0.692 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.181 * * * [progress]: [2/2] Setting up program. 0.189 * [progress]: [Phase 2 of 3] Improving. 0.192 * [simplify]: Simplifying: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.194 * * [simplify]: Extracting # 0 : cost 0 0.194 * * [simplify]: Extracting # 1 : cost 0 0.195 * * [simplify]: Extracting # 2 : cost 0 0.195 * * [simplify]: Extracting # 3 : cost 0 0.195 * * [simplify]: Extracting # 4 : cost 0 0.195 * * [simplify]: Extracting # 5 : cost 0 0.195 * * [simplify]: Extracting # 6 : cost 0 0.195 * * [simplify]: Extracting # 7 : cost 0 0.195 * * [simplify]: Extracting # 8 : cost 0 0.195 * * [simplify]: iteration 0 : 12 enodes (cost 15 ) 0.204 * * [simplify]: Extracting # 0 : cost 0 0.204 * * [simplify]: Extracting # 1 : cost 0 0.204 * * [simplify]: Extracting # 2 : cost 0 0.204 * * [simplify]: iteration 1 : 17 enodes (cost 15 ) 0.209 * * [simplify]: Extracting # 0 : cost 0 0.209 * * [simplify]: Extracting # 1 : cost 0 0.209 * * [simplify]: Extracting # 2 : cost 0 0.209 * * [simplify]: iteration 2 : 24 enodes (cost 15 ) 0.217 * * [simplify]: Extracting # 0 : cost 0 0.217 * * [simplify]: Extracting # 1 : cost 0 0.217 * * [simplify]: Extracting # 2 : cost 0 0.217 * * [simplify]: iteration 3 : 30 enodes (cost 15 ) 0.226 * * [simplify]: Extracting # 0 : cost 0 0.226 * * [simplify]: Extracting # 1 : cost 0 0.226 * * [simplify]: Extracting # 2 : cost 0 0.226 * * [simplify]: iteration 4 : 35 enodes (cost 15 ) 0.236 * * [simplify]: Extracting # 0 : cost 0 0.236 * * [simplify]: iteration done: 35 enodes (cost 15 ) 0.236 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.238 * * [progress]: iteration 1 / 4 0.238 * * * [progress]: picking best candidate 0.243 * * * * [pick]: Picked # 0.243 * * * [progress]: localizing error 0.271 * * * [progress]: generating rewritten candidates 0.271 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.302 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.344 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.380 * * * [progress]: generating series expansions 0.381 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.386 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.386 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.386 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.387 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.387 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.387 * [taylor]: Taking taylor expansion of re in im 0.387 * [backup-simplify]: Simplify re into re 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 0.388 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.388 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.388 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.388 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.389 * [backup-simplify]: Simplify (+ 0 0) into 0 0.389 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.389 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.389 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.389 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.389 * [taylor]: Taking taylor expansion of re in re 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify 1 into 1 0.389 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.389 * [taylor]: Taking taylor expansion of im in re 0.389 * [backup-simplify]: Simplify im into im 0.389 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.389 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.389 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.389 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.390 * [backup-simplify]: Simplify (+ 0 0) into 0 0.390 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.390 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.390 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.390 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.390 * [taylor]: Taking taylor expansion of re in re 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify 1 into 1 0.390 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.390 * [taylor]: Taking taylor expansion of im in re 0.390 * [backup-simplify]: Simplify im into im 0.390 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.390 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.390 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.390 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.390 * [backup-simplify]: Simplify (+ 0 0) into 0 0.390 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.391 * [taylor]: Taking taylor expansion of im in im 0.391 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify 1 into 1 0.391 * [backup-simplify]: Simplify 0 into 0 0.391 * [taylor]: Taking taylor expansion of 0 in im 0.391 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify 1 into 1 0.392 * [backup-simplify]: Simplify (* 1 1) into 1 0.392 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.393 * [backup-simplify]: Simplify (+ 1 0) into 1 0.393 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.393 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.393 * [taylor]: Taking taylor expansion of 1/2 in im 0.393 * [backup-simplify]: Simplify 1/2 into 1/2 0.393 * [taylor]: Taking taylor expansion of im in im 0.393 * [backup-simplify]: Simplify 0 into 0 0.393 * [backup-simplify]: Simplify 1 into 1 0.394 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.394 * [backup-simplify]: Simplify 0 into 0 0.394 * [backup-simplify]: Simplify 0 into 0 0.394 * [backup-simplify]: Simplify 0 into 0 0.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.396 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.396 * [backup-simplify]: Simplify (+ 0 0) into 0 0.396 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.396 * [taylor]: Taking taylor expansion of 0 in im 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify 0 into 0 0.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.397 * [backup-simplify]: Simplify 0 into 0 0.397 * [backup-simplify]: Simplify 0 into 0 0.397 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.397 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.397 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.397 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.397 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.397 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.397 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.397 * [taylor]: Taking taylor expansion of im in im 0.397 * [backup-simplify]: Simplify 0 into 0 0.397 * [backup-simplify]: Simplify 1 into 1 0.398 * [backup-simplify]: Simplify (* 1 1) into 1 0.398 * [backup-simplify]: Simplify (/ 1 1) into 1 0.398 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.398 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.398 * [taylor]: Taking taylor expansion of re in im 0.398 * [backup-simplify]: Simplify re into re 0.398 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.398 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.398 * [backup-simplify]: Simplify (+ 1 0) into 1 0.399 * [backup-simplify]: Simplify (sqrt 1) into 1 0.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.400 * [backup-simplify]: Simplify (+ 0 0) into 0 0.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.400 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.400 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.400 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.400 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.400 * [taylor]: Taking taylor expansion of im in re 0.400 * [backup-simplify]: Simplify im into im 0.400 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.401 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.401 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.401 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.401 * [taylor]: Taking taylor expansion of re in re 0.401 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify 1 into 1 0.401 * [backup-simplify]: Simplify (* 1 1) into 1 0.401 * [backup-simplify]: Simplify (/ 1 1) into 1 0.401 * [backup-simplify]: Simplify (+ 0 1) into 1 0.402 * [backup-simplify]: Simplify (sqrt 1) into 1 0.402 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.403 * [backup-simplify]: Simplify (+ 0 0) into 0 0.403 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.403 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.403 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.403 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.403 * [taylor]: Taking taylor expansion of im in re 0.403 * [backup-simplify]: Simplify im into im 0.403 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.403 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.403 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.403 * [taylor]: Taking taylor expansion of re in re 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify 1 into 1 0.404 * [backup-simplify]: Simplify (* 1 1) into 1 0.404 * [backup-simplify]: Simplify (/ 1 1) into 1 0.404 * [backup-simplify]: Simplify (+ 0 1) into 1 0.404 * [backup-simplify]: Simplify (sqrt 1) into 1 0.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.405 * [backup-simplify]: Simplify (+ 0 0) into 0 0.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.406 * [taylor]: Taking taylor expansion of 1 in im 0.406 * [backup-simplify]: Simplify 1 into 1 0.406 * [taylor]: Taking taylor expansion of 0 in im 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify 1 into 1 0.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.407 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.408 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.408 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.408 * [taylor]: Taking taylor expansion of 1/2 in im 0.408 * [backup-simplify]: Simplify 1/2 into 1/2 0.408 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.408 * [taylor]: Taking taylor expansion of im in im 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify 1 into 1 0.409 * [backup-simplify]: Simplify (* 1 1) into 1 0.409 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.409 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.410 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.410 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.411 * [backup-simplify]: Simplify (+ 0 0) into 0 0.412 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.412 * [taylor]: Taking taylor expansion of 0 in im 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.413 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.413 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.413 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.413 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.413 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.413 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.413 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.413 * [taylor]: Taking taylor expansion of im in im 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 1 into 1 0.414 * [backup-simplify]: Simplify (* 1 1) into 1 0.414 * [backup-simplify]: Simplify (/ 1 1) into 1 0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.414 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.414 * [taylor]: Taking taylor expansion of re in im 0.414 * [backup-simplify]: Simplify re into re 0.414 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.414 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.414 * [backup-simplify]: Simplify (+ 1 0) 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 0.415 * [backup-simplify]: Simplify (+ 0 0) into 0 0.416 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.416 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.416 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.416 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.416 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.416 * [taylor]: Taking taylor expansion of im in re 0.416 * [backup-simplify]: Simplify im into im 0.416 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.416 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.416 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.416 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.416 * [taylor]: Taking taylor expansion of re in re 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [backup-simplify]: Simplify (* 1 1) into 1 0.417 * [backup-simplify]: Simplify (/ 1 1) into 1 0.417 * [backup-simplify]: Simplify (+ 0 1) into 1 0.417 * [backup-simplify]: Simplify (sqrt 1) into 1 0.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.418 * [backup-simplify]: Simplify (+ 0 0) into 0 0.418 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.419 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.419 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.419 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.419 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.419 * [taylor]: Taking taylor expansion of im in re 0.419 * [backup-simplify]: Simplify im into im 0.419 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.419 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.419 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.419 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.419 * [taylor]: Taking taylor expansion of re in re 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 1 into 1 0.419 * [backup-simplify]: Simplify (* 1 1) into 1 0.419 * [backup-simplify]: Simplify (/ 1 1) into 1 0.420 * [backup-simplify]: Simplify (+ 0 1) into 1 0.420 * [backup-simplify]: Simplify (sqrt 1) into 1 0.420 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.421 * [backup-simplify]: Simplify (+ 0 0) into 0 0.421 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.421 * [taylor]: Taking taylor expansion of 1 in im 0.421 * [backup-simplify]: Simplify 1 into 1 0.421 * [taylor]: Taking taylor expansion of 0 in im 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify 1 into 1 0.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.423 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.423 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.423 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.423 * [taylor]: Taking taylor expansion of 1/2 in im 0.423 * [backup-simplify]: Simplify 1/2 into 1/2 0.423 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.424 * [taylor]: Taking taylor expansion of im in im 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify 1 into 1 0.424 * [backup-simplify]: Simplify (* 1 1) into 1 0.424 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.425 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.426 * [backup-simplify]: Simplify (+ 0 0) into 0 0.427 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.427 * [taylor]: Taking taylor expansion of 0 in im 0.427 * [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) 0.428 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.428 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 0.428 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 0.428 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.428 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.428 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.428 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.428 * [taylor]: Taking taylor expansion of re in im 0.428 * [backup-simplify]: Simplify re into re 0.428 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.428 * [taylor]: Taking taylor expansion of im in im 0.428 * [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) 0.429 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.429 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.429 * [backup-simplify]: Simplify (+ 0 0) into 0 0.429 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 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 (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.429 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.429 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.429 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.429 * [taylor]: Taking taylor expansion of re in re 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify 1 into 1 0.429 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.429 * [taylor]: Taking taylor expansion of im in re 0.429 * [backup-simplify]: Simplify im into im 0.429 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.429 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.430 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.430 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.430 * [backup-simplify]: Simplify (+ 0 0) into 0 0.430 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.430 * [taylor]: Taking taylor expansion of 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 (- (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 0.430 * [taylor]: Taking taylor expansion of im in re 0.430 * [backup-simplify]: Simplify im into im 0.430 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.430 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.430 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.430 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.431 * [backup-simplify]: Simplify (+ 0 0) into 0 0.431 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.431 * [taylor]: Taking taylor expansion of re in re 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify 1 into 1 0.431 * [backup-simplify]: Simplify (- 0) into 0 0.431 * [backup-simplify]: Simplify (+ im 0) into im 0.431 * [taylor]: Taking taylor expansion of im in im 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify 1 into 1 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify (- 1) into -1 0.432 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.432 * [taylor]: Taking taylor expansion of -1 in im 0.432 * [backup-simplify]: Simplify -1 into -1 0.432 * [backup-simplify]: Simplify -1 into -1 0.432 * [backup-simplify]: Simplify 1 into 1 0.432 * [backup-simplify]: Simplify (* 1 1) into 1 0.432 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.433 * [backup-simplify]: Simplify (+ 1 0) into 1 0.433 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.433 * [backup-simplify]: Simplify (- 0) into 0 0.433 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 0.433 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.433 * [taylor]: Taking taylor expansion of 1/2 in im 0.433 * [backup-simplify]: Simplify 1/2 into 1/2 0.433 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.433 * [taylor]: Taking taylor expansion of im in im 0.433 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify 1 into 1 0.434 * [backup-simplify]: Simplify (/ 1 1) into 1 0.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.434 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.435 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.435 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.436 * [backup-simplify]: Simplify (+ 0 0) into 0 0.436 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.436 * [backup-simplify]: Simplify (- 0) into 0 0.436 * [backup-simplify]: Simplify (+ 0 0) into 0 0.436 * [taylor]: Taking taylor expansion of 0 in im 0.436 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.437 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.437 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 0.438 * [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)) 0.438 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.438 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.438 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.438 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.438 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.438 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.438 * [taylor]: Taking taylor expansion of im in im 0.438 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify 1 into 1 0.438 * [backup-simplify]: Simplify (* 1 1) into 1 0.438 * [backup-simplify]: Simplify (/ 1 1) into 1 0.438 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.438 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.438 * [taylor]: Taking taylor expansion of re in im 0.438 * [backup-simplify]: Simplify re into re 0.438 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.439 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.439 * [backup-simplify]: Simplify (+ 1 0) into 1 0.439 * [backup-simplify]: Simplify (sqrt 1) into 1 0.439 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.440 * [backup-simplify]: Simplify (+ 0 0) into 0 0.440 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.440 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.440 * [taylor]: Taking taylor expansion of re in im 0.440 * [backup-simplify]: Simplify re into re 0.441 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.441 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.441 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.441 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.441 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.441 * [taylor]: Taking taylor expansion of im in re 0.441 * [backup-simplify]: Simplify im into im 0.441 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.441 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.441 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.441 * [taylor]: Taking taylor expansion of re in re 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify 1 into 1 0.441 * [backup-simplify]: Simplify (* 1 1) into 1 0.441 * [backup-simplify]: Simplify (/ 1 1) into 1 0.442 * [backup-simplify]: Simplify (+ 0 1) into 1 0.442 * [backup-simplify]: Simplify (sqrt 1) into 1 0.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.443 * [backup-simplify]: Simplify (+ 0 0) into 0 0.443 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.443 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.443 * [taylor]: Taking taylor expansion of re in re 0.443 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify 1 into 1 0.444 * [backup-simplify]: Simplify (/ 1 1) into 1 0.444 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.444 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.444 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.444 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.444 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.444 * [taylor]: Taking taylor expansion of im in re 0.444 * [backup-simplify]: Simplify im into im 0.444 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.444 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.444 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.444 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.444 * [taylor]: Taking taylor expansion of re in re 0.444 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify 1 into 1 0.444 * [backup-simplify]: Simplify (* 1 1) into 1 0.445 * [backup-simplify]: Simplify (/ 1 1) into 1 0.445 * [backup-simplify]: Simplify (+ 0 1) into 1 0.445 * [backup-simplify]: Simplify (sqrt 1) into 1 0.445 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.446 * [backup-simplify]: Simplify (+ 0 0) into 0 0.446 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.446 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.446 * [taylor]: Taking taylor expansion of re in re 0.446 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify 1 into 1 0.447 * [backup-simplify]: Simplify (/ 1 1) into 1 0.447 * [backup-simplify]: Simplify (- 1) into -1 0.447 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.447 * [taylor]: Taking taylor expansion of 0 in im 0.447 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.448 * [backup-simplify]: Simplify (- 0) into 0 0.448 * [backup-simplify]: Simplify (+ 0 0) into 0 0.448 * [taylor]: Taking taylor expansion of 0 in im 0.448 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify 0 into 0 0.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.449 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.450 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.451 * [backup-simplify]: Simplify (- 0) into 0 0.451 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.451 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.451 * [taylor]: Taking taylor expansion of 1/2 in im 0.451 * [backup-simplify]: Simplify 1/2 into 1/2 0.451 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.451 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.451 * [taylor]: Taking taylor expansion of im in im 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 1 into 1 0.451 * [backup-simplify]: Simplify (* 1 1) into 1 0.452 * [backup-simplify]: Simplify (/ 1 1) into 1 0.452 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.453 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.453 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.453 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.454 * [backup-simplify]: Simplify (+ 0 0) into 0 0.455 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.456 * [backup-simplify]: Simplify (- 0) into 0 0.456 * [backup-simplify]: Simplify (+ 0 0) into 0 0.456 * [taylor]: Taking taylor expansion of 0 in im 0.456 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.462 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.462 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify 0 into 0 0.463 * [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))))) 0.463 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.463 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.463 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.463 * [taylor]: Taking taylor expansion of re in im 0.463 * [backup-simplify]: Simplify re into re 0.463 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.463 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.463 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.463 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.463 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.463 * [taylor]: Taking taylor expansion of im in im 0.463 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify 1 into 1 0.464 * [backup-simplify]: Simplify (* 1 1) into 1 0.464 * [backup-simplify]: Simplify (/ 1 1) into 1 0.464 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.464 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.464 * [taylor]: Taking taylor expansion of re in im 0.464 * [backup-simplify]: Simplify re into re 0.464 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.464 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.464 * [backup-simplify]: Simplify (+ 1 0) into 1 0.465 * [backup-simplify]: Simplify (sqrt 1) into 1 0.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.466 * [backup-simplify]: Simplify (+ 0 0) into 0 0.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.466 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.466 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.466 * [taylor]: Taking taylor expansion of re in re 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify 1 into 1 0.466 * [backup-simplify]: Simplify (/ 1 1) into 1 0.466 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.466 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.466 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.467 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.467 * [taylor]: Taking taylor expansion of im in re 0.467 * [backup-simplify]: Simplify im into im 0.467 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.467 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.467 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.467 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.467 * [taylor]: Taking taylor expansion of re in re 0.467 * [backup-simplify]: Simplify 0 into 0 0.467 * [backup-simplify]: Simplify 1 into 1 0.467 * [backup-simplify]: Simplify (* 1 1) into 1 0.467 * [backup-simplify]: Simplify (/ 1 1) into 1 0.468 * [backup-simplify]: Simplify (+ 0 1) into 1 0.468 * [backup-simplify]: Simplify (sqrt 1) into 1 0.468 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.469 * [backup-simplify]: Simplify (+ 0 0) into 0 0.469 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.469 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.469 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.469 * [taylor]: Taking taylor expansion of re in re 0.469 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify 1 into 1 0.470 * [backup-simplify]: Simplify (/ 1 1) into 1 0.470 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.470 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.470 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.470 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.470 * [taylor]: Taking taylor expansion of im in re 0.470 * [backup-simplify]: Simplify im into im 0.470 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.470 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.470 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.470 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.470 * [taylor]: Taking taylor expansion of re in re 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify 1 into 1 0.470 * [backup-simplify]: Simplify (* 1 1) into 1 0.470 * [backup-simplify]: Simplify (/ 1 1) into 1 0.471 * [backup-simplify]: Simplify (+ 0 1) into 1 0.471 * [backup-simplify]: Simplify (sqrt 1) into 1 0.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.472 * [backup-simplify]: Simplify (+ 0 0) into 0 0.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.473 * [backup-simplify]: Simplify (+ 1 1) into 2 0.473 * [taylor]: Taking taylor expansion of 2 in im 0.473 * [backup-simplify]: Simplify 2 into 2 0.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.473 * [backup-simplify]: Simplify (+ 0 0) into 0 0.473 * [taylor]: Taking taylor expansion of 0 in im 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 2 into 2 0.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.475 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.476 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.476 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.476 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.476 * [taylor]: Taking taylor expansion of 1/2 in im 0.476 * [backup-simplify]: Simplify 1/2 into 1/2 0.476 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.476 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.476 * [taylor]: Taking taylor expansion of im in im 0.476 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify 1 into 1 0.476 * [backup-simplify]: Simplify (* 1 1) into 1 0.477 * [backup-simplify]: Simplify (/ 1 1) into 1 0.477 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.478 * [backup-simplify]: Simplify (+ (* 1/2 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 0.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.478 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.479 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.480 * [backup-simplify]: Simplify (+ 0 0) into 0 0.480 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.480 * [backup-simplify]: Simplify (+ 0 0) into 0 0.481 * [taylor]: Taking taylor expansion of 0 in im 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.482 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.482 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 0.482 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.483 * [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))) 0.483 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in (re im) around 0 0.483 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im 0.483 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.483 * [taylor]: Taking taylor expansion of 2.0 in im 0.483 * [backup-simplify]: Simplify 2.0 into 2.0 0.483 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.483 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 0.483 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.483 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.483 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.483 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.484 * [taylor]: Taking taylor expansion of re in im 0.484 * [backup-simplify]: Simplify re into re 0.484 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.484 * [taylor]: Taking taylor expansion of im in im 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify 1 into 1 0.484 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.484 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.484 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.484 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.484 * [backup-simplify]: Simplify (+ 0 0) into 0 0.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.484 * [taylor]: Taking taylor expansion of re in im 0.484 * [backup-simplify]: Simplify re into re 0.484 * [backup-simplify]: Simplify (- re) into (- re) 0.484 * [backup-simplify]: Simplify (+ re (- re)) into 0 0.485 * [backup-simplify]: Simplify (- 0) into 0 0.485 * [backup-simplify]: Simplify (+ 0 0) into 0 0.485 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 0.485 * [backup-simplify]: Simplify (* 1 1) into 1 0.486 * [backup-simplify]: Simplify (+ 0 1) into 1 0.486 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 0.486 * [backup-simplify]: Simplify (- 0) into 0 0.486 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 0.486 * [backup-simplify]: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 0.487 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 0.488 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.488 * [backup-simplify]: Simplify (+ 0 0) into 0 0.488 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 0.488 * [backup-simplify]: Simplify (- 0) into 0 0.489 * [backup-simplify]: Simplify (+ 0 0) into 0 0.489 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0 0.489 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.489 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.489 * [taylor]: Taking taylor expansion of 2.0 in re 0.489 * [backup-simplify]: Simplify 2.0 into 2.0 0.490 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.490 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.490 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.490 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.490 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 0.491 * [backup-simplify]: Simplify 1 into 1 0.491 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.491 * [taylor]: Taking taylor expansion of im in re 0.491 * [backup-simplify]: Simplify im into im 0.491 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.491 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.491 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.491 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.491 * [backup-simplify]: Simplify (+ 0 0) into 0 0.491 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.491 * [taylor]: Taking taylor expansion of re in re 0.491 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify 1 into 1 0.492 * [backup-simplify]: Simplify (- 0) into 0 0.492 * [backup-simplify]: Simplify (+ im 0) into im 0.492 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.492 * [backup-simplify]: Simplify (- 1) into -1 0.492 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.492 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 0.492 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.492 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.492 * [taylor]: Taking taylor expansion of 2.0 in re 0.492 * [backup-simplify]: Simplify 2.0 into 2.0 0.493 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.493 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.493 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.493 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.493 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.493 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.493 * [taylor]: Taking taylor expansion of re in re 0.493 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify 1 into 1 0.493 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.493 * [taylor]: Taking taylor expansion of im in re 0.493 * [backup-simplify]: Simplify im into im 0.493 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.494 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.494 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.494 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.494 * [backup-simplify]: Simplify (+ 0 0) into 0 0.494 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.494 * [taylor]: Taking taylor expansion of re in re 0.494 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify 1 into 1 0.494 * [backup-simplify]: Simplify (- 0) into 0 0.494 * [backup-simplify]: Simplify (+ im 0) into im 0.494 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.495 * [backup-simplify]: Simplify (- 1) into -1 0.495 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.495 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 0.495 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 0.495 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.495 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.495 * [taylor]: Taking taylor expansion of 2.0 in im 0.495 * [backup-simplify]: Simplify 2.0 into 2.0 0.496 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.496 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.496 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.496 * [taylor]: Taking taylor expansion of im in im 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify 1 into 1 0.496 * [backup-simplify]: Simplify (sqrt 0) into 0 0.497 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.498 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.499 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.500 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* -1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) 0.500 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 0.500 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) 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 (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.500 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.500 * [taylor]: Taking taylor expansion of 2.0 in im 0.500 * [backup-simplify]: Simplify 2.0 into 2.0 0.500 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.501 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.501 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.501 * [taylor]: Taking taylor expansion of im in im 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify 1 into 1 0.501 * [backup-simplify]: Simplify (/ 1 1) into 1 0.501 * [backup-simplify]: Simplify (sqrt 0) into 0 0.502 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.504 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.505 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.506 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.507 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.508 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.511 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.513 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.515 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.517 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.518 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.521 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.522 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.527 * [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)))))))) 0.528 * [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)))) 0.528 * [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 0.528 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.528 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.528 * [taylor]: Taking taylor expansion of 2.0 in im 0.528 * [backup-simplify]: Simplify 2.0 into 2.0 0.528 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.529 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.529 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.529 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.529 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.529 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.529 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.529 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.529 * [taylor]: Taking taylor expansion of im in im 0.529 * [backup-simplify]: Simplify 0 into 0 0.529 * [backup-simplify]: Simplify 1 into 1 0.529 * [backup-simplify]: Simplify (* 1 1) into 1 0.529 * [backup-simplify]: Simplify (/ 1 1) into 1 0.530 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.530 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.530 * [taylor]: Taking taylor expansion of re in im 0.530 * [backup-simplify]: Simplify re into re 0.530 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.530 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.530 * [backup-simplify]: Simplify (+ 1 0) into 1 0.530 * [backup-simplify]: Simplify (sqrt 1) into 1 0.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.531 * [backup-simplify]: Simplify (+ 0 0) into 0 0.532 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.532 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.532 * [taylor]: Taking taylor expansion of re in im 0.532 * [backup-simplify]: Simplify re into re 0.532 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.532 * [backup-simplify]: Simplify (+ 1 0) into 1 0.532 * [backup-simplify]: Simplify (sqrt 0) into 0 0.533 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.533 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.533 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.533 * [taylor]: Taking taylor expansion of 2.0 in re 0.533 * [backup-simplify]: Simplify 2.0 into 2.0 0.533 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.534 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.534 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.534 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.534 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.534 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.534 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.534 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.534 * [taylor]: Taking taylor expansion of im in re 0.534 * [backup-simplify]: Simplify im into im 0.534 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.534 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.534 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.534 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.534 * [taylor]: Taking taylor expansion of re in re 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify 1 into 1 0.534 * [backup-simplify]: Simplify (* 1 1) into 1 0.534 * [backup-simplify]: Simplify (/ 1 1) into 1 0.535 * [backup-simplify]: Simplify (+ 0 1) into 1 0.535 * [backup-simplify]: Simplify (sqrt 1) into 1 0.535 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.536 * [backup-simplify]: Simplify (+ 0 0) into 0 0.536 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.536 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.536 * [taylor]: Taking taylor expansion of re in re 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify 1 into 1 0.537 * [backup-simplify]: Simplify (/ 1 1) into 1 0.537 * [backup-simplify]: Simplify (- 1) into -1 0.537 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.538 * [backup-simplify]: Simplify (- 0) into 0 0.538 * [backup-simplify]: Simplify (+ 0 0) into 0 0.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.539 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.540 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.541 * [backup-simplify]: Simplify (- 0) into 0 0.541 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.541 * [backup-simplify]: Simplify (sqrt 0) into 0 0.541 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.541 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.541 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.541 * [taylor]: Taking taylor expansion of 2.0 in re 0.541 * [backup-simplify]: Simplify 2.0 into 2.0 0.542 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.542 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.542 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.542 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.542 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 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) 0.543 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.543 * [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 0.543 * [backup-simplify]: Simplify (+ 0 1) into 1 0.544 * [backup-simplify]: Simplify (sqrt 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 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.545 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.545 * [taylor]: Taking taylor expansion of re in re 0.545 * [backup-simplify]: Simplify 0 into 0 0.545 * [backup-simplify]: Simplify 1 into 1 0.546 * [backup-simplify]: Simplify (/ 1 1) into 1 0.546 * [backup-simplify]: Simplify (- 1) into -1 0.546 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.547 * [backup-simplify]: Simplify (- 0) into 0 0.547 * [backup-simplify]: Simplify (+ 0 0) into 0 0.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.548 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.549 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.549 * [backup-simplify]: Simplify (- 0) into 0 0.550 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.550 * [backup-simplify]: Simplify (sqrt 0) into 0 0.550 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.551 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.551 * [taylor]: Taking taylor expansion of 0 in im 0.551 * [backup-simplify]: Simplify 0 into 0 0.551 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 0.551 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.551 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.551 * [taylor]: Taking taylor expansion of +nan.0 in im 0.551 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.551 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.551 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.551 * [taylor]: Taking taylor expansion of 2.0 in im 0.551 * [backup-simplify]: Simplify 2.0 into 2.0 0.552 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.552 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.552 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.552 * [taylor]: Taking taylor expansion of im in im 0.552 * [backup-simplify]: Simplify 0 into 0 0.552 * [backup-simplify]: Simplify 1 into 1 0.552 * [backup-simplify]: Simplify (* 1 1) into 1 0.553 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.553 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.554 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.554 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.554 * [backup-simplify]: Simplify (- 0) into 0 0.555 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.555 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.556 * [backup-simplify]: Simplify (+ 0 0) into 0 0.559 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.560 * [backup-simplify]: Simplify (- 0) into 0 0.560 * [backup-simplify]: Simplify (+ 0 0) into 0 0.561 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 0.562 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.562 * [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)))) 0.562 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.562 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.562 * [taylor]: Taking taylor expansion of +nan.0 in im 0.562 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.562 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.562 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.562 * [taylor]: Taking taylor expansion of 2.0 in im 0.562 * [backup-simplify]: Simplify 2.0 into 2.0 0.563 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.563 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.563 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.563 * [taylor]: Taking taylor expansion of im in im 0.563 * [backup-simplify]: Simplify 0 into 0 0.563 * [backup-simplify]: Simplify 1 into 1 0.564 * [backup-simplify]: Simplify (* 1 1) into 1 0.564 * [backup-simplify]: Simplify (* 1 1) into 1 0.564 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.565 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.566 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.575 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.576 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.576 * [backup-simplify]: Simplify (- 0) into 0 0.576 * [backup-simplify]: Simplify 0 into 0 0.577 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.579 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.580 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.581 * [backup-simplify]: Simplify (- 0) into 0 0.581 * [backup-simplify]: Simplify 0 into 0 0.581 * [backup-simplify]: Simplify 0 into 0 0.581 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.582 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.584 * [backup-simplify]: Simplify (+ 0 0) into 0 0.586 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 0.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.587 * [backup-simplify]: Simplify (- 0) into 0 0.587 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 0.588 * [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)))))) 0.589 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.591 * [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)))))) 0.591 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.591 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.591 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.591 * [taylor]: Taking taylor expansion of +nan.0 in im 0.591 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.591 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.591 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.591 * [taylor]: Taking taylor expansion of 2.0 in im 0.591 * [backup-simplify]: Simplify 2.0 into 2.0 0.592 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.592 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.592 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.593 * [taylor]: Taking taylor expansion of im in im 0.593 * [backup-simplify]: Simplify 0 into 0 0.593 * [backup-simplify]: Simplify 1 into 1 0.593 * [backup-simplify]: Simplify (* 1 1) into 1 0.593 * [backup-simplify]: Simplify (* 1 1) into 1 0.595 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.595 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.595 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.595 * [taylor]: Taking taylor expansion of +nan.0 in im 0.595 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.595 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.595 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.595 * [taylor]: Taking taylor expansion of 2.0 in im 0.595 * [backup-simplify]: Simplify 2.0 into 2.0 0.595 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.596 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.596 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.596 * [taylor]: Taking taylor expansion of im in im 0.596 * [backup-simplify]: Simplify 0 into 0 0.596 * [backup-simplify]: Simplify 1 into 1 0.596 * [backup-simplify]: Simplify (* 1 1) into 1 0.597 * [backup-simplify]: Simplify (* 1 1) into 1 0.597 * [backup-simplify]: Simplify (* 1 1) into 1 0.598 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.599 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.600 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.602 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.604 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.605 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.607 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.608 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.610 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.611 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.612 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.613 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.615 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.620 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.622 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.626 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.627 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.630 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.632 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.633 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.634 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.636 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 0.636 * [backup-simplify]: Simplify (- 0) into 0 0.637 * [backup-simplify]: Simplify (+ 0 0) into 0 0.637 * [backup-simplify]: Simplify (- 0) into 0 0.637 * [backup-simplify]: Simplify 0 into 0 0.637 * [backup-simplify]: Simplify 0 into 0 0.637 * [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))))))) 0.637 * [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 0.637 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.637 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.637 * [taylor]: Taking taylor expansion of 2.0 in im 0.637 * [backup-simplify]: Simplify 2.0 into 2.0 0.638 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.638 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.638 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.638 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.638 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.638 * [taylor]: Taking taylor expansion of re in im 0.638 * [backup-simplify]: Simplify re into re 0.638 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.638 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.638 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.638 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.638 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.638 * [taylor]: Taking taylor expansion of im in im 0.638 * [backup-simplify]: Simplify 0 into 0 0.638 * [backup-simplify]: Simplify 1 into 1 0.639 * [backup-simplify]: Simplify (* 1 1) into 1 0.639 * [backup-simplify]: Simplify (/ 1 1) into 1 0.639 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.639 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.639 * [taylor]: Taking taylor expansion of re in im 0.639 * [backup-simplify]: Simplify re into re 0.639 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.639 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.639 * [backup-simplify]: Simplify (+ 1 0) into 1 0.640 * [backup-simplify]: Simplify (sqrt 1) into 1 0.640 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.641 * [backup-simplify]: Simplify (+ 0 0) into 0 0.641 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.642 * [backup-simplify]: Simplify (+ 0 1) into 1 0.642 * [backup-simplify]: Simplify (sqrt 0) into 0 0.643 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.643 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.643 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.643 * [taylor]: Taking taylor expansion of 2.0 in re 0.643 * [backup-simplify]: Simplify 2.0 into 2.0 0.643 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.644 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.644 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.644 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.644 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.644 * [taylor]: Taking taylor expansion of re in re 0.644 * [backup-simplify]: Simplify 0 into 0 0.644 * [backup-simplify]: Simplify 1 into 1 0.644 * [backup-simplify]: Simplify (/ 1 1) into 1 0.644 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.644 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.644 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.644 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.644 * [taylor]: Taking taylor expansion of im in re 0.644 * [backup-simplify]: Simplify im into im 0.644 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.645 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.645 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.645 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.645 * [taylor]: Taking taylor expansion of re in re 0.645 * [backup-simplify]: Simplify 0 into 0 0.645 * [backup-simplify]: Simplify 1 into 1 0.645 * [backup-simplify]: Simplify (* 1 1) into 1 0.645 * [backup-simplify]: Simplify (/ 1 1) into 1 0.645 * [backup-simplify]: Simplify (+ 0 1) into 1 0.646 * [backup-simplify]: Simplify (sqrt 1) into 1 0.646 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.647 * [backup-simplify]: Simplify (+ 0 0) into 0 0.647 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.647 * [backup-simplify]: Simplify (+ 1 1) into 2 0.647 * [backup-simplify]: Simplify (sqrt 0) into 0 0.648 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.648 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.648 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.648 * [taylor]: Taking taylor expansion of 2.0 in re 0.648 * [backup-simplify]: Simplify 2.0 into 2.0 0.649 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.649 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.649 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.649 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.649 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.649 * [taylor]: Taking taylor expansion of re in re 0.649 * [backup-simplify]: Simplify 0 into 0 0.649 * [backup-simplify]: Simplify 1 into 1 0.649 * [backup-simplify]: Simplify (/ 1 1) into 1 0.649 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.649 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.650 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.650 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.650 * [taylor]: Taking taylor expansion of im in re 0.650 * [backup-simplify]: Simplify im into im 0.650 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.650 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.650 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.650 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.650 * [taylor]: Taking taylor expansion of re in re 0.650 * [backup-simplify]: Simplify 0 into 0 0.650 * [backup-simplify]: Simplify 1 into 1 0.650 * [backup-simplify]: Simplify (* 1 1) into 1 0.650 * [backup-simplify]: Simplify (/ 1 1) into 1 0.651 * [backup-simplify]: Simplify (+ 0 1) into 1 0.651 * [backup-simplify]: Simplify (sqrt 1) into 1 0.651 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.652 * [backup-simplify]: Simplify (+ 0 0) into 0 0.652 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.652 * [backup-simplify]: Simplify (+ 1 1) into 2 0.653 * [backup-simplify]: Simplify (sqrt 0) into 0 0.653 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.654 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.654 * [taylor]: Taking taylor expansion of 0 in im 0.654 * [backup-simplify]: Simplify 0 into 0 0.655 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.655 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.655 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.655 * [taylor]: Taking taylor expansion of +nan.0 in im 0.655 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.655 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.655 * [taylor]: Taking taylor expansion of 2.0 in im 0.655 * [backup-simplify]: Simplify 2.0 into 2.0 0.655 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.656 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.656 * [backup-simplify]: Simplify 0 into 0 0.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.657 * [backup-simplify]: Simplify (+ 0 0) into 0 0.658 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.659 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.660 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.660 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.660 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.660 * [taylor]: Taking taylor expansion of +nan.0 in im 0.660 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.660 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.660 * [taylor]: Taking taylor expansion of 2.0 in im 0.660 * [backup-simplify]: Simplify 2.0 into 2.0 0.661 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.661 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.662 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.663 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.663 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.664 * [backup-simplify]: Simplify 0 into 0 0.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.665 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.666 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.666 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.668 * [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)) 0.668 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.669 * [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))))) 0.669 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.669 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.669 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.669 * [taylor]: Taking taylor expansion of +nan.0 in im 0.669 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.669 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.669 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.669 * [taylor]: Taking taylor expansion of 2.0 in im 0.669 * [backup-simplify]: Simplify 2.0 into 2.0 0.670 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.670 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.670 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.670 * [taylor]: Taking taylor expansion of im in im 0.670 * [backup-simplify]: Simplify 0 into 0 0.670 * [backup-simplify]: Simplify 1 into 1 0.670 * [backup-simplify]: Simplify (* 1 1) into 1 0.671 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.671 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.671 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.671 * [taylor]: Taking taylor expansion of +nan.0 in im 0.671 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.671 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.671 * [taylor]: Taking taylor expansion of 2.0 in im 0.671 * [backup-simplify]: Simplify 2.0 into 2.0 0.671 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.672 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.675 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.676 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.676 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.676 * [backup-simplify]: Simplify (+ 0 0) into 0 0.677 * [backup-simplify]: Simplify (- 0) into 0 0.677 * [backup-simplify]: Simplify 0 into 0 0.677 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.678 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.679 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.680 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.680 * [backup-simplify]: Simplify (- 0) into 0 0.680 * [backup-simplify]: Simplify 0 into 0 0.680 * [backup-simplify]: Simplify 0 into 0 0.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.681 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.681 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.682 * [backup-simplify]: Simplify (+ 0 0) into 0 0.683 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.683 * [backup-simplify]: Simplify (+ 0 0) into 0 0.684 * [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))) 0.685 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.686 * [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))))) 0.686 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.686 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.686 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.686 * [taylor]: Taking taylor expansion of +nan.0 in im 0.686 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.686 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.686 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.686 * [taylor]: Taking taylor expansion of 2.0 in im 0.686 * [backup-simplify]: Simplify 2.0 into 2.0 0.687 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.687 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.687 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.687 * [taylor]: Taking taylor expansion of im in im 0.687 * [backup-simplify]: Simplify 0 into 0 0.687 * [backup-simplify]: Simplify 1 into 1 0.687 * [backup-simplify]: Simplify (* 1 1) into 1 0.688 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.688 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.688 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.688 * [taylor]: Taking taylor expansion of +nan.0 in im 0.688 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.688 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.688 * [taylor]: Taking taylor expansion of 2.0 in im 0.688 * [backup-simplify]: Simplify 2.0 into 2.0 0.688 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.689 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.689 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.690 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.691 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.691 * [backup-simplify]: Simplify (+ 0 0) into 0 0.692 * [backup-simplify]: Simplify (- 0) into 0 0.692 * [backup-simplify]: Simplify 0 into 0 0.693 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) 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 0.696 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.697 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.699 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.701 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.703 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.705 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.709 * [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))))))) 0.709 * * * [progress]: simplifying candidates 0.711 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- re) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (- re) (log (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (* (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) im re (* -1 re) (- im re) 0 (* -2 re) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) (* im re)))))))) 0 (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0.714 * * [simplify]: Extracting # 0 : cost 0 0.714 * * [simplify]: Extracting # 1 : cost 0 0.714 * * [simplify]: Extracting # 2 : cost 0 0.714 * * [simplify]: Extracting # 3 : cost 0 0.715 * * [simplify]: Extracting # 4 : cost 0 0.715 * * [simplify]: Extracting # 5 : cost 0 0.715 * * [simplify]: Extracting # 6 : cost 0 0.715 * * [simplify]: Extracting # 7 : cost 0 0.715 * * [simplify]: Extracting # 8 : cost 0 0.716 * * [simplify]: Extracting # 9 : cost 0 0.716 * * [simplify]: Extracting # 10 : cost 0 0.716 * * [simplify]: Extracting # 11 : cost 0 0.716 * * [simplify]: Extracting # 12 : cost 0 0.717 * * [simplify]: Extracting # 13 : cost 0 0.717 * * [simplify]: iteration 0 : 106 enodes (cost 776 ) 0.739 * * [simplify]: Extracting # 0 : cost 0 0.739 * * [simplify]: Extracting # 1 : cost 0 0.740 * * [simplify]: Extracting # 2 : cost 0 0.740 * * [simplify]: Extracting # 3 : cost 0 0.740 * * [simplify]: Extracting # 4 : cost 0 0.740 * * [simplify]: iteration 1 : 230 enodes (cost 671 ) 0.859 * * [simplify]: Extracting # 0 : cost 0 0.859 * * [simplify]: Extracting # 1 : cost 0 0.860 * * [simplify]: Extracting # 2 : cost 0 0.861 * * [simplify]: Extracting # 3 : cost 0 0.862 * * [simplify]: Extracting # 4 : cost 0 0.862 * * [simplify]: iteration 2 : 603 enodes (cost 621 ) 1.207 * * [simplify]: Extracting # 0 : cost 0 1.209 * * [simplify]: Extracting # 1 : cost 0 1.211 * * [simplify]: Extracting # 2 : cost 0 1.212 * * [simplify]: Extracting # 3 : cost 0 1.214 * * [simplify]: Extracting # 4 : cost 0 1.216 * * [simplify]: iteration 3 : 1694 enodes (cost 596 ) 3.257 * * [simplify]: Extracting # 0 : cost 0 3.267 * * [simplify]: Extracting # 1 : cost 0 3.275 * * [simplify]: Extracting # 2 : cost 0 3.282 * * [simplify]: Extracting # 3 : cost 0 3.289 * * [simplify]: Extracting # 4 : cost 0 3.296 * * [simplify]: iteration 4 : 4451 enodes (cost 590 ) 4.973 * * [simplify]: Extracting # 0 : cost 0 4.981 * * [simplify]: Extracting # 1 : cost 0 4.990 * * [simplify]: Extracting # 2 : cost 0 4.998 * * [simplify]: Extracting # 3 : cost 0 5.007 * * [simplify]: Extracting # 4 : cost 0 5.015 * * [simplify]: iteration done: 5000 enodes (cost 590 ) 5.016 * [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) (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (- re) (log (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (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) (* +nan.0 (* (sqrt 2.0) (+ im (* (- im) (+ re im))))) 0 (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) 5.017 * * * [progress]: adding candidates to table 5.277 * * [progress]: iteration 2 / 4 5.277 * * * [progress]: picking best candidate 5.315 * * * * [pick]: Picked # 5.315 * * * [progress]: localizing error 5.346 * * * [progress]: generating rewritten candidates 5.347 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1) 5.363 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 2 1) 5.382 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1 1) 5.399 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 5.573 * * * [progress]: generating series expansions 5.573 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1) 5.573 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 5.573 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 5.573 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 5.573 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 5.573 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.573 * [taylor]: Taking taylor expansion of re in im 5.573 * [backup-simplify]: Simplify re into re 5.573 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.573 * [taylor]: Taking taylor expansion of im in im 5.573 * [backup-simplify]: Simplify 0 into 0 5.573 * [backup-simplify]: Simplify 1 into 1 5.573 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.573 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 5.573 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.574 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.574 * [backup-simplify]: Simplify (+ 0 0) into 0 5.574 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.574 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 5.574 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 5.574 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.574 * [taylor]: Taking taylor expansion of re in re 5.574 * [backup-simplify]: Simplify 0 into 0 5.574 * [backup-simplify]: Simplify 1 into 1 5.574 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.574 * [taylor]: Taking taylor expansion of im in re 5.574 * [backup-simplify]: Simplify im into im 5.575 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.575 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.575 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.575 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.575 * [backup-simplify]: Simplify (+ 0 0) into 0 5.575 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.575 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 5.575 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 5.575 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.575 * [taylor]: Taking taylor expansion of re in re 5.575 * [backup-simplify]: Simplify 0 into 0 5.575 * [backup-simplify]: Simplify 1 into 1 5.575 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.575 * [taylor]: Taking taylor expansion of im in re 5.575 * [backup-simplify]: Simplify im into im 5.575 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.575 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.576 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.576 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.576 * [backup-simplify]: Simplify (+ 0 0) into 0 5.576 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.576 * [taylor]: Taking taylor expansion of im in im 5.576 * [backup-simplify]: Simplify 0 into 0 5.576 * [backup-simplify]: Simplify 1 into 1 5.576 * [backup-simplify]: Simplify 0 into 0 5.576 * [taylor]: Taking taylor expansion of 0 in im 5.576 * [backup-simplify]: Simplify 0 into 0 5.576 * [backup-simplify]: Simplify 0 into 0 5.576 * [backup-simplify]: Simplify 1 into 1 5.576 * [backup-simplify]: Simplify (* 1 1) into 1 5.577 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.577 * [backup-simplify]: Simplify (+ 1 0) into 1 5.578 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 5.578 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 5.578 * [taylor]: Taking taylor expansion of 1/2 in im 5.578 * [backup-simplify]: Simplify 1/2 into 1/2 5.578 * [taylor]: Taking taylor expansion of im in im 5.578 * [backup-simplify]: Simplify 0 into 0 5.578 * [backup-simplify]: Simplify 1 into 1 5.578 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.578 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.578 * [backup-simplify]: Simplify 0 into 0 5.578 * [backup-simplify]: Simplify 0 into 0 5.578 * [backup-simplify]: Simplify 0 into 0 5.579 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.579 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 5.580 * [backup-simplify]: Simplify (+ 0 0) into 0 5.580 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 5.580 * [taylor]: Taking taylor expansion of 0 in im 5.580 * [backup-simplify]: Simplify 0 into 0 5.580 * [backup-simplify]: Simplify 0 into 0 5.580 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.580 * [backup-simplify]: Simplify 0 into 0 5.580 * [backup-simplify]: Simplify 0 into 0 5.580 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 5.581 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 5.581 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 5.581 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.581 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.581 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.581 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.581 * [taylor]: Taking taylor expansion of im in im 5.581 * [backup-simplify]: Simplify 0 into 0 5.581 * [backup-simplify]: Simplify 1 into 1 5.581 * [backup-simplify]: Simplify (* 1 1) into 1 5.581 * [backup-simplify]: Simplify (/ 1 1) into 1 5.581 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.581 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.581 * [taylor]: Taking taylor expansion of re in im 5.581 * [backup-simplify]: Simplify re into re 5.581 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.581 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.582 * [backup-simplify]: Simplify (+ 1 0) into 1 5.582 * [backup-simplify]: Simplify (sqrt 1) into 1 5.582 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.583 * [backup-simplify]: Simplify (+ 0 0) into 0 5.583 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.583 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.583 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.583 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.583 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.583 * [taylor]: Taking taylor expansion of im in re 5.584 * [backup-simplify]: Simplify im into im 5.584 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.584 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.584 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.584 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.584 * [taylor]: Taking taylor expansion of re in re 5.584 * [backup-simplify]: Simplify 0 into 0 5.584 * [backup-simplify]: Simplify 1 into 1 5.584 * [backup-simplify]: Simplify (* 1 1) into 1 5.584 * [backup-simplify]: Simplify (/ 1 1) into 1 5.585 * [backup-simplify]: Simplify (+ 0 1) into 1 5.585 * [backup-simplify]: Simplify (sqrt 1) into 1 5.585 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.586 * [backup-simplify]: Simplify (+ 0 0) into 0 5.586 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.586 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.586 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.586 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.586 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.586 * [taylor]: Taking taylor expansion of im in re 5.586 * [backup-simplify]: Simplify im into im 5.586 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.587 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.587 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.587 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.587 * [taylor]: Taking taylor expansion of re in re 5.587 * [backup-simplify]: Simplify 0 into 0 5.587 * [backup-simplify]: Simplify 1 into 1 5.587 * [backup-simplify]: Simplify (* 1 1) into 1 5.587 * [backup-simplify]: Simplify (/ 1 1) into 1 5.587 * [backup-simplify]: Simplify (+ 0 1) into 1 5.588 * [backup-simplify]: Simplify (sqrt 1) into 1 5.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.589 * [backup-simplify]: Simplify (+ 0 0) into 0 5.589 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.589 * [taylor]: Taking taylor expansion of 1 in im 5.589 * [backup-simplify]: Simplify 1 into 1 5.589 * [taylor]: Taking taylor expansion of 0 in im 5.589 * [backup-simplify]: Simplify 0 into 0 5.589 * [backup-simplify]: Simplify 1 into 1 5.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.590 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 5.591 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.591 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.591 * [taylor]: Taking taylor expansion of 1/2 in im 5.591 * [backup-simplify]: Simplify 1/2 into 1/2 5.591 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.591 * [taylor]: Taking taylor expansion of im in im 5.591 * [backup-simplify]: Simplify 0 into 0 5.591 * [backup-simplify]: Simplify 1 into 1 5.592 * [backup-simplify]: Simplify (* 1 1) into 1 5.592 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.592 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.593 * [backup-simplify]: Simplify 0 into 0 5.593 * [backup-simplify]: Simplify 0 into 0 5.593 * [backup-simplify]: Simplify 0 into 0 5.593 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.593 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.594 * [backup-simplify]: Simplify (+ 0 0) into 0 5.595 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.595 * [taylor]: Taking taylor expansion of 0 in im 5.595 * [backup-simplify]: Simplify 0 into 0 5.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.596 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.596 * [backup-simplify]: Simplify 0 into 0 5.596 * [backup-simplify]: Simplify 0 into 0 5.596 * [backup-simplify]: Simplify 0 into 0 5.596 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 5.596 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 5.596 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 5.596 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.596 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.596 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.596 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.596 * [taylor]: Taking taylor expansion of im in im 5.596 * [backup-simplify]: Simplify 0 into 0 5.596 * [backup-simplify]: Simplify 1 into 1 5.597 * [backup-simplify]: Simplify (* 1 1) into 1 5.597 * [backup-simplify]: Simplify (/ 1 1) into 1 5.597 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.597 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.597 * [taylor]: Taking taylor expansion of re in im 5.597 * [backup-simplify]: Simplify re into re 5.597 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.597 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.597 * [backup-simplify]: Simplify (+ 1 0) into 1 5.598 * [backup-simplify]: Simplify (sqrt 1) into 1 5.598 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.599 * [backup-simplify]: Simplify (+ 0 0) into 0 5.599 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.599 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.599 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.599 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.599 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.599 * [taylor]: Taking taylor expansion of im in re 5.599 * [backup-simplify]: Simplify im into im 5.599 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.599 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.599 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.599 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.599 * [taylor]: Taking taylor expansion of re in re 5.599 * [backup-simplify]: Simplify 0 into 0 5.599 * [backup-simplify]: Simplify 1 into 1 5.600 * [backup-simplify]: Simplify (* 1 1) into 1 5.600 * [backup-simplify]: Simplify (/ 1 1) into 1 5.600 * [backup-simplify]: Simplify (+ 0 1) into 1 5.600 * [backup-simplify]: Simplify (sqrt 1) into 1 5.601 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.601 * [backup-simplify]: Simplify (+ 0 0) into 0 5.602 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.602 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.602 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.602 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.602 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.602 * [taylor]: Taking taylor expansion of im in re 5.602 * [backup-simplify]: Simplify im into im 5.602 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.602 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.602 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.602 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.602 * [taylor]: Taking taylor expansion of re in re 5.602 * [backup-simplify]: Simplify 0 into 0 5.602 * [backup-simplify]: Simplify 1 into 1 5.602 * [backup-simplify]: Simplify (* 1 1) into 1 5.603 * [backup-simplify]: Simplify (/ 1 1) into 1 5.603 * [backup-simplify]: Simplify (+ 0 1) into 1 5.603 * [backup-simplify]: Simplify (sqrt 1) into 1 5.603 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.604 * [backup-simplify]: Simplify (+ 0 0) into 0 5.604 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.604 * [taylor]: Taking taylor expansion of 1 in im 5.604 * [backup-simplify]: Simplify 1 into 1 5.605 * [taylor]: Taking taylor expansion of 0 in im 5.605 * [backup-simplify]: Simplify 0 into 0 5.605 * [backup-simplify]: Simplify 1 into 1 5.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.606 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 5.606 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.607 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.607 * [taylor]: Taking taylor expansion of 1/2 in im 5.607 * [backup-simplify]: Simplify 1/2 into 1/2 5.607 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.607 * [taylor]: Taking taylor expansion of im in im 5.607 * [backup-simplify]: Simplify 0 into 0 5.607 * [backup-simplify]: Simplify 1 into 1 5.607 * [backup-simplify]: Simplify (* 1 1) into 1 5.607 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.608 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.608 * [backup-simplify]: Simplify 0 into 0 5.608 * [backup-simplify]: Simplify 0 into 0 5.608 * [backup-simplify]: Simplify 0 into 0 5.608 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.608 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.610 * [backup-simplify]: Simplify (+ 0 0) into 0 5.610 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.610 * [taylor]: Taking taylor expansion of 0 in im 5.610 * [backup-simplify]: Simplify 0 into 0 5.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.611 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.611 * [backup-simplify]: Simplify 0 into 0 5.611 * [backup-simplify]: Simplify 0 into 0 5.611 * [backup-simplify]: Simplify 0 into 0 5.611 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 5.611 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 2 1) 5.612 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 5.612 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 5.612 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 5.612 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 5.612 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.612 * [taylor]: Taking taylor expansion of re in im 5.612 * [backup-simplify]: Simplify re into re 5.612 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.612 * [taylor]: Taking taylor expansion of im in im 5.612 * [backup-simplify]: Simplify 0 into 0 5.612 * [backup-simplify]: Simplify 1 into 1 5.612 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.612 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 5.612 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.612 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.612 * [backup-simplify]: Simplify (+ 0 0) into 0 5.612 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.613 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 5.613 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 5.613 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.613 * [taylor]: Taking taylor expansion of re in re 5.613 * [backup-simplify]: Simplify 0 into 0 5.613 * [backup-simplify]: Simplify 1 into 1 5.613 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.613 * [taylor]: Taking taylor expansion of im in re 5.613 * [backup-simplify]: Simplify im into im 5.613 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.613 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.613 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.613 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.613 * [backup-simplify]: Simplify (+ 0 0) into 0 5.614 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.614 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 5.614 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 5.614 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.614 * [taylor]: Taking taylor expansion of re in re 5.614 * [backup-simplify]: Simplify 0 into 0 5.614 * [backup-simplify]: Simplify 1 into 1 5.614 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.614 * [taylor]: Taking taylor expansion of im in re 5.614 * [backup-simplify]: Simplify im into im 5.614 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.614 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.614 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.614 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.615 * [backup-simplify]: Simplify (+ 0 0) into 0 5.615 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.615 * [taylor]: Taking taylor expansion of im in im 5.615 * [backup-simplify]: Simplify 0 into 0 5.615 * [backup-simplify]: Simplify 1 into 1 5.615 * [backup-simplify]: Simplify 0 into 0 5.615 * [taylor]: Taking taylor expansion of 0 in im 5.615 * [backup-simplify]: Simplify 0 into 0 5.615 * [backup-simplify]: Simplify 0 into 0 5.615 * [backup-simplify]: Simplify 1 into 1 5.616 * [backup-simplify]: Simplify (* 1 1) into 1 5.616 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.616 * [backup-simplify]: Simplify (+ 1 0) into 1 5.617 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 5.617 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 5.617 * [taylor]: Taking taylor expansion of 1/2 in im 5.617 * [backup-simplify]: Simplify 1/2 into 1/2 5.617 * [taylor]: Taking taylor expansion of im in im 5.617 * [backup-simplify]: Simplify 0 into 0 5.617 * [backup-simplify]: Simplify 1 into 1 5.618 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.619 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.619 * [backup-simplify]: Simplify 0 into 0 5.619 * [backup-simplify]: Simplify 0 into 0 5.619 * [backup-simplify]: Simplify 0 into 0 5.619 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.620 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 5.620 * [backup-simplify]: Simplify (+ 0 0) into 0 5.621 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 5.621 * [taylor]: Taking taylor expansion of 0 in im 5.621 * [backup-simplify]: Simplify 0 into 0 5.621 * [backup-simplify]: Simplify 0 into 0 5.622 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.622 * [backup-simplify]: Simplify 0 into 0 5.622 * [backup-simplify]: Simplify 0 into 0 5.622 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 5.622 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 5.622 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 5.622 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.622 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.622 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.622 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.622 * [taylor]: Taking taylor expansion of im in im 5.622 * [backup-simplify]: Simplify 0 into 0 5.622 * [backup-simplify]: Simplify 1 into 1 5.623 * [backup-simplify]: Simplify (* 1 1) into 1 5.623 * [backup-simplify]: Simplify (/ 1 1) into 1 5.623 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.623 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.623 * [taylor]: Taking taylor expansion of re in im 5.623 * [backup-simplify]: Simplify re into re 5.623 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.623 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.624 * [backup-simplify]: Simplify (+ 1 0) into 1 5.624 * [backup-simplify]: Simplify (sqrt 1) into 1 5.625 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.626 * [backup-simplify]: Simplify (+ 0 0) into 0 5.627 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.627 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.627 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.627 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.627 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.627 * [taylor]: Taking taylor expansion of im in re 5.627 * [backup-simplify]: Simplify im into im 5.627 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.627 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.627 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.627 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.627 * [taylor]: Taking taylor expansion of re in re 5.627 * [backup-simplify]: Simplify 0 into 0 5.627 * [backup-simplify]: Simplify 1 into 1 5.628 * [backup-simplify]: Simplify (* 1 1) into 1 5.628 * [backup-simplify]: Simplify (/ 1 1) into 1 5.628 * [backup-simplify]: Simplify (+ 0 1) into 1 5.629 * [backup-simplify]: Simplify (sqrt 1) into 1 5.629 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.630 * [backup-simplify]: Simplify (+ 0 0) into 0 5.631 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.631 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.631 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.631 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.631 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.631 * [taylor]: Taking taylor expansion of im in re 5.631 * [backup-simplify]: Simplify im into im 5.631 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.632 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.632 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.632 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.632 * [taylor]: Taking taylor expansion of re in re 5.632 * [backup-simplify]: Simplify 0 into 0 5.632 * [backup-simplify]: Simplify 1 into 1 5.632 * [backup-simplify]: Simplify (* 1 1) into 1 5.633 * [backup-simplify]: Simplify (/ 1 1) into 1 5.633 * [backup-simplify]: Simplify (+ 0 1) into 1 5.633 * [backup-simplify]: Simplify (sqrt 1) into 1 5.634 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.635 * [backup-simplify]: Simplify (+ 0 0) into 0 5.636 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.636 * [taylor]: Taking taylor expansion of 1 in im 5.636 * [backup-simplify]: Simplify 1 into 1 5.636 * [taylor]: Taking taylor expansion of 0 in im 5.636 * [backup-simplify]: Simplify 0 into 0 5.636 * [backup-simplify]: Simplify 1 into 1 5.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.638 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 5.640 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.640 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.640 * [taylor]: Taking taylor expansion of 1/2 in im 5.640 * [backup-simplify]: Simplify 1/2 into 1/2 5.640 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.640 * [taylor]: Taking taylor expansion of im in im 5.640 * [backup-simplify]: Simplify 0 into 0 5.640 * [backup-simplify]: Simplify 1 into 1 5.640 * [backup-simplify]: Simplify (* 1 1) into 1 5.641 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.641 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.642 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.642 * [backup-simplify]: Simplify 0 into 0 5.642 * [backup-simplify]: Simplify 0 into 0 5.642 * [backup-simplify]: Simplify 0 into 0 5.642 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.643 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.645 * [backup-simplify]: Simplify (+ 0 0) into 0 5.645 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.646 * [taylor]: Taking taylor expansion of 0 in im 5.646 * [backup-simplify]: Simplify 0 into 0 5.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.647 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.647 * [backup-simplify]: Simplify 0 into 0 5.647 * [backup-simplify]: Simplify 0 into 0 5.647 * [backup-simplify]: Simplify 0 into 0 5.648 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 5.648 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 5.648 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 5.648 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.648 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.648 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.648 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.648 * [taylor]: Taking taylor expansion of im in im 5.648 * [backup-simplify]: Simplify 0 into 0 5.648 * [backup-simplify]: Simplify 1 into 1 5.649 * [backup-simplify]: Simplify (* 1 1) into 1 5.649 * [backup-simplify]: Simplify (/ 1 1) into 1 5.649 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.649 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.649 * [taylor]: Taking taylor expansion of re in im 5.649 * [backup-simplify]: Simplify re into re 5.649 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.649 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.650 * [backup-simplify]: Simplify (+ 1 0) into 1 5.650 * [backup-simplify]: Simplify (sqrt 1) into 1 5.651 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.652 * [backup-simplify]: Simplify (+ 0 0) into 0 5.653 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.653 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.653 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.653 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.653 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.653 * [taylor]: Taking taylor expansion of im in re 5.653 * [backup-simplify]: Simplify im into im 5.653 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.653 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.653 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.653 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.653 * [taylor]: Taking taylor expansion of re in re 5.653 * [backup-simplify]: Simplify 0 into 0 5.653 * [backup-simplify]: Simplify 1 into 1 5.654 * [backup-simplify]: Simplify (* 1 1) into 1 5.654 * [backup-simplify]: Simplify (/ 1 1) into 1 5.654 * [backup-simplify]: Simplify (+ 0 1) into 1 5.655 * [backup-simplify]: Simplify (sqrt 1) into 1 5.655 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.656 * [backup-simplify]: Simplify (+ 0 0) into 0 5.657 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.657 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.657 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.657 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.657 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.657 * [taylor]: Taking taylor expansion of im in re 5.657 * [backup-simplify]: Simplify im into im 5.657 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.658 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.658 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.658 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.658 * [taylor]: Taking taylor expansion of re in re 5.658 * [backup-simplify]: Simplify 0 into 0 5.658 * [backup-simplify]: Simplify 1 into 1 5.658 * [backup-simplify]: Simplify (* 1 1) into 1 5.658 * [backup-simplify]: Simplify (/ 1 1) into 1 5.659 * [backup-simplify]: Simplify (+ 0 1) into 1 5.659 * [backup-simplify]: Simplify (sqrt 1) into 1 5.660 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.661 * [backup-simplify]: Simplify (+ 0 0) into 0 5.662 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.662 * [taylor]: Taking taylor expansion of 1 in im 5.662 * [backup-simplify]: Simplify 1 into 1 5.662 * [taylor]: Taking taylor expansion of 0 in im 5.662 * [backup-simplify]: Simplify 0 into 0 5.662 * [backup-simplify]: Simplify 1 into 1 5.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.664 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 5.665 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.665 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.665 * [taylor]: Taking taylor expansion of 1/2 in im 5.665 * [backup-simplify]: Simplify 1/2 into 1/2 5.665 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.665 * [taylor]: Taking taylor expansion of im in im 5.665 * [backup-simplify]: Simplify 0 into 0 5.665 * [backup-simplify]: Simplify 1 into 1 5.666 * [backup-simplify]: Simplify (* 1 1) into 1 5.666 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.667 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.667 * [backup-simplify]: Simplify 0 into 0 5.667 * [backup-simplify]: Simplify 0 into 0 5.668 * [backup-simplify]: Simplify 0 into 0 5.668 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.668 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.670 * [backup-simplify]: Simplify (+ 0 0) into 0 5.671 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.671 * [taylor]: Taking taylor expansion of 0 in im 5.671 * [backup-simplify]: Simplify 0 into 0 5.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.673 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.673 * [backup-simplify]: Simplify 0 into 0 5.673 * [backup-simplify]: Simplify 0 into 0 5.673 * [backup-simplify]: Simplify 0 into 0 5.673 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 5.673 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1 1) 5.673 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 5.674 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 5.674 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 5.674 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 5.674 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.674 * [taylor]: Taking taylor expansion of re in im 5.674 * [backup-simplify]: Simplify re into re 5.674 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.674 * [taylor]: Taking taylor expansion of im in im 5.674 * [backup-simplify]: Simplify 0 into 0 5.674 * [backup-simplify]: Simplify 1 into 1 5.674 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.674 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 5.674 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.674 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.675 * [backup-simplify]: Simplify (+ 0 0) into 0 5.675 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.675 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 5.675 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 5.675 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.675 * [taylor]: Taking taylor expansion of re in re 5.675 * [backup-simplify]: Simplify 0 into 0 5.675 * [backup-simplify]: Simplify 1 into 1 5.675 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.675 * [taylor]: Taking taylor expansion of im in re 5.675 * [backup-simplify]: Simplify im into im 5.675 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.675 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.675 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.676 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.676 * [backup-simplify]: Simplify (+ 0 0) into 0 5.676 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.676 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 5.676 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 5.676 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.676 * [taylor]: Taking taylor expansion of re in re 5.676 * [backup-simplify]: Simplify 0 into 0 5.676 * [backup-simplify]: Simplify 1 into 1 5.676 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.676 * [taylor]: Taking taylor expansion of im in re 5.676 * [backup-simplify]: Simplify im into im 5.676 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.677 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.677 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.677 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.677 * [backup-simplify]: Simplify (+ 0 0) into 0 5.677 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.677 * [taylor]: Taking taylor expansion of im in im 5.678 * [backup-simplify]: Simplify 0 into 0 5.678 * [backup-simplify]: Simplify 1 into 1 5.678 * [backup-simplify]: Simplify 0 into 0 5.678 * [taylor]: Taking taylor expansion of 0 in im 5.678 * [backup-simplify]: Simplify 0 into 0 5.678 * [backup-simplify]: Simplify 0 into 0 5.678 * [backup-simplify]: Simplify 1 into 1 5.678 * [backup-simplify]: Simplify (* 1 1) into 1 5.678 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.679 * [backup-simplify]: Simplify (+ 1 0) into 1 5.680 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 5.680 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 5.680 * [taylor]: Taking taylor expansion of 1/2 in im 5.680 * [backup-simplify]: Simplify 1/2 into 1/2 5.680 * [taylor]: Taking taylor expansion of im in im 5.680 * [backup-simplify]: Simplify 0 into 0 5.680 * [backup-simplify]: Simplify 1 into 1 5.680 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.681 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.681 * [backup-simplify]: Simplify 0 into 0 5.681 * [backup-simplify]: Simplify 0 into 0 5.681 * [backup-simplify]: Simplify 0 into 0 5.682 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.683 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 5.683 * [backup-simplify]: Simplify (+ 0 0) into 0 5.683 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 5.683 * [taylor]: Taking taylor expansion of 0 in im 5.683 * [backup-simplify]: Simplify 0 into 0 5.683 * [backup-simplify]: Simplify 0 into 0 5.684 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.684 * [backup-simplify]: Simplify 0 into 0 5.684 * [backup-simplify]: Simplify 0 into 0 5.684 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 5.685 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 5.685 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 5.685 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.685 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.685 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.685 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.685 * [taylor]: Taking taylor expansion of im in im 5.685 * [backup-simplify]: Simplify 0 into 0 5.685 * [backup-simplify]: Simplify 1 into 1 5.686 * [backup-simplify]: Simplify (* 1 1) into 1 5.686 * [backup-simplify]: Simplify (/ 1 1) into 1 5.686 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.686 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.686 * [taylor]: Taking taylor expansion of re in im 5.686 * [backup-simplify]: Simplify re into re 5.686 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.686 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.687 * [backup-simplify]: Simplify (+ 1 0) into 1 5.687 * [backup-simplify]: Simplify (sqrt 1) into 1 5.688 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.689 * [backup-simplify]: Simplify (+ 0 0) into 0 5.689 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.689 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.689 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.689 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.689 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.689 * [taylor]: Taking taylor expansion of im in re 5.690 * [backup-simplify]: Simplify im into im 5.690 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.690 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.690 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.690 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.690 * [taylor]: Taking taylor expansion of re in re 5.690 * [backup-simplify]: Simplify 0 into 0 5.690 * [backup-simplify]: Simplify 1 into 1 5.690 * [backup-simplify]: Simplify (* 1 1) into 1 5.691 * [backup-simplify]: Simplify (/ 1 1) into 1 5.691 * [backup-simplify]: Simplify (+ 0 1) into 1 5.691 * [backup-simplify]: Simplify (sqrt 1) into 1 5.692 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.697 * [backup-simplify]: Simplify (+ 0 0) into 0 5.698 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.698 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.698 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.698 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.698 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.698 * [taylor]: Taking taylor expansion of im in re 5.698 * [backup-simplify]: Simplify im into im 5.698 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.699 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.699 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.699 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.699 * [taylor]: Taking taylor expansion of re in re 5.699 * [backup-simplify]: Simplify 0 into 0 5.699 * [backup-simplify]: Simplify 1 into 1 5.699 * [backup-simplify]: Simplify (* 1 1) into 1 5.699 * [backup-simplify]: Simplify (/ 1 1) into 1 5.700 * [backup-simplify]: Simplify (+ 0 1) into 1 5.700 * [backup-simplify]: Simplify (sqrt 1) into 1 5.701 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.702 * [backup-simplify]: Simplify (+ 0 0) into 0 5.703 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.703 * [taylor]: Taking taylor expansion of 1 in im 5.703 * [backup-simplify]: Simplify 1 into 1 5.703 * [taylor]: Taking taylor expansion of 0 in im 5.703 * [backup-simplify]: Simplify 0 into 0 5.703 * [backup-simplify]: Simplify 1 into 1 5.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.705 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 5.706 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.706 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.706 * [taylor]: Taking taylor expansion of 1/2 in im 5.706 * [backup-simplify]: Simplify 1/2 into 1/2 5.706 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.707 * [taylor]: Taking taylor expansion of im in im 5.707 * [backup-simplify]: Simplify 0 into 0 5.707 * [backup-simplify]: Simplify 1 into 1 5.707 * [backup-simplify]: Simplify (* 1 1) into 1 5.707 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.708 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.709 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.709 * [backup-simplify]: Simplify 0 into 0 5.709 * [backup-simplify]: Simplify 0 into 0 5.709 * [backup-simplify]: Simplify 0 into 0 5.709 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.709 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.712 * [backup-simplify]: Simplify (+ 0 0) into 0 5.712 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.712 * [taylor]: Taking taylor expansion of 0 in im 5.712 * [backup-simplify]: Simplify 0 into 0 5.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.714 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.714 * [backup-simplify]: Simplify 0 into 0 5.714 * [backup-simplify]: Simplify 0 into 0 5.714 * [backup-simplify]: Simplify 0 into 0 5.715 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 5.715 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 5.715 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 5.715 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.715 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.715 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.715 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.715 * [taylor]: Taking taylor expansion of im in im 5.715 * [backup-simplify]: Simplify 0 into 0 5.715 * [backup-simplify]: Simplify 1 into 1 5.716 * [backup-simplify]: Simplify (* 1 1) into 1 5.716 * [backup-simplify]: Simplify (/ 1 1) into 1 5.716 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.716 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.716 * [taylor]: Taking taylor expansion of re in im 5.716 * [backup-simplify]: Simplify re into re 5.716 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.716 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.717 * [backup-simplify]: Simplify (+ 1 0) into 1 5.717 * [backup-simplify]: Simplify (sqrt 1) into 1 5.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.719 * [backup-simplify]: Simplify (+ 0 0) into 0 5.720 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.720 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.720 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.720 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.720 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.720 * [taylor]: Taking taylor expansion of im in re 5.720 * [backup-simplify]: Simplify im into im 5.720 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.720 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.720 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.720 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.720 * [taylor]: Taking taylor expansion of re in re 5.720 * [backup-simplify]: Simplify 0 into 0 5.720 * [backup-simplify]: Simplify 1 into 1 5.721 * [backup-simplify]: Simplify (* 1 1) into 1 5.721 * [backup-simplify]: Simplify (/ 1 1) into 1 5.721 * [backup-simplify]: Simplify (+ 0 1) into 1 5.722 * [backup-simplify]: Simplify (sqrt 1) into 1 5.722 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.724 * [backup-simplify]: Simplify (+ 0 0) into 0 5.724 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.724 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.724 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.724 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.724 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.724 * [taylor]: Taking taylor expansion of im in re 5.724 * [backup-simplify]: Simplify im into im 5.724 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.725 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.725 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.725 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.725 * [taylor]: Taking taylor expansion of re in re 5.725 * [backup-simplify]: Simplify 0 into 0 5.725 * [backup-simplify]: Simplify 1 into 1 5.725 * [backup-simplify]: Simplify (* 1 1) into 1 5.726 * [backup-simplify]: Simplify (/ 1 1) into 1 5.726 * [backup-simplify]: Simplify (+ 0 1) into 1 5.726 * [backup-simplify]: Simplify (sqrt 1) into 1 5.727 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.728 * [backup-simplify]: Simplify (+ 0 0) into 0 5.729 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.729 * [taylor]: Taking taylor expansion of 1 in im 5.729 * [backup-simplify]: Simplify 1 into 1 5.729 * [taylor]: Taking taylor expansion of 0 in im 5.729 * [backup-simplify]: Simplify 0 into 0 5.729 * [backup-simplify]: Simplify 1 into 1 5.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.731 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 5.732 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.733 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.733 * [taylor]: Taking taylor expansion of 1/2 in im 5.733 * [backup-simplify]: Simplify 1/2 into 1/2 5.733 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.733 * [taylor]: Taking taylor expansion of im in im 5.733 * [backup-simplify]: Simplify 0 into 0 5.733 * [backup-simplify]: Simplify 1 into 1 5.733 * [backup-simplify]: Simplify (* 1 1) into 1 5.734 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.734 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.735 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.735 * [backup-simplify]: Simplify 0 into 0 5.735 * [backup-simplify]: Simplify 0 into 0 5.736 * [backup-simplify]: Simplify 0 into 0 5.736 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.736 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.738 * [backup-simplify]: Simplify (+ 0 0) into 0 5.739 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.739 * [taylor]: Taking taylor expansion of 0 in im 5.739 * [backup-simplify]: Simplify 0 into 0 5.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.741 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.741 * [backup-simplify]: Simplify 0 into 0 5.741 * [backup-simplify]: Simplify 0 into 0 5.741 * [backup-simplify]: Simplify 0 into 0 5.741 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 5.742 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 5.742 * [backup-simplify]: Simplify (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 5.742 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 5.742 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 5.743 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 5.743 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 5.743 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.743 * [taylor]: Taking taylor expansion of re in im 5.743 * [backup-simplify]: Simplify re into re 5.743 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.743 * [taylor]: Taking taylor expansion of im in im 5.743 * [backup-simplify]: Simplify 0 into 0 5.743 * [backup-simplify]: Simplify 1 into 1 5.743 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.743 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 5.743 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.743 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.744 * [backup-simplify]: Simplify (+ 0 0) into 0 5.744 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.744 * [taylor]: Taking taylor expansion of re in im 5.744 * [backup-simplify]: Simplify re into re 5.744 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 5.744 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 5.744 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 5.744 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.744 * [taylor]: Taking taylor expansion of re in re 5.744 * [backup-simplify]: Simplify 0 into 0 5.744 * [backup-simplify]: Simplify 1 into 1 5.744 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.744 * [taylor]: Taking taylor expansion of im in re 5.744 * [backup-simplify]: Simplify im into im 5.744 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.744 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.745 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.745 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.745 * [backup-simplify]: Simplify (+ 0 0) into 0 5.745 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.745 * [taylor]: Taking taylor expansion of re in re 5.745 * [backup-simplify]: Simplify 0 into 0 5.745 * [backup-simplify]: Simplify 1 into 1 5.745 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 5.745 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 5.745 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 5.746 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.746 * [taylor]: Taking taylor expansion of re in re 5.746 * [backup-simplify]: Simplify 0 into 0 5.746 * [backup-simplify]: Simplify 1 into 1 5.746 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.746 * [taylor]: Taking taylor expansion of im in re 5.746 * [backup-simplify]: Simplify im into im 5.746 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.746 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.746 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.746 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.747 * [backup-simplify]: Simplify (+ 0 0) into 0 5.747 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.747 * [taylor]: Taking taylor expansion of re in re 5.747 * [backup-simplify]: Simplify 0 into 0 5.747 * [backup-simplify]: Simplify 1 into 1 5.747 * [backup-simplify]: Simplify (- 0) into 0 5.747 * [backup-simplify]: Simplify (+ im 0) into im 5.747 * [taylor]: Taking taylor expansion of im in im 5.747 * [backup-simplify]: Simplify 0 into 0 5.747 * [backup-simplify]: Simplify 1 into 1 5.747 * [backup-simplify]: Simplify 0 into 0 5.748 * [backup-simplify]: Simplify (- 1) into -1 5.748 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.748 * [taylor]: Taking taylor expansion of -1 in im 5.748 * [backup-simplify]: Simplify -1 into -1 5.748 * [backup-simplify]: Simplify -1 into -1 5.748 * [backup-simplify]: Simplify 1 into 1 5.749 * [backup-simplify]: Simplify (* 1 1) into 1 5.749 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.750 * [backup-simplify]: Simplify (+ 1 0) into 1 5.751 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 5.751 * [backup-simplify]: Simplify (- 0) into 0 5.751 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 5.751 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 5.751 * [taylor]: Taking taylor expansion of 1/2 in im 5.751 * [backup-simplify]: Simplify 1/2 into 1/2 5.751 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.751 * [taylor]: Taking taylor expansion of im in im 5.751 * [backup-simplify]: Simplify 0 into 0 5.751 * [backup-simplify]: Simplify 1 into 1 5.752 * [backup-simplify]: Simplify (/ 1 1) into 1 5.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.753 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.753 * [backup-simplify]: Simplify 0 into 0 5.753 * [backup-simplify]: Simplify 0 into 0 5.753 * [backup-simplify]: Simplify 0 into 0 5.754 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.755 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 5.755 * [backup-simplify]: Simplify (+ 0 0) into 0 5.755 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 5.756 * [backup-simplify]: Simplify (- 0) into 0 5.756 * [backup-simplify]: Simplify (+ 0 0) into 0 5.756 * [taylor]: Taking taylor expansion of 0 in im 5.756 * [backup-simplify]: Simplify 0 into 0 5.757 * [backup-simplify]: Simplify 0 into 0 5.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.758 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.758 * [backup-simplify]: Simplify 0 into 0 5.758 * [backup-simplify]: Simplify 0 into 0 5.759 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 5.760 * [backup-simplify]: Simplify (- (* (* (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 5.760 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 5.760 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 5.760 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.760 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.760 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.760 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.760 * [taylor]: Taking taylor expansion of im in im 5.760 * [backup-simplify]: Simplify 0 into 0 5.760 * [backup-simplify]: Simplify 1 into 1 5.761 * [backup-simplify]: Simplify (* 1 1) into 1 5.761 * [backup-simplify]: Simplify (/ 1 1) into 1 5.761 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.761 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.761 * [taylor]: Taking taylor expansion of re in im 5.761 * [backup-simplify]: Simplify re into re 5.761 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.761 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.761 * [backup-simplify]: Simplify (+ 1 0) into 1 5.762 * [backup-simplify]: Simplify (sqrt 1) into 1 5.762 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.763 * [backup-simplify]: Simplify (+ 0 0) into 0 5.763 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.763 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.763 * [taylor]: Taking taylor expansion of re in im 5.763 * [backup-simplify]: Simplify re into re 5.763 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.763 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 5.763 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.763 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.763 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.763 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.763 * [taylor]: Taking taylor expansion of im in re 5.763 * [backup-simplify]: Simplify im into im 5.763 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.764 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.764 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.764 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.764 * [taylor]: Taking taylor expansion of re in re 5.764 * [backup-simplify]: Simplify 0 into 0 5.764 * [backup-simplify]: Simplify 1 into 1 5.764 * [backup-simplify]: Simplify (* 1 1) into 1 5.764 * [backup-simplify]: Simplify (/ 1 1) into 1 5.764 * [backup-simplify]: Simplify (+ 0 1) into 1 5.765 * [backup-simplify]: Simplify (sqrt 1) into 1 5.765 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.766 * [backup-simplify]: Simplify (+ 0 0) into 0 5.766 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.766 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.766 * [taylor]: Taking taylor expansion of re in re 5.766 * [backup-simplify]: Simplify 0 into 0 5.766 * [backup-simplify]: Simplify 1 into 1 5.766 * [backup-simplify]: Simplify (/ 1 1) into 1 5.766 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 5.766 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.766 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.766 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.766 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.766 * [taylor]: Taking taylor expansion of im in re 5.766 * [backup-simplify]: Simplify im into im 5.767 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.767 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.767 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.767 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.767 * [taylor]: Taking taylor expansion of re in re 5.767 * [backup-simplify]: Simplify 0 into 0 5.767 * [backup-simplify]: Simplify 1 into 1 5.767 * [backup-simplify]: Simplify (* 1 1) into 1 5.767 * [backup-simplify]: Simplify (/ 1 1) into 1 5.767 * [backup-simplify]: Simplify (+ 0 1) into 1 5.768 * [backup-simplify]: Simplify (sqrt 1) into 1 5.768 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.769 * [backup-simplify]: Simplify (+ 0 0) into 0 5.769 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.769 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.769 * [taylor]: Taking taylor expansion of re in re 5.769 * [backup-simplify]: Simplify 0 into 0 5.769 * [backup-simplify]: Simplify 1 into 1 5.769 * [backup-simplify]: Simplify (/ 1 1) into 1 5.770 * [backup-simplify]: Simplify (- 1) into -1 5.770 * [backup-simplify]: Simplify (+ 1 -1) into 0 5.770 * [taylor]: Taking taylor expansion of 0 in im 5.770 * [backup-simplify]: Simplify 0 into 0 5.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.771 * [backup-simplify]: Simplify (- 0) into 0 5.771 * [backup-simplify]: Simplify (+ 0 0) into 0 5.771 * [taylor]: Taking taylor expansion of 0 in im 5.771 * [backup-simplify]: Simplify 0 into 0 5.771 * [backup-simplify]: Simplify 0 into 0 5.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.772 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 5.773 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.774 * [backup-simplify]: Simplify (- 0) into 0 5.774 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 5.774 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 5.774 * [taylor]: Taking taylor expansion of 1/2 in im 5.774 * [backup-simplify]: Simplify 1/2 into 1/2 5.774 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.774 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.774 * [taylor]: Taking taylor expansion of im in im 5.774 * [backup-simplify]: Simplify 0 into 0 5.774 * [backup-simplify]: Simplify 1 into 1 5.774 * [backup-simplify]: Simplify (* 1 1) into 1 5.774 * [backup-simplify]: Simplify (/ 1 1) into 1 5.775 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.776 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.776 * [backup-simplify]: Simplify 0 into 0 5.776 * [backup-simplify]: Simplify 0 into 0 5.776 * [backup-simplify]: Simplify 0 into 0 5.776 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.776 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.777 * [backup-simplify]: Simplify (+ 0 0) into 0 5.778 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.778 * [backup-simplify]: Simplify (- 0) into 0 5.779 * [backup-simplify]: Simplify (+ 0 0) into 0 5.779 * [taylor]: Taking taylor expansion of 0 in im 5.779 * [backup-simplify]: Simplify 0 into 0 5.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.780 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.780 * [backup-simplify]: Simplify 0 into 0 5.780 * [backup-simplify]: Simplify 0 into 0 5.780 * [backup-simplify]: Simplify 0 into 0 5.781 * [backup-simplify]: Simplify (- (* (* (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 5.781 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 5.781 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 5.781 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.781 * [taylor]: Taking taylor expansion of re in im 5.781 * [backup-simplify]: Simplify re into re 5.781 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.781 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.781 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.781 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.781 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.781 * [taylor]: Taking taylor expansion of im in im 5.781 * [backup-simplify]: Simplify 0 into 0 5.781 * [backup-simplify]: Simplify 1 into 1 5.782 * [backup-simplify]: Simplify (* 1 1) into 1 5.782 * [backup-simplify]: Simplify (/ 1 1) into 1 5.782 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.782 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.782 * [taylor]: Taking taylor expansion of re in im 5.782 * [backup-simplify]: Simplify re into re 5.782 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.782 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.782 * [backup-simplify]: Simplify (+ 1 0) into 1 5.783 * [backup-simplify]: Simplify (sqrt 1) into 1 5.783 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.783 * [backup-simplify]: Simplify (+ 0 0) into 0 5.784 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.784 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 5.784 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.784 * [taylor]: Taking taylor expansion of re in re 5.784 * [backup-simplify]: Simplify 0 into 0 5.784 * [backup-simplify]: Simplify 1 into 1 5.784 * [backup-simplify]: Simplify (/ 1 1) into 1 5.784 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.784 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.784 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.784 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.784 * [taylor]: Taking taylor expansion of im in re 5.784 * [backup-simplify]: Simplify im into im 5.784 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.785 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.785 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.785 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.785 * [taylor]: Taking taylor expansion of re in re 5.785 * [backup-simplify]: Simplify 0 into 0 5.785 * [backup-simplify]: Simplify 1 into 1 5.785 * [backup-simplify]: Simplify (* 1 1) into 1 5.785 * [backup-simplify]: Simplify (/ 1 1) into 1 5.785 * [backup-simplify]: Simplify (+ 0 1) into 1 5.786 * [backup-simplify]: Simplify (sqrt 1) into 1 5.786 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.787 * [backup-simplify]: Simplify (+ 0 0) into 0 5.787 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.787 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 5.787 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.787 * [taylor]: Taking taylor expansion of re in re 5.787 * [backup-simplify]: Simplify 0 into 0 5.787 * [backup-simplify]: Simplify 1 into 1 5.787 * [backup-simplify]: Simplify (/ 1 1) into 1 5.787 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.787 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.787 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.787 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.787 * [taylor]: Taking taylor expansion of im in re 5.787 * [backup-simplify]: Simplify im into im 5.787 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.788 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.788 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.788 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.788 * [taylor]: Taking taylor expansion of re in re 5.788 * [backup-simplify]: Simplify 0 into 0 5.788 * [backup-simplify]: Simplify 1 into 1 5.788 * [backup-simplify]: Simplify (* 1 1) into 1 5.788 * [backup-simplify]: Simplify (/ 1 1) into 1 5.788 * [backup-simplify]: Simplify (+ 0 1) into 1 5.789 * [backup-simplify]: Simplify (sqrt 1) into 1 5.789 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.790 * [backup-simplify]: Simplify (+ 0 0) into 0 5.790 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.790 * [backup-simplify]: Simplify (+ 1 1) into 2 5.790 * [taylor]: Taking taylor expansion of 2 in im 5.790 * [backup-simplify]: Simplify 2 into 2 5.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.791 * [backup-simplify]: Simplify (+ 0 0) into 0 5.791 * [taylor]: Taking taylor expansion of 0 in im 5.791 * [backup-simplify]: Simplify 0 into 0 5.791 * [backup-simplify]: Simplify 2 into 2 5.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.793 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 5.794 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.794 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 5.794 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 5.794 * [taylor]: Taking taylor expansion of 1/2 in im 5.794 * [backup-simplify]: Simplify 1/2 into 1/2 5.794 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.794 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.794 * [taylor]: Taking taylor expansion of im in im 5.794 * [backup-simplify]: Simplify 0 into 0 5.794 * [backup-simplify]: Simplify 1 into 1 5.794 * [backup-simplify]: Simplify (* 1 1) into 1 5.794 * [backup-simplify]: Simplify (/ 1 1) into 1 5.795 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.796 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.796 * [backup-simplify]: Simplify 0 into 0 5.796 * [backup-simplify]: Simplify 0 into 0 5.796 * [backup-simplify]: Simplify 0 into 0 5.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.797 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.797 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.799 * [backup-simplify]: Simplify (+ 0 0) into 0 5.800 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.800 * [backup-simplify]: Simplify (+ 0 0) into 0 5.800 * [taylor]: Taking taylor expansion of 0 in im 5.800 * [backup-simplify]: Simplify 0 into 0 5.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.803 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.803 * [backup-simplify]: Simplify 0 into 0 5.803 * [backup-simplify]: Simplify 0 into 0 5.803 * [backup-simplify]: Simplify 0 into 0 5.803 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 5.803 * * * [progress]: simplifying candidates 5.805 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* 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 (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (exp re)) (log (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (exp (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (* (cbrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (* (* (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (sqrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (sqrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (- (pow (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) 3) (pow re 3)) (+ (* (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (+ (* re re) (* (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))) (- re) (- (* (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* re re)) (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) (- re) im re (* -1 re) im re (* -1 re) im re (* -1 re) (- im re) 0 (* -2 re) 5.808 * * [simplify]: Extracting # 0 : cost 0 5.808 * * [simplify]: Extracting # 1 : cost 0 5.808 * * [simplify]: Extracting # 2 : cost 0 5.808 * * [simplify]: Extracting # 3 : cost 0 5.808 * * [simplify]: Extracting # 4 : cost 0 5.809 * * [simplify]: Extracting # 5 : cost 0 5.809 * * [simplify]: Extracting # 6 : cost 0 5.809 * * [simplify]: iteration 0 : 64 enodes (cost 1227 ) 5.833 * * [simplify]: Extracting # 0 : cost 0 5.833 * * [simplify]: Extracting # 1 : cost 0 5.834 * * [simplify]: Extracting # 2 : cost 0 5.834 * * [simplify]: Extracting # 3 : cost 0 5.834 * * [simplify]: Extracting # 4 : cost 0 5.834 * * [simplify]: iteration 1 : 150 enodes (cost 1131 ) 5.873 * * [simplify]: Extracting # 0 : cost 0 5.873 * * [simplify]: Extracting # 1 : cost 0 5.874 * * [simplify]: Extracting # 2 : cost 0 5.874 * * [simplify]: Extracting # 3 : cost 0 5.875 * * [simplify]: Extracting # 4 : cost 0 5.875 * * [simplify]: iteration 2 : 366 enodes (cost 665 ) 6.030 * * [simplify]: Extracting # 0 : cost 0 6.033 * * [simplify]: Extracting # 1 : cost 0 6.036 * * [simplify]: Extracting # 2 : cost 0 6.038 * * [simplify]: Extracting # 3 : cost 0 6.041 * * [simplify]: Extracting # 4 : cost 0 6.043 * * [simplify]: iteration 3 : 1069 enodes (cost 626 ) 7.154 * * [simplify]: Extracting # 0 : cost 0 7.163 * * [simplify]: Extracting # 1 : cost 0 7.171 * * [simplify]: Extracting # 2 : cost 0 7.177 * * [simplify]: Extracting # 3 : cost 0 7.181 * * [simplify]: Extracting # 4 : cost 0 7.185 * * [simplify]: iteration 4 : 3842 enodes (cost 618 ) 8.968 * * [simplify]: Extracting # 0 : cost 0 8.978 * * [simplify]: Extracting # 1 : cost 0 8.989 * * [simplify]: Extracting # 2 : cost 0 8.994 * * [simplify]: Extracting # 3 : cost 0 8.999 * * [simplify]: Extracting # 4 : cost 0 9.004 * * [simplify]: iteration done: 5000 enodes (cost 616 ) 9.004 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (cbrt (+ (* im im) (* re re))) (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 (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (cbrt (+ (* im im) (* re re))) (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 (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (cbrt (+ (* im im) (* re re))) (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 (+ re (+ re (sqrt (+ (* re re) (* im im))))))) (- re) (pow im 2) (+ re (sqrt (+ (* re re) (* im im)))) (- re) im re (- re) im re (- re) im re (- re) (- im re) 0 (* -2 re) 9.005 * * * [progress]: adding candidates to table 9.424 * * [progress]: iteration 3 / 4 9.424 * * * [progress]: picking best candidate 9.456 * * * * [pick]: Picked # 9.456 * * * [progress]: localizing error 9.484 * * * [progress]: generating rewritten candidates 9.484 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1) 9.502 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 9.525 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 9.589 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 9.673 * * * [progress]: generating series expansions 9.673 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1) 9.673 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 9.673 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 9.673 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 9.673 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 9.674 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.674 * [taylor]: Taking taylor expansion of re in im 9.674 * [backup-simplify]: Simplify re into re 9.674 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.674 * [taylor]: Taking taylor expansion of im in im 9.674 * [backup-simplify]: Simplify 0 into 0 9.674 * [backup-simplify]: Simplify 1 into 1 9.674 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.674 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 9.674 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 9.674 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 9.675 * [backup-simplify]: Simplify (+ 0 0) into 0 9.675 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 9.675 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 9.675 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 9.675 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.675 * [taylor]: Taking taylor expansion of re in re 9.675 * [backup-simplify]: Simplify 0 into 0 9.675 * [backup-simplify]: Simplify 1 into 1 9.675 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.675 * [taylor]: Taking taylor expansion of im in re 9.676 * [backup-simplify]: Simplify im into im 9.676 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.676 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 9.676 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 9.676 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.676 * [backup-simplify]: Simplify (+ 0 0) into 0 9.677 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 9.677 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 9.677 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 9.677 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.677 * [taylor]: Taking taylor expansion of re in re 9.677 * [backup-simplify]: Simplify 0 into 0 9.677 * [backup-simplify]: Simplify 1 into 1 9.677 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.677 * [taylor]: Taking taylor expansion of im in re 9.677 * [backup-simplify]: Simplify im into im 9.677 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.677 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 9.677 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 9.677 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.678 * [backup-simplify]: Simplify (+ 0 0) into 0 9.678 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 9.678 * [taylor]: Taking taylor expansion of im in im 9.678 * [backup-simplify]: Simplify 0 into 0 9.678 * [backup-simplify]: Simplify 1 into 1 9.678 * [backup-simplify]: Simplify 0 into 0 9.678 * [taylor]: Taking taylor expansion of 0 in im 9.678 * [backup-simplify]: Simplify 0 into 0 9.678 * [backup-simplify]: Simplify 0 into 0 9.678 * [backup-simplify]: Simplify 1 into 1 9.679 * [backup-simplify]: Simplify (* 1 1) into 1 9.680 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 9.680 * [backup-simplify]: Simplify (+ 1 0) into 1 9.681 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 9.681 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 9.681 * [taylor]: Taking taylor expansion of 1/2 in im 9.681 * [backup-simplify]: Simplify 1/2 into 1/2 9.681 * [taylor]: Taking taylor expansion of im in im 9.681 * [backup-simplify]: Simplify 0 into 0 9.681 * [backup-simplify]: Simplify 1 into 1 9.681 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.682 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.682 * [backup-simplify]: Simplify 0 into 0 9.682 * [backup-simplify]: Simplify 0 into 0 9.682 * [backup-simplify]: Simplify 0 into 0 9.683 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.684 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 9.684 * [backup-simplify]: Simplify (+ 0 0) into 0 9.684 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 9.684 * [taylor]: Taking taylor expansion of 0 in im 9.685 * [backup-simplify]: Simplify 0 into 0 9.685 * [backup-simplify]: Simplify 0 into 0 9.685 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.686 * [backup-simplify]: Simplify 0 into 0 9.686 * [backup-simplify]: Simplify 0 into 0 9.686 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 9.686 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 9.686 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 9.686 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 9.686 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 9.686 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.686 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.686 * [taylor]: Taking taylor expansion of im in im 9.686 * [backup-simplify]: Simplify 0 into 0 9.686 * [backup-simplify]: Simplify 1 into 1 9.687 * [backup-simplify]: Simplify (* 1 1) into 1 9.687 * [backup-simplify]: Simplify (/ 1 1) into 1 9.687 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.687 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.687 * [taylor]: Taking taylor expansion of re in im 9.687 * [backup-simplify]: Simplify re into re 9.687 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.687 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.688 * [backup-simplify]: Simplify (+ 1 0) into 1 9.688 * [backup-simplify]: Simplify (sqrt 1) into 1 9.689 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.690 * [backup-simplify]: Simplify (+ 0 0) into 0 9.691 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.691 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 9.691 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 9.691 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.691 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.691 * [taylor]: Taking taylor expansion of im in re 9.691 * [backup-simplify]: Simplify im into im 9.691 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.691 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.691 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.691 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.691 * [taylor]: Taking taylor expansion of re in re 9.691 * [backup-simplify]: Simplify 0 into 0 9.691 * [backup-simplify]: Simplify 1 into 1 9.692 * [backup-simplify]: Simplify (* 1 1) into 1 9.692 * [backup-simplify]: Simplify (/ 1 1) into 1 9.693 * [backup-simplify]: Simplify (+ 0 1) into 1 9.693 * [backup-simplify]: Simplify (sqrt 1) into 1 9.694 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.695 * [backup-simplify]: Simplify (+ 0 0) into 0 9.695 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.695 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 9.695 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 9.696 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.696 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.696 * [taylor]: Taking taylor expansion of im in re 9.696 * [backup-simplify]: Simplify im into im 9.696 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.696 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.696 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.696 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.696 * [taylor]: Taking taylor expansion of re in re 9.696 * [backup-simplify]: Simplify 0 into 0 9.696 * [backup-simplify]: Simplify 1 into 1 9.696 * [backup-simplify]: Simplify (* 1 1) into 1 9.697 * [backup-simplify]: Simplify (/ 1 1) into 1 9.697 * [backup-simplify]: Simplify (+ 0 1) into 1 9.698 * [backup-simplify]: Simplify (sqrt 1) into 1 9.698 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.699 * [backup-simplify]: Simplify (+ 0 0) into 0 9.700 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.700 * [taylor]: Taking taylor expansion of 1 in im 9.700 * [backup-simplify]: Simplify 1 into 1 9.700 * [taylor]: Taking taylor expansion of 0 in im 9.700 * [backup-simplify]: Simplify 0 into 0 9.700 * [backup-simplify]: Simplify 1 into 1 9.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.702 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 9.704 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 9.704 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 9.704 * [taylor]: Taking taylor expansion of 1/2 in im 9.704 * [backup-simplify]: Simplify 1/2 into 1/2 9.704 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.704 * [taylor]: Taking taylor expansion of im in im 9.704 * [backup-simplify]: Simplify 0 into 0 9.704 * [backup-simplify]: Simplify 1 into 1 9.704 * [backup-simplify]: Simplify (* 1 1) into 1 9.705 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.705 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.706 * [backup-simplify]: Simplify 0 into 0 9.706 * [backup-simplify]: Simplify 0 into 0 9.706 * [backup-simplify]: Simplify 0 into 0 9.706 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.707 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 9.708 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.709 * [backup-simplify]: Simplify (+ 0 0) into 0 9.710 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 9.710 * [taylor]: Taking taylor expansion of 0 in im 9.710 * [backup-simplify]: Simplify 0 into 0 9.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.712 * [backup-simplify]: Simplify 0 into 0 9.712 * [backup-simplify]: Simplify 0 into 0 9.712 * [backup-simplify]: Simplify 0 into 0 9.712 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 9.713 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 9.713 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 9.713 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 9.713 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 9.713 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.713 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.713 * [taylor]: Taking taylor expansion of im in im 9.713 * [backup-simplify]: Simplify 0 into 0 9.713 * [backup-simplify]: Simplify 1 into 1 9.714 * [backup-simplify]: Simplify (* 1 1) into 1 9.714 * [backup-simplify]: Simplify (/ 1 1) into 1 9.714 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.714 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.714 * [taylor]: Taking taylor expansion of re in im 9.714 * [backup-simplify]: Simplify re into re 9.714 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.714 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.715 * [backup-simplify]: Simplify (+ 1 0) into 1 9.715 * [backup-simplify]: Simplify (sqrt 1) into 1 9.716 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.717 * [backup-simplify]: Simplify (+ 0 0) into 0 9.718 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.718 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 9.718 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 9.718 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.718 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.718 * [taylor]: Taking taylor expansion of im in re 9.718 * [backup-simplify]: Simplify im into im 9.718 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.718 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.718 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.718 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.718 * [taylor]: Taking taylor expansion of re in re 9.718 * [backup-simplify]: Simplify 0 into 0 9.718 * [backup-simplify]: Simplify 1 into 1 9.719 * [backup-simplify]: Simplify (* 1 1) into 1 9.719 * [backup-simplify]: Simplify (/ 1 1) into 1 9.719 * [backup-simplify]: Simplify (+ 0 1) into 1 9.720 * [backup-simplify]: Simplify (sqrt 1) into 1 9.720 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.721 * [backup-simplify]: Simplify (+ 0 0) into 0 9.722 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.722 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 9.722 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 9.722 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.722 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.722 * [taylor]: Taking taylor expansion of im in re 9.722 * [backup-simplify]: Simplify im into im 9.722 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.723 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.723 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.723 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.723 * [taylor]: Taking taylor expansion of re in re 9.723 * [backup-simplify]: Simplify 0 into 0 9.723 * [backup-simplify]: Simplify 1 into 1 9.723 * [backup-simplify]: Simplify (* 1 1) into 1 9.723 * [backup-simplify]: Simplify (/ 1 1) into 1 9.724 * [backup-simplify]: Simplify (+ 0 1) into 1 9.724 * [backup-simplify]: Simplify (sqrt 1) into 1 9.725 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.726 * [backup-simplify]: Simplify (+ 0 0) into 0 9.727 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.727 * [taylor]: Taking taylor expansion of 1 in im 9.727 * [backup-simplify]: Simplify 1 into 1 9.727 * [taylor]: Taking taylor expansion of 0 in im 9.727 * [backup-simplify]: Simplify 0 into 0 9.727 * [backup-simplify]: Simplify 1 into 1 9.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.729 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 9.730 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 9.730 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 9.730 * [taylor]: Taking taylor expansion of 1/2 in im 9.730 * [backup-simplify]: Simplify 1/2 into 1/2 9.730 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.731 * [taylor]: Taking taylor expansion of im in im 9.731 * [backup-simplify]: Simplify 0 into 0 9.731 * [backup-simplify]: Simplify 1 into 1 9.731 * [backup-simplify]: Simplify (* 1 1) into 1 9.731 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.732 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.733 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.733 * [backup-simplify]: Simplify 0 into 0 9.733 * [backup-simplify]: Simplify 0 into 0 9.733 * [backup-simplify]: Simplify 0 into 0 9.733 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.733 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 9.734 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.736 * [backup-simplify]: Simplify (+ 0 0) into 0 9.736 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 9.736 * [taylor]: Taking taylor expansion of 0 in im 9.736 * [backup-simplify]: Simplify 0 into 0 9.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.738 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.738 * [backup-simplify]: Simplify 0 into 0 9.738 * [backup-simplify]: Simplify 0 into 0 9.738 * [backup-simplify]: Simplify 0 into 0 9.739 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 9.739 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 9.739 * [backup-simplify]: Simplify (sqrt (* 2.0 (* im im))) into (* (sqrt 2.0) im) 9.739 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) im) in (im) around 0 9.739 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 9.739 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.739 * [taylor]: Taking taylor expansion of 2.0 in im 9.739 * [backup-simplify]: Simplify 2.0 into 2.0 9.739 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.740 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.740 * [taylor]: Taking taylor expansion of im in im 9.740 * [backup-simplify]: Simplify 0 into 0 9.740 * [backup-simplify]: Simplify 1 into 1 9.740 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 9.740 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.740 * [taylor]: Taking taylor expansion of 2.0 in im 9.740 * [backup-simplify]: Simplify 2.0 into 2.0 9.741 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.741 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.741 * [taylor]: Taking taylor expansion of im in im 9.742 * [backup-simplify]: Simplify 0 into 0 9.742 * [backup-simplify]: Simplify 1 into 1 9.742 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 9.742 * [backup-simplify]: Simplify 0 into 0 9.744 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0) 9.745 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.746 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 9.747 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0 9.747 * [backup-simplify]: Simplify 0 into 0 9.748 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.749 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.749 * [backup-simplify]: Simplify 0 into 0 9.751 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.752 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 9.752 * [backup-simplify]: Simplify 0 into 0 9.753 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.755 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 9.755 * [backup-simplify]: Simplify 0 into 0 9.756 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.758 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 9.758 * [backup-simplify]: Simplify 0 into 0 9.760 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.762 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 9.762 * [backup-simplify]: Simplify 0 into 0 9.762 * [backup-simplify]: Simplify (* (sqrt 2.0) im) into (* (sqrt 2.0) im) 9.762 * [backup-simplify]: Simplify (sqrt (* 2.0 (* (/ 1 im) (/ 1 im)))) into (/ (sqrt 2.0) im) 9.763 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) im) in (im) around 0 9.763 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 9.763 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.763 * [taylor]: Taking taylor expansion of 2.0 in im 9.763 * [backup-simplify]: Simplify 2.0 into 2.0 9.763 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.764 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.764 * [taylor]: Taking taylor expansion of im in im 9.764 * [backup-simplify]: Simplify 0 into 0 9.764 * [backup-simplify]: Simplify 1 into 1 9.769 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 9.769 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 9.769 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.769 * [taylor]: Taking taylor expansion of 2.0 in im 9.770 * [backup-simplify]: Simplify 2.0 into 2.0 9.770 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.771 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.771 * [taylor]: Taking taylor expansion of im in im 9.771 * [backup-simplify]: Simplify 0 into 0 9.771 * [backup-simplify]: Simplify 1 into 1 9.772 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 9.772 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 9.773 * [backup-simplify]: Simplify 0 into 0 9.774 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 9.775 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.775 * [backup-simplify]: Simplify 0 into 0 9.777 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.778 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.778 * [backup-simplify]: Simplify 0 into 0 9.779 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.780 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.780 * [backup-simplify]: Simplify 0 into 0 9.781 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.782 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.783 * [backup-simplify]: Simplify 0 into 0 9.784 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.785 * [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 9.785 * [backup-simplify]: Simplify 0 into 0 9.786 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ 1 (/ 1 im))) into (* (sqrt 2.0) im) 9.786 * [backup-simplify]: Simplify (sqrt (* 2.0 (* (/ 1 (- im)) (/ 1 (- im))))) into (/ (sqrt 2.0) im) 9.786 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) im) in (im) around 0 9.786 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 9.786 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.786 * [taylor]: Taking taylor expansion of 2.0 in im 9.786 * [backup-simplify]: Simplify 2.0 into 2.0 9.786 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.787 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.787 * [taylor]: Taking taylor expansion of im in im 9.787 * [backup-simplify]: Simplify 0 into 0 9.787 * [backup-simplify]: Simplify 1 into 1 9.788 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 9.788 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 9.788 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.788 * [taylor]: Taking taylor expansion of 2.0 in im 9.788 * [backup-simplify]: Simplify 2.0 into 2.0 9.789 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.789 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.789 * [taylor]: Taking taylor expansion of im in im 9.789 * [backup-simplify]: Simplify 0 into 0 9.789 * [backup-simplify]: Simplify 1 into 1 9.790 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 9.791 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.792 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 9.792 * [backup-simplify]: Simplify 0 into 0 9.793 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 9.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.794 * [backup-simplify]: Simplify 0 into 0 9.795 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.796 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.796 * [backup-simplify]: Simplify 0 into 0 9.798 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.799 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.799 * [backup-simplify]: Simplify 0 into 0 9.800 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.801 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.801 * [backup-simplify]: Simplify 0 into 0 9.803 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.804 * [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 9.804 * [backup-simplify]: Simplify 0 into 0 9.805 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ 1 (/ 1 (- im)))) into (* -1 (* (sqrt 2.0) im)) 9.805 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 9.805 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2)))) 9.805 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 9.805 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 9.805 * [taylor]: Taking taylor expansion of re in im 9.805 * [backup-simplify]: Simplify re into re 9.805 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 9.805 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 9.805 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.805 * [taylor]: Taking taylor expansion of re in im 9.805 * [backup-simplify]: Simplify re into re 9.805 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.805 * [taylor]: Taking taylor expansion of im in im 9.805 * [backup-simplify]: Simplify 0 into 0 9.805 * [backup-simplify]: Simplify 1 into 1 9.805 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.806 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 9.806 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 9.806 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 9.806 * [backup-simplify]: Simplify (+ 0 0) into 0 9.807 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 9.807 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 9.807 * [taylor]: Taking taylor expansion of re in re 9.807 * [backup-simplify]: Simplify 0 into 0 9.807 * [backup-simplify]: Simplify 1 into 1 9.807 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 9.807 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 9.807 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.807 * [taylor]: Taking taylor expansion of re in re 9.807 * [backup-simplify]: Simplify 0 into 0 9.807 * [backup-simplify]: Simplify 1 into 1 9.807 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.807 * [taylor]: Taking taylor expansion of im in re 9.807 * [backup-simplify]: Simplify im into im 9.807 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.807 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 9.807 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 9.807 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.808 * [backup-simplify]: Simplify (+ 0 0) into 0 9.808 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 9.808 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 9.808 * [taylor]: Taking taylor expansion of re in re 9.808 * [backup-simplify]: Simplify 0 into 0 9.808 * [backup-simplify]: Simplify 1 into 1 9.808 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 9.808 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 9.808 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.808 * [taylor]: Taking taylor expansion of re in re 9.808 * [backup-simplify]: Simplify 0 into 0 9.808 * [backup-simplify]: Simplify 1 into 1 9.808 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.808 * [taylor]: Taking taylor expansion of im in re 9.808 * [backup-simplify]: Simplify im into im 9.808 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.809 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 9.809 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 9.809 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.809 * [backup-simplify]: Simplify (+ 0 0) into 0 9.809 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 9.810 * [backup-simplify]: Simplify (+ 0 im) into im 9.810 * [taylor]: Taking taylor expansion of im in im 9.810 * [backup-simplify]: Simplify 0 into 0 9.810 * [backup-simplify]: Simplify 1 into 1 9.810 * [backup-simplify]: Simplify 0 into 0 9.810 * [backup-simplify]: Simplify (+ 1 0) into 1 9.810 * [taylor]: Taking taylor expansion of 1 in im 9.810 * [backup-simplify]: Simplify 1 into 1 9.810 * [backup-simplify]: Simplify 1 into 1 9.810 * [backup-simplify]: Simplify 1 into 1 9.811 * [backup-simplify]: Simplify (* 1 1) into 1 9.811 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 9.811 * [backup-simplify]: Simplify (+ 1 0) into 1 9.812 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 9.812 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 9.812 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 9.812 * [taylor]: Taking taylor expansion of 1/2 in im 9.812 * [backup-simplify]: Simplify 1/2 into 1/2 9.812 * [taylor]: Taking taylor expansion of (/ 1 im) in im 9.813 * [taylor]: Taking taylor expansion of im in im 9.813 * [backup-simplify]: Simplify 0 into 0 9.813 * [backup-simplify]: Simplify 1 into 1 9.813 * [backup-simplify]: Simplify (/ 1 1) into 1 9.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.814 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.814 * [backup-simplify]: Simplify 0 into 0 9.814 * [backup-simplify]: Simplify 0 into 0 9.815 * [backup-simplify]: Simplify 0 into 0 9.815 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.816 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 9.816 * [backup-simplify]: Simplify (+ 0 0) into 0 9.817 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 9.817 * [backup-simplify]: Simplify (+ 0 0) into 0 9.817 * [taylor]: Taking taylor expansion of 0 in im 9.817 * [backup-simplify]: Simplify 0 into 0 9.817 * [backup-simplify]: Simplify 0 into 0 9.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.819 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 9.819 * [backup-simplify]: Simplify 0 into 0 9.820 * [backup-simplify]: Simplify 0 into 0 9.820 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 9.820 * [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))))) 9.820 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 9.820 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 9.820 * [taylor]: Taking taylor expansion of (/ 1 re) in im 9.820 * [taylor]: Taking taylor expansion of re in im 9.820 * [backup-simplify]: Simplify re into re 9.820 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 9.820 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 9.820 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 9.820 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.820 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.821 * [taylor]: Taking taylor expansion of im in im 9.821 * [backup-simplify]: Simplify 0 into 0 9.821 * [backup-simplify]: Simplify 1 into 1 9.821 * [backup-simplify]: Simplify (* 1 1) into 1 9.821 * [backup-simplify]: Simplify (/ 1 1) into 1 9.821 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.821 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.822 * [taylor]: Taking taylor expansion of re in im 9.822 * [backup-simplify]: Simplify re into re 9.822 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.822 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.822 * [backup-simplify]: Simplify (+ 1 0) into 1 9.823 * [backup-simplify]: Simplify (sqrt 1) into 1 9.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.824 * [backup-simplify]: Simplify (+ 0 0) into 0 9.825 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.825 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 9.825 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.825 * [taylor]: Taking taylor expansion of re in re 9.825 * [backup-simplify]: Simplify 0 into 0 9.825 * [backup-simplify]: Simplify 1 into 1 9.826 * [backup-simplify]: Simplify (/ 1 1) into 1 9.826 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 9.826 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 9.826 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.826 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.826 * [taylor]: Taking taylor expansion of im in re 9.826 * [backup-simplify]: Simplify im into im 9.826 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.826 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.826 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.826 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.826 * [taylor]: Taking taylor expansion of re in re 9.826 * [backup-simplify]: Simplify 0 into 0 9.826 * [backup-simplify]: Simplify 1 into 1 9.827 * [backup-simplify]: Simplify (* 1 1) into 1 9.827 * [backup-simplify]: Simplify (/ 1 1) into 1 9.828 * [backup-simplify]: Simplify (+ 0 1) into 1 9.828 * [backup-simplify]: Simplify (sqrt 1) into 1 9.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.830 * [backup-simplify]: Simplify (+ 0 0) into 0 9.830 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.830 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 9.830 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.830 * [taylor]: Taking taylor expansion of re in re 9.831 * [backup-simplify]: Simplify 0 into 0 9.831 * [backup-simplify]: Simplify 1 into 1 9.831 * [backup-simplify]: Simplify (/ 1 1) into 1 9.831 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 9.831 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 9.831 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.831 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.831 * [taylor]: Taking taylor expansion of im in re 9.831 * [backup-simplify]: Simplify im into im 9.831 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.831 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.831 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.831 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.831 * [taylor]: Taking taylor expansion of re in re 9.832 * [backup-simplify]: Simplify 0 into 0 9.832 * [backup-simplify]: Simplify 1 into 1 9.832 * [backup-simplify]: Simplify (* 1 1) into 1 9.832 * [backup-simplify]: Simplify (/ 1 1) into 1 9.833 * [backup-simplify]: Simplify (+ 0 1) into 1 9.833 * [backup-simplify]: Simplify (sqrt 1) into 1 9.834 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.835 * [backup-simplify]: Simplify (+ 0 0) into 0 9.835 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.836 * [backup-simplify]: Simplify (+ 1 1) into 2 9.836 * [taylor]: Taking taylor expansion of 2 in im 9.836 * [backup-simplify]: Simplify 2 into 2 9.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.837 * [backup-simplify]: Simplify (+ 0 0) into 0 9.837 * [taylor]: Taking taylor expansion of 0 in im 9.837 * [backup-simplify]: Simplify 0 into 0 9.837 * [backup-simplify]: Simplify 2 into 2 9.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.840 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 9.841 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 9.841 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 9.842 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 9.842 * [taylor]: Taking taylor expansion of 1/2 in im 9.842 * [backup-simplify]: Simplify 1/2 into 1/2 9.842 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.842 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.842 * [taylor]: Taking taylor expansion of im in im 9.842 * [backup-simplify]: Simplify 0 into 0 9.842 * [backup-simplify]: Simplify 1 into 1 9.842 * [backup-simplify]: Simplify (* 1 1) into 1 9.842 * [backup-simplify]: Simplify (/ 1 1) into 1 9.843 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.844 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.844 * [backup-simplify]: Simplify 0 into 0 9.844 * [backup-simplify]: Simplify 0 into 0 9.844 * [backup-simplify]: Simplify 0 into 0 9.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.845 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.846 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 9.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.848 * [backup-simplify]: Simplify (+ 0 0) into 0 9.848 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 9.848 * [backup-simplify]: Simplify (+ 0 0) into 0 9.848 * [taylor]: Taking taylor expansion of 0 in im 9.849 * [backup-simplify]: Simplify 0 into 0 9.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.851 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 9.852 * [backup-simplify]: Simplify 0 into 0 9.852 * [backup-simplify]: Simplify 0 into 0 9.852 * [backup-simplify]: Simplify 0 into 0 9.852 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 9.852 * [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)) 9.852 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 9.852 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 9.852 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 9.852 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 9.852 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.852 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.853 * [taylor]: Taking taylor expansion of im in im 9.853 * [backup-simplify]: Simplify 0 into 0 9.853 * [backup-simplify]: Simplify 1 into 1 9.853 * [backup-simplify]: Simplify (* 1 1) into 1 9.853 * [backup-simplify]: Simplify (/ 1 1) into 1 9.853 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.854 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.854 * [taylor]: Taking taylor expansion of re in im 9.854 * [backup-simplify]: Simplify re into re 9.854 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.854 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.854 * [backup-simplify]: Simplify (+ 1 0) into 1 9.855 * [backup-simplify]: Simplify (sqrt 1) into 1 9.855 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.856 * [backup-simplify]: Simplify (+ 0 0) into 0 9.857 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.857 * [taylor]: Taking taylor expansion of (/ 1 re) in im 9.857 * [taylor]: Taking taylor expansion of re in im 9.857 * [backup-simplify]: Simplify re into re 9.857 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 9.857 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 9.857 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 9.857 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 9.857 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.857 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.857 * [taylor]: Taking taylor expansion of im in re 9.857 * [backup-simplify]: Simplify im into im 9.858 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.858 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.858 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.858 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.858 * [taylor]: Taking taylor expansion of re in re 9.858 * [backup-simplify]: Simplify 0 into 0 9.858 * [backup-simplify]: Simplify 1 into 1 9.858 * [backup-simplify]: Simplify (* 1 1) into 1 9.859 * [backup-simplify]: Simplify (/ 1 1) into 1 9.859 * [backup-simplify]: Simplify (+ 0 1) into 1 9.859 * [backup-simplify]: Simplify (sqrt 1) into 1 9.860 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.861 * [backup-simplify]: Simplify (+ 0 0) into 0 9.862 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.862 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.862 * [taylor]: Taking taylor expansion of re in re 9.862 * [backup-simplify]: Simplify 0 into 0 9.862 * [backup-simplify]: Simplify 1 into 1 9.862 * [backup-simplify]: Simplify (/ 1 1) into 1 9.862 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 9.862 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 9.862 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 9.862 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.862 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.862 * [taylor]: Taking taylor expansion of im in re 9.862 * [backup-simplify]: Simplify im into im 9.862 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.863 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.863 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.863 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.863 * [taylor]: Taking taylor expansion of re in re 9.863 * [backup-simplify]: Simplify 0 into 0 9.863 * [backup-simplify]: Simplify 1 into 1 9.863 * [backup-simplify]: Simplify (* 1 1) into 1 9.863 * [backup-simplify]: Simplify (/ 1 1) into 1 9.864 * [backup-simplify]: Simplify (+ 0 1) into 1 9.864 * [backup-simplify]: Simplify (sqrt 1) into 1 9.865 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.866 * [backup-simplify]: Simplify (+ 0 0) into 0 9.867 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.867 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.867 * [taylor]: Taking taylor expansion of re in re 9.867 * [backup-simplify]: Simplify 0 into 0 9.867 * [backup-simplify]: Simplify 1 into 1 9.867 * [backup-simplify]: Simplify (/ 1 1) into 1 9.867 * [backup-simplify]: Simplify (- 1) into -1 9.868 * [backup-simplify]: Simplify (+ 1 -1) into 0 9.868 * [taylor]: Taking taylor expansion of 0 in im 9.868 * [backup-simplify]: Simplify 0 into 0 9.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.869 * [backup-simplify]: Simplify (- 0) into 0 9.869 * [backup-simplify]: Simplify (+ 0 0) into 0 9.869 * [taylor]: Taking taylor expansion of 0 in im 9.869 * [backup-simplify]: Simplify 0 into 0 9.869 * [backup-simplify]: Simplify 0 into 0 9.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.871 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 9.872 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 9.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.873 * [backup-simplify]: Simplify (- 0) into 0 9.874 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 9.874 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 9.874 * [taylor]: Taking taylor expansion of 1/2 in im 9.874 * [backup-simplify]: Simplify 1/2 into 1/2 9.874 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.874 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.874 * [taylor]: Taking taylor expansion of im in im 9.874 * [backup-simplify]: Simplify 0 into 0 9.874 * [backup-simplify]: Simplify 1 into 1 9.874 * [backup-simplify]: Simplify (* 1 1) into 1 9.875 * [backup-simplify]: Simplify (/ 1 1) into 1 9.875 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.876 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.877 * [backup-simplify]: Simplify 0 into 0 9.877 * [backup-simplify]: Simplify 0 into 0 9.877 * [backup-simplify]: Simplify 0 into 0 9.877 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.877 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 9.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.879 * [backup-simplify]: Simplify (+ 0 0) into 0 9.880 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 9.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.882 * [backup-simplify]: Simplify (- 0) into 0 9.882 * [backup-simplify]: Simplify (+ 0 0) into 0 9.882 * [taylor]: Taking taylor expansion of 0 in im 9.882 * [backup-simplify]: Simplify 0 into 0 9.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.885 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 9.885 * [backup-simplify]: Simplify 0 into 0 9.885 * [backup-simplify]: Simplify 0 into 0 9.885 * [backup-simplify]: Simplify 0 into 0 9.885 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 9.886 * [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))))))) 9.886 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in (im re) around 0 9.886 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in re 9.886 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re 9.886 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.886 * [taylor]: Taking taylor expansion of 2.0 in re 9.886 * [backup-simplify]: Simplify 2.0 into 2.0 9.886 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.887 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.887 * [taylor]: Taking taylor expansion of im in re 9.887 * [backup-simplify]: Simplify im into im 9.887 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 9.887 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 9.887 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 9.887 * [taylor]: Taking taylor expansion of re in re 9.887 * [backup-simplify]: Simplify 0 into 0 9.887 * [backup-simplify]: Simplify 1 into 1 9.887 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 9.887 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 9.887 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.887 * [taylor]: Taking taylor expansion of re in re 9.887 * [backup-simplify]: Simplify 0 into 0 9.887 * [backup-simplify]: Simplify 1 into 1 9.887 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.887 * [taylor]: Taking taylor expansion of im in re 9.887 * [backup-simplify]: Simplify im into im 9.887 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.888 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 9.888 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 9.888 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.888 * [backup-simplify]: Simplify (+ 0 0) into 0 9.888 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 9.888 * [backup-simplify]: Simplify (+ 0 im) into im 9.889 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 9.889 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im)) 9.889 * [backup-simplify]: Simplify (+ 1 0) into 1 9.889 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 1 im)))) into (- (/ 1 (pow im 2))) 9.890 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2))) (* 2 (sqrt (/ 1 im)))) into (* -1/2 (sqrt (/ 1 (pow im 3)))) 9.890 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 9.890 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 9.890 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.890 * [taylor]: Taking taylor expansion of 2.0 in im 9.890 * [backup-simplify]: Simplify 2.0 into 2.0 9.890 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.891 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.891 * [taylor]: Taking taylor expansion of im in im 9.891 * [backup-simplify]: Simplify 0 into 0 9.891 * [backup-simplify]: Simplify 1 into 1 9.891 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 9.891 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 9.891 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 9.891 * [taylor]: Taking taylor expansion of re in im 9.891 * [backup-simplify]: Simplify re into re 9.891 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 9.891 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 9.891 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.891 * [taylor]: Taking taylor expansion of re in im 9.891 * [backup-simplify]: Simplify re into re 9.891 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.891 * [taylor]: Taking taylor expansion of im in im 9.891 * [backup-simplify]: Simplify 0 into 0 9.891 * [backup-simplify]: Simplify 1 into 1 9.892 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.892 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 9.892 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 9.892 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 9.892 * [backup-simplify]: Simplify (+ 0 0) into 0 9.893 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 9.893 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 9.893 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 9.893 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 9.893 * [backup-simplify]: Simplify (+ 0 0) into 0 9.893 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 9.893 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 9.894 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 9.894 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 9.894 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.894 * [taylor]: Taking taylor expansion of 2.0 in im 9.894 * [backup-simplify]: Simplify 2.0 into 2.0 9.894 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.895 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.895 * [taylor]: Taking taylor expansion of im in im 9.895 * [backup-simplify]: Simplify 0 into 0 9.895 * [backup-simplify]: Simplify 1 into 1 9.895 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 9.895 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 9.895 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 9.895 * [taylor]: Taking taylor expansion of re in im 9.895 * [backup-simplify]: Simplify re into re 9.895 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 9.895 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 9.895 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.895 * [taylor]: Taking taylor expansion of re in im 9.895 * [backup-simplify]: Simplify re into re 9.895 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.895 * [taylor]: Taking taylor expansion of im in im 9.895 * [backup-simplify]: Simplify 0 into 0 9.895 * [backup-simplify]: Simplify 1 into 1 9.895 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.896 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 9.896 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 9.896 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 9.896 * [backup-simplify]: Simplify (+ 0 0) into 0 9.896 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 9.896 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 9.897 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 9.897 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 9.897 * [backup-simplify]: Simplify (+ 0 0) into 0 9.897 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 9.897 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 9.898 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 9.898 * [backup-simplify]: Simplify (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2))) into 0 9.898 * [taylor]: Taking taylor expansion of 0 in re 9.898 * [backup-simplify]: Simplify 0 into 0 9.898 * [backup-simplify]: Simplify 0 into 0 9.900 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0) 9.902 * [backup-simplify]: Simplify (+ (* 0 0) (* (sqrt 2.0) (* (sqrt (/ 1 re)) (sqrt 1/2)))) into (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re))) 9.902 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re))) in re 9.902 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 1/2)) in re 9.902 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.902 * [taylor]: Taking taylor expansion of 2.0 in re 9.902 * [backup-simplify]: Simplify 2.0 into 2.0 9.902 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.903 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.903 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 9.903 * [taylor]: Taking taylor expansion of 1/2 in re 9.903 * [backup-simplify]: Simplify 1/2 into 1/2 9.904 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 9.904 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 9.904 * [taylor]: Taking taylor expansion of (sqrt (/ 1 re)) in re 9.904 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.904 * [taylor]: Taking taylor expansion of re in re 9.904 * [backup-simplify]: Simplify 0 into 0 9.904 * [backup-simplify]: Simplify 1 into 1 9.905 * [backup-simplify]: Simplify (/ 1 1) into 1 9.905 * [backup-simplify]: Simplify (sqrt 0) into 0 9.906 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.908 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 1/2)) into (* (sqrt 2.0) (sqrt 1/2)) 9.909 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 1/2))) into 0 9.912 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 9.919 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 9.919 * [backup-simplify]: Simplify 0 into 0 9.920 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 9.920 * [backup-simplify]: Simplify (* 1 1) into 1 9.921 * [backup-simplify]: Simplify (+ 0 1) into 1 9.922 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 9.922 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re)) 9.922 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ (* 1/2 (/ 1 re)) (* 2 re))) (* 0 (/ 0 (* 2 re))))) into (- (* 1/8 (/ 1 (pow re 3)))) 9.924 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow re 3)))) (pow 0 2) (+)) (* 2 (* (sqrt (/ 1 re)) (sqrt 1/2)))) into (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2)))) 9.925 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 9.926 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0 9.928 * [backup-simplify]: Simplify (+ (* 0 (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2))))) (+ (* (sqrt 2.0) 0) (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2))))) into 0 9.928 * [taylor]: Taking taylor expansion of 0 in re 9.928 * [backup-simplify]: Simplify 0 into 0 9.928 * [backup-simplify]: Simplify 0 into 0 9.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.932 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.933 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 9.934 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 9.935 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 9.939 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 9.942 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 9.943 * [backup-simplify]: Simplify 0 into 0 9.943 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 9.944 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.944 * [backup-simplify]: Simplify (+ 0 0) into 0 9.944 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 9.945 * [backup-simplify]: Simplify (+ 0 0) into 0 9.945 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))) (* 0 (/ (* 1/2 (/ 1 re)) (* 2 re))) (* (- (* 1/8 (/ 1 (pow re 3)))) (/ 0 (* 2 re))))) into 0 9.947 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2)))))))) (* 2 (* (sqrt (/ 1 re)) (sqrt 1/2)))) into 0 9.948 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.949 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.952 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (sqrt 2.0) (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2))))) (+ (* 0 0) (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2)))))) into (- (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) 9.952 * [taylor]: Taking taylor expansion of (- (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) in re 9.952 * [taylor]: Taking taylor expansion of (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5))))) in re 9.952 * [taylor]: Taking taylor expansion of 1/16 in re 9.952 * [backup-simplify]: Simplify 1/16 into 1/16 9.952 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))) in re 9.952 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 1/2)) in re 9.952 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.953 * [taylor]: Taking taylor expansion of 2.0 in re 9.953 * [backup-simplify]: Simplify 2.0 into 2.0 9.953 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.954 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.954 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 9.954 * [taylor]: Taking taylor expansion of 1/2 in re 9.954 * [backup-simplify]: Simplify 1/2 into 1/2 9.954 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 9.955 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 9.956 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt 1/2)) into (/ (sqrt 2.0) (sqrt 1/2)) 9.956 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 5))) in re 9.956 * [taylor]: Taking taylor expansion of (/ 1 (pow re 5)) in re 9.956 * [taylor]: Taking taylor expansion of (pow re 5) in re 9.956 * [taylor]: Taking taylor expansion of re in re 9.956 * [backup-simplify]: Simplify 0 into 0 9.956 * [backup-simplify]: Simplify 1 into 1 9.957 * [backup-simplify]: Simplify (* 1 1) into 1 9.957 * [backup-simplify]: Simplify (* 1 1) into 1 9.958 * [backup-simplify]: Simplify (* 1 1) into 1 9.958 * [backup-simplify]: Simplify (/ 1 1) into 1 9.958 * [backup-simplify]: Simplify (sqrt 0) into 0 9.960 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.961 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.963 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.964 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.968 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.972 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.973 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))))) into 0 9.974 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 9.975 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 9.976 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0 9.978 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.979 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 9.980 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0 9.985 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 9.989 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 9.993 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 9.994 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (sqrt 1/2)) 0) into 0 10.002 * [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)))) 10.007 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 10.010 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 10.021 * [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)))))))) 10.021 * [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)))))))) 10.021 * [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 10.021 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re 10.021 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 10.021 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.022 * [taylor]: Taking taylor expansion of 2.0 in re 10.022 * [backup-simplify]: Simplify 2.0 into 2.0 10.022 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.023 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.023 * [taylor]: Taking taylor expansion of im in re 10.023 * [backup-simplify]: Simplify im into im 10.023 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 10.023 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 10.023 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 10.023 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 10.023 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.023 * [taylor]: Taking taylor expansion of re in re 10.023 * [backup-simplify]: Simplify 0 into 0 10.023 * [backup-simplify]: Simplify 1 into 1 10.024 * [backup-simplify]: Simplify (/ 1 1) into 1 10.024 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 10.024 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 10.024 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.024 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.024 * [taylor]: Taking taylor expansion of im in re 10.024 * [backup-simplify]: Simplify im into im 10.024 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.024 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.024 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.024 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.024 * [taylor]: Taking taylor expansion of re in re 10.024 * [backup-simplify]: Simplify 0 into 0 10.024 * [backup-simplify]: Simplify 1 into 1 10.025 * [backup-simplify]: Simplify (* 1 1) into 1 10.025 * [backup-simplify]: Simplify (/ 1 1) into 1 10.025 * [backup-simplify]: Simplify (+ 0 1) into 1 10.026 * [backup-simplify]: Simplify (sqrt 1) into 1 10.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.027 * [backup-simplify]: Simplify (+ 0 0) into 0 10.028 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.028 * [backup-simplify]: Simplify (+ 1 1) into 2 10.029 * [backup-simplify]: Simplify (/ 1 2) into 1/2 10.029 * [backup-simplify]: Simplify (sqrt 0) into 0 10.030 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0 10.030 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 10.030 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 10.030 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 10.030 * [taylor]: Taking taylor expansion of 2.0 in im 10.030 * [backup-simplify]: Simplify 2.0 into 2.0 10.030 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.031 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.031 * [taylor]: Taking taylor expansion of im in im 10.031 * [backup-simplify]: Simplify 0 into 0 10.031 * [backup-simplify]: Simplify 1 into 1 10.031 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 10.031 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 10.031 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 10.031 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 10.031 * [taylor]: Taking taylor expansion of (/ 1 re) in im 10.031 * [taylor]: Taking taylor expansion of re in im 10.031 * [backup-simplify]: Simplify re into re 10.031 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 10.031 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 10.031 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 10.031 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.031 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.031 * [taylor]: Taking taylor expansion of im in im 10.031 * [backup-simplify]: Simplify 0 into 0 10.031 * [backup-simplify]: Simplify 1 into 1 10.032 * [backup-simplify]: Simplify (* 1 1) into 1 10.032 * [backup-simplify]: Simplify (/ 1 1) into 1 10.032 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.032 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.032 * [taylor]: Taking taylor expansion of re in im 10.032 * [backup-simplify]: Simplify re into re 10.032 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.032 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.032 * [backup-simplify]: Simplify (+ 1 0) into 1 10.033 * [backup-simplify]: Simplify (sqrt 1) into 1 10.033 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.034 * [backup-simplify]: Simplify (+ 0 0) into 0 10.034 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.034 * [backup-simplify]: Simplify (+ 0 1) into 1 10.035 * [backup-simplify]: Simplify (/ 1 1) into 1 10.035 * [backup-simplify]: Simplify (sqrt 0) into 0 10.036 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.036 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 10.036 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 10.036 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 10.036 * [taylor]: Taking taylor expansion of 2.0 in im 10.036 * [backup-simplify]: Simplify 2.0 into 2.0 10.036 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.036 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.036 * [taylor]: Taking taylor expansion of im in im 10.036 * [backup-simplify]: Simplify 0 into 0 10.036 * [backup-simplify]: Simplify 1 into 1 10.037 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 10.037 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 10.037 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 10.037 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 10.037 * [taylor]: Taking taylor expansion of (/ 1 re) in im 10.037 * [taylor]: Taking taylor expansion of re in im 10.037 * [backup-simplify]: Simplify re into re 10.037 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 10.037 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 10.037 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 10.037 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.037 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.037 * [taylor]: Taking taylor expansion of im in im 10.037 * [backup-simplify]: Simplify 0 into 0 10.037 * [backup-simplify]: Simplify 1 into 1 10.037 * [backup-simplify]: Simplify (* 1 1) into 1 10.038 * [backup-simplify]: Simplify (/ 1 1) into 1 10.038 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.038 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.038 * [taylor]: Taking taylor expansion of re in im 10.038 * [backup-simplify]: Simplify re into re 10.038 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.038 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.038 * [backup-simplify]: Simplify (+ 1 0) into 1 10.038 * [backup-simplify]: Simplify (sqrt 1) into 1 10.039 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.039 * [backup-simplify]: Simplify (+ 0 0) into 0 10.040 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.040 * [backup-simplify]: Simplify (+ 0 1) into 1 10.040 * [backup-simplify]: Simplify (/ 1 1) into 1 10.041 * [backup-simplify]: Simplify (sqrt 0) into 0 10.041 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.042 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 10.042 * [taylor]: Taking taylor expansion of 0 in re 10.042 * [backup-simplify]: Simplify 0 into 0 10.042 * [backup-simplify]: Simplify 0 into 0 10.042 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 10.044 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 10.044 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 10.044 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 10.044 * [taylor]: Taking taylor expansion of +nan.0 in re 10.044 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.044 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.044 * [taylor]: Taking taylor expansion of 2.0 in re 10.044 * [backup-simplify]: Simplify 2.0 into 2.0 10.044 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.044 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.049 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 10.050 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 10.051 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 10.051 * [backup-simplify]: Simplify 0 into 0 10.051 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 10.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 10.052 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0))) 10.053 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 10.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.055 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 10.055 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 10.055 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 10.055 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 10.055 * [taylor]: Taking taylor expansion of +nan.0 in re 10.055 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.055 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.055 * [taylor]: Taking taylor expansion of 2.0 in re 10.055 * [backup-simplify]: Simplify 2.0 into 2.0 10.055 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.056 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.056 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 10.056 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 10.056 * [taylor]: Taking taylor expansion of +nan.0 in re 10.056 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.056 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 10.056 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.056 * [taylor]: Taking taylor expansion of 2.0 in re 10.056 * [backup-simplify]: Simplify 2.0 into 2.0 10.056 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.056 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.056 * [taylor]: Taking taylor expansion of re in re 10.057 * [backup-simplify]: Simplify 0 into 0 10.057 * [backup-simplify]: Simplify 1 into 1 10.057 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 10.058 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 10.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 10.059 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 10.059 * [backup-simplify]: Simplify (- 0) into 0 10.060 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 10.062 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 10.063 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 10.064 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 10.065 * [backup-simplify]: Simplify (- 0) into 0 10.065 * [backup-simplify]: Simplify 0 into 0 10.065 * [backup-simplify]: Simplify 0 into 0 10.065 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 10.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.067 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 10.068 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 10.068 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 10.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 10.070 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 re) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 10.071 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 10.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.073 * [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))))))) 10.073 * [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 10.073 * [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 10.073 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 10.073 * [taylor]: Taking taylor expansion of +nan.0 in re 10.073 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.073 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.073 * [taylor]: Taking taylor expansion of 2.0 in re 10.073 * [backup-simplify]: Simplify 2.0 into 2.0 10.073 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.074 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.074 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 10.074 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 10.074 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 10.074 * [taylor]: Taking taylor expansion of +nan.0 in re 10.074 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.074 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 10.074 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.074 * [taylor]: Taking taylor expansion of 2.0 in re 10.074 * [backup-simplify]: Simplify 2.0 into 2.0 10.074 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.075 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.075 * [taylor]: Taking taylor expansion of re in re 10.075 * [backup-simplify]: Simplify 0 into 0 10.075 * [backup-simplify]: Simplify 1 into 1 10.075 * [backup-simplify]: Simplify (* 1 1) into 1 10.076 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 10.076 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 10.076 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 10.076 * [taylor]: Taking taylor expansion of +nan.0 in re 10.076 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.076 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 10.076 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.076 * [taylor]: Taking taylor expansion of 2.0 in re 10.076 * [backup-simplify]: Simplify 2.0 into 2.0 10.076 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.077 * [taylor]: Taking taylor expansion of re in re 10.077 * [backup-simplify]: Simplify 0 into 0 10.077 * [backup-simplify]: Simplify 1 into 1 10.077 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 10.078 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 10.078 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 10.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 10.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.081 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 10.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 10.082 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 10.082 * [backup-simplify]: Simplify (- 0) into 0 10.083 * [backup-simplify]: Simplify (+ 0 0) into 0 10.083 * [backup-simplify]: Simplify (- 0) into 0 10.084 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 10.085 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 10.086 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 10.089 * [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))))))) 10.090 * [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))))) 10.090 * [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 10.090 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in re 10.090 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 10.090 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.090 * [taylor]: Taking taylor expansion of 2.0 in re 10.090 * [backup-simplify]: Simplify 2.0 into 2.0 10.090 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.091 * [taylor]: Taking taylor expansion of im in re 10.091 * [backup-simplify]: Simplify im into im 10.091 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 10.091 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 10.091 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 10.091 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 10.091 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 10.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 10.091 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.091 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.091 * [taylor]: Taking taylor expansion of im in re 10.091 * [backup-simplify]: Simplify im into im 10.091 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.091 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.091 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.091 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.091 * [taylor]: Taking taylor expansion of re in re 10.091 * [backup-simplify]: Simplify 0 into 0 10.091 * [backup-simplify]: Simplify 1 into 1 10.092 * [backup-simplify]: Simplify (* 1 1) into 1 10.092 * [backup-simplify]: Simplify (/ 1 1) into 1 10.092 * [backup-simplify]: Simplify (+ 0 1) into 1 10.092 * [backup-simplify]: Simplify (sqrt 1) into 1 10.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.093 * [backup-simplify]: Simplify (+ 0 0) into 0 10.094 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.094 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.094 * [taylor]: Taking taylor expansion of re in re 10.094 * [backup-simplify]: Simplify 0 into 0 10.094 * [backup-simplify]: Simplify 1 into 1 10.094 * [backup-simplify]: Simplify (/ 1 1) into 1 10.094 * [backup-simplify]: Simplify (- 1) into -1 10.094 * [backup-simplify]: Simplify (+ 1 -1) into 0 10.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.095 * [backup-simplify]: Simplify (- 0) into 0 10.095 * [backup-simplify]: Simplify (+ 0 0) into 0 10.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.096 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 10.097 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.098 * [backup-simplify]: Simplify (- 0) into 0 10.098 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 10.098 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2)) 10.098 * [backup-simplify]: Simplify (sqrt 0) into 0 10.099 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2)) 10.099 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 10.099 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 10.099 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 10.099 * [taylor]: Taking taylor expansion of 2.0 in im 10.099 * [backup-simplify]: Simplify 2.0 into 2.0 10.099 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.100 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.100 * [taylor]: Taking taylor expansion of im in im 10.100 * [backup-simplify]: Simplify 0 into 0 10.100 * [backup-simplify]: Simplify 1 into 1 10.100 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 10.100 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 10.100 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 10.100 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 10.100 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 10.100 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 10.100 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.100 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.100 * [taylor]: Taking taylor expansion of im in im 10.100 * [backup-simplify]: Simplify 0 into 0 10.100 * [backup-simplify]: Simplify 1 into 1 10.101 * [backup-simplify]: Simplify (* 1 1) into 1 10.101 * [backup-simplify]: Simplify (/ 1 1) into 1 10.101 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.101 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.101 * [taylor]: Taking taylor expansion of re in im 10.101 * [backup-simplify]: Simplify re into re 10.101 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.101 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.102 * [backup-simplify]: Simplify (+ 1 0) into 1 10.102 * [backup-simplify]: Simplify (sqrt 1) into 1 10.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.103 * [backup-simplify]: Simplify (+ 0 0) into 0 10.103 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.103 * [taylor]: Taking taylor expansion of (/ 1 re) in im 10.103 * [taylor]: Taking taylor expansion of re in im 10.103 * [backup-simplify]: Simplify re into re 10.103 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 10.104 * [backup-simplify]: Simplify (+ 1 0) into 1 10.104 * [backup-simplify]: Simplify (/ 1 1) into 1 10.104 * [backup-simplify]: Simplify (sqrt 0) into 0 10.105 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.105 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 10.105 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 10.105 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 10.105 * [taylor]: Taking taylor expansion of 2.0 in im 10.105 * [backup-simplify]: Simplify 2.0 into 2.0 10.105 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.106 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.106 * [taylor]: Taking taylor expansion of im in im 10.106 * [backup-simplify]: Simplify 0 into 0 10.106 * [backup-simplify]: Simplify 1 into 1 10.107 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 10.107 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 10.107 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 10.107 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 10.107 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 10.107 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 10.107 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.107 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.107 * [taylor]: Taking taylor expansion of im in im 10.107 * [backup-simplify]: Simplify 0 into 0 10.107 * [backup-simplify]: Simplify 1 into 1 10.107 * [backup-simplify]: Simplify (* 1 1) into 1 10.107 * [backup-simplify]: Simplify (/ 1 1) into 1 10.107 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.107 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.107 * [taylor]: Taking taylor expansion of re in im 10.107 * [backup-simplify]: Simplify re into re 10.107 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.108 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.108 * [backup-simplify]: Simplify (+ 1 0) into 1 10.108 * [backup-simplify]: Simplify (sqrt 1) into 1 10.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.109 * [backup-simplify]: Simplify (+ 0 0) into 0 10.109 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.109 * [taylor]: Taking taylor expansion of (/ 1 re) in im 10.109 * [taylor]: Taking taylor expansion of re in im 10.109 * [backup-simplify]: Simplify re into re 10.110 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 10.110 * [backup-simplify]: Simplify (+ 1 0) into 1 10.110 * [backup-simplify]: Simplify (/ 1 1) into 1 10.110 * [backup-simplify]: Simplify (sqrt 0) into 0 10.111 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.111 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 10.111 * [taylor]: Taking taylor expansion of 0 in re 10.111 * [backup-simplify]: Simplify 0 into 0 10.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 10.114 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 10.114 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 10.114 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 10.114 * [taylor]: Taking taylor expansion of +nan.0 in re 10.114 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.114 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.114 * [taylor]: Taking taylor expansion of 2.0 in re 10.114 * [backup-simplify]: Simplify 2.0 into 2.0 10.114 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.115 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.115 * [backup-simplify]: Simplify 0 into 0 10.115 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 10.115 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 10.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 10.117 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0)) 10.118 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 10.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.120 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 10.120 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 10.120 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 10.120 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 10.120 * [taylor]: Taking taylor expansion of +nan.0 in re 10.120 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.120 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.120 * [taylor]: Taking taylor expansion of 2.0 in re 10.120 * [backup-simplify]: Simplify 2.0 into 2.0 10.120 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.121 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.121 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 10.121 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 10.121 * [taylor]: Taking taylor expansion of +nan.0 in re 10.121 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.121 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 10.121 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.121 * [taylor]: Taking taylor expansion of 2.0 in re 10.121 * [backup-simplify]: Simplify 2.0 into 2.0 10.122 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.122 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.122 * [taylor]: Taking taylor expansion of re in re 10.122 * [backup-simplify]: Simplify 0 into 0 10.123 * [backup-simplify]: Simplify 1 into 1 10.123 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 10.124 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 10.126 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 10.128 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 10.130 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 10.132 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 10.133 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 10.134 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 10.135 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 10.136 * [backup-simplify]: Simplify 0 into 0 10.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.137 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 10.139 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 10.139 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 10.139 * [backup-simplify]: Simplify (- 0) into 0 10.139 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 10.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 10.141 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 re) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 10.141 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 10.142 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.143 * [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))))))) 10.143 * [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 10.143 * [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 10.143 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 10.144 * [taylor]: Taking taylor expansion of +nan.0 in re 10.144 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.144 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.144 * [taylor]: Taking taylor expansion of 2.0 in re 10.144 * [backup-simplify]: Simplify 2.0 into 2.0 10.144 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.144 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.144 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 10.144 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 10.144 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 10.144 * [taylor]: Taking taylor expansion of +nan.0 in re 10.144 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.144 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 10.144 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.144 * [taylor]: Taking taylor expansion of 2.0 in re 10.144 * [backup-simplify]: Simplify 2.0 into 2.0 10.145 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.145 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.145 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.145 * [taylor]: Taking taylor expansion of re in re 10.145 * [backup-simplify]: Simplify 0 into 0 10.145 * [backup-simplify]: Simplify 1 into 1 10.146 * [backup-simplify]: Simplify (* 1 1) into 1 10.146 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 10.146 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 10.146 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 10.146 * [taylor]: Taking taylor expansion of +nan.0 in re 10.146 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.146 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 10.146 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.146 * [taylor]: Taking taylor expansion of 2.0 in re 10.147 * [backup-simplify]: Simplify 2.0 into 2.0 10.147 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.147 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.147 * [taylor]: Taking taylor expansion of re in re 10.147 * [backup-simplify]: Simplify 0 into 0 10.147 * [backup-simplify]: Simplify 1 into 1 10.148 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 10.148 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.149 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 10.149 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 10.150 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 10.154 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 10.156 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 10.157 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 10.158 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 10.160 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 10.161 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 10.164 * [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)))))))) 10.164 * * * [progress]: simplifying candidates 10.166 * [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 (+ (* 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) (- (log (sqrt (* 2.0 (* im im)))) (log (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)))) (/ (* (* (sqrt (* 2.0 (* im im))) (sqrt (* 2.0 (* im im)))) (sqrt (* 2.0 (* im im)))) (* (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (/ (sqrt (* 2.0 (* 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)))) (* (* (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (* 2.0 (* im im)) (+ (sqrt (+ (* re re) (* im im))) re)) (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)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (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))))) (sqrt 1)) (/ (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 1)) (/ (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))))) 1) (/ (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))))) (/ (sqrt (* im im)) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt 2.0) (sqrt (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (sqrt (* im im)) (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt 2.0) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* im im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt 2.0) (sqrt 1)) (/ (sqrt (* im im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt 2.0) (sqrt 1)) (/ (sqrt (* im im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt 2.0) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* im im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt 2.0) 1) (/ (sqrt (* im 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)))) (sqrt (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (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 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)))))))) 10.169 * * [simplify]: Extracting # 0 : cost 0 10.169 * * [simplify]: Extracting # 1 : cost 0 10.169 * * [simplify]: Extracting # 2 : cost 0 10.169 * * [simplify]: Extracting # 3 : cost 0 10.169 * * [simplify]: Extracting # 4 : cost 0 10.170 * * [simplify]: Extracting # 5 : cost 0 10.170 * * [simplify]: Extracting # 6 : cost 0 10.170 * * [simplify]: Extracting # 7 : cost 0 10.170 * * [simplify]: Extracting # 8 : cost 0 10.171 * * [simplify]: Extracting # 9 : cost 0 10.171 * * [simplify]: Extracting # 10 : cost 0 10.171 * * [simplify]: Extracting # 11 : cost 0 10.171 * * [simplify]: Extracting # 12 : cost 0 10.171 * * [simplify]: Extracting # 13 : cost 0 10.172 * * [simplify]: iteration 0 : 181 enodes (cost 2231 ) 10.243 * * [simplify]: Extracting # 0 : cost 0 10.243 * * [simplify]: Extracting # 1 : cost 0 10.244 * * [simplify]: Extracting # 2 : cost 0 10.245 * * [simplify]: Extracting # 3 : cost 0 10.246 * * [simplify]: Extracting # 4 : cost 0 10.247 * * [simplify]: iteration 1 : 387 enodes (cost 1998 ) 10.405 * * [simplify]: Extracting # 0 : cost 0 10.408 * * [simplify]: Extracting # 1 : cost 0 10.411 * * [simplify]: Extracting # 2 : cost 0 10.413 * * [simplify]: Extracting # 3 : cost 0 10.416 * * [simplify]: Extracting # 4 : cost 0 10.418 * * [simplify]: iteration 2 : 1067 enodes (cost 1907 ) 11.346 * * [simplify]: Extracting # 0 : cost 0 11.350 * * [simplify]: Extracting # 1 : cost 0 11.354 * * [simplify]: Extracting # 2 : cost 0 11.361 * * [simplify]: Extracting # 3 : cost 0 11.364 * * [simplify]: Extracting # 4 : cost 0 11.368 * * [simplify]: iteration 3 : 3181 enodes (cost 1877 ) 13.050 * * [simplify]: Extracting # 0 : cost 0 13.056 * * [simplify]: Extracting # 1 : cost 0 13.068 * * [simplify]: Extracting # 2 : cost 0 13.073 * * [simplify]: Extracting # 3 : cost 0 13.083 * * [simplify]: Extracting # 4 : cost 0 13.093 * * [simplify]: iteration done: 5000 enodes (cost 1871 ) 13.094 * [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))))) 13.096 * * * [progress]: adding candidates to table 13.564 * * [progress]: iteration 4 / 4 13.564 * * * [progress]: picking best candidate 13.594 * * * * [pick]: Picked # 13.594 * * * [progress]: localizing error 13.609 * * * [progress]: generating rewritten candidates 13.609 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1 1) 13.617 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 1) 13.673 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 13.753 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 13.841 * * * [progress]: generating series expansions 13.841 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1 1) 13.841 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 13.841 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 13.841 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 13.841 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 13.841 * [taylor]: Taking taylor expansion of (pow re 2) in im 13.841 * [taylor]: Taking taylor expansion of re in im 13.841 * [backup-simplify]: Simplify re into re 13.841 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.842 * [taylor]: Taking taylor expansion of im in im 13.842 * [backup-simplify]: Simplify 0 into 0 13.842 * [backup-simplify]: Simplify 1 into 1 13.842 * [backup-simplify]: Simplify (* re re) into (pow re 2) 13.842 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 13.842 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 13.842 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 13.842 * [backup-simplify]: Simplify (+ 0 0) into 0 13.842 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 13.843 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 13.843 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 13.843 * [taylor]: Taking taylor expansion of (pow re 2) in re 13.843 * [taylor]: Taking taylor expansion of re in re 13.843 * [backup-simplify]: Simplify 0 into 0 13.843 * [backup-simplify]: Simplify 1 into 1 13.843 * [taylor]: Taking taylor expansion of (pow im 2) in re 13.843 * [taylor]: Taking taylor expansion of im in re 13.843 * [backup-simplify]: Simplify im into im 13.843 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.843 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 13.843 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 13.843 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 13.843 * [backup-simplify]: Simplify (+ 0 0) into 0 13.843 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 13.843 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 13.843 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 13.843 * [taylor]: Taking taylor expansion of (pow re 2) in re 13.843 * [taylor]: Taking taylor expansion of re in re 13.843 * [backup-simplify]: Simplify 0 into 0 13.843 * [backup-simplify]: Simplify 1 into 1 13.843 * [taylor]: Taking taylor expansion of (pow im 2) in re 13.843 * [taylor]: Taking taylor expansion of im in re 13.843 * [backup-simplify]: Simplify im into im 13.844 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.844 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 13.844 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 13.844 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 13.844 * [backup-simplify]: Simplify (+ 0 0) into 0 13.844 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 13.844 * [taylor]: Taking taylor expansion of im in im 13.844 * [backup-simplify]: Simplify 0 into 0 13.844 * [backup-simplify]: Simplify 1 into 1 13.844 * [backup-simplify]: Simplify 0 into 0 13.844 * [taylor]: Taking taylor expansion of 0 in im 13.844 * [backup-simplify]: Simplify 0 into 0 13.844 * [backup-simplify]: Simplify 0 into 0 13.844 * [backup-simplify]: Simplify 1 into 1 13.845 * [backup-simplify]: Simplify (* 1 1) into 1 13.845 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 13.845 * [backup-simplify]: Simplify (+ 1 0) into 1 13.846 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 13.846 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 13.846 * [taylor]: Taking taylor expansion of 1/2 in im 13.846 * [backup-simplify]: Simplify 1/2 into 1/2 13.846 * [taylor]: Taking taylor expansion of im in im 13.846 * [backup-simplify]: Simplify 0 into 0 13.846 * [backup-simplify]: Simplify 1 into 1 13.846 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 13.847 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 13.847 * [backup-simplify]: Simplify 0 into 0 13.847 * [backup-simplify]: Simplify 0 into 0 13.847 * [backup-simplify]: Simplify 0 into 0 13.847 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.848 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 13.848 * [backup-simplify]: Simplify (+ 0 0) into 0 13.848 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 13.848 * [taylor]: Taking taylor expansion of 0 in im 13.848 * [backup-simplify]: Simplify 0 into 0 13.848 * [backup-simplify]: Simplify 0 into 0 13.849 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.849 * [backup-simplify]: Simplify 0 into 0 13.849 * [backup-simplify]: Simplify 0 into 0 13.849 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 13.849 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 13.849 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 13.849 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 13.849 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 13.849 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 13.849 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.849 * [taylor]: Taking taylor expansion of im in im 13.849 * [backup-simplify]: Simplify 0 into 0 13.849 * [backup-simplify]: Simplify 1 into 1 13.850 * [backup-simplify]: Simplify (* 1 1) into 1 13.854 * [backup-simplify]: Simplify (/ 1 1) into 1 13.854 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 13.854 * [taylor]: Taking taylor expansion of (pow re 2) in im 13.855 * [taylor]: Taking taylor expansion of re in im 13.855 * [backup-simplify]: Simplify re into re 13.855 * [backup-simplify]: Simplify (* re re) into (pow re 2) 13.855 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 13.856 * [backup-simplify]: Simplify (+ 1 0) into 1 13.856 * [backup-simplify]: Simplify (sqrt 1) into 1 13.857 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.858 * [backup-simplify]: Simplify (+ 0 0) into 0 13.858 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.858 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 13.858 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 13.858 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 13.859 * [taylor]: Taking taylor expansion of (pow im 2) in re 13.859 * [taylor]: Taking taylor expansion of im in re 13.859 * [backup-simplify]: Simplify im into im 13.859 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.859 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 13.859 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 13.859 * [taylor]: Taking taylor expansion of (pow re 2) in re 13.859 * [taylor]: Taking taylor expansion of re in re 13.859 * [backup-simplify]: Simplify 0 into 0 13.859 * [backup-simplify]: Simplify 1 into 1 13.859 * [backup-simplify]: Simplify (* 1 1) into 1 13.860 * [backup-simplify]: Simplify (/ 1 1) into 1 13.860 * [backup-simplify]: Simplify (+ 0 1) into 1 13.861 * [backup-simplify]: Simplify (sqrt 1) into 1 13.861 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.862 * [backup-simplify]: Simplify (+ 0 0) into 0 13.863 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.863 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 13.863 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 13.863 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 13.863 * [taylor]: Taking taylor expansion of (pow im 2) in re 13.863 * [taylor]: Taking taylor expansion of im in re 13.863 * [backup-simplify]: Simplify im into im 13.863 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.863 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 13.863 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 13.863 * [taylor]: Taking taylor expansion of (pow re 2) in re 13.863 * [taylor]: Taking taylor expansion of re in re 13.863 * [backup-simplify]: Simplify 0 into 0 13.864 * [backup-simplify]: Simplify 1 into 1 13.864 * [backup-simplify]: Simplify (* 1 1) into 1 13.864 * [backup-simplify]: Simplify (/ 1 1) into 1 13.865 * [backup-simplify]: Simplify (+ 0 1) into 1 13.865 * [backup-simplify]: Simplify (sqrt 1) into 1 13.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.867 * [backup-simplify]: Simplify (+ 0 0) into 0 13.867 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.868 * [taylor]: Taking taylor expansion of 1 in im 13.868 * [backup-simplify]: Simplify 1 into 1 13.868 * [taylor]: Taking taylor expansion of 0 in im 13.868 * [backup-simplify]: Simplify 0 into 0 13.868 * [backup-simplify]: Simplify 1 into 1 13.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.870 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 13.871 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 13.871 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 13.871 * [taylor]: Taking taylor expansion of 1/2 in im 13.871 * [backup-simplify]: Simplify 1/2 into 1/2 13.871 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.871 * [taylor]: Taking taylor expansion of im in im 13.871 * [backup-simplify]: Simplify 0 into 0 13.871 * [backup-simplify]: Simplify 1 into 1 13.872 * [backup-simplify]: Simplify (* 1 1) into 1 13.872 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 13.873 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.873 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 13.873 * [backup-simplify]: Simplify 0 into 0 13.873 * [backup-simplify]: Simplify 0 into 0 13.874 * [backup-simplify]: Simplify 0 into 0 13.874 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 13.874 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 13.875 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.876 * [backup-simplify]: Simplify (+ 0 0) into 0 13.877 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 13.877 * [taylor]: Taking taylor expansion of 0 in im 13.877 * [backup-simplify]: Simplify 0 into 0 13.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.879 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.879 * [backup-simplify]: Simplify 0 into 0 13.879 * [backup-simplify]: Simplify 0 into 0 13.879 * [backup-simplify]: Simplify 0 into 0 13.879 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 13.879 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 13.879 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 13.879 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 13.879 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 13.880 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 13.880 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.880 * [taylor]: Taking taylor expansion of im in im 13.880 * [backup-simplify]: Simplify 0 into 0 13.880 * [backup-simplify]: Simplify 1 into 1 13.880 * [backup-simplify]: Simplify (* 1 1) into 1 13.880 * [backup-simplify]: Simplify (/ 1 1) into 1 13.880 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 13.880 * [taylor]: Taking taylor expansion of (pow re 2) in im 13.880 * [taylor]: Taking taylor expansion of re in im 13.881 * [backup-simplify]: Simplify re into re 13.881 * [backup-simplify]: Simplify (* re re) into (pow re 2) 13.881 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 13.881 * [backup-simplify]: Simplify (+ 1 0) into 1 13.882 * [backup-simplify]: Simplify (sqrt 1) into 1 13.882 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.883 * [backup-simplify]: Simplify (+ 0 0) into 0 13.884 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.884 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 13.884 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 13.884 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 13.884 * [taylor]: Taking taylor expansion of (pow im 2) in re 13.884 * [taylor]: Taking taylor expansion of im in re 13.884 * [backup-simplify]: Simplify im into im 13.884 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.884 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 13.884 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 13.885 * [taylor]: Taking taylor expansion of (pow re 2) in re 13.885 * [taylor]: Taking taylor expansion of re in re 13.885 * [backup-simplify]: Simplify 0 into 0 13.885 * [backup-simplify]: Simplify 1 into 1 13.885 * [backup-simplify]: Simplify (* 1 1) into 1 13.885 * [backup-simplify]: Simplify (/ 1 1) into 1 13.886 * [backup-simplify]: Simplify (+ 0 1) into 1 13.886 * [backup-simplify]: Simplify (sqrt 1) into 1 13.887 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.888 * [backup-simplify]: Simplify (+ 0 0) into 0 13.889 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.889 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 13.889 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 13.889 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 13.889 * [taylor]: Taking taylor expansion of (pow im 2) in re 13.889 * [taylor]: Taking taylor expansion of im in re 13.889 * [backup-simplify]: Simplify im into im 13.889 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.889 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 13.890 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 13.890 * [taylor]: Taking taylor expansion of (pow re 2) in re 13.890 * [taylor]: Taking taylor expansion of re in re 13.890 * [backup-simplify]: Simplify 0 into 0 13.890 * [backup-simplify]: Simplify 1 into 1 13.890 * [backup-simplify]: Simplify (* 1 1) into 1 13.890 * [backup-simplify]: Simplify (/ 1 1) into 1 13.891 * [backup-simplify]: Simplify (+ 0 1) into 1 13.891 * [backup-simplify]: Simplify (sqrt 1) into 1 13.892 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.893 * [backup-simplify]: Simplify (+ 0 0) into 0 13.893 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.894 * [taylor]: Taking taylor expansion of 1 in im 13.894 * [backup-simplify]: Simplify 1 into 1 13.894 * [taylor]: Taking taylor expansion of 0 in im 13.894 * [backup-simplify]: Simplify 0 into 0 13.894 * [backup-simplify]: Simplify 1 into 1 13.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.896 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 13.897 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 13.897 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 13.897 * [taylor]: Taking taylor expansion of 1/2 in im 13.897 * [backup-simplify]: Simplify 1/2 into 1/2 13.897 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.897 * [taylor]: Taking taylor expansion of im in im 13.897 * [backup-simplify]: Simplify 0 into 0 13.897 * [backup-simplify]: Simplify 1 into 1 13.898 * [backup-simplify]: Simplify (* 1 1) into 1 13.898 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 13.899 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.899 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 13.899 * [backup-simplify]: Simplify 0 into 0 13.900 * [backup-simplify]: Simplify 0 into 0 13.900 * [backup-simplify]: Simplify 0 into 0 13.900 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 13.900 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 13.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.902 * [backup-simplify]: Simplify (+ 0 0) into 0 13.903 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 13.903 * [taylor]: Taking taylor expansion of 0 in im 13.903 * [backup-simplify]: Simplify 0 into 0 13.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.905 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.905 * [backup-simplify]: Simplify 0 into 0 13.905 * [backup-simplify]: Simplify 0 into 0 13.905 * [backup-simplify]: Simplify 0 into 0 13.905 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 13.905 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 1) 13.906 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2)))) 13.906 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 13.906 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 13.906 * [taylor]: Taking taylor expansion of re in im 13.906 * [backup-simplify]: Simplify re into re 13.906 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 13.906 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 13.906 * [taylor]: Taking taylor expansion of (pow re 2) in im 13.906 * [taylor]: Taking taylor expansion of re in im 13.906 * [backup-simplify]: Simplify re into re 13.906 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.906 * [taylor]: Taking taylor expansion of im in im 13.906 * [backup-simplify]: Simplify 0 into 0 13.906 * [backup-simplify]: Simplify 1 into 1 13.906 * [backup-simplify]: Simplify (* re re) into (pow re 2) 13.906 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 13.906 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 13.906 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 13.907 * [backup-simplify]: Simplify (+ 0 0) into 0 13.907 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 13.907 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 13.907 * [taylor]: Taking taylor expansion of re in re 13.907 * [backup-simplify]: Simplify 0 into 0 13.907 * [backup-simplify]: Simplify 1 into 1 13.907 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 13.907 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 13.907 * [taylor]: Taking taylor expansion of (pow re 2) in re 13.907 * [taylor]: Taking taylor expansion of re in re 13.907 * [backup-simplify]: Simplify 0 into 0 13.907 * [backup-simplify]: Simplify 1 into 1 13.907 * [taylor]: Taking taylor expansion of (pow im 2) in re 13.907 * [taylor]: Taking taylor expansion of im in re 13.907 * [backup-simplify]: Simplify im into im 13.907 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.908 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 13.908 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 13.908 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 13.908 * [backup-simplify]: Simplify (+ 0 0) into 0 13.908 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 13.908 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 13.909 * [taylor]: Taking taylor expansion of re in re 13.909 * [backup-simplify]: Simplify 0 into 0 13.909 * [backup-simplify]: Simplify 1 into 1 13.909 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 13.909 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 13.909 * [taylor]: Taking taylor expansion of (pow re 2) in re 13.909 * [taylor]: Taking taylor expansion of re in re 13.909 * [backup-simplify]: Simplify 0 into 0 13.909 * [backup-simplify]: Simplify 1 into 1 13.909 * [taylor]: Taking taylor expansion of (pow im 2) in re 13.909 * [taylor]: Taking taylor expansion of im in re 13.909 * [backup-simplify]: Simplify im into im 13.909 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.909 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 13.909 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 13.909 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 13.910 * [backup-simplify]: Simplify (+ 0 0) into 0 13.910 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 13.910 * [backup-simplify]: Simplify (+ 0 im) into im 13.910 * [taylor]: Taking taylor expansion of im in im 13.910 * [backup-simplify]: Simplify 0 into 0 13.910 * [backup-simplify]: Simplify 1 into 1 13.910 * [backup-simplify]: Simplify 0 into 0 13.911 * [backup-simplify]: Simplify (+ 1 0) into 1 13.911 * [taylor]: Taking taylor expansion of 1 in im 13.911 * [backup-simplify]: Simplify 1 into 1 13.911 * [backup-simplify]: Simplify 1 into 1 13.911 * [backup-simplify]: Simplify 1 into 1 13.911 * [backup-simplify]: Simplify (* 1 1) into 1 13.912 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 13.912 * [backup-simplify]: Simplify (+ 1 0) into 1 13.913 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 13.913 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 13.913 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 13.913 * [taylor]: Taking taylor expansion of 1/2 in im 13.913 * [backup-simplify]: Simplify 1/2 into 1/2 13.913 * [taylor]: Taking taylor expansion of (/ 1 im) in im 13.913 * [taylor]: Taking taylor expansion of im in im 13.913 * [backup-simplify]: Simplify 0 into 0 13.913 * [backup-simplify]: Simplify 1 into 1 13.914 * [backup-simplify]: Simplify (/ 1 1) into 1 13.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.915 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.915 * [backup-simplify]: Simplify 0 into 0 13.915 * [backup-simplify]: Simplify 0 into 0 13.915 * [backup-simplify]: Simplify 0 into 0 13.916 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.917 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 13.917 * [backup-simplify]: Simplify (+ 0 0) into 0 13.917 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 13.918 * [backup-simplify]: Simplify (+ 0 0) into 0 13.918 * [taylor]: Taking taylor expansion of 0 in im 13.918 * [backup-simplify]: Simplify 0 into 0 13.918 * [backup-simplify]: Simplify 0 into 0 13.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.920 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 13.920 * [backup-simplify]: Simplify 0 into 0 13.920 * [backup-simplify]: Simplify 0 into 0 13.920 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 13.920 * [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))))) 13.920 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 13.920 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 13.920 * [taylor]: Taking taylor expansion of (/ 1 re) in im 13.920 * [taylor]: Taking taylor expansion of re in im 13.920 * [backup-simplify]: Simplify re into re 13.921 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 13.921 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 13.921 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 13.921 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 13.921 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.921 * [taylor]: Taking taylor expansion of im in im 13.921 * [backup-simplify]: Simplify 0 into 0 13.921 * [backup-simplify]: Simplify 1 into 1 13.921 * [backup-simplify]: Simplify (* 1 1) into 1 13.921 * [backup-simplify]: Simplify (/ 1 1) into 1 13.922 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 13.922 * [taylor]: Taking taylor expansion of (pow re 2) in im 13.922 * [taylor]: Taking taylor expansion of re in im 13.922 * [backup-simplify]: Simplify re into re 13.922 * [backup-simplify]: Simplify (* re re) into (pow re 2) 13.922 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 13.922 * [backup-simplify]: Simplify (+ 1 0) into 1 13.923 * [backup-simplify]: Simplify (sqrt 1) into 1 13.923 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.925 * [backup-simplify]: Simplify (+ 0 0) into 0 13.925 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.925 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 13.925 * [taylor]: Taking taylor expansion of (/ 1 re) in re 13.925 * [taylor]: Taking taylor expansion of re in re 13.925 * [backup-simplify]: Simplify 0 into 0 13.925 * [backup-simplify]: Simplify 1 into 1 13.926 * [backup-simplify]: Simplify (/ 1 1) into 1 13.926 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 13.926 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 13.926 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 13.926 * [taylor]: Taking taylor expansion of (pow im 2) in re 13.926 * [taylor]: Taking taylor expansion of im in re 13.926 * [backup-simplify]: Simplify im into im 13.926 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.926 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 13.926 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 13.926 * [taylor]: Taking taylor expansion of (pow re 2) in re 13.926 * [taylor]: Taking taylor expansion of re in re 13.926 * [backup-simplify]: Simplify 0 into 0 13.926 * [backup-simplify]: Simplify 1 into 1 13.927 * [backup-simplify]: Simplify (* 1 1) into 1 13.927 * [backup-simplify]: Simplify (/ 1 1) into 1 13.928 * [backup-simplify]: Simplify (+ 0 1) into 1 13.928 * [backup-simplify]: Simplify (sqrt 1) into 1 13.929 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.930 * [backup-simplify]: Simplify (+ 0 0) into 0 13.930 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.930 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 13.931 * [taylor]: Taking taylor expansion of (/ 1 re) in re 13.931 * [taylor]: Taking taylor expansion of re in re 13.931 * [backup-simplify]: Simplify 0 into 0 13.931 * [backup-simplify]: Simplify 1 into 1 13.931 * [backup-simplify]: Simplify (/ 1 1) into 1 13.931 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 13.931 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 13.931 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 13.931 * [taylor]: Taking taylor expansion of (pow im 2) in re 13.931 * [taylor]: Taking taylor expansion of im in re 13.931 * [backup-simplify]: Simplify im into im 13.931 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.931 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 13.932 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 13.932 * [taylor]: Taking taylor expansion of (pow re 2) in re 13.932 * [taylor]: Taking taylor expansion of re in re 13.932 * [backup-simplify]: Simplify 0 into 0 13.932 * [backup-simplify]: Simplify 1 into 1 13.932 * [backup-simplify]: Simplify (* 1 1) into 1 13.932 * [backup-simplify]: Simplify (/ 1 1) into 1 13.933 * [backup-simplify]: Simplify (+ 0 1) into 1 13.933 * [backup-simplify]: Simplify (sqrt 1) into 1 13.934 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.935 * [backup-simplify]: Simplify (+ 0 0) into 0 13.936 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.936 * [backup-simplify]: Simplify (+ 1 1) into 2 13.936 * [taylor]: Taking taylor expansion of 2 in im 13.936 * [backup-simplify]: Simplify 2 into 2 13.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.938 * [backup-simplify]: Simplify (+ 0 0) into 0 13.938 * [taylor]: Taking taylor expansion of 0 in im 13.938 * [backup-simplify]: Simplify 0 into 0 13.938 * [backup-simplify]: Simplify 2 into 2 13.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.940 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 13.942 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 13.942 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 13.942 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 13.942 * [taylor]: Taking taylor expansion of 1/2 in im 13.942 * [backup-simplify]: Simplify 1/2 into 1/2 13.942 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 13.942 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.942 * [taylor]: Taking taylor expansion of im in im 13.942 * [backup-simplify]: Simplify 0 into 0 13.942 * [backup-simplify]: Simplify 1 into 1 13.943 * [backup-simplify]: Simplify (* 1 1) into 1 13.943 * [backup-simplify]: Simplify (/ 1 1) into 1 13.944 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.945 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.945 * [backup-simplify]: Simplify 0 into 0 13.945 * [backup-simplify]: Simplify 0 into 0 13.945 * [backup-simplify]: Simplify 0 into 0 13.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.946 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 13.946 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 13.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.949 * [backup-simplify]: Simplify (+ 0 0) into 0 13.949 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 13.949 * [backup-simplify]: Simplify (+ 0 0) into 0 13.949 * [taylor]: Taking taylor expansion of 0 in im 13.949 * [backup-simplify]: Simplify 0 into 0 13.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.951 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 13.951 * [backup-simplify]: Simplify 0 into 0 13.951 * [backup-simplify]: Simplify 0 into 0 13.951 * [backup-simplify]: Simplify 0 into 0 13.951 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 13.951 * [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)) 13.951 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 13.951 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 13.951 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 13.951 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 13.951 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 13.951 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.951 * [taylor]: Taking taylor expansion of im in im 13.951 * [backup-simplify]: Simplify 0 into 0 13.952 * [backup-simplify]: Simplify 1 into 1 13.952 * [backup-simplify]: Simplify (* 1 1) into 1 13.952 * [backup-simplify]: Simplify (/ 1 1) into 1 13.952 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 13.952 * [taylor]: Taking taylor expansion of (pow re 2) in im 13.952 * [taylor]: Taking taylor expansion of re in im 13.952 * [backup-simplify]: Simplify re into re 13.952 * [backup-simplify]: Simplify (* re re) into (pow re 2) 13.952 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 13.952 * [backup-simplify]: Simplify (+ 1 0) into 1 13.953 * [backup-simplify]: Simplify (sqrt 1) into 1 13.953 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.954 * [backup-simplify]: Simplify (+ 0 0) into 0 13.954 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.954 * [taylor]: Taking taylor expansion of (/ 1 re) in im 13.954 * [taylor]: Taking taylor expansion of re in im 13.954 * [backup-simplify]: Simplify re into re 13.954 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 13.954 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 13.954 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 13.954 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 13.954 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 13.954 * [taylor]: Taking taylor expansion of (pow im 2) in re 13.954 * [taylor]: Taking taylor expansion of im in re 13.954 * [backup-simplify]: Simplify im into im 13.954 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.955 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 13.955 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 13.955 * [taylor]: Taking taylor expansion of (pow re 2) in re 13.955 * [taylor]: Taking taylor expansion of re in re 13.955 * [backup-simplify]: Simplify 0 into 0 13.955 * [backup-simplify]: Simplify 1 into 1 13.955 * [backup-simplify]: Simplify (* 1 1) into 1 13.955 * [backup-simplify]: Simplify (/ 1 1) into 1 13.955 * [backup-simplify]: Simplify (+ 0 1) into 1 13.956 * [backup-simplify]: Simplify (sqrt 1) into 1 13.956 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.957 * [backup-simplify]: Simplify (+ 0 0) into 0 13.957 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.957 * [taylor]: Taking taylor expansion of (/ 1 re) in re 13.957 * [taylor]: Taking taylor expansion of re in re 13.957 * [backup-simplify]: Simplify 0 into 0 13.957 * [backup-simplify]: Simplify 1 into 1 13.957 * [backup-simplify]: Simplify (/ 1 1) into 1 13.957 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 13.957 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 13.957 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 13.957 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 13.957 * [taylor]: Taking taylor expansion of (pow im 2) in re 13.957 * [taylor]: Taking taylor expansion of im in re 13.957 * [backup-simplify]: Simplify im into im 13.957 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.958 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 13.958 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 13.958 * [taylor]: Taking taylor expansion of (pow re 2) in re 13.958 * [taylor]: Taking taylor expansion of re in re 13.958 * [backup-simplify]: Simplify 0 into 0 13.958 * [backup-simplify]: Simplify 1 into 1 13.958 * [backup-simplify]: Simplify (* 1 1) into 1 13.958 * [backup-simplify]: Simplify (/ 1 1) into 1 13.958 * [backup-simplify]: Simplify (+ 0 1) into 1 13.959 * [backup-simplify]: Simplify (sqrt 1) into 1 13.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.960 * [backup-simplify]: Simplify (+ 0 0) into 0 13.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.960 * [taylor]: Taking taylor expansion of (/ 1 re) in re 13.960 * [taylor]: Taking taylor expansion of re in re 13.960 * [backup-simplify]: Simplify 0 into 0 13.960 * [backup-simplify]: Simplify 1 into 1 13.960 * [backup-simplify]: Simplify (/ 1 1) into 1 13.961 * [backup-simplify]: Simplify (- 1) into -1 13.961 * [backup-simplify]: Simplify (+ 1 -1) into 0 13.961 * [taylor]: Taking taylor expansion of 0 in im 13.961 * [backup-simplify]: Simplify 0 into 0 13.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.962 * [backup-simplify]: Simplify (- 0) into 0 13.962 * [backup-simplify]: Simplify (+ 0 0) into 0 13.962 * [taylor]: Taking taylor expansion of 0 in im 13.962 * [backup-simplify]: Simplify 0 into 0 13.962 * [backup-simplify]: Simplify 0 into 0 13.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.963 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 13.964 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 13.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.965 * [backup-simplify]: Simplify (- 0) into 0 13.965 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 13.965 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 13.965 * [taylor]: Taking taylor expansion of 1/2 in im 13.965 * [backup-simplify]: Simplify 1/2 into 1/2 13.965 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 13.965 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.965 * [taylor]: Taking taylor expansion of im in im 13.965 * [backup-simplify]: Simplify 0 into 0 13.965 * [backup-simplify]: Simplify 1 into 1 13.965 * [backup-simplify]: Simplify (* 1 1) into 1 13.965 * [backup-simplify]: Simplify (/ 1 1) into 1 13.966 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.967 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.967 * [backup-simplify]: Simplify 0 into 0 13.967 * [backup-simplify]: Simplify 0 into 0 13.967 * [backup-simplify]: Simplify 0 into 0 13.967 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 13.967 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 13.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.968 * [backup-simplify]: Simplify (+ 0 0) into 0 13.969 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 13.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.969 * [backup-simplify]: Simplify (- 0) into 0 13.970 * [backup-simplify]: Simplify (+ 0 0) into 0 13.970 * [taylor]: Taking taylor expansion of 0 in im 13.970 * [backup-simplify]: Simplify 0 into 0 13.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.971 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 13.971 * [backup-simplify]: Simplify 0 into 0 13.971 * [backup-simplify]: Simplify 0 into 0 13.971 * [backup-simplify]: Simplify 0 into 0 13.971 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 13.972 * [backup-simplify]: Simplify (/ (sqrt 2.0) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (fabs im))) into (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) 13.972 * [approximate]: Taking taylor expansion of (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in (re im) around 0 13.972 * [taylor]: Taking taylor expansion of (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 13.972 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in im 13.972 * [taylor]: Taking taylor expansion of (fabs im) in im 13.974 * [backup-simplify]: Simplify (fabs im) into (fabs im) 13.974 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 13.974 * [taylor]: Taking taylor expansion of 2.0 in im 13.974 * [backup-simplify]: Simplify 2.0 into 2.0 13.975 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 13.975 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 13.975 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 13.975 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 13.976 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 13.976 * [taylor]: Taking taylor expansion of re in im 13.976 * [backup-simplify]: Simplify re into re 13.976 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 13.976 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 13.976 * [taylor]: Taking taylor expansion of (pow re 2) in im 13.976 * [taylor]: Taking taylor expansion of re in im 13.976 * [backup-simplify]: Simplify re into re 13.976 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.976 * [taylor]: Taking taylor expansion of im in im 13.976 * [backup-simplify]: Simplify 0 into 0 13.976 * [backup-simplify]: Simplify 1 into 1 13.976 * [backup-simplify]: Simplify (* re re) into (pow re 2) 13.976 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 13.976 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 13.976 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 13.977 * [backup-simplify]: Simplify (+ 0 0) into 0 13.977 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 13.977 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 13.977 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 13.977 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 13.978 * [backup-simplify]: Simplify (+ 0 0) into 0 13.978 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 13.978 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 13.978 * [taylor]: Taking taylor expansion of (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in re 13.978 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in re 13.978 * [taylor]: Taking taylor expansion of (fabs im) in re 13.978 * [backup-simplify]: Simplify (fabs im) into (fabs im) 13.978 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 13.978 * [taylor]: Taking taylor expansion of 2.0 in re 13.978 * [backup-simplify]: Simplify 2.0 into 2.0 13.979 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 13.979 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 13.979 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 13.979 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 13.979 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 13.979 * [taylor]: Taking taylor expansion of re in re 13.979 * [backup-simplify]: Simplify 0 into 0 13.979 * [backup-simplify]: Simplify 1 into 1 13.979 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 13.980 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 13.980 * [taylor]: Taking taylor expansion of (pow re 2) in re 13.980 * [taylor]: Taking taylor expansion of re in re 13.980 * [backup-simplify]: Simplify 0 into 0 13.980 * [backup-simplify]: Simplify 1 into 1 13.980 * [taylor]: Taking taylor expansion of (pow im 2) in re 13.980 * [taylor]: Taking taylor expansion of im in re 13.980 * [backup-simplify]: Simplify im into im 13.980 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.980 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 13.980 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 13.980 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 13.981 * [backup-simplify]: Simplify (+ 0 0) into 0 13.981 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 13.981 * [backup-simplify]: Simplify (+ 0 im) into im 13.981 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 13.981 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im)) 13.981 * [backup-simplify]: Simplify (+ 1 0) into 1 13.982 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 1 im)))) into (- (/ 1 (pow im 2))) 13.982 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2))) (* 2 (sqrt (/ 1 im)))) into (* -1/2 (sqrt (/ 1 (pow im 3)))) 13.982 * [taylor]: Taking taylor expansion of (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in re 13.982 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in re 13.982 * [taylor]: Taking taylor expansion of (fabs im) in re 13.982 * [backup-simplify]: Simplify (fabs im) into (fabs im) 13.982 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 13.982 * [taylor]: Taking taylor expansion of 2.0 in re 13.982 * [backup-simplify]: Simplify 2.0 into 2.0 13.983 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 13.983 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 13.983 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 13.983 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 13.983 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 13.983 * [taylor]: Taking taylor expansion of re in re 13.984 * [backup-simplify]: Simplify 0 into 0 13.984 * [backup-simplify]: Simplify 1 into 1 13.984 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 13.984 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 13.984 * [taylor]: Taking taylor expansion of (pow re 2) in re 13.984 * [taylor]: Taking taylor expansion of re in re 13.984 * [backup-simplify]: Simplify 0 into 0 13.984 * [backup-simplify]: Simplify 1 into 1 13.984 * [taylor]: Taking taylor expansion of (pow im 2) in re 13.984 * [taylor]: Taking taylor expansion of im in re 13.984 * [backup-simplify]: Simplify im into im 13.984 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.984 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 13.984 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 13.984 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 13.985 * [backup-simplify]: Simplify (+ 0 0) into 0 13.985 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 13.985 * [backup-simplify]: Simplify (+ 0 im) into im 13.985 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 13.985 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im)) 13.986 * [backup-simplify]: Simplify (+ 1 0) into 1 13.986 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 1 im)))) into (- (/ 1 (pow im 2))) 13.986 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2))) (* 2 (sqrt (/ 1 im)))) into (* -1/2 (sqrt (/ 1 (pow im 3)))) 13.987 * [backup-simplify]: Simplify (* (fabs im) (sqrt 2.0)) into (* (fabs im) (sqrt 2.0)) 13.987 * [backup-simplify]: Simplify (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 im))) into (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 im))) 13.987 * [taylor]: Taking taylor expansion of (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 im))) in im 13.987 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in im 13.987 * [taylor]: Taking taylor expansion of (fabs im) in im 13.987 * [backup-simplify]: Simplify (fabs im) into (fabs im) 13.987 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 13.987 * [taylor]: Taking taylor expansion of 2.0 in im 13.987 * [backup-simplify]: Simplify 2.0 into 2.0 13.988 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 13.988 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 13.988 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 13.989 * [taylor]: Taking taylor expansion of (/ 1 im) in im 13.989 * [taylor]: Taking taylor expansion of im in im 13.989 * [backup-simplify]: Simplify 0 into 0 13.989 * [backup-simplify]: Simplify 1 into 1 13.989 * [backup-simplify]: Simplify (/ 1 1) into 1 13.989 * [backup-simplify]: Simplify (sqrt 0) into 0 13.993 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.994 * [backup-simplify]: Simplify (* (fabs im) (sqrt 2.0)) into (* (fabs im) (sqrt 2.0)) 13.994 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (* 0 (sqrt 2.0))) into 0 13.995 * [backup-simplify]: Simplify (+ (* (* (fabs im) (sqrt 2.0)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (fabs im) (sqrt 2.0)))) 13.995 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs im) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs im) (sqrt 2.0)))) 13.995 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (* 0 (sqrt 2.0))) into 0 13.996 * [backup-simplify]: Simplify (+ (* (* (fabs im) (sqrt 2.0)) (* -1/2 (sqrt (/ 1 (pow im 3))))) (* 0 (sqrt (/ 1 im)))) into (- (* 1/2 (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (pow im 3)))))) 13.996 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (pow im 3)))))) in im 13.996 * [taylor]: Taking taylor expansion of (* 1/2 (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (pow im 3))))) in im 13.996 * [taylor]: Taking taylor expansion of 1/2 in im 13.996 * [backup-simplify]: Simplify 1/2 into 1/2 13.996 * [taylor]: Taking taylor expansion of (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (pow im 3)))) in im 13.996 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in im 13.996 * [taylor]: Taking taylor expansion of (fabs im) in im 13.996 * [backup-simplify]: Simplify (fabs im) into (fabs im) 13.996 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 13.996 * [taylor]: Taking taylor expansion of 2.0 in im 13.996 * [backup-simplify]: Simplify 2.0 into 2.0 13.996 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 13.997 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 13.997 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 13.997 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 13.997 * [taylor]: Taking taylor expansion of (pow im 3) in im 13.997 * [taylor]: Taking taylor expansion of im in im 13.997 * [backup-simplify]: Simplify 0 into 0 13.997 * [backup-simplify]: Simplify 1 into 1 13.997 * [backup-simplify]: Simplify (* 1 1) into 1 13.997 * [backup-simplify]: Simplify (* 1 1) into 1 13.998 * [backup-simplify]: Simplify (/ 1 1) into 1 13.998 * [backup-simplify]: Simplify (sqrt 0) into 0 13.999 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.999 * [backup-simplify]: Simplify (* (fabs im) (sqrt 2.0)) into (* (fabs im) (sqrt 2.0)) 13.999 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.000 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.002 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 14.002 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (* 0 (sqrt 2.0))) into 0 14.003 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 14.003 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 14.004 * [backup-simplify]: Simplify (+ (* (* (fabs im) (sqrt 2.0)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (fabs im) (sqrt 2.0)))) 14.005 * [backup-simplify]: Simplify (+ (* (* (fabs im) (sqrt 2.0)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (fabs im) (sqrt 2.0)))) 14.005 * [backup-simplify]: Simplify (* (* (fabs im) (sqrt 2.0)) 0) into 0 14.006 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (* (fabs im) (sqrt 2.0))))) (+ (* 0 (- (* +nan.0 (* (fabs im) (sqrt 2.0))))) (* 0 0))) into (- (* +nan.0 (* (fabs im) (sqrt 2.0)))) 14.006 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (fabs im) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs im) (sqrt 2.0)))) 14.006 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs im) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs im) (sqrt 2.0)))) 14.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.009 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 14.009 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 14.010 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 14.010 * [backup-simplify]: Simplify (+ (* (* (fabs im) (sqrt 2.0)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (fabs im) (sqrt 2.0)))) 14.011 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs im) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs im) (sqrt 2.0)))) 14.012 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (fabs im) (sqrt 2.0)))) (* im 1)) (+ (* (- (* +nan.0 (* (fabs im) (sqrt 2.0)))) (* 1 re)) (- (* +nan.0 (* (fabs im) (sqrt 2.0)))))) into (- (+ (* +nan.0 (* (fabs im) (* (sqrt 2.0) re))) (- (+ (* +nan.0 (* (fabs im) (* (sqrt 2.0) im))) (- (* +nan.0 (* (fabs im) (sqrt 2.0)))))))) 14.012 * [backup-simplify]: Simplify (/ (sqrt 2.0) (/ (sqrt (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) (fabs (/ 1 im)))) into (* (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) 14.012 * [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 (re im) around 0 14.012 * [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 14.012 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in im 14.012 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im 14.012 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 14.012 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 14.012 * [taylor]: Taking taylor expansion of 2.0 in im 14.012 * [backup-simplify]: Simplify 2.0 into 2.0 14.013 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 14.013 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 14.013 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 14.013 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 14.013 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 14.013 * [taylor]: Taking taylor expansion of (/ 1 re) in im 14.013 * [taylor]: Taking taylor expansion of re in im 14.013 * [backup-simplify]: Simplify re into re 14.013 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 14.013 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 14.013 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 14.013 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 14.013 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.013 * [taylor]: Taking taylor expansion of im in im 14.013 * [backup-simplify]: Simplify 0 into 0 14.013 * [backup-simplify]: Simplify 1 into 1 14.014 * [backup-simplify]: Simplify (* 1 1) into 1 14.014 * [backup-simplify]: Simplify (/ 1 1) into 1 14.014 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 14.014 * [taylor]: Taking taylor expansion of (pow re 2) in im 14.014 * [taylor]: Taking taylor expansion of re in im 14.014 * [backup-simplify]: Simplify re into re 14.014 * [backup-simplify]: Simplify (* re re) into (pow re 2) 14.014 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 14.014 * [backup-simplify]: Simplify (+ 1 0) into 1 14.015 * [backup-simplify]: Simplify (sqrt 1) into 1 14.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.016 * [backup-simplify]: Simplify (+ 0 0) into 0 14.016 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.016 * [backup-simplify]: Simplify (+ 0 1) into 1 14.017 * [backup-simplify]: Simplify (/ 1 1) into 1 14.017 * [backup-simplify]: Simplify (sqrt 0) into 0 14.018 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 14.018 * [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 14.018 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re 14.018 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 14.018 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 14.019 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 14.019 * [taylor]: Taking taylor expansion of 2.0 in re 14.019 * [backup-simplify]: Simplify 2.0 into 2.0 14.019 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 14.020 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 14.020 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 14.020 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 14.020 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 14.020 * [taylor]: Taking taylor expansion of (/ 1 re) in re 14.020 * [taylor]: Taking taylor expansion of re in re 14.020 * [backup-simplify]: Simplify 0 into 0 14.020 * [backup-simplify]: Simplify 1 into 1 14.020 * [backup-simplify]: Simplify (/ 1 1) into 1 14.020 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 14.020 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 14.020 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 14.020 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.020 * [taylor]: Taking taylor expansion of im in re 14.021 * [backup-simplify]: Simplify im into im 14.021 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.021 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 14.021 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 14.021 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.021 * [taylor]: Taking taylor expansion of re in re 14.021 * [backup-simplify]: Simplify 0 into 0 14.021 * [backup-simplify]: Simplify 1 into 1 14.021 * [backup-simplify]: Simplify (* 1 1) into 1 14.022 * [backup-simplify]: Simplify (/ 1 1) into 1 14.022 * [backup-simplify]: Simplify (+ 0 1) into 1 14.023 * [backup-simplify]: Simplify (sqrt 1) into 1 14.024 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.025 * [backup-simplify]: Simplify (+ 0 0) into 0 14.025 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.026 * [backup-simplify]: Simplify (+ 1 1) into 2 14.026 * [backup-simplify]: Simplify (/ 1 2) into 1/2 14.027 * [backup-simplify]: Simplify (sqrt 0) into 0 14.028 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0 14.028 * [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 14.028 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re 14.028 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 14.028 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 14.028 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 14.028 * [taylor]: Taking taylor expansion of 2.0 in re 14.028 * [backup-simplify]: Simplify 2.0 into 2.0 14.029 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 14.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 14.030 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 14.030 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 14.030 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 14.030 * [taylor]: Taking taylor expansion of (/ 1 re) in re 14.030 * [taylor]: Taking taylor expansion of re in re 14.030 * [backup-simplify]: Simplify 0 into 0 14.030 * [backup-simplify]: Simplify 1 into 1 14.030 * [backup-simplify]: Simplify (/ 1 1) into 1 14.030 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 14.030 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 14.030 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 14.031 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.031 * [taylor]: Taking taylor expansion of im in re 14.031 * [backup-simplify]: Simplify im into im 14.031 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.031 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 14.031 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 14.031 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.031 * [taylor]: Taking taylor expansion of re in re 14.031 * [backup-simplify]: Simplify 0 into 0 14.031 * [backup-simplify]: Simplify 1 into 1 14.031 * [backup-simplify]: Simplify (* 1 1) into 1 14.032 * [backup-simplify]: Simplify (/ 1 1) into 1 14.032 * [backup-simplify]: Simplify (+ 0 1) into 1 14.033 * [backup-simplify]: Simplify (sqrt 1) into 1 14.033 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.034 * [backup-simplify]: Simplify (+ 0 0) into 0 14.035 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.035 * [backup-simplify]: Simplify (+ 1 1) into 2 14.036 * [backup-simplify]: Simplify (/ 1 2) into 1/2 14.036 * [backup-simplify]: Simplify (sqrt 0) into 0 14.037 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0 14.038 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0)) 14.038 * [backup-simplify]: Simplify (* (* (fabs (/ 1 im)) (sqrt 2.0)) 0) into 0 14.038 * [taylor]: Taking taylor expansion of 0 in im 14.039 * [backup-simplify]: Simplify 0 into 0 14.039 * [backup-simplify]: Simplify 0 into 0 14.039 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (* 0 (sqrt 2.0))) into 0 14.040 * [backup-simplify]: Simplify (+ (* (* (fabs (/ 1 im)) (sqrt 2.0)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 14.040 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) in im 14.040 * [taylor]: Taking taylor expansion of (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) in im 14.040 * [taylor]: Taking taylor expansion of +nan.0 in im 14.040 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.040 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in im 14.040 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im 14.040 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 14.040 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 14.041 * [taylor]: Taking taylor expansion of 2.0 in im 14.041 * [backup-simplify]: Simplify 2.0 into 2.0 14.041 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 14.042 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 14.042 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0)) 14.043 * [backup-simplify]: Simplify (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) into (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) 14.043 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 14.044 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 14.044 * [backup-simplify]: Simplify 0 into 0 14.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.045 * [backup-simplify]: Simplify (+ 0 0) into 0 14.046 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 14.049 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 14.050 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 14.051 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 14.052 * [backup-simplify]: Simplify (+ (* (* (fabs (/ 1 im)) (sqrt 2.0)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 14.052 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) in im 14.052 * [taylor]: Taking taylor expansion of (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) in im 14.052 * [taylor]: Taking taylor expansion of +nan.0 in im 14.052 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.052 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in im 14.052 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im 14.052 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 14.052 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 14.052 * [taylor]: Taking taylor expansion of 2.0 in im 14.052 * [backup-simplify]: Simplify 2.0 into 2.0 14.053 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 14.053 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 14.054 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0)) 14.054 * [backup-simplify]: Simplify (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) into (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) 14.055 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 14.055 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 14.056 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (* 0 (sqrt 2.0))) into 0 14.057 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into 0 14.057 * [backup-simplify]: Simplify (- 0) into 0 14.057 * [backup-simplify]: Simplify 0 into 0 14.057 * [backup-simplify]: Simplify 0 into 0 14.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.060 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 14.061 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 14.062 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 14.062 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ (* 1/2 (/ 1 (pow im 2))) 2)) (* 0 (/ 0 2)))) into (- (* 1/8 (/ 1 (pow im 2)))) 14.065 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 2)))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (+ (* 1/8 (/ 1 (pow im 2))) (- +nan.0))) 14.066 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 14.067 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 14.069 * [backup-simplify]: Simplify (+ (* (* (fabs (/ 1 im)) (sqrt 2.0)) (* +nan.0 (+ (* 1/8 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow im 2))) (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))))) 14.069 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow im 2))) (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))))) in im 14.069 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow im 2))) (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) in im 14.069 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow im 2))) in im 14.069 * [taylor]: Taking taylor expansion of +nan.0 in im 14.069 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.069 * [taylor]: Taking taylor expansion of (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow im 2)) in im 14.069 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in im 14.069 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im 14.069 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 14.069 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 14.069 * [taylor]: Taking taylor expansion of 2.0 in im 14.069 * [backup-simplify]: Simplify 2.0 into 2.0 14.070 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 14.071 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 14.071 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.071 * [taylor]: Taking taylor expansion of im in im 14.071 * [backup-simplify]: Simplify 0 into 0 14.071 * [backup-simplify]: Simplify 1 into 1 14.071 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0)) 14.072 * [backup-simplify]: Simplify (* 1 1) into 1 14.072 * [backup-simplify]: Simplify (/ (* (fabs (/ 1 im)) (sqrt 2.0)) 1) into (* (fabs (/ 1 im)) (sqrt 2.0)) 14.072 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) in im 14.072 * [taylor]: Taking taylor expansion of (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) in im 14.072 * [taylor]: Taking taylor expansion of +nan.0 in im 14.072 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.072 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in im 14.072 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im 14.072 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 14.072 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 14.072 * [taylor]: Taking taylor expansion of 2.0 in im 14.072 * [backup-simplify]: Simplify 2.0 into 2.0 14.073 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 14.073 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 14.075 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 14.076 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 14.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.077 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (* 0 (sqrt 2.0))) into 0 14.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.079 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (fabs (/ 1 im)) (sqrt 2.0)) (/ 0 1)))) into 0 14.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (fabs (/ 1 im)) (sqrt 2.0)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.082 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into 0 14.083 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0)) 14.084 * [backup-simplify]: Simplify (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) into (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) 14.084 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 14.085 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 14.085 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 14.086 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 14.088 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (fabs (/ 1 (/ 1 im))) (sqrt 2.0)))) (pow (* 1 (/ 1 re)) 3)) (+ (* (- (* +nan.0 (* (fabs (/ 1 (/ 1 im))) (sqrt 2.0)))) (pow (* 1 (/ 1 re)) 2)) (* (- (* +nan.0 (* (fabs (/ 1 (/ 1 im))) (sqrt 2.0)))) (* 1 (/ 1 re))))) into (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) re)) (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow re 2))) (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow re 3)))))))) 14.090 * [backup-simplify]: Simplify (/ (sqrt 2.0) (/ (sqrt (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) (fabs (/ 1 (- im))))) into (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) 14.090 * [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 (re im) around 0 14.090 * [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 14.090 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in im 14.090 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 14.090 * [taylor]: Taking taylor expansion of 2.0 in im 14.090 * [backup-simplify]: Simplify 2.0 into 2.0 14.090 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 14.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 14.091 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im 14.091 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 14.091 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 14.091 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 14.091 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 14.091 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 14.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 14.091 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 14.091 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.091 * [taylor]: Taking taylor expansion of im in im 14.091 * [backup-simplify]: Simplify 0 into 0 14.091 * [backup-simplify]: Simplify 1 into 1 14.092 * [backup-simplify]: Simplify (* 1 1) into 1 14.092 * [backup-simplify]: Simplify (/ 1 1) into 1 14.092 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 14.092 * [taylor]: Taking taylor expansion of (pow re 2) in im 14.092 * [taylor]: Taking taylor expansion of re in im 14.092 * [backup-simplify]: Simplify re into re 14.092 * [backup-simplify]: Simplify (* re re) into (pow re 2) 14.093 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 14.093 * [backup-simplify]: Simplify (+ 1 0) into 1 14.093 * [backup-simplify]: Simplify (sqrt 1) into 1 14.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.095 * [backup-simplify]: Simplify (+ 0 0) into 0 14.096 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.096 * [taylor]: Taking taylor expansion of (/ 1 re) in im 14.096 * [taylor]: Taking taylor expansion of re in im 14.096 * [backup-simplify]: Simplify re into re 14.096 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 14.096 * [backup-simplify]: Simplify (+ 1 0) into 1 14.097 * [backup-simplify]: Simplify (/ 1 1) into 1 14.097 * [backup-simplify]: Simplify (sqrt 0) into 0 14.099 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 14.099 * [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 14.099 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 14.099 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 14.099 * [taylor]: Taking taylor expansion of 2.0 in re 14.099 * [backup-simplify]: Simplify 2.0 into 2.0 14.099 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 14.100 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 14.100 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 14.100 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 14.100 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 14.100 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 14.100 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 14.100 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 14.100 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 14.100 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 14.100 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.100 * [taylor]: Taking taylor expansion of im in re 14.100 * [backup-simplify]: Simplify im into im 14.100 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.101 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 14.101 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 14.101 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.101 * [taylor]: Taking taylor expansion of re in re 14.101 * [backup-simplify]: Simplify 0 into 0 14.101 * [backup-simplify]: Simplify 1 into 1 14.101 * [backup-simplify]: Simplify (* 1 1) into 1 14.101 * [backup-simplify]: Simplify (/ 1 1) into 1 14.102 * [backup-simplify]: Simplify (+ 0 1) into 1 14.102 * [backup-simplify]: Simplify (sqrt 1) into 1 14.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.104 * [backup-simplify]: Simplify (+ 0 0) into 0 14.105 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.105 * [taylor]: Taking taylor expansion of (/ 1 re) in re 14.105 * [taylor]: Taking taylor expansion of re in re 14.105 * [backup-simplify]: Simplify 0 into 0 14.105 * [backup-simplify]: Simplify 1 into 1 14.105 * [backup-simplify]: Simplify (/ 1 1) into 1 14.106 * [backup-simplify]: Simplify (- 1) into -1 14.106 * [backup-simplify]: Simplify (+ 1 -1) into 0 14.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.107 * [backup-simplify]: Simplify (- 0) into 0 14.108 * [backup-simplify]: Simplify (+ 0 0) into 0 14.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.110 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 14.111 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 14.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.112 * [backup-simplify]: Simplify (- 0) into 0 14.112 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 14.113 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2)) 14.113 * [backup-simplify]: Simplify (sqrt 0) into 0 14.114 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2)) 14.114 * [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 14.114 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 14.114 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 14.114 * [taylor]: Taking taylor expansion of 2.0 in re 14.114 * [backup-simplify]: Simplify 2.0 into 2.0 14.114 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 14.115 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 14.115 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 14.115 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 14.115 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 14.115 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 14.115 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 14.115 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 14.115 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 14.115 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 14.115 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.115 * [taylor]: Taking taylor expansion of im in re 14.115 * [backup-simplify]: Simplify im into im 14.115 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.116 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 14.116 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 14.116 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.116 * [taylor]: Taking taylor expansion of re in re 14.116 * [backup-simplify]: Simplify 0 into 0 14.116 * [backup-simplify]: Simplify 1 into 1 14.116 * [backup-simplify]: Simplify (* 1 1) into 1 14.117 * [backup-simplify]: Simplify (/ 1 1) into 1 14.117 * [backup-simplify]: Simplify (+ 0 1) into 1 14.117 * [backup-simplify]: Simplify (sqrt 1) into 1 14.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.119 * [backup-simplify]: Simplify (+ 0 0) into 0 14.120 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.120 * [taylor]: Taking taylor expansion of (/ 1 re) in re 14.120 * [taylor]: Taking taylor expansion of re in re 14.120 * [backup-simplify]: Simplify 0 into 0 14.120 * [backup-simplify]: Simplify 1 into 1 14.120 * [backup-simplify]: Simplify (/ 1 1) into 1 14.120 * [backup-simplify]: Simplify (- 1) into -1 14.121 * [backup-simplify]: Simplify (+ 1 -1) into 0 14.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.122 * [backup-simplify]: Simplify (- 0) into 0 14.122 * [backup-simplify]: Simplify (+ 0 0) into 0 14.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.128 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 14.129 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 14.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.130 * [backup-simplify]: Simplify (- 0) into 0 14.130 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 14.130 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2)) 14.130 * [backup-simplify]: Simplify (sqrt 0) into 0 14.131 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2)) 14.131 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im))) 14.131 * [backup-simplify]: Simplify (* (* (sqrt 2.0) (fabs (/ -1 im))) 0) into 0 14.131 * [taylor]: Taking taylor expansion of 0 in im 14.131 * [backup-simplify]: Simplify 0 into 0 14.131 * [backup-simplify]: Simplify 0 into 0 14.132 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ -1 im)))) into 0 14.133 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (* +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (* (fabs (/ -1 im)) (pow im 2))))) 14.133 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2.0) (* (fabs (/ -1 im)) (pow im 2))))) in im 14.133 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (* (fabs (/ -1 im)) (pow im 2)))) in im 14.133 * [taylor]: Taking taylor expansion of +nan.0 in im 14.133 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.133 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (* (fabs (/ -1 im)) (pow im 2))) in im 14.133 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 14.133 * [taylor]: Taking taylor expansion of 2.0 in im 14.133 * [backup-simplify]: Simplify 2.0 into 2.0 14.133 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 14.133 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 14.134 * [taylor]: Taking taylor expansion of (* (fabs (/ -1 im)) (pow im 2)) in im 14.134 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im 14.134 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 14.134 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.134 * [taylor]: Taking taylor expansion of im in im 14.134 * [backup-simplify]: Simplify 0 into 0 14.134 * [backup-simplify]: Simplify 1 into 1 14.134 * [backup-simplify]: Simplify 0 into 0 14.134 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 14.134 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 14.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.135 * [backup-simplify]: Simplify (+ 0 0) into 0 14.136 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 14.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.137 * [backup-simplify]: Simplify (- 0) into 0 14.137 * [backup-simplify]: Simplify (+ 0 0) into 0 14.137 * [backup-simplify]: Simplify (- (+ (* (* 2 (pow im 2)) (/ 0 (* 1/2 (/ 1 (pow im 2))))))) into 0 14.138 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (* +nan.0 (pow im 4)) 14.138 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 14.139 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (fabs (/ -1 im))))) into 0 14.140 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (* +nan.0 (pow im 4))) (+ (* 0 (* +nan.0 (pow im 2))) (* 0 0))) into (- (* +nan.0 (* (sqrt 2.0) (* (fabs (/ -1 im)) (pow im 4))))) 14.140 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2.0) (* (fabs (/ -1 im)) (pow im 4))))) in im 14.140 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (* (fabs (/ -1 im)) (pow im 4)))) in im 14.140 * [taylor]: Taking taylor expansion of +nan.0 in im 14.140 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.140 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (* (fabs (/ -1 im)) (pow im 4))) in im 14.140 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 14.140 * [taylor]: Taking taylor expansion of 2.0 in im 14.140 * [backup-simplify]: Simplify 2.0 into 2.0 14.140 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 14.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 14.141 * [taylor]: Taking taylor expansion of (* (fabs (/ -1 im)) (pow im 4)) in im 14.141 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im 14.141 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 14.141 * [taylor]: Taking taylor expansion of (pow im 4) in im 14.141 * [taylor]: Taking taylor expansion of im in im 14.141 * [backup-simplify]: Simplify 0 into 0 14.141 * [backup-simplify]: Simplify 1 into 1 14.141 * [backup-simplify]: Simplify 0 into 0 14.141 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 14.141 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 14.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.143 * [backup-simplify]: Simplify (+ 0 0) into 0 14.143 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 14.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.144 * [backup-simplify]: Simplify (- 0) into 0 14.144 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 14.145 * [backup-simplify]: Simplify (- (+ (* (* 2 (pow im 2)) (/ (- (* 1/8 (/ 1 (pow im 4)))) (* 1/2 (/ 1 (pow im 2))))) (* 0 (/ 0 (* 1/2 (/ 1 (pow im 2))))))) into 1/2 14.145 * [backup-simplify]: Simplify (/ (- 1/2 (+ (* 2 (* (* +nan.0 (pow im 2)) (* +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (- 1/2 (* +nan.0 (pow im 6)))) 14.146 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 14.147 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fabs (/ -1 im)))))) into 0 14.148 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (* +nan.0 (- 1/2 (* +nan.0 (pow im 6))))) (+ (* 0 (* +nan.0 (pow im 4))) (+ (* 0 (* +nan.0 (pow im 2))) (* 0 0)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) (- (* +nan.0 (* (sqrt 2.0) (* (fabs (/ -1 im)) (pow im 6))))))) 14.148 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) (- (* +nan.0 (* (sqrt 2.0) (* (fabs (/ -1 im)) (pow im 6))))))) in im 14.148 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) (- (* +nan.0 (* (sqrt 2.0) (* (fabs (/ -1 im)) (pow im 6)))))) in im 14.148 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) in im 14.148 * [taylor]: Taking taylor expansion of +nan.0 in im 14.148 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.148 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in im 14.148 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 14.148 * [taylor]: Taking taylor expansion of 2.0 in im 14.148 * [backup-simplify]: Simplify 2.0 into 2.0 14.148 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 14.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 14.148 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im 14.149 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 14.149 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2.0) (* (fabs (/ -1 im)) (pow im 6))))) in im 14.149 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (* (fabs (/ -1 im)) (pow im 6)))) in im 14.149 * [taylor]: Taking taylor expansion of +nan.0 in im 14.149 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.149 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (* (fabs (/ -1 im)) (pow im 6))) in im 14.149 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 14.149 * [taylor]: Taking taylor expansion of 2.0 in im 14.149 * [backup-simplify]: Simplify 2.0 into 2.0 14.149 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 14.149 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 14.149 * [taylor]: Taking taylor expansion of (* (fabs (/ -1 im)) (pow im 6)) in im 14.149 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im 14.149 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 14.150 * [taylor]: Taking taylor expansion of (pow im 6) in im 14.150 * [taylor]: Taking taylor expansion of im in im 14.150 * [backup-simplify]: Simplify 0 into 0 14.150 * [backup-simplify]: Simplify 1 into 1 14.150 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im))) 14.150 * [backup-simplify]: Simplify (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) into (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) 14.150 * [backup-simplify]: Simplify (+ (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) 0) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 14.151 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 14.151 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 14.151 * [backup-simplify]: Simplify (* 1 1) into 1 14.152 * [backup-simplify]: Simplify (* (fabs (/ -1 im)) 1) into (fabs (/ -1 im)) 14.152 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im))) 14.152 * [backup-simplify]: Simplify (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) into (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) 14.152 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 14.153 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 14.153 * [backup-simplify]: Simplify 0 into 0 14.153 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 14.154 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 14.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 14.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.155 * [backup-simplify]: Simplify (+ 0 0) into 0 14.156 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (pow im 4)))) (* 2 (* (/ 1/2 (pow im 2)) 0)))) (* 2 1)) into 0 14.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.156 * [backup-simplify]: Simplify (- 0) into 0 14.157 * [backup-simplify]: Simplify (+ 0 0) into 0 14.157 * [backup-simplify]: Simplify (- (+ (* (* 2 (pow im 2)) (/ 0 (* 1/2 (/ 1 (pow im 2))))) (* 0 (/ (- (* 1/8 (/ 1 (pow im 4)))) (* 1/2 (/ 1 (pow im 2))))) (* 1/2 (/ 0 (* 1/2 (/ 1 (pow im 2))))))) into 0 14.158 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (pow im 4)) 2) (+ (* 2 (* (* +nan.0 (pow im 2)) (* +nan.0 (- 1/2 (* +nan.0 (pow im 6)))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (pow im 8)) (- (* +nan.0 (pow im 2))))) 14.159 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 14.160 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fabs (/ -1 im))))))) into 0 14.161 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (* +nan.0 (+ (* +nan.0 (pow im 8)) (- (* +nan.0 (pow im 2)))))) (+ (* 0 (* +nan.0 (- 1/2 (* +nan.0 (pow im 6))))) (+ (* 0 (* +nan.0 (pow im 4))) (+ (* 0 (* +nan.0 (pow im 2))) (* 0 0))))) into (- (+ (* +nan.0 (* (sqrt 2.0) (* (fabs (/ -1 im)) (pow im 2)))) (- (* +nan.0 (* (sqrt 2.0) (* (fabs (/ -1 im)) (pow im 8))))))) 14.161 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2.0) (* (fabs (/ -1 im)) (pow im 2)))) (- (* +nan.0 (* (sqrt 2.0) (* (fabs (/ -1 im)) (pow im 8))))))) in im 14.161 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2.0) (* (fabs (/ -1 im)) (pow im 2)))) (- (* +nan.0 (* (sqrt 2.0) (* (fabs (/ -1 im)) (pow im 8)))))) in im 14.161 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (* (fabs (/ -1 im)) (pow im 2)))) in im 14.161 * [taylor]: Taking taylor expansion of +nan.0 in im 14.161 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.161 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (* (fabs (/ -1 im)) (pow im 2))) in im 14.161 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 14.161 * [taylor]: Taking taylor expansion of 2.0 in im 14.161 * [backup-simplify]: Simplify 2.0 into 2.0 14.161 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 14.162 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 14.162 * [taylor]: Taking taylor expansion of (* (fabs (/ -1 im)) (pow im 2)) in im 14.162 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im 14.162 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 14.162 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.162 * [taylor]: Taking taylor expansion of im in im 14.162 * [backup-simplify]: Simplify 0 into 0 14.162 * [backup-simplify]: Simplify 1 into 1 14.162 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2.0) (* (fabs (/ -1 im)) (pow im 8))))) in im 14.162 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (* (fabs (/ -1 im)) (pow im 8)))) in im 14.162 * [taylor]: Taking taylor expansion of +nan.0 in im 14.162 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.162 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (* (fabs (/ -1 im)) (pow im 8))) in im 14.162 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 14.162 * [taylor]: Taking taylor expansion of 2.0 in im 14.162 * [backup-simplify]: Simplify 2.0 into 2.0 14.162 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 14.163 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 14.163 * [taylor]: Taking taylor expansion of (* (fabs (/ -1 im)) (pow im 8)) in im 14.163 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im 14.163 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 14.163 * [taylor]: Taking taylor expansion of (pow im 8) in im 14.163 * [taylor]: Taking taylor expansion of im in im 14.163 * [backup-simplify]: Simplify 0 into 0 14.163 * [backup-simplify]: Simplify 1 into 1 14.163 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ -1 im)))) into 0 14.164 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2.0) (fabs (/ -1 im))))) into 0 14.164 * [backup-simplify]: Simplify (+ 0 0) into 0 14.164 * [backup-simplify]: Simplify (- 0) into 0 14.164 * [backup-simplify]: Simplify 0 into 0 14.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.165 * [backup-simplify]: Simplify (+ (* (fabs (/ -1 im)) 0) (* 0 1)) into 0 14.166 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ -1 im)))) into 0 14.166 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2.0) (fabs (/ -1 im))))) into 0 14.166 * [backup-simplify]: Simplify (- 0) into 0 14.166 * [backup-simplify]: Simplify 0 into 0 14.166 * [backup-simplify]: Simplify 0 into 0 14.167 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 14.168 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 14.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 14.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.169 * [backup-simplify]: Simplify (+ 0 0) into 0 14.170 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* (/ 1/2 (pow im 2)) (/ -1/8 (pow im 4)))))) (* 2 1)) into (/ 1/16 (pow im 6)) 14.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.171 * [backup-simplify]: Simplify (- 0) into 0 14.171 * [backup-simplify]: Simplify (+ (/ 1/16 (pow im 6)) 0) into (* 1/16 (/ 1 (pow im 6))) 14.172 * [backup-simplify]: Simplify (- (+ (* (* 2 (pow im 2)) (/ (* 1/16 (/ 1 (pow im 6))) (* 1/2 (/ 1 (pow im 2))))) (* 0 (/ 0 (* 1/2 (/ 1 (pow im 2))))) (* 1/2 (/ (- (* 1/8 (/ 1 (pow im 4)))) (* 1/2 (/ 1 (pow im 2))))) (* 0 (/ 0 (* 1/2 (/ 1 (pow im 2))))))) into (- (* 1/8 (/ 1 (pow im 2)))) 14.174 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 2)))) (+ (* 2 (* (* +nan.0 (pow im 2)) (* +nan.0 (+ (* +nan.0 (pow im 8)) (- (* +nan.0 (pow im 2))))))) (* 2 (* (* +nan.0 (pow im 4)) (* +nan.0 (- 1/2 (* +nan.0 (pow im 6)))))))) (* 2 0)) into (* +nan.0 (+ (* 1/8 (/ 1 (pow im 2))) (- (+ (* +nan.0 (pow im 4)) (- (* +nan.0 (pow im 10))))))) 14.175 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 14.177 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fabs (/ -1 im)))))))) into 0 14.181 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (* +nan.0 (+ (* 1/8 (/ 1 (pow im 2))) (- (+ (* +nan.0 (pow im 4)) (- (* +nan.0 (pow im 10)))))))) (+ (* 0 (* +nan.0 (+ (* +nan.0 (pow im 8)) (- (* +nan.0 (pow im 2)))))) (+ (* 0 (* +nan.0 (- 1/2 (* +nan.0 (pow im 6))))) (+ (* 0 (* +nan.0 (pow im 4))) (+ (* 0 (* +nan.0 (pow im 2))) (* 0 0)))))) into (- (+ (* +nan.0 (* (sqrt 2.0) (* (fabs (/ -1 im)) (pow im 4)))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (fabs (/ -1 im)) (pow im 10)))) (- (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow im 2)))))))) 14.181 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2.0) (* (fabs (/ -1 im)) (pow im 4)))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (fabs (/ -1 im)) (pow im 10)))) (- (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow im 2)))))))) in im 14.181 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2.0) (* (fabs (/ -1 im)) (pow im 4)))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (fabs (/ -1 im)) (pow im 10)))) (- (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow im 2))))))) in im 14.181 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (* (fabs (/ -1 im)) (pow im 4)))) in im 14.181 * [taylor]: Taking taylor expansion of +nan.0 in im 14.181 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.181 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (* (fabs (/ -1 im)) (pow im 4))) in im 14.181 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 14.181 * [taylor]: Taking taylor expansion of 2.0 in im 14.181 * [backup-simplify]: Simplify 2.0 into 2.0 14.181 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 14.182 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 14.182 * [taylor]: Taking taylor expansion of (* (fabs (/ -1 im)) (pow im 4)) in im 14.182 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im 14.182 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 14.182 * [taylor]: Taking taylor expansion of (pow im 4) in im 14.183 * [taylor]: Taking taylor expansion of im in im 14.183 * [backup-simplify]: Simplify 0 into 0 14.183 * [backup-simplify]: Simplify 1 into 1 14.183 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2.0) (* (fabs (/ -1 im)) (pow im 10)))) (- (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow im 2)))))) in im 14.183 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2.0) (* (fabs (/ -1 im)) (pow im 10)))) (- (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow im 2))))) in im 14.183 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (* (fabs (/ -1 im)) (pow im 10)))) in im 14.183 * [taylor]: Taking taylor expansion of +nan.0 in im 14.183 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.183 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (* (fabs (/ -1 im)) (pow im 10))) in im 14.183 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 14.183 * [taylor]: Taking taylor expansion of 2.0 in im 14.183 * [backup-simplify]: Simplify 2.0 into 2.0 14.183 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 14.184 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 14.184 * [taylor]: Taking taylor expansion of (* (fabs (/ -1 im)) (pow im 10)) in im 14.184 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im 14.184 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 14.185 * [taylor]: Taking taylor expansion of (pow im 10) in im 14.185 * [taylor]: Taking taylor expansion of im in im 14.185 * [backup-simplify]: Simplify 0 into 0 14.185 * [backup-simplify]: Simplify 1 into 1 14.185 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow im 2)))) in im 14.185 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow im 2))) in im 14.185 * [taylor]: Taking taylor expansion of +nan.0 in im 14.185 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.185 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow im 2)) in im 14.185 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in im 14.185 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 14.185 * [taylor]: Taking taylor expansion of 2.0 in im 14.185 * [backup-simplify]: Simplify 2.0 into 2.0 14.185 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 14.186 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 14.186 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im 14.186 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 14.186 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.186 * [taylor]: Taking taylor expansion of im in im 14.186 * [backup-simplify]: Simplify 0 into 0 14.186 * [backup-simplify]: Simplify 1 into 1 14.187 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im))) 14.187 * [backup-simplify]: Simplify (* 1 1) into 1 14.188 * [backup-simplify]: Simplify (/ (* (sqrt 2.0) (fabs (/ -1 im))) 1) into (* (sqrt 2.0) (fabs (/ -1 im))) 14.189 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 14.190 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (fabs (/ -1 im))))) into 0 14.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.191 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ -1 im)))) into 0 14.192 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.193 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (/ 0 1)))) into 0 14.195 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.196 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into 0 14.197 * [backup-simplify]: Simplify (- 0) into 0 14.197 * [backup-simplify]: Simplify (+ 0 0) into 0 14.197 * [backup-simplify]: Simplify (- 0) into 0 14.198 * [backup-simplify]: Simplify (+ 0 0) into 0 14.198 * [backup-simplify]: Simplify (- 0) into 0 14.198 * [backup-simplify]: Simplify 0 into 0 14.199 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 14.200 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (fabs (/ -1 im))))) into 0 14.201 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into 0 14.202 * [backup-simplify]: Simplify (+ 0 0) into 0 14.202 * [backup-simplify]: Simplify (- 0) into 0 14.202 * [backup-simplify]: Simplify 0 into 0 14.204 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 (/ 1 (- im))))))) (pow (* (/ 1 (- im)) 1) 2)) (* (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 (/ 1 (- im))))))) (pow (* 1 (/ 1 (- re))) 2))) into (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow re 2))) (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow im 2)))))) 14.204 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 14.204 * [backup-simplify]: Simplify (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (fabs im)) into (* (/ 1 (fabs im)) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) 14.204 * [approximate]: Taking taylor expansion of (* (/ 1 (fabs im)) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in (re im) around 0 14.204 * [taylor]: Taking taylor expansion of (* (/ 1 (fabs im)) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 14.204 * [taylor]: Taking taylor expansion of (/ 1 (fabs im)) in im 14.205 * [taylor]: Taking taylor expansion of (fabs im) in im 14.205 * [backup-simplify]: Simplify (fabs im) into (fabs im) 14.205 * [backup-simplify]: Simplify (/ 1 (fabs im)) into (/ 1 (fabs im)) 14.205 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 14.205 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 14.205 * [taylor]: Taking taylor expansion of re in im 14.205 * [backup-simplify]: Simplify re into re 14.205 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 14.205 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 14.205 * [taylor]: Taking taylor expansion of (pow re 2) in im 14.205 * [taylor]: Taking taylor expansion of re in im 14.205 * [backup-simplify]: Simplify re into re 14.205 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.205 * [taylor]: Taking taylor expansion of im in im 14.205 * [backup-simplify]: Simplify 0 into 0 14.205 * [backup-simplify]: Simplify 1 into 1 14.205 * [backup-simplify]: Simplify (* re re) into (pow re 2) 14.205 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 14.205 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 14.206 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 14.206 * [backup-simplify]: Simplify (+ 0 0) into 0 14.206 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 14.206 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 14.206 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2)) 14.207 * [backup-simplify]: Simplify (+ 0 0) into 0 14.207 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 14.207 * [taylor]: Taking taylor expansion of (* (/ 1 (fabs im)) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 14.207 * [taylor]: Taking taylor expansion of (/ 1 (fabs im)) in re 14.207 * [taylor]: Taking taylor expansion of (fabs im) in re 14.207 * [backup-simplify]: Simplify (fabs im) into (fabs im) 14.207 * [backup-simplify]: Simplify (/ 1 (fabs im)) into (/ 1 (fabs im)) 14.207 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 14.207 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 14.207 * [taylor]: Taking taylor expansion of re in re 14.207 * [backup-simplify]: Simplify 0 into 0 14.207 * [backup-simplify]: Simplify 1 into 1 14.207 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 14.207 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 14.207 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.207 * [taylor]: Taking taylor expansion of re in re 14.207 * [backup-simplify]: Simplify 0 into 0 14.207 * [backup-simplify]: Simplify 1 into 1 14.207 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.207 * [taylor]: Taking taylor expansion of im in re 14.207 * [backup-simplify]: Simplify im into im 14.207 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.208 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 14.208 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 14.208 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 14.208 * [backup-simplify]: Simplify (+ 0 0) into 0 14.208 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 14.208 * [backup-simplify]: Simplify (+ 0 im) into im 14.209 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 14.209 * [backup-simplify]: Simplify (+ 1 0) into 1 14.209 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 14.209 * [taylor]: Taking taylor expansion of (* (/ 1 (fabs im)) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 14.209 * [taylor]: Taking taylor expansion of (/ 1 (fabs im)) in re 14.209 * [taylor]: Taking taylor expansion of (fabs im) in re 14.209 * [backup-simplify]: Simplify (fabs im) into (fabs im) 14.209 * [backup-simplify]: Simplify (/ 1 (fabs im)) into (/ 1 (fabs im)) 14.209 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 14.209 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 14.209 * [taylor]: Taking taylor expansion of re in re 14.209 * [backup-simplify]: Simplify 0 into 0 14.209 * [backup-simplify]: Simplify 1 into 1 14.209 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 14.210 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 14.210 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.210 * [taylor]: Taking taylor expansion of re in re 14.210 * [backup-simplify]: Simplify 0 into 0 14.210 * [backup-simplify]: Simplify 1 into 1 14.210 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.210 * [taylor]: Taking taylor expansion of im in re 14.210 * [backup-simplify]: Simplify im into im 14.210 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.210 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 14.210 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 14.210 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 14.211 * [backup-simplify]: Simplify (+ 0 0) into 0 14.211 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 14.211 * [backup-simplify]: Simplify (+ 0 im) into im 14.211 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 14.211 * [backup-simplify]: Simplify (+ 1 0) into 1 14.211 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 14.212 * [backup-simplify]: Simplify (* (/ 1 (fabs im)) (sqrt im)) into (* (/ 1 (fabs im)) (sqrt im)) 14.212 * [taylor]: Taking taylor expansion of (* (/ 1 (fabs im)) (sqrt im)) in im 14.212 * [taylor]: Taking taylor expansion of (/ 1 (fabs im)) in im 14.212 * [taylor]: Taking taylor expansion of (fabs im) in im 14.212 * [backup-simplify]: Simplify (fabs im) into (fabs im) 14.212 * [backup-simplify]: Simplify (/ 1 (fabs im)) into (/ 1 (fabs im)) 14.212 * [taylor]: Taking taylor expansion of (sqrt im) in im 14.212 * [taylor]: Taking taylor expansion of im in im 14.212 * [backup-simplify]: Simplify 0 into 0 14.212 * [backup-simplify]: Simplify 1 into 1 14.212 * [backup-simplify]: Simplify (sqrt 0) into 0 14.214 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 14.214 * [backup-simplify]: Simplify (* (/ 1 (fabs im)) 0) into 0 14.214 * [backup-simplify]: Simplify 0 into 0 14.214 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs im)) (/ 0 (fabs im))))) into 0 14.215 * [backup-simplify]: Simplify (+ (* (/ 1 (fabs im)) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (/ 1 (fabs im)) (sqrt (/ 1 im)))) 14.215 * [taylor]: Taking taylor expansion of (* 1/2 (* (/ 1 (fabs im)) (sqrt (/ 1 im)))) in im 14.215 * [taylor]: Taking taylor expansion of 1/2 in im 14.215 * [backup-simplify]: Simplify 1/2 into 1/2 14.215 * [taylor]: Taking taylor expansion of (* (/ 1 (fabs im)) (sqrt (/ 1 im))) in im 14.215 * [taylor]: Taking taylor expansion of (/ 1 (fabs im)) in im 14.215 * [taylor]: Taking taylor expansion of (fabs im) in im 14.215 * [backup-simplify]: Simplify (fabs im) into (fabs im) 14.215 * [backup-simplify]: Simplify (/ 1 (fabs im)) into (/ 1 (fabs im)) 14.215 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 14.215 * [taylor]: Taking taylor expansion of (/ 1 im) in im 14.215 * [taylor]: Taking taylor expansion of im in im 14.215 * [backup-simplify]: Simplify 0 into 0 14.215 * [backup-simplify]: Simplify 1 into 1 14.215 * [backup-simplify]: Simplify (/ 1 1) into 1 14.216 * [backup-simplify]: Simplify (sqrt 0) into 0 14.217 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 14.217 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs im)) (/ 0 (fabs im))))) into 0 14.217 * [backup-simplify]: Simplify (+ (* (/ 1 (fabs im)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (fabs im)))) 14.217 * [backup-simplify]: Simplify (* (/ 1 (fabs im)) 0) into 0 14.218 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (/ 1 (fabs im))))) (* 0 0)) into (- (* +nan.0 (/ 1 (fabs im)))) 14.218 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (fabs im)))) into (- (* +nan.0 (/ 1 (fabs im)))) 14.218 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs im)) (/ 0 (fabs im))))) into 0 14.218 * [backup-simplify]: Simplify (+ (* (/ 1 (fabs im)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (fabs im)))) 14.218 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (fabs im)))) into (- (* +nan.0 (/ 1 (fabs im)))) 14.219 * [backup-simplify]: Simplify (* 1 1) into 1 14.219 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 14.219 * [backup-simplify]: Simplify (+ 1 0) into 1 14.220 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 14.220 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 14.220 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 im)) (pow (* 1/2 (sqrt (/ 1 im))) 2) (+)) (* 2 (sqrt im))) into (* 1/8 (sqrt (/ 1 (pow im 3)))) 14.220 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs im)) (/ 0 (fabs im))) (* 0 (/ 0 (fabs im))))) into 0 14.221 * [backup-simplify]: Simplify (+ (* (/ 1 (fabs im)) (* 1/8 (sqrt (/ 1 (pow im 3))))) (+ (* 0 (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im)))) into (* 1/8 (* (/ 1 (fabs im)) (sqrt (/ 1 (pow im 3))))) 14.221 * [taylor]: Taking taylor expansion of (* 1/8 (* (/ 1 (fabs im)) (sqrt (/ 1 (pow im 3))))) in im 14.221 * [taylor]: Taking taylor expansion of 1/8 in im 14.221 * [backup-simplify]: Simplify 1/8 into 1/8 14.221 * [taylor]: Taking taylor expansion of (* (/ 1 (fabs im)) (sqrt (/ 1 (pow im 3)))) in im 14.221 * [taylor]: Taking taylor expansion of (/ 1 (fabs im)) in im 14.221 * [taylor]: Taking taylor expansion of (fabs im) in im 14.221 * [backup-simplify]: Simplify (fabs im) into (fabs im) 14.221 * [backup-simplify]: Simplify (/ 1 (fabs im)) into (/ 1 (fabs im)) 14.221 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 14.221 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 14.221 * [taylor]: Taking taylor expansion of (pow im 3) in im 14.221 * [taylor]: Taking taylor expansion of im in im 14.221 * [backup-simplify]: Simplify 0 into 0 14.221 * [backup-simplify]: Simplify 1 into 1 14.221 * [backup-simplify]: Simplify (* 1 1) into 1 14.221 * [backup-simplify]: Simplify (* 1 1) into 1 14.222 * [backup-simplify]: Simplify (/ 1 1) into 1 14.222 * [backup-simplify]: Simplify (sqrt 0) into 0 14.223 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 14.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.226 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 14.226 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs im)) (/ 0 (fabs im))))) into 0 14.226 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs im)) (/ 0 (fabs im))) (* 0 (/ 0 (fabs im))))) into 0 14.226 * [backup-simplify]: Simplify (+ (* (/ 1 (fabs im)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (fabs im)))) 14.227 * [backup-simplify]: Simplify (+ (* (/ 1 (fabs im)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (fabs im)))) 14.227 * [backup-simplify]: Simplify (* (/ 1 (fabs im)) 0) into 0 14.227 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (/ 1 (fabs im))))) (+ (* 0 (- (* +nan.0 (/ 1 (fabs im))))) (* 0 0))) into (- (* +nan.0 (/ 1 (fabs im)))) 14.227 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (fabs im)))) into (- (* +nan.0 (/ 1 (fabs im)))) 14.228 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (fabs im)))) (pow (* 1 re) 2)) (+ (* (- (* +nan.0 (/ 1 (fabs im)))) (* im 1)) (* (- (* +nan.0 (/ 1 (fabs im)))) (* 1 re)))) into (- (+ (* +nan.0 (/ im (fabs im))) (- (+ (* +nan.0 (/ (pow re 2) (fabs im))) (- (* +nan.0 (/ re (fabs im)))))))) 14.228 * [backup-simplify]: Simplify (/ (sqrt (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) (fabs (/ 1 im))) into (* (/ 1 (fabs (/ 1 im))) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) 14.228 * [approximate]: Taking taylor expansion of (* (/ 1 (fabs (/ 1 im))) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in (re im) around 0 14.228 * [taylor]: Taking taylor expansion of (* (/ 1 (fabs (/ 1 im))) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 14.228 * [taylor]: Taking taylor expansion of (/ 1 (fabs (/ 1 im))) in im 14.228 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im 14.228 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 14.228 * [backup-simplify]: Simplify (/ 1 (fabs (/ 1 im))) into (/ 1 (fabs (/ 1 im))) 14.228 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 14.228 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 14.228 * [taylor]: Taking taylor expansion of (/ 1 re) in im 14.228 * [taylor]: Taking taylor expansion of re in im 14.228 * [backup-simplify]: Simplify re into re 14.228 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 14.228 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 14.228 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 14.228 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 14.228 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.228 * [taylor]: Taking taylor expansion of im in im 14.228 * [backup-simplify]: Simplify 0 into 0 14.228 * [backup-simplify]: Simplify 1 into 1 14.229 * [backup-simplify]: Simplify (* 1 1) into 1 14.229 * [backup-simplify]: Simplify (/ 1 1) into 1 14.229 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 14.229 * [taylor]: Taking taylor expansion of (pow re 2) in im 14.229 * [taylor]: Taking taylor expansion of re in im 14.229 * [backup-simplify]: Simplify re into re 14.229 * [backup-simplify]: Simplify (* re re) into (pow re 2) 14.229 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 14.229 * [backup-simplify]: Simplify (+ 1 0) into 1 14.230 * [backup-simplify]: Simplify (sqrt 1) into 1 14.230 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.231 * [backup-simplify]: Simplify (+ 0 0) into 0 14.231 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.231 * [backup-simplify]: Simplify (+ 0 1) into 1 14.232 * [backup-simplify]: Simplify (sqrt 0) into 0 14.232 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 14.232 * [taylor]: Taking taylor expansion of (* (/ 1 (fabs (/ 1 im))) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 14.232 * [taylor]: Taking taylor expansion of (/ 1 (fabs (/ 1 im))) in re 14.232 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 14.232 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 14.233 * [backup-simplify]: Simplify (/ 1 (fabs (/ 1 im))) into (/ 1 (fabs (/ 1 im))) 14.233 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 14.233 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 14.233 * [taylor]: Taking taylor expansion of (/ 1 re) in re 14.233 * [taylor]: Taking taylor expansion of re in re 14.233 * [backup-simplify]: Simplify 0 into 0 14.233 * [backup-simplify]: Simplify 1 into 1 14.233 * [backup-simplify]: Simplify (/ 1 1) into 1 14.233 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 14.233 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 14.233 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 14.233 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.233 * [taylor]: Taking taylor expansion of im in re 14.233 * [backup-simplify]: Simplify im into im 14.233 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.233 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 14.233 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 14.233 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.233 * [taylor]: Taking taylor expansion of re in re 14.233 * [backup-simplify]: Simplify 0 into 0 14.233 * [backup-simplify]: Simplify 1 into 1 14.233 * [backup-simplify]: Simplify (* 1 1) into 1 14.234 * [backup-simplify]: Simplify (/ 1 1) into 1 14.234 * [backup-simplify]: Simplify (+ 0 1) into 1 14.234 * [backup-simplify]: Simplify (sqrt 1) into 1 14.235 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.235 * [backup-simplify]: Simplify (+ 0 0) into 0 14.236 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.239 * [backup-simplify]: Simplify (+ 1 1) into 2 14.240 * [backup-simplify]: Simplify (sqrt 0) into 0 14.240 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 14.240 * [taylor]: Taking taylor expansion of (* (/ 1 (fabs (/ 1 im))) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 14.240 * [taylor]: Taking taylor expansion of (/ 1 (fabs (/ 1 im))) in re 14.240 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 14.241 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 14.241 * [backup-simplify]: Simplify (/ 1 (fabs (/ 1 im))) into (/ 1 (fabs (/ 1 im))) 14.241 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 14.241 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 14.241 * [taylor]: Taking taylor expansion of (/ 1 re) in re 14.241 * [taylor]: Taking taylor expansion of re in re 14.241 * [backup-simplify]: Simplify 0 into 0 14.241 * [backup-simplify]: Simplify 1 into 1 14.241 * [backup-simplify]: Simplify (/ 1 1) into 1 14.241 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 14.241 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 14.241 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 14.241 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.241 * [taylor]: Taking taylor expansion of im in re 14.241 * [backup-simplify]: Simplify im into im 14.241 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.241 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 14.241 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 14.241 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.241 * [taylor]: Taking taylor expansion of re in re 14.241 * [backup-simplify]: Simplify 0 into 0 14.241 * [backup-simplify]: Simplify 1 into 1 14.242 * [backup-simplify]: Simplify (* 1 1) into 1 14.242 * [backup-simplify]: Simplify (/ 1 1) into 1 14.242 * [backup-simplify]: Simplify (+ 0 1) into 1 14.242 * [backup-simplify]: Simplify (sqrt 1) into 1 14.243 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.244 * [backup-simplify]: Simplify (+ 0 0) into 0 14.244 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.245 * [backup-simplify]: Simplify (+ 1 1) into 2 14.245 * [backup-simplify]: Simplify (sqrt 0) into 0 14.246 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 14.247 * [backup-simplify]: Simplify (* (/ 1 (fabs (/ 1 im))) 0) into 0 14.247 * [taylor]: Taking taylor expansion of 0 in im 14.247 * [backup-simplify]: Simplify 0 into 0 14.248 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (/ 1 im))) (/ 0 (fabs (/ 1 im)))))) into 0 14.248 * [backup-simplify]: Simplify (+ (* (/ 1 (fabs (/ 1 im))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (fabs (/ 1 im))))) 14.248 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (fabs (/ 1 im))))) in im 14.248 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (fabs (/ 1 im)))) in im 14.248 * [taylor]: Taking taylor expansion of +nan.0 in im 14.248 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.248 * [taylor]: Taking taylor expansion of (/ 1 (fabs (/ 1 im))) in im 14.248 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im 14.248 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 14.248 * [backup-simplify]: Simplify (/ 1 (fabs (/ 1 im))) into (/ 1 (fabs (/ 1 im))) 14.248 * [backup-simplify]: Simplify 0 into 0 14.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.250 * [backup-simplify]: Simplify (+ 0 0) into 0 14.253 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 14.253 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (/ 1 im))) (/ 0 (fabs (/ 1 im)))) (* 0 (/ 0 (fabs (/ 1 im)))))) into 0 14.254 * [backup-simplify]: Simplify (+ (* (/ 1 (fabs (/ 1 im))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (fabs (/ 1 im))))) 14.254 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (fabs (/ 1 im))))) in im 14.254 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (fabs (/ 1 im)))) in im 14.254 * [taylor]: Taking taylor expansion of +nan.0 in im 14.254 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.254 * [taylor]: Taking taylor expansion of (/ 1 (fabs (/ 1 im))) in im 14.254 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im 14.254 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 14.254 * [backup-simplify]: Simplify (/ 1 (fabs (/ 1 im))) into (/ 1 (fabs (/ 1 im))) 14.254 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (fabs (/ 1 im)))) into (/ +nan.0 (fabs (/ 1 im))) 14.254 * [backup-simplify]: Simplify (- (/ +nan.0 (fabs (/ 1 im)))) into (- (* +nan.0 (/ 1 (fabs (/ 1 im))))) 14.255 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (fabs (/ 1 im))))) into (- (* +nan.0 (/ 1 (fabs (/ 1 im))))) 14.255 * [backup-simplify]: Simplify 0 into 0 14.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.258 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 14.259 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 14.259 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 14.261 * [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)) 14.262 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (/ 1 im))) (/ 0 (fabs (/ 1 im)))) (* 0 (/ 0 (fabs (/ 1 im)))) (* 0 (/ 0 (fabs (/ 1 im)))))) into 0 14.263 * [backup-simplify]: Simplify (+ (* (/ 1 (fabs (/ 1 im))) (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (/ 1 (* (fabs (/ 1 im)) (pow im 2)))) (- (* +nan.0 (/ 1 (fabs (/ 1 im))))))) 14.263 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (fabs (/ 1 im)) (pow im 2)))) (- (* +nan.0 (/ 1 (fabs (/ 1 im))))))) in im 14.263 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (fabs (/ 1 im)) (pow im 2)))) (- (* +nan.0 (/ 1 (fabs (/ 1 im)))))) in im 14.263 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (* (fabs (/ 1 im)) (pow im 2)))) in im 14.263 * [taylor]: Taking taylor expansion of +nan.0 in im 14.263 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.263 * [taylor]: Taking taylor expansion of (/ 1 (* (fabs (/ 1 im)) (pow im 2))) in im 14.263 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (pow im 2)) in im 14.263 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im 14.263 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 14.263 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.263 * [taylor]: Taking taylor expansion of im in im 14.263 * [backup-simplify]: Simplify 0 into 0 14.263 * [backup-simplify]: Simplify 1 into 1 14.264 * [backup-simplify]: Simplify (* 1 1) into 1 14.264 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) 1) into (fabs (/ 1 im)) 14.264 * [backup-simplify]: Simplify (/ 1 (fabs (/ 1 im))) into (/ 1 (fabs (/ 1 im))) 14.264 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (fabs (/ 1 im))))) in im 14.264 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (fabs (/ 1 im)))) in im 14.264 * [taylor]: Taking taylor expansion of +nan.0 in im 14.264 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.264 * [taylor]: Taking taylor expansion of (/ 1 (fabs (/ 1 im))) in im 14.264 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im 14.264 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 14.264 * [backup-simplify]: Simplify (/ 1 (fabs (/ 1 im))) into (/ 1 (fabs (/ 1 im))) 14.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.266 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (* 0 1)) into 0 14.266 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (/ 1 im))) (/ 0 (fabs (/ 1 im)))))) into 0 14.266 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (fabs (/ 1 im))))) into 0 14.267 * [backup-simplify]: Simplify (+ 0 0) into 0 14.267 * [backup-simplify]: Simplify (- 0) into 0 14.267 * [backup-simplify]: Simplify 0 into 0 14.267 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (fabs (/ 1 im)))) into (/ +nan.0 (fabs (/ 1 im))) 14.268 * [backup-simplify]: Simplify (- (/ +nan.0 (fabs (/ 1 im)))) into (- (* +nan.0 (/ 1 (fabs (/ 1 im))))) 14.268 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (fabs (/ 1 im))))) into (- (* +nan.0 (/ 1 (fabs (/ 1 im))))) 14.268 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (/ 1 im))) (/ 0 (fabs (/ 1 im)))))) into 0 14.269 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (fabs (/ 1 im))))) into 0 14.269 * [backup-simplify]: Simplify (- 0) into 0 14.269 * [backup-simplify]: Simplify 0 into 0 14.269 * [backup-simplify]: Simplify 0 into 0 14.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.270 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 14.270 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 14.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.273 * [backup-simplify]: Simplify (+ 0 0) into 0 14.273 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 14.274 * [backup-simplify]: Simplify (+ 0 0) into 0 14.275 * [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))) 14.276 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (/ 1 im))) (/ 0 (fabs (/ 1 im)))) (* 0 (/ 0 (fabs (/ 1 im)))) (* 0 (/ 0 (fabs (/ 1 im)))) (* 0 (/ 0 (fabs (/ 1 im)))))) into 0 14.278 * [backup-simplify]: Simplify (+ (* (/ 1 (fabs (/ 1 im))) (* +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 (/ 1 (* (fabs (/ 1 im)) (pow im 2)))) (- (* +nan.0 (/ 1 (fabs (/ 1 im))))))) 14.278 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (fabs (/ 1 im)) (pow im 2)))) (- (* +nan.0 (/ 1 (fabs (/ 1 im))))))) in im 14.278 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (fabs (/ 1 im)) (pow im 2)))) (- (* +nan.0 (/ 1 (fabs (/ 1 im)))))) in im 14.278 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (* (fabs (/ 1 im)) (pow im 2)))) in im 14.278 * [taylor]: Taking taylor expansion of +nan.0 in im 14.278 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.278 * [taylor]: Taking taylor expansion of (/ 1 (* (fabs (/ 1 im)) (pow im 2))) in im 14.278 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (pow im 2)) in im 14.278 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im 14.278 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 14.278 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.278 * [taylor]: Taking taylor expansion of im in im 14.278 * [backup-simplify]: Simplify 0 into 0 14.278 * [backup-simplify]: Simplify 1 into 1 14.279 * [backup-simplify]: Simplify (* 1 1) into 1 14.279 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) 1) into (fabs (/ 1 im)) 14.279 * [backup-simplify]: Simplify (/ 1 (fabs (/ 1 im))) into (/ 1 (fabs (/ 1 im))) 14.279 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (fabs (/ 1 im))))) in im 14.279 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (fabs (/ 1 im)))) in im 14.279 * [taylor]: Taking taylor expansion of +nan.0 in im 14.279 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.279 * [taylor]: Taking taylor expansion of (/ 1 (fabs (/ 1 im))) in im 14.279 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im 14.279 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 14.279 * [backup-simplify]: Simplify (/ 1 (fabs (/ 1 im))) into (/ 1 (fabs (/ 1 im))) 14.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.280 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (* 0 1)) into 0 14.281 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (/ 1 im))) (/ 0 (fabs (/ 1 im)))))) into 0 14.281 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (fabs (/ 1 im))))) into 0 14.281 * [backup-simplify]: Simplify (+ 0 0) into 0 14.282 * [backup-simplify]: Simplify (- 0) into 0 14.282 * [backup-simplify]: Simplify 0 into 0 14.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.283 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (* 0 1))) into 0 14.284 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (/ 1 im))) (/ 0 (fabs (/ 1 im)))) (* 0 (/ 0 (fabs (/ 1 im)))))) into 0 14.285 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ 1 (fabs (/ 1 im)))))) into 0 14.285 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (fabs (/ 1 im)))) into (/ +nan.0 (fabs (/ 1 im))) 14.285 * [backup-simplify]: Simplify (- (/ +nan.0 (fabs (/ 1 im)))) into (- (* +nan.0 (/ 1 (fabs (/ 1 im))))) 14.285 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (/ 1 (fabs (/ 1 im)))))) into (- (* +nan.0 (/ 1 (fabs (/ 1 im))))) 14.286 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ 1 (fabs (/ 1 im)))))) into (- (* +nan.0 (/ 1 (fabs (/ 1 im))))) 14.286 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (fabs (/ 1 im))))) into (- (* +nan.0 (/ 1 (fabs (/ 1 im))))) 14.287 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (fabs (/ 1 (/ 1 im)))))) (pow (* 1 (/ 1 re)) 2)) (+ (* (- (* +nan.0 (/ 1 (fabs (/ 1 (/ 1 im)))))) (* 1 (/ 1 re))) (- (* +nan.0 (/ 1 (fabs (/ 1 (/ 1 im)))))))) into (- (+ (* +nan.0 (/ 1 (fabs im))) (- (+ (* +nan.0 (/ 1 (* (fabs im) re))) (- (* +nan.0 (/ 1 (* (fabs im) (pow re 2))))))))) 14.287 * [backup-simplify]: Simplify (/ (sqrt (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) (fabs (/ 1 (- im)))) into (* (/ 1 (fabs (/ -1 im))) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) 14.287 * [approximate]: Taking taylor expansion of (* (/ 1 (fabs (/ -1 im))) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in (re im) around 0 14.287 * [taylor]: Taking taylor expansion of (* (/ 1 (fabs (/ -1 im))) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 14.287 * [taylor]: Taking taylor expansion of (/ 1 (fabs (/ -1 im))) in im 14.287 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im 14.287 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 14.287 * [backup-simplify]: Simplify (/ 1 (fabs (/ -1 im))) into (/ 1 (fabs (/ -1 im))) 14.287 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 14.287 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 14.287 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 14.288 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 14.288 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 14.288 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.288 * [taylor]: Taking taylor expansion of im in im 14.288 * [backup-simplify]: Simplify 0 into 0 14.288 * [backup-simplify]: Simplify 1 into 1 14.288 * [backup-simplify]: Simplify (* 1 1) into 1 14.288 * [backup-simplify]: Simplify (/ 1 1) into 1 14.289 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 14.289 * [taylor]: Taking taylor expansion of (pow re 2) in im 14.289 * [taylor]: Taking taylor expansion of re in im 14.289 * [backup-simplify]: Simplify re into re 14.289 * [backup-simplify]: Simplify (* re re) into (pow re 2) 14.289 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 14.289 * [backup-simplify]: Simplify (+ 1 0) into 1 14.290 * [backup-simplify]: Simplify (sqrt 1) into 1 14.290 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.291 * [backup-simplify]: Simplify (+ 0 0) into 0 14.292 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.292 * [taylor]: Taking taylor expansion of (/ 1 re) in im 14.292 * [taylor]: Taking taylor expansion of re in im 14.292 * [backup-simplify]: Simplify re into re 14.292 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 14.293 * [backup-simplify]: Simplify (+ 1 0) into 1 14.293 * [backup-simplify]: Simplify (sqrt 0) into 0 14.295 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 14.295 * [taylor]: Taking taylor expansion of (* (/ 1 (fabs (/ -1 im))) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 14.295 * [taylor]: Taking taylor expansion of (/ 1 (fabs (/ -1 im))) in re 14.295 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 14.295 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 14.295 * [backup-simplify]: Simplify (/ 1 (fabs (/ -1 im))) into (/ 1 (fabs (/ -1 im))) 14.295 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 14.295 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 14.295 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 14.295 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 14.295 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 14.295 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.295 * [taylor]: Taking taylor expansion of im in re 14.295 * [backup-simplify]: Simplify im into im 14.295 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.295 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 14.296 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 14.296 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.296 * [taylor]: Taking taylor expansion of re in re 14.296 * [backup-simplify]: Simplify 0 into 0 14.296 * [backup-simplify]: Simplify 1 into 1 14.296 * [backup-simplify]: Simplify (* 1 1) into 1 14.296 * [backup-simplify]: Simplify (/ 1 1) into 1 14.297 * [backup-simplify]: Simplify (+ 0 1) into 1 14.297 * [backup-simplify]: Simplify (sqrt 1) into 1 14.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.299 * [backup-simplify]: Simplify (+ 0 0) into 0 14.300 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.300 * [taylor]: Taking taylor expansion of (/ 1 re) in re 14.300 * [taylor]: Taking taylor expansion of re in re 14.300 * [backup-simplify]: Simplify 0 into 0 14.300 * [backup-simplify]: Simplify 1 into 1 14.300 * [backup-simplify]: Simplify (/ 1 1) into 1 14.301 * [backup-simplify]: Simplify (- 1) into -1 14.301 * [backup-simplify]: Simplify (+ 1 -1) into 0 14.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.302 * [backup-simplify]: Simplify (- 0) into 0 14.302 * [backup-simplify]: Simplify (+ 0 0) into 0 14.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.304 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 14.306 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 14.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.307 * [backup-simplify]: Simplify (- 0) into 0 14.307 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 14.308 * [backup-simplify]: Simplify (sqrt 0) into 0 14.308 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 14.308 * [taylor]: Taking taylor expansion of (* (/ 1 (fabs (/ -1 im))) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 14.308 * [taylor]: Taking taylor expansion of (/ 1 (fabs (/ -1 im))) in re 14.308 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 14.309 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 14.309 * [backup-simplify]: Simplify (/ 1 (fabs (/ -1 im))) into (/ 1 (fabs (/ -1 im))) 14.309 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 14.309 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 14.309 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 14.309 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 14.309 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 14.309 * [taylor]: Taking taylor expansion of (pow im 2) in re 14.309 * [taylor]: Taking taylor expansion of im in re 14.309 * [backup-simplify]: Simplify im into im 14.309 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.309 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 14.309 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 14.309 * [taylor]: Taking taylor expansion of (pow re 2) in re 14.309 * [taylor]: Taking taylor expansion of re in re 14.309 * [backup-simplify]: Simplify 0 into 0 14.309 * [backup-simplify]: Simplify 1 into 1 14.310 * [backup-simplify]: Simplify (* 1 1) into 1 14.310 * [backup-simplify]: Simplify (/ 1 1) into 1 14.310 * [backup-simplify]: Simplify (+ 0 1) into 1 14.311 * [backup-simplify]: Simplify (sqrt 1) into 1 14.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.312 * [backup-simplify]: Simplify (+ 0 0) into 0 14.313 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.313 * [taylor]: Taking taylor expansion of (/ 1 re) in re 14.313 * [taylor]: Taking taylor expansion of re in re 14.313 * [backup-simplify]: Simplify 0 into 0 14.313 * [backup-simplify]: Simplify 1 into 1 14.313 * [backup-simplify]: Simplify (/ 1 1) into 1 14.314 * [backup-simplify]: Simplify (- 1) into -1 14.314 * [backup-simplify]: Simplify (+ 1 -1) into 0 14.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.315 * [backup-simplify]: Simplify (- 0) into 0 14.316 * [backup-simplify]: Simplify (+ 0 0) into 0 14.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.318 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 14.319 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 14.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.320 * [backup-simplify]: Simplify (- 0) into 0 14.321 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 14.321 * [backup-simplify]: Simplify (sqrt 0) into 0 14.322 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 14.322 * [backup-simplify]: Simplify (* (/ 1 (fabs (/ -1 im))) 0) into 0 14.322 * [taylor]: Taking taylor expansion of 0 in im 14.322 * [backup-simplify]: Simplify 0 into 0 14.323 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (/ -1 im))) (/ 0 (fabs (/ -1 im)))))) into 0 14.323 * [backup-simplify]: Simplify (+ (* (/ 1 (fabs (/ -1 im))) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ 1 (* (fabs (/ -1 im)) (pow im 2))))) 14.323 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (fabs (/ -1 im)) (pow im 2))))) in im 14.323 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (* (fabs (/ -1 im)) (pow im 2)))) in im 14.323 * [taylor]: Taking taylor expansion of +nan.0 in im 14.323 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.323 * [taylor]: Taking taylor expansion of (/ 1 (* (fabs (/ -1 im)) (pow im 2))) in im 14.323 * [taylor]: Taking taylor expansion of (* (fabs (/ -1 im)) (pow im 2)) in im 14.324 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im 14.324 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 14.324 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.324 * [taylor]: Taking taylor expansion of im in im 14.324 * [backup-simplify]: Simplify 0 into 0 14.324 * [backup-simplify]: Simplify 1 into 1 14.324 * [backup-simplify]: Simplify (* 1 1) into 1 14.324 * [backup-simplify]: Simplify (* (fabs (/ -1 im)) 1) into (fabs (/ -1 im)) 14.324 * [backup-simplify]: Simplify (/ 1 (fabs (/ -1 im))) into (/ 1 (fabs (/ -1 im))) 14.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.325 * [backup-simplify]: Simplify (+ (* (fabs (/ -1 im)) 0) (* 0 1)) into 0 14.326 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (/ -1 im))) (/ 0 (fabs (/ -1 im)))))) into 0 14.326 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (fabs (/ -1 im))))) into 0 14.327 * [backup-simplify]: Simplify (- 0) into 0 14.327 * [backup-simplify]: Simplify 0 into 0 14.327 * [backup-simplify]: Simplify 0 into 0 14.327 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 14.327 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 14.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.329 * [backup-simplify]: Simplify (+ 0 0) into 0 14.330 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 14.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.331 * [backup-simplify]: Simplify (- 0) into 0 14.331 * [backup-simplify]: Simplify (+ 0 0) into 0 14.333 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 14.333 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (/ -1 im))) (/ 0 (fabs (/ -1 im)))) (* 0 (/ 0 (fabs (/ -1 im)))))) into 0 14.334 * [backup-simplify]: Simplify (+ (* (/ 1 (fabs (/ -1 im))) (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0))) into (- (* +nan.0 (/ 1 (* (fabs (/ -1 im)) (pow im 4))))) 14.334 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (fabs (/ -1 im)) (pow im 4))))) in im 14.334 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (* (fabs (/ -1 im)) (pow im 4)))) in im 14.334 * [taylor]: Taking taylor expansion of +nan.0 in im 14.334 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.334 * [taylor]: Taking taylor expansion of (/ 1 (* (fabs (/ -1 im)) (pow im 4))) in im 14.334 * [taylor]: Taking taylor expansion of (* (fabs (/ -1 im)) (pow im 4)) in im 14.334 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im 14.334 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 14.334 * [taylor]: Taking taylor expansion of (pow im 4) in im 14.334 * [taylor]: Taking taylor expansion of im in im 14.334 * [backup-simplify]: Simplify 0 into 0 14.334 * [backup-simplify]: Simplify 1 into 1 14.334 * [backup-simplify]: Simplify (* 1 1) into 1 14.335 * [backup-simplify]: Simplify (* 1 1) into 1 14.335 * [backup-simplify]: Simplify (* (fabs (/ -1 im)) 1) into (fabs (/ -1 im)) 14.335 * [backup-simplify]: Simplify (/ 1 (fabs (/ -1 im))) into (/ 1 (fabs (/ -1 im))) 14.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.341 * [backup-simplify]: Simplify (+ (* (fabs (/ -1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.341 * [backup-simplify]: Simplify (+ (* (fabs (/ -1 im)) 0) (* 0 1)) into 0 14.341 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (/ -1 im))) (/ 0 (fabs (/ -1 im)))))) into 0 14.342 * [backup-simplify]: Simplify (+ (* (fabs (/ -1 im)) 0) (+ (* 0 0) (* 0 1))) into 0 14.342 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (/ -1 im))) (/ 0 (fabs (/ -1 im)))) (* 0 (/ 0 (fabs (/ -1 im)))))) into 0 14.343 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (/ -1 im))) (/ 0 (fabs (/ -1 im)))) (* 0 (/ 0 (fabs (/ -1 im)))) (* 0 (/ 0 (fabs (/ -1 im)))))) into 0 14.344 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (fabs (/ -1 im))))))) into 0 14.344 * [backup-simplify]: Simplify (- 0) into 0 14.344 * [backup-simplify]: Simplify 0 into 0 14.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.346 * [backup-simplify]: Simplify (+ (* (fabs (/ -1 im)) 0) (+ (* 0 0) (* 0 1))) into 0 14.347 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (/ -1 im))) (/ 0 (fabs (/ -1 im)))) (* 0 (/ 0 (fabs (/ -1 im)))))) into 0 14.348 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ 1 (fabs (/ -1 im)))))) into 0 14.348 * [backup-simplify]: Simplify (- 0) into 0 14.348 * [backup-simplify]: Simplify 0 into 0 14.348 * [backup-simplify]: Simplify 0 into 0 14.349 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 14.349 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 14.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.352 * [backup-simplify]: Simplify (+ 0 0) into 0 14.353 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 14.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.354 * [backup-simplify]: Simplify (- 0) into 0 14.354 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 14.356 * [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)))))) 14.356 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (/ -1 im))) (/ 0 (fabs (/ -1 im)))) (* 0 (/ 0 (fabs (/ -1 im)))) (* 0 (/ 0 (fabs (/ -1 im)))))) into 0 14.357 * [backup-simplify]: Simplify (+ (* (/ 1 (fabs (/ -1 im))) (* +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 (/ 1 (* (fabs (/ -1 im)) (pow im 4)))) (- (* +nan.0 (/ 1 (* (fabs (/ -1 im)) (pow im 6))))))) 14.357 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (fabs (/ -1 im)) (pow im 4)))) (- (* +nan.0 (/ 1 (* (fabs (/ -1 im)) (pow im 6))))))) in im 14.358 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (fabs (/ -1 im)) (pow im 4)))) (- (* +nan.0 (/ 1 (* (fabs (/ -1 im)) (pow im 6)))))) in im 14.358 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (* (fabs (/ -1 im)) (pow im 4)))) in im 14.358 * [taylor]: Taking taylor expansion of +nan.0 in im 14.358 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.358 * [taylor]: Taking taylor expansion of (/ 1 (* (fabs (/ -1 im)) (pow im 4))) in im 14.358 * [taylor]: Taking taylor expansion of (* (fabs (/ -1 im)) (pow im 4)) in im 14.358 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im 14.358 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 14.358 * [taylor]: Taking taylor expansion of (pow im 4) in im 14.358 * [taylor]: Taking taylor expansion of im in im 14.358 * [backup-simplify]: Simplify 0 into 0 14.358 * [backup-simplify]: Simplify 1 into 1 14.358 * [backup-simplify]: Simplify (* 1 1) into 1 14.359 * [backup-simplify]: Simplify (* 1 1) into 1 14.359 * [backup-simplify]: Simplify (* (fabs (/ -1 im)) 1) into (fabs (/ -1 im)) 14.359 * [backup-simplify]: Simplify (/ 1 (fabs (/ -1 im))) into (/ 1 (fabs (/ -1 im))) 14.359 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (fabs (/ -1 im)) (pow im 6))))) in im 14.359 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (* (fabs (/ -1 im)) (pow im 6)))) in im 14.359 * [taylor]: Taking taylor expansion of +nan.0 in im 14.359 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.359 * [taylor]: Taking taylor expansion of (/ 1 (* (fabs (/ -1 im)) (pow im 6))) in im 14.359 * [taylor]: Taking taylor expansion of (* (fabs (/ -1 im)) (pow im 6)) in im 14.359 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im 14.359 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 14.359 * [taylor]: Taking taylor expansion of (pow im 6) in im 14.359 * [taylor]: Taking taylor expansion of im in im 14.359 * [backup-simplify]: Simplify 0 into 0 14.359 * [backup-simplify]: Simplify 1 into 1 14.360 * [backup-simplify]: Simplify (* 1 1) into 1 14.360 * [backup-simplify]: Simplify (* 1 1) into 1 14.360 * [backup-simplify]: Simplify (* 1 1) into 1 14.360 * [backup-simplify]: Simplify (* (fabs (/ -1 im)) 1) into (fabs (/ -1 im)) 14.361 * [backup-simplify]: Simplify (/ 1 (fabs (/ -1 im))) into (/ 1 (fabs (/ -1 im))) 14.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.362 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.366 * [backup-simplify]: Simplify (+ (* (fabs (/ -1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.366 * [backup-simplify]: Simplify (+ (* (fabs (/ -1 im)) 0) (* 0 1)) into 0 14.367 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (/ -1 im))) (/ 0 (fabs (/ -1 im)))))) into 0 14.367 * [backup-simplify]: Simplify (+ (* (fabs (/ -1 im)) 0) (+ (* 0 0) (* 0 1))) into 0 14.368 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (/ -1 im))) (/ 0 (fabs (/ -1 im)))) (* 0 (/ 0 (fabs (/ -1 im)))))) into 0 14.368 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (/ -1 im))) (/ 0 (fabs (/ -1 im)))) (* 0 (/ 0 (fabs (/ -1 im)))) (* 0 (/ 0 (fabs (/ -1 im)))))) into 0 14.369 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (fabs (/ -1 im))))))) into 0 14.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 14.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.374 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 14.376 * 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(* re re) (* im im))) re))) im re (* -1 re) (+ re im) (* 2 re) 0 (- (+ (* +nan.0 (* (fabs im) (* (sqrt 2.0) re))) (- (+ (* +nan.0 (* (fabs im) (* (sqrt 2.0) im))) (- (* +nan.0 (* (fabs im) (sqrt 2.0)))))))) (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) re)) (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow re 2))) (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow re 3)))))))) (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow re 2))) (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow im 2)))))) (- (+ (* +nan.0 (/ im (fabs im))) (- (+ (* +nan.0 (/ (pow re 2) (fabs im))) (- (* +nan.0 (/ re (fabs im)))))))) (- (+ (* +nan.0 (/ 1 (fabs im))) (- (+ (* +nan.0 (/ 1 (* (fabs im) re))) (- (* +nan.0 (/ 1 (* (fabs im) (pow re 2))))))))) 0 14.430 * * [simplify]: Extracting # 0 : cost 0 14.431 * * [simplify]: Extracting # 1 : cost 0 14.432 * * [simplify]: Extracting # 2 : cost 0 14.433 * * [simplify]: Extracting # 3 : cost 0 14.434 * * [simplify]: Extracting # 4 : cost 0 14.435 * * [simplify]: Extracting # 5 : cost 0 14.437 * * [simplify]: Extracting # 6 : cost 0 14.438 * * [simplify]: Extracting # 7 : cost 0 14.439 * * [simplify]: Extracting # 8 : cost 0 14.440 * * [simplify]: Extracting # 9 : cost 0 14.441 * * [simplify]: Extracting # 10 : cost 0 14.442 * * [simplify]: Extracting # 11 : cost 0 14.443 * * [simplify]: Extracting # 12 : cost 0 14.445 * * [simplify]: Extracting # 13 : cost 0 14.446 * * [simplify]: iteration 0 : 375 enodes (cost 8428 ) 14.656 * * [simplify]: Extracting # 0 : cost 0 14.657 * * [simplify]: Extracting # 1 : cost 0 14.658 * * [simplify]: Extracting # 2 : cost 0 14.659 * * [simplify]: Extracting # 3 : cost 0 14.660 * * [simplify]: Extracting # 4 : cost 0 14.661 * * [simplify]: iteration 1 : 842 enodes (cost 7587 ) 15.018 * * [simplify]: Extracting # 0 : cost 0 15.021 * * [simplify]: Extracting # 1 : cost 0 15.024 * * [simplify]: Extracting # 2 : cost 0 15.027 * * [simplify]: Extracting # 3 : cost 0 15.030 * * [simplify]: Extracting # 4 : cost 0 15.033 * * [simplify]: iteration 2 : 2490 enodes (cost 7378 ) 15.998 * * [simplify]: Extracting # 0 : cost 0 16.004 * * [simplify]: Extracting # 1 : cost 0 16.009 * * [simplify]: Extracting # 2 : cost 0 16.015 * * [simplify]: Extracting # 3 : cost 0 16.020 * * [simplify]: Extracting # 4 : cost 0 16.025 * * [simplify]: iteration done: 5000 enodes (cost 7347 ) 16.028 * [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)))) 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(/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (fabs im))) 1 (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (fabs im)) (/ (sqrt (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))) (sqrt (fabs im))) (/ (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (fabs im))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (fabs im)) (/ (/ 1 (cbrt (fabs im))) (cbrt (fabs im))) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (fabs im))) (/ 1 (sqrt (fabs im))) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (fabs im))) 1 (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (fabs im)) (/ 1 (fabs im)) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (fabs im)) (cbrt (fabs im)))) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (fabs im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (/ (fabs im) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt (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 (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (* (fabs im) (sqrt (+ (* re (+ re (- re (sqrt (+ (* re re) (* im im)))))) (* im im)))) (* (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) im re (- re) (+ re im) (* 2 re) 0 (* (* +nan.0 (fabs im)) (+ (* (sqrt 2.0) (- im 1)) (- (* (sqrt 2.0) re)))) (* +nan.0 (+ (- (/ (* (fabs im) (sqrt 2.0)) re)) (* (/ (fabs im) (* re re)) (- (sqrt 2.0) (/ (sqrt 2.0) re))))) (* (- +nan.0) (* (sqrt 2.0) (- (/ (fabs im) (* re re)) (/ (fabs im) (* im im))))) (* +nan.0 (+ (- (/ (pow re 2) (fabs im)) (/ re (fabs im))) (- (/ im (fabs im))))) (+ (/ (- +nan.0) (fabs im)) (* (/ 1 (fabs im)) (- (/ +nan.0 re) (/ +nan.0 (* re re))))) 0 16.031 * * * [progress]: adding candidates to table 16.943 * [progress]: [Phase 3 of 3] Extracting. 16.944 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 16.947 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re) 16.948 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # # # #) 17.068 * * * * [regimes]: Trying to branch on (* im im) from (# # # #) 17.128 * * * * [regimes]: Trying to branch on im from (# # # # # # # # # #) 17.272 * * * * [regimes]: Trying to branch on re from (# # # # # # # # # #) 17.393 * * * [regime]: Found split indices: #