0.927 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.136 * * * [progress]: [2/2] Setting up program. 0.140 * [progress]: [Phase 2 of 3] Improving. 0.142 * [simplify]: Simplifying: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.143 * * [simplify]: Extracting # 0 : cost 0 0.144 * * [simplify]: Extracting # 1 : cost 0 0.144 * * [simplify]: Extracting # 2 : cost 0 0.144 * * [simplify]: Extracting # 3 : cost 0 0.144 * * [simplify]: Extracting # 4 : cost 0 0.144 * * [simplify]: Extracting # 5 : cost 0 0.144 * * [simplify]: Extracting # 6 : cost 0 0.144 * * [simplify]: Extracting # 7 : cost 0 0.144 * * [simplify]: Extracting # 8 : cost 0 0.144 * * [simplify]: iteration 0 : 12 enodes (cost 15 ) 0.149 * * [simplify]: Extracting # 0 : cost 0 0.149 * * [simplify]: Extracting # 1 : cost 0 0.149 * * [simplify]: Extracting # 2 : cost 0 0.149 * * [simplify]: iteration 1 : 17 enodes (cost 15 ) 0.153 * * [simplify]: Extracting # 0 : cost 0 0.153 * * [simplify]: Extracting # 1 : cost 0 0.153 * * [simplify]: Extracting # 2 : cost 0 0.153 * * [simplify]: iteration 2 : 24 enodes (cost 15 ) 0.162 * * [simplify]: Extracting # 0 : cost 0 0.162 * * [simplify]: Extracting # 1 : cost 0 0.162 * * [simplify]: Extracting # 2 : cost 0 0.162 * * [simplify]: iteration 3 : 30 enodes (cost 15 ) 0.172 * * [simplify]: Extracting # 0 : cost 0 0.172 * * [simplify]: Extracting # 1 : cost 0 0.172 * * [simplify]: Extracting # 2 : cost 0 0.172 * * [simplify]: iteration 4 : 35 enodes (cost 15 ) 0.183 * * [simplify]: Extracting # 0 : cost 0 0.183 * * [simplify]: iteration done: 35 enodes (cost 15 ) 0.184 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.219 * * [progress]: iteration 1 / 4 0.219 * * * [progress]: picking best candidate 0.222 * * * * [pick]: Picked # 0.222 * * * [progress]: localizing error 0.240 * * * [progress]: generating rewritten candidates 0.240 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 0.251 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.303 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1) 0.313 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.360 * * * [progress]: generating series expansions 0.361 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 0.365 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.365 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.366 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.366 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 * [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 0.367 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.367 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.367 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.367 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.368 * [backup-simplify]: Simplify (+ 0 0) into 0 0.368 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.368 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.368 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.368 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.368 * [taylor]: Taking taylor expansion of re in re 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify 1 into 1 0.368 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.368 * [taylor]: Taking taylor expansion of im in re 0.368 * [backup-simplify]: Simplify im into im 0.368 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.368 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.369 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.369 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.369 * [backup-simplify]: Simplify (+ 0 0) into 0 0.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.369 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.369 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 * [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 0.369 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.369 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.369 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.369 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.370 * [backup-simplify]: Simplify (+ 0 0) into 0 0.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.370 * [taylor]: Taking taylor expansion of im in im 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 1 into 1 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [taylor]: Taking taylor expansion of 0 in im 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 1 into 1 0.371 * [backup-simplify]: Simplify (* 1 1) into 1 0.371 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.372 * [backup-simplify]: Simplify (+ 1 0) into 1 0.372 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.372 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.372 * [taylor]: Taking taylor expansion of 1/2 in im 0.372 * [backup-simplify]: Simplify 1/2 into 1/2 0.372 * [taylor]: Taking taylor expansion of im in im 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 1 into 1 0.372 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.373 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.373 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify 0 into 0 0.374 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.374 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.374 * [backup-simplify]: Simplify (+ 0 0) into 0 0.375 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.375 * [taylor]: Taking taylor expansion of 0 in im 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.376 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.376 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.376 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.376 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.376 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.376 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.376 * [taylor]: Taking taylor expansion of im in im 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify 1 into 1 0.376 * [backup-simplify]: Simplify (* 1 1) into 1 0.376 * [backup-simplify]: Simplify (/ 1 1) into 1 0.376 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.376 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.376 * [taylor]: Taking taylor expansion of re in im 0.376 * [backup-simplify]: Simplify re into re 0.376 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.377 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.377 * [backup-simplify]: Simplify (+ 1 0) into 1 0.377 * [backup-simplify]: Simplify (sqrt 1) into 1 0.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.378 * [backup-simplify]: Simplify (+ 0 0) into 0 0.379 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.379 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.379 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.379 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.379 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.379 * [taylor]: Taking taylor expansion of im in re 0.379 * [backup-simplify]: Simplify im into im 0.379 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.379 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.379 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.379 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.379 * [taylor]: Taking taylor expansion of re in re 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify 1 into 1 0.379 * [backup-simplify]: Simplify (* 1 1) into 1 0.380 * [backup-simplify]: Simplify (/ 1 1) into 1 0.380 * [backup-simplify]: Simplify (+ 0 1) into 1 0.380 * [backup-simplify]: Simplify (sqrt 1) into 1 0.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.381 * [backup-simplify]: Simplify (+ 0 0) into 0 0.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.382 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.382 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.382 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.382 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.382 * [taylor]: Taking taylor expansion of im in re 0.382 * [backup-simplify]: Simplify im into im 0.382 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.382 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.382 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.382 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.382 * [taylor]: Taking taylor expansion of re in re 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify 1 into 1 0.383 * [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 1 in im 0.385 * [backup-simplify]: Simplify 1 into 1 0.385 * [taylor]: Taking taylor expansion of 0 in im 0.385 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify 1 into 1 0.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.386 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.387 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.387 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.387 * [taylor]: Taking taylor expansion of 1/2 in im 0.387 * [backup-simplify]: Simplify 1/2 into 1/2 0.387 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.387 * [taylor]: Taking taylor expansion of im in im 0.387 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify 1 into 1 0.387 * [backup-simplify]: Simplify (* 1 1) into 1 0.388 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.388 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.389 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.391 * [backup-simplify]: Simplify (+ 0 0) into 0 0.391 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.391 * [taylor]: Taking taylor expansion of 0 in im 0.391 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.401 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.401 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.401 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.402 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.402 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.402 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.402 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.402 * [taylor]: Taking taylor expansion of im in im 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify 1 into 1 0.403 * [backup-simplify]: Simplify (* 1 1) into 1 0.403 * [backup-simplify]: Simplify (/ 1 1) into 1 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.403 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.403 * [taylor]: Taking taylor expansion of re in im 0.403 * [backup-simplify]: Simplify re into re 0.404 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.404 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.404 * [backup-simplify]: Simplify (+ 1 0) into 1 0.405 * [backup-simplify]: Simplify (sqrt 1) into 1 0.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.406 * [backup-simplify]: Simplify (+ 0 0) into 0 0.407 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.407 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.407 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.407 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.407 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.407 * [taylor]: Taking taylor expansion of im in re 0.407 * [backup-simplify]: Simplify im into im 0.407 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.407 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.407 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.407 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.407 * [taylor]: Taking taylor expansion of re in re 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify 1 into 1 0.408 * [backup-simplify]: Simplify (* 1 1) into 1 0.408 * [backup-simplify]: Simplify (/ 1 1) into 1 0.409 * [backup-simplify]: Simplify (+ 0 1) into 1 0.409 * [backup-simplify]: Simplify (sqrt 1) into 1 0.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.411 * [backup-simplify]: Simplify (+ 0 0) into 0 0.412 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.412 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.412 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.412 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.412 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.412 * [taylor]: Taking taylor expansion of im in re 0.412 * [backup-simplify]: Simplify im into im 0.412 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.412 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.412 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.412 * [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 (* 1 1) into 1 0.413 * [backup-simplify]: Simplify (/ 1 1) into 1 0.414 * [backup-simplify]: Simplify (+ 0 1) into 1 0.414 * [backup-simplify]: Simplify (sqrt 1) into 1 0.415 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.416 * [backup-simplify]: Simplify (+ 0 0) into 0 0.416 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.417 * [taylor]: Taking taylor expansion of 1 in im 0.417 * [backup-simplify]: Simplify 1 into 1 0.417 * [taylor]: Taking taylor expansion of 0 in im 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify 1 into 1 0.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.419 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.420 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.420 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.420 * [taylor]: Taking taylor expansion of 1/2 in im 0.420 * [backup-simplify]: Simplify 1/2 into 1/2 0.420 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.420 * [taylor]: Taking taylor expansion of im in im 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify 1 into 1 0.421 * [backup-simplify]: Simplify (* 1 1) into 1 0.421 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.422 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.423 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.425 * [backup-simplify]: Simplify (+ 0 0) into 0 0.426 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.426 * [taylor]: Taking taylor expansion of 0 in im 0.426 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.429 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.429 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 0.429 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 0.429 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.429 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.429 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.429 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.429 * [taylor]: Taking taylor expansion of re in im 0.429 * [backup-simplify]: Simplify re into re 0.429 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.429 * [taylor]: Taking taylor expansion of im in im 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify 1 into 1 0.429 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.429 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.430 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.430 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.430 * [backup-simplify]: Simplify (+ 0 0) into 0 0.430 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.430 * [taylor]: Taking taylor expansion of re in im 0.430 * [backup-simplify]: Simplify re into re 0.430 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.430 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.430 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.430 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.430 * [taylor]: Taking taylor expansion of re in re 0.430 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify 1 into 1 0.430 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.431 * [taylor]: Taking taylor expansion of im in re 0.431 * [backup-simplify]: Simplify im into im 0.431 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.431 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.431 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.431 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.431 * [backup-simplify]: Simplify (+ 0 0) into 0 0.432 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 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 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.432 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.432 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.432 * [taylor]: Taking taylor expansion of im in re 0.432 * [backup-simplify]: Simplify im into im 0.432 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.432 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.432 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.432 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.433 * [backup-simplify]: Simplify (+ 0 0) into 0 0.433 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.433 * [taylor]: Taking taylor expansion of re in re 0.433 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify 1 into 1 0.433 * [backup-simplify]: Simplify (- 0) into 0 0.434 * [backup-simplify]: Simplify (+ im 0) into im 0.434 * [taylor]: Taking taylor expansion of im in im 0.434 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify 1 into 1 0.434 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify (- 1) into -1 0.434 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.434 * [taylor]: Taking taylor expansion of -1 in im 0.434 * [backup-simplify]: Simplify -1 into -1 0.434 * [backup-simplify]: Simplify -1 into -1 0.435 * [backup-simplify]: Simplify 1 into 1 0.435 * [backup-simplify]: Simplify (* 1 1) into 1 0.435 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.436 * [backup-simplify]: Simplify (+ 1 0) into 1 0.437 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.437 * [backup-simplify]: Simplify (- 0) into 0 0.437 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 0.437 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.437 * [taylor]: Taking taylor expansion of 1/2 in im 0.437 * [backup-simplify]: Simplify 1/2 into 1/2 0.437 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.437 * [taylor]: Taking taylor expansion of im in im 0.437 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify 1 into 1 0.438 * [backup-simplify]: Simplify (/ 1 1) into 1 0.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.439 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.441 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.441 * [backup-simplify]: Simplify (+ 0 0) into 0 0.441 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.442 * [backup-simplify]: Simplify (- 0) into 0 0.442 * [backup-simplify]: Simplify (+ 0 0) into 0 0.442 * [taylor]: Taking taylor expansion of 0 in im 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.444 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.444 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 0.445 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 0.445 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.445 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.445 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.445 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.445 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.445 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.445 * [taylor]: Taking taylor expansion of im in im 0.445 * [backup-simplify]: Simplify 0 into 0 0.445 * [backup-simplify]: Simplify 1 into 1 0.445 * [backup-simplify]: Simplify (* 1 1) into 1 0.446 * [backup-simplify]: Simplify (/ 1 1) into 1 0.446 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.446 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.446 * [taylor]: Taking taylor expansion of re in im 0.446 * [backup-simplify]: Simplify re into re 0.446 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.446 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.446 * [backup-simplify]: Simplify (+ 1 0) into 1 0.447 * [backup-simplify]: Simplify (sqrt 1) into 1 0.447 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.449 * [backup-simplify]: Simplify (+ 0 0) into 0 0.449 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.449 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.449 * [taylor]: Taking taylor expansion of re in im 0.449 * [backup-simplify]: Simplify re into re 0.449 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.449 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.449 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.450 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.450 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.450 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.450 * [taylor]: Taking taylor expansion of im in re 0.450 * [backup-simplify]: Simplify im into im 0.450 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.450 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.450 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.450 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.450 * [taylor]: Taking taylor expansion of re in re 0.450 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify 1 into 1 0.450 * [backup-simplify]: Simplify (* 1 1) into 1 0.451 * [backup-simplify]: Simplify (/ 1 1) into 1 0.451 * [backup-simplify]: Simplify (+ 0 1) into 1 0.452 * [backup-simplify]: Simplify (sqrt 1) into 1 0.452 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.453 * [backup-simplify]: Simplify (+ 0 0) into 0 0.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.454 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.454 * [taylor]: Taking taylor expansion of re in re 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 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.454 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.455 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.455 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.455 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.455 * [taylor]: Taking taylor expansion of im in re 0.455 * [backup-simplify]: Simplify im into im 0.455 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.455 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.455 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.455 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.455 * [taylor]: Taking taylor expansion of re in re 0.455 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify 1 into 1 0.455 * [backup-simplify]: Simplify (* 1 1) into 1 0.456 * [backup-simplify]: Simplify (/ 1 1) into 1 0.456 * [backup-simplify]: Simplify (+ 0 1) into 1 0.457 * [backup-simplify]: Simplify (sqrt 1) into 1 0.457 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.458 * [backup-simplify]: Simplify (+ 0 0) into 0 0.459 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.459 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.459 * [taylor]: Taking taylor expansion of re in re 0.459 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify 1 into 1 0.459 * [backup-simplify]: Simplify (/ 1 1) into 1 0.460 * [backup-simplify]: Simplify (- 1) into -1 0.461 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.461 * [taylor]: Taking taylor expansion of 0 in im 0.461 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.462 * [backup-simplify]: Simplify (- 0) into 0 0.462 * [backup-simplify]: Simplify (+ 0 0) into 0 0.462 * [taylor]: Taking taylor expansion of 0 in im 0.462 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.464 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) 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)) 0.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.467 * [backup-simplify]: Simplify (- 0) into 0 0.467 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.467 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.467 * [taylor]: Taking taylor expansion of 1/2 in im 0.467 * [backup-simplify]: Simplify 1/2 into 1/2 0.467 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.467 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.467 * [taylor]: Taking taylor expansion of im in im 0.467 * [backup-simplify]: Simplify 0 into 0 0.467 * [backup-simplify]: Simplify 1 into 1 0.468 * [backup-simplify]: Simplify (* 1 1) into 1 0.468 * [backup-simplify]: Simplify (/ 1 1) into 1 0.469 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.470 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.471 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.473 * [backup-simplify]: Simplify (+ 0 0) into 0 0.474 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.475 * [backup-simplify]: Simplify (- 0) into 0 0.476 * [backup-simplify]: Simplify (+ 0 0) into 0 0.476 * [taylor]: Taking taylor expansion of 0 in im 0.476 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.478 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.478 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 0.479 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.479 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.479 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.479 * [taylor]: Taking taylor expansion of re in im 0.479 * [backup-simplify]: Simplify re into re 0.479 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.479 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.479 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.479 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.479 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.479 * [taylor]: Taking taylor expansion of im in im 0.479 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify 1 into 1 0.480 * [backup-simplify]: Simplify (* 1 1) into 1 0.480 * [backup-simplify]: Simplify (/ 1 1) into 1 0.480 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.480 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.480 * [taylor]: Taking taylor expansion of re in im 0.480 * [backup-simplify]: Simplify re into re 0.480 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.481 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.481 * [backup-simplify]: Simplify (+ 1 0) into 1 0.481 * [backup-simplify]: Simplify (sqrt 1) into 1 0.482 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.483 * [backup-simplify]: Simplify (+ 0 0) into 0 0.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.484 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.484 * [taylor]: Taking taylor expansion of (/ 1 re) 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 (/ 1 1) into 1 0.484 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.484 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.484 * [taylor]: Taking taylor expansion of (/ 1 (pow im 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 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.485 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.485 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.485 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.485 * [taylor]: Taking taylor expansion of re in re 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify 1 into 1 0.485 * [backup-simplify]: Simplify (* 1 1) into 1 0.485 * [backup-simplify]: Simplify (/ 1 1) into 1 0.486 * [backup-simplify]: Simplify (+ 0 1) into 1 0.486 * [backup-simplify]: Simplify (sqrt 1) into 1 0.487 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.488 * [backup-simplify]: Simplify (+ 0 0) into 0 0.488 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.489 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.489 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.489 * [taylor]: Taking taylor expansion of re in re 0.489 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify 1 into 1 0.489 * [backup-simplify]: Simplify (/ 1 1) into 1 0.489 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.489 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.489 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.489 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.489 * [taylor]: Taking taylor expansion of im in re 0.489 * [backup-simplify]: Simplify im into im 0.489 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.490 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.490 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.490 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.490 * [taylor]: Taking taylor expansion of re in re 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify 1 into 1 0.490 * [backup-simplify]: Simplify (* 1 1) into 1 0.491 * [backup-simplify]: Simplify (/ 1 1) into 1 0.491 * [backup-simplify]: Simplify (+ 0 1) into 1 0.491 * [backup-simplify]: Simplify (sqrt 1) into 1 0.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.493 * [backup-simplify]: Simplify (+ 0 0) into 0 0.494 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.494 * [backup-simplify]: Simplify (+ 1 1) into 2 0.494 * [taylor]: Taking taylor expansion of 2 in im 0.494 * [backup-simplify]: Simplify 2 into 2 0.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.495 * [backup-simplify]: Simplify (+ 0 0) into 0 0.495 * [taylor]: Taking taylor expansion of 0 in im 0.495 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify 2 into 2 0.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.498 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.500 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.500 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.500 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.500 * [taylor]: Taking taylor expansion of 1/2 in im 0.500 * [backup-simplify]: Simplify 1/2 into 1/2 0.500 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.500 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.500 * [taylor]: Taking taylor expansion of im in im 0.500 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify 1 into 1 0.501 * [backup-simplify]: Simplify (* 1 1) into 1 0.501 * [backup-simplify]: Simplify (/ 1 1) into 1 0.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.503 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.504 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.505 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.507 * [backup-simplify]: Simplify (+ 0 0) into 0 0.507 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.508 * [backup-simplify]: Simplify (+ 0 0) into 0 0.508 * [taylor]: Taking taylor expansion of 0 in im 0.508 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.510 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.510 * [backup-simplify]: Simplify 0 into 0 0.510 * [backup-simplify]: Simplify 0 into 0 0.510 * [backup-simplify]: Simplify 0 into 0 0.511 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 0.511 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1) 0.511 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2)) 0.511 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.511 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.511 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.511 * [taylor]: Taking taylor expansion of re in im 0.511 * [backup-simplify]: Simplify re into re 0.511 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.511 * [taylor]: Taking taylor expansion of im in im 0.511 * [backup-simplify]: Simplify 0 into 0 0.511 * [backup-simplify]: Simplify 1 into 1 0.511 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.511 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.511 * [taylor]: Taking taylor expansion of re in re 0.511 * [backup-simplify]: Simplify 0 into 0 0.511 * [backup-simplify]: Simplify 1 into 1 0.511 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.511 * [taylor]: Taking taylor expansion of im in re 0.511 * [backup-simplify]: Simplify im into im 0.511 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.511 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.511 * [taylor]: Taking taylor expansion of re in re 0.511 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify 1 into 1 0.512 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.512 * [taylor]: Taking taylor expansion of im in re 0.512 * [backup-simplify]: Simplify im into im 0.512 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.512 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.512 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.512 * [taylor]: Taking taylor expansion of im in im 0.512 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify 1 into 1 0.512 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.512 * [backup-simplify]: Simplify (+ 0 0) into 0 0.513 * [taylor]: Taking taylor expansion of 0 in im 0.513 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify (* 1 1) into 1 0.513 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.514 * [backup-simplify]: Simplify (+ 1 0) into 1 0.514 * [taylor]: Taking taylor expansion of 1 in im 0.514 * [backup-simplify]: Simplify 1 into 1 0.514 * [backup-simplify]: Simplify 1 into 1 0.514 * [backup-simplify]: Simplify 0 into 0 0.514 * [backup-simplify]: Simplify (* 1 1) into 1 0.514 * [backup-simplify]: Simplify 1 into 1 0.515 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.516 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.516 * [backup-simplify]: Simplify (+ 0 0) into 0 0.516 * [taylor]: Taking taylor expansion of 0 in im 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify 0 into 0 0.517 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.517 * [backup-simplify]: Simplify 0 into 0 0.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.519 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 0.519 * [backup-simplify]: Simplify (+ 0 0) into 0 0.519 * [taylor]: Taking taylor expansion of 0 in im 0.519 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2)) 0.520 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 0.520 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.520 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.520 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.520 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.520 * [taylor]: Taking taylor expansion of im in im 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify 1 into 1 0.520 * [backup-simplify]: Simplify (* 1 1) into 1 0.521 * [backup-simplify]: Simplify (/ 1 1) into 1 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)) (/ 1 (pow re 2))) in re 0.521 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.521 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.521 * [taylor]: Taking taylor expansion of im in re 0.521 * [backup-simplify]: Simplify im into im 0.521 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.521 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.522 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.522 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.522 * [taylor]: Taking taylor expansion of re in re 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [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 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.522 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.522 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.522 * [taylor]: Taking taylor expansion of im in re 0.522 * [backup-simplify]: Simplify im into im 0.523 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.523 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.523 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.523 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.523 * [taylor]: Taking taylor expansion of re in re 0.523 * [backup-simplify]: Simplify 0 into 0 0.523 * [backup-simplify]: Simplify 1 into 1 0.523 * [backup-simplify]: Simplify (* 1 1) into 1 0.524 * [backup-simplify]: Simplify (/ 1 1) into 1 0.524 * [backup-simplify]: Simplify (+ 0 1) into 1 0.524 * [taylor]: Taking taylor expansion of 1 in im 0.524 * [backup-simplify]: Simplify 1 into 1 0.525 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.526 * [backup-simplify]: Simplify (+ 0 0) into 0 0.526 * [taylor]: Taking taylor expansion of 0 in im 0.526 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.528 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.528 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.528 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.528 * [taylor]: Taking taylor expansion of im in im 0.528 * [backup-simplify]: Simplify 0 into 0 0.528 * [backup-simplify]: Simplify 1 into 1 0.528 * [backup-simplify]: Simplify (* 1 1) into 1 0.529 * [backup-simplify]: Simplify (/ 1 1) into 1 0.529 * [backup-simplify]: Simplify 1 into 1 0.529 * [backup-simplify]: Simplify 1 into 1 0.529 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.529 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.531 * [backup-simplify]: Simplify (+ 0 0) into 0 0.531 * [taylor]: Taking taylor expansion of 0 in im 0.531 * [backup-simplify]: Simplify 0 into 0 0.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.533 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.534 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.536 * [backup-simplify]: Simplify (+ 0 0) into 0 0.536 * [taylor]: Taking taylor expansion of 0 in im 0.536 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.538 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2)) 0.539 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 0.539 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.539 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.540 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.540 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.540 * [taylor]: Taking taylor expansion of im in im 0.540 * [backup-simplify]: Simplify 0 into 0 0.540 * [backup-simplify]: Simplify 1 into 1 0.540 * [backup-simplify]: Simplify (* 1 1) into 1 0.541 * [backup-simplify]: Simplify (/ 1 1) into 1 0.541 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.541 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.541 * [taylor]: Taking taylor expansion of re in im 0.541 * [backup-simplify]: Simplify re into re 0.541 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.541 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.541 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.541 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.541 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.541 * [taylor]: Taking taylor expansion of im in re 0.541 * [backup-simplify]: Simplify im into im 0.541 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.541 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 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 0.542 * [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)) (/ 1 (pow re 2))) in re 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 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.543 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.543 * [taylor]: Taking taylor expansion of re in re 0.543 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify 1 into 1 0.543 * [backup-simplify]: Simplify (* 1 1) into 1 0.543 * [backup-simplify]: Simplify (/ 1 1) into 1 0.544 * [backup-simplify]: Simplify (+ 0 1) into 1 0.544 * [taylor]: Taking taylor expansion of 1 in im 0.544 * [backup-simplify]: Simplify 1 into 1 0.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.545 * [backup-simplify]: Simplify (+ 0 0) into 0 0.545 * [taylor]: Taking taylor expansion of 0 in im 0.545 * [backup-simplify]: Simplify 0 into 0 0.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.547 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.547 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.547 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.547 * [taylor]: Taking taylor expansion of im in im 0.548 * [backup-simplify]: Simplify 0 into 0 0.548 * [backup-simplify]: Simplify 1 into 1 0.548 * [backup-simplify]: Simplify (* 1 1) into 1 0.548 * [backup-simplify]: Simplify (/ 1 1) into 1 0.548 * [backup-simplify]: Simplify 1 into 1 0.548 * [backup-simplify]: Simplify 1 into 1 0.548 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.549 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.555 * [backup-simplify]: Simplify (+ 0 0) into 0 0.555 * [taylor]: Taking taylor expansion of 0 in im 0.555 * [backup-simplify]: Simplify 0 into 0 0.556 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.557 * [backup-simplify]: Simplify 0 into 0 0.557 * [backup-simplify]: Simplify 0 into 0 0.557 * [backup-simplify]: Simplify 0 into 0 0.557 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.558 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.561 * [backup-simplify]: Simplify (+ 0 0) into 0 0.561 * [taylor]: Taking taylor expansion of 0 in im 0.561 * [backup-simplify]: Simplify 0 into 0 0.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.563 * [backup-simplify]: Simplify 0 into 0 0.563 * [backup-simplify]: Simplify 0 into 0 0.563 * [backup-simplify]: Simplify 0 into 0 0.563 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2)) 0.563 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.564 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) 0.564 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in (re im) around 0 0.564 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) 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 (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 0.565 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.565 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.565 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.565 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.565 * [taylor]: Taking taylor expansion of re in im 0.566 * [backup-simplify]: Simplify re into re 0.566 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.566 * [taylor]: Taking taylor expansion of im in im 0.566 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify 1 into 1 0.566 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.566 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.566 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.566 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.566 * [backup-simplify]: Simplify (+ 0 0) into 0 0.567 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.567 * [taylor]: Taking taylor expansion of re in im 0.567 * [backup-simplify]: Simplify re into re 0.567 * [backup-simplify]: Simplify (- re) into (- re) 0.567 * [backup-simplify]: Simplify (+ re (- re)) into 0 0.567 * [backup-simplify]: Simplify (- 0) into 0 0.568 * [backup-simplify]: Simplify (+ 0 0) into 0 0.568 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 0.568 * [backup-simplify]: Simplify (* 1 1) into 1 0.569 * [backup-simplify]: Simplify (+ 0 1) into 1 0.570 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 0.570 * [backup-simplify]: Simplify (- 0) into 0 0.570 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 0.570 * [backup-simplify]: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 0.571 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 0.572 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.572 * [backup-simplify]: Simplify (+ 0 0) into 0 0.572 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 0.572 * [backup-simplify]: Simplify (- 0) into 0 0.573 * [backup-simplify]: Simplify (+ 0 0) into 0 0.573 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0 0.573 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.573 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.573 * [taylor]: Taking taylor expansion of 2.0 in re 0.573 * [backup-simplify]: Simplify 2.0 into 2.0 0.573 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.574 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.574 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.574 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.574 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.574 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.574 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.574 * [taylor]: Taking taylor expansion of re in re 0.574 * [backup-simplify]: Simplify 0 into 0 0.574 * [backup-simplify]: Simplify 1 into 1 0.574 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.575 * [taylor]: Taking taylor expansion of im in re 0.575 * [backup-simplify]: Simplify im into im 0.575 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.575 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.575 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.575 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.575 * [backup-simplify]: Simplify (+ 0 0) into 0 0.576 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.576 * [taylor]: Taking taylor expansion of re in re 0.576 * [backup-simplify]: Simplify 0 into 0 0.576 * [backup-simplify]: Simplify 1 into 1 0.576 * [backup-simplify]: Simplify (- 0) into 0 0.576 * [backup-simplify]: Simplify (+ im 0) into im 0.576 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.577 * [backup-simplify]: Simplify (- 1) into -1 0.577 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.577 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 0.577 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.577 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.577 * [taylor]: Taking taylor expansion of 2.0 in re 0.577 * [backup-simplify]: Simplify 2.0 into 2.0 0.578 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.578 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.578 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.578 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.578 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.578 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.578 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.579 * [taylor]: Taking taylor expansion of re in re 0.579 * [backup-simplify]: Simplify 0 into 0 0.579 * [backup-simplify]: Simplify 1 into 1 0.579 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.579 * [taylor]: Taking taylor expansion of im in re 0.579 * [backup-simplify]: Simplify im into im 0.579 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.579 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.579 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.579 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.580 * [backup-simplify]: Simplify (+ 0 0) into 0 0.580 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.580 * [taylor]: Taking taylor expansion of re in re 0.580 * [backup-simplify]: Simplify 0 into 0 0.580 * [backup-simplify]: Simplify 1 into 1 0.580 * [backup-simplify]: Simplify (- 0) into 0 0.580 * [backup-simplify]: Simplify (+ im 0) into im 0.580 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.581 * [backup-simplify]: Simplify (- 1) into -1 0.581 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.581 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 0.582 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 0.582 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.582 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.582 * [taylor]: Taking taylor expansion of 2.0 in im 0.582 * [backup-simplify]: Simplify 2.0 into 2.0 0.582 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.583 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.583 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.583 * [taylor]: Taking taylor expansion of im in im 0.583 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify 1 into 1 0.584 * [backup-simplify]: Simplify (sqrt 0) into 0 0.585 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.587 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.588 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.589 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* -1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) 0.589 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 0.589 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.589 * [taylor]: Taking taylor expansion of 1/2 in im 0.589 * [backup-simplify]: Simplify 1/2 into 1/2 0.589 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.589 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.589 * [taylor]: Taking taylor expansion of 2.0 in im 0.589 * [backup-simplify]: Simplify 2.0 into 2.0 0.590 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.591 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.591 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.591 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.591 * [taylor]: Taking taylor expansion of im in im 0.591 * [backup-simplify]: Simplify 0 into 0 0.591 * [backup-simplify]: Simplify 1 into 1 0.591 * [backup-simplify]: Simplify (/ 1 1) into 1 0.591 * [backup-simplify]: Simplify (sqrt 0) into 0 0.593 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.596 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.597 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.600 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.602 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.602 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.607 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.610 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.611 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.615 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.616 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.619 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.620 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.626 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* im 1) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im re)) (* (- (* +nan.0 (sqrt 2.0))) (* im 1)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) (* im re)))))))) 0.627 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) 0.627 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in (re im) around 0 0.627 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.627 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.627 * [taylor]: Taking taylor expansion of 2.0 in im 0.627 * [backup-simplify]: Simplify 2.0 into 2.0 0.627 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.628 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.628 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.628 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.628 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.628 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.628 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.628 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.628 * [taylor]: Taking taylor expansion of im in im 0.628 * [backup-simplify]: Simplify 0 into 0 0.628 * [backup-simplify]: Simplify 1 into 1 0.629 * [backup-simplify]: Simplify (* 1 1) into 1 0.629 * [backup-simplify]: Simplify (/ 1 1) into 1 0.629 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.629 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.629 * [taylor]: Taking taylor expansion of re in im 0.629 * [backup-simplify]: Simplify re into re 0.629 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.629 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.630 * [backup-simplify]: Simplify (+ 1 0) into 1 0.630 * [backup-simplify]: Simplify (sqrt 1) into 1 0.631 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.632 * [backup-simplify]: Simplify (+ 0 0) into 0 0.633 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.633 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.633 * [taylor]: Taking taylor expansion of re in im 0.633 * [backup-simplify]: Simplify re into re 0.633 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.633 * [backup-simplify]: Simplify (+ 1 0) into 1 0.633 * [backup-simplify]: Simplify (sqrt 0) into 0 0.635 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.635 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.635 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.635 * [taylor]: Taking taylor expansion of 2.0 in re 0.635 * [backup-simplify]: Simplify 2.0 into 2.0 0.635 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.636 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.636 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.636 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.636 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.636 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.636 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.636 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.636 * [taylor]: Taking taylor expansion of im in re 0.636 * [backup-simplify]: Simplify im into im 0.637 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.637 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.637 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.637 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.637 * [taylor]: Taking taylor expansion of re in re 0.637 * [backup-simplify]: Simplify 0 into 0 0.637 * [backup-simplify]: Simplify 1 into 1 0.637 * [backup-simplify]: Simplify (* 1 1) into 1 0.638 * [backup-simplify]: Simplify (/ 1 1) into 1 0.638 * [backup-simplify]: Simplify (+ 0 1) into 1 0.638 * [backup-simplify]: Simplify (sqrt 1) into 1 0.639 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.640 * [backup-simplify]: Simplify (+ 0 0) into 0 0.641 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.641 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.641 * [taylor]: Taking taylor expansion of re in re 0.641 * [backup-simplify]: Simplify 0 into 0 0.641 * [backup-simplify]: Simplify 1 into 1 0.642 * [backup-simplify]: Simplify (/ 1 1) into 1 0.642 * [backup-simplify]: Simplify (- 1) into -1 0.642 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.643 * [backup-simplify]: Simplify (- 0) into 0 0.644 * [backup-simplify]: Simplify (+ 0 0) into 0 0.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.646 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.647 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.648 * [backup-simplify]: Simplify (- 0) into 0 0.649 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.649 * [backup-simplify]: Simplify (sqrt 0) into 0 0.650 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.650 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.650 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.650 * [taylor]: Taking taylor expansion of 2.0 in re 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 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.651 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.651 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.651 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.651 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.651 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.651 * [taylor]: Taking taylor expansion of im in re 0.651 * [backup-simplify]: Simplify im into im 0.651 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.652 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.652 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.652 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.652 * [taylor]: Taking taylor expansion of re in re 0.652 * [backup-simplify]: Simplify 0 into 0 0.652 * [backup-simplify]: Simplify 1 into 1 0.652 * [backup-simplify]: Simplify (* 1 1) into 1 0.653 * [backup-simplify]: Simplify (/ 1 1) into 1 0.653 * [backup-simplify]: Simplify (+ 0 1) into 1 0.653 * [backup-simplify]: Simplify (sqrt 1) into 1 0.654 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.655 * [backup-simplify]: Simplify (+ 0 0) into 0 0.656 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.656 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.656 * [taylor]: Taking taylor expansion of re in re 0.656 * [backup-simplify]: Simplify 0 into 0 0.656 * [backup-simplify]: Simplify 1 into 1 0.657 * [backup-simplify]: Simplify (/ 1 1) into 1 0.657 * [backup-simplify]: Simplify (- 1) into -1 0.657 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.658 * [backup-simplify]: Simplify (- 0) into 0 0.659 * [backup-simplify]: Simplify (+ 0 0) into 0 0.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.661 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.662 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.664 * [backup-simplify]: Simplify (- 0) into 0 0.664 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.664 * [backup-simplify]: Simplify (sqrt 0) into 0 0.665 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.666 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.666 * [taylor]: Taking taylor expansion of 0 in im 0.666 * [backup-simplify]: Simplify 0 into 0 0.667 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 0.667 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.667 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.667 * [taylor]: Taking taylor expansion of +nan.0 in im 0.667 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.667 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.667 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.667 * [taylor]: Taking taylor expansion of 2.0 in im 0.667 * [backup-simplify]: Simplify 2.0 into 2.0 0.668 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.668 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.668 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.669 * [taylor]: Taking taylor expansion of im in im 0.669 * [backup-simplify]: Simplify 0 into 0 0.669 * [backup-simplify]: Simplify 1 into 1 0.669 * [backup-simplify]: Simplify (* 1 1) into 1 0.670 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.670 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.672 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.673 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.673 * [backup-simplify]: Simplify (- 0) into 0 0.673 * [backup-simplify]: Simplify 0 into 0 0.673 * [backup-simplify]: Simplify 0 into 0 0.673 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.674 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.677 * [backup-simplify]: Simplify (+ 0 0) into 0 0.677 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.679 * [backup-simplify]: Simplify (- 0) into 0 0.679 * [backup-simplify]: Simplify (+ 0 0) into 0 0.680 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 0.681 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.682 * [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)))) 0.682 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.682 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.682 * [taylor]: Taking taylor expansion of +nan.0 in im 0.682 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.683 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.683 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.683 * [taylor]: Taking taylor expansion of 2.0 in im 0.683 * [backup-simplify]: Simplify 2.0 into 2.0 0.683 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.684 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.684 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.684 * [taylor]: Taking taylor expansion of im in im 0.684 * [backup-simplify]: Simplify 0 into 0 0.684 * [backup-simplify]: Simplify 1 into 1 0.684 * [backup-simplify]: Simplify (* 1 1) into 1 0.685 * [backup-simplify]: Simplify (* 1 1) into 1 0.686 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.687 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.688 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.689 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.690 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.692 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.693 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.695 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.697 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.698 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.698 * [backup-simplify]: Simplify (- 0) into 0 0.698 * [backup-simplify]: Simplify 0 into 0 0.699 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.701 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.706 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.707 * [backup-simplify]: Simplify (- 0) into 0 0.707 * [backup-simplify]: Simplify 0 into 0 0.707 * [backup-simplify]: Simplify 0 into 0 0.708 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.708 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.711 * [backup-simplify]: Simplify (+ 0 0) into 0 0.712 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 0.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.713 * [backup-simplify]: Simplify (- 0) into 0 0.714 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 0.715 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6)))))) 0.716 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.718 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))) (+ (* 0 (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) 0.718 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.718 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.718 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.718 * [taylor]: Taking taylor expansion of +nan.0 in im 0.718 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.718 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.718 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.718 * [taylor]: Taking taylor expansion of 2.0 in im 0.718 * [backup-simplify]: Simplify 2.0 into 2.0 0.718 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.719 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.719 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.719 * [taylor]: Taking taylor expansion of im in im 0.719 * [backup-simplify]: Simplify 0 into 0 0.719 * [backup-simplify]: Simplify 1 into 1 0.720 * [backup-simplify]: Simplify (* 1 1) into 1 0.720 * [backup-simplify]: Simplify (* 1 1) into 1 0.721 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.721 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.721 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.721 * [taylor]: Taking taylor expansion of +nan.0 in im 0.721 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.721 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.721 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.721 * [taylor]: Taking taylor expansion of 2.0 in im 0.721 * [backup-simplify]: Simplify 2.0 into 2.0 0.722 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.722 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.722 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.723 * [taylor]: Taking taylor expansion of im in im 0.723 * [backup-simplify]: Simplify 0 into 0 0.723 * [backup-simplify]: Simplify 1 into 1 0.723 * [backup-simplify]: Simplify (* 1 1) into 1 0.723 * [backup-simplify]: Simplify (* 1 1) into 1 0.724 * [backup-simplify]: Simplify (* 1 1) into 1 0.725 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.726 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.727 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.728 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.731 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.732 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.734 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.735 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.737 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.738 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.739 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.741 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.742 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.747 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.749 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.751 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.752 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.754 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.754 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.756 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.756 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.757 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.758 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 0.758 * [backup-simplify]: Simplify (- 0) into 0 0.759 * [backup-simplify]: Simplify (+ 0 0) into 0 0.759 * [backup-simplify]: Simplify (- 0) into 0 0.759 * [backup-simplify]: Simplify 0 into 0 0.759 * [backup-simplify]: Simplify 0 into 0 0.759 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) 0.759 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in (re im) around 0 0.759 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.759 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.759 * [taylor]: Taking taylor expansion of 2.0 in im 0.759 * [backup-simplify]: Simplify 2.0 into 2.0 0.760 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.760 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.760 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.760 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.760 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.760 * [taylor]: Taking taylor expansion of re in im 0.760 * [backup-simplify]: Simplify re into re 0.760 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.760 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.760 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.760 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.760 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.760 * [taylor]: Taking taylor expansion of im in im 0.760 * [backup-simplify]: Simplify 0 into 0 0.760 * [backup-simplify]: Simplify 1 into 1 0.760 * [backup-simplify]: Simplify (* 1 1) into 1 0.761 * [backup-simplify]: Simplify (/ 1 1) into 1 0.761 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.761 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.761 * [taylor]: Taking taylor expansion of re in im 0.761 * [backup-simplify]: Simplify re into re 0.761 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.761 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.761 * [backup-simplify]: Simplify (+ 1 0) into 1 0.762 * [backup-simplify]: Simplify (sqrt 1) into 1 0.762 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.763 * [backup-simplify]: Simplify (+ 0 0) into 0 0.763 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.763 * [backup-simplify]: Simplify (+ 0 1) into 1 0.764 * [backup-simplify]: Simplify (sqrt 0) into 0 0.764 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.764 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.764 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.764 * [taylor]: Taking taylor expansion of 2.0 in re 0.765 * [backup-simplify]: Simplify 2.0 into 2.0 0.765 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.765 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.765 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.765 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.765 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.765 * [taylor]: Taking taylor expansion of re in re 0.765 * [backup-simplify]: Simplify 0 into 0 0.765 * [backup-simplify]: Simplify 1 into 1 0.766 * [backup-simplify]: Simplify (/ 1 1) into 1 0.766 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.766 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.766 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.766 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.766 * [taylor]: Taking taylor expansion of im in re 0.766 * [backup-simplify]: Simplify im into im 0.766 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.766 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.766 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.766 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.766 * [taylor]: Taking taylor expansion of re in re 0.766 * [backup-simplify]: Simplify 0 into 0 0.766 * [backup-simplify]: Simplify 1 into 1 0.766 * [backup-simplify]: Simplify (* 1 1) into 1 0.766 * [backup-simplify]: Simplify (/ 1 1) into 1 0.767 * [backup-simplify]: Simplify (+ 0 1) into 1 0.767 * [backup-simplify]: Simplify (sqrt 1) into 1 0.768 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.768 * [backup-simplify]: Simplify (+ 0 0) into 0 0.769 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.769 * [backup-simplify]: Simplify (+ 1 1) into 2 0.769 * [backup-simplify]: Simplify (sqrt 0) into 0 0.770 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.770 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.770 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.770 * [taylor]: Taking taylor expansion of 2.0 in re 0.770 * [backup-simplify]: Simplify 2.0 into 2.0 0.770 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.771 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.771 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.771 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.771 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.771 * [taylor]: Taking taylor expansion of re in re 0.771 * [backup-simplify]: Simplify 0 into 0 0.771 * [backup-simplify]: Simplify 1 into 1 0.771 * [backup-simplify]: Simplify (/ 1 1) into 1 0.771 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.771 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.771 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.771 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.771 * [taylor]: Taking taylor expansion of im in re 0.771 * [backup-simplify]: Simplify im into im 0.771 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.771 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.771 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.771 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.771 * [taylor]: Taking taylor expansion of re in re 0.771 * [backup-simplify]: Simplify 0 into 0 0.771 * [backup-simplify]: Simplify 1 into 1 0.772 * [backup-simplify]: Simplify (* 1 1) into 1 0.772 * [backup-simplify]: Simplify (/ 1 1) into 1 0.772 * [backup-simplify]: Simplify (+ 0 1) into 1 0.772 * [backup-simplify]: Simplify (sqrt 1) into 1 0.773 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.773 * [backup-simplify]: Simplify (+ 0 0) into 0 0.774 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.774 * [backup-simplify]: Simplify (+ 1 1) into 2 0.774 * [backup-simplify]: Simplify (sqrt 0) into 0 0.775 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.775 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.775 * [taylor]: Taking taylor expansion of 0 in im 0.776 * [backup-simplify]: Simplify 0 into 0 0.777 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.777 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.777 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.777 * [taylor]: Taking taylor expansion of +nan.0 in im 0.777 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.777 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.777 * [taylor]: Taking taylor expansion of 2.0 in im 0.777 * [backup-simplify]: Simplify 2.0 into 2.0 0.777 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.778 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.778 * [backup-simplify]: Simplify 0 into 0 0.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.778 * [backup-simplify]: Simplify (+ 0 0) into 0 0.780 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.781 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.783 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.783 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.783 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.783 * [taylor]: Taking taylor expansion of +nan.0 in im 0.783 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.783 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.783 * [taylor]: Taking taylor expansion of 2.0 in im 0.783 * [backup-simplify]: Simplify 2.0 into 2.0 0.783 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.784 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.784 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.785 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.786 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.786 * [backup-simplify]: Simplify 0 into 0 0.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.789 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.791 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.791 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.793 * [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)) 0.795 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.796 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) 0.796 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.796 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.796 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.796 * [taylor]: Taking taylor expansion of +nan.0 in im 0.796 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.796 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.796 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.796 * [taylor]: Taking taylor expansion of 2.0 in im 0.796 * [backup-simplify]: Simplify 2.0 into 2.0 0.797 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.798 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.798 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.798 * [taylor]: Taking taylor expansion of im in im 0.798 * [backup-simplify]: Simplify 0 into 0 0.798 * [backup-simplify]: Simplify 1 into 1 0.798 * [backup-simplify]: Simplify (* 1 1) into 1 0.799 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.799 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.799 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.799 * [taylor]: Taking taylor expansion of +nan.0 in im 0.799 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.799 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.799 * [taylor]: Taking taylor expansion of 2.0 in im 0.799 * [backup-simplify]: Simplify 2.0 into 2.0 0.800 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.800 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.801 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.802 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.803 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.803 * [backup-simplify]: Simplify (+ 0 0) into 0 0.803 * [backup-simplify]: Simplify (- 0) into 0 0.804 * [backup-simplify]: Simplify 0 into 0 0.804 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.806 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.807 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.808 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.809 * [backup-simplify]: Simplify (- 0) into 0 0.809 * [backup-simplify]: Simplify 0 into 0 0.809 * [backup-simplify]: Simplify 0 into 0 0.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.810 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.810 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.812 * [backup-simplify]: Simplify (+ 0 0) into 0 0.813 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.813 * [backup-simplify]: Simplify (+ 0 0) into 0 0.815 * [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))) 0.816 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.818 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) 0.818 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.818 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.818 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.819 * [taylor]: Taking taylor expansion of +nan.0 in im 0.819 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.819 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.819 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.819 * [taylor]: Taking taylor expansion of 2.0 in im 0.819 * [backup-simplify]: Simplify 2.0 into 2.0 0.819 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.820 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.820 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.820 * [taylor]: Taking taylor expansion of im in im 0.820 * [backup-simplify]: Simplify 0 into 0 0.820 * [backup-simplify]: Simplify 1 into 1 0.820 * [backup-simplify]: Simplify (* 1 1) into 1 0.821 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.821 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.821 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.821 * [taylor]: Taking taylor expansion of +nan.0 in im 0.821 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.821 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.821 * [taylor]: Taking taylor expansion of 2.0 in im 0.821 * [backup-simplify]: Simplify 2.0 into 2.0 0.822 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.822 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.824 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.825 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.825 * [backup-simplify]: Simplify (+ 0 0) into 0 0.826 * [backup-simplify]: Simplify (- 0) into 0 0.826 * [backup-simplify]: Simplify 0 into 0 0.831 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.833 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.835 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.836 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.837 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.840 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.842 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.843 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.848 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 (- re))) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 (- re)))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0.849 * * * [progress]: simplifying candidates 0.851 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- re) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (- re) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) (log (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (* (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) im re (* -1 re) (- im re) 0 (* -2 re) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) (* im re)))))))) 0 (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0.854 * * [simplify]: Extracting # 0 : cost 0 0.854 * * [simplify]: Extracting # 1 : cost 0 0.854 * * [simplify]: Extracting # 2 : cost 0 0.855 * * [simplify]: Extracting # 3 : cost 0 0.855 * * [simplify]: Extracting # 4 : cost 0 0.855 * * [simplify]: Extracting # 5 : cost 0 0.855 * * [simplify]: Extracting # 6 : cost 0 0.856 * * [simplify]: Extracting # 7 : cost 0 0.856 * * [simplify]: Extracting # 8 : cost 0 0.856 * * [simplify]: Extracting # 9 : cost 0 0.857 * * [simplify]: Extracting # 10 : cost 0 0.857 * * [simplify]: Extracting # 11 : cost 0 0.857 * * [simplify]: iteration 0 : 114 enodes (cost 942 ) 0.902 * * [simplify]: Extracting # 0 : cost 0 0.902 * * [simplify]: Extracting # 1 : cost 0 0.903 * * [simplify]: Extracting # 2 : cost 0 0.903 * * [simplify]: Extracting # 3 : cost 0 0.904 * * [simplify]: Extracting # 4 : cost 0 0.904 * * [simplify]: iteration 1 : 255 enodes (cost 828 ) 1.072 * * [simplify]: Extracting # 0 : cost 0 1.073 * * [simplify]: Extracting # 1 : cost 0 1.075 * * [simplify]: Extracting # 2 : cost 0 1.076 * * [simplify]: Extracting # 3 : cost 0 1.078 * * [simplify]: Extracting # 4 : cost 0 1.079 * * [simplify]: iteration 2 : 709 enodes (cost 752 ) 1.530 * * [simplify]: Extracting # 0 : cost 0 1.532 * * [simplify]: Extracting # 1 : cost 0 1.534 * * [simplify]: Extracting # 2 : cost 0 1.537 * * [simplify]: Extracting # 3 : cost 0 1.539 * * [simplify]: Extracting # 4 : cost 0 1.541 * * [simplify]: iteration 3 : 2136 enodes (cost 727 ) 3.078 * * [simplify]: Extracting # 0 : cost 0 3.088 * * [simplify]: Extracting # 1 : cost 0 3.108 * * [simplify]: Extracting # 2 : cost 0 3.118 * * [simplify]: Extracting # 3 : cost 0 3.129 * * [simplify]: Extracting # 4 : cost 0 3.139 * * [simplify]: iteration done: 5000 enodes (cost 721 ) 3.140 * [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)))) (pow (sqrt (+ (* re re) (* im im))) 3) (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 (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (exp (- (sqrt (+ (* re re) (* im im))) 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)) (pow (- (sqrt (+ (* re re) (* im im))) re) 3) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* im im) (* re (+ (+ (sqrt (+ (* re re) (* im im))) re) re))) (- re) (* im im) (+ (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) (exp (+ (* re re) (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (pow (+ (* re re) (* im im)) 3) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow im 6) (pow re 6)) (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)) (- (pow re 4) (pow im 4)) (- (* re re) (* im im)) (log (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3) (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* im im) (* re (+ (+ (sqrt (+ (* re re) (* im im))) re) re)))) (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) im re (- re) (- im re) 0 (* -2 re) (+ (* re re) (* im im)) (+ (* re re) (* im im)) (+ (* re re) (* im im)) (* (* +nan.0 (sqrt 2.0)) (+ im (* (- im) (+ re im)))) 0 (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) 3.141 * * * [progress]: adding candidates to table 3.464 * * [progress]: iteration 2 / 4 3.464 * * * [progress]: picking best candidate 3.489 * * * * [pick]: Picked # 3.489 * * * [progress]: localizing error 3.526 * * * [progress]: generating rewritten candidates 3.526 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 1 1) 3.547 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 3.589 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1) 3.661 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1 1 1) 3.672 * * * [progress]: generating series expansions 3.672 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 1 1) 3.672 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 3.672 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 3.672 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 3.672 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.672 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.672 * [taylor]: Taking taylor expansion of re in im 3.672 * [backup-simplify]: Simplify re into re 3.672 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.672 * [taylor]: Taking taylor expansion of im in im 3.672 * [backup-simplify]: Simplify 0 into 0 3.672 * [backup-simplify]: Simplify 1 into 1 3.672 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.672 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 3.672 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.672 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.673 * [backup-simplify]: Simplify (+ 0 0) into 0 3.673 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.673 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.673 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.673 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.673 * [taylor]: Taking taylor expansion of re in re 3.673 * [backup-simplify]: Simplify 0 into 0 3.673 * [backup-simplify]: Simplify 1 into 1 3.673 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.673 * [taylor]: Taking taylor expansion of im in re 3.673 * [backup-simplify]: Simplify im into im 3.673 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.673 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.673 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.674 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.674 * [backup-simplify]: Simplify (+ 0 0) into 0 3.674 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.674 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.674 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.674 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.674 * [taylor]: Taking taylor expansion of re in re 3.674 * [backup-simplify]: Simplify 0 into 0 3.674 * [backup-simplify]: Simplify 1 into 1 3.674 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.674 * [taylor]: Taking taylor expansion of im in re 3.674 * [backup-simplify]: Simplify im into im 3.674 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.674 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.674 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.674 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.675 * [backup-simplify]: Simplify (+ 0 0) into 0 3.675 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.675 * [taylor]: Taking taylor expansion of im in im 3.675 * [backup-simplify]: Simplify 0 into 0 3.675 * [backup-simplify]: Simplify 1 into 1 3.675 * [backup-simplify]: Simplify 0 into 0 3.675 * [taylor]: Taking taylor expansion of 0 in im 3.675 * [backup-simplify]: Simplify 0 into 0 3.675 * [backup-simplify]: Simplify 0 into 0 3.675 * [backup-simplify]: Simplify 1 into 1 3.675 * [backup-simplify]: Simplify (* 1 1) into 1 3.676 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.676 * [backup-simplify]: Simplify (+ 1 0) into 1 3.676 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.676 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.676 * [taylor]: Taking taylor expansion of 1/2 in im 3.677 * [backup-simplify]: Simplify 1/2 into 1/2 3.677 * [taylor]: Taking taylor expansion of im in im 3.677 * [backup-simplify]: Simplify 0 into 0 3.677 * [backup-simplify]: Simplify 1 into 1 3.677 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.677 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.677 * [backup-simplify]: Simplify 0 into 0 3.677 * [backup-simplify]: Simplify 0 into 0 3.677 * [backup-simplify]: Simplify 0 into 0 3.678 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.678 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.679 * [backup-simplify]: Simplify (+ 0 0) into 0 3.679 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.679 * [taylor]: Taking taylor expansion of 0 in im 3.679 * [backup-simplify]: Simplify 0 into 0 3.679 * [backup-simplify]: Simplify 0 into 0 3.679 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.679 * [backup-simplify]: Simplify 0 into 0 3.679 * [backup-simplify]: Simplify 0 into 0 3.679 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 3.680 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 3.680 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.680 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.680 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.680 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.680 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.680 * [taylor]: Taking taylor expansion of im in im 3.680 * [backup-simplify]: Simplify 0 into 0 3.680 * [backup-simplify]: Simplify 1 into 1 3.680 * [backup-simplify]: Simplify (* 1 1) into 1 3.680 * [backup-simplify]: Simplify (/ 1 1) into 1 3.680 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.680 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.680 * [taylor]: Taking taylor expansion of re in im 3.680 * [backup-simplify]: Simplify re into re 3.680 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.681 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.681 * [backup-simplify]: Simplify (+ 1 0) into 1 3.681 * [backup-simplify]: Simplify (sqrt 1) into 1 3.682 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.682 * [backup-simplify]: Simplify (+ 0 0) into 0 3.683 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.683 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.683 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.683 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.683 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.683 * [taylor]: Taking taylor expansion of im in re 3.683 * [backup-simplify]: Simplify im into im 3.683 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.683 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.683 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.683 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.683 * [taylor]: Taking taylor expansion of re in re 3.683 * [backup-simplify]: Simplify 0 into 0 3.683 * [backup-simplify]: Simplify 1 into 1 3.683 * [backup-simplify]: Simplify (* 1 1) into 1 3.684 * [backup-simplify]: Simplify (/ 1 1) into 1 3.684 * [backup-simplify]: Simplify (+ 0 1) into 1 3.684 * [backup-simplify]: Simplify (sqrt 1) into 1 3.685 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.685 * [backup-simplify]: Simplify (+ 0 0) into 0 3.686 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.686 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.686 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.686 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.686 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.686 * [taylor]: Taking taylor expansion of im in re 3.686 * [backup-simplify]: Simplify im into im 3.686 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.686 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.686 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.686 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.686 * [taylor]: Taking taylor expansion of re in re 3.686 * [backup-simplify]: Simplify 0 into 0 3.686 * [backup-simplify]: Simplify 1 into 1 3.686 * [backup-simplify]: Simplify (* 1 1) into 1 3.687 * [backup-simplify]: Simplify (/ 1 1) into 1 3.687 * [backup-simplify]: Simplify (+ 0 1) into 1 3.687 * [backup-simplify]: Simplify (sqrt 1) into 1 3.687 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.688 * [backup-simplify]: Simplify (+ 0 0) into 0 3.689 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.689 * [taylor]: Taking taylor expansion of 1 in im 3.689 * [backup-simplify]: Simplify 1 into 1 3.689 * [taylor]: Taking taylor expansion of 0 in im 3.689 * [backup-simplify]: Simplify 0 into 0 3.689 * [backup-simplify]: Simplify 1 into 1 3.689 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.690 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.691 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.691 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.691 * [taylor]: Taking taylor expansion of 1/2 in im 3.691 * [backup-simplify]: Simplify 1/2 into 1/2 3.691 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.691 * [taylor]: Taking taylor expansion of im in im 3.691 * [backup-simplify]: Simplify 0 into 0 3.691 * [backup-simplify]: Simplify 1 into 1 3.691 * [backup-simplify]: Simplify (* 1 1) into 1 3.691 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.692 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.692 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.692 * [backup-simplify]: Simplify 0 into 0 3.692 * [backup-simplify]: Simplify 0 into 0 3.692 * [backup-simplify]: Simplify 0 into 0 3.692 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.693 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.694 * [backup-simplify]: Simplify (+ 0 0) into 0 3.694 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.695 * [taylor]: Taking taylor expansion of 0 in im 3.695 * [backup-simplify]: Simplify 0 into 0 3.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.696 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.696 * [backup-simplify]: Simplify 0 into 0 3.696 * [backup-simplify]: Simplify 0 into 0 3.696 * [backup-simplify]: Simplify 0 into 0 3.696 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 3.696 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 3.696 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.696 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.696 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.696 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.696 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.696 * [taylor]: Taking taylor expansion of im in im 3.696 * [backup-simplify]: Simplify 0 into 0 3.696 * [backup-simplify]: Simplify 1 into 1 3.696 * [backup-simplify]: Simplify (* 1 1) into 1 3.697 * [backup-simplify]: Simplify (/ 1 1) into 1 3.697 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.697 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.697 * [taylor]: Taking taylor expansion of re in im 3.697 * [backup-simplify]: Simplify re into re 3.697 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.697 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.697 * [backup-simplify]: Simplify (+ 1 0) into 1 3.697 * [backup-simplify]: Simplify (sqrt 1) into 1 3.698 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.698 * [backup-simplify]: Simplify (+ 0 0) into 0 3.699 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.699 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.699 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.699 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.699 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.699 * [taylor]: Taking taylor expansion of im in re 3.699 * [backup-simplify]: Simplify im into im 3.699 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.699 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.699 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.699 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.699 * [taylor]: Taking taylor expansion of re in re 3.699 * [backup-simplify]: Simplify 0 into 0 3.699 * [backup-simplify]: Simplify 1 into 1 3.699 * [backup-simplify]: Simplify (* 1 1) into 1 3.700 * [backup-simplify]: Simplify (/ 1 1) into 1 3.700 * [backup-simplify]: Simplify (+ 0 1) into 1 3.700 * [backup-simplify]: Simplify (sqrt 1) into 1 3.701 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.701 * [backup-simplify]: Simplify (+ 0 0) into 0 3.702 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.702 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.702 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.702 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.702 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.702 * [taylor]: Taking taylor expansion of im in re 3.702 * [backup-simplify]: Simplify im into im 3.702 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.702 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.702 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.702 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.702 * [taylor]: Taking taylor expansion of re in re 3.702 * [backup-simplify]: Simplify 0 into 0 3.702 * [backup-simplify]: Simplify 1 into 1 3.702 * [backup-simplify]: Simplify (* 1 1) into 1 3.703 * [backup-simplify]: Simplify (/ 1 1) into 1 3.703 * [backup-simplify]: Simplify (+ 0 1) into 1 3.703 * [backup-simplify]: Simplify (sqrt 1) into 1 3.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.704 * [backup-simplify]: Simplify (+ 0 0) into 0 3.705 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.705 * [taylor]: Taking taylor expansion of 1 in im 3.705 * [backup-simplify]: Simplify 1 into 1 3.705 * [taylor]: Taking taylor expansion of 0 in im 3.705 * [backup-simplify]: Simplify 0 into 0 3.705 * [backup-simplify]: Simplify 1 into 1 3.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.706 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.707 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.707 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.707 * [taylor]: Taking taylor expansion of 1/2 in im 3.707 * [backup-simplify]: Simplify 1/2 into 1/2 3.707 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.707 * [taylor]: Taking taylor expansion of im in im 3.707 * [backup-simplify]: Simplify 0 into 0 3.707 * [backup-simplify]: Simplify 1 into 1 3.707 * [backup-simplify]: Simplify (* 1 1) into 1 3.707 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.708 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.708 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.708 * [backup-simplify]: Simplify 0 into 0 3.708 * [backup-simplify]: Simplify 0 into 0 3.709 * [backup-simplify]: Simplify 0 into 0 3.709 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.709 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.710 * [backup-simplify]: Simplify (+ 0 0) into 0 3.711 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.711 * [taylor]: Taking taylor expansion of 0 in im 3.711 * [backup-simplify]: Simplify 0 into 0 3.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.712 * [backup-simplify]: Simplify 0 into 0 3.712 * [backup-simplify]: Simplify 0 into 0 3.712 * [backup-simplify]: Simplify 0 into 0 3.712 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 3.712 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 3.712 * [backup-simplify]: Simplify (exp (log (- (sqrt (+ (* re re) (* im im))) re))) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 3.712 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 3.712 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 3.712 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 3.712 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.712 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.712 * [taylor]: Taking taylor expansion of re in im 3.712 * [backup-simplify]: Simplify re into re 3.712 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.712 * [taylor]: Taking taylor expansion of im in im 3.712 * [backup-simplify]: Simplify 0 into 0 3.712 * [backup-simplify]: Simplify 1 into 1 3.713 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.713 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 3.713 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.713 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.713 * [backup-simplify]: Simplify (+ 0 0) into 0 3.713 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.713 * [taylor]: Taking taylor expansion of re in im 3.713 * [backup-simplify]: Simplify re into re 3.713 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 3.713 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.713 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.713 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.713 * [taylor]: Taking taylor expansion of re in re 3.713 * [backup-simplify]: Simplify 0 into 0 3.713 * [backup-simplify]: Simplify 1 into 1 3.713 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.713 * [taylor]: Taking taylor expansion of im in re 3.713 * [backup-simplify]: Simplify im into im 3.713 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.714 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.714 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.714 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.714 * [backup-simplify]: Simplify (+ 0 0) into 0 3.714 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.714 * [taylor]: Taking taylor expansion of re in re 3.714 * [backup-simplify]: Simplify 0 into 0 3.714 * [backup-simplify]: Simplify 1 into 1 3.714 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 3.714 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.715 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.715 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.715 * [taylor]: Taking taylor expansion of re in re 3.715 * [backup-simplify]: Simplify 0 into 0 3.715 * [backup-simplify]: Simplify 1 into 1 3.715 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.715 * [taylor]: Taking taylor expansion of im in re 3.715 * [backup-simplify]: Simplify im into im 3.715 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.715 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.715 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.715 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.716 * [backup-simplify]: Simplify (+ 0 0) into 0 3.716 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.716 * [taylor]: Taking taylor expansion of re in re 3.716 * [backup-simplify]: Simplify 0 into 0 3.716 * [backup-simplify]: Simplify 1 into 1 3.716 * [backup-simplify]: Simplify (- 0) into 0 3.717 * [backup-simplify]: Simplify (+ im 0) into im 3.717 * [taylor]: Taking taylor expansion of im in im 3.717 * [backup-simplify]: Simplify 0 into 0 3.717 * [backup-simplify]: Simplify 1 into 1 3.717 * [backup-simplify]: Simplify 0 into 0 3.717 * [backup-simplify]: Simplify (- 1) into -1 3.718 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.718 * [taylor]: Taking taylor expansion of -1 in im 3.718 * [backup-simplify]: Simplify -1 into -1 3.718 * [backup-simplify]: Simplify -1 into -1 3.718 * [backup-simplify]: Simplify 1 into 1 3.718 * [backup-simplify]: Simplify (* 1 1) into 1 3.719 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.719 * [backup-simplify]: Simplify (+ 1 0) into 1 3.720 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.721 * [backup-simplify]: Simplify (- 0) into 0 3.721 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 3.721 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 3.721 * [taylor]: Taking taylor expansion of 1/2 in im 3.721 * [backup-simplify]: Simplify 1/2 into 1/2 3.721 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.721 * [taylor]: Taking taylor expansion of im in im 3.721 * [backup-simplify]: Simplify 0 into 0 3.721 * [backup-simplify]: Simplify 1 into 1 3.721 * [backup-simplify]: Simplify (/ 1 1) into 1 3.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.723 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.723 * [backup-simplify]: Simplify 0 into 0 3.723 * [backup-simplify]: Simplify 0 into 0 3.723 * [backup-simplify]: Simplify 0 into 0 3.724 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.725 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.725 * [backup-simplify]: Simplify (+ 0 0) into 0 3.725 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.726 * [backup-simplify]: Simplify (- 0) into 0 3.726 * [backup-simplify]: Simplify (+ 0 0) into 0 3.726 * [taylor]: Taking taylor expansion of 0 in im 3.726 * [backup-simplify]: Simplify 0 into 0 3.726 * [backup-simplify]: Simplify 0 into 0 3.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.728 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.728 * [backup-simplify]: Simplify 0 into 0 3.728 * [backup-simplify]: Simplify 0 into 0 3.728 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 3.729 * [backup-simplify]: Simplify (exp (log (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 3.729 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 3.729 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 3.729 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.729 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.729 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.729 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.729 * [taylor]: Taking taylor expansion of im in im 3.729 * [backup-simplify]: Simplify 0 into 0 3.729 * [backup-simplify]: Simplify 1 into 1 3.730 * [backup-simplify]: Simplify (* 1 1) into 1 3.730 * [backup-simplify]: Simplify (/ 1 1) into 1 3.730 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.730 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.730 * [taylor]: Taking taylor expansion of re in im 3.730 * [backup-simplify]: Simplify re into re 3.730 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.731 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.731 * [backup-simplify]: Simplify (+ 1 0) into 1 3.732 * [backup-simplify]: Simplify (sqrt 1) into 1 3.732 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.733 * [backup-simplify]: Simplify (+ 0 0) into 0 3.735 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.735 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.735 * [taylor]: Taking taylor expansion of re in im 3.735 * [backup-simplify]: Simplify re into re 3.735 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.735 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 3.735 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.735 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.735 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.735 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.735 * [taylor]: Taking taylor expansion of im in re 3.735 * [backup-simplify]: Simplify im into im 3.735 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.736 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.736 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.736 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.736 * [taylor]: Taking taylor expansion of re in re 3.736 * [backup-simplify]: Simplify 0 into 0 3.736 * [backup-simplify]: Simplify 1 into 1 3.736 * [backup-simplify]: Simplify (* 1 1) into 1 3.737 * [backup-simplify]: Simplify (/ 1 1) into 1 3.737 * [backup-simplify]: Simplify (+ 0 1) into 1 3.737 * [backup-simplify]: Simplify (sqrt 1) into 1 3.738 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.739 * [backup-simplify]: Simplify (+ 0 0) into 0 3.740 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.740 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.740 * [taylor]: Taking taylor expansion of re in re 3.740 * [backup-simplify]: Simplify 0 into 0 3.740 * [backup-simplify]: Simplify 1 into 1 3.741 * [backup-simplify]: Simplify (/ 1 1) into 1 3.741 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 3.741 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.741 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.741 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.741 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.741 * [taylor]: Taking taylor expansion of im in re 3.741 * [backup-simplify]: Simplify im into im 3.741 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.741 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.741 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.741 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.741 * [taylor]: Taking taylor expansion of re in re 3.741 * [backup-simplify]: Simplify 0 into 0 3.741 * [backup-simplify]: Simplify 1 into 1 3.742 * [backup-simplify]: Simplify (* 1 1) into 1 3.742 * [backup-simplify]: Simplify (/ 1 1) into 1 3.743 * [backup-simplify]: Simplify (+ 0 1) into 1 3.743 * [backup-simplify]: Simplify (sqrt 1) into 1 3.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.745 * [backup-simplify]: Simplify (+ 0 0) into 0 3.746 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.746 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.746 * [taylor]: Taking taylor expansion of re in re 3.746 * [backup-simplify]: Simplify 0 into 0 3.746 * [backup-simplify]: Simplify 1 into 1 3.746 * [backup-simplify]: Simplify (/ 1 1) into 1 3.747 * [backup-simplify]: Simplify (- 1) into -1 3.747 * [backup-simplify]: Simplify (+ 1 -1) into 0 3.747 * [taylor]: Taking taylor expansion of 0 in im 3.747 * [backup-simplify]: Simplify 0 into 0 3.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.748 * [backup-simplify]: Simplify (- 0) into 0 3.749 * [backup-simplify]: Simplify (+ 0 0) into 0 3.749 * [taylor]: Taking taylor expansion of 0 in im 3.749 * [backup-simplify]: Simplify 0 into 0 3.749 * [backup-simplify]: Simplify 0 into 0 3.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.750 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.751 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.752 * [backup-simplify]: Simplify (- 0) into 0 3.752 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 3.752 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 3.752 * [taylor]: Taking taylor expansion of 1/2 in im 3.752 * [backup-simplify]: Simplify 1/2 into 1/2 3.752 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.752 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.752 * [taylor]: Taking taylor expansion of im in im 3.752 * [backup-simplify]: Simplify 0 into 0 3.752 * [backup-simplify]: Simplify 1 into 1 3.753 * [backup-simplify]: Simplify (* 1 1) into 1 3.753 * [backup-simplify]: Simplify (/ 1 1) into 1 3.753 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.754 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.754 * [backup-simplify]: Simplify 0 into 0 3.754 * [backup-simplify]: Simplify 0 into 0 3.754 * [backup-simplify]: Simplify 0 into 0 3.754 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.754 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.761 * [backup-simplify]: Simplify (+ 0 0) into 0 3.761 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.762 * [backup-simplify]: Simplify (- 0) into 0 3.762 * [backup-simplify]: Simplify (+ 0 0) into 0 3.762 * [taylor]: Taking taylor expansion of 0 in im 3.762 * [backup-simplify]: Simplify 0 into 0 3.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.764 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.764 * [backup-simplify]: Simplify 0 into 0 3.764 * [backup-simplify]: Simplify 0 into 0 3.764 * [backup-simplify]: Simplify 0 into 0 3.764 * [backup-simplify]: Simplify (exp (log (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 3.764 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 3.764 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 3.764 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.764 * [taylor]: Taking taylor expansion of re in im 3.764 * [backup-simplify]: Simplify re into re 3.764 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.764 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.765 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.765 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.765 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.765 * [taylor]: Taking taylor expansion of im in im 3.765 * [backup-simplify]: Simplify 0 into 0 3.765 * [backup-simplify]: Simplify 1 into 1 3.765 * [backup-simplify]: Simplify (* 1 1) into 1 3.765 * [backup-simplify]: Simplify (/ 1 1) into 1 3.765 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.765 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.765 * [taylor]: Taking taylor expansion of re in im 3.765 * [backup-simplify]: Simplify re into re 3.765 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.765 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.766 * [backup-simplify]: Simplify (+ 1 0) into 1 3.766 * [backup-simplify]: Simplify (sqrt 1) into 1 3.766 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.767 * [backup-simplify]: Simplify (+ 0 0) into 0 3.767 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.767 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 3.767 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.767 * [taylor]: Taking taylor expansion of re in re 3.767 * [backup-simplify]: Simplify 0 into 0 3.767 * [backup-simplify]: Simplify 1 into 1 3.768 * [backup-simplify]: Simplify (/ 1 1) into 1 3.768 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.768 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.768 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.768 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.768 * [taylor]: Taking taylor expansion of im in re 3.768 * [backup-simplify]: Simplify im into im 3.768 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.768 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.768 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.768 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.768 * [taylor]: Taking taylor expansion of re in re 3.768 * [backup-simplify]: Simplify 0 into 0 3.768 * [backup-simplify]: Simplify 1 into 1 3.768 * [backup-simplify]: Simplify (* 1 1) into 1 3.769 * [backup-simplify]: Simplify (/ 1 1) into 1 3.769 * [backup-simplify]: Simplify (+ 0 1) into 1 3.769 * [backup-simplify]: Simplify (sqrt 1) into 1 3.769 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.770 * [backup-simplify]: Simplify (+ 0 0) into 0 3.771 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.771 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 3.771 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.771 * [taylor]: Taking taylor expansion of re in re 3.771 * [backup-simplify]: Simplify 0 into 0 3.771 * [backup-simplify]: Simplify 1 into 1 3.771 * [backup-simplify]: Simplify (/ 1 1) into 1 3.771 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.771 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.771 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.771 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.771 * [taylor]: Taking taylor expansion of im in re 3.771 * [backup-simplify]: Simplify im into im 3.771 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.771 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.771 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.771 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.771 * [taylor]: Taking taylor expansion of re in re 3.771 * [backup-simplify]: Simplify 0 into 0 3.771 * [backup-simplify]: Simplify 1 into 1 3.771 * [backup-simplify]: Simplify (* 1 1) into 1 3.772 * [backup-simplify]: Simplify (/ 1 1) into 1 3.772 * [backup-simplify]: Simplify (+ 0 1) into 1 3.772 * [backup-simplify]: Simplify (sqrt 1) into 1 3.773 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.773 * [backup-simplify]: Simplify (+ 0 0) into 0 3.774 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.774 * [backup-simplify]: Simplify (+ 1 1) into 2 3.774 * [taylor]: Taking taylor expansion of 2 in im 3.774 * [backup-simplify]: Simplify 2 into 2 3.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.775 * [backup-simplify]: Simplify (+ 0 0) into 0 3.775 * [taylor]: Taking taylor expansion of 0 in im 3.775 * [backup-simplify]: Simplify 0 into 0 3.775 * [backup-simplify]: Simplify 2 into 2 3.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.777 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.777 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.778 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 3.778 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 3.778 * [taylor]: Taking taylor expansion of 1/2 in im 3.778 * [backup-simplify]: Simplify 1/2 into 1/2 3.778 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.778 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.778 * [taylor]: Taking taylor expansion of im in im 3.778 * [backup-simplify]: Simplify 0 into 0 3.778 * [backup-simplify]: Simplify 1 into 1 3.778 * [backup-simplify]: Simplify (* 1 1) into 1 3.778 * [backup-simplify]: Simplify (/ 1 1) into 1 3.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.779 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.780 * [backup-simplify]: Simplify 0 into 0 3.780 * [backup-simplify]: Simplify 0 into 0 3.780 * [backup-simplify]: Simplify 0 into 0 3.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.780 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.781 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.782 * [backup-simplify]: Simplify (+ 0 0) into 0 3.783 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.783 * [backup-simplify]: Simplify (+ 0 0) into 0 3.783 * [taylor]: Taking taylor expansion of 0 in im 3.783 * [backup-simplify]: Simplify 0 into 0 3.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.785 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.785 * [backup-simplify]: Simplify 0 into 0 3.785 * [backup-simplify]: Simplify 0 into 0 3.785 * [backup-simplify]: Simplify 0 into 0 3.785 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 3.785 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1) 3.785 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 3.785 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 3.785 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 3.785 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 3.785 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.785 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.785 * [taylor]: Taking taylor expansion of re in im 3.785 * [backup-simplify]: Simplify re into re 3.785 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.785 * [taylor]: Taking taylor expansion of im in im 3.785 * [backup-simplify]: Simplify 0 into 0 3.785 * [backup-simplify]: Simplify 1 into 1 3.785 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.785 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 3.785 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.786 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.786 * [backup-simplify]: Simplify (+ 0 0) into 0 3.786 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.786 * [taylor]: Taking taylor expansion of re in im 3.786 * [backup-simplify]: Simplify re into re 3.786 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 3.786 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.786 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.786 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.786 * [taylor]: Taking taylor expansion of re in re 3.786 * [backup-simplify]: Simplify 0 into 0 3.786 * [backup-simplify]: Simplify 1 into 1 3.786 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.786 * [taylor]: Taking taylor expansion of im in re 3.786 * [backup-simplify]: Simplify im into im 3.787 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.787 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.787 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.787 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.787 * [backup-simplify]: Simplify (+ 0 0) into 0 3.788 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.788 * [taylor]: Taking taylor expansion of re in re 3.788 * [backup-simplify]: Simplify 0 into 0 3.788 * [backup-simplify]: Simplify 1 into 1 3.788 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 3.788 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.788 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.788 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.788 * [taylor]: Taking taylor expansion of re in re 3.788 * [backup-simplify]: Simplify 0 into 0 3.788 * [backup-simplify]: Simplify 1 into 1 3.788 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.788 * [taylor]: Taking taylor expansion of im in re 3.788 * [backup-simplify]: Simplify im into im 3.788 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.788 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.788 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.788 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.789 * [backup-simplify]: Simplify (+ 0 0) into 0 3.789 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.789 * [taylor]: Taking taylor expansion of re in re 3.789 * [backup-simplify]: Simplify 0 into 0 3.789 * [backup-simplify]: Simplify 1 into 1 3.789 * [backup-simplify]: Simplify (- 0) into 0 3.789 * [backup-simplify]: Simplify (+ im 0) into im 3.790 * [taylor]: Taking taylor expansion of im in im 3.790 * [backup-simplify]: Simplify 0 into 0 3.790 * [backup-simplify]: Simplify 1 into 1 3.790 * [backup-simplify]: Simplify 0 into 0 3.790 * [backup-simplify]: Simplify (- 1) into -1 3.790 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.790 * [taylor]: Taking taylor expansion of -1 in im 3.790 * [backup-simplify]: Simplify -1 into -1 3.790 * [backup-simplify]: Simplify -1 into -1 3.791 * [backup-simplify]: Simplify 1 into 1 3.791 * [backup-simplify]: Simplify (* 1 1) into 1 3.791 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.792 * [backup-simplify]: Simplify (+ 1 0) into 1 3.793 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.793 * [backup-simplify]: Simplify (- 0) into 0 3.793 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 3.793 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 3.793 * [taylor]: Taking taylor expansion of 1/2 in im 3.793 * [backup-simplify]: Simplify 1/2 into 1/2 3.793 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.793 * [taylor]: Taking taylor expansion of im in im 3.793 * [backup-simplify]: Simplify 0 into 0 3.793 * [backup-simplify]: Simplify 1 into 1 3.794 * [backup-simplify]: Simplify (/ 1 1) into 1 3.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.795 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.795 * [backup-simplify]: Simplify 0 into 0 3.795 * [backup-simplify]: Simplify 0 into 0 3.795 * [backup-simplify]: Simplify 0 into 0 3.796 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.797 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.797 * [backup-simplify]: Simplify (+ 0 0) into 0 3.797 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.798 * [backup-simplify]: Simplify (- 0) into 0 3.798 * [backup-simplify]: Simplify (+ 0 0) into 0 3.798 * [taylor]: Taking taylor expansion of 0 in im 3.798 * [backup-simplify]: Simplify 0 into 0 3.798 * [backup-simplify]: Simplify 0 into 0 3.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.800 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.800 * [backup-simplify]: Simplify 0 into 0 3.800 * [backup-simplify]: Simplify 0 into 0 3.801 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 3.801 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 3.801 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 3.801 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 3.801 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.801 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.801 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.801 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.801 * [taylor]: Taking taylor expansion of im in im 3.801 * [backup-simplify]: Simplify 0 into 0 3.801 * [backup-simplify]: Simplify 1 into 1 3.802 * [backup-simplify]: Simplify (* 1 1) into 1 3.802 * [backup-simplify]: Simplify (/ 1 1) into 1 3.802 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.802 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.802 * [taylor]: Taking taylor expansion of re in im 3.802 * [backup-simplify]: Simplify re into re 3.802 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.802 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.803 * [backup-simplify]: Simplify (+ 1 0) into 1 3.803 * [backup-simplify]: Simplify (sqrt 1) into 1 3.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.805 * [backup-simplify]: Simplify (+ 0 0) into 0 3.806 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.806 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.806 * [taylor]: Taking taylor expansion of re in im 3.806 * [backup-simplify]: Simplify re into re 3.806 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.806 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 3.806 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.806 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.806 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.806 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.806 * [taylor]: Taking taylor expansion of im in re 3.807 * [backup-simplify]: Simplify im into im 3.807 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.807 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.807 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.807 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.807 * [taylor]: Taking taylor expansion of re in re 3.807 * [backup-simplify]: Simplify 0 into 0 3.807 * [backup-simplify]: Simplify 1 into 1 3.807 * [backup-simplify]: Simplify (* 1 1) into 1 3.808 * [backup-simplify]: Simplify (/ 1 1) into 1 3.808 * [backup-simplify]: Simplify (+ 0 1) into 1 3.809 * [backup-simplify]: Simplify (sqrt 1) into 1 3.809 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.810 * [backup-simplify]: Simplify (+ 0 0) into 0 3.811 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.811 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.811 * [taylor]: Taking taylor expansion of re in re 3.811 * [backup-simplify]: Simplify 0 into 0 3.811 * [backup-simplify]: Simplify 1 into 1 3.812 * [backup-simplify]: Simplify (/ 1 1) into 1 3.812 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 3.812 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.812 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.812 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.812 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.812 * [taylor]: Taking taylor expansion of im in re 3.812 * [backup-simplify]: Simplify im into im 3.812 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.812 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.812 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.812 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.812 * [taylor]: Taking taylor expansion of re in re 3.812 * [backup-simplify]: Simplify 0 into 0 3.812 * [backup-simplify]: Simplify 1 into 1 3.813 * [backup-simplify]: Simplify (* 1 1) into 1 3.813 * [backup-simplify]: Simplify (/ 1 1) into 1 3.813 * [backup-simplify]: Simplify (+ 0 1) into 1 3.814 * [backup-simplify]: Simplify (sqrt 1) into 1 3.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.815 * [backup-simplify]: Simplify (+ 0 0) into 0 3.815 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.815 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.815 * [taylor]: Taking taylor expansion of re in re 3.815 * [backup-simplify]: Simplify 0 into 0 3.815 * [backup-simplify]: Simplify 1 into 1 3.816 * [backup-simplify]: Simplify (/ 1 1) into 1 3.816 * [backup-simplify]: Simplify (- 1) into -1 3.816 * [backup-simplify]: Simplify (+ 1 -1) into 0 3.816 * [taylor]: Taking taylor expansion of 0 in im 3.816 * [backup-simplify]: Simplify 0 into 0 3.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.817 * [backup-simplify]: Simplify (- 0) into 0 3.817 * [backup-simplify]: Simplify (+ 0 0) into 0 3.817 * [taylor]: Taking taylor expansion of 0 in im 3.817 * [backup-simplify]: Simplify 0 into 0 3.817 * [backup-simplify]: Simplify 0 into 0 3.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.818 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.819 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.820 * [backup-simplify]: Simplify (- 0) into 0 3.820 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 3.820 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 3.820 * [taylor]: Taking taylor expansion of 1/2 in im 3.820 * [backup-simplify]: Simplify 1/2 into 1/2 3.820 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.820 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.820 * [taylor]: Taking taylor expansion of im in im 3.820 * [backup-simplify]: Simplify 0 into 0 3.820 * [backup-simplify]: Simplify 1 into 1 3.821 * [backup-simplify]: Simplify (* 1 1) into 1 3.821 * [backup-simplify]: Simplify (/ 1 1) into 1 3.821 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.822 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.822 * [backup-simplify]: Simplify 0 into 0 3.822 * [backup-simplify]: Simplify 0 into 0 3.822 * [backup-simplify]: Simplify 0 into 0 3.822 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.823 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.824 * [backup-simplify]: Simplify (+ 0 0) into 0 3.824 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.825 * [backup-simplify]: Simplify (- 0) into 0 3.825 * [backup-simplify]: Simplify (+ 0 0) into 0 3.825 * [taylor]: Taking taylor expansion of 0 in im 3.825 * [backup-simplify]: Simplify 0 into 0 3.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.827 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.827 * [backup-simplify]: Simplify 0 into 0 3.827 * [backup-simplify]: Simplify 0 into 0 3.827 * [backup-simplify]: Simplify 0 into 0 3.827 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 3.827 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 3.827 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 3.827 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.827 * [taylor]: Taking taylor expansion of re in im 3.827 * [backup-simplify]: Simplify re into re 3.827 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.827 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.827 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.827 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.828 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.828 * [taylor]: Taking taylor expansion of im in im 3.828 * [backup-simplify]: Simplify 0 into 0 3.828 * [backup-simplify]: Simplify 1 into 1 3.828 * [backup-simplify]: Simplify (* 1 1) into 1 3.828 * [backup-simplify]: Simplify (/ 1 1) into 1 3.828 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.828 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.828 * [taylor]: Taking taylor expansion of re in im 3.828 * [backup-simplify]: Simplify re into re 3.828 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.828 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.829 * [backup-simplify]: Simplify (+ 1 0) into 1 3.829 * [backup-simplify]: Simplify (sqrt 1) into 1 3.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.830 * [backup-simplify]: Simplify (+ 0 0) into 0 3.830 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.830 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 3.830 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.830 * [taylor]: Taking taylor expansion of re in re 3.830 * [backup-simplify]: Simplify 0 into 0 3.830 * [backup-simplify]: Simplify 1 into 1 3.831 * [backup-simplify]: Simplify (/ 1 1) into 1 3.831 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.831 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.831 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.831 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.831 * [taylor]: Taking taylor expansion of im in re 3.831 * [backup-simplify]: Simplify im into im 3.831 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.831 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.831 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.831 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.831 * [taylor]: Taking taylor expansion of re in re 3.831 * [backup-simplify]: Simplify 0 into 0 3.831 * [backup-simplify]: Simplify 1 into 1 3.831 * [backup-simplify]: Simplify (* 1 1) into 1 3.831 * [backup-simplify]: Simplify (/ 1 1) into 1 3.832 * [backup-simplify]: Simplify (+ 0 1) into 1 3.832 * [backup-simplify]: Simplify (sqrt 1) into 1 3.832 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.833 * [backup-simplify]: Simplify (+ 0 0) into 0 3.833 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.833 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 3.833 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.833 * [taylor]: Taking taylor expansion of re in re 3.833 * [backup-simplify]: Simplify 0 into 0 3.833 * [backup-simplify]: Simplify 1 into 1 3.834 * [backup-simplify]: Simplify (/ 1 1) into 1 3.834 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.834 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.834 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.834 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.834 * [taylor]: Taking taylor expansion of im in re 3.834 * [backup-simplify]: Simplify im into im 3.834 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.834 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.834 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.834 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.834 * [taylor]: Taking taylor expansion of re in re 3.834 * [backup-simplify]: Simplify 0 into 0 3.834 * [backup-simplify]: Simplify 1 into 1 3.834 * [backup-simplify]: Simplify (* 1 1) into 1 3.835 * [backup-simplify]: Simplify (/ 1 1) into 1 3.835 * [backup-simplify]: Simplify (+ 0 1) into 1 3.835 * [backup-simplify]: Simplify (sqrt 1) into 1 3.835 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.836 * [backup-simplify]: Simplify (+ 0 0) into 0 3.837 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.837 * [backup-simplify]: Simplify (+ 1 1) into 2 3.837 * [taylor]: Taking taylor expansion of 2 in im 3.837 * [backup-simplify]: Simplify 2 into 2 3.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.838 * [backup-simplify]: Simplify (+ 0 0) into 0 3.838 * [taylor]: Taking taylor expansion of 0 in im 3.838 * [backup-simplify]: Simplify 0 into 0 3.838 * [backup-simplify]: Simplify 2 into 2 3.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.839 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.840 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.840 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 3.840 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 3.840 * [taylor]: Taking taylor expansion of 1/2 in im 3.840 * [backup-simplify]: Simplify 1/2 into 1/2 3.840 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.840 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.840 * [taylor]: Taking taylor expansion of im in im 3.840 * [backup-simplify]: Simplify 0 into 0 3.840 * [backup-simplify]: Simplify 1 into 1 3.841 * [backup-simplify]: Simplify (* 1 1) into 1 3.841 * [backup-simplify]: Simplify (/ 1 1) into 1 3.841 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.842 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.842 * [backup-simplify]: Simplify 0 into 0 3.842 * [backup-simplify]: Simplify 0 into 0 3.842 * [backup-simplify]: Simplify 0 into 0 3.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.843 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.843 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.844 * [backup-simplify]: Simplify (+ 0 0) into 0 3.845 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.845 * [backup-simplify]: Simplify (+ 0 0) into 0 3.845 * [taylor]: Taking taylor expansion of 0 in im 3.845 * [backup-simplify]: Simplify 0 into 0 3.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.848 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.848 * [backup-simplify]: Simplify 0 into 0 3.848 * [backup-simplify]: Simplify 0 into 0 3.848 * [backup-simplify]: Simplify 0 into 0 3.848 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 3.848 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1 1 1) 3.848 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2)) 3.848 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 3.848 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.848 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.848 * [taylor]: Taking taylor expansion of re in im 3.848 * [backup-simplify]: Simplify re into re 3.848 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.848 * [taylor]: Taking taylor expansion of im in im 3.848 * [backup-simplify]: Simplify 0 into 0 3.848 * [backup-simplify]: Simplify 1 into 1 3.849 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.849 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.849 * [taylor]: Taking taylor expansion of re in re 3.849 * [backup-simplify]: Simplify 0 into 0 3.849 * [backup-simplify]: Simplify 1 into 1 3.849 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.849 * [taylor]: Taking taylor expansion of im in re 3.849 * [backup-simplify]: Simplify im into im 3.849 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.849 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.849 * [taylor]: Taking taylor expansion of re in re 3.849 * [backup-simplify]: Simplify 0 into 0 3.849 * [backup-simplify]: Simplify 1 into 1 3.849 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.849 * [taylor]: Taking taylor expansion of im in re 3.849 * [backup-simplify]: Simplify im into im 3.849 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.849 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.849 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.849 * [taylor]: Taking taylor expansion of im in im 3.849 * [backup-simplify]: Simplify 0 into 0 3.849 * [backup-simplify]: Simplify 1 into 1 3.849 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.850 * [backup-simplify]: Simplify (+ 0 0) into 0 3.850 * [taylor]: Taking taylor expansion of 0 in im 3.850 * [backup-simplify]: Simplify 0 into 0 3.850 * [backup-simplify]: Simplify 0 into 0 3.850 * [backup-simplify]: Simplify (* 1 1) into 1 3.851 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.851 * [backup-simplify]: Simplify (+ 1 0) into 1 3.851 * [taylor]: Taking taylor expansion of 1 in im 3.851 * [backup-simplify]: Simplify 1 into 1 3.851 * [backup-simplify]: Simplify 1 into 1 3.851 * [backup-simplify]: Simplify 0 into 0 3.852 * [backup-simplify]: Simplify (* 1 1) into 1 3.852 * [backup-simplify]: Simplify 1 into 1 3.852 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.853 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.854 * [backup-simplify]: Simplify (+ 0 0) into 0 3.854 * [taylor]: Taking taylor expansion of 0 in im 3.854 * [backup-simplify]: Simplify 0 into 0 3.854 * [backup-simplify]: Simplify 0 into 0 3.854 * [backup-simplify]: Simplify 0 into 0 3.854 * [backup-simplify]: Simplify 0 into 0 3.854 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.855 * [backup-simplify]: Simplify 0 into 0 3.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.856 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 3.857 * [backup-simplify]: Simplify (+ 0 0) into 0 3.857 * [taylor]: Taking taylor expansion of 0 in im 3.857 * [backup-simplify]: Simplify 0 into 0 3.857 * [backup-simplify]: Simplify 0 into 0 3.857 * [backup-simplify]: Simplify 0 into 0 3.857 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2)) 3.858 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 3.858 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 3.858 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.858 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.858 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.858 * [taylor]: Taking taylor expansion of im in im 3.858 * [backup-simplify]: Simplify 0 into 0 3.858 * [backup-simplify]: Simplify 1 into 1 3.859 * [backup-simplify]: Simplify (* 1 1) into 1 3.859 * [backup-simplify]: Simplify (/ 1 1) into 1 3.859 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.859 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.859 * [taylor]: Taking taylor expansion of re in im 3.859 * [backup-simplify]: Simplify re into re 3.859 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.859 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.859 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.859 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.859 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.859 * [taylor]: Taking taylor expansion of im in re 3.860 * [backup-simplify]: Simplify im into im 3.860 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.860 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.860 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.860 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.860 * [taylor]: Taking taylor expansion of re in re 3.860 * [backup-simplify]: Simplify 0 into 0 3.860 * [backup-simplify]: Simplify 1 into 1 3.860 * [backup-simplify]: Simplify (* 1 1) into 1 3.861 * [backup-simplify]: Simplify (/ 1 1) into 1 3.861 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.861 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.861 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.861 * [taylor]: Taking taylor expansion of im in re 3.861 * [backup-simplify]: Simplify im into im 3.861 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.861 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.861 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.861 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.861 * [taylor]: Taking taylor expansion of re in re 3.861 * [backup-simplify]: Simplify 0 into 0 3.861 * [backup-simplify]: Simplify 1 into 1 3.862 * [backup-simplify]: Simplify (* 1 1) into 1 3.862 * [backup-simplify]: Simplify (/ 1 1) into 1 3.863 * [backup-simplify]: Simplify (+ 0 1) into 1 3.863 * [taylor]: Taking taylor expansion of 1 in im 3.863 * [backup-simplify]: Simplify 1 into 1 3.863 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.864 * [backup-simplify]: Simplify (+ 0 0) into 0 3.864 * [taylor]: Taking taylor expansion of 0 in im 3.864 * [backup-simplify]: Simplify 0 into 0 3.865 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.866 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.866 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.867 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.867 * [taylor]: Taking taylor expansion of im in im 3.867 * [backup-simplify]: Simplify 0 into 0 3.867 * [backup-simplify]: Simplify 1 into 1 3.867 * [backup-simplify]: Simplify (* 1 1) into 1 3.867 * [backup-simplify]: Simplify (/ 1 1) into 1 3.867 * [backup-simplify]: Simplify 1 into 1 3.867 * [backup-simplify]: Simplify 1 into 1 3.868 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.868 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.870 * [backup-simplify]: Simplify (+ 0 0) into 0 3.870 * [taylor]: Taking taylor expansion of 0 in im 3.870 * [backup-simplify]: Simplify 0 into 0 3.871 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.872 * [backup-simplify]: Simplify 0 into 0 3.872 * [backup-simplify]: Simplify 0 into 0 3.872 * [backup-simplify]: Simplify 0 into 0 3.872 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.873 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 3.874 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.881 * [backup-simplify]: Simplify (+ 0 0) into 0 3.881 * [taylor]: Taking taylor expansion of 0 in im 3.881 * [backup-simplify]: Simplify 0 into 0 3.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.882 * [backup-simplify]: Simplify 0 into 0 3.882 * [backup-simplify]: Simplify 0 into 0 3.882 * [backup-simplify]: Simplify 0 into 0 3.882 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2)) 3.883 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 3.883 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 3.883 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.883 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.883 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.883 * [taylor]: Taking taylor expansion of im in im 3.883 * [backup-simplify]: Simplify 0 into 0 3.883 * [backup-simplify]: Simplify 1 into 1 3.883 * [backup-simplify]: Simplify (* 1 1) into 1 3.883 * [backup-simplify]: Simplify (/ 1 1) into 1 3.883 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.883 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.883 * [taylor]: Taking taylor expansion of re in im 3.883 * [backup-simplify]: Simplify re into re 3.884 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.884 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.884 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.884 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.884 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.884 * [taylor]: Taking taylor expansion of im in re 3.884 * [backup-simplify]: Simplify im into im 3.884 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.884 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.884 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.884 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.884 * [taylor]: Taking taylor expansion of re in re 3.884 * [backup-simplify]: Simplify 0 into 0 3.884 * [backup-simplify]: Simplify 1 into 1 3.884 * [backup-simplify]: Simplify (* 1 1) into 1 3.884 * [backup-simplify]: Simplify (/ 1 1) into 1 3.884 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.884 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.885 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.885 * [taylor]: Taking taylor expansion of im in re 3.885 * [backup-simplify]: Simplify im into im 3.885 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.885 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.885 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.885 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.885 * [taylor]: Taking taylor expansion of re in re 3.885 * [backup-simplify]: Simplify 0 into 0 3.885 * [backup-simplify]: Simplify 1 into 1 3.885 * [backup-simplify]: Simplify (* 1 1) into 1 3.885 * [backup-simplify]: Simplify (/ 1 1) into 1 3.886 * [backup-simplify]: Simplify (+ 0 1) into 1 3.886 * [taylor]: Taking taylor expansion of 1 in im 3.886 * [backup-simplify]: Simplify 1 into 1 3.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.887 * [backup-simplify]: Simplify (+ 0 0) into 0 3.887 * [taylor]: Taking taylor expansion of 0 in im 3.887 * [backup-simplify]: Simplify 0 into 0 3.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.888 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.888 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.888 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.888 * [taylor]: Taking taylor expansion of im in im 3.888 * [backup-simplify]: Simplify 0 into 0 3.888 * [backup-simplify]: Simplify 1 into 1 3.888 * [backup-simplify]: Simplify (* 1 1) into 1 3.888 * [backup-simplify]: Simplify (/ 1 1) into 1 3.889 * [backup-simplify]: Simplify 1 into 1 3.889 * [backup-simplify]: Simplify 1 into 1 3.889 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.889 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.890 * [backup-simplify]: Simplify (+ 0 0) into 0 3.890 * [taylor]: Taking taylor expansion of 0 in im 3.890 * [backup-simplify]: Simplify 0 into 0 3.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.891 * [backup-simplify]: Simplify 0 into 0 3.891 * [backup-simplify]: Simplify 0 into 0 3.891 * [backup-simplify]: Simplify 0 into 0 3.891 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.892 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 3.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.893 * [backup-simplify]: Simplify (+ 0 0) into 0 3.893 * [taylor]: Taking taylor expansion of 0 in im 3.893 * [backup-simplify]: Simplify 0 into 0 3.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.894 * [backup-simplify]: Simplify 0 into 0 3.894 * [backup-simplify]: Simplify 0 into 0 3.894 * [backup-simplify]: Simplify 0 into 0 3.895 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2)) 3.895 * * * [progress]: simplifying candidates 3.896 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (exp 1) (exp (* (cbrt (log (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (log (- (sqrt (+ (* re re) (* im im))) re))))) (exp (sqrt (log (- (sqrt (+ (* re re) (* im im))) re)))) (exp 1) (exp (log (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))) (exp (log (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (exp (log (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (exp (log (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (exp (log 1)) (exp (log (- (sqrt (+ (* re re) (* im im))) re))) (exp (log (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (exp (log (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (exp (log (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (exp (log (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (exp (log 1)) (exp (log (- (sqrt (+ (* re re) (* im im))) re))) (exp (log (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (exp (log (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))))) (exp (log (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (exp (log (+ (sqrt (+ (* re re) (* im im))) re))) (log (exp (log (- (sqrt (+ (* re re) (* im im))) re)))) (exp (exp (log (- (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (exp (log (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (exp (log (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (exp (log (- (sqrt (+ (* re re) (* im im))) re)))) (* (* (exp (log (- (sqrt (+ (* re re) (* im im))) re))) (exp (log (- (sqrt (+ (* re re) (* im im))) re)))) (exp (log (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (exp (log (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (exp (log (- (sqrt (+ (* re re) (* im im))) re)))) (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- 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) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) im re (* -1 re) (- im re) 0 (* -2 re) (- im re) 0 (* -2 re) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 3.898 * * [simplify]: Extracting # 0 : cost 0 3.898 * * [simplify]: Extracting # 1 : cost 0 3.898 * * [simplify]: Extracting # 2 : cost 0 3.898 * * [simplify]: Extracting # 3 : cost 0 3.898 * * [simplify]: Extracting # 4 : cost 0 3.898 * * [simplify]: Extracting # 5 : cost 0 3.898 * * [simplify]: Extracting # 6 : cost 0 3.898 * * [simplify]: iteration 0 : 108 enodes (cost 1062 ) 3.931 * * [simplify]: Extracting # 0 : cost 0 3.931 * * [simplify]: Extracting # 1 : cost 0 3.932 * * [simplify]: Extracting # 2 : cost 0 3.932 * * [simplify]: Extracting # 3 : cost 0 3.932 * * [simplify]: Extracting # 4 : cost 0 3.932 * * [simplify]: iteration 1 : 209 enodes (cost 917 ) 4.018 * * [simplify]: Extracting # 0 : cost 0 4.019 * * [simplify]: Extracting # 1 : cost 0 4.020 * * [simplify]: Extracting # 2 : cost 0 4.021 * * [simplify]: Extracting # 3 : cost 0 4.022 * * [simplify]: Extracting # 4 : cost 0 4.023 * * [simplify]: iteration 2 : 504 enodes (cost 815 ) 4.387 * * [simplify]: Extracting # 0 : cost 0 4.390 * * [simplify]: Extracting # 1 : cost 0 4.392 * * [simplify]: Extracting # 2 : cost 0 4.395 * * [simplify]: Extracting # 3 : cost 0 4.398 * * [simplify]: Extracting # 4 : cost 0 4.400 * * [simplify]: iteration 3 : 1320 enodes (cost 799 ) 5.493 * * [simplify]: Extracting # 0 : cost 0 5.498 * * [simplify]: Extracting # 1 : cost 0 5.501 * * [simplify]: Extracting # 2 : cost 0 5.505 * * [simplify]: Extracting # 3 : cost 0 5.508 * * [simplify]: Extracting # 4 : cost 0 5.512 * * [simplify]: iteration 4 : 3761 enodes (cost 789 ) 7.380 * * [simplify]: Extracting # 0 : cost 0 7.389 * * [simplify]: Extracting # 1 : cost 0 7.399 * * [simplify]: Extracting # 2 : cost 0 7.409 * * [simplify]: Extracting # 3 : cost 0 7.418 * * [simplify]: Extracting # 4 : cost 0 7.434 * * [simplify]: iteration done: 5000 enodes (cost 789 ) 7.435 * [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)))) (pow (sqrt (+ (* re re) (* im im))) 3) (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 (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) E (exp (* (cbrt (log (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (log (- (sqrt (+ (* re re) (* im im))) re))))) (exp (sqrt (log (- (sqrt (+ (* re re) (* im im))) re)))) E (pow (cbrt (- (sqrt (+ (* re re) (* im im))) re)) 2) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 1 (- (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)) 1 (- (sqrt (+ (* re re) (* im im))) re) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* im im) (* re (+ re (+ (sqrt (+ (* re re) (* im im))) re)))) (* im im) (+ (sqrt (+ (* re re) (* im im))) re) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (pow (cbrt (- (sqrt (+ (* re re) (* im im))) re)) 2) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (pow (- (sqrt (+ (* re re) (* im im))) re) 3) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (pow (cbrt (- (sqrt (+ (* re re) (* im im))) re)) 2) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (pow (- (sqrt (+ (* re re) (* im im))) re) 3) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* im im) (* re (+ re (+ (sqrt (+ (* re re) (* im im))) re)))) (- re) (* im im) (+ (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) (exp (+ (* re re) (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (pow (+ (* re re) (* im im)) 3) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow im 6) (pow re 6)) (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)) (- (pow re 4) (pow im 4)) (- (* re re) (* im im)) im re (- re) (- im re) 0 (* -2 re) (- im re) 0 (* -2 re) (+ (* re re) (* im im)) (+ (* re re) (* im im)) (+ (* re re) (* im im)) 7.436 * * * [progress]: adding candidates to table 7.750 * * [progress]: iteration 3 / 4 7.750 * * * [progress]: picking best candidate 7.785 * * * * [pick]: Picked # 7.785 * * * [progress]: localizing error 7.818 * * * [progress]: generating rewritten candidates 7.818 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1) 7.835 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 7.859 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 7.925 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 8.039 * * * [progress]: generating series expansions 8.039 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1) 8.039 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 8.039 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 8.039 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 8.039 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 8.039 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.039 * [taylor]: Taking taylor expansion of re in im 8.039 * [backup-simplify]: Simplify re into re 8.039 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.039 * [taylor]: Taking taylor expansion of im in im 8.039 * [backup-simplify]: Simplify 0 into 0 8.039 * [backup-simplify]: Simplify 1 into 1 8.039 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.039 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 8.039 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 8.039 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 8.040 * [backup-simplify]: Simplify (+ 0 0) into 0 8.040 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 8.040 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 8.040 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 8.040 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.040 * [taylor]: Taking taylor expansion of re in re 8.040 * [backup-simplify]: Simplify 0 into 0 8.040 * [backup-simplify]: Simplify 1 into 1 8.040 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.040 * [taylor]: Taking taylor expansion of im in re 8.040 * [backup-simplify]: Simplify im into im 8.040 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.040 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 8.041 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.041 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.041 * [backup-simplify]: Simplify (+ 0 0) into 0 8.041 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.041 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 8.041 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 8.041 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.041 * [taylor]: Taking taylor expansion of re in re 8.041 * [backup-simplify]: Simplify 0 into 0 8.041 * [backup-simplify]: Simplify 1 into 1 8.041 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.041 * [taylor]: Taking taylor expansion of im in re 8.041 * [backup-simplify]: Simplify im into im 8.041 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.041 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 8.041 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.041 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.042 * [backup-simplify]: Simplify (+ 0 0) into 0 8.042 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.042 * [taylor]: Taking taylor expansion of im in im 8.042 * [backup-simplify]: Simplify 0 into 0 8.042 * [backup-simplify]: Simplify 1 into 1 8.042 * [backup-simplify]: Simplify 0 into 0 8.042 * [taylor]: Taking taylor expansion of 0 in im 8.042 * [backup-simplify]: Simplify 0 into 0 8.042 * [backup-simplify]: Simplify 0 into 0 8.042 * [backup-simplify]: Simplify 1 into 1 8.042 * [backup-simplify]: Simplify (* 1 1) into 1 8.043 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 8.043 * [backup-simplify]: Simplify (+ 1 0) into 1 8.043 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 8.043 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 8.043 * [taylor]: Taking taylor expansion of 1/2 in im 8.043 * [backup-simplify]: Simplify 1/2 into 1/2 8.043 * [taylor]: Taking taylor expansion of im in im 8.043 * [backup-simplify]: Simplify 0 into 0 8.043 * [backup-simplify]: Simplify 1 into 1 8.044 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.044 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.044 * [backup-simplify]: Simplify 0 into 0 8.044 * [backup-simplify]: Simplify 0 into 0 8.044 * [backup-simplify]: Simplify 0 into 0 8.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.045 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 8.045 * [backup-simplify]: Simplify (+ 0 0) into 0 8.045 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 8.045 * [taylor]: Taking taylor expansion of 0 in im 8.046 * [backup-simplify]: Simplify 0 into 0 8.046 * [backup-simplify]: Simplify 0 into 0 8.046 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.046 * [backup-simplify]: Simplify 0 into 0 8.046 * [backup-simplify]: Simplify 0 into 0 8.046 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 8.046 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 8.046 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 8.046 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 8.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 8.046 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.046 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.047 * [taylor]: Taking taylor expansion of im in im 8.047 * [backup-simplify]: Simplify 0 into 0 8.047 * [backup-simplify]: Simplify 1 into 1 8.047 * [backup-simplify]: Simplify (* 1 1) into 1 8.047 * [backup-simplify]: Simplify (/ 1 1) into 1 8.047 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 8.047 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.047 * [taylor]: Taking taylor expansion of re in im 8.047 * [backup-simplify]: Simplify re into re 8.047 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.047 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 8.048 * [backup-simplify]: Simplify (+ 1 0) into 1 8.048 * [backup-simplify]: Simplify (sqrt 1) into 1 8.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.049 * [backup-simplify]: Simplify (+ 0 0) into 0 8.049 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.049 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 8.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 8.049 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.049 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.049 * [taylor]: Taking taylor expansion of im in re 8.049 * [backup-simplify]: Simplify im into im 8.049 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.050 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.050 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.050 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.050 * [taylor]: Taking taylor expansion of re in re 8.050 * [backup-simplify]: Simplify 0 into 0 8.050 * [backup-simplify]: Simplify 1 into 1 8.050 * [backup-simplify]: Simplify (* 1 1) into 1 8.050 * [backup-simplify]: Simplify (/ 1 1) into 1 8.050 * [backup-simplify]: Simplify (+ 0 1) into 1 8.051 * [backup-simplify]: Simplify (sqrt 1) into 1 8.051 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.052 * [backup-simplify]: Simplify (+ 0 0) into 0 8.052 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.052 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 8.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 8.052 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.052 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.052 * [taylor]: Taking taylor expansion of im in re 8.052 * [backup-simplify]: Simplify im into im 8.052 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.052 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.052 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.052 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.052 * [taylor]: Taking taylor expansion of re in re 8.052 * [backup-simplify]: Simplify 0 into 0 8.052 * [backup-simplify]: Simplify 1 into 1 8.053 * [backup-simplify]: Simplify (* 1 1) into 1 8.053 * [backup-simplify]: Simplify (/ 1 1) into 1 8.053 * [backup-simplify]: Simplify (+ 0 1) into 1 8.053 * [backup-simplify]: Simplify (sqrt 1) into 1 8.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.054 * [backup-simplify]: Simplify (+ 0 0) into 0 8.055 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.055 * [taylor]: Taking taylor expansion of 1 in im 8.055 * [backup-simplify]: Simplify 1 into 1 8.055 * [taylor]: Taking taylor expansion of 0 in im 8.055 * [backup-simplify]: Simplify 0 into 0 8.055 * [backup-simplify]: Simplify 1 into 1 8.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.056 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 8.057 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.057 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 8.057 * [taylor]: Taking taylor expansion of 1/2 in im 8.057 * [backup-simplify]: Simplify 1/2 into 1/2 8.057 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.057 * [taylor]: Taking taylor expansion of im in im 8.057 * [backup-simplify]: Simplify 0 into 0 8.057 * [backup-simplify]: Simplify 1 into 1 8.057 * [backup-simplify]: Simplify (* 1 1) into 1 8.058 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.059 * [backup-simplify]: Simplify 0 into 0 8.059 * [backup-simplify]: Simplify 0 into 0 8.059 * [backup-simplify]: Simplify 0 into 0 8.059 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.059 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 8.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.060 * [backup-simplify]: Simplify (+ 0 0) into 0 8.061 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 8.061 * [taylor]: Taking taylor expansion of 0 in im 8.061 * [backup-simplify]: Simplify 0 into 0 8.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.062 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.062 * [backup-simplify]: Simplify 0 into 0 8.062 * [backup-simplify]: Simplify 0 into 0 8.062 * [backup-simplify]: Simplify 0 into 0 8.062 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 8.062 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 8.062 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 8.062 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 8.062 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 8.062 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.062 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.062 * [taylor]: Taking taylor expansion of im in im 8.062 * [backup-simplify]: Simplify 0 into 0 8.062 * [backup-simplify]: Simplify 1 into 1 8.063 * [backup-simplify]: Simplify (* 1 1) into 1 8.063 * [backup-simplify]: Simplify (/ 1 1) into 1 8.063 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 8.063 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.063 * [taylor]: Taking taylor expansion of re in im 8.063 * [backup-simplify]: Simplify re into re 8.063 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.063 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 8.063 * [backup-simplify]: Simplify (+ 1 0) into 1 8.064 * [backup-simplify]: Simplify (sqrt 1) into 1 8.064 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.065 * [backup-simplify]: Simplify (+ 0 0) into 0 8.065 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.065 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 8.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 8.065 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.065 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.065 * [taylor]: Taking taylor expansion of im in re 8.065 * [backup-simplify]: Simplify im into im 8.065 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.065 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.065 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.065 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.065 * [taylor]: Taking taylor expansion of re in re 8.065 * [backup-simplify]: Simplify 0 into 0 8.065 * [backup-simplify]: Simplify 1 into 1 8.066 * [backup-simplify]: Simplify (* 1 1) into 1 8.066 * [backup-simplify]: Simplify (/ 1 1) into 1 8.066 * [backup-simplify]: Simplify (+ 0 1) into 1 8.067 * [backup-simplify]: Simplify (sqrt 1) into 1 8.067 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.068 * [backup-simplify]: Simplify (+ 0 0) into 0 8.068 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.068 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 8.068 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 8.068 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.068 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.068 * [taylor]: Taking taylor expansion of im in re 8.068 * [backup-simplify]: Simplify im into im 8.068 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.068 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.068 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.068 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.068 * [taylor]: Taking taylor expansion of re in re 8.068 * [backup-simplify]: Simplify 0 into 0 8.068 * [backup-simplify]: Simplify 1 into 1 8.069 * [backup-simplify]: Simplify (* 1 1) into 1 8.069 * [backup-simplify]: Simplify (/ 1 1) into 1 8.069 * [backup-simplify]: Simplify (+ 0 1) into 1 8.069 * [backup-simplify]: Simplify (sqrt 1) into 1 8.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.070 * [backup-simplify]: Simplify (+ 0 0) into 0 8.071 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.071 * [taylor]: Taking taylor expansion of 1 in im 8.071 * [backup-simplify]: Simplify 1 into 1 8.071 * [taylor]: Taking taylor expansion of 0 in im 8.071 * [backup-simplify]: Simplify 0 into 0 8.071 * [backup-simplify]: Simplify 1 into 1 8.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.072 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 8.073 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.073 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 8.073 * [taylor]: Taking taylor expansion of 1/2 in im 8.073 * [backup-simplify]: Simplify 1/2 into 1/2 8.073 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.073 * [taylor]: Taking taylor expansion of im in im 8.073 * [backup-simplify]: Simplify 0 into 0 8.073 * [backup-simplify]: Simplify 1 into 1 8.073 * [backup-simplify]: Simplify (* 1 1) into 1 8.074 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.075 * [backup-simplify]: Simplify 0 into 0 8.075 * [backup-simplify]: Simplify 0 into 0 8.075 * [backup-simplify]: Simplify 0 into 0 8.075 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.076 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 8.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.078 * [backup-simplify]: Simplify (+ 0 0) into 0 8.079 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 8.079 * [taylor]: Taking taylor expansion of 0 in im 8.079 * [backup-simplify]: Simplify 0 into 0 8.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.081 * [backup-simplify]: Simplify 0 into 0 8.081 * [backup-simplify]: Simplify 0 into 0 8.081 * [backup-simplify]: Simplify 0 into 0 8.081 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 8.081 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 8.081 * [backup-simplify]: Simplify (sqrt (* 2.0 (* im im))) into (* (sqrt 2.0) im) 8.081 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) im) in (im) around 0 8.081 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 8.081 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 8.082 * [taylor]: Taking taylor expansion of 2.0 in im 8.082 * [backup-simplify]: Simplify 2.0 into 2.0 8.082 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.083 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.083 * [taylor]: Taking taylor expansion of im in im 8.083 * [backup-simplify]: Simplify 0 into 0 8.083 * [backup-simplify]: Simplify 1 into 1 8.083 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 8.083 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 8.083 * [taylor]: Taking taylor expansion of 2.0 in im 8.083 * [backup-simplify]: Simplify 2.0 into 2.0 8.083 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.084 * [taylor]: Taking taylor expansion of im in im 8.084 * [backup-simplify]: Simplify 0 into 0 8.084 * [backup-simplify]: Simplify 1 into 1 8.085 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 8.085 * [backup-simplify]: Simplify 0 into 0 8.087 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0) 8.087 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.089 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 8.090 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0 8.090 * [backup-simplify]: Simplify 0 into 0 8.091 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 8.093 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.093 * [backup-simplify]: Simplify 0 into 0 8.094 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 8.096 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.096 * [backup-simplify]: Simplify 0 into 0 8.097 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 8.099 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 8.099 * [backup-simplify]: Simplify 0 into 0 8.100 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 8.102 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 8.102 * [backup-simplify]: Simplify 0 into 0 8.104 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 8.106 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 8.106 * [backup-simplify]: Simplify 0 into 0 8.106 * [backup-simplify]: Simplify (* (sqrt 2.0) im) into (* (sqrt 2.0) im) 8.107 * [backup-simplify]: Simplify (sqrt (* 2.0 (* (/ 1 im) (/ 1 im)))) into (/ (sqrt 2.0) im) 8.107 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) im) in (im) around 0 8.107 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 8.107 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 8.107 * [taylor]: Taking taylor expansion of 2.0 in im 8.107 * [backup-simplify]: Simplify 2.0 into 2.0 8.107 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.108 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.108 * [taylor]: Taking taylor expansion of im in im 8.108 * [backup-simplify]: Simplify 0 into 0 8.108 * [backup-simplify]: Simplify 1 into 1 8.109 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 8.109 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 8.109 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 8.109 * [taylor]: Taking taylor expansion of 2.0 in im 8.109 * [backup-simplify]: Simplify 2.0 into 2.0 8.109 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.110 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.110 * [taylor]: Taking taylor expansion of im in im 8.110 * [backup-simplify]: Simplify 0 into 0 8.110 * [backup-simplify]: Simplify 1 into 1 8.111 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 8.112 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 8.113 * [backup-simplify]: Simplify 0 into 0 8.114 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 8.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.115 * [backup-simplify]: Simplify 0 into 0 8.117 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 8.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.118 * [backup-simplify]: Simplify 0 into 0 8.119 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 8.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.121 * [backup-simplify]: Simplify 0 into 0 8.122 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 8.123 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.123 * [backup-simplify]: Simplify 0 into 0 8.125 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 8.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.126 * [backup-simplify]: Simplify 0 into 0 8.127 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ 1 (/ 1 im))) into (* (sqrt 2.0) im) 8.127 * [backup-simplify]: Simplify (sqrt (* 2.0 (* (/ 1 (- im)) (/ 1 (- im))))) into (/ (sqrt 2.0) im) 8.127 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) im) in (im) around 0 8.127 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 8.127 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 8.127 * [taylor]: Taking taylor expansion of 2.0 in im 8.127 * [backup-simplify]: Simplify 2.0 into 2.0 8.128 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.129 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.129 * [taylor]: Taking taylor expansion of im in im 8.129 * [backup-simplify]: Simplify 0 into 0 8.129 * [backup-simplify]: Simplify 1 into 1 8.130 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 8.130 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 8.130 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 8.130 * [taylor]: Taking taylor expansion of 2.0 in im 8.130 * [backup-simplify]: Simplify 2.0 into 2.0 8.130 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.131 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.131 * [taylor]: Taking taylor expansion of im in im 8.131 * [backup-simplify]: Simplify 0 into 0 8.131 * [backup-simplify]: Simplify 1 into 1 8.132 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 8.133 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 8.134 * [backup-simplify]: Simplify 0 into 0 8.135 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 8.136 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.136 * [backup-simplify]: Simplify 0 into 0 8.137 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 8.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.139 * [backup-simplify]: Simplify 0 into 0 8.141 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 8.142 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.142 * [backup-simplify]: Simplify 0 into 0 8.144 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 8.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.145 * [backup-simplify]: Simplify 0 into 0 8.147 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 8.148 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.148 * [backup-simplify]: Simplify 0 into 0 8.149 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ 1 (/ 1 (- im)))) into (* -1 (* (sqrt 2.0) im)) 8.149 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 8.149 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2)))) 8.149 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 8.149 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 8.149 * [taylor]: Taking taylor expansion of re in im 8.149 * [backup-simplify]: Simplify re into re 8.149 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 8.150 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 8.150 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.150 * [taylor]: Taking taylor expansion of re in im 8.150 * [backup-simplify]: Simplify re into re 8.150 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.150 * [taylor]: Taking taylor expansion of im in im 8.150 * [backup-simplify]: Simplify 0 into 0 8.150 * [backup-simplify]: Simplify 1 into 1 8.150 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.150 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 8.150 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 8.150 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 8.158 * [backup-simplify]: Simplify (+ 0 0) into 0 8.159 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 8.159 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 8.159 * [taylor]: Taking taylor expansion of re in re 8.159 * [backup-simplify]: Simplify 0 into 0 8.159 * [backup-simplify]: Simplify 1 into 1 8.159 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 8.159 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 8.159 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.159 * [taylor]: Taking taylor expansion of re in re 8.159 * [backup-simplify]: Simplify 0 into 0 8.159 * [backup-simplify]: Simplify 1 into 1 8.159 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.159 * [taylor]: Taking taylor expansion of im in re 8.159 * [backup-simplify]: Simplify im into im 8.159 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.159 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 8.159 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.160 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.160 * [backup-simplify]: Simplify (+ 0 0) into 0 8.160 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.161 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 8.161 * [taylor]: Taking taylor expansion of re in re 8.161 * [backup-simplify]: Simplify 0 into 0 8.161 * [backup-simplify]: Simplify 1 into 1 8.161 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 8.161 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 8.161 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.161 * [taylor]: Taking taylor expansion of re in re 8.161 * [backup-simplify]: Simplify 0 into 0 8.161 * [backup-simplify]: Simplify 1 into 1 8.161 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.161 * [taylor]: Taking taylor expansion of im in re 8.161 * [backup-simplify]: Simplify im into im 8.161 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.161 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 8.161 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.161 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.162 * [backup-simplify]: Simplify (+ 0 0) into 0 8.162 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.162 * [backup-simplify]: Simplify (+ 0 im) into im 8.162 * [taylor]: Taking taylor expansion of im in im 8.162 * [backup-simplify]: Simplify 0 into 0 8.162 * [backup-simplify]: Simplify 1 into 1 8.162 * [backup-simplify]: Simplify 0 into 0 8.163 * [backup-simplify]: Simplify (+ 1 0) into 1 8.163 * [taylor]: Taking taylor expansion of 1 in im 8.163 * [backup-simplify]: Simplify 1 into 1 8.163 * [backup-simplify]: Simplify 1 into 1 8.163 * [backup-simplify]: Simplify 1 into 1 8.163 * [backup-simplify]: Simplify (* 1 1) into 1 8.164 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 8.164 * [backup-simplify]: Simplify (+ 1 0) into 1 8.165 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 8.165 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 8.165 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 8.165 * [taylor]: Taking taylor expansion of 1/2 in im 8.165 * [backup-simplify]: Simplify 1/2 into 1/2 8.165 * [taylor]: Taking taylor expansion of (/ 1 im) in im 8.165 * [taylor]: Taking taylor expansion of im in im 8.165 * [backup-simplify]: Simplify 0 into 0 8.166 * [backup-simplify]: Simplify 1 into 1 8.166 * [backup-simplify]: Simplify (/ 1 1) into 1 8.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.168 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.168 * [backup-simplify]: Simplify 0 into 0 8.168 * [backup-simplify]: Simplify 0 into 0 8.168 * [backup-simplify]: Simplify 0 into 0 8.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.169 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 8.170 * [backup-simplify]: Simplify (+ 0 0) into 0 8.170 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 8.170 * [backup-simplify]: Simplify (+ 0 0) into 0 8.170 * [taylor]: Taking taylor expansion of 0 in im 8.170 * [backup-simplify]: Simplify 0 into 0 8.170 * [backup-simplify]: Simplify 0 into 0 8.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.172 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 8.172 * [backup-simplify]: Simplify 0 into 0 8.172 * [backup-simplify]: Simplify 0 into 0 8.172 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 8.173 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 8.173 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 8.173 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 8.173 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.173 * [taylor]: Taking taylor expansion of re in im 8.173 * [backup-simplify]: Simplify re into re 8.173 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.173 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 8.173 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 8.173 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.173 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.173 * [taylor]: Taking taylor expansion of im in im 8.173 * [backup-simplify]: Simplify 0 into 0 8.173 * [backup-simplify]: Simplify 1 into 1 8.174 * [backup-simplify]: Simplify (* 1 1) into 1 8.174 * [backup-simplify]: Simplify (/ 1 1) into 1 8.174 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 8.174 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.174 * [taylor]: Taking taylor expansion of re in im 8.174 * [backup-simplify]: Simplify re into re 8.174 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.175 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 8.175 * [backup-simplify]: Simplify (+ 1 0) into 1 8.175 * [backup-simplify]: Simplify (sqrt 1) into 1 8.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.177 * [backup-simplify]: Simplify (+ 0 0) into 0 8.178 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.178 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 8.178 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.178 * [taylor]: Taking taylor expansion of re in re 8.178 * [backup-simplify]: Simplify 0 into 0 8.178 * [backup-simplify]: Simplify 1 into 1 8.178 * [backup-simplify]: Simplify (/ 1 1) into 1 8.178 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 8.179 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 8.179 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.179 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.179 * [taylor]: Taking taylor expansion of im in re 8.179 * [backup-simplify]: Simplify im into im 8.179 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.179 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.179 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.179 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.179 * [taylor]: Taking taylor expansion of re in re 8.179 * [backup-simplify]: Simplify 0 into 0 8.179 * [backup-simplify]: Simplify 1 into 1 8.179 * [backup-simplify]: Simplify (* 1 1) into 1 8.180 * [backup-simplify]: Simplify (/ 1 1) into 1 8.180 * [backup-simplify]: Simplify (+ 0 1) into 1 8.181 * [backup-simplify]: Simplify (sqrt 1) into 1 8.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.182 * [backup-simplify]: Simplify (+ 0 0) into 0 8.183 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.183 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 8.183 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.183 * [taylor]: Taking taylor expansion of re in re 8.183 * [backup-simplify]: Simplify 0 into 0 8.183 * [backup-simplify]: Simplify 1 into 1 8.184 * [backup-simplify]: Simplify (/ 1 1) into 1 8.184 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 8.184 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 8.184 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.184 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.184 * [taylor]: Taking taylor expansion of im in re 8.184 * [backup-simplify]: Simplify im into im 8.184 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.184 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.184 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.184 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.184 * [taylor]: Taking taylor expansion of re in re 8.184 * [backup-simplify]: Simplify 0 into 0 8.184 * [backup-simplify]: Simplify 1 into 1 8.185 * [backup-simplify]: Simplify (* 1 1) into 1 8.185 * [backup-simplify]: Simplify (/ 1 1) into 1 8.185 * [backup-simplify]: Simplify (+ 0 1) into 1 8.186 * [backup-simplify]: Simplify (sqrt 1) into 1 8.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.188 * [backup-simplify]: Simplify (+ 0 0) into 0 8.188 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.189 * [backup-simplify]: Simplify (+ 1 1) into 2 8.189 * [taylor]: Taking taylor expansion of 2 in im 8.189 * [backup-simplify]: Simplify 2 into 2 8.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.190 * [backup-simplify]: Simplify (+ 0 0) into 0 8.190 * [taylor]: Taking taylor expansion of 0 in im 8.190 * [backup-simplify]: Simplify 0 into 0 8.190 * [backup-simplify]: Simplify 2 into 2 8.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.193 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 8.194 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.194 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 8.194 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 8.194 * [taylor]: Taking taylor expansion of 1/2 in im 8.194 * [backup-simplify]: Simplify 1/2 into 1/2 8.194 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.194 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.194 * [taylor]: Taking taylor expansion of im in im 8.194 * [backup-simplify]: Simplify 0 into 0 8.194 * [backup-simplify]: Simplify 1 into 1 8.195 * [backup-simplify]: Simplify (* 1 1) into 1 8.195 * [backup-simplify]: Simplify (/ 1 1) into 1 8.195 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.196 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.196 * [backup-simplify]: Simplify 0 into 0 8.196 * [backup-simplify]: Simplify 0 into 0 8.196 * [backup-simplify]: Simplify 0 into 0 8.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.197 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.197 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 8.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.199 * [backup-simplify]: Simplify (+ 0 0) into 0 8.199 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 8.199 * [backup-simplify]: Simplify (+ 0 0) into 0 8.199 * [taylor]: Taking taylor expansion of 0 in im 8.199 * [backup-simplify]: Simplify 0 into 0 8.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.201 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 8.201 * [backup-simplify]: Simplify 0 into 0 8.201 * [backup-simplify]: Simplify 0 into 0 8.201 * [backup-simplify]: Simplify 0 into 0 8.201 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 8.201 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 8.201 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 8.201 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 8.201 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 8.201 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 8.201 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.201 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.201 * [taylor]: Taking taylor expansion of im in im 8.201 * [backup-simplify]: Simplify 0 into 0 8.201 * [backup-simplify]: Simplify 1 into 1 8.202 * [backup-simplify]: Simplify (* 1 1) into 1 8.202 * [backup-simplify]: Simplify (/ 1 1) into 1 8.202 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 8.202 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.202 * [taylor]: Taking taylor expansion of re in im 8.202 * [backup-simplify]: Simplify re into re 8.202 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.202 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 8.203 * [backup-simplify]: Simplify (+ 1 0) into 1 8.203 * [backup-simplify]: Simplify (sqrt 1) into 1 8.203 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.204 * [backup-simplify]: Simplify (+ 0 0) into 0 8.204 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.204 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.204 * [taylor]: Taking taylor expansion of re in im 8.204 * [backup-simplify]: Simplify re into re 8.204 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.204 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 8.204 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 8.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 8.204 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.204 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.204 * [taylor]: Taking taylor expansion of im in re 8.204 * [backup-simplify]: Simplify im into im 8.205 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.205 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.205 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.205 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.205 * [taylor]: Taking taylor expansion of re in re 8.205 * [backup-simplify]: Simplify 0 into 0 8.205 * [backup-simplify]: Simplify 1 into 1 8.205 * [backup-simplify]: Simplify (* 1 1) into 1 8.205 * [backup-simplify]: Simplify (/ 1 1) into 1 8.205 * [backup-simplify]: Simplify (+ 0 1) into 1 8.206 * [backup-simplify]: Simplify (sqrt 1) into 1 8.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.207 * [backup-simplify]: Simplify (+ 0 0) into 0 8.207 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.207 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.207 * [taylor]: Taking taylor expansion of re in re 8.207 * [backup-simplify]: Simplify 0 into 0 8.207 * [backup-simplify]: Simplify 1 into 1 8.207 * [backup-simplify]: Simplify (/ 1 1) into 1 8.208 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 8.208 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 8.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 8.208 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.208 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.208 * [taylor]: Taking taylor expansion of im in re 8.208 * [backup-simplify]: Simplify im into im 8.208 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.208 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.208 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.208 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.208 * [taylor]: Taking taylor expansion of re in re 8.208 * [backup-simplify]: Simplify 0 into 0 8.208 * [backup-simplify]: Simplify 1 into 1 8.208 * [backup-simplify]: Simplify (* 1 1) into 1 8.208 * [backup-simplify]: Simplify (/ 1 1) into 1 8.209 * [backup-simplify]: Simplify (+ 0 1) into 1 8.209 * [backup-simplify]: Simplify (sqrt 1) into 1 8.209 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.210 * [backup-simplify]: Simplify (+ 0 0) into 0 8.210 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.210 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.210 * [taylor]: Taking taylor expansion of re in re 8.210 * [backup-simplify]: Simplify 0 into 0 8.210 * [backup-simplify]: Simplify 1 into 1 8.211 * [backup-simplify]: Simplify (/ 1 1) into 1 8.211 * [backup-simplify]: Simplify (- 1) into -1 8.211 * [backup-simplify]: Simplify (+ 1 -1) into 0 8.211 * [taylor]: Taking taylor expansion of 0 in im 8.211 * [backup-simplify]: Simplify 0 into 0 8.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.212 * [backup-simplify]: Simplify (- 0) into 0 8.212 * [backup-simplify]: Simplify (+ 0 0) into 0 8.212 * [taylor]: Taking taylor expansion of 0 in im 8.212 * [backup-simplify]: Simplify 0 into 0 8.212 * [backup-simplify]: Simplify 0 into 0 8.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.213 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 8.214 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.215 * [backup-simplify]: Simplify (- 0) into 0 8.215 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 8.215 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 8.215 * [taylor]: Taking taylor expansion of 1/2 in im 8.215 * [backup-simplify]: Simplify 1/2 into 1/2 8.215 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.215 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.215 * [taylor]: Taking taylor expansion of im in im 8.215 * [backup-simplify]: Simplify 0 into 0 8.215 * [backup-simplify]: Simplify 1 into 1 8.215 * [backup-simplify]: Simplify (* 1 1) into 1 8.216 * [backup-simplify]: Simplify (/ 1 1) into 1 8.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.217 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.217 * [backup-simplify]: Simplify 0 into 0 8.217 * [backup-simplify]: Simplify 0 into 0 8.217 * [backup-simplify]: Simplify 0 into 0 8.217 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.217 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 8.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.219 * [backup-simplify]: Simplify (+ 0 0) into 0 8.219 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 8.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.220 * [backup-simplify]: Simplify (- 0) into 0 8.220 * [backup-simplify]: Simplify (+ 0 0) into 0 8.220 * [taylor]: Taking taylor expansion of 0 in im 8.220 * [backup-simplify]: Simplify 0 into 0 8.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.222 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 8.222 * [backup-simplify]: Simplify 0 into 0 8.222 * [backup-simplify]: Simplify 0 into 0 8.222 * [backup-simplify]: Simplify 0 into 0 8.222 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 8.222 * [backup-simplify]: Simplify (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) into (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) 8.222 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in (im re) around 0 8.222 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in re 8.222 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re 8.222 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.222 * [taylor]: Taking taylor expansion of 2.0 in re 8.222 * [backup-simplify]: Simplify 2.0 into 2.0 8.223 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.223 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.223 * [taylor]: Taking taylor expansion of im in re 8.223 * [backup-simplify]: Simplify im into im 8.223 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 8.223 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 8.223 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 8.223 * [taylor]: Taking taylor expansion of re in re 8.223 * [backup-simplify]: Simplify 0 into 0 8.223 * [backup-simplify]: Simplify 1 into 1 8.223 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 8.223 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 8.223 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.223 * [taylor]: Taking taylor expansion of re in re 8.223 * [backup-simplify]: Simplify 0 into 0 8.223 * [backup-simplify]: Simplify 1 into 1 8.223 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.223 * [taylor]: Taking taylor expansion of im in re 8.223 * [backup-simplify]: Simplify im into im 8.223 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.223 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 8.224 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.224 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.224 * [backup-simplify]: Simplify (+ 0 0) into 0 8.224 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.224 * [backup-simplify]: Simplify (+ 0 im) into im 8.224 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 8.224 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im)) 8.224 * [backup-simplify]: Simplify (+ 1 0) into 1 8.225 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 1 im)))) into (- (/ 1 (pow im 2))) 8.225 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2))) (* 2 (sqrt (/ 1 im)))) into (* -1/2 (sqrt (/ 1 (pow im 3)))) 8.225 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 8.225 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 8.225 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 8.225 * [taylor]: Taking taylor expansion of 2.0 in im 8.225 * [backup-simplify]: Simplify 2.0 into 2.0 8.225 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.226 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.226 * [taylor]: Taking taylor expansion of im in im 8.226 * [backup-simplify]: Simplify 0 into 0 8.226 * [backup-simplify]: Simplify 1 into 1 8.226 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 8.226 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 8.226 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 8.226 * [taylor]: Taking taylor expansion of re in im 8.226 * [backup-simplify]: Simplify re into re 8.226 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 8.226 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 8.226 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.226 * [taylor]: Taking taylor expansion of re in im 8.226 * [backup-simplify]: Simplify re into re 8.226 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.226 * [taylor]: Taking taylor expansion of im in im 8.226 * [backup-simplify]: Simplify 0 into 0 8.226 * [backup-simplify]: Simplify 1 into 1 8.226 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.226 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 8.226 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 8.227 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 8.227 * [backup-simplify]: Simplify (+ 0 0) into 0 8.227 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 8.227 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 8.227 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 8.227 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 8.228 * [backup-simplify]: Simplify (+ 0 0) into 0 8.228 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 8.228 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 8.228 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 8.228 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 8.228 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 8.228 * [taylor]: Taking taylor expansion of 2.0 in im 8.228 * [backup-simplify]: Simplify 2.0 into 2.0 8.229 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.230 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.230 * [taylor]: Taking taylor expansion of im in im 8.230 * [backup-simplify]: Simplify 0 into 0 8.230 * [backup-simplify]: Simplify 1 into 1 8.230 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 8.230 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 8.230 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 8.230 * [taylor]: Taking taylor expansion of re in im 8.230 * [backup-simplify]: Simplify re into re 8.230 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 8.230 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 8.230 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.230 * [taylor]: Taking taylor expansion of re in im 8.230 * [backup-simplify]: Simplify re into re 8.230 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.230 * [taylor]: Taking taylor expansion of im in im 8.230 * [backup-simplify]: Simplify 0 into 0 8.230 * [backup-simplify]: Simplify 1 into 1 8.230 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.230 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 8.231 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 8.231 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 8.231 * [backup-simplify]: Simplify (+ 0 0) into 0 8.231 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 8.231 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 8.231 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 8.232 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 8.232 * [backup-simplify]: Simplify (+ 0 0) into 0 8.232 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 8.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 8.233 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 8.233 * [backup-simplify]: Simplify (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2))) into 0 8.233 * [taylor]: Taking taylor expansion of 0 in re 8.233 * [backup-simplify]: Simplify 0 into 0 8.233 * [backup-simplify]: Simplify 0 into 0 8.236 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0) 8.237 * [backup-simplify]: Simplify (+ (* 0 0) (* (sqrt 2.0) (* (sqrt (/ 1 re)) (sqrt 1/2)))) into (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re))) 8.237 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re))) in re 8.237 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 1/2)) in re 8.237 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.237 * [taylor]: Taking taylor expansion of 2.0 in re 8.237 * [backup-simplify]: Simplify 2.0 into 2.0 8.237 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.238 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.238 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 8.238 * [taylor]: Taking taylor expansion of 1/2 in re 8.238 * [backup-simplify]: Simplify 1/2 into 1/2 8.239 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 8.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 8.239 * [taylor]: Taking taylor expansion of (sqrt (/ 1 re)) in re 8.239 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.240 * [taylor]: Taking taylor expansion of re in re 8.240 * [backup-simplify]: Simplify 0 into 0 8.240 * [backup-simplify]: Simplify 1 into 1 8.240 * [backup-simplify]: Simplify (/ 1 1) into 1 8.240 * [backup-simplify]: Simplify (sqrt 0) into 0 8.242 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.243 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 1/2)) into (* (sqrt 2.0) (sqrt 1/2)) 8.244 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 1/2))) into 0 8.249 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 8.252 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 8.252 * [backup-simplify]: Simplify 0 into 0 8.253 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 8.253 * [backup-simplify]: Simplify (* 1 1) into 1 8.254 * [backup-simplify]: Simplify (+ 0 1) into 1 8.254 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 8.254 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re)) 8.255 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ (* 1/2 (/ 1 re)) (* 2 re))) (* 0 (/ 0 (* 2 re))))) into (- (* 1/8 (/ 1 (pow re 3)))) 8.256 * [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)))) 8.258 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 8.259 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0 8.261 * [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 8.261 * [taylor]: Taking taylor expansion of 0 in re 8.261 * [backup-simplify]: Simplify 0 into 0 8.261 * [backup-simplify]: Simplify 0 into 0 8.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.265 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.266 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 8.268 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 8.269 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 8.273 * [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)))) 8.277 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 8.277 * [backup-simplify]: Simplify 0 into 0 8.278 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 8.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.279 * [backup-simplify]: Simplify (+ 0 0) into 0 8.279 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 8.279 * [backup-simplify]: Simplify (+ 0 0) into 0 8.280 * [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 8.282 * [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 8.283 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 8.284 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.287 * [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)))))) 8.287 * [taylor]: Taking taylor expansion of (- (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) in re 8.287 * [taylor]: Taking taylor expansion of (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5))))) in re 8.287 * [taylor]: Taking taylor expansion of 1/16 in re 8.287 * [backup-simplify]: Simplify 1/16 into 1/16 8.287 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))) in re 8.287 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 1/2)) in re 8.287 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.288 * [taylor]: Taking taylor expansion of 2.0 in re 8.288 * [backup-simplify]: Simplify 2.0 into 2.0 8.288 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.289 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.289 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 8.289 * [taylor]: Taking taylor expansion of 1/2 in re 8.289 * [backup-simplify]: Simplify 1/2 into 1/2 8.289 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 8.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 8.299 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt 1/2)) into (/ (sqrt 2.0) (sqrt 1/2)) 8.299 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 5))) in re 8.299 * [taylor]: Taking taylor expansion of (/ 1 (pow re 5)) in re 8.299 * [taylor]: Taking taylor expansion of (pow re 5) in re 8.299 * [taylor]: Taking taylor expansion of re in re 8.299 * [backup-simplify]: Simplify 0 into 0 8.299 * [backup-simplify]: Simplify 1 into 1 8.300 * [backup-simplify]: Simplify (* 1 1) into 1 8.300 * [backup-simplify]: Simplify (* 1 1) into 1 8.301 * [backup-simplify]: Simplify (* 1 1) into 1 8.301 * [backup-simplify]: Simplify (/ 1 1) into 1 8.302 * [backup-simplify]: Simplify (sqrt 0) into 0 8.303 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.312 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.316 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.318 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))))) into 0 8.319 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 8.320 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 8.322 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0 8.323 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 8.324 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 8.326 * [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 8.330 * [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)))) 8.333 * [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)))) 8.335 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 8.336 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (sqrt 1/2)) 0) into 0 8.341 * [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)))) 8.344 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 8.346 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 8.352 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) (pow (* 1 im) 3)) (+ (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) (* re im)) (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) (* 1 im)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) (* im re)))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) im))) (- (* +nan.0 (/ (* (sqrt 2.0) (pow im 3)) (sqrt 1/2)))))))) 8.353 * [backup-simplify]: Simplify (/ (sqrt (* 2.0 (* (/ 1 im) (/ 1 im)))) (sqrt (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) 8.353 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in (im re) around 0 8.353 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re 8.353 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 8.353 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.353 * [taylor]: Taking taylor expansion of 2.0 in re 8.353 * [backup-simplify]: Simplify 2.0 into 2.0 8.353 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.353 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.353 * [taylor]: Taking taylor expansion of im in re 8.354 * [backup-simplify]: Simplify im into im 8.354 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 8.354 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 8.354 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 8.354 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 8.354 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.354 * [taylor]: Taking taylor expansion of re in re 8.354 * [backup-simplify]: Simplify 0 into 0 8.354 * [backup-simplify]: Simplify 1 into 1 8.354 * [backup-simplify]: Simplify (/ 1 1) into 1 8.354 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 8.354 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 8.354 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.354 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.354 * [taylor]: Taking taylor expansion of im in re 8.354 * [backup-simplify]: Simplify im into im 8.354 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.354 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.354 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.355 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.355 * [taylor]: Taking taylor expansion of re in re 8.355 * [backup-simplify]: Simplify 0 into 0 8.355 * [backup-simplify]: Simplify 1 into 1 8.355 * [backup-simplify]: Simplify (* 1 1) into 1 8.355 * [backup-simplify]: Simplify (/ 1 1) into 1 8.355 * [backup-simplify]: Simplify (+ 0 1) into 1 8.356 * [backup-simplify]: Simplify (sqrt 1) into 1 8.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.357 * [backup-simplify]: Simplify (+ 0 0) into 0 8.357 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.357 * [backup-simplify]: Simplify (+ 1 1) into 2 8.358 * [backup-simplify]: Simplify (/ 1 2) into 1/2 8.358 * [backup-simplify]: Simplify (sqrt 0) into 0 8.359 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0 8.359 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 8.359 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 8.359 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 8.359 * [taylor]: Taking taylor expansion of 2.0 in im 8.359 * [backup-simplify]: Simplify 2.0 into 2.0 8.359 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.360 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.360 * [taylor]: Taking taylor expansion of im in im 8.360 * [backup-simplify]: Simplify 0 into 0 8.360 * [backup-simplify]: Simplify 1 into 1 8.360 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 8.360 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 8.360 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 8.360 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 8.360 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.360 * [taylor]: Taking taylor expansion of re in im 8.360 * [backup-simplify]: Simplify re into re 8.360 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.360 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 8.360 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 8.360 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.360 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.360 * [taylor]: Taking taylor expansion of im in im 8.360 * [backup-simplify]: Simplify 0 into 0 8.360 * [backup-simplify]: Simplify 1 into 1 8.361 * [backup-simplify]: Simplify (* 1 1) into 1 8.361 * [backup-simplify]: Simplify (/ 1 1) into 1 8.361 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 8.361 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.361 * [taylor]: Taking taylor expansion of re in im 8.361 * [backup-simplify]: Simplify re into re 8.361 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.361 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 8.361 * [backup-simplify]: Simplify (+ 1 0) into 1 8.362 * [backup-simplify]: Simplify (sqrt 1) into 1 8.362 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.363 * [backup-simplify]: Simplify (+ 0 0) into 0 8.363 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.363 * [backup-simplify]: Simplify (+ 0 1) into 1 8.364 * [backup-simplify]: Simplify (/ 1 1) into 1 8.364 * [backup-simplify]: Simplify (sqrt 0) into 0 8.365 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.365 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 8.365 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 8.365 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 8.365 * [taylor]: Taking taylor expansion of 2.0 in im 8.365 * [backup-simplify]: Simplify 2.0 into 2.0 8.365 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.365 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.365 * [taylor]: Taking taylor expansion of im in im 8.366 * [backup-simplify]: Simplify 0 into 0 8.366 * [backup-simplify]: Simplify 1 into 1 8.366 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 8.366 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 8.366 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 8.366 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 8.366 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.366 * [taylor]: Taking taylor expansion of re in im 8.366 * [backup-simplify]: Simplify re into re 8.366 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.366 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 8.366 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 8.366 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.366 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.366 * [taylor]: Taking taylor expansion of im in im 8.366 * [backup-simplify]: Simplify 0 into 0 8.366 * [backup-simplify]: Simplify 1 into 1 8.367 * [backup-simplify]: Simplify (* 1 1) into 1 8.367 * [backup-simplify]: Simplify (/ 1 1) into 1 8.367 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 8.367 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.367 * [taylor]: Taking taylor expansion of re in im 8.367 * [backup-simplify]: Simplify re into re 8.367 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.367 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 8.367 * [backup-simplify]: Simplify (+ 1 0) into 1 8.368 * [backup-simplify]: Simplify (sqrt 1) into 1 8.368 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.369 * [backup-simplify]: Simplify (+ 0 0) into 0 8.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.370 * [backup-simplify]: Simplify (+ 0 1) into 1 8.370 * [backup-simplify]: Simplify (/ 1 1) into 1 8.370 * [backup-simplify]: Simplify (sqrt 0) into 0 8.371 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.371 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 8.371 * [taylor]: Taking taylor expansion of 0 in re 8.371 * [backup-simplify]: Simplify 0 into 0 8.371 * [backup-simplify]: Simplify 0 into 0 8.372 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 8.373 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 8.373 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 8.373 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 8.373 * [taylor]: Taking taylor expansion of +nan.0 in re 8.373 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.373 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.373 * [taylor]: Taking taylor expansion of 2.0 in re 8.373 * [backup-simplify]: Simplify 2.0 into 2.0 8.374 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.374 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.375 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 8.375 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 8.376 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 8.376 * [backup-simplify]: Simplify 0 into 0 8.377 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 8.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 8.377 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0))) 8.378 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 8.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.380 * [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))))) 8.380 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 8.380 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 8.380 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 8.380 * [taylor]: Taking taylor expansion of +nan.0 in re 8.380 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.380 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.380 * [taylor]: Taking taylor expansion of 2.0 in re 8.380 * [backup-simplify]: Simplify 2.0 into 2.0 8.380 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.381 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 8.381 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 8.381 * [taylor]: Taking taylor expansion of +nan.0 in re 8.381 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.381 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 8.381 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.381 * [taylor]: Taking taylor expansion of 2.0 in re 8.381 * [backup-simplify]: Simplify 2.0 into 2.0 8.381 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.381 * [taylor]: Taking taylor expansion of re in re 8.381 * [backup-simplify]: Simplify 0 into 0 8.381 * [backup-simplify]: Simplify 1 into 1 8.382 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 8.383 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 8.383 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 8.384 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 8.384 * [backup-simplify]: Simplify (- 0) into 0 8.385 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 8.386 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 8.387 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 8.388 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 8.388 * [backup-simplify]: Simplify (- 0) into 0 8.388 * [backup-simplify]: Simplify 0 into 0 8.388 * [backup-simplify]: Simplify 0 into 0 8.388 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 8.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.389 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 8.390 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 8.390 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 8.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 8.391 * [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)))) 8.392 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 8.393 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.394 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 8.394 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re 8.395 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re 8.395 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 8.395 * [taylor]: Taking taylor expansion of +nan.0 in re 8.395 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.395 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.395 * [taylor]: Taking taylor expansion of 2.0 in re 8.395 * [backup-simplify]: Simplify 2.0 into 2.0 8.395 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.395 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.395 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 8.395 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 8.395 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 8.395 * [taylor]: Taking taylor expansion of +nan.0 in re 8.395 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.395 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 8.396 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.396 * [taylor]: Taking taylor expansion of 2.0 in re 8.396 * [backup-simplify]: Simplify 2.0 into 2.0 8.396 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.396 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.396 * [taylor]: Taking taylor expansion of re in re 8.396 * [backup-simplify]: Simplify 0 into 0 8.396 * [backup-simplify]: Simplify 1 into 1 8.397 * [backup-simplify]: Simplify (* 1 1) into 1 8.397 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 8.397 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 8.397 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 8.397 * [taylor]: Taking taylor expansion of +nan.0 in re 8.397 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.397 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 8.397 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.397 * [taylor]: Taking taylor expansion of 2.0 in re 8.397 * [backup-simplify]: Simplify 2.0 into 2.0 8.398 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.398 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.398 * [taylor]: Taking taylor expansion of re in re 8.398 * [backup-simplify]: Simplify 0 into 0 8.398 * [backup-simplify]: Simplify 1 into 1 8.405 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 8.405 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 8.406 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 8.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.408 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 8.408 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.409 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 8.410 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 8.410 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 8.410 * [backup-simplify]: Simplify (- 0) into 0 8.411 * [backup-simplify]: Simplify (+ 0 0) into 0 8.411 * [backup-simplify]: Simplify (- 0) into 0 8.412 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 8.413 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 8.414 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 8.417 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 im)) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 im))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (sqrt 2.0))))))) 8.418 * [backup-simplify]: Simplify (/ (sqrt (* 2.0 (* (/ 1 (- im)) (/ 1 (- im))))) (sqrt (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) 8.418 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in (im re) around 0 8.418 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in re 8.418 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 8.418 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.418 * [taylor]: Taking taylor expansion of 2.0 in re 8.418 * [backup-simplify]: Simplify 2.0 into 2.0 8.418 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.419 * [taylor]: Taking taylor expansion of im in re 8.419 * [backup-simplify]: Simplify im into im 8.419 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 8.419 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 8.419 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 8.419 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 8.419 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 8.419 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 8.419 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.419 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.419 * [taylor]: Taking taylor expansion of im in re 8.419 * [backup-simplify]: Simplify im into im 8.419 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.420 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.420 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.420 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.420 * [taylor]: Taking taylor expansion of re in re 8.420 * [backup-simplify]: Simplify 0 into 0 8.420 * [backup-simplify]: Simplify 1 into 1 8.420 * [backup-simplify]: Simplify (* 1 1) into 1 8.420 * [backup-simplify]: Simplify (/ 1 1) into 1 8.420 * [backup-simplify]: Simplify (+ 0 1) into 1 8.421 * [backup-simplify]: Simplify (sqrt 1) into 1 8.421 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.422 * [backup-simplify]: Simplify (+ 0 0) into 0 8.422 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.422 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.422 * [taylor]: Taking taylor expansion of re in re 8.422 * [backup-simplify]: Simplify 0 into 0 8.422 * [backup-simplify]: Simplify 1 into 1 8.422 * [backup-simplify]: Simplify (/ 1 1) into 1 8.423 * [backup-simplify]: Simplify (- 1) into -1 8.423 * [backup-simplify]: Simplify (+ 1 -1) into 0 8.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.423 * [backup-simplify]: Simplify (- 0) into 0 8.424 * [backup-simplify]: Simplify (+ 0 0) into 0 8.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.425 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 8.426 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.427 * [backup-simplify]: Simplify (- 0) into 0 8.428 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 8.428 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2)) 8.428 * [backup-simplify]: Simplify (sqrt 0) into 0 8.429 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2)) 8.429 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 8.429 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 8.429 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 8.429 * [taylor]: Taking taylor expansion of 2.0 in im 8.429 * [backup-simplify]: Simplify 2.0 into 2.0 8.430 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.430 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.430 * [taylor]: Taking taylor expansion of im in im 8.430 * [backup-simplify]: Simplify 0 into 0 8.430 * [backup-simplify]: Simplify 1 into 1 8.431 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 8.431 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 8.431 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 8.431 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 8.432 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 8.432 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 8.432 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.432 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.432 * [taylor]: Taking taylor expansion of im in im 8.432 * [backup-simplify]: Simplify 0 into 0 8.432 * [backup-simplify]: Simplify 1 into 1 8.432 * [backup-simplify]: Simplify (* 1 1) into 1 8.432 * [backup-simplify]: Simplify (/ 1 1) into 1 8.433 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 8.433 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.433 * [taylor]: Taking taylor expansion of re in im 8.433 * [backup-simplify]: Simplify re into re 8.433 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.433 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 8.433 * [backup-simplify]: Simplify (+ 1 0) into 1 8.434 * [backup-simplify]: Simplify (sqrt 1) into 1 8.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.435 * [backup-simplify]: Simplify (+ 0 0) into 0 8.436 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.436 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.436 * [taylor]: Taking taylor expansion of re in im 8.436 * [backup-simplify]: Simplify re into re 8.436 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.437 * [backup-simplify]: Simplify (+ 1 0) into 1 8.437 * [backup-simplify]: Simplify (/ 1 1) into 1 8.438 * [backup-simplify]: Simplify (sqrt 0) into 0 8.439 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.439 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 8.439 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 8.439 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 8.439 * [taylor]: Taking taylor expansion of 2.0 in im 8.439 * [backup-simplify]: Simplify 2.0 into 2.0 8.440 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.440 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.440 * [taylor]: Taking taylor expansion of im in im 8.440 * [backup-simplify]: Simplify 0 into 0 8.440 * [backup-simplify]: Simplify 1 into 1 8.441 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 8.441 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 8.441 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 8.441 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 8.441 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 8.441 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 8.441 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.442 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.442 * [taylor]: Taking taylor expansion of im in im 8.442 * [backup-simplify]: Simplify 0 into 0 8.442 * [backup-simplify]: Simplify 1 into 1 8.442 * [backup-simplify]: Simplify (* 1 1) into 1 8.442 * [backup-simplify]: Simplify (/ 1 1) into 1 8.442 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 8.442 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.442 * [taylor]: Taking taylor expansion of re in im 8.443 * [backup-simplify]: Simplify re into re 8.443 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.443 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 8.443 * [backup-simplify]: Simplify (+ 1 0) into 1 8.444 * [backup-simplify]: Simplify (sqrt 1) into 1 8.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.445 * [backup-simplify]: Simplify (+ 0 0) into 0 8.446 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.446 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.446 * [taylor]: Taking taylor expansion of re in im 8.446 * [backup-simplify]: Simplify re into re 8.446 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.447 * [backup-simplify]: Simplify (+ 1 0) into 1 8.447 * [backup-simplify]: Simplify (/ 1 1) into 1 8.448 * [backup-simplify]: Simplify (sqrt 0) into 0 8.449 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.450 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 8.450 * [taylor]: Taking taylor expansion of 0 in re 8.450 * [backup-simplify]: Simplify 0 into 0 8.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 8.453 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 8.453 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 8.453 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 8.453 * [taylor]: Taking taylor expansion of +nan.0 in re 8.453 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.453 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.453 * [taylor]: Taking taylor expansion of 2.0 in re 8.453 * [backup-simplify]: Simplify 2.0 into 2.0 8.454 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.455 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.455 * [backup-simplify]: Simplify 0 into 0 8.455 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 8.455 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 8.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 8.456 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0)) 8.458 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 8.459 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.460 * [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))))) 8.460 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 8.460 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 8.460 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 8.460 * [taylor]: Taking taylor expansion of +nan.0 in re 8.460 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.460 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.460 * [taylor]: Taking taylor expansion of 2.0 in re 8.460 * [backup-simplify]: Simplify 2.0 into 2.0 8.461 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.461 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.461 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 8.461 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 8.461 * [taylor]: Taking taylor expansion of +nan.0 in re 8.461 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.461 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 8.462 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.462 * [taylor]: Taking taylor expansion of 2.0 in re 8.462 * [backup-simplify]: Simplify 2.0 into 2.0 8.462 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.463 * [taylor]: Taking taylor expansion of re in re 8.463 * [backup-simplify]: Simplify 0 into 0 8.463 * [backup-simplify]: Simplify 1 into 1 8.464 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 8.464 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 8.466 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 8.469 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 8.471 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 8.473 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 8.474 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 8.475 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 8.477 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 8.477 * [backup-simplify]: Simplify 0 into 0 8.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.479 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 8.481 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 8.481 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 8.481 * [backup-simplify]: Simplify (- 0) into 0 8.482 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 8.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 8.483 * [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)))) 8.484 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 8.486 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.487 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 8.487 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re 8.487 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re 8.487 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 8.487 * [taylor]: Taking taylor expansion of +nan.0 in re 8.487 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.487 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.487 * [taylor]: Taking taylor expansion of 2.0 in re 8.487 * [backup-simplify]: Simplify 2.0 into 2.0 8.487 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.488 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.488 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 8.488 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 8.488 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 8.488 * [taylor]: Taking taylor expansion of +nan.0 in re 8.488 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.488 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 8.488 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.488 * [taylor]: Taking taylor expansion of 2.0 in re 8.488 * [backup-simplify]: Simplify 2.0 into 2.0 8.488 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.489 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.489 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.489 * [taylor]: Taking taylor expansion of re in re 8.489 * [backup-simplify]: Simplify 0 into 0 8.489 * [backup-simplify]: Simplify 1 into 1 8.489 * [backup-simplify]: Simplify (* 1 1) into 1 8.490 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 8.490 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 8.490 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 8.490 * [taylor]: Taking taylor expansion of +nan.0 in re 8.490 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.490 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 8.490 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.490 * [taylor]: Taking taylor expansion of 2.0 in re 8.490 * [backup-simplify]: Simplify 2.0 into 2.0 8.490 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.490 * [taylor]: Taking taylor expansion of re in re 8.490 * [backup-simplify]: Simplify 0 into 0 8.491 * [backup-simplify]: Simplify 1 into 1 8.491 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 8.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 8.492 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 8.493 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 8.494 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 8.495 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 8.497 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 8.498 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 8.499 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 8.500 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 8.503 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 (- re))) (pow (/ 1 (- im)) 2))) (+ (- (* +nan.0 (sqrt 2.0))) (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 (- re))) (/ 1 (- im)))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2)))))))) 8.504 * * * [progress]: simplifying candidates 8.505 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (* 2.0 (* im im)))) (exp (sqrt (* 2.0 (* im im)))) (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (cbrt (sqrt (* 2.0 (* im im)))) (* (* (sqrt (* 2.0 (* im im))) (sqrt (* 2.0 (* im im)))) (sqrt (* 2.0 (* im im)))) (sqrt 2.0) (sqrt (* im im)) (/ 1 2) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (* 2.0 (* im im)))) (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* 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1)) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt 1)) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) 1) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ 1 (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (sqrt (* 2.0 (* im im))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ 1 (sqrt (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (sqrt (* 2.0 (* im im))) (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ 1 (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ 1 (sqrt 1)) (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ 1 (sqrt 1)) (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ 1 (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ 1 1) (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ 1 (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (* im im)))) (/ (sqrt (* 2.0 (* im im))) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (sqrt (* 2.0 (* im im))) (sqrt (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* 2.0 (* im im))) (sqrt 1)) (/ (sqrt (* 2.0 (* im im))) (sqrt 1)) (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* 2.0 (* im im))) 1) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (sqrt (* 2.0 (* im im))))) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* im im))) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* 2.0 (* im im))))) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (* im im)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) im re (* -1 re) (* (sqrt 2.0) im) (* (sqrt 2.0) im) (* -1 (* (sqrt 2.0) im)) (+ re im) (* 2 re) 0 (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) (* im re)))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) im))) (- (* +nan.0 (/ (* (sqrt 2.0) (pow im 3)) (sqrt 1/2)))))))) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (sqrt 2.0))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2)))))))) 8.508 * * [simplify]: Extracting # 0 : cost 0 8.509 * * [simplify]: Extracting # 1 : cost 0 8.509 * * [simplify]: Extracting # 2 : cost 0 8.509 * * [simplify]: Extracting # 3 : cost 0 8.509 * * [simplify]: Extracting # 4 : cost 0 8.509 * * [simplify]: Extracting # 5 : cost 0 8.510 * * [simplify]: Extracting # 6 : cost 0 8.510 * * [simplify]: Extracting # 7 : cost 0 8.510 * * [simplify]: Extracting # 8 : cost 0 8.510 * * [simplify]: Extracting # 9 : cost 0 8.510 * * [simplify]: Extracting # 10 : cost 0 8.511 * * [simplify]: Extracting # 11 : cost 0 8.511 * * [simplify]: Extracting # 12 : cost 0 8.511 * * [simplify]: Extracting # 13 : cost 0 8.511 * * [simplify]: iteration 0 : 181 enodes (cost 2231 ) 8.553 * * [simplify]: Extracting # 0 : cost 0 8.554 * * [simplify]: Extracting # 1 : cost 0 8.554 * * [simplify]: Extracting # 2 : cost 0 8.554 * * [simplify]: Extracting # 3 : cost 0 8.555 * * [simplify]: Extracting # 4 : cost 0 8.555 * * [simplify]: iteration 1 : 387 enodes (cost 1998 ) 8.735 * * [simplify]: Extracting # 0 : cost 0 8.737 * * [simplify]: Extracting # 1 : cost 0 8.738 * * [simplify]: Extracting # 2 : cost 0 8.739 * * [simplify]: Extracting # 3 : cost 0 8.741 * * [simplify]: Extracting # 4 : cost 0 8.742 * * [simplify]: iteration 2 : 1067 enodes (cost 1907 ) 9.455 * * [simplify]: Extracting # 0 : cost 0 9.459 * * [simplify]: Extracting # 1 : cost 0 9.462 * * [simplify]: Extracting # 2 : cost 0 9.466 * * [simplify]: Extracting # 3 : cost 0 9.469 * * [simplify]: Extracting # 4 : cost 0 9.472 * * [simplify]: iteration 3 : 3181 enodes (cost 1877 ) 11.179 * * [simplify]: Extracting # 0 : cost 0 11.191 * * [simplify]: Extracting # 1 : cost 0 11.201 * * [simplify]: Extracting # 2 : cost 0 11.212 * * [simplify]: Extracting # 3 : cost 0 11.229 * * [simplify]: Extracting # 4 : cost 0 11.239 * * [simplify]: iteration done: 5000 enodes (cost 1871 ) 11.241 * [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)))) (pow (sqrt (+ (* re re) (* im im))) 3) (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 (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (* 2.0 (* im im)))) (exp (sqrt (* 2.0 (* im im)))) (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (cbrt (sqrt (* 2.0 (* im im)))) (pow (sqrt (* 2.0 (* im im))) 3) (sqrt 2.0) (fabs im) 1/2 1/2 1/2 (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (* 2.0 (* im im)))) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (pow (+ (sqrt (+ (* re re) (* im im))) re) 3) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (pow im 2) (* re (+ re (- re (sqrt (+ (* re re) (* im im))))))) (pow im 2) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) (log (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (log (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (pow (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) 3) (* (cbrt (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (pow (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) 3) (* (/ (* 2.0 im) (+ (sqrt (+ (* re re) (* im im))) re)) im) (sqrt (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (- (sqrt (* 2.0 (* im im)))) (- (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (/ (fabs (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (* 2.0 (* im im)))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt 2.0) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (fabs im) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt 2.0) (fabs (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt 2.0) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt 2.0) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (fabs (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ 1 (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (sqrt (* 2.0 (* im im))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ 1 (fabs (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ 1 (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) 1 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) 1 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ 1 (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) 1 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ 1 (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (* im im)))) (/ (sqrt (* 2.0 (* im im))) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (sqrt (* 2.0 (* im im))) (fabs (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (* im im))) (sqrt (* 2.0 (* im im))) (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (* im im))) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (sqrt (* 2.0 (* im im))))) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (fabs im)) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* 2.0 (* im im))))) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (* im im)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (/ (sqrt (* 2.0 (* im im))) (fabs im)) im re (- re) (* (sqrt 2.0) im) (* (sqrt 2.0) im) (- (* (sqrt 2.0) im)) (+ re im) (* 2 re) 0 (- (+ (* (* (* +nan.0 (sqrt 2.0)) (sqrt 1/2)) (- (* im re) im)) (* +nan.0 (/ (* (sqrt 2.0) (pow im 3)) (sqrt 1/2))))) (- (+ (* +nan.0 (sqrt 2.0)) (* (/ (sqrt 2.0) im) (- (/ +nan.0 im) +nan.0)))) (* +nan.0 (+ (- (sqrt 2.0)) (* (/ (sqrt 2.0) im) (- re (/ re im))))) 11.243 * * * [progress]: adding candidates to table 11.646 * * [progress]: iteration 4 / 4 11.646 * * * [progress]: picking best candidate 11.688 * * * * [pick]: Picked # 11.688 * * * [progress]: localizing error 11.726 * * * [progress]: generating rewritten candidates 11.726 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2 1 1) 11.740 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1) 11.788 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 11.966 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 12.042 * * * [progress]: generating series expansions 12.042 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2 1 1) 12.042 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 12.042 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 12.042 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 12.042 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 12.042 * [taylor]: Taking taylor expansion of (pow re 2) in im 12.042 * [taylor]: Taking taylor expansion of re in im 12.042 * [backup-simplify]: Simplify re into re 12.042 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.042 * [taylor]: Taking taylor expansion of im in im 12.042 * [backup-simplify]: Simplify 0 into 0 12.042 * [backup-simplify]: Simplify 1 into 1 12.042 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.042 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 12.042 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 12.043 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 12.043 * [backup-simplify]: Simplify (+ 0 0) into 0 12.043 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 12.043 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 12.043 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 12.043 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.043 * [taylor]: Taking taylor expansion of re in re 12.043 * [backup-simplify]: Simplify 0 into 0 12.043 * [backup-simplify]: Simplify 1 into 1 12.043 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.043 * [taylor]: Taking taylor expansion of im in re 12.043 * [backup-simplify]: Simplify im into im 12.043 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.044 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 12.044 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 12.044 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.044 * [backup-simplify]: Simplify (+ 0 0) into 0 12.044 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 12.044 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 12.044 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 12.044 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.044 * [taylor]: Taking taylor expansion of re in re 12.044 * [backup-simplify]: Simplify 0 into 0 12.044 * [backup-simplify]: Simplify 1 into 1 12.044 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.044 * [taylor]: Taking taylor expansion of im in re 12.044 * [backup-simplify]: Simplify im into im 12.044 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.044 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 12.045 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 12.045 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.045 * [backup-simplify]: Simplify (+ 0 0) into 0 12.045 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 12.045 * [taylor]: Taking taylor expansion of im in im 12.045 * [backup-simplify]: Simplify 0 into 0 12.045 * [backup-simplify]: Simplify 1 into 1 12.045 * [backup-simplify]: Simplify 0 into 0 12.045 * [taylor]: Taking taylor expansion of 0 in im 12.045 * [backup-simplify]: Simplify 0 into 0 12.045 * [backup-simplify]: Simplify 0 into 0 12.045 * [backup-simplify]: Simplify 1 into 1 12.045 * [backup-simplify]: Simplify (* 1 1) into 1 12.046 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 12.046 * [backup-simplify]: Simplify (+ 1 0) into 1 12.047 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 12.047 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 12.047 * [taylor]: Taking taylor expansion of 1/2 in im 12.047 * [backup-simplify]: Simplify 1/2 into 1/2 12.047 * [taylor]: Taking taylor expansion of im in im 12.047 * [backup-simplify]: Simplify 0 into 0 12.047 * [backup-simplify]: Simplify 1 into 1 12.048 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 12.049 * [backup-simplify]: Simplify 0 into 0 12.049 * [backup-simplify]: Simplify 0 into 0 12.049 * [backup-simplify]: Simplify 0 into 0 12.049 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.050 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 12.051 * [backup-simplify]: Simplify (+ 0 0) into 0 12.051 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 12.051 * [taylor]: Taking taylor expansion of 0 in im 12.051 * [backup-simplify]: Simplify 0 into 0 12.051 * [backup-simplify]: Simplify 0 into 0 12.052 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.052 * [backup-simplify]: Simplify 0 into 0 12.052 * [backup-simplify]: Simplify 0 into 0 12.052 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 12.053 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 12.053 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 12.053 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 12.053 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 12.053 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 12.053 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.053 * [taylor]: Taking taylor expansion of im in im 12.053 * [backup-simplify]: Simplify 0 into 0 12.053 * [backup-simplify]: Simplify 1 into 1 12.053 * [backup-simplify]: Simplify (* 1 1) into 1 12.054 * [backup-simplify]: Simplify (/ 1 1) into 1 12.054 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 12.054 * [taylor]: Taking taylor expansion of (pow re 2) in im 12.054 * [taylor]: Taking taylor expansion of re in im 12.054 * [backup-simplify]: Simplify re into re 12.054 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.054 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 12.054 * [backup-simplify]: Simplify (+ 1 0) into 1 12.055 * [backup-simplify]: Simplify (sqrt 1) into 1 12.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.057 * [backup-simplify]: Simplify (+ 0 0) into 0 12.058 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.058 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 12.058 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 12.058 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 12.058 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.058 * [taylor]: Taking taylor expansion of im in re 12.058 * [backup-simplify]: Simplify im into im 12.058 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.058 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 12.059 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 12.059 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.059 * [taylor]: Taking taylor expansion of re in re 12.059 * [backup-simplify]: Simplify 0 into 0 12.059 * [backup-simplify]: Simplify 1 into 1 12.059 * [backup-simplify]: Simplify (* 1 1) into 1 12.059 * [backup-simplify]: Simplify (/ 1 1) into 1 12.060 * [backup-simplify]: Simplify (+ 0 1) into 1 12.060 * [backup-simplify]: Simplify (sqrt 1) into 1 12.061 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.062 * [backup-simplify]: Simplify (+ 0 0) into 0 12.063 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.063 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 12.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 12.063 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 12.063 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.063 * [taylor]: Taking taylor expansion of im in re 12.063 * [backup-simplify]: Simplify im into im 12.063 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.063 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 12.063 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 12.063 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.063 * [taylor]: Taking taylor expansion of re in re 12.063 * [backup-simplify]: Simplify 0 into 0 12.063 * [backup-simplify]: Simplify 1 into 1 12.064 * [backup-simplify]: Simplify (* 1 1) into 1 12.064 * [backup-simplify]: Simplify (/ 1 1) into 1 12.065 * [backup-simplify]: Simplify (+ 0 1) into 1 12.065 * [backup-simplify]: Simplify (sqrt 1) into 1 12.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.067 * [backup-simplify]: Simplify (+ 0 0) into 0 12.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.067 * [taylor]: Taking taylor expansion of 1 in im 12.068 * [backup-simplify]: Simplify 1 into 1 12.068 * [taylor]: Taking taylor expansion of 0 in im 12.068 * [backup-simplify]: Simplify 0 into 0 12.068 * [backup-simplify]: Simplify 1 into 1 12.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.070 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 12.071 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 12.071 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 12.071 * [taylor]: Taking taylor expansion of 1/2 in im 12.071 * [backup-simplify]: Simplify 1/2 into 1/2 12.071 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.071 * [taylor]: Taking taylor expansion of im in im 12.071 * [backup-simplify]: Simplify 0 into 0 12.071 * [backup-simplify]: Simplify 1 into 1 12.072 * [backup-simplify]: Simplify (* 1 1) into 1 12.072 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 12.074 * [backup-simplify]: Simplify 0 into 0 12.074 * [backup-simplify]: Simplify 0 into 0 12.074 * [backup-simplify]: Simplify 0 into 0 12.075 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.075 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 12.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.077 * [backup-simplify]: Simplify (+ 0 0) into 0 12.078 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 12.078 * [taylor]: Taking taylor expansion of 0 in im 12.078 * [backup-simplify]: Simplify 0 into 0 12.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.079 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.079 * [backup-simplify]: Simplify 0 into 0 12.079 * [backup-simplify]: Simplify 0 into 0 12.079 * [backup-simplify]: Simplify 0 into 0 12.079 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 12.079 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 12.079 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 12.079 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 12.079 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 12.079 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 12.079 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.079 * [taylor]: Taking taylor expansion of im in im 12.080 * [backup-simplify]: Simplify 0 into 0 12.080 * [backup-simplify]: Simplify 1 into 1 12.080 * [backup-simplify]: Simplify (* 1 1) into 1 12.080 * [backup-simplify]: Simplify (/ 1 1) into 1 12.080 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 12.080 * [taylor]: Taking taylor expansion of (pow re 2) in im 12.080 * [taylor]: Taking taylor expansion of re in im 12.080 * [backup-simplify]: Simplify re into re 12.080 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.080 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 12.081 * [backup-simplify]: Simplify (+ 1 0) into 1 12.081 * [backup-simplify]: Simplify (sqrt 1) into 1 12.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.082 * [backup-simplify]: Simplify (+ 0 0) into 0 12.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.082 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 12.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 12.082 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 12.082 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.082 * [taylor]: Taking taylor expansion of im in re 12.082 * [backup-simplify]: Simplify im into im 12.082 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.083 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 12.083 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 12.083 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.083 * [taylor]: Taking taylor expansion of re in re 12.083 * [backup-simplify]: Simplify 0 into 0 12.083 * [backup-simplify]: Simplify 1 into 1 12.083 * [backup-simplify]: Simplify (* 1 1) into 1 12.083 * [backup-simplify]: Simplify (/ 1 1) into 1 12.083 * [backup-simplify]: Simplify (+ 0 1) into 1 12.084 * [backup-simplify]: Simplify (sqrt 1) into 1 12.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.085 * [backup-simplify]: Simplify (+ 0 0) into 0 12.085 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.085 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 12.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 12.085 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 12.085 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.085 * [taylor]: Taking taylor expansion of im in re 12.085 * [backup-simplify]: Simplify im into im 12.085 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.085 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 12.085 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 12.085 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.085 * [taylor]: Taking taylor expansion of re in re 12.085 * [backup-simplify]: Simplify 0 into 0 12.085 * [backup-simplify]: Simplify 1 into 1 12.086 * [backup-simplify]: Simplify (* 1 1) into 1 12.086 * [backup-simplify]: Simplify (/ 1 1) into 1 12.086 * [backup-simplify]: Simplify (+ 0 1) into 1 12.086 * [backup-simplify]: Simplify (sqrt 1) into 1 12.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.087 * [backup-simplify]: Simplify (+ 0 0) into 0 12.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.088 * [taylor]: Taking taylor expansion of 1 in im 12.088 * [backup-simplify]: Simplify 1 into 1 12.088 * [taylor]: Taking taylor expansion of 0 in im 12.088 * [backup-simplify]: Simplify 0 into 0 12.088 * [backup-simplify]: Simplify 1 into 1 12.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.089 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 12.090 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 12.090 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 12.090 * [taylor]: Taking taylor expansion of 1/2 in im 12.090 * [backup-simplify]: Simplify 1/2 into 1/2 12.090 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.090 * [taylor]: Taking taylor expansion of im in im 12.090 * [backup-simplify]: Simplify 0 into 0 12.090 * [backup-simplify]: Simplify 1 into 1 12.090 * [backup-simplify]: Simplify (* 1 1) into 1 12.091 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.092 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 12.092 * [backup-simplify]: Simplify 0 into 0 12.092 * [backup-simplify]: Simplify 0 into 0 12.092 * [backup-simplify]: Simplify 0 into 0 12.092 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.092 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 12.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.093 * [backup-simplify]: Simplify (+ 0 0) into 0 12.094 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 12.094 * [taylor]: Taking taylor expansion of 0 in im 12.094 * [backup-simplify]: Simplify 0 into 0 12.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.095 * [backup-simplify]: Simplify 0 into 0 12.095 * [backup-simplify]: Simplify 0 into 0 12.095 * [backup-simplify]: Simplify 0 into 0 12.095 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 12.095 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1) 12.095 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2)))) 12.095 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 12.095 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 12.095 * [taylor]: Taking taylor expansion of re in im 12.095 * [backup-simplify]: Simplify re into re 12.095 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 12.095 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 12.095 * [taylor]: Taking taylor expansion of (pow re 2) in im 12.095 * [taylor]: Taking taylor expansion of re in im 12.095 * [backup-simplify]: Simplify re into re 12.095 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.095 * [taylor]: Taking taylor expansion of im in im 12.095 * [backup-simplify]: Simplify 0 into 0 12.095 * [backup-simplify]: Simplify 1 into 1 12.096 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.096 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 12.096 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 12.096 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 12.096 * [backup-simplify]: Simplify (+ 0 0) into 0 12.096 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 12.096 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 12.096 * [taylor]: Taking taylor expansion of re in re 12.096 * [backup-simplify]: Simplify 0 into 0 12.096 * [backup-simplify]: Simplify 1 into 1 12.096 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 12.096 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 12.096 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.096 * [taylor]: Taking taylor expansion of re in re 12.096 * [backup-simplify]: Simplify 0 into 0 12.096 * [backup-simplify]: Simplify 1 into 1 12.096 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.096 * [taylor]: Taking taylor expansion of im in re 12.096 * [backup-simplify]: Simplify im into im 12.096 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.097 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 12.097 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 12.097 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.097 * [backup-simplify]: Simplify (+ 0 0) into 0 12.097 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 12.097 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 12.097 * [taylor]: Taking taylor expansion of re in re 12.097 * [backup-simplify]: Simplify 0 into 0 12.097 * [backup-simplify]: Simplify 1 into 1 12.097 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 12.097 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 12.097 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.097 * [taylor]: Taking taylor expansion of re in re 12.097 * [backup-simplify]: Simplify 0 into 0 12.097 * [backup-simplify]: Simplify 1 into 1 12.097 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.097 * [taylor]: Taking taylor expansion of im in re 12.097 * [backup-simplify]: Simplify im into im 12.097 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.097 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 12.098 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 12.098 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.098 * [backup-simplify]: Simplify (+ 0 0) into 0 12.098 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 12.098 * [backup-simplify]: Simplify (+ 0 im) into im 12.098 * [taylor]: Taking taylor expansion of im in im 12.098 * [backup-simplify]: Simplify 0 into 0 12.098 * [backup-simplify]: Simplify 1 into 1 12.098 * [backup-simplify]: Simplify 0 into 0 12.098 * [backup-simplify]: Simplify (+ 1 0) into 1 12.098 * [taylor]: Taking taylor expansion of 1 in im 12.098 * [backup-simplify]: Simplify 1 into 1 12.098 * [backup-simplify]: Simplify 1 into 1 12.099 * [backup-simplify]: Simplify 1 into 1 12.099 * [backup-simplify]: Simplify (* 1 1) into 1 12.099 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 12.099 * [backup-simplify]: Simplify (+ 1 0) into 1 12.100 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 12.100 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 12.100 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 12.100 * [taylor]: Taking taylor expansion of 1/2 in im 12.100 * [backup-simplify]: Simplify 1/2 into 1/2 12.100 * [taylor]: Taking taylor expansion of (/ 1 im) in im 12.100 * [taylor]: Taking taylor expansion of im in im 12.100 * [backup-simplify]: Simplify 0 into 0 12.100 * [backup-simplify]: Simplify 1 into 1 12.100 * [backup-simplify]: Simplify (/ 1 1) into 1 12.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.101 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 12.101 * [backup-simplify]: Simplify 0 into 0 12.101 * [backup-simplify]: Simplify 0 into 0 12.101 * [backup-simplify]: Simplify 0 into 0 12.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.102 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 12.102 * [backup-simplify]: Simplify (+ 0 0) into 0 12.103 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 12.103 * [backup-simplify]: Simplify (+ 0 0) into 0 12.103 * [taylor]: Taking taylor expansion of 0 in im 12.103 * [backup-simplify]: Simplify 0 into 0 12.103 * [backup-simplify]: Simplify 0 into 0 12.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.104 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 12.104 * [backup-simplify]: Simplify 0 into 0 12.104 * [backup-simplify]: Simplify 0 into 0 12.104 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 12.104 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 12.104 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 12.104 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 12.104 * [taylor]: Taking taylor expansion of (/ 1 re) in im 12.104 * [taylor]: Taking taylor expansion of re in im 12.104 * [backup-simplify]: Simplify re into re 12.104 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 12.104 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 12.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 12.105 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 12.105 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.105 * [taylor]: Taking taylor expansion of im in im 12.105 * [backup-simplify]: Simplify 0 into 0 12.105 * [backup-simplify]: Simplify 1 into 1 12.105 * [backup-simplify]: Simplify (* 1 1) into 1 12.105 * [backup-simplify]: Simplify (/ 1 1) into 1 12.105 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 12.105 * [taylor]: Taking taylor expansion of (pow re 2) in im 12.105 * [taylor]: Taking taylor expansion of re in im 12.105 * [backup-simplify]: Simplify re into re 12.105 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.105 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 12.106 * [backup-simplify]: Simplify (+ 1 0) into 1 12.106 * [backup-simplify]: Simplify (sqrt 1) into 1 12.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.107 * [backup-simplify]: Simplify (+ 0 0) into 0 12.107 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.107 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 12.107 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.107 * [taylor]: Taking taylor expansion of re in re 12.107 * [backup-simplify]: Simplify 0 into 0 12.107 * [backup-simplify]: Simplify 1 into 1 12.108 * [backup-simplify]: Simplify (/ 1 1) into 1 12.108 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 12.108 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 12.108 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 12.108 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.108 * [taylor]: Taking taylor expansion of im in re 12.108 * [backup-simplify]: Simplify im into im 12.108 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.108 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 12.108 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 12.108 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.108 * [taylor]: Taking taylor expansion of re in re 12.108 * [backup-simplify]: Simplify 0 into 0 12.108 * [backup-simplify]: Simplify 1 into 1 12.108 * [backup-simplify]: Simplify (* 1 1) into 1 12.109 * [backup-simplify]: Simplify (/ 1 1) into 1 12.109 * [backup-simplify]: Simplify (+ 0 1) into 1 12.109 * [backup-simplify]: Simplify (sqrt 1) into 1 12.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.110 * [backup-simplify]: Simplify (+ 0 0) into 0 12.111 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.111 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 12.111 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.111 * [taylor]: Taking taylor expansion of re in re 12.111 * [backup-simplify]: Simplify 0 into 0 12.111 * [backup-simplify]: Simplify 1 into 1 12.111 * [backup-simplify]: Simplify (/ 1 1) into 1 12.111 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 12.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 12.111 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 12.111 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.111 * [taylor]: Taking taylor expansion of im in re 12.111 * [backup-simplify]: Simplify im into im 12.111 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.111 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 12.111 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 12.111 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.111 * [taylor]: Taking taylor expansion of re in re 12.111 * [backup-simplify]: Simplify 0 into 0 12.111 * [backup-simplify]: Simplify 1 into 1 12.112 * [backup-simplify]: Simplify (* 1 1) into 1 12.112 * [backup-simplify]: Simplify (/ 1 1) into 1 12.112 * [backup-simplify]: Simplify (+ 0 1) into 1 12.112 * [backup-simplify]: Simplify (sqrt 1) into 1 12.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.113 * [backup-simplify]: Simplify (+ 0 0) into 0 12.114 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.114 * [backup-simplify]: Simplify (+ 1 1) into 2 12.114 * [taylor]: Taking taylor expansion of 2 in im 12.114 * [backup-simplify]: Simplify 2 into 2 12.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.116 * [backup-simplify]: Simplify (+ 0 0) into 0 12.116 * [taylor]: Taking taylor expansion of 0 in im 12.116 * [backup-simplify]: Simplify 0 into 0 12.116 * [backup-simplify]: Simplify 2 into 2 12.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.119 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 12.120 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 12.120 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 12.120 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 12.121 * [taylor]: Taking taylor expansion of 1/2 in im 12.121 * [backup-simplify]: Simplify 1/2 into 1/2 12.121 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 12.121 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.121 * [taylor]: Taking taylor expansion of im in im 12.121 * [backup-simplify]: Simplify 0 into 0 12.121 * [backup-simplify]: Simplify 1 into 1 12.121 * [backup-simplify]: Simplify (* 1 1) into 1 12.121 * [backup-simplify]: Simplify (/ 1 1) into 1 12.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.124 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 12.124 * [backup-simplify]: Simplify 0 into 0 12.124 * [backup-simplify]: Simplify 0 into 0 12.124 * [backup-simplify]: Simplify 0 into 0 12.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.125 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.126 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 12.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.129 * [backup-simplify]: Simplify (+ 0 0) into 0 12.129 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 12.130 * [backup-simplify]: Simplify (+ 0 0) into 0 12.130 * [taylor]: Taking taylor expansion of 0 in im 12.130 * [backup-simplify]: Simplify 0 into 0 12.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.140 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 12.140 * [backup-simplify]: Simplify 0 into 0 12.140 * [backup-simplify]: Simplify 0 into 0 12.140 * [backup-simplify]: Simplify 0 into 0 12.141 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 12.141 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 12.141 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 12.141 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 12.141 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 12.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 12.141 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 12.141 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.141 * [taylor]: Taking taylor expansion of im in im 12.141 * [backup-simplify]: Simplify 0 into 0 12.141 * [backup-simplify]: Simplify 1 into 1 12.142 * [backup-simplify]: Simplify (* 1 1) into 1 12.143 * [backup-simplify]: Simplify (/ 1 1) into 1 12.143 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 12.143 * [taylor]: Taking taylor expansion of (pow re 2) in im 12.143 * [taylor]: Taking taylor expansion of re in im 12.143 * [backup-simplify]: Simplify re into re 12.143 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.143 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 12.143 * [backup-simplify]: Simplify (+ 1 0) into 1 12.144 * [backup-simplify]: Simplify (sqrt 1) into 1 12.145 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.146 * [backup-simplify]: Simplify (+ 0 0) into 0 12.147 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.147 * [taylor]: Taking taylor expansion of (/ 1 re) in im 12.147 * [taylor]: Taking taylor expansion of re in im 12.147 * [backup-simplify]: Simplify re into re 12.147 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 12.147 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 12.147 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 12.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 12.147 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 12.147 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.147 * [taylor]: Taking taylor expansion of im in re 12.147 * [backup-simplify]: Simplify im into im 12.147 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.147 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 12.147 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 12.147 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.147 * [taylor]: Taking taylor expansion of re in re 12.148 * [backup-simplify]: Simplify 0 into 0 12.148 * [backup-simplify]: Simplify 1 into 1 12.148 * [backup-simplify]: Simplify (* 1 1) into 1 12.148 * [backup-simplify]: Simplify (/ 1 1) into 1 12.149 * [backup-simplify]: Simplify (+ 0 1) into 1 12.149 * [backup-simplify]: Simplify (sqrt 1) into 1 12.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.151 * [backup-simplify]: Simplify (+ 0 0) into 0 12.152 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.152 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.152 * [taylor]: Taking taylor expansion of re in re 12.152 * [backup-simplify]: Simplify 0 into 0 12.152 * [backup-simplify]: Simplify 1 into 1 12.152 * [backup-simplify]: Simplify (/ 1 1) into 1 12.152 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 12.152 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 12.152 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 12.152 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 12.152 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.152 * [taylor]: Taking taylor expansion of im in re 12.152 * [backup-simplify]: Simplify im into im 12.153 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.153 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 12.153 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 12.153 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.153 * [taylor]: Taking taylor expansion of re in re 12.153 * [backup-simplify]: Simplify 0 into 0 12.153 * [backup-simplify]: Simplify 1 into 1 12.153 * [backup-simplify]: Simplify (* 1 1) into 1 12.154 * [backup-simplify]: Simplify (/ 1 1) into 1 12.154 * [backup-simplify]: Simplify (+ 0 1) into 1 12.154 * [backup-simplify]: Simplify (sqrt 1) into 1 12.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.156 * [backup-simplify]: Simplify (+ 0 0) into 0 12.157 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.157 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.157 * [taylor]: Taking taylor expansion of re in re 12.157 * [backup-simplify]: Simplify 0 into 0 12.157 * [backup-simplify]: Simplify 1 into 1 12.157 * [backup-simplify]: Simplify (/ 1 1) into 1 12.158 * [backup-simplify]: Simplify (- 1) into -1 12.158 * [backup-simplify]: Simplify (+ 1 -1) into 0 12.158 * [taylor]: Taking taylor expansion of 0 in im 12.158 * [backup-simplify]: Simplify 0 into 0 12.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.160 * [backup-simplify]: Simplify (- 0) into 0 12.160 * [backup-simplify]: Simplify (+ 0 0) into 0 12.160 * [taylor]: Taking taylor expansion of 0 in im 12.160 * [backup-simplify]: Simplify 0 into 0 12.160 * [backup-simplify]: Simplify 0 into 0 12.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.162 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 12.164 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 12.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.165 * [backup-simplify]: Simplify (- 0) into 0 12.165 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 12.165 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 12.165 * [taylor]: Taking taylor expansion of 1/2 in im 12.165 * [backup-simplify]: Simplify 1/2 into 1/2 12.165 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 12.165 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.166 * [taylor]: Taking taylor expansion of im in im 12.166 * [backup-simplify]: Simplify 0 into 0 12.166 * [backup-simplify]: Simplify 1 into 1 12.166 * [backup-simplify]: Simplify (* 1 1) into 1 12.166 * [backup-simplify]: Simplify (/ 1 1) into 1 12.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.167 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 12.167 * [backup-simplify]: Simplify 0 into 0 12.167 * [backup-simplify]: Simplify 0 into 0 12.167 * [backup-simplify]: Simplify 0 into 0 12.167 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.168 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 12.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.169 * [backup-simplify]: Simplify (+ 0 0) into 0 12.169 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 12.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.170 * [backup-simplify]: Simplify (- 0) into 0 12.170 * [backup-simplify]: Simplify (+ 0 0) into 0 12.170 * [taylor]: Taking taylor expansion of 0 in im 12.171 * [backup-simplify]: Simplify 0 into 0 12.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.172 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 12.172 * [backup-simplify]: Simplify 0 into 0 12.172 * [backup-simplify]: Simplify 0 into 0 12.172 * [backup-simplify]: Simplify 0 into 0 12.172 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 12.173 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) into (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) 12.173 * [approximate]: Taking taylor expansion of (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in (im re) around 0 12.173 * [taylor]: Taking taylor expansion of (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in re 12.173 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in re 12.173 * [taylor]: Taking taylor expansion of (fabs im) in re 12.174 * [backup-simplify]: Simplify (fabs im) into (fabs im) 12.174 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 12.174 * [taylor]: Taking taylor expansion of 2.0 in re 12.174 * [backup-simplify]: Simplify 2.0 into 2.0 12.175 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.175 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.175 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 12.175 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 12.175 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 12.175 * [taylor]: Taking taylor expansion of re in re 12.175 * [backup-simplify]: Simplify 0 into 0 12.175 * [backup-simplify]: Simplify 1 into 1 12.175 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 12.175 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 12.175 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.175 * [taylor]: Taking taylor expansion of re in re 12.175 * [backup-simplify]: Simplify 0 into 0 12.175 * [backup-simplify]: Simplify 1 into 1 12.175 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.175 * [taylor]: Taking taylor expansion of im in re 12.175 * [backup-simplify]: Simplify im into im 12.175 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.176 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 12.176 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 12.176 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.176 * [backup-simplify]: Simplify (+ 0 0) into 0 12.176 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 12.176 * [backup-simplify]: Simplify (+ 0 im) into im 12.176 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 12.176 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im)) 12.177 * [backup-simplify]: Simplify (+ 1 0) into 1 12.177 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 1 im)))) into (- (/ 1 (pow im 2))) 12.177 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2))) (* 2 (sqrt (/ 1 im)))) into (* -1/2 (sqrt (/ 1 (pow im 3)))) 12.177 * [taylor]: Taking taylor expansion of (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 12.177 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in im 12.177 * [taylor]: Taking taylor expansion of (fabs im) in im 12.177 * [backup-simplify]: Simplify (fabs im) into (fabs im) 12.177 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 12.177 * [taylor]: Taking taylor expansion of 2.0 in im 12.177 * [backup-simplify]: Simplify 2.0 into 2.0 12.177 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.178 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.178 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 12.178 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 12.178 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 12.178 * [taylor]: Taking taylor expansion of re in im 12.178 * [backup-simplify]: Simplify re into re 12.178 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 12.178 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 12.178 * [taylor]: Taking taylor expansion of (pow re 2) in im 12.178 * [taylor]: Taking taylor expansion of re in im 12.178 * [backup-simplify]: Simplify re into re 12.178 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.178 * [taylor]: Taking taylor expansion of im in im 12.178 * [backup-simplify]: Simplify 0 into 0 12.178 * [backup-simplify]: Simplify 1 into 1 12.178 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.178 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 12.178 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 12.178 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 12.179 * [backup-simplify]: Simplify (+ 0 0) into 0 12.179 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 12.179 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 12.179 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 12.179 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 12.179 * [backup-simplify]: Simplify (+ 0 0) into 0 12.179 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 12.179 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 12.179 * [taylor]: Taking taylor expansion of (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 12.179 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in im 12.179 * [taylor]: Taking taylor expansion of (fabs im) in im 12.179 * [backup-simplify]: Simplify (fabs im) into (fabs im) 12.179 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 12.179 * [taylor]: Taking taylor expansion of 2.0 in im 12.179 * [backup-simplify]: Simplify 2.0 into 2.0 12.180 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.180 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.180 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 12.180 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 12.180 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 12.180 * [taylor]: Taking taylor expansion of re in im 12.180 * [backup-simplify]: Simplify re into re 12.180 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 12.180 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 12.180 * [taylor]: Taking taylor expansion of (pow re 2) in im 12.180 * [taylor]: Taking taylor expansion of re in im 12.180 * [backup-simplify]: Simplify re into re 12.180 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.180 * [taylor]: Taking taylor expansion of im in im 12.180 * [backup-simplify]: Simplify 0 into 0 12.180 * [backup-simplify]: Simplify 1 into 1 12.180 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.181 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 12.181 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 12.181 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 12.181 * [backup-simplify]: Simplify (+ 0 0) into 0 12.181 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 12.181 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 12.181 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 12.181 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 12.181 * [backup-simplify]: Simplify (+ 0 0) into 0 12.182 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 12.182 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 12.182 * [backup-simplify]: Simplify (* (fabs im) (sqrt 2.0)) into (* (fabs im) (sqrt 2.0)) 12.183 * [backup-simplify]: Simplify (* (* (fabs im) (sqrt 2.0)) (* (sqrt (/ 1 re)) (sqrt 1/2))) into (* (* (fabs im) (* (sqrt 2.0) (sqrt 1/2))) (sqrt (/ 1 re))) 12.183 * [taylor]: Taking taylor expansion of (* (* (fabs im) (* (sqrt 2.0) (sqrt 1/2))) (sqrt (/ 1 re))) in re 12.183 * [taylor]: Taking taylor expansion of (* (fabs im) (* (sqrt 2.0) (sqrt 1/2))) in re 12.183 * [taylor]: Taking taylor expansion of (fabs im) in re 12.183 * [backup-simplify]: Simplify (fabs im) into (fabs im) 12.183 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 1/2)) in re 12.183 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 12.183 * [taylor]: Taking taylor expansion of 2.0 in re 12.183 * [backup-simplify]: Simplify 2.0 into 2.0 12.183 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.184 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.184 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 12.184 * [taylor]: Taking taylor expansion of 1/2 in re 12.184 * [backup-simplify]: Simplify 1/2 into 1/2 12.184 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 12.184 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 12.184 * [taylor]: Taking taylor expansion of (sqrt (/ 1 re)) in re 12.184 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.184 * [taylor]: Taking taylor expansion of re in re 12.184 * [backup-simplify]: Simplify 0 into 0 12.185 * [backup-simplify]: Simplify 1 into 1 12.185 * [backup-simplify]: Simplify (/ 1 1) into 1 12.185 * [backup-simplify]: Simplify (sqrt 0) into 0 12.186 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.187 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 1/2)) into (* (sqrt 2.0) (sqrt 1/2)) 12.188 * [backup-simplify]: Simplify (* (fabs im) (* (sqrt 2.0) (sqrt 1/2))) into (* (fabs im) (* (sqrt 2.0) (sqrt 1/2))) 12.188 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 1/2))) into 0 12.189 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (* 0 (* (sqrt 2.0) (sqrt 1/2)))) into 0 12.190 * [backup-simplify]: Simplify (+ (* (* (fabs im) (* (sqrt 2.0) (sqrt 1/2))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 1/2))))) 12.191 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 1/2))))) into (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 1/2))))) 12.191 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (* 0 (sqrt 2.0))) into 0 12.192 * [backup-simplify]: Simplify (+ (* (* (fabs im) (sqrt 2.0)) 0) (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2)))) into 0 12.192 * [taylor]: Taking taylor expansion of 0 in re 12.192 * [backup-simplify]: Simplify 0 into 0 12.192 * [backup-simplify]: Simplify 0 into 0 12.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.196 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.197 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 12.198 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 12.200 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 12.201 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (* 0 (* (sqrt 2.0) (sqrt 1/2))))) into 0 12.203 * [backup-simplify]: Simplify (+ (* (* (fabs im) (* (sqrt 2.0) (sqrt 1/2))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 1/2))))) 12.205 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 1/2))))) into (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 1/2))))) 12.205 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 12.206 * [backup-simplify]: Simplify (* 1 1) into 1 12.206 * [backup-simplify]: Simplify (+ 0 1) into 1 12.207 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 12.207 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re)) 12.208 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ (* 1/2 (/ 1 re)) (* 2 re))) (* 0 (/ 0 (* 2 re))))) into (- (* 1/8 (/ 1 (pow re 3)))) 12.209 * [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)))) 12.210 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 12.211 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 12.214 * [backup-simplify]: Simplify (+ (* (* (fabs im) (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 (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) 12.214 * [taylor]: Taking taylor expansion of (- (* 1/16 (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) in re 12.214 * [taylor]: Taking taylor expansion of (* 1/16 (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) (sqrt (/ 1 (pow re 5))))) in re 12.214 * [taylor]: Taking taylor expansion of 1/16 in re 12.214 * [backup-simplify]: Simplify 1/16 into 1/16 12.214 * [taylor]: Taking taylor expansion of (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))) in re 12.214 * [taylor]: Taking taylor expansion of (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) in re 12.214 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in re 12.214 * [taylor]: Taking taylor expansion of (fabs im) in re 12.214 * [backup-simplify]: Simplify (fabs im) into (fabs im) 12.215 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 12.215 * [taylor]: Taking taylor expansion of 2.0 in re 12.215 * [backup-simplify]: Simplify 2.0 into 2.0 12.215 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.216 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.216 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 12.216 * [taylor]: Taking taylor expansion of 1/2 in re 12.216 * [backup-simplify]: Simplify 1/2 into 1/2 12.216 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 12.217 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 12.217 * [backup-simplify]: Simplify (* (fabs im) (sqrt 2.0)) into (* (fabs im) (sqrt 2.0)) 12.218 * [backup-simplify]: Simplify (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) into (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) 12.218 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 5))) in re 12.218 * [taylor]: Taking taylor expansion of (/ 1 (pow re 5)) in re 12.218 * [taylor]: Taking taylor expansion of (pow re 5) in re 12.218 * [taylor]: Taking taylor expansion of re in re 12.219 * [backup-simplify]: Simplify 0 into 0 12.219 * [backup-simplify]: Simplify 1 into 1 12.219 * [backup-simplify]: Simplify (* 1 1) into 1 12.219 * [backup-simplify]: Simplify (* 1 1) into 1 12.220 * [backup-simplify]: Simplify (* 1 1) into 1 12.220 * [backup-simplify]: Simplify (/ 1 1) into 1 12.220 * [backup-simplify]: Simplify (sqrt 0) into 0 12.222 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.224 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.224 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.227 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.229 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.230 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (* 0 (sqrt 2.0))) into 0 12.231 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) (/ 0 (sqrt 1/2))))) into 0 12.232 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 12.232 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 12.233 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 12.235 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0 12.235 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 12.236 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 12.237 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 12.239 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0 12.240 * [backup-simplify]: Simplify (+ (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)))) 12.241 * [backup-simplify]: Simplify (+ (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)))) 12.241 * [backup-simplify]: Simplify (+ (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)))) 12.242 * [backup-simplify]: Simplify (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) 0) into 0 12.244 * [backup-simplify]: Simplify (+ (* 1/16 (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2))))) (+ (* 0 (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2))))) (+ (* 0 (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2))))) (* 0 0)))) into (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)))) 12.245 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2))))) into (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)))) 12.245 * [backup-simplify]: Simplify (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)))) into (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)))) 12.248 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)))) (pow (* 1 im) 2)) (+ (* (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 1/2))))) (* re 1)) (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 1/2))))))) into (- (+ (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) (pow im 2))) (sqrt 1/2))) (- (+ (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 1/2)))) (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (* (sqrt 1/2) re))))))))) 12.248 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ (fabs (/ 1 im)) (sqrt (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))))) into (* (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) 12.249 * [approximate]: Taking taylor expansion of (* (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in (im re) around 0 12.249 * [taylor]: Taking taylor expansion of (* (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re 12.249 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re 12.249 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 12.249 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 12.249 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 12.249 * [taylor]: Taking taylor expansion of 2.0 in re 12.249 * [backup-simplify]: Simplify 2.0 into 2.0 12.249 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.249 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.249 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 12.249 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 12.249 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 12.249 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.249 * [taylor]: Taking taylor expansion of re in re 12.250 * [backup-simplify]: Simplify 0 into 0 12.250 * [backup-simplify]: Simplify 1 into 1 12.250 * [backup-simplify]: Simplify (/ 1 1) into 1 12.250 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 12.250 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 12.250 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 12.250 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.250 * [taylor]: Taking taylor expansion of im in re 12.250 * [backup-simplify]: Simplify im into im 12.250 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.250 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 12.250 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 12.250 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.250 * [taylor]: Taking taylor expansion of re in re 12.250 * [backup-simplify]: Simplify 0 into 0 12.250 * [backup-simplify]: Simplify 1 into 1 12.251 * [backup-simplify]: Simplify (* 1 1) into 1 12.251 * [backup-simplify]: Simplify (/ 1 1) into 1 12.252 * [backup-simplify]: Simplify (+ 0 1) into 1 12.252 * [backup-simplify]: Simplify (sqrt 1) into 1 12.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.254 * [backup-simplify]: Simplify (+ 0 0) into 0 12.255 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.255 * [backup-simplify]: Simplify (+ 1 1) into 2 12.256 * [backup-simplify]: Simplify (/ 1 2) into 1/2 12.265 * [backup-simplify]: Simplify (sqrt 0) into 0 12.267 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0 12.267 * [taylor]: Taking taylor expansion of (* (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 12.267 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in im 12.267 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im 12.267 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 12.267 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 12.267 * [taylor]: Taking taylor expansion of 2.0 in im 12.267 * [backup-simplify]: Simplify 2.0 into 2.0 12.267 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.268 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 12.268 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 12.268 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 12.268 * [taylor]: Taking taylor expansion of (/ 1 re) in im 12.268 * [taylor]: Taking taylor expansion of re in im 12.268 * [backup-simplify]: Simplify re into re 12.269 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 12.269 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 12.269 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 12.269 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 12.269 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.269 * [taylor]: Taking taylor expansion of im in im 12.269 * [backup-simplify]: Simplify 0 into 0 12.269 * [backup-simplify]: Simplify 1 into 1 12.269 * [backup-simplify]: Simplify (* 1 1) into 1 12.270 * [backup-simplify]: Simplify (/ 1 1) into 1 12.270 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 12.270 * [taylor]: Taking taylor expansion of (pow re 2) in im 12.270 * [taylor]: Taking taylor expansion of re in im 12.270 * [backup-simplify]: Simplify re into re 12.270 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.270 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 12.270 * [backup-simplify]: Simplify (+ 1 0) into 1 12.271 * [backup-simplify]: Simplify (sqrt 1) into 1 12.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.273 * [backup-simplify]: Simplify (+ 0 0) into 0 12.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.274 * [backup-simplify]: Simplify (+ 0 1) into 1 12.274 * [backup-simplify]: Simplify (/ 1 1) into 1 12.274 * [backup-simplify]: Simplify (sqrt 0) into 0 12.275 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.275 * [taylor]: Taking taylor expansion of (* (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 12.275 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in im 12.275 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im 12.275 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 12.275 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 12.275 * [taylor]: Taking taylor expansion of 2.0 in im 12.275 * [backup-simplify]: Simplify 2.0 into 2.0 12.276 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.276 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.276 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 12.276 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 12.276 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 12.276 * [taylor]: Taking taylor expansion of (/ 1 re) in im 12.276 * [taylor]: Taking taylor expansion of re in im 12.276 * [backup-simplify]: Simplify re into re 12.276 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 12.276 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 12.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 12.276 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 12.276 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.276 * [taylor]: Taking taylor expansion of im in im 12.276 * [backup-simplify]: Simplify 0 into 0 12.276 * [backup-simplify]: Simplify 1 into 1 12.277 * [backup-simplify]: Simplify (* 1 1) into 1 12.277 * [backup-simplify]: Simplify (/ 1 1) into 1 12.277 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 12.277 * [taylor]: Taking taylor expansion of (pow re 2) in im 12.277 * [taylor]: Taking taylor expansion of re in im 12.277 * [backup-simplify]: Simplify re into re 12.277 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.277 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 12.277 * [backup-simplify]: Simplify (+ 1 0) into 1 12.278 * [backup-simplify]: Simplify (sqrt 1) into 1 12.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.279 * [backup-simplify]: Simplify (+ 0 0) into 0 12.279 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.279 * [backup-simplify]: Simplify (+ 0 1) into 1 12.280 * [backup-simplify]: Simplify (/ 1 1) into 1 12.280 * [backup-simplify]: Simplify (sqrt 0) into 0 12.281 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.281 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0)) 12.281 * [backup-simplify]: Simplify (* (* (fabs (/ 1 im)) (sqrt 2.0)) 0) into 0 12.281 * [taylor]: Taking taylor expansion of 0 in re 12.281 * [backup-simplify]: Simplify 0 into 0 12.281 * [backup-simplify]: Simplify 0 into 0 12.282 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (* 0 (sqrt 2.0))) into 0 12.282 * [backup-simplify]: Simplify (+ (* (* (fabs (/ 1 im)) (sqrt 2.0)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 12.282 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) in re 12.282 * [taylor]: Taking taylor expansion of (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) in re 12.282 * [taylor]: Taking taylor expansion of +nan.0 in re 12.283 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.283 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re 12.283 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 12.283 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 12.283 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 12.283 * [taylor]: Taking taylor expansion of 2.0 in re 12.283 * [backup-simplify]: Simplify 2.0 into 2.0 12.283 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.284 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0)) 12.284 * [backup-simplify]: Simplify (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) into (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) 12.285 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 12.285 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 12.285 * [backup-simplify]: Simplify 0 into 0 12.285 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 12.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 12.286 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0))) 12.287 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 12.287 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 12.288 * [backup-simplify]: Simplify (+ (* (* (fabs (/ 1 im)) (sqrt 2.0)) (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))))) 12.288 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))))) in re 12.288 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)))) in re 12.288 * [taylor]: Taking taylor expansion of (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) in re 12.288 * [taylor]: Taking taylor expansion of +nan.0 in re 12.288 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.288 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re 12.288 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 12.288 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 12.289 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 12.289 * [taylor]: Taking taylor expansion of 2.0 in re 12.289 * [backup-simplify]: Simplify 2.0 into 2.0 12.289 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.289 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.289 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))) in re 12.289 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)) in re 12.289 * [taylor]: Taking taylor expansion of +nan.0 in re 12.289 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.289 * [taylor]: Taking taylor expansion of (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re) in re 12.289 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re 12.289 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 12.289 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 12.289 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 12.289 * [taylor]: Taking taylor expansion of 2.0 in re 12.289 * [backup-simplify]: Simplify 2.0 into 2.0 12.290 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.290 * [taylor]: Taking taylor expansion of re in re 12.290 * [backup-simplify]: Simplify 0 into 0 12.290 * [backup-simplify]: Simplify 1 into 1 12.291 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0)) 12.291 * [backup-simplify]: Simplify (/ (* (fabs (/ 1 im)) (sqrt 2.0)) 1) into (* (fabs (/ 1 im)) (sqrt 2.0)) 12.291 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0)) 12.292 * [backup-simplify]: Simplify (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) into (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) 12.292 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (* 0 (sqrt 2.0))) into 0 12.293 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (fabs (/ 1 im)) (sqrt 2.0)) (/ 0 1)))) into 0 12.293 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into 0 12.294 * [backup-simplify]: Simplify (- 0) into 0 12.294 * [backup-simplify]: Simplify (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) 0) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 12.294 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 12.295 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 12.295 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (* 0 (sqrt 2.0))) into 0 12.296 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into 0 12.296 * [backup-simplify]: Simplify (- 0) into 0 12.296 * [backup-simplify]: Simplify 0 into 0 12.296 * [backup-simplify]: Simplify 0 into 0 12.296 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 12.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.297 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 12.298 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 12.298 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 12.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 12.299 * [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)))) 12.300 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 12.301 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 12.302 * [backup-simplify]: Simplify (+ (* (* (fabs (/ 1 im)) (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 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (+ (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))))))) 12.302 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (+ (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))))))) in re 12.302 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (+ (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)))))) in re 12.302 * [taylor]: Taking taylor expansion of (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) in re 12.302 * [taylor]: Taking taylor expansion of +nan.0 in re 12.302 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.302 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re 12.302 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 12.302 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 12.302 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 12.302 * [taylor]: Taking taylor expansion of 2.0 in re 12.302 * [backup-simplify]: Simplify 2.0 into 2.0 12.303 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.303 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))))) in re 12.303 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)))) in re 12.303 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) in re 12.303 * [taylor]: Taking taylor expansion of +nan.0 in re 12.303 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.303 * [taylor]: Taking taylor expansion of (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2)) in re 12.303 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re 12.303 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 12.303 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 12.303 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 12.303 * [taylor]: Taking taylor expansion of 2.0 in re 12.303 * [backup-simplify]: Simplify 2.0 into 2.0 12.304 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.304 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.304 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.304 * [taylor]: Taking taylor expansion of re in re 12.304 * [backup-simplify]: Simplify 0 into 0 12.304 * [backup-simplify]: Simplify 1 into 1 12.304 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0)) 12.305 * [backup-simplify]: Simplify (* 1 1) into 1 12.305 * [backup-simplify]: Simplify (/ (* (fabs (/ 1 im)) (sqrt 2.0)) 1) into (* (fabs (/ 1 im)) (sqrt 2.0)) 12.305 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))) in re 12.305 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)) in re 12.305 * [taylor]: Taking taylor expansion of +nan.0 in re 12.305 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.305 * [taylor]: Taking taylor expansion of (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re) in re 12.305 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re 12.305 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 12.305 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 12.305 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 12.305 * [taylor]: Taking taylor expansion of 2.0 in re 12.305 * [backup-simplify]: Simplify 2.0 into 2.0 12.306 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.306 * [taylor]: Taking taylor expansion of re in re 12.306 * [backup-simplify]: Simplify 0 into 0 12.306 * [backup-simplify]: Simplify 1 into 1 12.306 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0)) 12.307 * [backup-simplify]: Simplify (/ (* (fabs (/ 1 im)) (sqrt 2.0)) 1) into (* (fabs (/ 1 im)) (sqrt 2.0)) 12.307 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0)) 12.307 * [backup-simplify]: Simplify (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) into (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) 12.308 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 12.309 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 12.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.310 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (* 0 (sqrt 2.0))) into 0 12.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.311 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (fabs (/ 1 im)) (sqrt 2.0)) (/ 0 1)))) into 0 12.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (fabs (/ 1 im)) (sqrt 2.0)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.313 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into 0 12.314 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (* 0 (sqrt 2.0))) into 0 12.314 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (fabs (/ 1 im)) (sqrt 2.0)) (/ 0 1)))) into 0 12.315 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into 0 12.315 * [backup-simplify]: Simplify (- 0) into 0 12.316 * [backup-simplify]: Simplify (+ 0 0) into 0 12.316 * [backup-simplify]: Simplify (- 0) into 0 12.316 * [backup-simplify]: Simplify (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) 0) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 12.316 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 12.317 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 12.318 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (fabs (/ 1 (/ 1 im))) (sqrt 2.0)))) (pow (* 1 (/ 1 im)) 3)) (+ (* (- (* +nan.0 (* (fabs (/ 1 (/ 1 im))) (sqrt 2.0)))) (pow (* 1 (/ 1 im)) 2)) (* (- (* +nan.0 (* (fabs (/ 1 (/ 1 im))) (sqrt 2.0)))) (* 1 (/ 1 im))))) into (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow im 3))) (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) im)) (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow im 2)))))))) 12.319 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ (fabs (/ 1 (- im))) (sqrt (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))))) into (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) 12.319 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in (im re) around 0 12.319 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in re 12.319 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 12.319 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 12.319 * [taylor]: Taking taylor expansion of 2.0 in re 12.319 * [backup-simplify]: Simplify 2.0 into 2.0 12.319 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.320 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.320 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 12.320 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 12.320 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 12.320 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 12.320 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 12.320 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 12.320 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 12.320 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 12.320 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.320 * [taylor]: Taking taylor expansion of im in re 12.320 * [backup-simplify]: Simplify im into im 12.320 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.320 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 12.320 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 12.320 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.320 * [taylor]: Taking taylor expansion of re in re 12.320 * [backup-simplify]: Simplify 0 into 0 12.320 * [backup-simplify]: Simplify 1 into 1 12.321 * [backup-simplify]: Simplify (* 1 1) into 1 12.321 * [backup-simplify]: Simplify (/ 1 1) into 1 12.321 * [backup-simplify]: Simplify (+ 0 1) into 1 12.321 * [backup-simplify]: Simplify (sqrt 1) into 1 12.322 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.323 * [backup-simplify]: Simplify (+ 0 0) into 0 12.323 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.323 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.323 * [taylor]: Taking taylor expansion of re in re 12.323 * [backup-simplify]: Simplify 0 into 0 12.323 * [backup-simplify]: Simplify 1 into 1 12.323 * [backup-simplify]: Simplify (/ 1 1) into 1 12.324 * [backup-simplify]: Simplify (- 1) into -1 12.324 * [backup-simplify]: Simplify (+ 1 -1) into 0 12.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.324 * [backup-simplify]: Simplify (- 0) into 0 12.325 * [backup-simplify]: Simplify (+ 0 0) into 0 12.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.326 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 12.327 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 12.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.328 * [backup-simplify]: Simplify (- 0) into 0 12.328 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 12.328 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2)) 12.328 * [backup-simplify]: Simplify (sqrt 0) into 0 12.328 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2)) 12.328 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 12.329 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in im 12.329 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 12.329 * [taylor]: Taking taylor expansion of 2.0 in im 12.329 * [backup-simplify]: Simplify 2.0 into 2.0 12.329 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.329 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.329 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im 12.329 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 12.329 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 12.329 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 12.329 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 12.329 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 12.329 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 12.329 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 12.330 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.330 * [taylor]: Taking taylor expansion of im in im 12.330 * [backup-simplify]: Simplify 0 into 0 12.330 * [backup-simplify]: Simplify 1 into 1 12.330 * [backup-simplify]: Simplify (* 1 1) into 1 12.330 * [backup-simplify]: Simplify (/ 1 1) into 1 12.330 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 12.330 * [taylor]: Taking taylor expansion of (pow re 2) in im 12.330 * [taylor]: Taking taylor expansion of re in im 12.330 * [backup-simplify]: Simplify re into re 12.330 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.330 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 12.331 * [backup-simplify]: Simplify (+ 1 0) into 1 12.331 * [backup-simplify]: Simplify (sqrt 1) into 1 12.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.332 * [backup-simplify]: Simplify (+ 0 0) into 0 12.332 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.332 * [taylor]: Taking taylor expansion of (/ 1 re) in im 12.332 * [taylor]: Taking taylor expansion of re in im 12.332 * [backup-simplify]: Simplify re into re 12.332 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 12.333 * [backup-simplify]: Simplify (+ 1 0) into 1 12.333 * [backup-simplify]: Simplify (/ 1 1) into 1 12.333 * [backup-simplify]: Simplify (sqrt 0) into 0 12.334 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.334 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 12.334 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in im 12.334 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 12.334 * [taylor]: Taking taylor expansion of 2.0 in im 12.334 * [backup-simplify]: Simplify 2.0 into 2.0 12.335 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.335 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.335 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im 12.335 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 12.335 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 12.335 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 12.335 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 12.335 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 12.335 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 12.335 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 12.335 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.335 * [taylor]: Taking taylor expansion of im in im 12.335 * [backup-simplify]: Simplify 0 into 0 12.335 * [backup-simplify]: Simplify 1 into 1 12.336 * [backup-simplify]: Simplify (* 1 1) into 1 12.336 * [backup-simplify]: Simplify (/ 1 1) into 1 12.336 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 12.336 * [taylor]: Taking taylor expansion of (pow re 2) in im 12.336 * [taylor]: Taking taylor expansion of re in im 12.336 * [backup-simplify]: Simplify re into re 12.336 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.336 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 12.336 * [backup-simplify]: Simplify (+ 1 0) into 1 12.337 * [backup-simplify]: Simplify (sqrt 1) into 1 12.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.338 * [backup-simplify]: Simplify (+ 0 0) into 0 12.338 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.338 * [taylor]: Taking taylor expansion of (/ 1 re) in im 12.338 * [taylor]: Taking taylor expansion of re in im 12.338 * [backup-simplify]: Simplify re into re 12.339 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 12.339 * [backup-simplify]: Simplify (+ 1 0) into 1 12.339 * [backup-simplify]: Simplify (/ 1 1) into 1 12.339 * [backup-simplify]: Simplify (sqrt 0) into 0 12.340 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.340 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im))) 12.341 * [backup-simplify]: Simplify (* (* (sqrt 2.0) (fabs (/ -1 im))) 0) into 0 12.341 * [taylor]: Taking taylor expansion of 0 in re 12.341 * [backup-simplify]: Simplify 0 into 0 12.341 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ -1 im)))) into 0 12.342 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 12.342 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) in re 12.342 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) in re 12.342 * [taylor]: Taking taylor expansion of +nan.0 in re 12.342 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.342 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 12.342 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 12.342 * [taylor]: Taking taylor expansion of 2.0 in re 12.342 * [backup-simplify]: Simplify 2.0 into 2.0 12.342 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.343 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.343 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 12.343 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 12.343 * [backup-simplify]: Simplify 0 into 0 12.343 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 12.343 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 12.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 12.344 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0)) 12.345 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 12.345 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (fabs (/ -1 im))))) into 0 12.346 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))))) 12.346 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))))) in re 12.346 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) in re 12.346 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) in re 12.346 * [taylor]: Taking taylor expansion of +nan.0 in re 12.346 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.346 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (fabs (/ -1 im))) re) in re 12.346 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 12.346 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 12.346 * [taylor]: Taking taylor expansion of 2.0 in re 12.346 * [backup-simplify]: Simplify 2.0 into 2.0 12.347 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.347 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.347 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 12.347 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 12.347 * [taylor]: Taking taylor expansion of re in re 12.347 * [backup-simplify]: Simplify 0 into 0 12.347 * [backup-simplify]: Simplify 1 into 1 12.347 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im))) 12.348 * [backup-simplify]: Simplify (/ (* (sqrt 2.0) (fabs (/ -1 im))) 1) into (* (sqrt 2.0) (fabs (/ -1 im))) 12.348 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) in re 12.348 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) in re 12.348 * [taylor]: Taking taylor expansion of +nan.0 in re 12.348 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.348 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 12.348 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 12.348 * [taylor]: Taking taylor expansion of 2.0 in re 12.348 * [backup-simplify]: Simplify 2.0 into 2.0 12.348 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.349 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.349 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 12.349 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 12.349 * [backup-simplify]: Simplify (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) into (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) 12.349 * [backup-simplify]: Simplify (+ (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) 0) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 12.350 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 12.350 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 12.350 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im))) 12.351 * [backup-simplify]: Simplify (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) into (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) 12.351 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 12.351 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 12.352 * [backup-simplify]: Simplify 0 into 0 12.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.353 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 12.354 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 12.354 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 12.354 * [backup-simplify]: Simplify (- 0) into 0 12.354 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 12.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 12.355 * [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)))) 12.356 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 12.356 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fabs (/ -1 im)))))) into 0 12.358 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (* +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) (fabs (/ -1 im))) re)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))))))) 12.358 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))))))) in re 12.358 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))))) in re 12.358 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) in re 12.358 * [taylor]: Taking taylor expansion of +nan.0 in re 12.358 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.358 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (fabs (/ -1 im))) re) in re 12.358 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 12.358 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 12.358 * [taylor]: Taking taylor expansion of 2.0 in re 12.358 * [backup-simplify]: Simplify 2.0 into 2.0 12.358 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.359 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.359 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 12.359 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 12.359 * [taylor]: Taking taylor expansion of re in re 12.359 * [backup-simplify]: Simplify 0 into 0 12.359 * [backup-simplify]: Simplify 1 into 1 12.359 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im))) 12.359 * [backup-simplify]: Simplify (/ (* (sqrt 2.0) (fabs (/ -1 im))) 1) into (* (sqrt 2.0) (fabs (/ -1 im))) 12.359 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))))) in re 12.360 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) in re 12.360 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) in re 12.360 * [taylor]: Taking taylor expansion of +nan.0 in re 12.360 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.360 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2)) in re 12.360 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 12.360 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 12.360 * [taylor]: Taking taylor expansion of 2.0 in re 12.360 * [backup-simplify]: Simplify 2.0 into 2.0 12.360 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.360 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.360 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 12.360 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 12.360 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.360 * [taylor]: Taking taylor expansion of re in re 12.360 * [backup-simplify]: Simplify 0 into 0 12.361 * [backup-simplify]: Simplify 1 into 1 12.361 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im))) 12.361 * [backup-simplify]: Simplify (* 1 1) into 1 12.361 * [backup-simplify]: Simplify (/ (* (sqrt 2.0) (fabs (/ -1 im))) 1) into (* (sqrt 2.0) (fabs (/ -1 im))) 12.361 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) in re 12.361 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) in re 12.361 * [taylor]: Taking taylor expansion of +nan.0 in re 12.361 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.361 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 12.362 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 12.362 * [taylor]: Taking taylor expansion of 2.0 in re 12.362 * [backup-simplify]: Simplify 2.0 into 2.0 12.362 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.362 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.362 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 12.362 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 12.363 * [backup-simplify]: Simplify (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) into (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) 12.363 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ -1 im)))) into 0 12.368 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (/ 0 1)))) into 0 12.370 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2.0) (fabs (/ -1 im))))) into 0 12.371 * [backup-simplify]: Simplify (+ 0 0) into 0 12.371 * [backup-simplify]: Simplify (- 0) into 0 12.371 * [backup-simplify]: Simplify (+ (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) 0) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 12.372 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 12.372 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 12.374 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 (/ 1 (- im))))))) (* (/ 1 (/ 1 (- re))) (pow (/ 1 (- im)) 3))) (+ (* (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 (/ 1 (- im))))))) (* 1 (/ 1 (- im)))) (* (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 (/ 1 (- im))))))) (* (/ 1 (/ 1 (- re))) (pow (/ 1 (- im)) 2))))) into (- (+ (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) re)) (pow im 2))) (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) im)) (- (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) re)) (pow im 3)))))))) 12.374 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 12.374 * [backup-simplify]: Simplify (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) into (* (fabs im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) 12.374 * [approximate]: Taking taylor expansion of (* (fabs im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in (im re) around 0 12.374 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in re 12.374 * [taylor]: Taking taylor expansion of (fabs im) in re 12.374 * [backup-simplify]: Simplify (fabs im) into (fabs im) 12.374 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 12.374 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 12.374 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 12.374 * [taylor]: Taking taylor expansion of re in re 12.374 * [backup-simplify]: Simplify 0 into 0 12.374 * [backup-simplify]: Simplify 1 into 1 12.374 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 12.374 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 12.374 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.374 * [taylor]: Taking taylor expansion of re in re 12.374 * [backup-simplify]: Simplify 0 into 0 12.374 * [backup-simplify]: Simplify 1 into 1 12.374 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.374 * [taylor]: Taking taylor expansion of im in re 12.374 * [backup-simplify]: Simplify im into im 12.374 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.375 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 12.375 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 12.375 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.375 * [backup-simplify]: Simplify (+ 0 0) into 0 12.375 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 12.375 * [backup-simplify]: Simplify (+ 0 im) into im 12.375 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 12.375 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im)) 12.375 * [backup-simplify]: Simplify (+ 1 0) into 1 12.376 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 1 im)))) into (- (/ 1 (pow im 2))) 12.376 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2))) (* 2 (sqrt (/ 1 im)))) into (* -1/2 (sqrt (/ 1 (pow im 3)))) 12.376 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 12.376 * [taylor]: Taking taylor expansion of (fabs im) in im 12.376 * [backup-simplify]: Simplify (fabs im) into (fabs im) 12.376 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 12.376 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 12.376 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 12.376 * [taylor]: Taking taylor expansion of re in im 12.376 * [backup-simplify]: Simplify re into re 12.376 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 12.376 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 12.376 * [taylor]: Taking taylor expansion of (pow re 2) in im 12.376 * [taylor]: Taking taylor expansion of re in im 12.376 * [backup-simplify]: Simplify re into re 12.376 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.376 * [taylor]: Taking taylor expansion of im in im 12.376 * [backup-simplify]: Simplify 0 into 0 12.376 * [backup-simplify]: Simplify 1 into 1 12.376 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.376 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 12.376 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 12.376 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 12.377 * [backup-simplify]: Simplify (+ 0 0) into 0 12.377 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 12.377 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 12.377 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 12.377 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 12.377 * [backup-simplify]: Simplify (+ 0 0) into 0 12.377 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 12.377 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 12.377 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 12.377 * [taylor]: Taking taylor expansion of (fabs im) in im 12.377 * [backup-simplify]: Simplify (fabs im) into (fabs im) 12.377 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 12.377 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 12.377 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 12.377 * [taylor]: Taking taylor expansion of re in im 12.377 * [backup-simplify]: Simplify re into re 12.377 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 12.377 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 12.377 * [taylor]: Taking taylor expansion of (pow re 2) in im 12.378 * [taylor]: Taking taylor expansion of re in im 12.378 * [backup-simplify]: Simplify re into re 12.378 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.378 * [taylor]: Taking taylor expansion of im in im 12.378 * [backup-simplify]: Simplify 0 into 0 12.378 * [backup-simplify]: Simplify 1 into 1 12.378 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.378 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 12.378 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 12.378 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 12.378 * [backup-simplify]: Simplify (+ 0 0) into 0 12.378 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 12.378 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 12.378 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 12.378 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 12.379 * [backup-simplify]: Simplify (+ 0 0) into 0 12.379 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 12.379 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 12.379 * [backup-simplify]: Simplify (* (fabs im) (* (sqrt (/ 1 re)) (sqrt 1/2))) into (* (* (fabs im) (sqrt 1/2)) (sqrt (/ 1 re))) 12.379 * [taylor]: Taking taylor expansion of (* (* (fabs im) (sqrt 1/2)) (sqrt (/ 1 re))) in re 12.379 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 1/2)) in re 12.379 * [taylor]: Taking taylor expansion of (fabs im) in re 12.379 * [backup-simplify]: Simplify (fabs im) into (fabs im) 12.379 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 12.379 * [taylor]: Taking taylor expansion of 1/2 in re 12.379 * [backup-simplify]: Simplify 1/2 into 1/2 12.380 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 12.380 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 12.380 * [taylor]: Taking taylor expansion of (sqrt (/ 1 re)) in re 12.380 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.380 * [taylor]: Taking taylor expansion of re in re 12.380 * [backup-simplify]: Simplify 0 into 0 12.380 * [backup-simplify]: Simplify 1 into 1 12.380 * [backup-simplify]: Simplify (/ 1 1) into 1 12.381 * [backup-simplify]: Simplify (sqrt 0) into 0 12.381 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.382 * [backup-simplify]: Simplify (* (fabs im) (sqrt 1/2)) into (* (fabs im) (sqrt 1/2)) 12.382 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (* 0 (sqrt 1/2))) into 0 12.383 * [backup-simplify]: Simplify (+ (* (* (fabs im) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (fabs im) (sqrt 1/2)))) 12.384 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs im) (sqrt 1/2)))) into (- (* +nan.0 (* (fabs im) (sqrt 1/2)))) 12.385 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2)))) into 0 12.385 * [taylor]: Taking taylor expansion of 0 in re 12.385 * [backup-simplify]: Simplify 0 into 0 12.385 * [backup-simplify]: Simplify 0 into 0 12.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.390 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.391 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 12.392 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 12.393 * [backup-simplify]: Simplify (+ (* (* (fabs im) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (fabs im) (sqrt 1/2)))) 12.394 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs im) (sqrt 1/2)))) into (- (* +nan.0 (* (fabs im) (sqrt 1/2)))) 12.394 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 12.395 * [backup-simplify]: Simplify (* 1 1) into 1 12.395 * [backup-simplify]: Simplify (+ 0 1) into 1 12.396 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 12.396 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re)) 12.397 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ (* 1/2 (/ 1 re)) (* 2 re))) (* 0 (/ 0 (* 2 re))))) into (- (* 1/8 (/ 1 (pow re 3)))) 12.398 * [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)))) 12.400 * [backup-simplify]: Simplify (+ (* (fabs im) (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2))))) (+ (* 0 0) (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2))))) into (- (* 1/16 (* (/ (fabs im) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) 12.400 * [taylor]: Taking taylor expansion of (- (* 1/16 (* (/ (fabs im) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) in re 12.400 * [taylor]: Taking taylor expansion of (* 1/16 (* (/ (fabs im) (sqrt 1/2)) (sqrt (/ 1 (pow re 5))))) in re 12.400 * [taylor]: Taking taylor expansion of 1/16 in re 12.400 * [backup-simplify]: Simplify 1/16 into 1/16 12.400 * [taylor]: Taking taylor expansion of (* (/ (fabs im) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))) in re 12.401 * [taylor]: Taking taylor expansion of (/ (fabs im) (sqrt 1/2)) in re 12.401 * [taylor]: Taking taylor expansion of (fabs im) in re 12.401 * [backup-simplify]: Simplify (fabs im) into (fabs im) 12.401 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 12.401 * [taylor]: Taking taylor expansion of 1/2 in re 12.401 * [backup-simplify]: Simplify 1/2 into 1/2 12.401 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 12.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 12.402 * [backup-simplify]: Simplify (/ (fabs im) (sqrt 1/2)) into (/ (fabs im) (sqrt 1/2)) 12.402 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 5))) in re 12.402 * [taylor]: Taking taylor expansion of (/ 1 (pow re 5)) in re 12.402 * [taylor]: Taking taylor expansion of (pow re 5) in re 12.402 * [taylor]: Taking taylor expansion of re in re 12.402 * [backup-simplify]: Simplify 0 into 0 12.402 * [backup-simplify]: Simplify 1 into 1 12.403 * [backup-simplify]: Simplify (* 1 1) into 1 12.403 * [backup-simplify]: Simplify (* 1 1) into 1 12.404 * [backup-simplify]: Simplify (* 1 1) into 1 12.404 * [backup-simplify]: Simplify (/ 1 1) into 1 12.404 * [backup-simplify]: Simplify (sqrt 0) into 0 12.406 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.409 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.415 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.419 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.420 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (fabs im) (sqrt 1/2)) (/ 0 (sqrt 1/2))))) into 0 12.421 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 12.424 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (fabs im) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0 12.425 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 12.428 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (fabs im) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0 12.429 * [backup-simplify]: Simplify (+ (* (/ (fabs im) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ (fabs im) (sqrt 1/2)))) 12.430 * [backup-simplify]: Simplify (+ (* (/ (fabs im) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (fabs im) (sqrt 1/2)))) 12.431 * [backup-simplify]: Simplify (+ (* (/ (fabs im) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (fabs im) (sqrt 1/2)))) 12.432 * [backup-simplify]: Simplify (* (/ (fabs im) (sqrt 1/2)) 0) into 0 12.434 * [backup-simplify]: Simplify (+ (* 1/16 (- (* +nan.0 (/ (fabs im) (sqrt 1/2))))) (+ (* 0 (- (* +nan.0 (/ (fabs im) (sqrt 1/2))))) (+ (* 0 (- (* +nan.0 (/ (fabs im) (sqrt 1/2))))) (* 0 0)))) into (- (* +nan.0 (/ (fabs im) (sqrt 1/2)))) 12.434 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (fabs im) (sqrt 1/2))))) into (- (* +nan.0 (/ (fabs im) (sqrt 1/2)))) 12.435 * [backup-simplify]: Simplify (- (* +nan.0 (/ (fabs im) (sqrt 1/2)))) into (- (* +nan.0 (/ (fabs im) (sqrt 1/2)))) 12.437 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ (fabs im) (sqrt 1/2)))) (pow (* 1 im) 2)) (+ (* (- (* +nan.0 (* (fabs im) (sqrt 1/2)))) (* re 1)) (- (* +nan.0 (* (fabs im) (sqrt 1/2)))))) into (- (+ (* +nan.0 (/ (* (fabs im) (pow im 2)) (sqrt 1/2))) (- (+ (* +nan.0 (* (fabs im) (* re (sqrt 1/2)))) (- (* +nan.0 (* (fabs im) (sqrt 1/2)))))))) 12.438 * [backup-simplify]: Simplify (/ (fabs (/ 1 im)) (sqrt (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (fabs (/ 1 im)) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) 12.438 * [approximate]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in (im re) around 0 12.438 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re 12.438 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 12.438 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 12.438 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 12.438 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 12.438 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 12.438 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.438 * [taylor]: Taking taylor expansion of re in re 12.438 * [backup-simplify]: Simplify 0 into 0 12.438 * [backup-simplify]: Simplify 1 into 1 12.438 * [backup-simplify]: Simplify (/ 1 1) into 1 12.438 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 12.438 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 12.438 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 12.439 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.439 * [taylor]: Taking taylor expansion of im in re 12.439 * [backup-simplify]: Simplify im into im 12.439 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.439 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 12.439 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 12.439 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.439 * [taylor]: Taking taylor expansion of re in re 12.439 * [backup-simplify]: Simplify 0 into 0 12.439 * [backup-simplify]: Simplify 1 into 1 12.439 * [backup-simplify]: Simplify (* 1 1) into 1 12.440 * [backup-simplify]: Simplify (/ 1 1) into 1 12.440 * [backup-simplify]: Simplify (+ 0 1) into 1 12.440 * [backup-simplify]: Simplify (sqrt 1) into 1 12.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.442 * [backup-simplify]: Simplify (+ 0 0) into 0 12.443 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.443 * [backup-simplify]: Simplify (+ 1 1) into 2 12.444 * [backup-simplify]: Simplify (/ 1 2) into 1/2 12.444 * [backup-simplify]: Simplify (sqrt 0) into 0 12.446 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0 12.446 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 12.446 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im 12.446 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 12.446 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 12.446 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 12.446 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 12.446 * [taylor]: Taking taylor expansion of (/ 1 re) in im 12.446 * [taylor]: Taking taylor expansion of re in im 12.446 * [backup-simplify]: Simplify re into re 12.446 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 12.446 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 12.446 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 12.446 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 12.447 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.447 * [taylor]: Taking taylor expansion of im in im 12.447 * [backup-simplify]: Simplify 0 into 0 12.447 * [backup-simplify]: Simplify 1 into 1 12.447 * [backup-simplify]: Simplify (* 1 1) into 1 12.447 * [backup-simplify]: Simplify (/ 1 1) into 1 12.447 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 12.447 * [taylor]: Taking taylor expansion of (pow re 2) in im 12.447 * [taylor]: Taking taylor expansion of re in im 12.447 * [backup-simplify]: Simplify re into re 12.447 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.448 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 12.448 * [backup-simplify]: Simplify (+ 1 0) into 1 12.448 * [backup-simplify]: Simplify (sqrt 1) into 1 12.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.450 * [backup-simplify]: Simplify (+ 0 0) into 0 12.451 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.451 * [backup-simplify]: Simplify (+ 0 1) into 1 12.452 * [backup-simplify]: Simplify (/ 1 1) into 1 12.452 * [backup-simplify]: Simplify (sqrt 0) into 0 12.453 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.454 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 12.454 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im 12.454 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 12.454 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 12.454 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 12.454 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 12.454 * [taylor]: Taking taylor expansion of (/ 1 re) in im 12.454 * [taylor]: Taking taylor expansion of re in im 12.454 * [backup-simplify]: Simplify re into re 12.454 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 12.454 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 12.454 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 12.454 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 12.454 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.454 * [taylor]: Taking taylor expansion of im in im 12.454 * [backup-simplify]: Simplify 0 into 0 12.454 * [backup-simplify]: Simplify 1 into 1 12.455 * [backup-simplify]: Simplify (* 1 1) into 1 12.455 * [backup-simplify]: Simplify (/ 1 1) into 1 12.455 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 12.455 * [taylor]: Taking taylor expansion of (pow re 2) in im 12.455 * [taylor]: Taking taylor expansion of re in im 12.455 * [backup-simplify]: Simplify re into re 12.455 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.455 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 12.456 * [backup-simplify]: Simplify (+ 1 0) into 1 12.456 * [backup-simplify]: Simplify (sqrt 1) into 1 12.457 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.458 * [backup-simplify]: Simplify (+ 0 0) into 0 12.459 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.459 * [backup-simplify]: Simplify (+ 0 1) into 1 12.459 * [backup-simplify]: Simplify (/ 1 1) into 1 12.460 * [backup-simplify]: Simplify (sqrt 0) into 0 12.461 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.461 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) 0) into 0 12.461 * [taylor]: Taking taylor expansion of 0 in re 12.461 * [backup-simplify]: Simplify 0 into 0 12.461 * [backup-simplify]: Simplify 0 into 0 12.462 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) +nan.0) (* 0 0)) into (- (* +nan.0 (fabs (/ 1 im)))) 12.462 * [taylor]: Taking taylor expansion of (- (* +nan.0 (fabs (/ 1 im)))) in re 12.462 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (/ 1 im))) in re 12.462 * [taylor]: Taking taylor expansion of +nan.0 in re 12.462 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.462 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 12.462 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 12.463 * [backup-simplify]: Simplify (* +nan.0 (fabs (/ 1 im))) into (* +nan.0 (fabs (/ 1 im))) 12.463 * [backup-simplify]: Simplify (- (* +nan.0 (fabs (/ 1 im)))) into (- (* +nan.0 (fabs (/ 1 im)))) 12.463 * [backup-simplify]: Simplify (- (* +nan.0 (fabs (/ 1 im)))) into (- (* +nan.0 (fabs (/ 1 im)))) 12.463 * [backup-simplify]: Simplify 0 into 0 12.463 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 12.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 12.465 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0))) 12.466 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (fabs (/ 1 im))) (- (* +nan.0 (/ (fabs (/ 1 im)) re))))) 12.466 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (fabs (/ 1 im))) (- (* +nan.0 (/ (fabs (/ 1 im)) re))))) in re 12.466 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (fabs (/ 1 im))) (- (* +nan.0 (/ (fabs (/ 1 im)) re)))) in re 12.466 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (/ 1 im))) in re 12.466 * [taylor]: Taking taylor expansion of +nan.0 in re 12.466 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.466 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 12.466 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 12.466 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (fabs (/ 1 im)) re))) in re 12.466 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (fabs (/ 1 im)) re)) in re 12.466 * [taylor]: Taking taylor expansion of +nan.0 in re 12.466 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.466 * [taylor]: Taking taylor expansion of (/ (fabs (/ 1 im)) re) in re 12.466 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 12.466 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 12.466 * [taylor]: Taking taylor expansion of re in re 12.466 * [backup-simplify]: Simplify 0 into 0 12.466 * [backup-simplify]: Simplify 1 into 1 12.467 * [backup-simplify]: Simplify (/ (fabs (/ 1 im)) 1) into (fabs (/ 1 im)) 12.467 * [backup-simplify]: Simplify (* +nan.0 (fabs (/ 1 im))) into (* +nan.0 (fabs (/ 1 im))) 12.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (fabs (/ 1 im)) (/ 0 1)))) into 0 12.468 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (fabs (/ 1 im)))) into 0 12.469 * [backup-simplify]: Simplify (- 0) into 0 12.469 * [backup-simplify]: Simplify (+ (* +nan.0 (fabs (/ 1 im))) 0) into (- (* +nan.0 (fabs (/ 1 im)))) 12.469 * [backup-simplify]: Simplify (- (- (* +nan.0 (fabs (/ 1 im))))) into (- (* +nan.0 (fabs (/ 1 im)))) 12.469 * [backup-simplify]: Simplify (- (* +nan.0 (fabs (/ 1 im)))) into (- (* +nan.0 (fabs (/ 1 im)))) 12.470 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (fabs (/ 1 im)))) into 0 12.470 * [backup-simplify]: Simplify (- 0) into 0 12.470 * [backup-simplify]: Simplify 0 into 0 12.470 * [backup-simplify]: Simplify 0 into 0 12.470 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 12.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.472 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 12.474 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 12.474 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 12.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 12.475 * [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)))) 12.477 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) (* +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 (fabs (/ 1 im))) (- (+ (* +nan.0 (/ (fabs (/ 1 im)) re)) (- (* +nan.0 (/ (fabs (/ 1 im)) (pow re 2)))))))) 12.478 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (fabs (/ 1 im))) (- (+ (* +nan.0 (/ (fabs (/ 1 im)) re)) (- (* +nan.0 (/ (fabs (/ 1 im)) (pow re 2)))))))) in re 12.478 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (fabs (/ 1 im))) (- (+ (* +nan.0 (/ (fabs (/ 1 im)) re)) (- (* +nan.0 (/ (fabs (/ 1 im)) (pow re 2))))))) in re 12.478 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (/ 1 im))) in re 12.478 * [taylor]: Taking taylor expansion of +nan.0 in re 12.478 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.478 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 12.478 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 12.478 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (fabs (/ 1 im)) re)) (- (* +nan.0 (/ (fabs (/ 1 im)) (pow re 2)))))) in re 12.478 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (fabs (/ 1 im)) re)) (- (* +nan.0 (/ (fabs (/ 1 im)) (pow re 2))))) in re 12.478 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (fabs (/ 1 im)) re)) in re 12.478 * [taylor]: Taking taylor expansion of +nan.0 in re 12.478 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.478 * [taylor]: Taking taylor expansion of (/ (fabs (/ 1 im)) re) in re 12.478 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 12.478 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 12.478 * [taylor]: Taking taylor expansion of re in re 12.478 * [backup-simplify]: Simplify 0 into 0 12.478 * [backup-simplify]: Simplify 1 into 1 12.478 * [backup-simplify]: Simplify (/ (fabs (/ 1 im)) 1) into (fabs (/ 1 im)) 12.478 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (fabs (/ 1 im)) (pow re 2)))) in re 12.478 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (fabs (/ 1 im)) (pow re 2))) in re 12.478 * [taylor]: Taking taylor expansion of +nan.0 in re 12.478 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.478 * [taylor]: Taking taylor expansion of (/ (fabs (/ 1 im)) (pow re 2)) in re 12.478 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 12.479 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 12.479 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.479 * [taylor]: Taking taylor expansion of re in re 12.479 * [backup-simplify]: Simplify 0 into 0 12.479 * [backup-simplify]: Simplify 1 into 1 12.479 * [backup-simplify]: Simplify (* 1 1) into 1 12.479 * [backup-simplify]: Simplify (/ (fabs (/ 1 im)) 1) into (fabs (/ 1 im)) 12.479 * [backup-simplify]: Simplify (* +nan.0 (fabs (/ 1 im))) into (* +nan.0 (fabs (/ 1 im))) 12.480 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (fabs (/ 1 im)) (/ 0 1)))) into 0 12.481 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (fabs (/ 1 im)))) into 0 12.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.482 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (fabs (/ 1 im)) (/ 0 1)))) into 0 12.485 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (fabs (/ 1 im)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.485 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (fabs (/ 1 im))))) into 0 12.486 * [backup-simplify]: Simplify (- 0) into 0 12.486 * [backup-simplify]: Simplify (+ 0 0) into 0 12.486 * [backup-simplify]: Simplify (- 0) into 0 12.487 * [backup-simplify]: Simplify (+ (* +nan.0 (fabs (/ 1 im))) 0) into (- (* +nan.0 (fabs (/ 1 im)))) 12.487 * [backup-simplify]: Simplify (- (- (* +nan.0 (fabs (/ 1 im))))) into (- (* +nan.0 (fabs (/ 1 im)))) 12.487 * [backup-simplify]: Simplify (- (* +nan.0 (fabs (/ 1 im)))) into (- (* +nan.0 (fabs (/ 1 im)))) 12.488 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (fabs (/ 1 (/ 1 im))))) (pow (* 1 (/ 1 im)) 3)) (+ (* (- (* +nan.0 (fabs (/ 1 (/ 1 im))))) (pow (* 1 (/ 1 im)) 2)) (* (- (* +nan.0 (fabs (/ 1 (/ 1 im))))) (* 1 (/ 1 im))))) into (- (+ (* +nan.0 (/ (fabs im) im)) (- (+ (* +nan.0 (/ (fabs im) (pow im 2))) (- (* +nan.0 (/ (fabs im) (pow im 3)))))))) 12.489 * [backup-simplify]: Simplify (/ (fabs (/ 1 (- im))) (sqrt (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (fabs (/ -1 im)) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) 12.489 * [approximate]: Taking taylor expansion of (* (fabs (/ -1 im)) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in (im re) around 0 12.489 * [taylor]: Taking taylor expansion of (* (fabs (/ -1 im)) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in re 12.489 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 12.489 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 12.489 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 12.489 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 12.489 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 12.489 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 12.489 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 12.489 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 12.489 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.489 * [taylor]: Taking taylor expansion of im in re 12.489 * [backup-simplify]: Simplify im into im 12.489 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.490 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 12.490 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 12.490 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.490 * [taylor]: Taking taylor expansion of re in re 12.490 * [backup-simplify]: Simplify 0 into 0 12.490 * [backup-simplify]: Simplify 1 into 1 12.490 * [backup-simplify]: Simplify (* 1 1) into 1 12.491 * [backup-simplify]: Simplify (/ 1 1) into 1 12.491 * [backup-simplify]: Simplify (+ 0 1) into 1 12.492 * [backup-simplify]: Simplify (sqrt 1) into 1 12.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.493 * [backup-simplify]: Simplify (+ 0 0) into 0 12.494 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.494 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.494 * [taylor]: Taking taylor expansion of re in re 12.494 * [backup-simplify]: Simplify 0 into 0 12.494 * [backup-simplify]: Simplify 1 into 1 12.495 * [backup-simplify]: Simplify (/ 1 1) into 1 12.495 * [backup-simplify]: Simplify (- 1) into -1 12.496 * [backup-simplify]: Simplify (+ 1 -1) into 0 12.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.497 * [backup-simplify]: Simplify (- 0) into 0 12.497 * [backup-simplify]: Simplify (+ 0 0) into 0 12.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.499 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 12.500 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 12.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.502 * [backup-simplify]: Simplify (- 0) into 0 12.502 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 12.502 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2)) 12.502 * [backup-simplify]: Simplify (sqrt 0) into 0 12.503 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2)) 12.503 * [taylor]: Taking taylor expansion of (* (fabs (/ -1 im)) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 12.503 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im 12.503 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 12.503 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 12.503 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 12.503 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 12.503 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 12.503 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 12.504 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 12.504 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.504 * [taylor]: Taking taylor expansion of im in im 12.504 * [backup-simplify]: Simplify 0 into 0 12.504 * [backup-simplify]: Simplify 1 into 1 12.504 * [backup-simplify]: Simplify (* 1 1) into 1 12.504 * [backup-simplify]: Simplify (/ 1 1) into 1 12.504 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 12.504 * [taylor]: Taking taylor expansion of (pow re 2) in im 12.504 * [taylor]: Taking taylor expansion of re in im 12.504 * [backup-simplify]: Simplify re into re 12.505 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.505 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 12.505 * [backup-simplify]: Simplify (+ 1 0) into 1 12.505 * [backup-simplify]: Simplify (sqrt 1) into 1 12.506 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.507 * [backup-simplify]: Simplify (+ 0 0) into 0 12.508 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.508 * [taylor]: Taking taylor expansion of (/ 1 re) in im 12.508 * [taylor]: Taking taylor expansion of re in im 12.508 * [backup-simplify]: Simplify re into re 12.508 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 12.509 * [backup-simplify]: Simplify (+ 1 0) into 1 12.509 * [backup-simplify]: Simplify (/ 1 1) into 1 12.509 * [backup-simplify]: Simplify (sqrt 0) into 0 12.511 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.511 * [taylor]: Taking taylor expansion of (* (fabs (/ -1 im)) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 12.511 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im 12.511 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 12.511 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 12.511 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 12.511 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 12.511 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 12.511 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 12.511 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 12.511 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.511 * [taylor]: Taking taylor expansion of im in im 12.511 * [backup-simplify]: Simplify 0 into 0 12.511 * [backup-simplify]: Simplify 1 into 1 12.512 * [backup-simplify]: Simplify (* 1 1) into 1 12.512 * [backup-simplify]: Simplify (/ 1 1) into 1 12.512 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 12.512 * [taylor]: Taking taylor expansion of (pow re 2) in im 12.512 * [taylor]: Taking taylor expansion of re in im 12.512 * [backup-simplify]: Simplify re into re 12.512 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.512 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 12.513 * [backup-simplify]: Simplify (+ 1 0) into 1 12.513 * [backup-simplify]: Simplify (sqrt 1) into 1 12.520 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.522 * [backup-simplify]: Simplify (+ 0 0) into 0 12.523 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.523 * [taylor]: Taking taylor expansion of (/ 1 re) in im 12.523 * [taylor]: Taking taylor expansion of re in im 12.523 * [backup-simplify]: Simplify re into re 12.523 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 12.523 * [backup-simplify]: Simplify (+ 1 0) into 1 12.524 * [backup-simplify]: Simplify (/ 1 1) into 1 12.524 * [backup-simplify]: Simplify (sqrt 0) into 0 12.525 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.526 * [backup-simplify]: Simplify (* (fabs (/ -1 im)) 0) into 0 12.526 * [taylor]: Taking taylor expansion of 0 in re 12.526 * [backup-simplify]: Simplify 0 into 0 12.526 * [backup-simplify]: Simplify (+ (* (fabs (/ -1 im)) +nan.0) (* 0 0)) into (- (* +nan.0 (fabs (/ -1 im)))) 12.526 * [taylor]: Taking taylor expansion of (- (* +nan.0 (fabs (/ -1 im)))) in re 12.526 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (/ -1 im))) in re 12.526 * [taylor]: Taking taylor expansion of +nan.0 in re 12.526 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.526 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 12.526 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 12.526 * [backup-simplify]: Simplify 0 into 0 12.526 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 12.526 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 12.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 12.527 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0)) 12.528 * [backup-simplify]: Simplify (+ (* (fabs (/ -1 im)) (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (fabs (/ -1 im))) (- (* +nan.0 (/ (fabs (/ -1 im)) re))))) 12.528 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (fabs (/ -1 im))) (- (* +nan.0 (/ (fabs (/ -1 im)) re))))) in re 12.528 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (fabs (/ -1 im))) (- (* +nan.0 (/ (fabs (/ -1 im)) re)))) in re 12.528 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (/ -1 im))) in re 12.528 * [taylor]: Taking taylor expansion of +nan.0 in re 12.528 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.528 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 12.528 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 12.528 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (fabs (/ -1 im)) re))) in re 12.528 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (fabs (/ -1 im)) re)) in re 12.528 * [taylor]: Taking taylor expansion of +nan.0 in re 12.528 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.528 * [taylor]: Taking taylor expansion of (/ (fabs (/ -1 im)) re) in re 12.528 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 12.528 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 12.528 * [taylor]: Taking taylor expansion of re in re 12.528 * [backup-simplify]: Simplify 0 into 0 12.528 * [backup-simplify]: Simplify 1 into 1 12.528 * [backup-simplify]: Simplify (/ (fabs (/ -1 im)) 1) into (fabs (/ -1 im)) 12.528 * [backup-simplify]: Simplify (* +nan.0 (fabs (/ -1 im))) into (* +nan.0 (fabs (/ -1 im))) 12.528 * [backup-simplify]: Simplify (- (* +nan.0 (fabs (/ -1 im)))) into (- (* +nan.0 (fabs (/ -1 im)))) 12.528 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (fabs (/ -1 im))))) into (- (* +nan.0 (fabs (/ -1 im)))) 12.528 * [backup-simplify]: Simplify (- (- (* +nan.0 (fabs (/ -1 im))))) into (- (* +nan.0 (fabs (/ -1 im)))) 12.529 * [backup-simplify]: Simplify (- (* +nan.0 (fabs (/ -1 im)))) into (- (* +nan.0 (fabs (/ -1 im)))) 12.529 * [backup-simplify]: Simplify (* +nan.0 (fabs (/ -1 im))) into (* +nan.0 (fabs (/ -1 im))) 12.529 * [backup-simplify]: Simplify (- (* +nan.0 (fabs (/ -1 im)))) into (- (* +nan.0 (fabs (/ -1 im)))) 12.529 * [backup-simplify]: Simplify (- (* +nan.0 (fabs (/ -1 im)))) into (- (* +nan.0 (fabs (/ -1 im)))) 12.529 * [backup-simplify]: Simplify 0 into 0 12.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.530 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 12.531 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 12.531 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 12.531 * [backup-simplify]: Simplify (- 0) into 0 12.531 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 12.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 12.532 * [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)))) 12.533 * [backup-simplify]: Simplify (+ (* (fabs (/ -1 im)) (* +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 (fabs (/ -1 im))) (- (+ (* +nan.0 (/ (fabs (/ -1 im)) (pow re 2))) (- (* +nan.0 (/ (fabs (/ -1 im)) re))))))) 12.533 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (fabs (/ -1 im))) (- (+ (* +nan.0 (/ (fabs (/ -1 im)) (pow re 2))) (- (* +nan.0 (/ (fabs (/ -1 im)) re))))))) in re 12.533 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (fabs (/ -1 im))) (- (+ (* +nan.0 (/ (fabs (/ -1 im)) (pow re 2))) (- (* +nan.0 (/ (fabs (/ -1 im)) re)))))) in re 12.533 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (/ -1 im))) in re 12.533 * [taylor]: Taking taylor expansion of +nan.0 in re 12.533 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.533 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 12.533 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 12.533 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (fabs (/ -1 im)) (pow re 2))) (- (* +nan.0 (/ (fabs (/ -1 im)) re))))) in re 12.534 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (fabs (/ -1 im)) (pow re 2))) (- (* +nan.0 (/ (fabs (/ -1 im)) re)))) in re 12.534 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (fabs (/ -1 im)) (pow re 2))) in re 12.534 * [taylor]: Taking taylor expansion of +nan.0 in re 12.534 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.534 * [taylor]: Taking taylor expansion of (/ (fabs (/ -1 im)) (pow re 2)) in re 12.534 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 12.534 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 12.534 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.534 * [taylor]: Taking taylor expansion of re in re 12.534 * [backup-simplify]: Simplify 0 into 0 12.534 * [backup-simplify]: Simplify 1 into 1 12.534 * [backup-simplify]: Simplify (* 1 1) into 1 12.534 * [backup-simplify]: Simplify (/ (fabs (/ -1 im)) 1) into (fabs (/ -1 im)) 12.534 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (fabs (/ -1 im)) re))) in re 12.534 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (fabs (/ -1 im)) re)) in re 12.534 * [taylor]: Taking taylor expansion of +nan.0 in re 12.534 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.534 * [taylor]: Taking taylor expansion of (/ (fabs (/ -1 im)) re) in re 12.534 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 12.534 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 12.534 * [taylor]: Taking taylor expansion of re in re 12.534 * [backup-simplify]: Simplify 0 into 0 12.534 * [backup-simplify]: Simplify 1 into 1 12.534 * [backup-simplify]: Simplify (/ (fabs (/ -1 im)) 1) into (fabs (/ -1 im)) 12.535 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (fabs (/ -1 im)) (/ 0 1)))) into 0 12.536 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (fabs (/ -1 im)))) into 0 12.536 * [backup-simplify]: Simplify (* +nan.0 (fabs (/ -1 im))) into (* +nan.0 (fabs (/ -1 im))) 12.536 * [backup-simplify]: Simplify (- (* +nan.0 (fabs (/ -1 im)))) into (- (* +nan.0 (fabs (/ -1 im)))) 12.536 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (fabs (/ -1 im))))) into (- (* +nan.0 (fabs (/ -1 im)))) 12.536 * [backup-simplify]: Simplify (- (- (* +nan.0 (fabs (/ -1 im))))) into (- (* +nan.0 (fabs (/ -1 im)))) 12.536 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (fabs (/ -1 im))))) into (- (* +nan.0 (fabs (/ -1 im)))) 12.536 * [backup-simplify]: Simplify (- (- (* +nan.0 (fabs (/ -1 im))))) into (- (* +nan.0 (fabs (/ -1 im)))) 12.536 * [backup-simplify]: Simplify (- (* +nan.0 (fabs (/ -1 im)))) into (- (* +nan.0 (fabs (/ -1 im)))) 12.537 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (fabs (/ -1 (/ 1 (- im)))))) (* (/ 1 (/ 1 (- re))) (pow (/ 1 (- im)) 3))) (+ (* (- (* +nan.0 (fabs (/ -1 (/ 1 (- im)))))) (* 1 (/ 1 (- im)))) (* (- (* +nan.0 (fabs (/ -1 (/ 1 (- im)))))) (* (/ 1 (/ 1 (- re))) (pow (/ 1 (- im)) 2))))) into (- (+ (* +nan.0 (/ (fabs im) im)) (- (+ (* +nan.0 (/ (* (fabs im) re) (pow im 2))) (- (* +nan.0 (/ (* (fabs im) re) (pow im 3)))))))) 12.537 * * * [progress]: simplifying candidates 12.539 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (+ (log (sqrt 2.0)) (- (log (fabs im)) (log (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (+ (log (sqrt 2.0)) (log (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (log (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (exp (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (/ (* (* (fabs im) (fabs im)) (fabs im)) (* (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (cbrt (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))) (cbrt (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (* (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (sqrt (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (sqrt (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (sqrt (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (sqrt (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt 2.0) (* (cbrt (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (sqrt 2.0) (sqrt (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt 2.0) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (sqrt 2.0) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (sqrt 2.0) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt 2.0) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt 1))) (* (sqrt 2.0) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt 1))) (* (sqrt 2.0) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt 2.0) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) 1)) (* (sqrt 2.0) (/ (sqrt (fabs im)) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (sqrt 2.0) (/ (sqrt (fabs im)) (sqrt (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (sqrt 2.0) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt 2.0) (/ (sqrt (fabs im)) (sqrt 1))) (* (sqrt 2.0) (/ (sqrt (fabs im)) (sqrt 1))) (* (sqrt 2.0) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt 2.0) (/ (sqrt (fabs im)) 1)) (* (sqrt 2.0) (/ 1 (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (sqrt 2.0) (/ 1 (sqrt (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (sqrt 2.0) (/ 1 (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt 2.0) (/ 1 (sqrt 1))) (* (sqrt 2.0) (/ 1 (sqrt 1))) (* (sqrt 2.0) (/ 1 (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt 2.0) (/ 1 1)) (* (sqrt 2.0) 1) (* (sqrt 2.0) (fabs im)) (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))) (* (sqrt 2.0) (/ (fabs im) (sqrt (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))))) (* (cbrt (sqrt 2.0)) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (cbrt 2.0)) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (sqrt 2.0)) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (sqrt 2.0)) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt 2.0) (fabs im)) (- (log (fabs im)) (log (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (log (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (* (* (fabs im) (fabs im)) (fabs im)) (* (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (* (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (- (fabs im)) (- (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (cbrt (fabs im)) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (cbrt (fabs im)) (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt 1)) (/ (cbrt (fabs im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt 1)) (/ (cbrt (fabs im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) 1) (/ (cbrt (fabs im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (fabs im)) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (sqrt (fabs im)) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (fabs im)) (sqrt (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (sqrt (fabs im)) (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (fabs im)) (sqrt 1)) (/ (sqrt (fabs im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (fabs im)) (sqrt 1)) (/ (sqrt (fabs im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (fabs im)) 1) (/ (sqrt (fabs im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ 1 (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (fabs im) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ 1 (sqrt (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (fabs im) (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ 1 (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ 1 (sqrt 1)) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ 1 (sqrt 1)) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ 1 (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ 1 1) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ 1 (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (fabs im)) (/ (fabs im) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (fabs im) (sqrt (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (fabs im) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt 1)) (/ (fabs im) (sqrt 1)) (/ (fabs im) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) 1) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (fabs im))) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (fabs im))) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (fabs im)) (/ (fabs im) (sqrt (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (/ (fabs im) (sqrt (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) im re (* -1 re) (+ re im) (* 2 re) 0 (- (+ (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) (pow im 2))) (sqrt 1/2))) (- (+ (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 1/2)))) (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (* (sqrt 1/2) re))))))))) (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow im 3))) (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) im)) (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow im 2)))))))) (- (+ (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) re)) (pow im 2))) (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) im)) (- (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) re)) (pow im 3)))))))) (- (+ (* +nan.0 (/ (* (fabs im) (pow im 2)) (sqrt 1/2))) (- (+ (* +nan.0 (* (fabs im) (* re (sqrt 1/2)))) (- (* +nan.0 (* (fabs im) (sqrt 1/2)))))))) (- (+ (* +nan.0 (/ (fabs im) im)) (- (+ (* +nan.0 (/ (fabs im) (pow im 2))) (- (* +nan.0 (/ (fabs im) (pow im 3)))))))) (- (+ (* +nan.0 (/ (fabs im) im)) (- (+ (* +nan.0 (/ (* (fabs im) re) (pow im 2))) (- (* +nan.0 (/ (* (fabs im) re) (pow im 3)))))))) 12.544 * * [simplify]: Extracting # 0 : cost 0 12.544 * * [simplify]: Extracting # 1 : cost 0 12.544 * * [simplify]: Extracting # 2 : cost 0 12.545 * * [simplify]: Extracting # 3 : cost 0 12.545 * * [simplify]: Extracting # 4 : cost 0 12.545 * * [simplify]: Extracting # 5 : cost 0 12.546 * * [simplify]: Extracting # 6 : cost 0 12.546 * * [simplify]: Extracting # 7 : cost 0 12.546 * * [simplify]: Extracting # 8 : cost 0 12.546 * * [simplify]: Extracting # 9 : cost 0 12.547 * * [simplify]: Extracting # 10 : cost 0 12.547 * * [simplify]: Extracting # 11 : cost 0 12.547 * * [simplify]: Extracting # 12 : cost 0 12.548 * * [simplify]: Extracting # 13 : cost 0 12.548 * * [simplify]: Extracting # 14 : cost 0 12.548 * * [simplify]: Extracting # 15 : cost 0 12.548 * * [simplify]: iteration 0 : 248 enodes (cost 2920 ) 12.628 * * [simplify]: Extracting # 0 : cost 0 12.629 * * [simplify]: Extracting # 1 : cost 0 12.630 * * [simplify]: Extracting # 2 : cost 0 12.631 * * [simplify]: Extracting # 3 : cost 0 12.631 * * [simplify]: Extracting # 4 : cost 0 12.632 * * [simplify]: iteration 1 : 598 enodes (cost 2628 ) 12.869 * * [simplify]: Extracting # 0 : cost 0 12.871 * * [simplify]: Extracting # 1 : cost 0 12.874 * * [simplify]: Extracting # 2 : cost 0 12.883 * * [simplify]: Extracting # 3 : cost 0 12.888 * * [simplify]: Extracting # 4 : cost 0 12.892 * * [simplify]: iteration 2 : 2009 enodes (cost 2460 ) 13.871 * * [simplify]: Extracting # 0 : cost 0 13.882 * * [simplify]: Extracting # 1 : cost 0 13.889 * * [simplify]: Extracting # 2 : cost 0 13.899 * * [simplify]: Extracting # 3 : cost 0 13.909 * * [simplify]: Extracting # 4 : cost 0 13.917 * * [simplify]: iteration done: 5000 enodes (cost 2407 ) 13.918 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ 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(* (* (sqrt 2.0) (sqrt 1/2)) (- 1 re))))) (* +nan.0 (+ (* (/ (fabs im) im) (- (sqrt 2.0) (/ (sqrt 2.0) im))) (- (/ (* (fabs im) (sqrt 2.0)) (pow im 3))))) (+ (/ (* +nan.0 (fabs im)) (/ im (sqrt 2.0))) (- (* (/ (* (fabs im) (* (sqrt 2.0) re)) (pow im 2)) (+ (/ +nan.0 im) +nan.0)))) (* +nan.0 (+ (- (/ (* (fabs im) (pow im 2)) (sqrt 1/2))) (* (fabs im) (- (* re (sqrt 1/2)) (sqrt 1/2))))) (+ (- (* +nan.0 (/ (fabs im) im))) (* (/ (fabs im) (pow im 2)) (- +nan.0 (/ +nan.0 im)))) (* +nan.0 (+ (- (/ (fabs im) im)) (* (/ (fabs im) (pow im 2)) (- re (/ re im))))) 13.919 * * * [progress]: adding candidates to table 14.552 * [progress]: [Phase 3 of 3] Extracting. 14.553 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #)