * * * [progress]: [ 39 / 142 ] simplifiying candidate # 3.327 * * * * [progress]: [ 40 / 142 ] simplifiying candidate # 3.327 * * * * [progress]: [ 41 / 142 ] simplifiying candidate # 3.327 * * * * [progress]: [ 42 / 142 ] simplifiying candidate # 3.327 * * * * [progress]: [ 43 / 142 ] simplifiying candidate # 3.327 * * * * [progress]: [ 44 / 142 ] simplifiying candidate # 3.327 * * * * [progress]: [ 45 / 142 ] simplifiying candidate # 3.327 * * * * [progress]: [ 46 / 142 ] simplifiying candidate #real (real->posit16 (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> 3.327 * * * * [progress]: [ 47 / 142 ] simplifiying candidate # 3.328 * * * * [progress]: [ 48 / 142 ] simplifiying candidate # 3.328 * * * * [progress]: [ 49 / 142 ] simplifiying candidate # 3.328 * * * * [progress]: [ 50 / 142 ] simplifiying candidate # 3.328 * * * * [progress]: [ 51 / 142 ] simplifiying candidate # 3.328 * * * * [progress]: [ 52 / 142 ] simplifiying candidate # 3.328 * * * * [progress]: [ 53 / 142 ] simplifiying candidate # 3.328 * * * * [progress]: [ 54 / 142 ] simplifiying candidate # 3.328 * * * * [progress]: [ 55 / 142 ] simplifiying candidate # 3.328 * * * * [progress]: [ 56 / 142 ] simplifiying candidate # 3.328 * * * * [progress]: [ 57 / 142 ] simplifiying candidate # 3.328 * * * * [progress]: [ 58 / 142 ] simplifiying candidate # 3.328 * * * * [progress]: [ 59 / 142 ] simplifiying candidate # 3.328 * * * * [progress]: [ 60 / 142 ] simplifiying candidate # 3.328 * * * * [progress]: [ 61 / 142 ] simplifiying candidate # 3.329 * * * * [progress]: [ 62 / 142 ] simplifiying candidate # 3.329 * * * * [progress]: [ 63 / 142 ] simplifiying candidate # 3.329 * * * * [progress]: [ 64 / 142 ] simplifiying candidate # 3.329 * * * * [progress]: [ 65 / 142 ] simplifiying candidate # 3.329 * * * * [progress]: [ 66 / 142 ] simplifiying candidate # 3.329 * * * * [progress]: [ 67 / 142 ] simplifiying candidate # 3.329 * * * * [progress]: [ 68 / 142 ] simplifiying candidate # 3.329 * * * * [progress]: [ 69 / 142 ] simplifiying candidate # 3.329 * * * * [progress]: [ 70 / 142 ] simplifiying candidate # 3.329 * * * * [progress]: [ 71 / 142 ] simplifiying candidate # 3.329 * * * * [progress]: [ 72 / 142 ] simplifiying candidate # 3.329 * * * * [progress]: [ 73 / 142 ] simplifiying candidate # 3.329 * * * * [progress]: [ 74 / 142 ] simplifiying candidate # 3.329 * * * * [progress]: [ 75 / 142 ] simplifiying candidate # 3.330 * * * * [progress]: [ 76 / 142 ] simplifiying candidate # 3.330 * * * * [progress]: [ 77 / 142 ] simplifiying candidate # 3.330 * * * * [progress]: [ 78 / 142 ] simplifiying candidate # 3.330 * * * * [progress]: [ 79 / 142 ] simplifiying candidate # 3.330 * * * * [progress]: [ 80 / 142 ] simplifiying candidate # 3.330 * * * * [progress]: [ 81 / 142 ] simplifiying candidate # 3.330 * * * * [progress]: [ 82 / 142 ] simplifiying candidate # 3.330 * * * * [progress]: [ 83 / 142 ] simplifiying candidate # 3.330 * * * * [progress]: [ 84 / 142 ] simplifiying candidate # 3.330 * * * * [progress]: [ 85 / 142 ] simplifiying candidate # 3.330 * * * * [progress]: [ 86 / 142 ] simplifiying candidate # 3.331 * * * * [progress]: [ 87 / 142 ] simplifiying candidate # 3.331 * * * * [progress]: [ 88 / 142 ] simplifiying candidate # 3.331 * * * * [progress]: [ 89 / 142 ] simplifiying candidate # 3.331 * * * * [progress]: [ 90 / 142 ] simplifiying candidate # 3.331 * * * * [progress]: [ 91 / 142 ] simplifiying candidate # 3.331 * * * * [progress]: [ 92 / 142 ] simplifiying candidate # 3.331 * * * * [progress]: [ 93 / 142 ] simplifiying candidate # 3.331 * * * * [progress]: [ 94 / 142 ] simplifiying candidate # 3.331 * * * * [progress]: [ 95 / 142 ] simplifiying candidate # 3.331 * * * * [progress]: [ 96 / 142 ] simplifiying candidate # 3.331 * * * * [progress]: [ 97 / 142 ] simplifiying candidate # 3.331 * * * * [progress]: [ 98 / 142 ] simplifiying candidate # 3.331 * * * * [progress]: [ 99 / 142 ] simplifiying candidate # 3.332 * * * * [progress]: [ 100 / 142 ] simplifiying candidate # 3.332 * * * * [progress]: [ 101 / 142 ] simplifiying candidate # 3.332 * * * * [progress]: [ 102 / 142 ] simplifiying candidate # 3.332 * * * * [progress]: [ 103 / 142 ] simplifiying candidate # 3.332 * * * * [progress]: [ 104 / 142 ] simplifiying candidate # 3.332 * * * * [progress]: [ 105 / 142 ] simplifiying candidate # 3.332 * * * * [progress]: [ 106 / 142 ] simplifiying candidate # 3.332 * * * * [progress]: [ 107 / 142 ] simplifiying candidate # 3.332 * * * * [progress]: [ 108 / 142 ] simplifiying candidate # 3.332 * * * * [progress]: [ 109 / 142 ] simplifiying candidate # 3.332 * * * * [progress]: [ 110 / 142 ] simplifiying candidate # 3.332 * * * * [progress]: [ 111 / 142 ] simplifiying candidate # 3.332 * * * * [progress]: [ 112 / 142 ] simplifiying candidate # 3.332 * * * * [progress]: [ 113 / 142 ] simplifiying candidate # 3.333 * * * * [progress]: [ 114 / 142 ] simplifiying candidate # 3.333 * * * * [progress]: [ 115 / 142 ] simplifiying candidate # 3.333 * * * * [progress]: [ 116 / 142 ] simplifiying candidate # 3.333 * * * * [progress]: [ 117 / 142 ] simplifiying candidate # 3.333 * * * * [progress]: [ 118 / 142 ] simplifiying candidate # 3.333 * * * * [progress]: [ 119 / 142 ] simplifiying candidate # 3.333 * * * * [progress]: [ 120 / 142 ] simplifiying candidate # 3.333 * * * * [progress]: [ 121 / 142 ] simplifiying candidate # 3.333 * * * * [progress]: [ 122 / 142 ] simplifiying candidate # 3.333 * * * * [progress]: [ 123 / 142 ] simplifiying candidate # 3.333 * * * * [progress]: [ 124 / 142 ] simplifiying candidate # 3.333 * * * * [progress]: [ 125 / 142 ] simplifiying candidate # 3.333 * * * * [progress]: [ 126 / 142 ] simplifiying candidate # 3.333 * * * * [progress]: [ 127 / 142 ] simplifiying candidate # 3.334 * * * * [progress]: [ 128 / 142 ] simplifiying candidate # 3.334 * * * * [progress]: [ 129 / 142 ] simplifiying candidate #real (real->posit16 (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))> 3.334 * * * * [progress]: [ 130 / 142 ] simplifiying candidate # 3.334 * * * * [progress]: [ 131 / 142 ] simplifiying candidate # 3.334 * * * * [progress]: [ 132 / 142 ] simplifiying candidate # 3.334 * * * * [progress]: [ 133 / 142 ] simplifiying candidate # 3.334 * * * * [progress]: [ 134 / 142 ] simplifiying candidate # 3.334 * * * * [progress]: [ 135 / 142 ] simplifiying candidate # 3.334 * * * * [progress]: [ 136 / 142 ] simplifiying candidate # 3.334 * * * * [progress]: [ 137 / 142 ] simplifiying candidate # 3.334 * * * * [progress]: [ 138 / 142 ] simplifiying candidate # 3.334 * * * * [progress]: [ 139 / 142 ] simplifiying candidate # 3.334 * * * * [progress]: [ 140 / 142 ] simplifiying candidate # 3.334 * * * * [progress]: [ 141 / 142 ] simplifiying candidate # 3.334 * * * * [progress]: [ 142 / 142 ] simplifiying candidate # 3.337 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* 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im) (* re re)))) (sqrt (sqrt (sqrt (+ (* im im) (* re re)))))) (sqrt (sqrt (+ (* im im) (* re re)))) (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (sqrt (+ (* im im) (* re re)))))) (sqrt (sqrt (+ (* im im) (* re re)))) (* (sqrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (sqrt (+ (* im im) (* re re)))))) (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (cbrt (sqrt (+ (* im im) (* re re)))))) (* (sqrt (sqrt (cbrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re))))) (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (sqrt (+ (* im im) (* re re)))))) (sqrt (+ (* im im) (* re re))) (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (sqrt (+ (* im im) (* re re)))))) (sqrt (+ (* im im) (* re re))) (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (sqrt (+ (* im im) (* re re)))))) (sqrt (+ (* im im) (* re re))) (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* (* im im) (* im im)) (* im im)))))) (* (sqrt (sqrt (* (+ (* im im) (* re re)) (- (* re re) (* im im))))) (sqrt (sqrt (+ (* im im) (* re re))))) (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* (* im im) (* im im)) (* im im)))))) (* (sqrt (sqrt (* (+ (* im im) (* re re)) (- (* re re) (* im im))))) (sqrt (sqrt (+ (* im im) (* re re))))) (real->posit16 (sqrt (+ (* im im) (* re re)))) im re (- re) im re (- re) (- im re) 0 (* -2 re) im re (- re) 5.310 * * * [progress]: adding candidates to table 5.967 * * [progress]: iteration 3 / 4 5.967 * * * [progress]: picking best candidate 5.988 * * * * [pick]: Picked # 5.988 * * * [progress]: localizing error 6.067 * * * [progress]: generating rewritten candidates 6.067 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1 1 2 1) 6.073 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2 1 1 1 1) 6.079 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 2 1 1 2 1) 6.085 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 2 1 1 1 1) 6.092 * * * [progress]: generating series expansions 6.092 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1 1 2 1) 6.092 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 6.092 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 6.092 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 6.092 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 6.092 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.092 * [taylor]: Taking taylor expansion of im in im 6.092 * [backup-simplify]: Simplify 0 into 0 6.092 * [backup-simplify]: Simplify 1 into 1 6.092 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.092 * [taylor]: Taking taylor expansion of re in im 6.092 * [backup-simplify]: Simplify re into re 6.092 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.092 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 6.092 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 6.092 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.093 * [backup-simplify]: Simplify (+ 0 0) into 0 6.093 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 6.093 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 6.093 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 6.093 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.093 * [taylor]: Taking taylor expansion of im in re 6.093 * [backup-simplify]: Simplify im into im 6.093 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.093 * [taylor]: Taking taylor expansion of re in re 6.093 * [backup-simplify]: Simplify 0 into 0 6.093 * [backup-simplify]: Simplify 1 into 1 6.093 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.093 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 6.094 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.094 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.094 * [backup-simplify]: Simplify (+ 0 0) into 0 6.094 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.094 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 6.094 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 6.094 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.094 * [taylor]: Taking taylor expansion of im in re 6.094 * [backup-simplify]: Simplify im into im 6.094 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.094 * [taylor]: Taking taylor expansion of re in re 6.094 * [backup-simplify]: Simplify 0 into 0 6.094 * [backup-simplify]: Simplify 1 into 1 6.095 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.095 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 6.095 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.095 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.095 * [backup-simplify]: Simplify (+ 0 0) into 0 6.095 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.095 * [taylor]: Taking taylor expansion of im in im 6.095 * [backup-simplify]: Simplify 0 into 0 6.095 * [backup-simplify]: Simplify 1 into 1 6.095 * [backup-simplify]: Simplify 0 into 0 6.096 * [taylor]: Taking taylor expansion of 0 in im 6.096 * [backup-simplify]: Simplify 0 into 0 6.096 * [backup-simplify]: Simplify 0 into 0 6.096 * [backup-simplify]: Simplify 1 into 1 6.096 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.097 * [backup-simplify]: Simplify (* 1 1) into 1 6.097 * [backup-simplify]: Simplify (+ 0 1) into 1 6.098 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 6.098 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 6.098 * [taylor]: Taking taylor expansion of 1/2 in im 6.098 * [backup-simplify]: Simplify 1/2 into 1/2 6.098 * [taylor]: Taking taylor expansion of im in im 6.098 * [backup-simplify]: Simplify 0 into 0 6.098 * [backup-simplify]: Simplify 1 into 1 6.098 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.099 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.099 * [backup-simplify]: Simplify 0 into 0 6.099 * [backup-simplify]: Simplify 0 into 0 6.099 * [backup-simplify]: Simplify 0 into 0 6.100 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 6.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.101 * [backup-simplify]: Simplify (+ 0 0) into 0 6.102 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 6.102 * [taylor]: Taking taylor expansion of 0 in im 6.102 * [backup-simplify]: Simplify 0 into 0 6.102 * [backup-simplify]: Simplify 0 into 0 6.103 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.103 * [backup-simplify]: Simplify 0 into 0 6.103 * [backup-simplify]: Simplify 0 into 0 6.103 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 6.103 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 6.103 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 6.103 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 6.103 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 6.103 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.103 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.103 * [taylor]: Taking taylor expansion of re in im 6.103 * [backup-simplify]: Simplify re into re 6.103 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.103 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.103 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.103 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.104 * [taylor]: Taking taylor expansion of im in im 6.104 * [backup-simplify]: Simplify 0 into 0 6.104 * [backup-simplify]: Simplify 1 into 1 6.104 * [backup-simplify]: Simplify (* 1 1) into 1 6.104 * [backup-simplify]: Simplify (/ 1 1) into 1 6.105 * [backup-simplify]: Simplify (+ 0 1) into 1 6.105 * [backup-simplify]: Simplify (sqrt 1) into 1 6.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.107 * [backup-simplify]: Simplify (+ 0 0) into 0 6.108 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.108 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.108 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.108 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.108 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.108 * [taylor]: Taking taylor expansion of re in re 6.108 * [backup-simplify]: Simplify 0 into 0 6.108 * [backup-simplify]: Simplify 1 into 1 6.108 * [backup-simplify]: Simplify (* 1 1) into 1 6.109 * [backup-simplify]: Simplify (/ 1 1) into 1 6.109 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.109 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.109 * [taylor]: Taking taylor expansion of im in re 6.109 * [backup-simplify]: Simplify im into im 6.109 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.109 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.109 * [backup-simplify]: Simplify (+ 1 0) into 1 6.110 * [backup-simplify]: Simplify (sqrt 1) into 1 6.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.112 * [backup-simplify]: Simplify (+ 0 0) into 0 6.112 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.112 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.112 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.112 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.112 * [taylor]: Taking taylor expansion of re in re 6.113 * [backup-simplify]: Simplify 0 into 0 6.113 * [backup-simplify]: Simplify 1 into 1 6.113 * [backup-simplify]: Simplify (* 1 1) into 1 6.113 * [backup-simplify]: Simplify (/ 1 1) into 1 6.113 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.113 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.113 * [taylor]: Taking taylor expansion of im in re 6.113 * [backup-simplify]: Simplify im into im 6.113 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.114 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.114 * [backup-simplify]: Simplify (+ 1 0) into 1 6.115 * [backup-simplify]: Simplify (sqrt 1) into 1 6.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.116 * [backup-simplify]: Simplify (+ 0 0) into 0 6.117 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.117 * [taylor]: Taking taylor expansion of 1 in im 6.117 * [backup-simplify]: Simplify 1 into 1 6.117 * [taylor]: Taking taylor expansion of 0 in im 6.117 * [backup-simplify]: Simplify 0 into 0 6.117 * [backup-simplify]: Simplify 1 into 1 6.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.119 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.121 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.121 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.121 * [taylor]: Taking taylor expansion of 1/2 in im 6.121 * [backup-simplify]: Simplify 1/2 into 1/2 6.121 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.121 * [taylor]: Taking taylor expansion of im in im 6.121 * [backup-simplify]: Simplify 0 into 0 6.121 * [backup-simplify]: Simplify 1 into 1 6.121 * [backup-simplify]: Simplify (* 1 1) into 1 6.122 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.123 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.123 * [backup-simplify]: Simplify 0 into 0 6.124 * [backup-simplify]: Simplify 0 into 0 6.124 * [backup-simplify]: Simplify 0 into 0 6.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.126 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.126 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.126 * [backup-simplify]: Simplify (+ 0 0) into 0 6.127 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.127 * [taylor]: Taking taylor expansion of 0 in im 6.127 * [backup-simplify]: Simplify 0 into 0 6.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.129 * [backup-simplify]: Simplify 0 into 0 6.129 * [backup-simplify]: Simplify 0 into 0 6.129 * [backup-simplify]: Simplify 0 into 0 6.129 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 6.130 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 6.130 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 6.130 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 6.130 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 6.130 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.130 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.130 * [taylor]: Taking taylor expansion of re in im 6.130 * [backup-simplify]: Simplify re into re 6.130 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.130 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.130 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.130 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.130 * [taylor]: Taking taylor expansion of im in im 6.130 * [backup-simplify]: Simplify 0 into 0 6.130 * [backup-simplify]: Simplify 1 into 1 6.131 * [backup-simplify]: Simplify (* 1 1) into 1 6.131 * [backup-simplify]: Simplify (/ 1 1) into 1 6.131 * [backup-simplify]: Simplify (+ 0 1) into 1 6.132 * [backup-simplify]: Simplify (sqrt 1) into 1 6.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.134 * [backup-simplify]: Simplify (+ 0 0) into 0 6.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.134 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.135 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.135 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.135 * [taylor]: Taking taylor expansion of re in re 6.135 * [backup-simplify]: Simplify 0 into 0 6.135 * [backup-simplify]: Simplify 1 into 1 6.135 * [backup-simplify]: Simplify (* 1 1) into 1 6.135 * [backup-simplify]: Simplify (/ 1 1) into 1 6.135 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.135 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.135 * [taylor]: Taking taylor expansion of im in re 6.136 * [backup-simplify]: Simplify im into im 6.136 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.136 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.136 * [backup-simplify]: Simplify (+ 1 0) into 1 6.137 * [backup-simplify]: Simplify (sqrt 1) into 1 6.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.138 * [backup-simplify]: Simplify (+ 0 0) into 0 6.139 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.139 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.139 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.139 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.139 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.139 * [taylor]: Taking taylor expansion of re in re 6.139 * [backup-simplify]: Simplify 0 into 0 6.139 * [backup-simplify]: Simplify 1 into 1 6.140 * [backup-simplify]: Simplify (* 1 1) into 1 6.140 * [backup-simplify]: Simplify (/ 1 1) into 1 6.140 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.140 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.140 * [taylor]: Taking taylor expansion of im in re 6.140 * [backup-simplify]: Simplify im into im 6.140 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.140 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.141 * [backup-simplify]: Simplify (+ 1 0) into 1 6.141 * [backup-simplify]: Simplify (sqrt 1) into 1 6.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.143 * [backup-simplify]: Simplify (+ 0 0) into 0 6.144 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.144 * [taylor]: Taking taylor expansion of 1 in im 6.144 * [backup-simplify]: Simplify 1 into 1 6.144 * [taylor]: Taking taylor expansion of 0 in im 6.144 * [backup-simplify]: Simplify 0 into 0 6.144 * [backup-simplify]: Simplify 1 into 1 6.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.146 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.147 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.147 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.147 * [taylor]: Taking taylor expansion of 1/2 in im 6.147 * [backup-simplify]: Simplify 1/2 into 1/2 6.147 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.148 * [taylor]: Taking taylor expansion of im in im 6.148 * [backup-simplify]: Simplify 0 into 0 6.148 * [backup-simplify]: Simplify 1 into 1 6.148 * [backup-simplify]: Simplify (* 1 1) into 1 6.148 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.150 * [backup-simplify]: Simplify 0 into 0 6.150 * [backup-simplify]: Simplify 0 into 0 6.150 * [backup-simplify]: Simplify 0 into 0 6.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.152 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.152 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.153 * [backup-simplify]: Simplify (+ 0 0) into 0 6.153 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.153 * [taylor]: Taking taylor expansion of 0 in im 6.154 * [backup-simplify]: Simplify 0 into 0 6.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.156 * [backup-simplify]: Simplify 0 into 0 6.156 * [backup-simplify]: Simplify 0 into 0 6.156 * [backup-simplify]: Simplify 0 into 0 6.156 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 6.156 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2 1 1 1 1) 6.156 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 6.156 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 6.156 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 6.156 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 6.156 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.156 * [taylor]: Taking taylor expansion of im in im 6.156 * [backup-simplify]: Simplify 0 into 0 6.156 * [backup-simplify]: Simplify 1 into 1 6.156 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.156 * [taylor]: Taking taylor expansion of re in im 6.156 * [backup-simplify]: Simplify re into re 6.156 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.157 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 6.157 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 6.157 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.157 * [backup-simplify]: Simplify (+ 0 0) into 0 6.157 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 6.157 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 6.157 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 6.157 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.157 * [taylor]: Taking taylor expansion of im in re 6.157 * [backup-simplify]: Simplify im into im 6.157 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.157 * [taylor]: Taking taylor expansion of re in re 6.157 * [backup-simplify]: Simplify 0 into 0 6.157 * [backup-simplify]: Simplify 1 into 1 6.158 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.158 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 6.158 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.158 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.158 * [backup-simplify]: Simplify (+ 0 0) into 0 6.158 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.158 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 6.158 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 6.158 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.158 * [taylor]: Taking taylor expansion of im in re 6.158 * [backup-simplify]: Simplify im into im 6.158 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.158 * [taylor]: Taking taylor expansion of re in re 6.159 * [backup-simplify]: Simplify 0 into 0 6.159 * [backup-simplify]: Simplify 1 into 1 6.159 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.159 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 6.159 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.159 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.159 * [backup-simplify]: Simplify (+ 0 0) into 0 6.159 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.159 * [taylor]: Taking taylor expansion of im in im 6.159 * [backup-simplify]: Simplify 0 into 0 6.160 * [backup-simplify]: Simplify 1 into 1 6.160 * [backup-simplify]: Simplify 0 into 0 6.160 * [taylor]: Taking taylor expansion of 0 in im 6.160 * [backup-simplify]: Simplify 0 into 0 6.160 * [backup-simplify]: Simplify 0 into 0 6.160 * [backup-simplify]: Simplify 1 into 1 6.160 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.161 * [backup-simplify]: Simplify (* 1 1) into 1 6.161 * [backup-simplify]: Simplify (+ 0 1) into 1 6.162 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 6.162 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 6.162 * [taylor]: Taking taylor expansion of 1/2 in im 6.162 * [backup-simplify]: Simplify 1/2 into 1/2 6.162 * [taylor]: Taking taylor expansion of im in im 6.162 * [backup-simplify]: Simplify 0 into 0 6.162 * [backup-simplify]: Simplify 1 into 1 6.162 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.163 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.163 * [backup-simplify]: Simplify 0 into 0 6.163 * [backup-simplify]: Simplify 0 into 0 6.163 * [backup-simplify]: Simplify 0 into 0 6.164 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 6.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.165 * [backup-simplify]: Simplify (+ 0 0) into 0 6.166 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 6.166 * [taylor]: Taking taylor expansion of 0 in im 6.166 * [backup-simplify]: Simplify 0 into 0 6.166 * [backup-simplify]: Simplify 0 into 0 6.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.167 * [backup-simplify]: Simplify 0 into 0 6.167 * [backup-simplify]: Simplify 0 into 0 6.167 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 6.167 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 6.167 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 6.167 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 6.168 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 6.168 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.168 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.168 * [taylor]: Taking taylor expansion of re in im 6.168 * [backup-simplify]: Simplify re into re 6.168 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.168 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.168 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.168 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.168 * [taylor]: Taking taylor expansion of im in im 6.168 * [backup-simplify]: Simplify 0 into 0 6.168 * [backup-simplify]: Simplify 1 into 1 6.168 * [backup-simplify]: Simplify (* 1 1) into 1 6.169 * [backup-simplify]: Simplify (/ 1 1) into 1 6.169 * [backup-simplify]: Simplify (+ 0 1) into 1 6.170 * [backup-simplify]: Simplify (sqrt 1) into 1 6.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.171 * [backup-simplify]: Simplify (+ 0 0) into 0 6.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.172 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.172 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.172 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.172 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.172 * [taylor]: Taking taylor expansion of re in re 6.172 * [backup-simplify]: Simplify 0 into 0 6.172 * [backup-simplify]: Simplify 1 into 1 6.173 * [backup-simplify]: Simplify (* 1 1) into 1 6.173 * [backup-simplify]: Simplify (/ 1 1) into 1 6.173 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.173 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.173 * [taylor]: Taking taylor expansion of im in re 6.173 * [backup-simplify]: Simplify im into im 6.173 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.173 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.174 * [backup-simplify]: Simplify (+ 1 0) into 1 6.174 * [backup-simplify]: Simplify (sqrt 1) into 1 6.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.176 * [backup-simplify]: Simplify (+ 0 0) into 0 6.177 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.177 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.177 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.177 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.177 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.177 * [taylor]: Taking taylor expansion of re in re 6.177 * [backup-simplify]: Simplify 0 into 0 6.177 * [backup-simplify]: Simplify 1 into 1 6.177 * [backup-simplify]: Simplify (* 1 1) into 1 6.181 * [backup-simplify]: Simplify (/ 1 1) into 1 6.181 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.181 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.181 * [taylor]: Taking taylor expansion of im in re 6.181 * [backup-simplify]: Simplify im into im 6.181 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.181 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.182 * [backup-simplify]: Simplify (+ 1 0) into 1 6.182 * [backup-simplify]: Simplify (sqrt 1) into 1 6.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.184 * [backup-simplify]: Simplify (+ 0 0) into 0 6.185 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.185 * [taylor]: Taking taylor expansion of 1 in im 6.185 * [backup-simplify]: Simplify 1 into 1 6.185 * [taylor]: Taking taylor expansion of 0 in im 6.185 * [backup-simplify]: Simplify 0 into 0 6.185 * [backup-simplify]: Simplify 1 into 1 6.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.187 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.188 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.188 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.188 * [taylor]: Taking taylor expansion of 1/2 in im 6.188 * [backup-simplify]: Simplify 1/2 into 1/2 6.188 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.188 * [taylor]: Taking taylor expansion of im in im 6.188 * [backup-simplify]: Simplify 0 into 0 6.188 * [backup-simplify]: Simplify 1 into 1 6.189 * [backup-simplify]: Simplify (* 1 1) into 1 6.189 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.191 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.191 * [backup-simplify]: Simplify 0 into 0 6.191 * [backup-simplify]: Simplify 0 into 0 6.191 * [backup-simplify]: Simplify 0 into 0 6.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.193 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.193 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.193 * [backup-simplify]: Simplify (+ 0 0) into 0 6.194 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.194 * [taylor]: Taking taylor expansion of 0 in im 6.194 * [backup-simplify]: Simplify 0 into 0 6.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.196 * [backup-simplify]: Simplify 0 into 0 6.196 * [backup-simplify]: Simplify 0 into 0 6.196 * [backup-simplify]: Simplify 0 into 0 6.196 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 6.196 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 6.197 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 6.197 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 6.197 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 6.197 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.197 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.197 * [taylor]: Taking taylor expansion of re in im 6.197 * [backup-simplify]: Simplify re into re 6.197 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.197 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.197 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.197 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.197 * [taylor]: Taking taylor expansion of im in im 6.197 * [backup-simplify]: Simplify 0 into 0 6.197 * [backup-simplify]: Simplify 1 into 1 6.197 * [backup-simplify]: Simplify (* 1 1) into 1 6.198 * [backup-simplify]: Simplify (/ 1 1) into 1 6.198 * [backup-simplify]: Simplify (+ 0 1) into 1 6.199 * [backup-simplify]: Simplify (sqrt 1) into 1 6.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.200 * [backup-simplify]: Simplify (+ 0 0) into 0 6.201 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.201 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.201 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.201 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.201 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.201 * [taylor]: Taking taylor expansion of re in re 6.201 * [backup-simplify]: Simplify 0 into 0 6.201 * [backup-simplify]: Simplify 1 into 1 6.202 * [backup-simplify]: Simplify (* 1 1) into 1 6.202 * [backup-simplify]: Simplify (/ 1 1) into 1 6.202 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.202 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.202 * [taylor]: Taking taylor expansion of im in re 6.202 * [backup-simplify]: Simplify im into im 6.202 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.202 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.203 * [backup-simplify]: Simplify (+ 1 0) into 1 6.203 * [backup-simplify]: Simplify (sqrt 1) into 1 6.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.205 * [backup-simplify]: Simplify (+ 0 0) into 0 6.206 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.206 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.206 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.206 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.206 * [taylor]: Taking taylor expansion of re in re 6.206 * [backup-simplify]: Simplify 0 into 0 6.206 * [backup-simplify]: Simplify 1 into 1 6.206 * [backup-simplify]: Simplify (* 1 1) into 1 6.206 * [backup-simplify]: Simplify (/ 1 1) into 1 6.207 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.207 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.207 * [taylor]: Taking taylor expansion of im in re 6.207 * [backup-simplify]: Simplify im into im 6.207 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.207 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.207 * [backup-simplify]: Simplify (+ 1 0) into 1 6.208 * [backup-simplify]: Simplify (sqrt 1) into 1 6.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.209 * [backup-simplify]: Simplify (+ 0 0) into 0 6.210 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.210 * [taylor]: Taking taylor expansion of 1 in im 6.210 * [backup-simplify]: Simplify 1 into 1 6.210 * [taylor]: Taking taylor expansion of 0 in im 6.210 * [backup-simplify]: Simplify 0 into 0 6.210 * [backup-simplify]: Simplify 1 into 1 6.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.212 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.214 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.214 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.214 * [taylor]: Taking taylor expansion of 1/2 in im 6.214 * [backup-simplify]: Simplify 1/2 into 1/2 6.214 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.214 * [taylor]: Taking taylor expansion of im in im 6.214 * [backup-simplify]: Simplify 0 into 0 6.214 * [backup-simplify]: Simplify 1 into 1 6.214 * [backup-simplify]: Simplify (* 1 1) into 1 6.215 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.216 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.216 * [backup-simplify]: Simplify 0 into 0 6.216 * [backup-simplify]: Simplify 0 into 0 6.216 * [backup-simplify]: Simplify 0 into 0 6.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.219 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.219 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.219 * [backup-simplify]: Simplify (+ 0 0) into 0 6.220 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.220 * [taylor]: Taking taylor expansion of 0 in im 6.220 * [backup-simplify]: Simplify 0 into 0 6.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.222 * [backup-simplify]: Simplify 0 into 0 6.222 * [backup-simplify]: Simplify 0 into 0 6.222 * [backup-simplify]: Simplify 0 into 0 6.223 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 6.223 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 2 1 1 2 1) 6.223 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 6.223 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 6.223 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 6.223 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 6.223 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.223 * [taylor]: Taking taylor expansion of im in im 6.223 * [backup-simplify]: Simplify 0 into 0 6.223 * [backup-simplify]: Simplify 1 into 1 6.223 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.223 * [taylor]: Taking taylor expansion of re in im 6.223 * [backup-simplify]: Simplify re into re 6.223 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.224 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 6.224 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 6.224 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.224 * [backup-simplify]: Simplify (+ 0 0) into 0 6.225 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 6.225 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 6.225 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 6.225 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.225 * [taylor]: Taking taylor expansion of im in re 6.225 * [backup-simplify]: Simplify im into im 6.225 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.225 * [taylor]: Taking taylor expansion of re in re 6.225 * [backup-simplify]: Simplify 0 into 0 6.225 * [backup-simplify]: Simplify 1 into 1 6.225 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.225 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 6.225 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.225 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.226 * [backup-simplify]: Simplify (+ 0 0) into 0 6.226 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.226 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 6.226 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 6.226 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.226 * [taylor]: Taking taylor expansion of im in re 6.226 * [backup-simplify]: Simplify im into im 6.226 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.226 * [taylor]: Taking taylor expansion of re in re 6.226 * [backup-simplify]: Simplify 0 into 0 6.226 * [backup-simplify]: Simplify 1 into 1 6.226 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.226 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 6.226 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.227 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.227 * [backup-simplify]: Simplify (+ 0 0) into 0 6.227 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.227 * [taylor]: Taking taylor expansion of im in im 6.227 * [backup-simplify]: Simplify 0 into 0 6.227 * [backup-simplify]: Simplify 1 into 1 6.227 * [backup-simplify]: Simplify 0 into 0 6.227 * [taylor]: Taking taylor expansion of 0 in im 6.227 * [backup-simplify]: Simplify 0 into 0 6.227 * [backup-simplify]: Simplify 0 into 0 6.227 * [backup-simplify]: Simplify 1 into 1 6.228 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.228 * [backup-simplify]: Simplify (* 1 1) into 1 6.229 * [backup-simplify]: Simplify (+ 0 1) into 1 6.230 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 6.230 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 6.230 * [taylor]: Taking taylor expansion of 1/2 in im 6.230 * [backup-simplify]: Simplify 1/2 into 1/2 6.230 * [taylor]: Taking taylor expansion of im in im 6.230 * [backup-simplify]: Simplify 0 into 0 6.230 * [backup-simplify]: Simplify 1 into 1 6.230 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.231 * [backup-simplify]: Simplify 0 into 0 6.232 * [backup-simplify]: Simplify 0 into 0 6.232 * [backup-simplify]: Simplify 0 into 0 6.232 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 6.233 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.234 * [backup-simplify]: Simplify (+ 0 0) into 0 6.234 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 6.234 * [taylor]: Taking taylor expansion of 0 in im 6.234 * [backup-simplify]: Simplify 0 into 0 6.234 * [backup-simplify]: Simplify 0 into 0 6.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.235 * [backup-simplify]: Simplify 0 into 0 6.235 * [backup-simplify]: Simplify 0 into 0 6.235 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 6.236 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 6.236 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 6.236 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 6.236 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 6.236 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.236 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.236 * [taylor]: Taking taylor expansion of re in im 6.236 * [backup-simplify]: Simplify re into re 6.236 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.236 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.236 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.236 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.236 * [taylor]: Taking taylor expansion of im in im 6.236 * [backup-simplify]: Simplify 0 into 0 6.236 * [backup-simplify]: Simplify 1 into 1 6.237 * [backup-simplify]: Simplify (* 1 1) into 1 6.237 * [backup-simplify]: Simplify (/ 1 1) into 1 6.237 * [backup-simplify]: Simplify (+ 0 1) into 1 6.238 * [backup-simplify]: Simplify (sqrt 1) into 1 6.238 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.240 * [backup-simplify]: Simplify (+ 0 0) into 0 6.240 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.240 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.240 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.241 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.241 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.241 * [taylor]: Taking taylor expansion of re in re 6.241 * [backup-simplify]: Simplify 0 into 0 6.241 * [backup-simplify]: Simplify 1 into 1 6.241 * [backup-simplify]: Simplify (* 1 1) into 1 6.241 * [backup-simplify]: Simplify (/ 1 1) into 1 6.241 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.241 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.242 * [taylor]: Taking taylor expansion of im in re 6.242 * [backup-simplify]: Simplify im into im 6.242 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.242 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.242 * [backup-simplify]: Simplify (+ 1 0) into 1 6.243 * [backup-simplify]: Simplify (sqrt 1) into 1 6.243 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.244 * [backup-simplify]: Simplify (+ 0 0) into 0 6.245 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.245 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.245 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.245 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.245 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.245 * [taylor]: Taking taylor expansion of re in re 6.245 * [backup-simplify]: Simplify 0 into 0 6.245 * [backup-simplify]: Simplify 1 into 1 6.246 * [backup-simplify]: Simplify (* 1 1) into 1 6.246 * [backup-simplify]: Simplify (/ 1 1) into 1 6.246 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.246 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.246 * [taylor]: Taking taylor expansion of im in re 6.246 * [backup-simplify]: Simplify im into im 6.246 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.246 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.246 * [backup-simplify]: Simplify (+ 1 0) into 1 6.246 * [backup-simplify]: Simplify (sqrt 1) into 1 6.247 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.247 * [backup-simplify]: Simplify (+ 0 0) into 0 6.248 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.248 * [taylor]: Taking taylor expansion of 1 in im 6.248 * [backup-simplify]: Simplify 1 into 1 6.248 * [taylor]: Taking taylor expansion of 0 in im 6.248 * [backup-simplify]: Simplify 0 into 0 6.248 * [backup-simplify]: Simplify 1 into 1 6.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.249 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.250 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.250 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.250 * [taylor]: Taking taylor expansion of 1/2 in im 6.250 * [backup-simplify]: Simplify 1/2 into 1/2 6.250 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.250 * [taylor]: Taking taylor expansion of im in im 6.250 * [backup-simplify]: Simplify 0 into 0 6.250 * [backup-simplify]: Simplify 1 into 1 6.250 * [backup-simplify]: Simplify (* 1 1) into 1 6.251 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.252 * [backup-simplify]: Simplify 0 into 0 6.252 * [backup-simplify]: Simplify 0 into 0 6.252 * [backup-simplify]: Simplify 0 into 0 6.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.253 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.253 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.253 * [backup-simplify]: Simplify (+ 0 0) into 0 6.254 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.254 * [taylor]: Taking taylor expansion of 0 in im 6.254 * [backup-simplify]: Simplify 0 into 0 6.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.255 * [backup-simplify]: Simplify 0 into 0 6.255 * [backup-simplify]: Simplify 0 into 0 6.255 * [backup-simplify]: Simplify 0 into 0 6.255 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 6.255 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 6.255 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 6.255 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 6.255 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 6.255 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.255 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.255 * [taylor]: Taking taylor expansion of re in im 6.255 * [backup-simplify]: Simplify re into re 6.255 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.255 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.255 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.255 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.255 * [taylor]: Taking taylor expansion of im in im 6.255 * [backup-simplify]: Simplify 0 into 0 6.255 * [backup-simplify]: Simplify 1 into 1 6.256 * [backup-simplify]: Simplify (* 1 1) into 1 6.256 * [backup-simplify]: Simplify (/ 1 1) into 1 6.256 * [backup-simplify]: Simplify (+ 0 1) into 1 6.256 * [backup-simplify]: Simplify (sqrt 1) into 1 6.257 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.258 * [backup-simplify]: Simplify (+ 0 0) into 0 6.258 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.258 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.258 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.258 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.258 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.258 * [taylor]: Taking taylor expansion of re in re 6.258 * [backup-simplify]: Simplify 0 into 0 6.258 * [backup-simplify]: Simplify 1 into 1 6.258 * [backup-simplify]: Simplify (* 1 1) into 1 6.259 * [backup-simplify]: Simplify (/ 1 1) into 1 6.259 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.259 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.259 * [taylor]: Taking taylor expansion of im in re 6.259 * [backup-simplify]: Simplify im into im 6.259 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.259 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.259 * [backup-simplify]: Simplify (+ 1 0) into 1 6.259 * [backup-simplify]: Simplify (sqrt 1) into 1 6.260 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.260 * [backup-simplify]: Simplify (+ 0 0) into 0 6.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.261 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.261 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.261 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.261 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.261 * [taylor]: Taking taylor expansion of re in re 6.261 * [backup-simplify]: Simplify 0 into 0 6.261 * [backup-simplify]: Simplify 1 into 1 6.261 * [backup-simplify]: Simplify (* 1 1) into 1 6.261 * [backup-simplify]: Simplify (/ 1 1) into 1 6.261 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.261 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.261 * [taylor]: Taking taylor expansion of im in re 6.261 * [backup-simplify]: Simplify im into im 6.262 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.262 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.262 * [backup-simplify]: Simplify (+ 1 0) into 1 6.262 * [backup-simplify]: Simplify (sqrt 1) into 1 6.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.263 * [backup-simplify]: Simplify (+ 0 0) into 0 6.264 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.264 * [taylor]: Taking taylor expansion of 1 in im 6.264 * [backup-simplify]: Simplify 1 into 1 6.264 * [taylor]: Taking taylor expansion of 0 in im 6.264 * [backup-simplify]: Simplify 0 into 0 6.264 * [backup-simplify]: Simplify 1 into 1 6.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.265 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.266 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.266 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.266 * [taylor]: Taking taylor expansion of 1/2 in im 6.266 * [backup-simplify]: Simplify 1/2 into 1/2 6.266 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.266 * [taylor]: Taking taylor expansion of im in im 6.266 * [backup-simplify]: Simplify 0 into 0 6.266 * [backup-simplify]: Simplify 1 into 1 6.266 * [backup-simplify]: Simplify (* 1 1) into 1 6.266 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.267 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.267 * [backup-simplify]: Simplify 0 into 0 6.267 * [backup-simplify]: Simplify 0 into 0 6.267 * [backup-simplify]: Simplify 0 into 0 6.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.269 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.269 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.269 * [backup-simplify]: Simplify (+ 0 0) into 0 6.269 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.269 * [taylor]: Taking taylor expansion of 0 in im 6.269 * [backup-simplify]: Simplify 0 into 0 6.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.270 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.270 * [backup-simplify]: Simplify 0 into 0 6.270 * [backup-simplify]: Simplify 0 into 0 6.271 * [backup-simplify]: Simplify 0 into 0 6.271 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 6.271 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 2 1 1 1 1) 6.271 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 6.271 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 6.271 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 6.271 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 6.271 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.271 * [taylor]: Taking taylor expansion of im in im 6.271 * [backup-simplify]: Simplify 0 into 0 6.271 * [backup-simplify]: Simplify 1 into 1 6.271 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.271 * [taylor]: Taking taylor expansion of re in im 6.271 * [backup-simplify]: Simplify re into re 6.271 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.271 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 6.271 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 6.271 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.271 * [backup-simplify]: Simplify (+ 0 0) into 0 6.271 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 6.271 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 6.271 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 6.271 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.271 * [taylor]: Taking taylor expansion of im in re 6.272 * [backup-simplify]: Simplify im into im 6.272 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.272 * [taylor]: Taking taylor expansion of re in re 6.272 * [backup-simplify]: Simplify 0 into 0 6.272 * [backup-simplify]: Simplify 1 into 1 6.272 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.272 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 6.272 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.272 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.272 * [backup-simplify]: Simplify (+ 0 0) into 0 6.272 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.272 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 6.272 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 6.272 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.272 * [taylor]: Taking taylor expansion of im in re 6.272 * [backup-simplify]: Simplify im into im 6.272 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.272 * [taylor]: Taking taylor expansion of re in re 6.272 * [backup-simplify]: Simplify 0 into 0 6.272 * [backup-simplify]: Simplify 1 into 1 6.272 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.272 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 6.272 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.272 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.273 * [backup-simplify]: Simplify (+ 0 0) into 0 6.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.273 * [taylor]: Taking taylor expansion of im in im 6.273 * [backup-simplify]: Simplify 0 into 0 6.273 * [backup-simplify]: Simplify 1 into 1 6.273 * [backup-simplify]: Simplify 0 into 0 6.273 * [taylor]: Taking taylor expansion of 0 in im 6.273 * [backup-simplify]: Simplify 0 into 0 6.273 * [backup-simplify]: Simplify 0 into 0 6.273 * [backup-simplify]: Simplify 1 into 1 6.273 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.273 * [backup-simplify]: Simplify (* 1 1) into 1 6.274 * [backup-simplify]: Simplify (+ 0 1) into 1 6.274 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 6.274 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 6.274 * [taylor]: Taking taylor expansion of 1/2 in im 6.274 * [backup-simplify]: Simplify 1/2 into 1/2 6.274 * [taylor]: Taking taylor expansion of im in im 6.274 * [backup-simplify]: Simplify 0 into 0 6.274 * [backup-simplify]: Simplify 1 into 1 6.275 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.275 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.275 * [backup-simplify]: Simplify 0 into 0 6.275 * [backup-simplify]: Simplify 0 into 0 6.275 * [backup-simplify]: Simplify 0 into 0 6.276 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 6.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.276 * [backup-simplify]: Simplify (+ 0 0) into 0 6.276 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 6.276 * [taylor]: Taking taylor expansion of 0 in im 6.276 * [backup-simplify]: Simplify 0 into 0 6.277 * [backup-simplify]: Simplify 0 into 0 6.277 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.277 * [backup-simplify]: Simplify 0 into 0 6.277 * [backup-simplify]: Simplify 0 into 0 6.277 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 6.278 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 6.278 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 6.278 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 6.278 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 6.278 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.278 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.278 * [taylor]: Taking taylor expansion of re in im 6.278 * [backup-simplify]: Simplify re into re 6.278 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.278 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.278 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.278 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.278 * [taylor]: Taking taylor expansion of im in im 6.278 * [backup-simplify]: Simplify 0 into 0 6.278 * [backup-simplify]: Simplify 1 into 1 6.278 * [backup-simplify]: Simplify (* 1 1) into 1 6.279 * [backup-simplify]: Simplify (/ 1 1) into 1 6.279 * [backup-simplify]: Simplify (+ 0 1) into 1 6.279 * [backup-simplify]: Simplify (sqrt 1) into 1 6.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.281 * [backup-simplify]: Simplify (+ 0 0) into 0 6.282 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.282 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.282 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.282 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.282 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.282 * [taylor]: Taking taylor expansion of re in re 6.282 * [backup-simplify]: Simplify 0 into 0 6.282 * [backup-simplify]: Simplify 1 into 1 6.282 * [backup-simplify]: Simplify (* 1 1) into 1 6.283 * [backup-simplify]: Simplify (/ 1 1) into 1 6.283 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.283 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.283 * [taylor]: Taking taylor expansion of im in re 6.283 * [backup-simplify]: Simplify im into im 6.283 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.283 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.284 * [backup-simplify]: Simplify (+ 1 0) into 1 6.284 * [backup-simplify]: Simplify (sqrt 1) into 1 6.285 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.286 * [backup-simplify]: Simplify (+ 0 0) into 0 6.286 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.286 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.286 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.286 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.286 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.286 * [taylor]: Taking taylor expansion of re in re 6.286 * [backup-simplify]: Simplify 0 into 0 6.286 * [backup-simplify]: Simplify 1 into 1 6.287 * [backup-simplify]: Simplify (* 1 1) into 1 6.287 * [backup-simplify]: Simplify (/ 1 1) into 1 6.287 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.287 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.287 * [taylor]: Taking taylor expansion of im in re 6.287 * [backup-simplify]: Simplify im into im 6.287 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.287 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.288 * [backup-simplify]: Simplify (+ 1 0) into 1 6.288 * [backup-simplify]: Simplify (sqrt 1) into 1 6.289 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.290 * [backup-simplify]: Simplify (+ 0 0) into 0 6.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.291 * [taylor]: Taking taylor expansion of 1 in im 6.291 * [backup-simplify]: Simplify 1 into 1 6.291 * [taylor]: Taking taylor expansion of 0 in im 6.291 * [backup-simplify]: Simplify 0 into 0 6.291 * [backup-simplify]: Simplify 1 into 1 6.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.293 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.294 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.294 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.294 * [taylor]: Taking taylor expansion of 1/2 in im 6.294 * [backup-simplify]: Simplify 1/2 into 1/2 6.294 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.294 * [taylor]: Taking taylor expansion of im in im 6.294 * [backup-simplify]: Simplify 0 into 0 6.294 * [backup-simplify]: Simplify 1 into 1 6.294 * [backup-simplify]: Simplify (* 1 1) into 1 6.295 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.296 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.297 * [backup-simplify]: Simplify 0 into 0 6.297 * [backup-simplify]: Simplify 0 into 0 6.297 * [backup-simplify]: Simplify 0 into 0 6.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.300 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.300 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.300 * [backup-simplify]: Simplify (+ 0 0) into 0 6.301 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.301 * [taylor]: Taking taylor expansion of 0 in im 6.301 * [backup-simplify]: Simplify 0 into 0 6.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.303 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.303 * [backup-simplify]: Simplify 0 into 0 6.303 * [backup-simplify]: Simplify 0 into 0 6.303 * [backup-simplify]: Simplify 0 into 0 6.303 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 6.303 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 6.304 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 6.304 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 6.304 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 6.304 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.304 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.304 * [taylor]: Taking taylor expansion of re in im 6.304 * [backup-simplify]: Simplify re into re 6.304 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.304 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.304 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.304 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.304 * [taylor]: Taking taylor expansion of im in im 6.304 * [backup-simplify]: Simplify 0 into 0 6.304 * [backup-simplify]: Simplify 1 into 1 6.305 * [backup-simplify]: Simplify (* 1 1) into 1 6.305 * [backup-simplify]: Simplify (/ 1 1) into 1 6.305 * [backup-simplify]: Simplify (+ 0 1) into 1 6.306 * [backup-simplify]: Simplify (sqrt 1) into 1 6.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.310 * [backup-simplify]: Simplify (+ 0 0) into 0 6.310 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.311 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.311 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.311 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.311 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.311 * [taylor]: Taking taylor expansion of re in re 6.311 * [backup-simplify]: Simplify 0 into 0 6.311 * [backup-simplify]: Simplify 1 into 1 6.311 * [backup-simplify]: Simplify (* 1 1) into 1 6.311 * [backup-simplify]: Simplify (/ 1 1) into 1 6.312 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.312 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.312 * [taylor]: Taking taylor expansion of im in re 6.312 * [backup-simplify]: Simplify im into im 6.312 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.312 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.312 * [backup-simplify]: Simplify (+ 1 0) into 1 6.313 * [backup-simplify]: Simplify (sqrt 1) into 1 6.313 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.314 * [backup-simplify]: Simplify (+ 0 0) into 0 6.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.315 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.315 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.315 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.315 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.315 * [taylor]: Taking taylor expansion of re in re 6.315 * [backup-simplify]: Simplify 0 into 0 6.315 * [backup-simplify]: Simplify 1 into 1 6.316 * [backup-simplify]: Simplify (* 1 1) into 1 6.316 * [backup-simplify]: Simplify (/ 1 1) into 1 6.316 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.316 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.316 * [taylor]: Taking taylor expansion of im in re 6.316 * [backup-simplify]: Simplify im into im 6.316 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.316 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.317 * [backup-simplify]: Simplify (+ 1 0) into 1 6.317 * [backup-simplify]: Simplify (sqrt 1) into 1 6.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.319 * [backup-simplify]: Simplify (+ 0 0) into 0 6.320 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.320 * [taylor]: Taking taylor expansion of 1 in im 6.320 * [backup-simplify]: Simplify 1 into 1 6.320 * [taylor]: Taking taylor expansion of 0 in im 6.320 * [backup-simplify]: Simplify 0 into 0 6.320 * [backup-simplify]: Simplify 1 into 1 6.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.322 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.323 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.323 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.323 * [taylor]: Taking taylor expansion of 1/2 in im 6.323 * [backup-simplify]: Simplify 1/2 into 1/2 6.323 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.324 * [taylor]: Taking taylor expansion of im in im 6.324 * [backup-simplify]: Simplify 0 into 0 6.324 * [backup-simplify]: Simplify 1 into 1 6.324 * [backup-simplify]: Simplify (* 1 1) into 1 6.324 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.326 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.326 * [backup-simplify]: Simplify 0 into 0 6.326 * [backup-simplify]: Simplify 0 into 0 6.326 * [backup-simplify]: Simplify 0 into 0 6.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.328 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.328 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.329 * [backup-simplify]: Simplify (+ 0 0) into 0 6.329 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.329 * [taylor]: Taking taylor expansion of 0 in im 6.329 * [backup-simplify]: Simplify 0 into 0 6.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.331 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.331 * [backup-simplify]: Simplify 0 into 0 6.331 * [backup-simplify]: Simplify 0 into 0 6.332 * [backup-simplify]: Simplify 0 into 0 6.332 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 6.332 * * * [progress]: simplifying candidates 6.332 * * * * [progress]: [ 1 / 76 ] simplifiying candidate # 6.332 * * * * [progress]: [ 2 / 76 ] simplifiying candidate # 6.332 * * * * [progress]: [ 3 / 76 ] simplifiying candidate # 6.332 * * * * [progress]: [ 4 / 76 ] simplifiying candidate # 6.332 * * * * [progress]: [ 5 / 76 ] simplifiying candidate # 6.332 * * * * [progress]: [ 6 / 76 ] simplifiying candidate # 6.332 * * * * [progress]: [ 7 / 76 ] simplifiying candidate # 6.332 * * * * [progress]: [ 8 / 76 ] simplifiying candidate # 6.333 * * * * [progress]: [ 9 / 76 ] simplifiying candidate # 6.333 * * * * [progress]: [ 10 / 76 ] simplifiying candidate # 6.333 * * * * [progress]: [ 11 / 76 ] simplifiying candidate # 6.333 * * * * [progress]: [ 12 / 76 ] simplifiying candidate # 6.333 * * * * [progress]: [ 13 / 76 ] simplifiying candidate # 6.333 * * * * [progress]: [ 14 / 76 ] simplifiying candidate # 6.333 * * * * [progress]: [ 15 / 76 ] simplifiying candidate # 6.333 * * * * [progress]: [ 16 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))) re)))))))> 6.333 * * * * [progress]: [ 17 / 76 ] simplifiying candidate # 6.333 * * * * [progress]: [ 18 / 76 ] simplifiying candidate # 6.333 * * * * [progress]: [ 19 / 76 ] simplifiying candidate # 6.334 * * * * [progress]: [ 20 / 76 ] simplifiying candidate # 6.334 * * * * [progress]: [ 21 / 76 ] simplifiying candidate # 6.334 * * * * [progress]: [ 22 / 76 ] simplifiying candidate # 6.334 * * * * [progress]: [ 23 / 76 ] simplifiying candidate # 6.334 * * * * [progress]: [ 24 / 76 ] simplifiying candidate # 6.334 * * * * [progress]: [ 25 / 76 ] simplifiying candidate # 6.334 * * * * [progress]: [ 26 / 76 ] simplifiying candidate # 6.334 * * * * [progress]: [ 27 / 76 ] simplifiying candidate # 6.334 * * * * [progress]: [ 28 / 76 ] simplifiying candidate # 6.334 * * * * [progress]: [ 29 / 76 ] simplifiying candidate # 6.334 * * * * [progress]: [ 30 / 76 ] simplifiying candidate # 6.335 * * * * [progress]: [ 31 / 76 ] simplifiying candidate # 6.335 * * * * [progress]: [ 32 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> 6.335 * * * * [progress]: [ 33 / 76 ] simplifiying candidate # 6.335 * * * * [progress]: [ 34 / 76 ] simplifiying candidate # 6.335 * * * * [progress]: [ 35 / 76 ] simplifiying candidate # 6.335 * * * * [progress]: [ 36 / 76 ] simplifiying candidate # 6.335 * * * * [progress]: [ 37 / 76 ] simplifiying candidate # 6.335 * * * * [progress]: [ 38 / 76 ] simplifiying candidate # 6.335 * * * * [progress]: [ 39 / 76 ] simplifiying candidate # 6.335 * * * * [progress]: [ 40 / 76 ] simplifiying candidate # 6.335 * * * * [progress]: [ 41 / 76 ] simplifiying candidate # 6.336 * * * * [progress]: [ 42 / 76 ] simplifiying candidate # 6.336 * * * * [progress]: [ 43 / 76 ] simplifiying candidate # 6.336 * * * * [progress]: [ 44 / 76 ] simplifiying candidate # 6.336 * * * * [progress]: [ 45 / 76 ] simplifiying candidate # 6.336 * * * * [progress]: [ 46 / 76 ] simplifiying candidate # 6.336 * * * * [progress]: [ 47 / 76 ] simplifiying candidate # 6.336 * * * * [progress]: [ 48 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))) re))) (cbrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> 6.336 * * * * [progress]: [ 49 / 76 ] simplifiying candidate # 6.336 * * * * [progress]: [ 50 / 76 ] simplifiying candidate # 6.336 * * * * [progress]: [ 51 / 76 ] simplifiying candidate # 6.336 * * * * [progress]: [ 52 / 76 ] simplifiying candidate # 6.337 * * * * [progress]: [ 53 / 76 ] simplifiying candidate # 6.337 * * * * [progress]: [ 54 / 76 ] simplifiying candidate # 6.337 * * * * [progress]: [ 55 / 76 ] simplifiying candidate # 6.337 * * * * [progress]: [ 56 / 76 ] simplifiying candidate # 6.337 * * * * [progress]: [ 57 / 76 ] simplifiying candidate # 6.337 * * * * [progress]: [ 58 / 76 ] simplifiying candidate # 6.337 * * * * [progress]: [ 59 / 76 ] simplifiying candidate # 6.337 * * * * [progress]: [ 60 / 76 ] simplifiying candidate # 6.337 * * * * [progress]: [ 61 / 76 ] simplifiying candidate # 6.337 * * * * [progress]: [ 62 / 76 ] simplifiying candidate # 6.337 * * * * [progress]: [ 63 / 76 ] simplifiying candidate # 6.338 * * * * [progress]: [ 64 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))> 6.338 * * * * [progress]: [ 65 / 76 ] simplifiying candidate # 6.338 * * * * [progress]: [ 66 / 76 ] simplifiying candidate # 6.338 * * * * [progress]: [ 67 / 76 ] simplifiying candidate # 6.338 * * * * [progress]: [ 68 / 76 ] simplifiying candidate # 6.338 * * * * [progress]: [ 69 / 76 ] simplifiying candidate # 6.338 * * * * [progress]: [ 70 / 76 ] simplifiying candidate # 6.338 * * * * [progress]: [ 71 / 76 ] simplifiying candidate # 6.338 * * * * [progress]: [ 72 / 76 ] simplifiying candidate # 6.338 * * * * [progress]: [ 73 / 76 ] simplifiying candidate # 6.338 * * * * [progress]: [ 74 / 76 ] simplifiying candidate # 6.338 * * * * [progress]: [ 75 / 76 ] simplifiying candidate # 6.338 * * * * [progress]: [ 76 / 76 ] simplifiying candidate # 6.340 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) im re (* -1 re) im re (* -1 re) im re (* -1 re) im re (* -1 re) 6.341 * * [simplify]: iteration 0: 39 enodes 6.358 * * [simplify]: iteration 1: 92 enodes 6.395 * * [simplify]: iteration 2: 196 enodes 6.449 * * [simplify]: iteration 3: 435 enodes 6.627 * * [simplify]: iteration 4: 995 enodes 7.253 * * [simplify]: iteration 5: 3254 enodes 8.477 * * [simplify]: iteration complete: 5001 enodes 8.477 * * [simplify]: Extracting #0: cost 19 inf + 0 8.478 * * [simplify]: Extracting #1: cost 37 inf + 4 8.479 * * [simplify]: Extracting #2: cost 212 inf + 49 8.486 * * [simplify]: Extracting #3: cost 852 inf + 8041 8.518 * * [simplify]: Extracting #4: cost 756 inf + 90254 8.568 * * [simplify]: Extracting #5: cost 387 inf + 186778 8.660 * * [simplify]: Extracting #6: cost 217 inf + 256600 8.747 * * [simplify]: Extracting #7: cost 64 inf + 347288 8.814 * * [simplify]: Extracting #8: cost 9 inf + 362642 8.874 * * [simplify]: Extracting #9: cost 0 inf + 365239 8.945 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re)))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re)))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re)))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re)))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) im re (- re) im re (- re) im re (- re) im re (- re) 8.970 * * * [progress]: adding candidates to table 9.470 * * [progress]: iteration 4 / 4 9.470 * * * [progress]: picking best candidate 9.490 * * * * [pick]: Picked # 9.490 * * * [progress]: localizing error 9.533 * * * [progress]: generating rewritten candidates 9.533 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1) 9.540 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 9.594 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 9.615 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2) 9.636 * * * [progress]: generating series expansions 9.637 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1) 9.637 * [backup-simplify]: Simplify (sqrt (+ (* im im) (* re re))) into (sqrt (+ (pow im 2) (pow re 2))) 9.637 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (im re) around 0 9.637 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 9.637 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 9.637 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.637 * [taylor]: Taking taylor expansion of im in re 9.637 * [backup-simplify]: Simplify im into im 9.637 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.637 * [taylor]: Taking taylor expansion of re in re 9.637 * [backup-simplify]: Simplify 0 into 0 9.637 * [backup-simplify]: Simplify 1 into 1 9.637 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.637 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 9.637 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 9.637 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.638 * [backup-simplify]: Simplify (+ 0 0) into 0 9.638 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 9.638 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 9.638 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 9.638 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.638 * [taylor]: Taking taylor expansion of im in im 9.638 * [backup-simplify]: Simplify 0 into 0 9.638 * [backup-simplify]: Simplify 1 into 1 9.638 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.638 * [taylor]: Taking taylor expansion of re in im 9.638 * [backup-simplify]: Simplify re into re 9.638 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.638 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 9.638 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 9.638 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 9.638 * [backup-simplify]: Simplify (+ 0 0) into 0 9.638 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 9.638 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 9.638 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 9.638 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.638 * [taylor]: Taking taylor expansion of im in im 9.638 * [backup-simplify]: Simplify 0 into 0 9.639 * [backup-simplify]: Simplify 1 into 1 9.639 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.639 * [taylor]: Taking taylor expansion of re in im 9.639 * [backup-simplify]: Simplify re into re 9.639 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.639 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 9.639 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 9.639 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 9.639 * [backup-simplify]: Simplify (+ 0 0) into 0 9.639 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 9.639 * [taylor]: Taking taylor expansion of re in re 9.639 * [backup-simplify]: Simplify 0 into 0 9.639 * [backup-simplify]: Simplify 1 into 1 9.639 * [backup-simplify]: Simplify 0 into 0 9.639 * [taylor]: Taking taylor expansion of 0 in re 9.639 * [backup-simplify]: Simplify 0 into 0 9.639 * [backup-simplify]: Simplify 0 into 0 9.639 * [backup-simplify]: Simplify 1 into 1 9.640 * [backup-simplify]: Simplify (* 1 1) into 1 9.640 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 9.640 * [backup-simplify]: Simplify (+ 1 0) into 1 9.641 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 9.641 * [taylor]: Taking taylor expansion of (/ 1/2 re) in re 9.641 * [taylor]: Taking taylor expansion of 1/2 in re 9.641 * [backup-simplify]: Simplify 1/2 into 1/2 9.641 * [taylor]: Taking taylor expansion of re in re 9.641 * [backup-simplify]: Simplify 0 into 0 9.641 * [backup-simplify]: Simplify 1 into 1 9.641 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.642 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.642 * [backup-simplify]: Simplify 0 into 0 9.642 * [backup-simplify]: Simplify 0 into 0 9.642 * [backup-simplify]: Simplify 0 into 0 9.642 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.643 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 9.643 * [backup-simplify]: Simplify (+ 0 0) into 0 9.643 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 9.643 * [taylor]: Taking taylor expansion of 0 in re 9.643 * [backup-simplify]: Simplify 0 into 0 9.643 * [backup-simplify]: Simplify 0 into 0 9.644 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.644 * [backup-simplify]: Simplify 0 into 0 9.644 * [backup-simplify]: Simplify 0 into 0 9.644 * [backup-simplify]: Simplify (* 1 (* re 1)) into re 9.644 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 9.644 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (im re) around 0 9.644 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 9.644 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 9.644 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.644 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.644 * [taylor]: Taking taylor expansion of re in re 9.644 * [backup-simplify]: Simplify 0 into 0 9.644 * [backup-simplify]: Simplify 1 into 1 9.644 * [backup-simplify]: Simplify (* 1 1) into 1 9.644 * [backup-simplify]: Simplify (/ 1 1) into 1 9.644 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.644 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.644 * [taylor]: Taking taylor expansion of im in re 9.645 * [backup-simplify]: Simplify im into im 9.645 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.645 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.645 * [backup-simplify]: Simplify (+ 1 0) into 1 9.645 * [backup-simplify]: Simplify (sqrt 1) into 1 9.646 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.646 * [backup-simplify]: Simplify (+ 0 0) into 0 9.647 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.647 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 9.647 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 9.647 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.647 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.647 * [taylor]: Taking taylor expansion of re in im 9.647 * [backup-simplify]: Simplify re into re 9.647 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.647 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.647 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.647 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.647 * [taylor]: Taking taylor expansion of im in im 9.647 * [backup-simplify]: Simplify 0 into 0 9.647 * [backup-simplify]: Simplify 1 into 1 9.647 * [backup-simplify]: Simplify (* 1 1) into 1 9.647 * [backup-simplify]: Simplify (/ 1 1) into 1 9.648 * [backup-simplify]: Simplify (+ 0 1) into 1 9.648 * [backup-simplify]: Simplify (sqrt 1) into 1 9.648 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.649 * [backup-simplify]: Simplify (+ 0 0) into 0 9.649 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.649 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 9.649 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 9.649 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.649 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.649 * [taylor]: Taking taylor expansion of re in im 9.649 * [backup-simplify]: Simplify re into re 9.650 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.650 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.650 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.650 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.650 * [taylor]: Taking taylor expansion of im in im 9.650 * [backup-simplify]: Simplify 0 into 0 9.650 * [backup-simplify]: Simplify 1 into 1 9.650 * [backup-simplify]: Simplify (* 1 1) into 1 9.650 * [backup-simplify]: Simplify (/ 1 1) into 1 9.650 * [backup-simplify]: Simplify (+ 0 1) into 1 9.651 * [backup-simplify]: Simplify (sqrt 1) into 1 9.653 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.653 * [backup-simplify]: Simplify (+ 0 0) into 0 9.654 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.654 * [taylor]: Taking taylor expansion of 1 in re 9.654 * [backup-simplify]: Simplify 1 into 1 9.654 * [taylor]: Taking taylor expansion of 0 in re 9.654 * [backup-simplify]: Simplify 0 into 0 9.654 * [backup-simplify]: Simplify 1 into 1 9.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.655 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 9.656 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 9.656 * [taylor]: Taking taylor expansion of (/ 1/2 (pow re 2)) in re 9.656 * [taylor]: Taking taylor expansion of 1/2 in re 9.656 * [backup-simplify]: Simplify 1/2 into 1/2 9.656 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.656 * [taylor]: Taking taylor expansion of re in re 9.656 * [backup-simplify]: Simplify 0 into 0 9.656 * [backup-simplify]: Simplify 1 into 1 9.656 * [backup-simplify]: Simplify (* 1 1) into 1 9.657 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.658 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.658 * [backup-simplify]: Simplify 0 into 0 9.658 * [backup-simplify]: Simplify 0 into 0 9.658 * [backup-simplify]: Simplify 0 into 0 9.658 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 9.658 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 9.658 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.659 * [backup-simplify]: Simplify (+ 0 0) into 0 9.660 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0 9.660 * [taylor]: Taking taylor expansion of 0 in re 9.660 * [backup-simplify]: Simplify 0 into 0 9.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.661 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.661 * [backup-simplify]: Simplify 0 into 0 9.661 * [backup-simplify]: Simplify 0 into 0 9.661 * [backup-simplify]: Simplify 0 into 0 9.661 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 im)))) into im 9.661 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- im)) (/ 1 (- im))) (* (/ 1 (- re)) (/ 1 (- re))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 9.661 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (im re) around 0 9.661 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 9.661 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 9.661 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.661 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.661 * [taylor]: Taking taylor expansion of re in re 9.661 * [backup-simplify]: Simplify 0 into 0 9.661 * [backup-simplify]: Simplify 1 into 1 9.662 * [backup-simplify]: Simplify (* 1 1) into 1 9.662 * [backup-simplify]: Simplify (/ 1 1) into 1 9.662 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.663 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.663 * [taylor]: Taking taylor expansion of im in re 9.663 * [backup-simplify]: Simplify im into im 9.663 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.663 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.663 * [backup-simplify]: Simplify (+ 1 0) into 1 9.663 * [backup-simplify]: Simplify (sqrt 1) into 1 9.664 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.664 * [backup-simplify]: Simplify (+ 0 0) into 0 9.665 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.665 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 9.665 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 9.665 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.665 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.665 * [taylor]: Taking taylor expansion of re in im 9.665 * [backup-simplify]: Simplify re into re 9.665 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.665 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.665 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.665 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.665 * [taylor]: Taking taylor expansion of im in im 9.665 * [backup-simplify]: Simplify 0 into 0 9.665 * [backup-simplify]: Simplify 1 into 1 9.665 * [backup-simplify]: Simplify (* 1 1) into 1 9.666 * [backup-simplify]: Simplify (/ 1 1) into 1 9.666 * [backup-simplify]: Simplify (+ 0 1) into 1 9.666 * [backup-simplify]: Simplify (sqrt 1) into 1 9.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.667 * [backup-simplify]: Simplify (+ 0 0) into 0 9.668 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.668 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 9.668 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 9.668 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.668 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.668 * [taylor]: Taking taylor expansion of re in im 9.668 * [backup-simplify]: Simplify re into re 9.668 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.668 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.668 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.668 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.668 * [taylor]: Taking taylor expansion of im in im 9.668 * [backup-simplify]: Simplify 0 into 0 9.668 * [backup-simplify]: Simplify 1 into 1 9.668 * [backup-simplify]: Simplify (* 1 1) into 1 9.668 * [backup-simplify]: Simplify (/ 1 1) into 1 9.669 * [backup-simplify]: Simplify (+ 0 1) into 1 9.669 * [backup-simplify]: Simplify (sqrt 1) into 1 9.669 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.670 * [backup-simplify]: Simplify (+ 0 0) into 0 9.670 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.670 * [taylor]: Taking taylor expansion of 1 in re 9.671 * [backup-simplify]: Simplify 1 into 1 9.671 * [taylor]: Taking taylor expansion of 0 in re 9.671 * [backup-simplify]: Simplify 0 into 0 9.671 * [backup-simplify]: Simplify 1 into 1 9.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.672 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 9.673 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 9.673 * [taylor]: Taking taylor expansion of (/ 1/2 (pow re 2)) in re 9.673 * [taylor]: Taking taylor expansion of 1/2 in re 9.673 * [backup-simplify]: Simplify 1/2 into 1/2 9.673 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.673 * [taylor]: Taking taylor expansion of re in re 9.673 * [backup-simplify]: Simplify 0 into 0 9.673 * [backup-simplify]: Simplify 1 into 1 9.673 * [backup-simplify]: Simplify (* 1 1) into 1 9.673 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.674 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.674 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.674 * [backup-simplify]: Simplify 0 into 0 9.675 * [backup-simplify]: Simplify 0 into 0 9.675 * [backup-simplify]: Simplify 0 into 0 9.675 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 9.675 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 9.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.676 * [backup-simplify]: Simplify (+ 0 0) into 0 9.676 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0 9.676 * [taylor]: Taking taylor expansion of 0 in re 9.677 * [backup-simplify]: Simplify 0 into 0 9.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.678 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.678 * [backup-simplify]: Simplify 0 into 0 9.678 * [backup-simplify]: Simplify 0 into 0 9.678 * [backup-simplify]: Simplify 0 into 0 9.678 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- im))))) into (* -1 im) 9.678 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 9.679 * [backup-simplify]: Simplify (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re)) into (/ (pow im 2) (+ re (sqrt (+ (pow im 2) (pow re 2))))) 9.679 * [approximate]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow im 2) (pow re 2))))) in (im re) around 0 9.679 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re 9.679 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.679 * [taylor]: Taking taylor expansion of im in re 9.679 * [backup-simplify]: Simplify im into im 9.679 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 9.679 * [taylor]: Taking taylor expansion of re in re 9.679 * [backup-simplify]: Simplify 0 into 0 9.679 * [backup-simplify]: Simplify 1 into 1 9.679 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 9.679 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 9.679 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.679 * [taylor]: Taking taylor expansion of im in re 9.679 * [backup-simplify]: Simplify im into im 9.679 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.679 * [taylor]: Taking taylor expansion of re in re 9.679 * [backup-simplify]: Simplify 0 into 0 9.679 * [backup-simplify]: Simplify 1 into 1 9.679 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.679 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 9.679 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 9.680 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.680 * [backup-simplify]: Simplify (+ 0 0) into 0 9.680 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 9.680 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.680 * [backup-simplify]: Simplify (+ 0 im) into im 9.680 * [backup-simplify]: Simplify (/ (pow im 2) im) into im 9.680 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im 9.680 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.680 * [taylor]: Taking taylor expansion of im in im 9.680 * [backup-simplify]: Simplify 0 into 0 9.680 * [backup-simplify]: Simplify 1 into 1 9.680 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 9.680 * [taylor]: Taking taylor expansion of re in im 9.681 * [backup-simplify]: Simplify re into re 9.681 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 9.681 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 9.681 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.681 * [taylor]: Taking taylor expansion of im in im 9.681 * [backup-simplify]: Simplify 0 into 0 9.681 * [backup-simplify]: Simplify 1 into 1 9.681 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.681 * [taylor]: Taking taylor expansion of re in im 9.681 * [backup-simplify]: Simplify re into re 9.681 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.681 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 9.681 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 9.681 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 9.681 * [backup-simplify]: Simplify (+ 0 0) into 0 9.682 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 9.682 * [backup-simplify]: Simplify (* 1 1) into 1 9.682 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 9.682 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 9.682 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im 9.682 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.682 * [taylor]: Taking taylor expansion of im in im 9.682 * [backup-simplify]: Simplify 0 into 0 9.682 * [backup-simplify]: Simplify 1 into 1 9.682 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 9.682 * [taylor]: Taking taylor expansion of re in im 9.682 * [backup-simplify]: Simplify re into re 9.682 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 9.682 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 9.682 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.682 * [taylor]: Taking taylor expansion of im in im 9.682 * [backup-simplify]: Simplify 0 into 0 9.682 * [backup-simplify]: Simplify 1 into 1 9.682 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.683 * [taylor]: Taking taylor expansion of re in im 9.683 * [backup-simplify]: Simplify re into re 9.683 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.683 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 9.683 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 9.683 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 9.683 * [backup-simplify]: Simplify (+ 0 0) into 0 9.683 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 9.684 * [backup-simplify]: Simplify (* 1 1) into 1 9.684 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 9.684 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 9.684 * [taylor]: Taking taylor expansion of (/ 1/2 re) in re 9.684 * [taylor]: Taking taylor expansion of 1/2 in re 9.684 * [backup-simplify]: Simplify 1/2 into 1/2 9.684 * [taylor]: Taking taylor expansion of re in re 9.684 * [backup-simplify]: Simplify 0 into 0 9.684 * [backup-simplify]: Simplify 1 into 1 9.685 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.686 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.686 * [backup-simplify]: Simplify 0 into 0 9.686 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.687 * [backup-simplify]: Simplify (+ 0 0) into 0 9.687 * [backup-simplify]: Simplify (- (/ 0 (* 2 re)) (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 9.687 * [taylor]: Taking taylor expansion of 0 in re 9.687 * [backup-simplify]: Simplify 0 into 0 9.687 * [backup-simplify]: Simplify 0 into 0 9.688 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.688 * [backup-simplify]: Simplify 0 into 0 9.689 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.689 * [backup-simplify]: Simplify (* 1 1) into 1 9.690 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 9.690 * [backup-simplify]: Simplify (+ 1 0) into 1 9.691 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 9.691 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re)) 9.692 * [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)))) 9.692 * [taylor]: Taking taylor expansion of (- (* 1/8 (/ 1 (pow re 3)))) in re 9.692 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow re 3))) in re 9.692 * [taylor]: Taking taylor expansion of 1/8 in re 9.692 * [backup-simplify]: Simplify 1/8 into 1/8 9.692 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re 9.692 * [taylor]: Taking taylor expansion of (pow re 3) in re 9.692 * [taylor]: Taking taylor expansion of re in re 9.692 * [backup-simplify]: Simplify 0 into 0 9.692 * [backup-simplify]: Simplify 1 into 1 9.692 * [backup-simplify]: Simplify (* 1 1) into 1 9.693 * [backup-simplify]: Simplify (* 1 1) into 1 9.693 * [backup-simplify]: Simplify (/ 1 1) into 1 9.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.696 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.698 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.699 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.702 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.703 * [backup-simplify]: Simplify (- 0) into 0 9.703 * [backup-simplify]: Simplify 0 into 0 9.703 * [backup-simplify]: Simplify 0 into 0 9.704 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.704 * [backup-simplify]: Simplify 0 into 0 9.704 * [backup-simplify]: Simplify 0 into 0 9.704 * [backup-simplify]: Simplify (/ (* (/ 1 im) (/ 1 im)) (+ (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re)))) (/ 1 re))) into (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2))) 9.705 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2))) in (im re) around 0 9.705 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2))) in re 9.705 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2)) in re 9.705 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 9.705 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.705 * [taylor]: Taking taylor expansion of re in re 9.705 * [backup-simplify]: Simplify 0 into 0 9.705 * [backup-simplify]: Simplify 1 into 1 9.705 * [backup-simplify]: Simplify (/ 1 1) into 1 9.705 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 9.705 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 9.705 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.706 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.706 * [taylor]: Taking taylor expansion of re in re 9.706 * [backup-simplify]: Simplify 0 into 0 9.706 * [backup-simplify]: Simplify 1 into 1 9.706 * [backup-simplify]: Simplify (* 1 1) into 1 9.706 * [backup-simplify]: Simplify (/ 1 1) into 1 9.706 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.706 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.707 * [taylor]: Taking taylor expansion of im in re 9.707 * [backup-simplify]: Simplify im into im 9.707 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.707 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.707 * [backup-simplify]: Simplify (+ 1 0) into 1 9.708 * [backup-simplify]: Simplify (sqrt 1) into 1 9.708 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.709 * [backup-simplify]: Simplify (+ 0 0) into 0 9.710 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.710 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.710 * [taylor]: Taking taylor expansion of im in re 9.710 * [backup-simplify]: Simplify im into im 9.711 * [backup-simplify]: Simplify (+ 1 1) into 2 9.711 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.711 * [backup-simplify]: Simplify (* 2 (pow im 2)) into (* 2 (pow im 2)) 9.711 * [backup-simplify]: Simplify (/ 1 (* 2 (pow im 2))) into (/ 1/2 (pow im 2)) 9.711 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2))) in im 9.711 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2)) in im 9.711 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 9.711 * [taylor]: Taking taylor expansion of (/ 1 re) in im 9.711 * [taylor]: Taking taylor expansion of re in im 9.711 * [backup-simplify]: Simplify re into re 9.711 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 9.711 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 9.711 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 9.711 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.711 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.711 * [taylor]: Taking taylor expansion of re in im 9.711 * [backup-simplify]: Simplify re into re 9.711 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.711 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.711 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.712 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.712 * [taylor]: Taking taylor expansion of im in im 9.712 * [backup-simplify]: Simplify 0 into 0 9.712 * [backup-simplify]: Simplify 1 into 1 9.712 * [backup-simplify]: Simplify (* 1 1) into 1 9.712 * [backup-simplify]: Simplify (/ 1 1) into 1 9.713 * [backup-simplify]: Simplify (+ 0 1) into 1 9.713 * [backup-simplify]: Simplify (sqrt 1) into 1 9.714 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.715 * [backup-simplify]: Simplify (+ 0 0) into 0 9.716 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.716 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.716 * [taylor]: Taking taylor expansion of im in im 9.716 * [backup-simplify]: Simplify 0 into 0 9.716 * [backup-simplify]: Simplify 1 into 1 9.716 * [backup-simplify]: Simplify (+ 0 1) into 1 9.717 * [backup-simplify]: Simplify (* 1 1) into 1 9.717 * [backup-simplify]: Simplify (* 1 1) into 1 9.718 * [backup-simplify]: Simplify (/ 1 1) into 1 9.718 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2))) in im 9.718 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2)) in im 9.718 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 9.718 * [taylor]: Taking taylor expansion of (/ 1 re) in im 9.718 * [taylor]: Taking taylor expansion of re in im 9.718 * [backup-simplify]: Simplify re into re 9.718 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 9.718 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 9.718 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 9.718 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.718 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.718 * [taylor]: Taking taylor expansion of re in im 9.718 * [backup-simplify]: Simplify re into re 9.718 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.718 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.718 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.718 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.718 * [taylor]: Taking taylor expansion of im in im 9.718 * [backup-simplify]: Simplify 0 into 0 9.718 * [backup-simplify]: Simplify 1 into 1 9.719 * [backup-simplify]: Simplify (* 1 1) into 1 9.719 * [backup-simplify]: Simplify (/ 1 1) into 1 9.720 * [backup-simplify]: Simplify (+ 0 1) into 1 9.720 * [backup-simplify]: Simplify (sqrt 1) into 1 9.721 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.722 * [backup-simplify]: Simplify (+ 0 0) into 0 9.723 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.723 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.723 * [taylor]: Taking taylor expansion of im in im 9.723 * [backup-simplify]: Simplify 0 into 0 9.723 * [backup-simplify]: Simplify 1 into 1 9.723 * [backup-simplify]: Simplify (+ 0 1) into 1 9.724 * [backup-simplify]: Simplify (* 1 1) into 1 9.724 * [backup-simplify]: Simplify (* 1 1) into 1 9.725 * [backup-simplify]: Simplify (/ 1 1) into 1 9.725 * [taylor]: Taking taylor expansion of 1 in re 9.725 * [backup-simplify]: Simplify 1 into 1 9.725 * [backup-simplify]: Simplify 0 into 0 9.725 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.726 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 9.726 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 re) 1)) into (/ 1 re) 9.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 9.726 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 9.726 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.726 * [taylor]: Taking taylor expansion of re in re 9.726 * [backup-simplify]: Simplify 0 into 0 9.726 * [backup-simplify]: Simplify 1 into 1 9.727 * [backup-simplify]: Simplify (/ 1 1) into 1 9.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.729 * [backup-simplify]: Simplify (- 0) into 0 9.729 * [backup-simplify]: Simplify 0 into 0 9.729 * [backup-simplify]: Simplify 0 into 0 9.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.730 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 9.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.732 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 9.734 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 9.734 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 9.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 re) 0) (* (* 1/2 (/ 1 (pow re 2))) 1))) into (* 1/2 (/ 1 (pow re 2))) 9.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 9.735 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 9.735 * [taylor]: Taking taylor expansion of 1/2 in re 9.735 * [backup-simplify]: Simplify 1/2 into 1/2 9.735 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.735 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.735 * [taylor]: Taking taylor expansion of re in re 9.735 * [backup-simplify]: Simplify 0 into 0 9.735 * [backup-simplify]: Simplify 1 into 1 9.736 * [backup-simplify]: Simplify (* 1 1) into 1 9.736 * [backup-simplify]: Simplify (/ 1 1) into 1 9.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.738 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.743 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.743 * [backup-simplify]: Simplify 0 into 0 9.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.744 * [backup-simplify]: Simplify (- 0) into 0 9.744 * [backup-simplify]: Simplify 0 into 0 9.744 * [backup-simplify]: Simplify 0 into 0 9.744 * [backup-simplify]: Simplify 0 into 0 9.745 * [backup-simplify]: Simplify (/ (* (/ 1 (- im)) (/ 1 (- im))) (+ (sqrt (+ (* (/ 1 (- im)) (/ 1 (- im))) (* (/ 1 (- re)) (/ 1 (- re))))) (/ 1 (- re)))) into (/ 1 (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) 9.745 * [approximate]: Taking taylor expansion of (/ 1 (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in (im re) around 0 9.745 * [taylor]: Taking taylor expansion of (/ 1 (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 9.745 * [taylor]: Taking taylor expansion of (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 9.745 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.745 * [taylor]: Taking taylor expansion of im in re 9.745 * [backup-simplify]: Simplify im into im 9.745 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 9.745 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 9.745 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 9.745 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.745 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.745 * [taylor]: Taking taylor expansion of re in re 9.746 * [backup-simplify]: Simplify 0 into 0 9.746 * [backup-simplify]: Simplify 1 into 1 9.746 * [backup-simplify]: Simplify (* 1 1) into 1 9.746 * [backup-simplify]: Simplify (/ 1 1) into 1 9.746 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.746 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.746 * [taylor]: Taking taylor expansion of im in re 9.746 * [backup-simplify]: Simplify im into im 9.747 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.747 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.747 * [backup-simplify]: Simplify (+ 1 0) into 1 9.748 * [backup-simplify]: Simplify (sqrt 1) into 1 9.748 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.749 * [backup-simplify]: Simplify (+ 0 0) into 0 9.750 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.750 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.750 * [taylor]: Taking taylor expansion of re in re 9.750 * [backup-simplify]: Simplify 0 into 0 9.750 * [backup-simplify]: Simplify 1 into 1 9.751 * [backup-simplify]: Simplify (/ 1 1) into 1 9.751 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.751 * [backup-simplify]: Simplify (- 1) into -1 9.752 * [backup-simplify]: Simplify (+ 1 -1) into 0 9.752 * [backup-simplify]: Simplify (* (pow im 2) 0) into 0 9.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.754 * [backup-simplify]: Simplify (- 0) into 0 9.754 * [backup-simplify]: Simplify (+ 0 0) into 0 9.754 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.755 * [backup-simplify]: Simplify (+ (* (pow im 2) 0) (* 0 0)) into 0 9.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.757 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 9.758 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 9.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.759 * [backup-simplify]: Simplify (- 0) into 0 9.759 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 9.760 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 9.761 * [backup-simplify]: Simplify (+ (* (pow im 2) (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 0))) into 1/2 9.761 * [backup-simplify]: Simplify (/ 1 1/2) into 2 9.761 * [taylor]: Taking taylor expansion of (/ 1 (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 9.761 * [taylor]: Taking taylor expansion of (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 9.761 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.761 * [taylor]: Taking taylor expansion of im in im 9.761 * [backup-simplify]: Simplify 0 into 0 9.761 * [backup-simplify]: Simplify 1 into 1 9.761 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 9.761 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 9.761 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 9.761 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.761 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.761 * [taylor]: Taking taylor expansion of re in im 9.761 * [backup-simplify]: Simplify re into re 9.761 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.762 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.762 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.762 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.762 * [taylor]: Taking taylor expansion of im in im 9.762 * [backup-simplify]: Simplify 0 into 0 9.762 * [backup-simplify]: Simplify 1 into 1 9.762 * [backup-simplify]: Simplify (* 1 1) into 1 9.762 * [backup-simplify]: Simplify (/ 1 1) into 1 9.763 * [backup-simplify]: Simplify (+ 0 1) into 1 9.763 * [backup-simplify]: Simplify (sqrt 1) into 1 9.764 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.765 * [backup-simplify]: Simplify (+ 0 0) into 0 9.766 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.766 * [taylor]: Taking taylor expansion of (/ 1 re) in im 9.766 * [taylor]: Taking taylor expansion of re in im 9.766 * [backup-simplify]: Simplify re into re 9.766 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 9.766 * [backup-simplify]: Simplify (* 1 1) into 1 9.767 * [backup-simplify]: Simplify (+ 1 0) into 1 9.767 * [backup-simplify]: Simplify (* 1 1) into 1 9.768 * [backup-simplify]: Simplify (/ 1 1) into 1 9.768 * [taylor]: Taking taylor expansion of (/ 1 (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 9.768 * [taylor]: Taking taylor expansion of (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 9.768 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.768 * [taylor]: Taking taylor expansion of im in im 9.768 * [backup-simplify]: Simplify 0 into 0 9.768 * [backup-simplify]: Simplify 1 into 1 9.768 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 9.768 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 9.768 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 9.768 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.768 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.768 * [taylor]: Taking taylor expansion of re in im 9.768 * [backup-simplify]: Simplify re into re 9.768 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.768 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.768 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.768 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.768 * [taylor]: Taking taylor expansion of im in im 9.768 * [backup-simplify]: Simplify 0 into 0 9.769 * [backup-simplify]: Simplify 1 into 1 9.769 * [backup-simplify]: Simplify (* 1 1) into 1 9.769 * [backup-simplify]: Simplify (/ 1 1) into 1 9.770 * [backup-simplify]: Simplify (+ 0 1) into 1 9.770 * [backup-simplify]: Simplify (sqrt 1) into 1 9.771 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.772 * [backup-simplify]: Simplify (+ 0 0) into 0 9.773 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.773 * [taylor]: Taking taylor expansion of (/ 1 re) in im 9.773 * [taylor]: Taking taylor expansion of re in im 9.773 * [backup-simplify]: Simplify re into re 9.773 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 9.774 * [backup-simplify]: Simplify (* 1 1) into 1 9.774 * [backup-simplify]: Simplify (+ 1 0) into 1 9.775 * [backup-simplify]: Simplify (* 1 1) into 1 9.775 * [backup-simplify]: Simplify (/ 1 1) into 1 9.775 * [taylor]: Taking taylor expansion of 1 in re 9.775 * [backup-simplify]: Simplify 1 into 1 9.775 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 9.775 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 9.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.776 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 re))) (* 0 1)) into (- (/ 1 re)) 9.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 9.777 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.777 * [taylor]: Taking taylor expansion of re in re 9.777 * [backup-simplify]: Simplify 0 into 0 9.777 * [backup-simplify]: Simplify 1 into 1 9.777 * [backup-simplify]: Simplify (/ 1 1) into 1 9.777 * [backup-simplify]: Simplify 1 into 1 9.777 * [backup-simplify]: Simplify 1 into 1 9.778 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.779 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 9.781 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 9.781 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 9.781 * [backup-simplify]: Simplify (- 0) into 0 9.781 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 9.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.783 * [backup-simplify]: Simplify (+ (* 1 (* 1/2 (/ 1 (pow re 2)))) (+ (* 0 (- (/ 1 re))) (* 0 1))) into (* 1/2 (/ 1 (pow re 2))) 9.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 9.783 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 9.783 * [taylor]: Taking taylor expansion of 1/2 in re 9.783 * [backup-simplify]: Simplify 1/2 into 1/2 9.783 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.784 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.784 * [taylor]: Taking taylor expansion of re in re 9.784 * [backup-simplify]: Simplify 0 into 0 9.784 * [backup-simplify]: Simplify 1 into 1 9.784 * [backup-simplify]: Simplify (* 1 1) into 1 9.784 * [backup-simplify]: Simplify (/ 1 1) into 1 9.785 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.787 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.787 * [backup-simplify]: Simplify 0 into 0 9.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.787 * [backup-simplify]: Simplify 0 into 0 9.788 * [backup-simplify]: Simplify 0 into 0 9.788 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 9.788 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 9.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.792 * [backup-simplify]: Simplify (+ 0 0) into 0 9.793 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0 9.793 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 9.793 * [backup-simplify]: Simplify (- 0) into 0 9.794 * [backup-simplify]: Simplify (+ 0 0) into 0 9.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (* 1/2 (/ 1 (pow re 2)))) (+ (* 0 (- (/ 1 re))) (* 0 1)))) into 0 9.796 * [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 9.797 * [taylor]: Taking taylor expansion of 0 in re 9.797 * [backup-simplify]: Simplify 0 into 0 9.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.799 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 9.799 * [backup-simplify]: Simplify 0 into 0 9.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.800 * [backup-simplify]: Simplify 0 into 0 9.800 * [backup-simplify]: Simplify 0 into 0 9.801 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 (- im))))) (* 1 (* (/ 1 (/ 1 (- re))) 1))) into (- (+ re im)) 9.801 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 9.801 * [backup-simplify]: Simplify (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re)))) into (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))))) 9.801 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))))) in (im re) around 0 9.801 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))))) in re 9.801 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re 9.801 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.801 * [taylor]: Taking taylor expansion of 2.0 in re 9.801 * [backup-simplify]: Simplify 2.0 into 2.0 9.802 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.802 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.802 * [taylor]: Taking taylor expansion of im in re 9.802 * [backup-simplify]: Simplify im into im 9.802 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re 9.803 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re 9.803 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 9.803 * [taylor]: Taking taylor expansion of re in re 9.803 * [backup-simplify]: Simplify 0 into 0 9.803 * [backup-simplify]: Simplify 1 into 1 9.803 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 9.803 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 9.803 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.803 * [taylor]: Taking taylor expansion of im in re 9.803 * [backup-simplify]: Simplify im into im 9.803 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.803 * [taylor]: Taking taylor expansion of re in re 9.803 * [backup-simplify]: Simplify 0 into 0 9.803 * [backup-simplify]: Simplify 1 into 1 9.803 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.803 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 9.803 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 9.803 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.804 * [backup-simplify]: Simplify (+ 0 0) into 0 9.804 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 9.804 * [backup-simplify]: Simplify (+ 0 im) into im 9.804 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 9.804 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im)) 9.804 * [backup-simplify]: Simplify (+ 1 0) into 1 9.804 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 1 im)))) into (- (/ 1 (pow im 2))) 9.805 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2))) (* 2 (sqrt (/ 1 im)))) into (* -1/2 (sqrt (/ 1 (pow im 3)))) 9.805 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))))) in im 9.805 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 9.805 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.805 * [taylor]: Taking taylor expansion of 2.0 in im 9.805 * [backup-simplify]: Simplify 2.0 into 2.0 9.805 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.806 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.806 * [taylor]: Taking taylor expansion of im in im 9.806 * [backup-simplify]: Simplify 0 into 0 9.806 * [backup-simplify]: Simplify 1 into 1 9.806 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in im 9.806 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im 9.806 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 9.806 * [taylor]: Taking taylor expansion of re in im 9.806 * [backup-simplify]: Simplify re into re 9.806 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 9.806 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 9.806 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.806 * [taylor]: Taking taylor expansion of im in im 9.806 * [backup-simplify]: Simplify 0 into 0 9.806 * [backup-simplify]: Simplify 1 into 1 9.806 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.806 * [taylor]: Taking taylor expansion of re in im 9.806 * [backup-simplify]: Simplify re into re 9.806 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.807 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 9.807 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 9.807 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 9.807 * [backup-simplify]: Simplify (+ 0 0) into 0 9.807 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 9.807 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 9.807 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 9.807 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 9.808 * [backup-simplify]: Simplify (+ 0 0) into 0 9.808 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 9.808 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 9.808 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))))) in im 9.808 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 9.808 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.808 * [taylor]: Taking taylor expansion of 2.0 in im 9.808 * [backup-simplify]: Simplify 2.0 into 2.0 9.809 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.809 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.809 * [taylor]: Taking taylor expansion of im in im 9.809 * [backup-simplify]: Simplify 0 into 0 9.809 * [backup-simplify]: Simplify 1 into 1 9.809 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in im 9.809 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im 9.809 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 9.809 * [taylor]: Taking taylor expansion of re in im 9.809 * [backup-simplify]: Simplify re into re 9.809 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 9.809 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 9.809 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.809 * [taylor]: Taking taylor expansion of im in im 9.809 * [backup-simplify]: Simplify 0 into 0 9.809 * [backup-simplify]: Simplify 1 into 1 9.809 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.809 * [taylor]: Taking taylor expansion of re in im 9.809 * [backup-simplify]: Simplify re into re 9.809 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.809 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 9.810 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 9.810 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 9.810 * [backup-simplify]: Simplify (+ 0 0) into 0 9.810 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 9.810 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 9.810 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 9.810 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 9.810 * [backup-simplify]: Simplify (+ 0 0) into 0 9.810 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 9.810 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 9.811 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 9.811 * [backup-simplify]: Simplify (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2))) into 0 9.811 * [taylor]: Taking taylor expansion of 0 in re 9.811 * [backup-simplify]: Simplify 0 into 0 9.811 * [backup-simplify]: Simplify 0 into 0 9.812 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0) 9.813 * [backup-simplify]: Simplify (+ (* 0 0) (* (sqrt 2.0) (* (sqrt (/ 1 re)) (sqrt 1/2)))) into (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re))) 9.813 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re))) in re 9.813 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 1/2)) in re 9.813 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.813 * [taylor]: Taking taylor expansion of 2.0 in re 9.813 * [backup-simplify]: Simplify 2.0 into 2.0 9.813 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.814 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.814 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 9.814 * [taylor]: Taking taylor expansion of 1/2 in re 9.814 * [backup-simplify]: Simplify 1/2 into 1/2 9.814 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 9.815 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 9.815 * [taylor]: Taking taylor expansion of (sqrt (/ 1 re)) in re 9.815 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.815 * [taylor]: Taking taylor expansion of re in re 9.815 * [backup-simplify]: Simplify 0 into 0 9.815 * [backup-simplify]: Simplify 1 into 1 9.815 * [backup-simplify]: Simplify (/ 1 1) into 1 9.815 * [backup-simplify]: Simplify (sqrt 0) into 0 9.816 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.817 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 1/2)) into (* (sqrt 2.0) (sqrt 1/2)) 9.817 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 1/2))) into 0 9.820 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 9.821 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 9.821 * [backup-simplify]: Simplify 0 into 0 9.822 * [backup-simplify]: Simplify (* 1 1) into 1 9.822 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 9.822 * [backup-simplify]: Simplify (+ 1 0) into 1 9.823 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 9.823 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re)) 9.823 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ (* 1/2 (/ 1 re)) (* 2 re))) (* 0 (/ 0 (* 2 re))))) into (- (* 1/8 (/ 1 (pow re 3)))) 9.824 * [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)))) 9.824 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 9.825 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0 9.826 * [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 9.826 * [taylor]: Taking taylor expansion of 0 in re 9.826 * [backup-simplify]: Simplify 0 into 0 9.826 * [backup-simplify]: Simplify 0 into 0 9.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.829 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.829 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 9.830 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 9.831 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 9.834 * [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)))) 9.835 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 9.835 * [backup-simplify]: Simplify 0 into 0 9.836 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.836 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 9.837 * [backup-simplify]: Simplify (+ 0 0) into 0 9.837 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 9.837 * [backup-simplify]: Simplify (+ 0 0) into 0 9.837 * [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 9.838 * [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 9.839 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.840 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.841 * [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)))))) 9.842 * [taylor]: Taking taylor expansion of (- (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) in re 9.842 * [taylor]: Taking taylor expansion of (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5))))) in re 9.842 * [taylor]: Taking taylor expansion of 1/16 in re 9.842 * [backup-simplify]: Simplify 1/16 into 1/16 9.842 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))) in re 9.842 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 1/2)) in re 9.842 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.842 * [taylor]: Taking taylor expansion of 2.0 in re 9.842 * [backup-simplify]: Simplify 2.0 into 2.0 9.842 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.843 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.843 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 9.843 * [taylor]: Taking taylor expansion of 1/2 in re 9.843 * [backup-simplify]: Simplify 1/2 into 1/2 9.843 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 9.844 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 9.846 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt 1/2)) into (/ (sqrt 2.0) (sqrt 1/2)) 9.846 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 5))) in re 9.846 * [taylor]: Taking taylor expansion of (/ 1 (pow re 5)) in re 9.846 * [taylor]: Taking taylor expansion of (pow re 5) in re 9.846 * [taylor]: Taking taylor expansion of re in re 9.846 * [backup-simplify]: Simplify 0 into 0 9.846 * [backup-simplify]: Simplify 1 into 1 9.846 * [backup-simplify]: Simplify (* 1 1) into 1 9.847 * [backup-simplify]: Simplify (* 1 1) into 1 9.847 * [backup-simplify]: Simplify (* 1 1) into 1 9.848 * [backup-simplify]: Simplify (/ 1 1) into 1 9.848 * [backup-simplify]: Simplify (sqrt 0) into 0 9.849 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.850 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.852 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.855 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.858 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.859 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))))) into 0 9.859 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 9.860 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 9.861 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0 9.861 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.862 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 9.863 * [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 9.866 * [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)))) 9.868 * [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)))) 9.870 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 9.871 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (sqrt 1/2)) 0) into 0 9.875 * [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)))) 9.878 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 9.880 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 9.891 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) (pow (* 1 im) 3)) (+ (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) (* re im)) (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) (* 1 im)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (* re (* im (sqrt 1/2))))) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 3)) (sqrt 1/2))) (- (* +nan.0 (* (sqrt 2.0) (* im (sqrt 1/2))))))))) 9.892 * [backup-simplify]: Simplify (sqrt (* 2.0 (/ (* (/ 1 im) (/ 1 im)) (+ (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re)))) (/ 1 re))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) 9.892 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in (im re) around 0 9.892 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in re 9.892 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 9.892 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.892 * [taylor]: Taking taylor expansion of 2.0 in re 9.892 * [backup-simplify]: Simplify 2.0 into 2.0 9.893 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.893 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.893 * [taylor]: Taking taylor expansion of im in re 9.893 * [backup-simplify]: Simplify im into im 9.894 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 9.894 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 9.894 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 9.894 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 9.894 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.894 * [taylor]: Taking taylor expansion of re in re 9.894 * [backup-simplify]: Simplify 0 into 0 9.894 * [backup-simplify]: Simplify 1 into 1 9.894 * [backup-simplify]: Simplify (/ 1 1) into 1 9.894 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 9.894 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 9.894 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.894 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.894 * [taylor]: Taking taylor expansion of re in re 9.895 * [backup-simplify]: Simplify 0 into 0 9.895 * [backup-simplify]: Simplify 1 into 1 9.895 * [backup-simplify]: Simplify (* 1 1) into 1 9.895 * [backup-simplify]: Simplify (/ 1 1) into 1 9.895 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.895 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.895 * [taylor]: Taking taylor expansion of im in re 9.895 * [backup-simplify]: Simplify im into im 9.895 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.896 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.896 * [backup-simplify]: Simplify (+ 1 0) into 1 9.896 * [backup-simplify]: Simplify (sqrt 1) into 1 9.897 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.898 * [backup-simplify]: Simplify (+ 0 0) into 0 9.899 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.899 * [backup-simplify]: Simplify (+ 1 1) into 2 9.900 * [backup-simplify]: Simplify (/ 1 2) into 1/2 9.900 * [backup-simplify]: Simplify (sqrt 0) into 0 9.902 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0 9.902 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in im 9.902 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 9.902 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.902 * [taylor]: Taking taylor expansion of 2.0 in im 9.902 * [backup-simplify]: Simplify 2.0 into 2.0 9.902 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.903 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.903 * [taylor]: Taking taylor expansion of im in im 9.903 * [backup-simplify]: Simplify 0 into 0 9.903 * [backup-simplify]: Simplify 1 into 1 9.904 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 9.904 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 9.904 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 9.904 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 9.904 * [taylor]: Taking taylor expansion of (/ 1 re) in im 9.904 * [taylor]: Taking taylor expansion of re in im 9.904 * [backup-simplify]: Simplify re into re 9.904 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 9.904 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 9.904 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 9.904 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.904 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.904 * [taylor]: Taking taylor expansion of re in im 9.904 * [backup-simplify]: Simplify re into re 9.904 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.904 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.905 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.905 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.905 * [taylor]: Taking taylor expansion of im in im 9.905 * [backup-simplify]: Simplify 0 into 0 9.905 * [backup-simplify]: Simplify 1 into 1 9.905 * [backup-simplify]: Simplify (* 1 1) into 1 9.905 * [backup-simplify]: Simplify (/ 1 1) into 1 9.906 * [backup-simplify]: Simplify (+ 0 1) into 1 9.906 * [backup-simplify]: Simplify (sqrt 1) into 1 9.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.907 * [backup-simplify]: Simplify (+ 0 0) into 0 9.907 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.908 * [backup-simplify]: Simplify (+ 0 1) into 1 9.908 * [backup-simplify]: Simplify (/ 1 1) into 1 9.908 * [backup-simplify]: Simplify (sqrt 0) into 0 9.909 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.909 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in im 9.909 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 9.909 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.909 * [taylor]: Taking taylor expansion of 2.0 in im 9.909 * [backup-simplify]: Simplify 2.0 into 2.0 9.909 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.910 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.910 * [taylor]: Taking taylor expansion of im in im 9.910 * [backup-simplify]: Simplify 0 into 0 9.910 * [backup-simplify]: Simplify 1 into 1 9.910 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 9.910 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 9.910 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 9.910 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 9.910 * [taylor]: Taking taylor expansion of (/ 1 re) in im 9.910 * [taylor]: Taking taylor expansion of re in im 9.910 * [backup-simplify]: Simplify re into re 9.910 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 9.911 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 9.911 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 9.911 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.911 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.911 * [taylor]: Taking taylor expansion of re in im 9.911 * [backup-simplify]: Simplify re into re 9.911 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.911 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.911 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.911 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.911 * [taylor]: Taking taylor expansion of im in im 9.911 * [backup-simplify]: Simplify 0 into 0 9.911 * [backup-simplify]: Simplify 1 into 1 9.911 * [backup-simplify]: Simplify (* 1 1) into 1 9.911 * [backup-simplify]: Simplify (/ 1 1) into 1 9.912 * [backup-simplify]: Simplify (+ 0 1) into 1 9.912 * [backup-simplify]: Simplify (sqrt 1) into 1 9.912 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.913 * [backup-simplify]: Simplify (+ 0 0) into 0 9.913 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.913 * [backup-simplify]: Simplify (+ 0 1) into 1 9.914 * [backup-simplify]: Simplify (/ 1 1) into 1 9.914 * [backup-simplify]: Simplify (sqrt 0) into 0 9.915 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.915 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 9.915 * [taylor]: Taking taylor expansion of 0 in re 9.915 * [backup-simplify]: Simplify 0 into 0 9.915 * [backup-simplify]: Simplify 0 into 0 9.916 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 9.917 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 9.917 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 9.917 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 9.917 * [taylor]: Taking taylor expansion of +nan.0 in re 9.917 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.917 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.917 * [taylor]: Taking taylor expansion of 2.0 in re 9.917 * [backup-simplify]: Simplify 2.0 into 2.0 9.917 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.918 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.918 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 9.919 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 9.920 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 9.920 * [backup-simplify]: Simplify 0 into 0 9.920 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 9.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 9.921 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0))) 9.922 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 9.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.923 * [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))))) 9.923 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 9.923 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 9.923 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 9.923 * [taylor]: Taking taylor expansion of +nan.0 in re 9.923 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.923 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.923 * [taylor]: Taking taylor expansion of 2.0 in re 9.923 * [backup-simplify]: Simplify 2.0 into 2.0 9.924 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.924 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.924 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 9.924 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 9.924 * [taylor]: Taking taylor expansion of +nan.0 in re 9.924 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.924 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 9.924 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.924 * [taylor]: Taking taylor expansion of 2.0 in re 9.924 * [backup-simplify]: Simplify 2.0 into 2.0 9.924 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.925 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.925 * [taylor]: Taking taylor expansion of re in re 9.925 * [backup-simplify]: Simplify 0 into 0 9.925 * [backup-simplify]: Simplify 1 into 1 9.925 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 9.926 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 9.926 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 9.927 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 9.927 * [backup-simplify]: Simplify (- 0) into 0 9.928 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 9.930 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 9.930 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 9.931 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 9.931 * [backup-simplify]: Simplify (- 0) into 0 9.931 * [backup-simplify]: Simplify 0 into 0 9.931 * [backup-simplify]: Simplify 0 into 0 9.931 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 9.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.933 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 9.933 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 9.934 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 9.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 9.934 * [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)))) 9.935 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.936 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.937 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 9.937 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) in re 9.937 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))) in re 9.937 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 9.937 * [taylor]: Taking taylor expansion of +nan.0 in re 9.937 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.937 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.937 * [taylor]: Taking taylor expansion of 2.0 in re 9.937 * [backup-simplify]: Simplify 2.0 into 2.0 9.937 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.938 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.938 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))) in re 9.938 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))) in re 9.938 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 9.938 * [taylor]: Taking taylor expansion of +nan.0 in re 9.938 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.938 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 9.938 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.938 * [taylor]: Taking taylor expansion of 2.0 in re 9.938 * [backup-simplify]: Simplify 2.0 into 2.0 9.938 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.939 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.939 * [taylor]: Taking taylor expansion of re in re 9.939 * [backup-simplify]: Simplify 0 into 0 9.939 * [backup-simplify]: Simplify 1 into 1 9.939 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 9.939 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))) in re 9.939 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 9.939 * [taylor]: Taking taylor expansion of +nan.0 in re 9.939 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.939 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 9.939 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.939 * [taylor]: Taking taylor expansion of 2.0 in re 9.939 * [backup-simplify]: Simplify 2.0 into 2.0 9.940 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.940 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.940 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.940 * [taylor]: Taking taylor expansion of re in re 9.940 * [backup-simplify]: Simplify 0 into 0 9.940 * [backup-simplify]: Simplify 1 into 1 9.940 * [backup-simplify]: Simplify (* 1 1) into 1 9.941 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 9.941 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 9.942 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 9.943 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 9.943 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 9.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.944 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.945 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 9.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.947 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 9.947 * [backup-simplify]: Simplify (- 0) into 0 9.948 * [backup-simplify]: Simplify (+ 0 0) into 0 9.948 * [backup-simplify]: Simplify (- 0) into 0 9.950 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 9.952 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 9.953 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 9.958 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 im)) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 im))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))))) 9.958 * [backup-simplify]: Simplify (sqrt (* 2.0 (/ (* (/ 1 (- im)) (/ 1 (- im))) (+ (sqrt (+ (* (/ 1 (- im)) (/ 1 (- im))) (* (/ 1 (- re)) (/ 1 (- re))))) (/ 1 (- re)))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) 9.958 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in (im re) around 0 9.958 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in re 9.959 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 9.959 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.959 * [taylor]: Taking taylor expansion of 2.0 in re 9.959 * [backup-simplify]: Simplify 2.0 into 2.0 9.959 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.960 * [taylor]: Taking taylor expansion of im in re 9.960 * [backup-simplify]: Simplify im into im 9.960 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 9.960 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 9.960 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 9.960 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 9.960 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 9.960 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 9.960 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.960 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.961 * [taylor]: Taking taylor expansion of re in re 9.961 * [backup-simplify]: Simplify 0 into 0 9.961 * [backup-simplify]: Simplify 1 into 1 9.961 * [backup-simplify]: Simplify (* 1 1) into 1 9.961 * [backup-simplify]: Simplify (/ 1 1) into 1 9.961 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.961 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.961 * [taylor]: Taking taylor expansion of im in re 9.961 * [backup-simplify]: Simplify im into im 9.961 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.962 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.962 * [backup-simplify]: Simplify (+ 1 0) into 1 9.962 * [backup-simplify]: Simplify (sqrt 1) into 1 9.963 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.964 * [backup-simplify]: Simplify (+ 0 0) into 0 9.965 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.965 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.965 * [taylor]: Taking taylor expansion of re in re 9.965 * [backup-simplify]: Simplify 0 into 0 9.965 * [backup-simplify]: Simplify 1 into 1 9.966 * [backup-simplify]: Simplify (/ 1 1) into 1 9.966 * [backup-simplify]: Simplify (- 1) into -1 9.966 * [backup-simplify]: Simplify (+ 1 -1) into 0 9.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.967 * [backup-simplify]: Simplify (- 0) into 0 9.968 * [backup-simplify]: Simplify (+ 0 0) into 0 9.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.970 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 9.971 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 9.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.972 * [backup-simplify]: Simplify (- 0) into 0 9.972 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 9.973 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2)) 9.973 * [backup-simplify]: Simplify (sqrt 0) into 0 9.974 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2)) 9.974 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im 9.974 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 9.974 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.974 * [taylor]: Taking taylor expansion of 2.0 in im 9.974 * [backup-simplify]: Simplify 2.0 into 2.0 9.974 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.975 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.975 * [taylor]: Taking taylor expansion of im in im 9.975 * [backup-simplify]: Simplify 0 into 0 9.975 * [backup-simplify]: Simplify 1 into 1 9.976 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 9.976 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 9.976 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 9.976 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 9.976 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 9.976 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 9.976 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.976 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.976 * [taylor]: Taking taylor expansion of re in im 9.976 * [backup-simplify]: Simplify re into re 9.976 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.976 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.976 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.976 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.976 * [taylor]: Taking taylor expansion of im in im 9.976 * [backup-simplify]: Simplify 0 into 0 9.976 * [backup-simplify]: Simplify 1 into 1 9.977 * [backup-simplify]: Simplify (* 1 1) into 1 9.977 * [backup-simplify]: Simplify (/ 1 1) into 1 9.977 * [backup-simplify]: Simplify (+ 0 1) into 1 9.978 * [backup-simplify]: Simplify (sqrt 1) into 1 9.978 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.980 * [backup-simplify]: Simplify (+ 0 0) into 0 9.980 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.980 * [taylor]: Taking taylor expansion of (/ 1 re) in im 9.980 * [taylor]: Taking taylor expansion of re in im 9.980 * [backup-simplify]: Simplify re into re 9.980 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 9.981 * [backup-simplify]: Simplify (+ 1 0) into 1 9.981 * [backup-simplify]: Simplify (/ 1 1) into 1 9.982 * [backup-simplify]: Simplify (sqrt 0) into 0 9.983 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.983 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im 9.983 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 9.983 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.983 * [taylor]: Taking taylor expansion of 2.0 in im 9.983 * [backup-simplify]: Simplify 2.0 into 2.0 9.983 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.984 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.984 * [taylor]: Taking taylor expansion of im in im 9.984 * [backup-simplify]: Simplify 0 into 0 9.984 * [backup-simplify]: Simplify 1 into 1 9.985 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 9.985 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 9.985 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 9.985 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 9.985 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 9.985 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 9.985 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.985 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.985 * [taylor]: Taking taylor expansion of re in im 9.985 * [backup-simplify]: Simplify re into re 9.985 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.986 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.986 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.986 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.986 * [taylor]: Taking taylor expansion of im in im 9.986 * [backup-simplify]: Simplify 0 into 0 9.986 * [backup-simplify]: Simplify 1 into 1 9.986 * [backup-simplify]: Simplify (* 1 1) into 1 9.986 * [backup-simplify]: Simplify (/ 1 1) into 1 9.987 * [backup-simplify]: Simplify (+ 0 1) into 1 9.987 * [backup-simplify]: Simplify (sqrt 1) into 1 9.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.989 * [backup-simplify]: Simplify (+ 0 0) into 0 9.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.990 * [taylor]: Taking taylor expansion of (/ 1 re) in im 9.990 * [taylor]: Taking taylor expansion of re in im 9.990 * [backup-simplify]: Simplify re into re 9.990 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 9.990 * [backup-simplify]: Simplify (+ 1 0) into 1 9.990 * [backup-simplify]: Simplify (/ 1 1) into 1 9.991 * [backup-simplify]: Simplify (sqrt 0) into 0 9.992 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.993 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 9.993 * [taylor]: Taking taylor expansion of 0 in re 9.993 * [backup-simplify]: Simplify 0 into 0 9.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 9.996 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 9.996 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 9.996 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 9.996 * [taylor]: Taking taylor expansion of +nan.0 in re 9.996 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.996 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.996 * [taylor]: Taking taylor expansion of 2.0 in re 9.996 * [backup-simplify]: Simplify 2.0 into 2.0 9.997 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.999 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.000 * [backup-simplify]: Simplify 0 into 0 10.000 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 10.000 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 10.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 10.001 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0)) 10.002 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 10.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.005 * [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))))) 10.005 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 10.005 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 10.005 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 10.005 * [taylor]: Taking taylor expansion of +nan.0 in re 10.005 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.005 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.005 * [taylor]: Taking taylor expansion of 2.0 in re 10.005 * [backup-simplify]: Simplify 2.0 into 2.0 10.005 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.006 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.006 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 10.006 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 10.006 * [taylor]: Taking taylor expansion of +nan.0 in re 10.006 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.006 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 10.006 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.006 * [taylor]: Taking taylor expansion of 2.0 in re 10.006 * [backup-simplify]: Simplify 2.0 into 2.0 10.007 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.007 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.007 * [taylor]: Taking taylor expansion of re in re 10.007 * [backup-simplify]: Simplify 0 into 0 10.007 * [backup-simplify]: Simplify 1 into 1 10.008 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 10.009 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 10.011 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 10.013 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 10.014 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 10.015 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 10.016 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 10.016 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 10.017 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 10.017 * [backup-simplify]: Simplify 0 into 0 10.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.019 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 10.019 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 10.019 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 10.020 * [backup-simplify]: Simplify (- 0) into 0 10.020 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 10.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 10.020 * [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)))) 10.021 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 10.022 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.023 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 10.023 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) in re 10.023 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))) in re 10.023 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 10.023 * [taylor]: Taking taylor expansion of +nan.0 in re 10.023 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.023 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.023 * [taylor]: Taking taylor expansion of 2.0 in re 10.023 * [backup-simplify]: Simplify 2.0 into 2.0 10.023 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.024 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.024 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))) in re 10.024 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))) in re 10.024 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 10.024 * [taylor]: Taking taylor expansion of +nan.0 in re 10.024 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.024 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 10.024 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.024 * [taylor]: Taking taylor expansion of 2.0 in re 10.024 * [backup-simplify]: Simplify 2.0 into 2.0 10.024 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.024 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.024 * [taylor]: Taking taylor expansion of re in re 10.025 * [backup-simplify]: Simplify 0 into 0 10.025 * [backup-simplify]: Simplify 1 into 1 10.025 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 10.025 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))) in re 10.025 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 10.025 * [taylor]: Taking taylor expansion of +nan.0 in re 10.025 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.025 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 10.025 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.025 * [taylor]: Taking taylor expansion of 2.0 in re 10.025 * [backup-simplify]: Simplify 2.0 into 2.0 10.025 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.026 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.026 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.026 * [taylor]: Taking taylor expansion of re in re 10.026 * [backup-simplify]: Simplify 0 into 0 10.026 * [backup-simplify]: Simplify 1 into 1 10.026 * [backup-simplify]: Simplify (* 1 1) into 1 10.027 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 10.027 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 10.028 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.028 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 10.029 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 10.029 * [backup-simplify]: Simplify (- 0) into 0 10.030 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 10.031 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 10.033 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 10.034 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 10.035 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 10.038 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 (- re))) (pow (/ 1 (- im)) 2))) (+ (- (* +nan.0 (sqrt 2.0))) (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 (- re))) (/ 1 (- im)))))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2))) (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (* (sqrt 2.0) re) im))))))) 10.038 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2) 10.038 * [backup-simplify]: Simplify (+ (sqrt (+ (* im im) (* re re))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2)))) 10.038 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (im re) around 0 10.038 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 10.038 * [taylor]: Taking taylor expansion of re in re 10.038 * [backup-simplify]: Simplify 0 into 0 10.038 * [backup-simplify]: Simplify 1 into 1 10.038 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 10.038 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 10.038 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.038 * [taylor]: Taking taylor expansion of im in re 10.038 * [backup-simplify]: Simplify im into im 10.038 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.038 * [taylor]: Taking taylor expansion of re in re 10.038 * [backup-simplify]: Simplify 0 into 0 10.038 * [backup-simplify]: Simplify 1 into 1 10.038 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.038 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 10.038 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.038 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.039 * [backup-simplify]: Simplify (+ 0 0) into 0 10.039 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.039 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 10.039 * [taylor]: Taking taylor expansion of re in im 10.039 * [backup-simplify]: Simplify re into re 10.039 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 10.039 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 10.039 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.039 * [taylor]: Taking taylor expansion of im in im 10.039 * [backup-simplify]: Simplify 0 into 0 10.039 * [backup-simplify]: Simplify 1 into 1 10.039 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.039 * [taylor]: Taking taylor expansion of re in im 10.039 * [backup-simplify]: Simplify re into re 10.039 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.039 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 10.039 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 10.039 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 10.039 * [backup-simplify]: Simplify (+ 0 0) into 0 10.039 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 10.039 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 10.039 * [taylor]: Taking taylor expansion of re in im 10.039 * [backup-simplify]: Simplify re into re 10.039 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 10.039 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 10.039 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.039 * [taylor]: Taking taylor expansion of im in im 10.039 * [backup-simplify]: Simplify 0 into 0 10.039 * [backup-simplify]: Simplify 1 into 1 10.039 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.039 * [taylor]: Taking taylor expansion of re in im 10.039 * [backup-simplify]: Simplify re into re 10.039 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.040 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 10.040 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 10.040 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 10.040 * [backup-simplify]: Simplify (+ 0 0) into 0 10.040 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 10.040 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 10.040 * [taylor]: Taking taylor expansion of (* 2 re) in re 10.040 * [taylor]: Taking taylor expansion of 2 in re 10.040 * [backup-simplify]: Simplify 2 into 2 10.040 * [taylor]: Taking taylor expansion of re in re 10.040 * [backup-simplify]: Simplify 0 into 0 10.040 * [backup-simplify]: Simplify 1 into 1 10.040 * [backup-simplify]: Simplify (* 2 0) into 0 10.040 * [backup-simplify]: Simplify 0 into 0 10.041 * [backup-simplify]: Simplify (+ 0 0) into 0 10.041 * [taylor]: Taking taylor expansion of 0 in re 10.041 * [backup-simplify]: Simplify 0 into 0 10.041 * [backup-simplify]: Simplify 0 into 0 10.041 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 10.041 * [backup-simplify]: Simplify 2 into 2 10.042 * [backup-simplify]: Simplify (* 1 1) into 1 10.042 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 10.043 * [backup-simplify]: Simplify (+ 1 0) into 1 10.044 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 10.044 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re)) 10.044 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 re)) in re 10.044 * [taylor]: Taking taylor expansion of 1/2 in re 10.044 * [backup-simplify]: Simplify 1/2 into 1/2 10.044 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.044 * [taylor]: Taking taylor expansion of re in re 10.044 * [backup-simplify]: Simplify 0 into 0 10.044 * [backup-simplify]: Simplify 1 into 1 10.045 * [backup-simplify]: Simplify (/ 1 1) into 1 10.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.046 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.046 * [backup-simplify]: Simplify 0 into 0 10.046 * [backup-simplify]: Simplify 0 into 0 10.047 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 10.047 * [backup-simplify]: Simplify 0 into 0 10.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.049 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 10.049 * [backup-simplify]: Simplify (+ 0 0) into 0 10.050 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 10.050 * [backup-simplify]: Simplify (+ 0 0) into 0 10.050 * [taylor]: Taking taylor expansion of 0 in re 10.050 * [backup-simplify]: Simplify 0 into 0 10.050 * [backup-simplify]: Simplify 0 into 0 10.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.052 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 10.052 * [backup-simplify]: Simplify 0 into 0 10.052 * [backup-simplify]: Simplify 0 into 0 10.052 * [backup-simplify]: Simplify (* 2 (* re 1)) into (* 2 re) 10.053 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re)))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) 10.053 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (im re) around 0 10.053 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 10.053 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.053 * [taylor]: Taking taylor expansion of re in re 10.053 * [backup-simplify]: Simplify 0 into 0 10.053 * [backup-simplify]: Simplify 1 into 1 10.053 * [backup-simplify]: Simplify (/ 1 1) into 1 10.053 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.053 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.053 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.053 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.053 * [taylor]: Taking taylor expansion of re in re 10.053 * [backup-simplify]: Simplify 0 into 0 10.053 * [backup-simplify]: Simplify 1 into 1 10.054 * [backup-simplify]: Simplify (* 1 1) into 1 10.054 * [backup-simplify]: Simplify (/ 1 1) into 1 10.054 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.054 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.054 * [taylor]: Taking taylor expansion of im in re 10.054 * [backup-simplify]: Simplify im into im 10.054 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.054 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.055 * [backup-simplify]: Simplify (+ 1 0) into 1 10.055 * [backup-simplify]: Simplify (sqrt 1) into 1 10.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.057 * [backup-simplify]: Simplify (+ 0 0) into 0 10.058 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.058 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 10.058 * [taylor]: Taking taylor expansion of (/ 1 re) in im 10.058 * [taylor]: Taking taylor expansion of re in im 10.058 * [backup-simplify]: Simplify re into re 10.058 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 10.058 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 10.058 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 10.058 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.058 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.058 * [taylor]: Taking taylor expansion of re in im 10.058 * [backup-simplify]: Simplify re into re 10.058 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.059 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.059 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.059 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.059 * [taylor]: Taking taylor expansion of im in im 10.059 * [backup-simplify]: Simplify 0 into 0 10.059 * [backup-simplify]: Simplify 1 into 1 10.059 * [backup-simplify]: Simplify (* 1 1) into 1 10.059 * [backup-simplify]: Simplify (/ 1 1) into 1 10.060 * [backup-simplify]: Simplify (+ 0 1) into 1 10.060 * [backup-simplify]: Simplify (sqrt 1) into 1 10.061 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.062 * [backup-simplify]: Simplify (+ 0 0) into 0 10.063 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.063 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 10.063 * [taylor]: Taking taylor expansion of (/ 1 re) in im 10.063 * [taylor]: Taking taylor expansion of re in im 10.063 * [backup-simplify]: Simplify re into re 10.063 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 10.063 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 10.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 10.063 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.063 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.063 * [taylor]: Taking taylor expansion of re in im 10.063 * [backup-simplify]: Simplify re into re 10.063 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.064 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.064 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.064 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.064 * [taylor]: Taking taylor expansion of im in im 10.064 * [backup-simplify]: Simplify 0 into 0 10.064 * [backup-simplify]: Simplify 1 into 1 10.064 * [backup-simplify]: Simplify (* 1 1) into 1 10.065 * [backup-simplify]: Simplify (/ 1 1) into 1 10.065 * [backup-simplify]: Simplify (+ 0 1) into 1 10.065 * [backup-simplify]: Simplify (sqrt 1) into 1 10.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.066 * [backup-simplify]: Simplify (+ 0 0) into 0 10.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.067 * [backup-simplify]: Simplify (+ 0 1) into 1 10.067 * [taylor]: Taking taylor expansion of 1 in re 10.067 * [backup-simplify]: Simplify 1 into 1 10.067 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 10.067 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.067 * [taylor]: Taking taylor expansion of re in re 10.067 * [backup-simplify]: Simplify 0 into 0 10.067 * [backup-simplify]: Simplify 1 into 1 10.068 * [backup-simplify]: Simplify (/ 1 1) into 1 10.068 * [backup-simplify]: Simplify 1 into 1 10.068 * [backup-simplify]: Simplify 1 into 1 10.068 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 10.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.069 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 10.070 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 10.070 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 10.070 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 10.070 * [taylor]: Taking taylor expansion of 1/2 in re 10.070 * [backup-simplify]: Simplify 1/2 into 1/2 10.070 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.070 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.070 * [taylor]: Taking taylor expansion of re in re 10.070 * [backup-simplify]: Simplify 0 into 0 10.070 * [backup-simplify]: Simplify 1 into 1 10.070 * [backup-simplify]: Simplify (* 1 1) into 1 10.070 * [backup-simplify]: Simplify (/ 1 1) into 1 10.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.072 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.072 * [backup-simplify]: Simplify 0 into 0 10.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.072 * [backup-simplify]: Simplify 0 into 0 10.072 * [backup-simplify]: Simplify 0 into 0 10.072 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 10.072 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 10.072 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 10.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.074 * [backup-simplify]: Simplify (+ 0 0) into 0 10.074 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0 10.074 * [backup-simplify]: Simplify (+ 0 0) into 0 10.074 * [taylor]: Taking taylor expansion of 0 in re 10.074 * [backup-simplify]: Simplify 0 into 0 10.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.076 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 10.076 * [backup-simplify]: Simplify 0 into 0 10.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.077 * [backup-simplify]: Simplify 0 into 0 10.077 * [backup-simplify]: Simplify 0 into 0 10.077 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 im)))) (* 1 (* (/ 1 (/ 1 re)) 1))) into (+ re im) 10.077 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 (- im)) (/ 1 (- im))) (* (/ 1 (- re)) (/ 1 (- re))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) 10.077 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (im re) around 0 10.077 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 10.077 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.077 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.077 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.077 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.077 * [taylor]: Taking taylor expansion of re in re 10.077 * [backup-simplify]: Simplify 0 into 0 10.077 * [backup-simplify]: Simplify 1 into 1 10.077 * [backup-simplify]: Simplify (* 1 1) into 1 10.078 * [backup-simplify]: Simplify (/ 1 1) into 1 10.078 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.078 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.078 * [taylor]: Taking taylor expansion of im in re 10.078 * [backup-simplify]: Simplify im into im 10.078 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.078 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.078 * [backup-simplify]: Simplify (+ 1 0) into 1 10.078 * [backup-simplify]: Simplify (sqrt 1) into 1 10.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.079 * [backup-simplify]: Simplify (+ 0 0) into 0 10.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.080 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.080 * [taylor]: Taking taylor expansion of re in re 10.080 * [backup-simplify]: Simplify 0 into 0 10.080 * [backup-simplify]: Simplify 1 into 1 10.080 * [backup-simplify]: Simplify (/ 1 1) into 1 10.080 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 10.080 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 10.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 10.080 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.080 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.080 * [taylor]: Taking taylor expansion of re in im 10.080 * [backup-simplify]: Simplify re into re 10.080 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.080 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.080 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.080 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.080 * [taylor]: Taking taylor expansion of im in im 10.080 * [backup-simplify]: Simplify 0 into 0 10.080 * [backup-simplify]: Simplify 1 into 1 10.080 * [backup-simplify]: Simplify (* 1 1) into 1 10.081 * [backup-simplify]: Simplify (/ 1 1) into 1 10.081 * [backup-simplify]: Simplify (+ 0 1) into 1 10.081 * [backup-simplify]: Simplify (sqrt 1) into 1 10.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.082 * [backup-simplify]: Simplify (+ 0 0) into 0 10.083 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.083 * [taylor]: Taking taylor expansion of (/ 1 re) in im 10.083 * [taylor]: Taking taylor expansion of re in im 10.083 * [backup-simplify]: Simplify re into re 10.083 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 10.083 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 10.083 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 10.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 10.083 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.083 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.083 * [taylor]: Taking taylor expansion of re in im 10.083 * [backup-simplify]: Simplify re into re 10.083 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.083 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.083 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.083 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.083 * [taylor]: Taking taylor expansion of im in im 10.083 * [backup-simplify]: Simplify 0 into 0 10.083 * [backup-simplify]: Simplify 1 into 1 10.083 * [backup-simplify]: Simplify (* 1 1) into 1 10.084 * [backup-simplify]: Simplify (/ 1 1) into 1 10.084 * [backup-simplify]: Simplify (+ 0 1) into 1 10.084 * [backup-simplify]: Simplify (sqrt 1) into 1 10.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.085 * [backup-simplify]: Simplify (+ 0 0) into 0 10.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.086 * [taylor]: Taking taylor expansion of (/ 1 re) in im 10.086 * [taylor]: Taking taylor expansion of re in im 10.086 * [backup-simplify]: Simplify re into re 10.086 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 10.086 * [backup-simplify]: Simplify (+ 1 0) into 1 10.086 * [taylor]: Taking taylor expansion of 1 in re 10.086 * [backup-simplify]: Simplify 1 into 1 10.086 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 10.086 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 10.086 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 10.086 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.086 * [taylor]: Taking taylor expansion of re in re 10.086 * [backup-simplify]: Simplify 0 into 0 10.086 * [backup-simplify]: Simplify 1 into 1 10.086 * [backup-simplify]: Simplify (/ 1 1) into 1 10.087 * [backup-simplify]: Simplify (- 1) into -1 10.087 * [backup-simplify]: Simplify -1 into -1 10.087 * [backup-simplify]: Simplify 1 into 1 10.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.088 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 10.089 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 10.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 10.089 * [backup-simplify]: Simplify (- 0) into 0 10.089 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 10.089 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 10.089 * [taylor]: Taking taylor expansion of 1/2 in re 10.089 * [backup-simplify]: Simplify 1/2 into 1/2 10.089 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.089 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.089 * [taylor]: Taking taylor expansion of re in re 10.089 * [backup-simplify]: Simplify 0 into 0 10.089 * [backup-simplify]: Simplify 1 into 1 10.089 * [backup-simplify]: Simplify (* 1 1) into 1 10.090 * [backup-simplify]: Simplify (/ 1 1) into 1 10.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.091 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.091 * [backup-simplify]: Simplify 0 into 0 10.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.092 * [backup-simplify]: Simplify (- 0) into 0 10.092 * [backup-simplify]: Simplify 0 into 0 10.092 * [backup-simplify]: Simplify 0 into 0 10.092 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 10.092 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 10.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.093 * [backup-simplify]: Simplify (+ 0 0) into 0 10.094 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0 10.094 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 10.094 * [backup-simplify]: Simplify (- 0) into 0 10.094 * [backup-simplify]: Simplify (+ 0 0) into 0 10.094 * [taylor]: Taking taylor expansion of 0 in re 10.094 * [backup-simplify]: Simplify 0 into 0 10.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.096 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 10.096 * [backup-simplify]: Simplify 0 into 0 10.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.096 * [backup-simplify]: Simplify (- 0) into 0 10.097 * [backup-simplify]: Simplify 0 into 0 10.097 * [backup-simplify]: Simplify 0 into 0 10.097 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 (- im))))) (* -1 (* (/ 1 (/ 1 (- re))) 1))) into (- re im) 10.097 * * * [progress]: simplifying candidates 10.097 * * * * [progress]: [ 1 / 80 ] simplifiying candidate # 10.097 * * * * [progress]: [ 2 / 80 ] simplifiying candidate # 10.097 * * * * [progress]: [ 3 / 80 ] simplifiying candidate # 10.097 * * * * [progress]: [ 4 / 80 ] simplifiying candidate # 10.097 * * * * [progress]: [ 5 / 80 ] simplifiying candidate # 10.097 * * * * [progress]: [ 6 / 80 ] simplifiying candidate # 10.097 * * * * [progress]: [ 7 / 80 ] simplifiying candidate # 10.097 * * * * [progress]: [ 8 / 80 ] simplifiying candidate # 10.097 * * * * [progress]: [ 9 / 80 ] simplifiying candidate # 10.097 * * * * [progress]: [ 10 / 80 ] simplifiying candidate # 10.098 * * * * [progress]: [ 11 / 80 ] simplifiying candidate # 10.098 * * * * [progress]: [ 12 / 80 ] simplifiying candidate # 10.098 * * * * [progress]: [ 13 / 80 ] simplifiying candidate # 10.098 * * * * [progress]: [ 14 / 80 ] simplifiying candidate # 10.098 * * * * [progress]: [ 15 / 80 ] simplifiying candidate # 10.098 * * * * [progress]: [ 16 / 80 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* im im) (* re re))))) re))))))> 10.098 * * * * [progress]: [ 17 / 80 ] simplifiying candidate # 10.098 * * * * [progress]: [ 18 / 80 ] simplifiying candidate # 10.098 * * * * [progress]: [ 19 / 80 ] simplifiying candidate # 10.098 * * * * [progress]: [ 20 / 80 ] simplifiying candidate # 10.098 * * * * [progress]: [ 21 / 80 ] simplifiying candidate # 10.098 * * * * [progress]: [ 22 / 80 ] simplifiying candidate # 10.098 * * * * [progress]: [ 23 / 80 ] simplifiying candidate # 10.098 * * * * [progress]: [ 24 / 80 ] simplifiying candidate # 10.099 * * * * [progress]: [ 25 / 80 ] simplifiying candidate # 10.099 * * * * [progress]: [ 26 / 80 ] simplifiying candidate # 10.099 * * * * [progress]: [ 27 / 80 ] simplifiying candidate # 10.099 * * * * [progress]: [ 28 / 80 ] simplifiying candidate # 10.099 * * * * [progress]: [ 29 / 80 ] simplifiying candidate # 10.099 * * * * [progress]: [ 30 / 80 ] simplifiying candidate # 10.099 * * * * [progress]: [ 31 / 80 ] simplifiying candidate # 10.099 * * * * [progress]: [ 32 / 80 ] simplifiying candidate # 10.099 * * * * [progress]: [ 33 / 80 ] simplifiying candidate # 10.099 * * * * [progress]: [ 34 / 80 ] simplifiying candidate # 10.099 * * * * [progress]: [ 35 / 80 ] simplifiying candidate # 10.099 * * * * [progress]: [ 36 / 80 ] simplifiying candidate # 10.099 * * * * [progress]: [ 37 / 80 ] simplifiying candidate # 10.099 * * * * [progress]: [ 38 / 80 ] simplifiying candidate # 10.099 * * * * [progress]: [ 39 / 80 ] simplifiying candidate # 10.100 * * * * [progress]: [ 40 / 80 ] simplifiying candidate # 10.100 * * * * [progress]: [ 41 / 80 ] simplifiying candidate # 10.100 * * * * [progress]: [ 42 / 80 ] simplifiying candidate #real (real->posit16 (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))))))))> 10.100 * * * * [progress]: [ 43 / 80 ] simplifiying candidate # 10.100 * * * * [progress]: [ 44 / 80 ] simplifiying candidate # 10.100 * * * * [progress]: [ 45 / 80 ] simplifiying candidate # 10.100 * * * * [progress]: [ 46 / 80 ] simplifiying candidate # 10.100 * * * * [progress]: [ 47 / 80 ] simplifiying candidate # 10.100 * * * * [progress]: [ 48 / 80 ] simplifiying candidate # 10.100 * * * * [progress]: [ 49 / 80 ] simplifiying candidate # 10.100 * * * * [progress]: [ 50 / 80 ] simplifiying candidate # 10.100 * * * * [progress]: [ 51 / 80 ] simplifiying candidate # 10.100 * * * * [progress]: [ 52 / 80 ] simplifiying candidate # 10.100 * * * * [progress]: [ 53 / 80 ] simplifiying candidate # 10.101 * * * * [progress]: [ 54 / 80 ] simplifiying candidate # 10.101 * * * * [progress]: [ 55 / 80 ] simplifiying candidate #real (real->posit16 (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))))))))> 10.101 * * * * [progress]: [ 56 / 80 ] simplifiying candidate # 10.101 * * * * [progress]: [ 57 / 80 ] simplifiying candidate # 10.101 * * * * [progress]: [ 58 / 80 ] simplifiying candidate # 10.101 * * * * [progress]: [ 59 / 80 ] simplifiying candidate # 10.101 * * * * [progress]: [ 60 / 80 ] simplifiying candidate # 10.101 * * * * [progress]: [ 61 / 80 ] simplifiying candidate # 10.101 * * * * [progress]: [ 62 / 80 ] simplifiying candidate # 10.101 * * * * [progress]: [ 63 / 80 ] simplifiying candidate # 10.101 * * * * [progress]: [ 64 / 80 ] simplifiying candidate # 10.101 * * * * [progress]: [ 65 / 80 ] simplifiying candidate # 10.101 * * * * [progress]: [ 66 / 80 ] simplifiying candidate # 10.101 * * * * [progress]: [ 67 / 80 ] simplifiying candidate #real (real->posit16 (+ (sqrt (+ (* im im) (* re re))) re))))))))> 10.102 * * * * [progress]: [ 68 / 80 ] simplifiying candidate # 10.102 * * * * [progress]: [ 69 / 80 ] simplifiying candidate # 10.102 * * * * [progress]: [ 70 / 80 ] simplifiying candidate # 10.102 * * * * [progress]: [ 71 / 80 ] simplifiying candidate # 10.102 * * * * [progress]: [ 72 / 80 ] simplifiying candidate # 10.102 * * * * [progress]: [ 73 / 80 ] simplifiying candidate # 10.102 * * * * [progress]: [ 74 / 80 ] simplifiying candidate # 10.102 * * * * [progress]: [ 75 / 80 ] simplifiying candidate # 10.102 * * * * [progress]: [ 76 / 80 ] simplifiying candidate # 10.102 * * * * [progress]: [ 77 / 80 ] simplifiying candidate # 10.102 * * * * [progress]: [ 78 / 80 ] simplifiying candidate # 10.102 * * * * [progress]: [ 79 / 80 ] simplifiying candidate # 10.102 * * * * [progress]: [ 80 / 80 ] simplifiying candidate # 10.106 * [simplify]: Simplifying: (log (sqrt (+ (* im im) (* re re)))) (exp (sqrt (+ (* im im) (* re re)))) (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re)))) (* (* (sqrt (+ (* im im) (* re re))) (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re)))) (sqrt (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (* im im) (* re re))))) (sqrt (cbrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt 1) (sqrt (+ (* im im) (* re re))) (sqrt (+ (pow (* im im) 3) (pow (* re re) 3))) (sqrt (+ (* (* im im) (* im im)) (- (* (* re re) (* re re)) (* (* im im) (* re re))))) (sqrt (- (* (* im im) (* im im)) (* (* re re) (* re re)))) (sqrt (- (* im im) (* re re))) (/ 1 2) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (real->posit16 (sqrt (+ (* im im) (* re re)))) (- (+ (log im) (log im)) (log (+ (sqrt (+ (* im im) (* re re))) re))) (- (log (* im im)) (log (+ (sqrt (+ (* im im) (* re re))) re))) (log (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))) (exp (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))) (/ (* (* (* im im) im) (* (* im im) im)) (* (* (+ (sqrt (+ (* im im) (* re re))) re) (+ (sqrt (+ (* im im) (* re re))) re)) (+ (sqrt (+ (* im im) (* re re))) re))) (/ (* (* (* im im) (* im im)) (* im im)) (* (* (+ (sqrt (+ (* im im) (* re re))) re) (+ (sqrt (+ (* im im) (* re re))) re)) (+ (sqrt (+ (* im im) (* re re))) re))) (* (cbrt (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))) (cbrt (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re)))) (cbrt (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))) (* (* (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re)) (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))) (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))) (sqrt (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))) (sqrt (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))) (- (* im im)) (- (+ (sqrt (+ (* im im) (* re re))) re)) (/ im (* (cbrt (+ (sqrt (+ (* im im) (* re re))) re)) (cbrt (+ (sqrt (+ (* im im) (* re re))) re)))) (/ im (cbrt (+ (sqrt (+ (* im im) (* re re))) re))) (/ im (sqrt (+ (sqrt (+ (* im im) (* re re))) re))) (/ im (sqrt (+ (sqrt (+ (* im im) (* re re))) re))) (/ im 1) (/ im (+ (sqrt (+ (* im im) (* re re))) re)) (/ im 1) (/ im (+ (sqrt (+ (* im im) (* re re))) re)) (/ 1 (+ (sqrt (+ (* im im) (* re re))) re)) (/ (+ (sqrt (+ (* im im) (* re re))) re) (* im im)) (/ (* im im) (* (cbrt (+ (sqrt (+ (* im im) (* re re))) re)) (cbrt (+ (sqrt (+ (* im im) (* re re))) re)))) (/ (* im im) (sqrt (+ (sqrt (+ (* im im) (* re re))) re))) (/ (* im im) 1) (/ (* im im) 1) (/ (+ (sqrt (+ (* im im) (* re re))) re) im) (/ (* im im) (+ (pow (sqrt (+ (* im im) (* re re))) 3) (pow re 3))) (/ (* im im) (- (* (sqrt (+ (* im im) (* re re))) (sqrt (+ (* im im) (* re re)))) (* re re))) (real->posit16 (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))) (log (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))))) (exp (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))))) (* (cbrt (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))))) (cbrt (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re)))))) (cbrt (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))))) (* (* (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re)))) (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))))) (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))))) (sqrt 2.0) (sqrt (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))) (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))))) (sqrt (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))))) (real->posit16 (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))))) (* (exp (sqrt (+ (* im im) (* re re)))) (exp re)) (log (+ (sqrt (+ (* im im) (* re re))) re)) (exp (+ (sqrt (+ (* im im) (* re re))) re)) (* (cbrt (+ (sqrt (+ (* im im) (* re re))) re)) (cbrt (+ (sqrt (+ (* im im) (* re re))) re))) (cbrt (+ (sqrt (+ (* im im) (* re re))) re)) (* (* (+ (sqrt (+ (* im im) (* re re))) re) (+ (sqrt (+ (* im im) (* re re))) re)) (+ (sqrt (+ (* im im) (* re re))) re)) (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (+ (pow (sqrt (+ (* im im) (* re re))) 3) (pow re 3)) (+ (* (sqrt (+ (* im im) (* re re))) (sqrt (+ (* im im) (* re re)))) (- (* re re) (* (sqrt (+ (* im im) (* re re))) re))) (- (* (sqrt (+ (* im im) (* re re))) (sqrt (+ (* im im) (* re re)))) (* re re)) (- (sqrt (+ (* im im) (* re re))) re) (+ (sqrt (+ (* im im) (* re re))) re) (real->posit16 (+ (sqrt (+ (* im im) (* re re))) re)) re im (* -1 im) 0 0 (- (+ re im)) (- (+ (* +nan.0 (* (sqrt 2.0) (* re (* im (sqrt 1/2))))) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 3)) (sqrt 1/2))) (- (* +nan.0 (* (sqrt 2.0) (* im (sqrt 1/2))))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))))) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2))) (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (* (sqrt 2.0) re) im))))))) (* 2 re) (+ re im) (- re im) 10.109 * * [simplify]: iteration 0: 150 enodes 10.147 * * [simplify]: iteration 1: 408 enodes 10.299 * * [simplify]: iteration 2: 1409 enodes 10.825 * * [simplify]: iteration complete: 5000 enodes 10.826 * * [simplify]: Extracting #0: cost 69 inf + 0 10.828 * * [simplify]: Extracting #1: cost 620 inf + 87 10.836 * * [simplify]: Extracting #2: cost 1320 inf + 4650 10.856 * * [simplify]: Extracting #3: cost 1643 inf + 36142 10.901 * * [simplify]: Extracting #4: cost 563 inf + 265088 10.979 * * [simplify]: Extracting #5: cost 45 inf + 406518 11.060 * * [simplify]: Extracting #6: cost 5 inf + 418068 11.156 * * [simplify]: Extracting #7: cost 0 inf + 419493 11.312 * [simplify]: Simplified to: (log (sqrt (+ (* im im) (* re re)))) (exp (sqrt (+ (* im im) (* re re)))) (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re)))) (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (fabs (cbrt (+ (* im im) (* re re)))) (sqrt (cbrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) 1 (sqrt (+ (* im im) (* re re))) (sqrt (+ (* (* (* im im) im) (* (* im im) im)) (* (* re (* re re)) (* re (* re re))))) (sqrt (+ (* (* re re) (* re re)) (* (* im im) (- (* im im) (* re re))))) (sqrt (* (+ (* im im) (* re re)) (- (* im im) (* re re)))) (sqrt (- (* im im) (* re re))) 1/2 (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (real->posit16 (sqrt (+ (* im im) (* re re)))) (log (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))) (log (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))) (log (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))) (exp (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))) (* (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re)) (* (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re)) (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re)))) (* (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re)) (* (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re)) (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re)))) (* (cbrt (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))) (cbrt (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re)))) (cbrt (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))) (* (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re)) (* (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re)) (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re)))) (sqrt (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))) (sqrt (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))) (* (- im) im) (- (+ (sqrt (+ (* im im) (* re re))) re)) (/ im (* (cbrt (+ (sqrt (+ (* im im) (* re re))) re)) (cbrt (+ (sqrt (+ (* im im) (* re re))) re)))) (/ im (cbrt (+ (sqrt (+ (* im 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(sqrt (+ (* im im) (* re re))) re))))) (cbrt (sqrt (/ (* (* im im) 2.0) (+ (sqrt (+ (* im im) (* re re))) re)))) (* (sqrt (/ (* (* im im) 2.0) (+ (sqrt (+ (* im im) (* re re))) re))) (/ (* (* im im) 2.0) (+ (sqrt (+ (* im im) (* re re))) re))) (sqrt 2.0) (sqrt (/ (* im im) (+ (sqrt (+ (* im im) (* re re))) re))) (sqrt (* (* im im) 2.0)) (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) 1/2 1/2 (sqrt (sqrt (/ (* (* im im) 2.0) (+ (sqrt (+ (* im im) (* re re))) re)))) (sqrt (sqrt (/ (* (* im im) 2.0) (+ (sqrt (+ (* im im) (* re re))) re)))) (real->posit16 (sqrt (/ (* (* im im) 2.0) (+ (sqrt (+ (* im im) (* re re))) re)))) (exp (+ (sqrt (+ (* im im) (* re re))) re)) (log (+ (sqrt (+ (* im im) (* re re))) re)) (exp (+ (sqrt (+ (* im im) (* re re))) re)) (* (cbrt (+ (sqrt (+ (* im im) (* re re))) re)) (cbrt (+ (sqrt (+ (* im im) (* re re))) re))) (cbrt (+ (sqrt (+ (* im im) (* re re))) re)) (* (+ (sqrt (+ (* im im) (* re re))) re) (* (+ (sqrt (+ (* im im) (* re re))) re) (+ (sqrt (+ (* im im) (* re re))) re))) (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (+ (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* re (* re re))) (+ (* (sqrt (+ (* im im) (* re re))) (- (sqrt (+ (* im im) (* re re))) re)) (* re re)) (+ (* im im) 0) (- (sqrt (+ (* im im) (* re re))) re) (+ (sqrt (+ (* im im) (* re re))) re) (real->posit16 (+ (sqrt (+ (* im im) (* re re))) re)) re im (- im) 0 0 (- (+ re im)) (+ (- (* (* (* im re) (* (sqrt 1/2) (sqrt 2.0))) +nan.0)) (* +nan.0 (- (/ (sqrt 2.0) (/ (sqrt 1/2) (* (* im im) im))) (* (* (sqrt 1/2) im) (sqrt 2.0))))) (- (+ (- (* (sqrt 2.0) +nan.0)) (* (/ (sqrt 2.0) im) +nan.0)) (/ (* (/ (sqrt 2.0) im) +nan.0) im)) (- (- (* (/ +nan.0 im) (/ (* (sqrt 2.0) re) im)) (* +nan.0 (- (sqrt 2.0) (/ (* (sqrt 2.0) re) im))))) (* 2 re) (+ im re) (- re im) 11.325 * * * [progress]: adding candidates to table 11.792 * [progress]: [Phase 3 of 3] Extracting. 11.793 * * [regime]: Finding splitpoints for: (# # # # # # #) 11.796 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re) 11.796 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # #) 11.848 * * * * [regimes]: Trying to branch on (* im im) from (# # #) 11.881 * * * * [regimes]: Trying to branch on im from (# # # # # # #) 11.989 * * * * [regimes]: Trying to branch on re from (# # # # # # #) 12.063 * * * [regime]: Found split indices: #