1.087 * [progress]: [Phase 1 of 3] Setting up. 0.004 * * * [progress]: [1/2] Preparing points 0.127 * * * [progress]: [2/2] Setting up program. 0.131 * [progress]: [Phase 2 of 3] Improving. 0.134 * [simplify]: Simplifying: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.135 * * [simplify]: Extracting # 0 : cost 0 0.135 * * [simplify]: Extracting # 1 : cost 0 0.135 * * [simplify]: Extracting # 2 : cost 0 0.135 * * [simplify]: Extracting # 3 : cost 0 0.135 * * [simplify]: Extracting # 4 : cost 0 0.135 * * [simplify]: Extracting # 5 : cost 0 0.135 * * [simplify]: Extracting # 6 : cost 0 0.135 * * [simplify]: Extracting # 7 : cost 0 0.135 * * [simplify]: Extracting # 8 : cost 0 0.135 * * [simplify]: iteration 0 : 12 enodes (cost 15 ) 0.140 * * [simplify]: Extracting # 0 : cost 0 0.140 * * [simplify]: Extracting # 1 : cost 0 0.141 * * [simplify]: Extracting # 2 : cost 0 0.141 * * [simplify]: iteration 1 : 17 enodes (cost 15 ) 0.180 * * [simplify]: Extracting # 0 : cost 0 0.181 * * [simplify]: Extracting # 1 : cost 0 0.181 * * [simplify]: Extracting # 2 : cost 0 0.181 * * [simplify]: iteration 2 : 24 enodes (cost 15 ) 0.190 * * [simplify]: Extracting # 0 : cost 0 0.190 * * [simplify]: Extracting # 1 : cost 0 0.190 * * [simplify]: Extracting # 2 : cost 0 0.190 * * [simplify]: iteration 3 : 30 enodes (cost 15 ) 0.196 * * [simplify]: Extracting # 0 : cost 0 0.197 * * [simplify]: Extracting # 1 : cost 0 0.197 * * [simplify]: Extracting # 2 : cost 0 0.197 * * [simplify]: iteration 4 : 35 enodes (cost 15 ) 0.202 * * [simplify]: Extracting # 0 : cost 0 0.202 * * [simplify]: iteration done: 35 enodes (cost 15 ) 0.202 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.204 * * [progress]: iteration 1 / 4 0.204 * * * [progress]: picking best candidate 0.207 * * * * [pick]: Picked # 0.207 * * * [progress]: localizing error 0.228 * * * [progress]: generating rewritten candidates 0.228 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 0.248 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.321 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1) 0.329 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.370 * * * [progress]: generating series expansions 0.370 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 0.376 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.376 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.377 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.377 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.377 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.377 * [taylor]: Taking taylor expansion of re in im 0.377 * [backup-simplify]: Simplify re into re 0.377 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.377 * [taylor]: Taking taylor expansion of im in im 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 1 into 1 0.377 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.378 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.378 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.378 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.379 * [backup-simplify]: Simplify (+ 0 0) into 0 0.379 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.379 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.379 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.379 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.379 * [taylor]: Taking taylor expansion of re in re 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify 1 into 1 0.379 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.379 * [taylor]: Taking taylor expansion of im in re 0.379 * [backup-simplify]: Simplify im into im 0.379 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.379 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.379 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.379 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.379 * [backup-simplify]: Simplify (+ 0 0) into 0 0.380 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.380 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.380 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.380 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.380 * [taylor]: Taking taylor expansion of re in re 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 1 into 1 0.380 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.380 * [taylor]: Taking taylor expansion of im in re 0.380 * [backup-simplify]: Simplify im into im 0.380 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.380 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.380 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.380 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.380 * [backup-simplify]: Simplify (+ 0 0) into 0 0.380 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.381 * [taylor]: Taking taylor expansion of im in im 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify 1 into 1 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [taylor]: Taking taylor expansion of 0 in im 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify 1 into 1 0.382 * [backup-simplify]: Simplify (* 1 1) into 1 0.382 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.382 * [backup-simplify]: Simplify (+ 1 0) into 1 0.383 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.383 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.383 * [taylor]: Taking taylor expansion of 1/2 in im 0.383 * [backup-simplify]: Simplify 1/2 into 1/2 0.383 * [taylor]: Taking taylor expansion of im in im 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify 1 into 1 0.383 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.384 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.385 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.390 * [backup-simplify]: Simplify (+ 0 0) into 0 0.390 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.390 * [taylor]: Taking taylor expansion of 0 in im 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.391 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.391 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.391 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.391 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.391 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.391 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.391 * [taylor]: Taking taylor expansion of (pow im 2) in im 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 0.392 * [backup-simplify]: Simplify (* 1 1) into 1 0.392 * [backup-simplify]: Simplify (/ 1 1) into 1 0.392 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.392 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.392 * [taylor]: Taking taylor expansion of re in im 0.392 * [backup-simplify]: Simplify re into re 0.392 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.392 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.393 * [backup-simplify]: Simplify (+ 1 0) into 1 0.393 * [backup-simplify]: Simplify (sqrt 1) into 1 0.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.394 * [backup-simplify]: Simplify (+ 0 0) into 0 0.395 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.395 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.395 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.395 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.395 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.395 * [taylor]: Taking taylor expansion of im in re 0.395 * [backup-simplify]: Simplify im into im 0.395 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.395 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.395 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.395 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.395 * [taylor]: Taking taylor expansion of re in re 0.395 * [backup-simplify]: Simplify 0 into 0 0.395 * [backup-simplify]: Simplify 1 into 1 0.395 * [backup-simplify]: Simplify (* 1 1) into 1 0.396 * [backup-simplify]: Simplify (/ 1 1) into 1 0.396 * [backup-simplify]: Simplify (+ 0 1) into 1 0.396 * [backup-simplify]: Simplify (sqrt 1) into 1 0.396 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.397 * [backup-simplify]: Simplify (+ 0 0) into 0 0.398 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.398 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.398 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.398 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.398 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.398 * [taylor]: Taking taylor expansion of im in re 0.398 * [backup-simplify]: Simplify im into im 0.398 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.398 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.398 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.398 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.398 * [taylor]: Taking taylor expansion of re in re 0.398 * [backup-simplify]: Simplify 0 into 0 0.398 * [backup-simplify]: Simplify 1 into 1 0.398 * [backup-simplify]: Simplify (* 1 1) into 1 0.398 * [backup-simplify]: Simplify (/ 1 1) into 1 0.399 * [backup-simplify]: Simplify (+ 0 1) into 1 0.399 * [backup-simplify]: Simplify (sqrt 1) into 1 0.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.401 * [backup-simplify]: Simplify (+ 0 0) into 0 0.401 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.402 * [taylor]: Taking taylor expansion of 1 in im 0.402 * [backup-simplify]: Simplify 1 into 1 0.402 * [taylor]: Taking taylor expansion of 0 in im 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify 1 into 1 0.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.404 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.406 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.406 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.406 * [taylor]: Taking taylor expansion of 1/2 in im 0.406 * [backup-simplify]: Simplify 1/2 into 1/2 0.406 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.406 * [taylor]: Taking taylor expansion of im in im 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify 1 into 1 0.406 * [backup-simplify]: Simplify (* 1 1) into 1 0.407 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.408 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.409 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.410 * [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 0.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.414 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.415 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.415 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.415 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.415 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.415 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.415 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.415 * [taylor]: Taking taylor expansion of im in im 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 1 into 1 0.415 * [backup-simplify]: Simplify (* 1 1) into 1 0.416 * [backup-simplify]: Simplify (/ 1 1) into 1 0.416 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.416 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.416 * [taylor]: Taking taylor expansion of re in im 0.416 * [backup-simplify]: Simplify re into re 0.416 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.416 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.416 * [backup-simplify]: Simplify (+ 1 0) 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 0.419 * [backup-simplify]: Simplify (+ 0 0) into 0 0.419 * [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 0.420 * [backup-simplify]: Simplify (* 1 1) into 1 0.420 * [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 0.421 * [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 0.422 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.422 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.422 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.422 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.422 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.422 * [taylor]: Taking taylor expansion of im in re 0.422 * [backup-simplify]: Simplify im into im 0.422 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.422 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.422 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.422 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.422 * [taylor]: Taking taylor expansion of re in re 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify 1 into 1 0.423 * [backup-simplify]: Simplify (* 1 1) into 1 0.423 * [backup-simplify]: Simplify (/ 1 1) into 1 0.423 * [backup-simplify]: Simplify (+ 0 1) into 1 0.423 * [backup-simplify]: Simplify (sqrt 1) into 1 0.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.424 * [backup-simplify]: Simplify (+ 0 0) into 0 0.425 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.425 * [taylor]: Taking taylor expansion of 1 in im 0.425 * [backup-simplify]: Simplify 1 into 1 0.425 * [taylor]: Taking taylor expansion of 0 in im 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify 1 into 1 0.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.426 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.427 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.427 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.427 * [taylor]: Taking taylor expansion of 1/2 in im 0.427 * [backup-simplify]: Simplify 1/2 into 1/2 0.427 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.427 * [taylor]: Taking taylor expansion of im in im 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify 1 into 1 0.428 * [backup-simplify]: Simplify (* 1 1) into 1 0.428 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.429 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.430 * [backup-simplify]: Simplify (+ 0 0) into 0 0.431 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.431 * [taylor]: Taking taylor expansion of 0 in im 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.432 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.432 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.432 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 0.433 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 0.433 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.433 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.433 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.433 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.433 * [taylor]: Taking taylor expansion of re in im 0.433 * [backup-simplify]: Simplify re into re 0.433 * [taylor]: Taking taylor expansion of (pow im 2) 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 0.433 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.433 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.433 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.433 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.433 * [backup-simplify]: Simplify (+ 0 0) into 0 0.433 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.433 * [taylor]: Taking taylor expansion of re in im 0.433 * [backup-simplify]: Simplify re into re 0.433 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.433 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.433 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.433 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.433 * [taylor]: Taking taylor expansion of re in re 0.434 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify 1 into 1 0.434 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.434 * [taylor]: Taking taylor expansion of im in re 0.434 * [backup-simplify]: Simplify im into im 0.434 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.434 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.434 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.434 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.434 * [backup-simplify]: Simplify (+ 0 0) into 0 0.434 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.434 * [taylor]: Taking taylor expansion of re in re 0.434 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify 1 into 1 0.434 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.434 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.434 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.434 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.434 * [taylor]: Taking taylor expansion of re in re 0.434 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify 1 into 1 0.434 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.434 * [taylor]: Taking taylor expansion of im in re 0.434 * [backup-simplify]: Simplify im into im 0.434 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.435 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.435 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.435 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.435 * [backup-simplify]: Simplify (+ 0 0) into 0 0.435 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.435 * [taylor]: Taking taylor expansion of re in re 0.435 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify 1 into 1 0.435 * [backup-simplify]: Simplify (- 0) into 0 0.435 * [backup-simplify]: Simplify (+ im 0) into im 0.436 * [taylor]: Taking taylor expansion of im in im 0.436 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify 1 into 1 0.436 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify (- 1) into -1 0.436 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.436 * [taylor]: Taking taylor expansion of -1 in im 0.436 * [backup-simplify]: Simplify -1 into -1 0.436 * [backup-simplify]: Simplify -1 into -1 0.436 * [backup-simplify]: Simplify 1 into 1 0.436 * [backup-simplify]: Simplify (* 1 1) into 1 0.437 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.437 * [backup-simplify]: Simplify (+ 1 0) into 1 0.437 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.438 * [backup-simplify]: Simplify (- 0) into 0 0.438 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 0.438 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.438 * [taylor]: Taking taylor expansion of 1/2 in im 0.438 * [backup-simplify]: Simplify 1/2 into 1/2 0.438 * [taylor]: Taking taylor expansion of (/ 1 im) 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 0.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.439 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.440 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.440 * [backup-simplify]: Simplify (+ 0 0) into 0 0.440 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.441 * [backup-simplify]: Simplify (- 0) into 0 0.441 * [backup-simplify]: Simplify (+ 0 0) into 0 0.441 * [taylor]: Taking taylor expansion of 0 in im 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.442 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 0.443 * [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)) 0.443 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.443 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.443 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.443 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.443 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.443 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.443 * [taylor]: Taking taylor expansion of im in im 0.443 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify 1 into 1 0.443 * [backup-simplify]: Simplify (* 1 1) into 1 0.443 * [backup-simplify]: Simplify (/ 1 1) into 1 0.443 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.443 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.443 * [taylor]: Taking taylor expansion of re in im 0.443 * [backup-simplify]: Simplify re into re 0.443 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.444 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.444 * [backup-simplify]: Simplify (+ 1 0) into 1 0.444 * [backup-simplify]: Simplify (sqrt 1) into 1 0.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.445 * [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 im 0.446 * [taylor]: Taking taylor expansion of re in im 0.446 * [backup-simplify]: Simplify re into re 0.446 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.446 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.446 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.446 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.446 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.446 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.446 * [taylor]: Taking taylor expansion of im in re 0.446 * [backup-simplify]: Simplify im into im 0.446 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.446 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.446 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.446 * [taylor]: Taking taylor expansion of (pow re 2) 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 0.446 * [backup-simplify]: Simplify (* 1 1) into 1 0.447 * [backup-simplify]: Simplify (/ 1 1) into 1 0.447 * [backup-simplify]: Simplify (+ 0 1) into 1 0.447 * [backup-simplify]: Simplify (sqrt 1) into 1 0.447 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.448 * [backup-simplify]: Simplify (+ 0 0) into 0 0.448 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.448 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.449 * [taylor]: Taking taylor expansion of re in re 0.449 * [backup-simplify]: Simplify 0 into 0 0.449 * [backup-simplify]: Simplify 1 into 1 0.449 * [backup-simplify]: Simplify (/ 1 1) into 1 0.449 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.449 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.449 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.449 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.449 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.449 * [taylor]: Taking taylor expansion of im in re 0.449 * [backup-simplify]: Simplify im into im 0.449 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.449 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.449 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.449 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.449 * [taylor]: Taking taylor expansion of re in re 0.449 * [backup-simplify]: Simplify 0 into 0 0.449 * [backup-simplify]: Simplify 1 into 1 0.449 * [backup-simplify]: Simplify (* 1 1) into 1 0.450 * [backup-simplify]: Simplify (/ 1 1) into 1 0.450 * [backup-simplify]: Simplify (+ 0 1) into 1 0.450 * [backup-simplify]: Simplify (sqrt 1) into 1 0.451 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.451 * [backup-simplify]: Simplify (+ 0 0) into 0 0.452 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.452 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.452 * [taylor]: Taking taylor expansion of re in re 0.452 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify 1 into 1 0.452 * [backup-simplify]: Simplify (/ 1 1) into 1 0.452 * [backup-simplify]: Simplify (- 1) into -1 0.452 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.453 * [taylor]: Taking taylor expansion of 0 in im 0.453 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.453 * [backup-simplify]: Simplify (- 0) into 0 0.453 * [backup-simplify]: Simplify (+ 0 0) into 0 0.453 * [taylor]: Taking taylor expansion of 0 in im 0.453 * [backup-simplify]: Simplify 0 into 0 0.454 * [backup-simplify]: Simplify 0 into 0 0.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.455 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.455 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.456 * [backup-simplify]: Simplify (- 0) into 0 0.456 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.456 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.456 * [taylor]: Taking taylor expansion of 1/2 in im 0.456 * [backup-simplify]: Simplify 1/2 into 1/2 0.456 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.457 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.457 * [taylor]: Taking taylor expansion of im in im 0.457 * [backup-simplify]: Simplify 0 into 0 0.457 * [backup-simplify]: Simplify 1 into 1 0.457 * [backup-simplify]: Simplify (* 1 1) into 1 0.457 * [backup-simplify]: Simplify (/ 1 1) into 1 0.457 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.458 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.458 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.459 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.460 * [backup-simplify]: Simplify (+ 0 0) into 0 0.460 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.461 * [backup-simplify]: Simplify (- 0) into 0 0.462 * [backup-simplify]: Simplify (+ 0 0) into 0 0.462 * [taylor]: Taking taylor expansion of 0 in im 0.462 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.465 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.465 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [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))))) 0.466 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.466 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.466 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.466 * [taylor]: Taking taylor expansion of re in im 0.466 * [backup-simplify]: Simplify re into re 0.466 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.466 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.466 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.466 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.467 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.467 * [taylor]: Taking taylor expansion of im in im 0.467 * [backup-simplify]: Simplify 0 into 0 0.467 * [backup-simplify]: Simplify 1 into 1 0.467 * [backup-simplify]: Simplify (* 1 1) into 1 0.467 * [backup-simplify]: Simplify (/ 1 1) into 1 0.467 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.468 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.468 * [taylor]: Taking taylor expansion of re in im 0.468 * [backup-simplify]: Simplify re into re 0.468 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.468 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.468 * [backup-simplify]: Simplify (+ 1 0) into 1 0.469 * [backup-simplify]: Simplify (sqrt 1) into 1 0.469 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.470 * [backup-simplify]: Simplify (+ 0 0) into 0 0.471 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.471 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.471 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.471 * [taylor]: Taking taylor expansion of re in re 0.471 * [backup-simplify]: Simplify 0 into 0 0.471 * [backup-simplify]: Simplify 1 into 1 0.472 * [backup-simplify]: Simplify (/ 1 1) into 1 0.472 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.472 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.472 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.472 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.472 * [taylor]: Taking taylor expansion of im in re 0.472 * [backup-simplify]: Simplify im into im 0.472 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.472 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.472 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.472 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.472 * [taylor]: Taking taylor expansion of re in re 0.472 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify 1 into 1 0.473 * [backup-simplify]: Simplify (* 1 1) into 1 0.473 * [backup-simplify]: Simplify (/ 1 1) into 1 0.473 * [backup-simplify]: Simplify (+ 0 1) into 1 0.474 * [backup-simplify]: Simplify (sqrt 1) into 1 0.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.476 * [backup-simplify]: Simplify (+ 0 0) into 0 0.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.476 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.476 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.476 * [taylor]: Taking taylor expansion of re in re 0.476 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify 1 into 1 0.477 * [backup-simplify]: Simplify (/ 1 1) into 1 0.477 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.477 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.477 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.477 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.477 * [taylor]: Taking taylor expansion of im in re 0.477 * [backup-simplify]: Simplify im into im 0.477 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.477 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.477 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.477 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.477 * [taylor]: Taking taylor expansion of re in re 0.477 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify 1 into 1 0.478 * [backup-simplify]: Simplify (* 1 1) into 1 0.478 * [backup-simplify]: Simplify (/ 1 1) into 1 0.479 * [backup-simplify]: Simplify (+ 0 1) into 1 0.479 * [backup-simplify]: Simplify (sqrt 1) into 1 0.480 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.481 * [backup-simplify]: Simplify (+ 0 0) into 0 0.481 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.482 * [backup-simplify]: Simplify (+ 1 1) into 2 0.482 * [taylor]: Taking taylor expansion of 2 in im 0.482 * [backup-simplify]: Simplify 2 into 2 0.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.483 * [backup-simplify]: Simplify (+ 0 0) into 0 0.483 * [taylor]: Taking taylor expansion of 0 in im 0.483 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify 2 into 2 0.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.486 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.488 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.488 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.488 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.488 * [taylor]: Taking taylor expansion of 1/2 in im 0.488 * [backup-simplify]: Simplify 1/2 into 1/2 0.488 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.488 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.488 * [taylor]: Taking taylor expansion of im in im 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify 1 into 1 0.489 * [backup-simplify]: Simplify (* 1 1) into 1 0.489 * [backup-simplify]: Simplify (/ 1 1) into 1 0.490 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.491 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.491 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.492 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.493 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.495 * [backup-simplify]: Simplify (+ 0 0) into 0 0.495 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.496 * [backup-simplify]: Simplify (+ 0 0) into 0 0.496 * [taylor]: Taking taylor expansion of 0 in im 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.497 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 0.498 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1) 0.498 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2)) 0.498 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.498 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.498 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.498 * [taylor]: Taking taylor expansion of re in im 0.498 * [backup-simplify]: Simplify re into re 0.498 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.498 * [taylor]: Taking taylor expansion of im in im 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify 1 into 1 0.498 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.498 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.498 * [taylor]: Taking taylor expansion of re in re 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify 1 into 1 0.498 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.498 * [taylor]: Taking taylor expansion of im in re 0.498 * [backup-simplify]: Simplify im into im 0.498 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.498 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.498 * [taylor]: Taking taylor expansion of re in re 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify 1 into 1 0.498 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.498 * [taylor]: Taking taylor expansion of im in re 0.498 * [backup-simplify]: Simplify im into im 0.498 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.498 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.498 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.498 * [taylor]: Taking taylor expansion of im in im 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify 1 into 1 0.499 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.499 * [backup-simplify]: Simplify (+ 0 0) into 0 0.499 * [taylor]: Taking taylor expansion of 0 in im 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify (* 1 1) into 1 0.500 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.500 * [backup-simplify]: Simplify (+ 1 0) into 1 0.500 * [taylor]: Taking taylor expansion of 1 in im 0.500 * [backup-simplify]: Simplify 1 into 1 0.500 * [backup-simplify]: Simplify 1 into 1 0.500 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify (* 1 1) into 1 0.500 * [backup-simplify]: Simplify 1 into 1 0.501 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.501 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.502 * [backup-simplify]: Simplify (+ 0 0) into 0 0.502 * [taylor]: Taking taylor expansion of 0 in im 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.502 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.503 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 0.504 * [backup-simplify]: Simplify (+ 0 0) into 0 0.504 * [taylor]: Taking taylor expansion of 0 in im 0.504 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2)) 0.504 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 0.504 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.504 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.504 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.504 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.504 * [taylor]: Taking taylor expansion of im in im 0.504 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify 1 into 1 0.505 * [backup-simplify]: Simplify (* 1 1) into 1 0.505 * [backup-simplify]: Simplify (/ 1 1) into 1 0.505 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.505 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.505 * [taylor]: Taking taylor expansion of re in im 0.505 * [backup-simplify]: Simplify re into re 0.505 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.505 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.505 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.505 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.505 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.505 * [taylor]: Taking taylor expansion of im in re 0.505 * [backup-simplify]: Simplify im into im 0.505 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.505 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.505 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.505 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.505 * [taylor]: Taking taylor expansion of re in re 0.505 * [backup-simplify]: Simplify 0 into 0 0.505 * [backup-simplify]: Simplify 1 into 1 0.506 * [backup-simplify]: Simplify (* 1 1) into 1 0.506 * [backup-simplify]: Simplify (/ 1 1) into 1 0.506 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.506 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.506 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.506 * [taylor]: Taking taylor expansion of im in re 0.506 * [backup-simplify]: Simplify im into im 0.506 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.506 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.506 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.506 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.506 * [taylor]: Taking taylor expansion of re in re 0.506 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify 1 into 1 0.506 * [backup-simplify]: Simplify (* 1 1) into 1 0.509 * [backup-simplify]: Simplify (/ 1 1) into 1 0.510 * [backup-simplify]: Simplify (+ 0 1) into 1 0.510 * [taylor]: Taking taylor expansion of 1 in im 0.510 * [backup-simplify]: Simplify 1 into 1 0.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.511 * [backup-simplify]: Simplify (+ 0 0) into 0 0.511 * [taylor]: Taking taylor expansion of 0 in im 0.511 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.513 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.513 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.513 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.513 * [taylor]: Taking taylor expansion of im in im 0.513 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify 1 into 1 0.513 * [backup-simplify]: Simplify (* 1 1) into 1 0.513 * [backup-simplify]: Simplify (/ 1 1) into 1 0.513 * [backup-simplify]: Simplify 1 into 1 0.514 * [backup-simplify]: Simplify 1 into 1 0.514 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.514 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.515 * [backup-simplify]: Simplify (+ 0 0) into 0 0.515 * [taylor]: Taking taylor expansion of 0 in im 0.515 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.517 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.518 * [backup-simplify]: Simplify (+ 0 0) into 0 0.518 * [taylor]: Taking taylor expansion of 0 in im 0.518 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.519 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2)) 0.520 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 0.520 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.520 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.520 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.520 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.520 * [taylor]: Taking taylor expansion of im in im 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify 1 into 1 0.520 * [backup-simplify]: Simplify (* 1 1) into 1 0.521 * [backup-simplify]: Simplify (/ 1 1) into 1 0.521 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.521 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.521 * [taylor]: Taking taylor expansion of re in im 0.521 * [backup-simplify]: Simplify re into re 0.521 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.521 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.521 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.521 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.521 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.521 * [taylor]: Taking taylor expansion of im in re 0.521 * [backup-simplify]: Simplify im into im 0.521 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.521 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.521 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.521 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.521 * [taylor]: Taking taylor expansion of re in re 0.521 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify 1 into 1 0.521 * [backup-simplify]: Simplify (* 1 1) into 1 0.522 * [backup-simplify]: Simplify (/ 1 1) into 1 0.522 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.522 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.522 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.522 * [taylor]: Taking taylor expansion of im in re 0.522 * [backup-simplify]: Simplify im into im 0.522 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.522 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.522 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.522 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.522 * [taylor]: Taking taylor expansion of re in re 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify 1 into 1 0.522 * [backup-simplify]: Simplify (* 1 1) into 1 0.522 * [backup-simplify]: Simplify (/ 1 1) into 1 0.523 * [backup-simplify]: Simplify (+ 0 1) into 1 0.523 * [taylor]: Taking taylor expansion of 1 in im 0.523 * [backup-simplify]: Simplify 1 into 1 0.523 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.525 * [backup-simplify]: Simplify (+ 0 0) into 0 0.525 * [taylor]: Taking taylor expansion of 0 in im 0.525 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.527 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.527 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.527 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.527 * [taylor]: Taking taylor expansion of im in im 0.527 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify 1 into 1 0.527 * [backup-simplify]: Simplify (* 1 1) into 1 0.528 * [backup-simplify]: Simplify (/ 1 1) into 1 0.528 * [backup-simplify]: Simplify 1 into 1 0.528 * [backup-simplify]: Simplify 1 into 1 0.528 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.528 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.531 * [backup-simplify]: Simplify (+ 0 0) into 0 0.531 * [taylor]: Taking taylor expansion of 0 in im 0.531 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.532 * [backup-simplify]: Simplify 0 into 0 0.532 * [backup-simplify]: Simplify 0 into 0 0.532 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.533 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.536 * [backup-simplify]: Simplify (+ 0 0) into 0 0.536 * [taylor]: Taking taylor expansion of 0 in im 0.536 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.538 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2)) 0.539 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.539 * [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))) 0.539 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in (re im) around 0 0.539 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im 0.539 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.539 * [taylor]: Taking taylor expansion of 2.0 in im 0.539 * [backup-simplify]: Simplify 2.0 into 2.0 0.540 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.541 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.541 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 0.541 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.541 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.541 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.541 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.541 * [taylor]: Taking taylor expansion of re in im 0.541 * [backup-simplify]: Simplify re into re 0.541 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.541 * [taylor]: Taking taylor expansion of im in im 0.541 * [backup-simplify]: Simplify 0 into 0 0.541 * [backup-simplify]: Simplify 1 into 1 0.541 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.541 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.541 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.542 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.542 * [backup-simplify]: Simplify (+ 0 0) into 0 0.543 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.543 * [taylor]: Taking taylor expansion of re in im 0.543 * [backup-simplify]: Simplify re into re 0.543 * [backup-simplify]: Simplify (- re) into (- re) 0.543 * [backup-simplify]: Simplify (+ re (- re)) into 0 0.543 * [backup-simplify]: Simplify (- 0) into 0 0.543 * [backup-simplify]: Simplify (+ 0 0) into 0 0.543 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 0.544 * [backup-simplify]: Simplify (* 1 1) into 1 0.544 * [backup-simplify]: Simplify (+ 0 1) into 1 0.544 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 0.545 * [backup-simplify]: Simplify (- 0) into 0 0.545 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 0.545 * [backup-simplify]: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 0.545 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 0.546 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.546 * [backup-simplify]: Simplify (+ 0 0) into 0 0.546 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 0.546 * [backup-simplify]: Simplify (- 0) into 0 0.546 * [backup-simplify]: Simplify (+ 0 0) into 0 0.547 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0 0.547 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.547 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.547 * [taylor]: Taking taylor expansion of 2.0 in re 0.547 * [backup-simplify]: Simplify 2.0 into 2.0 0.547 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.547 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.547 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.547 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.547 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.547 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.547 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.547 * [taylor]: Taking taylor expansion of re in re 0.547 * [backup-simplify]: Simplify 0 into 0 0.547 * [backup-simplify]: Simplify 1 into 1 0.548 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.548 * [taylor]: Taking taylor expansion of im in re 0.548 * [backup-simplify]: Simplify im into im 0.548 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.548 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.548 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.548 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.548 * [backup-simplify]: Simplify (+ 0 0) into 0 0.548 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.548 * [taylor]: Taking taylor expansion of re in re 0.548 * [backup-simplify]: Simplify 0 into 0 0.548 * [backup-simplify]: Simplify 1 into 1 0.548 * [backup-simplify]: Simplify (- 0) into 0 0.549 * [backup-simplify]: Simplify (+ im 0) into im 0.549 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.549 * [backup-simplify]: Simplify (- 1) into -1 0.549 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.549 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 0.549 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.549 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.549 * [taylor]: Taking taylor expansion of 2.0 in re 0.549 * [backup-simplify]: Simplify 2.0 into 2.0 0.549 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.550 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.550 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.550 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.550 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.550 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.550 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.550 * [taylor]: Taking taylor expansion of re in re 0.550 * [backup-simplify]: Simplify 0 into 0 0.550 * [backup-simplify]: Simplify 1 into 1 0.550 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.550 * [taylor]: Taking taylor expansion of im in re 0.550 * [backup-simplify]: Simplify im into im 0.550 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.550 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.550 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.550 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.551 * [backup-simplify]: Simplify (+ 0 0) into 0 0.551 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.551 * [taylor]: Taking taylor expansion of re in re 0.551 * [backup-simplify]: Simplify 0 into 0 0.551 * [backup-simplify]: Simplify 1 into 1 0.551 * [backup-simplify]: Simplify (- 0) into 0 0.551 * [backup-simplify]: Simplify (+ im 0) into im 0.551 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.551 * [backup-simplify]: Simplify (- 1) into -1 0.552 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.552 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 0.552 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 0.552 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.552 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.552 * [taylor]: Taking taylor expansion of 2.0 in im 0.552 * [backup-simplify]: Simplify 2.0 into 2.0 0.552 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.553 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.553 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.553 * [taylor]: Taking taylor expansion of im in im 0.553 * [backup-simplify]: Simplify 0 into 0 0.553 * [backup-simplify]: Simplify 1 into 1 0.553 * [backup-simplify]: Simplify (sqrt 0) into 0 0.554 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.555 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.556 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.557 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* -1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) 0.557 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 0.557 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.557 * [taylor]: Taking taylor expansion of 1/2 in im 0.557 * [backup-simplify]: Simplify 1/2 into 1/2 0.557 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.557 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.557 * [taylor]: Taking taylor expansion of 2.0 in im 0.557 * [backup-simplify]: Simplify 2.0 into 2.0 0.557 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.557 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.557 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.558 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.558 * [taylor]: Taking taylor expansion of im in im 0.558 * [backup-simplify]: Simplify 0 into 0 0.558 * [backup-simplify]: Simplify 1 into 1 0.558 * [backup-simplify]: Simplify (/ 1 1) into 1 0.558 * [backup-simplify]: Simplify (sqrt 0) into 0 0.559 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.561 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.562 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.564 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.565 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.565 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.568 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.570 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.571 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.573 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.573 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.575 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.576 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.579 * [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)))))))) 0.580 * [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)))) 0.580 * [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 0.580 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.580 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.580 * [taylor]: Taking taylor expansion of 2.0 in im 0.580 * [backup-simplify]: Simplify 2.0 into 2.0 0.580 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.580 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.580 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.580 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.581 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.581 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.581 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.581 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.581 * [taylor]: Taking taylor expansion of im in im 0.581 * [backup-simplify]: Simplify 0 into 0 0.581 * [backup-simplify]: Simplify 1 into 1 0.581 * [backup-simplify]: Simplify (* 1 1) into 1 0.581 * [backup-simplify]: Simplify (/ 1 1) into 1 0.581 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.581 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.581 * [taylor]: Taking taylor expansion of re in im 0.581 * [backup-simplify]: Simplify re into re 0.581 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.581 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.582 * [backup-simplify]: Simplify (+ 1 0) into 1 0.582 * [backup-simplify]: Simplify (sqrt 1) into 1 0.582 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.583 * [backup-simplify]: Simplify (+ 0 0) into 0 0.583 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.583 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.583 * [taylor]: Taking taylor expansion of re in im 0.583 * [backup-simplify]: Simplify re into re 0.583 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.584 * [backup-simplify]: Simplify (+ 1 0) into 1 0.584 * [backup-simplify]: Simplify (sqrt 0) into 0 0.585 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.585 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.585 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.585 * [taylor]: Taking taylor expansion of 2.0 in re 0.585 * [backup-simplify]: Simplify 2.0 into 2.0 0.585 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.585 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.585 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.585 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.585 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.586 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.586 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.586 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.586 * [taylor]: Taking taylor expansion of im in re 0.586 * [backup-simplify]: Simplify im into im 0.586 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.586 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.586 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.586 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.586 * [taylor]: Taking taylor expansion of re in re 0.586 * [backup-simplify]: Simplify 0 into 0 0.586 * [backup-simplify]: Simplify 1 into 1 0.586 * [backup-simplify]: Simplify (* 1 1) into 1 0.586 * [backup-simplify]: Simplify (/ 1 1) into 1 0.587 * [backup-simplify]: Simplify (+ 0 1) into 1 0.587 * [backup-simplify]: Simplify (sqrt 1) into 1 0.587 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.588 * [backup-simplify]: Simplify (+ 0 0) into 0 0.588 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.588 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.588 * [taylor]: Taking taylor expansion of re in re 0.588 * [backup-simplify]: Simplify 0 into 0 0.588 * [backup-simplify]: Simplify 1 into 1 0.589 * [backup-simplify]: Simplify (/ 1 1) into 1 0.589 * [backup-simplify]: Simplify (- 1) into -1 0.589 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.590 * [backup-simplify]: Simplify (- 0) into 0 0.590 * [backup-simplify]: Simplify (+ 0 0) into 0 0.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.591 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.592 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.593 * [backup-simplify]: Simplify (- 0) into 0 0.593 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.593 * [backup-simplify]: Simplify (sqrt 0) into 0 0.594 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.594 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.594 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.594 * [taylor]: Taking taylor expansion of 2.0 in re 0.594 * [backup-simplify]: Simplify 2.0 into 2.0 0.594 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.595 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.595 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.595 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.595 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.595 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.595 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.595 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.595 * [taylor]: Taking taylor expansion of im in re 0.595 * [backup-simplify]: Simplify im into im 0.595 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.595 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.595 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.595 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.595 * [taylor]: Taking taylor expansion of re in re 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 0.596 * [backup-simplify]: Simplify (/ 1 1) into 1 0.597 * [backup-simplify]: Simplify (+ 0 1) into 1 0.597 * [backup-simplify]: Simplify (sqrt 1) into 1 0.598 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.599 * [backup-simplify]: Simplify (+ 0 0) into 0 0.600 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.600 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.600 * [taylor]: Taking taylor expansion of re in re 0.600 * [backup-simplify]: Simplify 0 into 0 0.600 * [backup-simplify]: Simplify 1 into 1 0.601 * [backup-simplify]: Simplify (/ 1 1) into 1 0.601 * [backup-simplify]: Simplify (- 1) into -1 0.601 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.602 * [backup-simplify]: Simplify (- 0) into 0 0.603 * [backup-simplify]: Simplify (+ 0 0) into 0 0.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.605 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.606 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.608 * [backup-simplify]: Simplify (- 0) into 0 0.608 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.608 * [backup-simplify]: Simplify (sqrt 0) into 0 0.609 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.609 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.610 * [taylor]: Taking taylor expansion of 0 in im 0.610 * [backup-simplify]: Simplify 0 into 0 0.611 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 0.611 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.611 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.611 * [taylor]: Taking taylor expansion of +nan.0 in im 0.611 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.611 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.611 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.611 * [taylor]: Taking taylor expansion of 2.0 in im 0.611 * [backup-simplify]: Simplify 2.0 into 2.0 0.611 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.612 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.612 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.612 * [taylor]: Taking taylor expansion of im in im 0.612 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify 1 into 1 0.612 * [backup-simplify]: Simplify (* 1 1) into 1 0.614 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.614 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.615 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.616 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.617 * [backup-simplify]: Simplify (- 0) into 0 0.617 * [backup-simplify]: Simplify 0 into 0 0.617 * [backup-simplify]: Simplify 0 into 0 0.617 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.617 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.620 * [backup-simplify]: Simplify (+ 0 0) into 0 0.620 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.626 * [backup-simplify]: Simplify (- 0) into 0 0.626 * [backup-simplify]: Simplify (+ 0 0) into 0 0.627 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 0.628 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.629 * [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)))) 0.629 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.629 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.629 * [taylor]: Taking taylor expansion of +nan.0 in im 0.629 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.629 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.629 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.629 * [taylor]: Taking taylor expansion of 2.0 in im 0.629 * [backup-simplify]: Simplify 2.0 into 2.0 0.629 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.630 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.630 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.630 * [taylor]: Taking taylor expansion of im in im 0.630 * [backup-simplify]: Simplify 0 into 0 0.630 * [backup-simplify]: Simplify 1 into 1 0.630 * [backup-simplify]: Simplify (* 1 1) into 1 0.630 * [backup-simplify]: Simplify (* 1 1) into 1 0.631 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.632 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.632 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.633 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.635 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.637 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.637 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.638 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.638 * [backup-simplify]: Simplify (- 0) into 0 0.638 * [backup-simplify]: Simplify 0 into 0 0.639 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.640 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.641 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.641 * [backup-simplify]: Simplify (- 0) into 0 0.641 * [backup-simplify]: Simplify 0 into 0 0.641 * [backup-simplify]: Simplify 0 into 0 0.642 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.642 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.643 * [backup-simplify]: Simplify (+ 0 0) into 0 0.644 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 0.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.645 * [backup-simplify]: Simplify (- 0) into 0 0.645 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 0.646 * [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)))))) 0.647 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.648 * [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)))))) 0.649 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.649 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.649 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.649 * [taylor]: Taking taylor expansion of +nan.0 in im 0.649 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.649 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.649 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.649 * [taylor]: Taking taylor expansion of 2.0 in im 0.649 * [backup-simplify]: Simplify 2.0 into 2.0 0.649 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.650 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.650 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.650 * [taylor]: Taking taylor expansion of im in im 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 0.651 * [backup-simplify]: Simplify (* 1 1) into 1 0.652 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.652 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.652 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.652 * [taylor]: Taking taylor expansion of +nan.0 in im 0.652 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.652 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.652 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.652 * [taylor]: Taking taylor expansion of 2.0 in im 0.652 * [backup-simplify]: Simplify 2.0 into 2.0 0.652 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.653 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.653 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.653 * [taylor]: Taking taylor expansion of im in im 0.653 * [backup-simplify]: Simplify 0 into 0 0.653 * [backup-simplify]: Simplify 1 into 1 0.654 * [backup-simplify]: Simplify (* 1 1) into 1 0.654 * [backup-simplify]: Simplify (* 1 1) into 1 0.655 * [backup-simplify]: Simplify (* 1 1) into 1 0.656 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.657 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.658 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.660 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.661 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.662 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.664 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.666 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.667 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.668 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.668 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.669 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.670 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.671 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.674 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.675 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.677 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.678 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.679 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.679 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.680 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.681 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.682 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.682 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.683 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 0.684 * [backup-simplify]: Simplify (- 0) into 0 0.684 * [backup-simplify]: Simplify (+ 0 0) into 0 0.684 * [backup-simplify]: Simplify (- 0) into 0 0.684 * [backup-simplify]: Simplify 0 into 0 0.684 * [backup-simplify]: Simplify 0 into 0 0.684 * [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))))))) 0.684 * [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 0.685 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.685 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.685 * [taylor]: Taking taylor expansion of 2.0 in im 0.685 * [backup-simplify]: Simplify 2.0 into 2.0 0.685 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.685 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.685 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.685 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.685 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.685 * [taylor]: Taking taylor expansion of re in im 0.685 * [backup-simplify]: Simplify re into re 0.685 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.685 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.685 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.685 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.685 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.685 * [taylor]: Taking taylor expansion of im in im 0.686 * [backup-simplify]: Simplify 0 into 0 0.686 * [backup-simplify]: Simplify 1 into 1 0.686 * [backup-simplify]: Simplify (* 1 1) into 1 0.686 * [backup-simplify]: Simplify (/ 1 1) into 1 0.686 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.686 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.686 * [taylor]: Taking taylor expansion of re in im 0.686 * [backup-simplify]: Simplify re into re 0.686 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.686 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.687 * [backup-simplify]: Simplify (+ 1 0) into 1 0.687 * [backup-simplify]: Simplify (sqrt 1) into 1 0.687 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.688 * [backup-simplify]: Simplify (+ 0 0) into 0 0.688 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.689 * [backup-simplify]: Simplify (+ 0 1) into 1 0.689 * [backup-simplify]: Simplify (sqrt 0) into 0 0.690 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.690 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.690 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.690 * [taylor]: Taking taylor expansion of 2.0 in re 0.690 * [backup-simplify]: Simplify 2.0 into 2.0 0.690 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.691 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.691 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.691 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.691 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.691 * [taylor]: Taking taylor expansion of re in re 0.691 * [backup-simplify]: Simplify 0 into 0 0.691 * [backup-simplify]: Simplify 1 into 1 0.691 * [backup-simplify]: Simplify (/ 1 1) into 1 0.691 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.691 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.691 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.691 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.691 * [taylor]: Taking taylor expansion of im in re 0.691 * [backup-simplify]: Simplify im into im 0.691 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.691 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.691 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.691 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.691 * [taylor]: Taking taylor expansion of re in re 0.691 * [backup-simplify]: Simplify 0 into 0 0.691 * [backup-simplify]: Simplify 1 into 1 0.692 * [backup-simplify]: Simplify (* 1 1) into 1 0.692 * [backup-simplify]: Simplify (/ 1 1) into 1 0.692 * [backup-simplify]: Simplify (+ 0 1) into 1 0.692 * [backup-simplify]: Simplify (sqrt 1) into 1 0.693 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.693 * [backup-simplify]: Simplify (+ 0 0) into 0 0.694 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.694 * [backup-simplify]: Simplify (+ 1 1) into 2 0.694 * [backup-simplify]: Simplify (sqrt 0) into 0 0.695 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.695 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.695 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.695 * [taylor]: Taking taylor expansion of 2.0 in re 0.695 * [backup-simplify]: Simplify 2.0 into 2.0 0.695 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.696 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.696 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.696 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.696 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.696 * [taylor]: Taking taylor expansion of re in re 0.696 * [backup-simplify]: Simplify 0 into 0 0.696 * [backup-simplify]: Simplify 1 into 1 0.696 * [backup-simplify]: Simplify (/ 1 1) into 1 0.696 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.696 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.696 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.696 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.696 * [taylor]: Taking taylor expansion of im in re 0.696 * [backup-simplify]: Simplify im into im 0.696 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.697 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.697 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.697 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.697 * [taylor]: Taking taylor expansion of re in re 0.697 * [backup-simplify]: Simplify 0 into 0 0.697 * [backup-simplify]: Simplify 1 into 1 0.697 * [backup-simplify]: Simplify (* 1 1) into 1 0.697 * [backup-simplify]: Simplify (/ 1 1) into 1 0.697 * [backup-simplify]: Simplify (+ 0 1) into 1 0.698 * [backup-simplify]: Simplify (sqrt 1) into 1 0.698 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.699 * [backup-simplify]: Simplify (+ 0 0) into 0 0.699 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.700 * [backup-simplify]: Simplify (+ 1 1) into 2 0.700 * [backup-simplify]: Simplify (sqrt 0) into 0 0.702 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.702 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.702 * [taylor]: Taking taylor expansion of 0 in im 0.702 * [backup-simplify]: Simplify 0 into 0 0.704 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.705 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.705 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.705 * [taylor]: Taking taylor expansion of +nan.0 in im 0.705 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.705 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.705 * [taylor]: Taking taylor expansion of 2.0 in im 0.705 * [backup-simplify]: Simplify 2.0 into 2.0 0.705 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.706 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.706 * [backup-simplify]: Simplify 0 into 0 0.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.707 * [backup-simplify]: Simplify (+ 0 0) into 0 0.711 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.712 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.715 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.715 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.715 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.715 * [taylor]: Taking taylor expansion of +nan.0 in im 0.715 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.715 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.715 * [taylor]: Taking taylor expansion of 2.0 in im 0.715 * [backup-simplify]: Simplify 2.0 into 2.0 0.716 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.717 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.718 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.719 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.721 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.721 * [backup-simplify]: Simplify 0 into 0 0.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.724 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.726 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.726 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.727 * [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)) 0.728 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.729 * [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))))) 0.729 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.729 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.729 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.729 * [taylor]: Taking taylor expansion of +nan.0 in im 0.729 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.729 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.729 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.729 * [taylor]: Taking taylor expansion of 2.0 in im 0.729 * [backup-simplify]: Simplify 2.0 into 2.0 0.730 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.730 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.730 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.730 * [taylor]: Taking taylor expansion of im in im 0.730 * [backup-simplify]: Simplify 0 into 0 0.730 * [backup-simplify]: Simplify 1 into 1 0.730 * [backup-simplify]: Simplify (* 1 1) into 1 0.731 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.731 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.731 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.731 * [taylor]: Taking taylor expansion of +nan.0 in im 0.731 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.731 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.731 * [taylor]: Taking taylor expansion of 2.0 in im 0.731 * [backup-simplify]: Simplify 2.0 into 2.0 0.731 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.732 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.732 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.733 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.736 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.736 * [backup-simplify]: Simplify (+ 0 0) into 0 0.736 * [backup-simplify]: Simplify (- 0) into 0 0.736 * [backup-simplify]: Simplify 0 into 0 0.737 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.738 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.739 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.739 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.740 * [backup-simplify]: Simplify (- 0) into 0 0.740 * [backup-simplify]: Simplify 0 into 0 0.740 * [backup-simplify]: Simplify 0 into 0 0.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.740 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.741 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.742 * [backup-simplify]: Simplify (+ 0 0) into 0 0.742 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.743 * [backup-simplify]: Simplify (+ 0 0) into 0 0.743 * [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))) 0.744 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.746 * [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))))) 0.746 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.746 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.746 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.746 * [taylor]: Taking taylor expansion of +nan.0 in im 0.746 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.746 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.746 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.746 * [taylor]: Taking taylor expansion of 2.0 in im 0.746 * [backup-simplify]: Simplify 2.0 into 2.0 0.746 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.746 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.746 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.746 * [taylor]: Taking taylor expansion of im in im 0.747 * [backup-simplify]: Simplify 0 into 0 0.747 * [backup-simplify]: Simplify 1 into 1 0.747 * [backup-simplify]: Simplify (* 1 1) into 1 0.747 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.747 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.747 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.747 * [taylor]: Taking taylor expansion of +nan.0 in im 0.747 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.747 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.747 * [taylor]: Taking taylor expansion of 2.0 in im 0.747 * [backup-simplify]: Simplify 2.0 into 2.0 0.748 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.748 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.749 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.750 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.750 * [backup-simplify]: Simplify (+ 0 0) into 0 0.750 * [backup-simplify]: Simplify (- 0) into 0 0.750 * [backup-simplify]: Simplify 0 into 0 0.751 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.751 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.752 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.753 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.753 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.754 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.755 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.757 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.758 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.761 * [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))))))) 0.761 * * * [progress]: simplifying candidates 0.762 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- re) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (- re) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) (log (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (* (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) im re (* -1 re) (- im re) 0 (* -2 re) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) (* im re)))))))) 0 (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0.763 * * [simplify]: Extracting # 0 : cost 0 0.763 * * [simplify]: Extracting # 1 : cost 0 0.764 * * [simplify]: Extracting # 2 : cost 0 0.764 * * [simplify]: Extracting # 3 : cost 0 0.764 * * [simplify]: Extracting # 4 : cost 0 0.764 * * [simplify]: Extracting # 5 : cost 0 0.764 * * [simplify]: Extracting # 6 : cost 0 0.764 * * [simplify]: Extracting # 7 : cost 0 0.764 * * [simplify]: Extracting # 8 : cost 0 0.764 * * [simplify]: Extracting # 9 : cost 0 0.765 * * [simplify]: Extracting # 10 : cost 0 0.765 * * [simplify]: Extracting # 11 : cost 0 0.765 * * [simplify]: iteration 0 : 114 enodes (cost 942 ) 0.791 * * [simplify]: Extracting # 0 : cost 0 0.792 * * [simplify]: Extracting # 1 : cost 0 0.792 * * [simplify]: Extracting # 2 : cost 0 0.793 * * [simplify]: Extracting # 3 : cost 0 0.793 * * [simplify]: Extracting # 4 : cost 0 0.794 * * [simplify]: iteration 1 : 255 enodes (cost 828 ) 0.942 * * [simplify]: Extracting # 0 : cost 0 0.943 * * [simplify]: Extracting # 1 : cost 0 0.944 * * [simplify]: Extracting # 2 : cost 0 0.944 * * [simplify]: Extracting # 3 : cost 0 0.945 * * [simplify]: Extracting # 4 : cost 0 0.946 * * [simplify]: iteration 2 : 709 enodes (cost 752 ) 1.423 * * [simplify]: Extracting # 0 : cost 0 1.428 * * [simplify]: Extracting # 1 : cost 0 1.433 * * [simplify]: Extracting # 2 : cost 0 1.444 * * [simplify]: Extracting # 3 : cost 0 1.448 * * [simplify]: Extracting # 4 : cost 0 1.452 * * [simplify]: iteration 3 : 2136 enodes (cost 727 ) 2.922 * * [simplify]: Extracting # 0 : cost 0 2.938 * * [simplify]: Extracting # 1 : cost 0 2.949 * * [simplify]: Extracting # 2 : cost 0 2.960 * * [simplify]: Extracting # 3 : cost 0 2.970 * * [simplify]: Extracting # 4 : cost 0 2.981 * * [simplify]: iteration done: 5000 enodes (cost 721 ) 2.982 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (exp (- (sqrt (+ (* re re) (* im im))) re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (pow (- (sqrt (+ (* re re) (* im im))) re) 3) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* im im) (* re (+ (+ (sqrt (+ (* re re) (* im im))) re) re))) (- re) (* im im) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (- re) (exp (+ (* re re) (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (pow (+ (* re re) (* im im)) 3) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow im 6) (pow re 6)) (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)) (- (pow re 4) (pow im 4)) (- (* re re) (* im im)) (log (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3) (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* im im) (* re (+ (+ (sqrt (+ (* re re) (* im im))) re) re)))) (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) im re (- re) (- im re) 0 (* -2 re) (+ (* re re) (* im im)) (+ (* re re) (* im im)) (+ (* re re) (* im im)) (* (* +nan.0 (sqrt 2.0)) (+ im (* (- im) (+ re im)))) 0 (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) 2.983 * * * [progress]: adding candidates to table 3.266 * * [progress]: iteration 2 / 4 3.266 * * * [progress]: picking best candidate 3.312 * * * * [pick]: Picked # 3.312 * * * [progress]: localizing error 3.345 * * * [progress]: generating rewritten candidates 3.345 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1) 3.354 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1) 3.362 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 3.443 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1) 3.558 * * * [progress]: generating series expansions 3.558 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1) 3.558 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 3.558 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 3.558 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 3.558 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.558 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.558 * [taylor]: Taking taylor expansion of re in im 3.558 * [backup-simplify]: Simplify re into re 3.558 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.558 * [taylor]: Taking taylor expansion of im in im 3.558 * [backup-simplify]: Simplify 0 into 0 3.558 * [backup-simplify]: Simplify 1 into 1 3.558 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.559 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 3.559 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.559 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.559 * [backup-simplify]: Simplify (+ 0 0) into 0 3.559 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.560 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.560 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.560 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.560 * [taylor]: Taking taylor expansion of re in re 3.560 * [backup-simplify]: Simplify 0 into 0 3.560 * [backup-simplify]: Simplify 1 into 1 3.560 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.560 * [taylor]: Taking taylor expansion of im in re 3.560 * [backup-simplify]: Simplify im into im 3.560 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.560 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.560 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.560 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.560 * [backup-simplify]: Simplify (+ 0 0) into 0 3.560 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.560 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.560 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.560 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.560 * [taylor]: Taking taylor expansion of re in re 3.560 * [backup-simplify]: Simplify 0 into 0 3.560 * [backup-simplify]: Simplify 1 into 1 3.561 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.561 * [taylor]: Taking taylor expansion of im in re 3.561 * [backup-simplify]: Simplify im into im 3.561 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.561 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.561 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.561 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.561 * [backup-simplify]: Simplify (+ 0 0) into 0 3.561 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.561 * [taylor]: Taking taylor expansion of im in im 3.561 * [backup-simplify]: Simplify 0 into 0 3.561 * [backup-simplify]: Simplify 1 into 1 3.561 * [backup-simplify]: Simplify 0 into 0 3.561 * [taylor]: Taking taylor expansion of 0 in im 3.561 * [backup-simplify]: Simplify 0 into 0 3.561 * [backup-simplify]: Simplify 0 into 0 3.561 * [backup-simplify]: Simplify 1 into 1 3.562 * [backup-simplify]: Simplify (* 1 1) into 1 3.562 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.562 * [backup-simplify]: Simplify (+ 1 0) into 1 3.563 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.563 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.563 * [taylor]: Taking taylor expansion of 1/2 in im 3.563 * [backup-simplify]: Simplify 1/2 into 1/2 3.563 * [taylor]: Taking taylor expansion of im in im 3.563 * [backup-simplify]: Simplify 0 into 0 3.563 * [backup-simplify]: Simplify 1 into 1 3.563 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.564 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.564 * [backup-simplify]: Simplify 0 into 0 3.564 * [backup-simplify]: Simplify 0 into 0 3.564 * [backup-simplify]: Simplify 0 into 0 3.565 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.565 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.565 * [backup-simplify]: Simplify (+ 0 0) into 0 3.566 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.566 * [taylor]: Taking taylor expansion of 0 in im 3.566 * [backup-simplify]: Simplify 0 into 0 3.566 * [backup-simplify]: Simplify 0 into 0 3.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.566 * [backup-simplify]: Simplify 0 into 0 3.566 * [backup-simplify]: Simplify 0 into 0 3.566 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 3.567 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 3.567 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.567 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.567 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.567 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.567 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.567 * [taylor]: Taking taylor expansion of im in im 3.567 * [backup-simplify]: Simplify 0 into 0 3.567 * [backup-simplify]: Simplify 1 into 1 3.567 * [backup-simplify]: Simplify (* 1 1) into 1 3.567 * [backup-simplify]: Simplify (/ 1 1) into 1 3.567 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.567 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.567 * [taylor]: Taking taylor expansion of re in im 3.567 * [backup-simplify]: Simplify re into re 3.568 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.568 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.568 * [backup-simplify]: Simplify (+ 1 0) into 1 3.568 * [backup-simplify]: Simplify (sqrt 1) into 1 3.569 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.569 * [backup-simplify]: Simplify (+ 0 0) into 0 3.570 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.570 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.570 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.570 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.570 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.570 * [taylor]: Taking taylor expansion of im in re 3.570 * [backup-simplify]: Simplify im into im 3.570 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.570 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.570 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.570 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.570 * [taylor]: Taking taylor expansion of re in re 3.570 * [backup-simplify]: Simplify 0 into 0 3.570 * [backup-simplify]: Simplify 1 into 1 3.571 * [backup-simplify]: Simplify (* 1 1) into 1 3.571 * [backup-simplify]: Simplify (/ 1 1) into 1 3.571 * [backup-simplify]: Simplify (+ 0 1) into 1 3.571 * [backup-simplify]: Simplify (sqrt 1) into 1 3.572 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.572 * [backup-simplify]: Simplify (+ 0 0) into 0 3.573 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.573 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.573 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.573 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.573 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.573 * [taylor]: Taking taylor expansion of im in re 3.573 * [backup-simplify]: Simplify im into im 3.573 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.573 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.573 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.573 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.573 * [taylor]: Taking taylor expansion of re in re 3.573 * [backup-simplify]: Simplify 0 into 0 3.573 * [backup-simplify]: Simplify 1 into 1 3.573 * [backup-simplify]: Simplify (* 1 1) into 1 3.574 * [backup-simplify]: Simplify (/ 1 1) into 1 3.574 * [backup-simplify]: Simplify (+ 0 1) into 1 3.574 * [backup-simplify]: Simplify (sqrt 1) into 1 3.574 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.575 * [backup-simplify]: Simplify (+ 0 0) into 0 3.576 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.576 * [taylor]: Taking taylor expansion of 1 in im 3.576 * [backup-simplify]: Simplify 1 into 1 3.576 * [taylor]: Taking taylor expansion of 0 in im 3.576 * [backup-simplify]: Simplify 0 into 0 3.576 * [backup-simplify]: Simplify 1 into 1 3.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.577 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.578 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.578 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.578 * [taylor]: Taking taylor expansion of 1/2 in im 3.578 * [backup-simplify]: Simplify 1/2 into 1/2 3.578 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.578 * [taylor]: Taking taylor expansion of im in im 3.578 * [backup-simplify]: Simplify 0 into 0 3.578 * [backup-simplify]: Simplify 1 into 1 3.578 * [backup-simplify]: Simplify (* 1 1) into 1 3.578 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.579 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.579 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.579 * [backup-simplify]: Simplify 0 into 0 3.579 * [backup-simplify]: Simplify 0 into 0 3.579 * [backup-simplify]: Simplify 0 into 0 3.579 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.580 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.581 * [backup-simplify]: Simplify (+ 0 0) into 0 3.581 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.581 * [taylor]: Taking taylor expansion of 0 in im 3.581 * [backup-simplify]: Simplify 0 into 0 3.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.583 * [backup-simplify]: Simplify 0 into 0 3.583 * [backup-simplify]: Simplify 0 into 0 3.583 * [backup-simplify]: Simplify 0 into 0 3.583 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 3.583 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 3.583 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.583 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.583 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.583 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.583 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.583 * [taylor]: Taking taylor expansion of im in im 3.583 * [backup-simplify]: Simplify 0 into 0 3.583 * [backup-simplify]: Simplify 1 into 1 3.583 * [backup-simplify]: Simplify (* 1 1) into 1 3.584 * [backup-simplify]: Simplify (/ 1 1) into 1 3.584 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.584 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.584 * [taylor]: Taking taylor expansion of re in im 3.584 * [backup-simplify]: Simplify re into re 3.584 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.584 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.584 * [backup-simplify]: Simplify (+ 1 0) into 1 3.584 * [backup-simplify]: Simplify (sqrt 1) into 1 3.585 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.585 * [backup-simplify]: Simplify (+ 0 0) into 0 3.586 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.586 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.586 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.586 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.586 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.586 * [taylor]: Taking taylor expansion of im in re 3.586 * [backup-simplify]: Simplify im into im 3.586 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.586 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.586 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.586 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.586 * [taylor]: Taking taylor expansion of re in re 3.586 * [backup-simplify]: Simplify 0 into 0 3.586 * [backup-simplify]: Simplify 1 into 1 3.587 * [backup-simplify]: Simplify (* 1 1) into 1 3.587 * [backup-simplify]: Simplify (/ 1 1) into 1 3.587 * [backup-simplify]: Simplify (+ 0 1) into 1 3.587 * [backup-simplify]: Simplify (sqrt 1) into 1 3.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.588 * [backup-simplify]: Simplify (+ 0 0) into 0 3.589 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.589 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.589 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.589 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.589 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.589 * [taylor]: Taking taylor expansion of im in re 3.589 * [backup-simplify]: Simplify im into im 3.589 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.589 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.589 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.589 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.589 * [taylor]: Taking taylor expansion of re in re 3.589 * [backup-simplify]: Simplify 0 into 0 3.589 * [backup-simplify]: Simplify 1 into 1 3.589 * [backup-simplify]: Simplify (* 1 1) into 1 3.590 * [backup-simplify]: Simplify (/ 1 1) into 1 3.590 * [backup-simplify]: Simplify (+ 0 1) into 1 3.590 * [backup-simplify]: Simplify (sqrt 1) into 1 3.590 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.591 * [backup-simplify]: Simplify (+ 0 0) into 0 3.592 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.592 * [taylor]: Taking taylor expansion of 1 in im 3.592 * [backup-simplify]: Simplify 1 into 1 3.592 * [taylor]: Taking taylor expansion of 0 in im 3.592 * [backup-simplify]: Simplify 0 into 0 3.592 * [backup-simplify]: Simplify 1 into 1 3.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.593 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.594 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.594 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.594 * [taylor]: Taking taylor expansion of 1/2 in im 3.594 * [backup-simplify]: Simplify 1/2 into 1/2 3.594 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.594 * [taylor]: Taking taylor expansion of im in im 3.594 * [backup-simplify]: Simplify 0 into 0 3.594 * [backup-simplify]: Simplify 1 into 1 3.594 * [backup-simplify]: Simplify (* 1 1) into 1 3.594 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.595 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.595 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.595 * [backup-simplify]: Simplify 0 into 0 3.595 * [backup-simplify]: Simplify 0 into 0 3.595 * [backup-simplify]: Simplify 0 into 0 3.595 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.596 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.597 * [backup-simplify]: Simplify (+ 0 0) into 0 3.597 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.597 * [taylor]: Taking taylor expansion of 0 in im 3.597 * [backup-simplify]: Simplify 0 into 0 3.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.599 * [backup-simplify]: Simplify 0 into 0 3.599 * [backup-simplify]: Simplify 0 into 0 3.599 * [backup-simplify]: Simplify 0 into 0 3.599 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 3.599 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1) 3.599 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 3.599 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 3.599 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 3.599 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.599 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.599 * [taylor]: Taking taylor expansion of re in im 3.599 * [backup-simplify]: Simplify re into re 3.599 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.599 * [taylor]: Taking taylor expansion of im in im 3.599 * [backup-simplify]: Simplify 0 into 0 3.599 * [backup-simplify]: Simplify 1 into 1 3.599 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.599 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 3.599 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.599 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.600 * [backup-simplify]: Simplify (+ 0 0) into 0 3.600 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.600 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.600 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.600 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.600 * [taylor]: Taking taylor expansion of re in re 3.600 * [backup-simplify]: Simplify 0 into 0 3.600 * [backup-simplify]: Simplify 1 into 1 3.600 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.600 * [taylor]: Taking taylor expansion of im in re 3.600 * [backup-simplify]: Simplify im into im 3.600 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.600 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.600 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.600 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.600 * [backup-simplify]: Simplify (+ 0 0) into 0 3.600 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.601 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.601 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.601 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.601 * [taylor]: Taking taylor expansion of re in re 3.601 * [backup-simplify]: Simplify 0 into 0 3.601 * [backup-simplify]: Simplify 1 into 1 3.601 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.601 * [taylor]: Taking taylor expansion of im in re 3.601 * [backup-simplify]: Simplify im into im 3.601 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.601 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.601 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.601 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.601 * [backup-simplify]: Simplify (+ 0 0) into 0 3.601 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.601 * [taylor]: Taking taylor expansion of im in im 3.601 * [backup-simplify]: Simplify 0 into 0 3.601 * [backup-simplify]: Simplify 1 into 1 3.601 * [backup-simplify]: Simplify 0 into 0 3.601 * [taylor]: Taking taylor expansion of 0 in im 3.601 * [backup-simplify]: Simplify 0 into 0 3.601 * [backup-simplify]: Simplify 0 into 0 3.601 * [backup-simplify]: Simplify 1 into 1 3.602 * [backup-simplify]: Simplify (* 1 1) into 1 3.602 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.602 * [backup-simplify]: Simplify (+ 1 0) into 1 3.603 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.603 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.603 * [taylor]: Taking taylor expansion of 1/2 in im 3.603 * [backup-simplify]: Simplify 1/2 into 1/2 3.603 * [taylor]: Taking taylor expansion of im in im 3.603 * [backup-simplify]: Simplify 0 into 0 3.603 * [backup-simplify]: Simplify 1 into 1 3.603 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.604 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.604 * [backup-simplify]: Simplify 0 into 0 3.604 * [backup-simplify]: Simplify 0 into 0 3.604 * [backup-simplify]: Simplify 0 into 0 3.604 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.605 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.605 * [backup-simplify]: Simplify (+ 0 0) into 0 3.605 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.605 * [taylor]: Taking taylor expansion of 0 in im 3.605 * [backup-simplify]: Simplify 0 into 0 3.605 * [backup-simplify]: Simplify 0 into 0 3.606 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.606 * [backup-simplify]: Simplify 0 into 0 3.606 * [backup-simplify]: Simplify 0 into 0 3.606 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 3.606 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 3.606 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.606 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.606 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.606 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.606 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.606 * [taylor]: Taking taylor expansion of im in im 3.606 * [backup-simplify]: Simplify 0 into 0 3.606 * [backup-simplify]: Simplify 1 into 1 3.606 * [backup-simplify]: Simplify (* 1 1) into 1 3.606 * [backup-simplify]: Simplify (/ 1 1) into 1 3.606 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.606 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.606 * [taylor]: Taking taylor expansion of re in im 3.607 * [backup-simplify]: Simplify re into re 3.607 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.607 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.607 * [backup-simplify]: Simplify (+ 1 0) into 1 3.607 * [backup-simplify]: Simplify (sqrt 1) into 1 3.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.608 * [backup-simplify]: Simplify (+ 0 0) into 0 3.609 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.609 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.609 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.609 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.609 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.609 * [taylor]: Taking taylor expansion of im in re 3.609 * [backup-simplify]: Simplify im into im 3.609 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.609 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.609 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.609 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.609 * [taylor]: Taking taylor expansion of re in re 3.609 * [backup-simplify]: Simplify 0 into 0 3.609 * [backup-simplify]: Simplify 1 into 1 3.610 * [backup-simplify]: Simplify (* 1 1) into 1 3.610 * [backup-simplify]: Simplify (/ 1 1) into 1 3.610 * [backup-simplify]: Simplify (+ 0 1) into 1 3.610 * [backup-simplify]: Simplify (sqrt 1) into 1 3.611 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.611 * [backup-simplify]: Simplify (+ 0 0) into 0 3.612 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.612 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.612 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.612 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.612 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.612 * [taylor]: Taking taylor expansion of im in re 3.612 * [backup-simplify]: Simplify im into im 3.612 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.612 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.612 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.612 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.612 * [taylor]: Taking taylor expansion of re in re 3.612 * [backup-simplify]: Simplify 0 into 0 3.612 * [backup-simplify]: Simplify 1 into 1 3.613 * [backup-simplify]: Simplify (* 1 1) into 1 3.613 * [backup-simplify]: Simplify (/ 1 1) into 1 3.613 * [backup-simplify]: Simplify (+ 0 1) into 1 3.613 * [backup-simplify]: Simplify (sqrt 1) into 1 3.614 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.614 * [backup-simplify]: Simplify (+ 0 0) into 0 3.615 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.615 * [taylor]: Taking taylor expansion of 1 in im 3.615 * [backup-simplify]: Simplify 1 into 1 3.615 * [taylor]: Taking taylor expansion of 0 in im 3.615 * [backup-simplify]: Simplify 0 into 0 3.615 * [backup-simplify]: Simplify 1 into 1 3.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.617 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.617 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.618 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.618 * [taylor]: Taking taylor expansion of 1/2 in im 3.618 * [backup-simplify]: Simplify 1/2 into 1/2 3.618 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.618 * [taylor]: Taking taylor expansion of im in im 3.618 * [backup-simplify]: Simplify 0 into 0 3.618 * [backup-simplify]: Simplify 1 into 1 3.618 * [backup-simplify]: Simplify (* 1 1) into 1 3.618 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.619 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.619 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.619 * [backup-simplify]: Simplify 0 into 0 3.619 * [backup-simplify]: Simplify 0 into 0 3.619 * [backup-simplify]: Simplify 0 into 0 3.619 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.620 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.622 * [backup-simplify]: Simplify (+ 0 0) into 0 3.622 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.622 * [taylor]: Taking taylor expansion of 0 in im 3.622 * [backup-simplify]: Simplify 0 into 0 3.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.623 * [backup-simplify]: Simplify 0 into 0 3.623 * [backup-simplify]: Simplify 0 into 0 3.623 * [backup-simplify]: Simplify 0 into 0 3.624 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 3.624 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 3.624 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.624 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.624 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.624 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.624 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.624 * [taylor]: Taking taylor expansion of im in im 3.624 * [backup-simplify]: Simplify 0 into 0 3.624 * [backup-simplify]: Simplify 1 into 1 3.624 * [backup-simplify]: Simplify (* 1 1) into 1 3.624 * [backup-simplify]: Simplify (/ 1 1) into 1 3.624 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.624 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.624 * [taylor]: Taking taylor expansion of re in im 3.624 * [backup-simplify]: Simplify re into re 3.625 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.625 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.625 * [backup-simplify]: Simplify (+ 1 0) into 1 3.625 * [backup-simplify]: Simplify (sqrt 1) into 1 3.626 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.626 * [backup-simplify]: Simplify (+ 0 0) into 0 3.627 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.627 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.627 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.627 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.627 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.627 * [taylor]: Taking taylor expansion of im in re 3.627 * [backup-simplify]: Simplify im into im 3.627 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.627 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.627 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.627 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.627 * [taylor]: Taking taylor expansion of re in re 3.627 * [backup-simplify]: Simplify 0 into 0 3.627 * [backup-simplify]: Simplify 1 into 1 3.627 * [backup-simplify]: Simplify (* 1 1) into 1 3.627 * [backup-simplify]: Simplify (/ 1 1) into 1 3.628 * [backup-simplify]: Simplify (+ 0 1) into 1 3.628 * [backup-simplify]: Simplify (sqrt 1) into 1 3.628 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.629 * [backup-simplify]: Simplify (+ 0 0) into 0 3.629 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.629 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.630 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.630 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.630 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.630 * [taylor]: Taking taylor expansion of im in re 3.630 * [backup-simplify]: Simplify im into im 3.630 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.630 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.630 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.630 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.630 * [taylor]: Taking taylor expansion of re in re 3.630 * [backup-simplify]: Simplify 0 into 0 3.630 * [backup-simplify]: Simplify 1 into 1 3.630 * [backup-simplify]: Simplify (* 1 1) into 1 3.630 * [backup-simplify]: Simplify (/ 1 1) into 1 3.631 * [backup-simplify]: Simplify (+ 0 1) into 1 3.631 * [backup-simplify]: Simplify (sqrt 1) into 1 3.631 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.632 * [backup-simplify]: Simplify (+ 0 0) into 0 3.632 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.632 * [taylor]: Taking taylor expansion of 1 in im 3.632 * [backup-simplify]: Simplify 1 into 1 3.632 * [taylor]: Taking taylor expansion of 0 in im 3.632 * [backup-simplify]: Simplify 0 into 0 3.632 * [backup-simplify]: Simplify 1 into 1 3.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.634 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.634 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.635 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.635 * [taylor]: Taking taylor expansion of 1/2 in im 3.635 * [backup-simplify]: Simplify 1/2 into 1/2 3.635 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.635 * [taylor]: Taking taylor expansion of im in im 3.635 * [backup-simplify]: Simplify 0 into 0 3.635 * [backup-simplify]: Simplify 1 into 1 3.635 * [backup-simplify]: Simplify (* 1 1) into 1 3.635 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.636 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.636 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.636 * [backup-simplify]: Simplify 0 into 0 3.636 * [backup-simplify]: Simplify 0 into 0 3.636 * [backup-simplify]: Simplify 0 into 0 3.636 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.636 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.638 * [backup-simplify]: Simplify (+ 0 0) into 0 3.638 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.638 * [taylor]: Taking taylor expansion of 0 in im 3.638 * [backup-simplify]: Simplify 0 into 0 3.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.640 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.640 * [backup-simplify]: Simplify 0 into 0 3.640 * [backup-simplify]: Simplify 0 into 0 3.640 * [backup-simplify]: Simplify 0 into 0 3.640 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 3.640 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 3.641 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 3.641 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 3.641 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 3.641 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 3.641 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.641 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.641 * [taylor]: Taking taylor expansion of re in im 3.641 * [backup-simplify]: Simplify re into re 3.641 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.641 * [taylor]: Taking taylor expansion of im in im 3.641 * [backup-simplify]: Simplify 0 into 0 3.641 * [backup-simplify]: Simplify 1 into 1 3.641 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.641 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 3.641 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.642 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.642 * [backup-simplify]: Simplify (+ 0 0) into 0 3.642 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.642 * [taylor]: Taking taylor expansion of re in im 3.642 * [backup-simplify]: Simplify re into re 3.642 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 3.642 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.642 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.642 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.642 * [taylor]: Taking taylor expansion of re in re 3.642 * [backup-simplify]: Simplify 0 into 0 3.642 * [backup-simplify]: Simplify 1 into 1 3.642 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.642 * [taylor]: Taking taylor expansion of im in re 3.642 * [backup-simplify]: Simplify im into im 3.643 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.643 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.643 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.643 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.643 * [backup-simplify]: Simplify (+ 0 0) into 0 3.643 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.643 * [taylor]: Taking taylor expansion of re in re 3.644 * [backup-simplify]: Simplify 0 into 0 3.644 * [backup-simplify]: Simplify 1 into 1 3.644 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 3.644 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.644 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.644 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.644 * [taylor]: Taking taylor expansion of re in re 3.644 * [backup-simplify]: Simplify 0 into 0 3.644 * [backup-simplify]: Simplify 1 into 1 3.644 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.644 * [taylor]: Taking taylor expansion of im in re 3.644 * [backup-simplify]: Simplify im into im 3.644 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.644 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.644 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.644 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.645 * [backup-simplify]: Simplify (+ 0 0) into 0 3.645 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.645 * [taylor]: Taking taylor expansion of re in re 3.645 * [backup-simplify]: Simplify 0 into 0 3.645 * [backup-simplify]: Simplify 1 into 1 3.650 * [backup-simplify]: Simplify (- 0) into 0 3.651 * [backup-simplify]: Simplify (+ im 0) into im 3.651 * [taylor]: Taking taylor expansion of im in im 3.651 * [backup-simplify]: Simplify 0 into 0 3.651 * [backup-simplify]: Simplify 1 into 1 3.651 * [backup-simplify]: Simplify 0 into 0 3.651 * [backup-simplify]: Simplify (- 1) into -1 3.652 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.652 * [taylor]: Taking taylor expansion of -1 in im 3.652 * [backup-simplify]: Simplify -1 into -1 3.652 * [backup-simplify]: Simplify -1 into -1 3.652 * [backup-simplify]: Simplify 1 into 1 3.652 * [backup-simplify]: Simplify (* 1 1) into 1 3.653 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.653 * [backup-simplify]: Simplify (+ 1 0) into 1 3.654 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.654 * [backup-simplify]: Simplify (- 0) into 0 3.654 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 3.655 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 3.655 * [taylor]: Taking taylor expansion of 1/2 in im 3.655 * [backup-simplify]: Simplify 1/2 into 1/2 3.655 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.655 * [taylor]: Taking taylor expansion of im in im 3.655 * [backup-simplify]: Simplify 0 into 0 3.655 * [backup-simplify]: Simplify 1 into 1 3.655 * [backup-simplify]: Simplify (/ 1 1) into 1 3.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.656 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.656 * [backup-simplify]: Simplify 0 into 0 3.657 * [backup-simplify]: Simplify 0 into 0 3.657 * [backup-simplify]: Simplify 0 into 0 3.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.658 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.658 * [backup-simplify]: Simplify (+ 0 0) into 0 3.659 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.659 * [backup-simplify]: Simplify (- 0) into 0 3.659 * [backup-simplify]: Simplify (+ 0 0) into 0 3.659 * [taylor]: Taking taylor expansion of 0 in im 3.659 * [backup-simplify]: Simplify 0 into 0 3.659 * [backup-simplify]: Simplify 0 into 0 3.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.661 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.661 * [backup-simplify]: Simplify 0 into 0 3.661 * [backup-simplify]: Simplify 0 into 0 3.661 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 3.662 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 3.662 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 3.662 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 3.662 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.662 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.662 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.662 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.662 * [taylor]: Taking taylor expansion of im in im 3.662 * [backup-simplify]: Simplify 0 into 0 3.662 * [backup-simplify]: Simplify 1 into 1 3.663 * [backup-simplify]: Simplify (* 1 1) into 1 3.663 * [backup-simplify]: Simplify (/ 1 1) into 1 3.663 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.663 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.663 * [taylor]: Taking taylor expansion of re in im 3.663 * [backup-simplify]: Simplify re into re 3.663 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.664 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.664 * [backup-simplify]: Simplify (+ 1 0) into 1 3.664 * [backup-simplify]: Simplify (sqrt 1) into 1 3.665 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.666 * [backup-simplify]: Simplify (+ 0 0) into 0 3.667 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.667 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.667 * [taylor]: Taking taylor expansion of re in im 3.667 * [backup-simplify]: Simplify re into re 3.667 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.667 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 3.667 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.667 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.667 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.667 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.667 * [taylor]: Taking taylor expansion of im in re 3.667 * [backup-simplify]: Simplify im into im 3.667 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.667 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.667 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.667 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.667 * [taylor]: Taking taylor expansion of re in re 3.667 * [backup-simplify]: Simplify 0 into 0 3.667 * [backup-simplify]: Simplify 1 into 1 3.667 * [backup-simplify]: Simplify (* 1 1) into 1 3.668 * [backup-simplify]: Simplify (/ 1 1) into 1 3.668 * [backup-simplify]: Simplify (+ 0 1) into 1 3.668 * [backup-simplify]: Simplify (sqrt 1) into 1 3.669 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.670 * [backup-simplify]: Simplify (+ 0 0) into 0 3.670 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.670 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.670 * [taylor]: Taking taylor expansion of re in re 3.670 * [backup-simplify]: Simplify 0 into 0 3.670 * [backup-simplify]: Simplify 1 into 1 3.670 * [backup-simplify]: Simplify (/ 1 1) into 1 3.670 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 3.670 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.670 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.670 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.670 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.670 * [taylor]: Taking taylor expansion of im in re 3.670 * [backup-simplify]: Simplify im into im 3.670 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.671 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.671 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.671 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.671 * [taylor]: Taking taylor expansion of re in re 3.671 * [backup-simplify]: Simplify 0 into 0 3.671 * [backup-simplify]: Simplify 1 into 1 3.671 * [backup-simplify]: Simplify (* 1 1) into 1 3.671 * [backup-simplify]: Simplify (/ 1 1) into 1 3.671 * [backup-simplify]: Simplify (+ 0 1) into 1 3.672 * [backup-simplify]: Simplify (sqrt 1) into 1 3.672 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.673 * [backup-simplify]: Simplify (+ 0 0) into 0 3.673 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.673 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.673 * [taylor]: Taking taylor expansion of re in re 3.673 * [backup-simplify]: Simplify 0 into 0 3.673 * [backup-simplify]: Simplify 1 into 1 3.673 * [backup-simplify]: Simplify (/ 1 1) into 1 3.674 * [backup-simplify]: Simplify (- 1) into -1 3.674 * [backup-simplify]: Simplify (+ 1 -1) into 0 3.674 * [taylor]: Taking taylor expansion of 0 in im 3.674 * [backup-simplify]: Simplify 0 into 0 3.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.675 * [backup-simplify]: Simplify (- 0) into 0 3.675 * [backup-simplify]: Simplify (+ 0 0) into 0 3.675 * [taylor]: Taking taylor expansion of 0 in im 3.675 * [backup-simplify]: Simplify 0 into 0 3.675 * [backup-simplify]: Simplify 0 into 0 3.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.676 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.677 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.678 * [backup-simplify]: Simplify (- 0) into 0 3.678 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 3.678 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 3.678 * [taylor]: Taking taylor expansion of 1/2 in im 3.678 * [backup-simplify]: Simplify 1/2 into 1/2 3.678 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.678 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.678 * [taylor]: Taking taylor expansion of im in im 3.678 * [backup-simplify]: Simplify 0 into 0 3.678 * [backup-simplify]: Simplify 1 into 1 3.678 * [backup-simplify]: Simplify (* 1 1) into 1 3.678 * [backup-simplify]: Simplify (/ 1 1) into 1 3.679 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.680 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.680 * [backup-simplify]: Simplify 0 into 0 3.680 * [backup-simplify]: Simplify 0 into 0 3.680 * [backup-simplify]: Simplify 0 into 0 3.680 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.680 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.681 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.682 * [backup-simplify]: Simplify (+ 0 0) into 0 3.682 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.683 * [backup-simplify]: Simplify (- 0) into 0 3.683 * [backup-simplify]: Simplify (+ 0 0) into 0 3.683 * [taylor]: Taking taylor expansion of 0 in im 3.683 * [backup-simplify]: Simplify 0 into 0 3.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.685 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.685 * [backup-simplify]: Simplify 0 into 0 3.685 * [backup-simplify]: Simplify 0 into 0 3.685 * [backup-simplify]: Simplify 0 into 0 3.685 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 3.685 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 3.685 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 3.685 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.685 * [taylor]: Taking taylor expansion of re in im 3.685 * [backup-simplify]: Simplify re into re 3.685 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.686 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.686 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.686 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.686 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.686 * [taylor]: Taking taylor expansion of im in im 3.686 * [backup-simplify]: Simplify 0 into 0 3.686 * [backup-simplify]: Simplify 1 into 1 3.686 * [backup-simplify]: Simplify (* 1 1) into 1 3.686 * [backup-simplify]: Simplify (/ 1 1) into 1 3.686 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.686 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.686 * [taylor]: Taking taylor expansion of re in im 3.686 * [backup-simplify]: Simplify re into re 3.686 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.686 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.687 * [backup-simplify]: Simplify (+ 1 0) into 1 3.687 * [backup-simplify]: Simplify (sqrt 1) into 1 3.687 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.688 * [backup-simplify]: Simplify (+ 0 0) into 0 3.688 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.688 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 3.688 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.688 * [taylor]: Taking taylor expansion of re in re 3.688 * [backup-simplify]: Simplify 0 into 0 3.688 * [backup-simplify]: Simplify 1 into 1 3.689 * [backup-simplify]: Simplify (/ 1 1) into 1 3.689 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.689 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.689 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.689 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.689 * [taylor]: Taking taylor expansion of im in re 3.689 * [backup-simplify]: Simplify im into im 3.689 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.689 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.689 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.689 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.689 * [taylor]: Taking taylor expansion of re in re 3.689 * [backup-simplify]: Simplify 0 into 0 3.689 * [backup-simplify]: Simplify 1 into 1 3.689 * [backup-simplify]: Simplify (* 1 1) into 1 3.690 * [backup-simplify]: Simplify (/ 1 1) into 1 3.690 * [backup-simplify]: Simplify (+ 0 1) into 1 3.690 * [backup-simplify]: Simplify (sqrt 1) into 1 3.691 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.691 * [backup-simplify]: Simplify (+ 0 0) into 0 3.692 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.692 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 3.692 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.692 * [taylor]: Taking taylor expansion of re in re 3.692 * [backup-simplify]: Simplify 0 into 0 3.692 * [backup-simplify]: Simplify 1 into 1 3.692 * [backup-simplify]: Simplify (/ 1 1) into 1 3.692 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.692 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.692 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.692 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.692 * [taylor]: Taking taylor expansion of im in re 3.692 * [backup-simplify]: Simplify im into im 3.692 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.692 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.692 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.692 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.692 * [taylor]: Taking taylor expansion of re in re 3.692 * [backup-simplify]: Simplify 0 into 0 3.692 * [backup-simplify]: Simplify 1 into 1 3.693 * [backup-simplify]: Simplify (* 1 1) into 1 3.693 * [backup-simplify]: Simplify (/ 1 1) into 1 3.693 * [backup-simplify]: Simplify (+ 0 1) into 1 3.693 * [backup-simplify]: Simplify (sqrt 1) into 1 3.694 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.694 * [backup-simplify]: Simplify (+ 0 0) into 0 3.695 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.695 * [backup-simplify]: Simplify (+ 1 1) into 2 3.695 * [taylor]: Taking taylor expansion of 2 in im 3.695 * [backup-simplify]: Simplify 2 into 2 3.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.696 * [backup-simplify]: Simplify (+ 0 0) into 0 3.696 * [taylor]: Taking taylor expansion of 0 in im 3.696 * [backup-simplify]: Simplify 0 into 0 3.696 * [backup-simplify]: Simplify 2 into 2 3.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.698 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.698 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.699 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 3.699 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 3.699 * [taylor]: Taking taylor expansion of 1/2 in im 3.699 * [backup-simplify]: Simplify 1/2 into 1/2 3.699 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.699 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.699 * [taylor]: Taking taylor expansion of im in im 3.699 * [backup-simplify]: Simplify 0 into 0 3.699 * [backup-simplify]: Simplify 1 into 1 3.699 * [backup-simplify]: Simplify (* 1 1) into 1 3.699 * [backup-simplify]: Simplify (/ 1 1) into 1 3.700 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.700 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.700 * [backup-simplify]: Simplify 0 into 0 3.700 * [backup-simplify]: Simplify 0 into 0 3.700 * [backup-simplify]: Simplify 0 into 0 3.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.701 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.701 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.702 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.703 * [backup-simplify]: Simplify (+ 0 0) into 0 3.703 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.703 * [backup-simplify]: Simplify (+ 0 0) into 0 3.703 * [taylor]: Taking taylor expansion of 0 in im 3.703 * [backup-simplify]: Simplify 0 into 0 3.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.705 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.705 * [backup-simplify]: Simplify 0 into 0 3.705 * [backup-simplify]: Simplify 0 into 0 3.705 * [backup-simplify]: Simplify 0 into 0 3.705 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 3.705 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1) 3.705 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow re 2) (pow im 2))) 3.705 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 3.705 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 3.705 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.705 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.706 * [taylor]: Taking taylor expansion of re in im 3.706 * [backup-simplify]: Simplify re into re 3.706 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.706 * [taylor]: Taking taylor expansion of im in im 3.706 * [backup-simplify]: Simplify 0 into 0 3.706 * [backup-simplify]: Simplify 1 into 1 3.706 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.706 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 3.706 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.706 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.706 * [backup-simplify]: Simplify (+ 0 0) into 0 3.706 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.706 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.706 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.706 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.706 * [taylor]: Taking taylor expansion of re in re 3.706 * [backup-simplify]: Simplify 0 into 0 3.706 * [backup-simplify]: Simplify 1 into 1 3.706 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.706 * [taylor]: Taking taylor expansion of im in re 3.706 * [backup-simplify]: Simplify im into im 3.706 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.707 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.707 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.707 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.707 * [backup-simplify]: Simplify (+ 0 0) into 0 3.707 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.707 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.707 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.707 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.707 * [taylor]: Taking taylor expansion of re in re 3.707 * [backup-simplify]: Simplify 0 into 0 3.707 * [backup-simplify]: Simplify 1 into 1 3.707 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.707 * [taylor]: Taking taylor expansion of im in re 3.707 * [backup-simplify]: Simplify im into im 3.707 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.707 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.707 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.707 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.708 * [backup-simplify]: Simplify (+ 0 0) into 0 3.708 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.708 * [taylor]: Taking taylor expansion of im in im 3.708 * [backup-simplify]: Simplify 0 into 0 3.708 * [backup-simplify]: Simplify 1 into 1 3.708 * [backup-simplify]: Simplify 0 into 0 3.708 * [taylor]: Taking taylor expansion of 0 in im 3.708 * [backup-simplify]: Simplify 0 into 0 3.708 * [backup-simplify]: Simplify 0 into 0 3.708 * [backup-simplify]: Simplify 1 into 1 3.708 * [backup-simplify]: Simplify (* 1 1) into 1 3.708 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.709 * [backup-simplify]: Simplify (+ 1 0) into 1 3.709 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.709 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.709 * [taylor]: Taking taylor expansion of 1/2 in im 3.709 * [backup-simplify]: Simplify 1/2 into 1/2 3.709 * [taylor]: Taking taylor expansion of im in im 3.709 * [backup-simplify]: Simplify 0 into 0 3.709 * [backup-simplify]: Simplify 1 into 1 3.710 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.710 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.710 * [backup-simplify]: Simplify 0 into 0 3.710 * [backup-simplify]: Simplify 0 into 0 3.710 * [backup-simplify]: Simplify 0 into 0 3.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.711 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.711 * [backup-simplify]: Simplify (+ 0 0) into 0 3.711 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.711 * [taylor]: Taking taylor expansion of 0 in im 3.711 * [backup-simplify]: Simplify 0 into 0 3.711 * [backup-simplify]: Simplify 0 into 0 3.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.712 * [backup-simplify]: Simplify 0 into 0 3.712 * [backup-simplify]: Simplify 0 into 0 3.712 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 3.713 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 3.713 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.713 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.713 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.713 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.713 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.713 * [taylor]: Taking taylor expansion of im in im 3.713 * [backup-simplify]: Simplify 0 into 0 3.713 * [backup-simplify]: Simplify 1 into 1 3.713 * [backup-simplify]: Simplify (* 1 1) into 1 3.713 * [backup-simplify]: Simplify (/ 1 1) into 1 3.713 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.713 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.713 * [taylor]: Taking taylor expansion of re in im 3.713 * [backup-simplify]: Simplify re into re 3.713 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.713 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.714 * [backup-simplify]: Simplify (+ 1 0) into 1 3.714 * [backup-simplify]: Simplify (sqrt 1) into 1 3.714 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.715 * [backup-simplify]: Simplify (+ 0 0) into 0 3.715 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.715 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.715 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.715 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.715 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.716 * [taylor]: Taking taylor expansion of im in re 3.716 * [backup-simplify]: Simplify im into im 3.716 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.716 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.716 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.716 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.716 * [taylor]: Taking taylor expansion of re in re 3.716 * [backup-simplify]: Simplify 0 into 0 3.716 * [backup-simplify]: Simplify 1 into 1 3.716 * [backup-simplify]: Simplify (* 1 1) into 1 3.716 * [backup-simplify]: Simplify (/ 1 1) into 1 3.716 * [backup-simplify]: Simplify (+ 0 1) into 1 3.717 * [backup-simplify]: Simplify (sqrt 1) into 1 3.717 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.718 * [backup-simplify]: Simplify (+ 0 0) into 0 3.718 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.718 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.718 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.718 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.718 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.718 * [taylor]: Taking taylor expansion of im in re 3.718 * [backup-simplify]: Simplify im into im 3.718 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.718 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.719 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.719 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.719 * [taylor]: Taking taylor expansion of re in re 3.719 * [backup-simplify]: Simplify 0 into 0 3.719 * [backup-simplify]: Simplify 1 into 1 3.719 * [backup-simplify]: Simplify (* 1 1) into 1 3.719 * [backup-simplify]: Simplify (/ 1 1) into 1 3.719 * [backup-simplify]: Simplify (+ 0 1) into 1 3.720 * [backup-simplify]: Simplify (sqrt 1) into 1 3.720 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.721 * [backup-simplify]: Simplify (+ 0 0) into 0 3.721 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.721 * [taylor]: Taking taylor expansion of 1 in im 3.721 * [backup-simplify]: Simplify 1 into 1 3.721 * [taylor]: Taking taylor expansion of 0 in im 3.721 * [backup-simplify]: Simplify 0 into 0 3.721 * [backup-simplify]: Simplify 1 into 1 3.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.723 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.724 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.724 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.724 * [taylor]: Taking taylor expansion of 1/2 in im 3.724 * [backup-simplify]: Simplify 1/2 into 1/2 3.724 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.724 * [taylor]: Taking taylor expansion of im in im 3.724 * [backup-simplify]: Simplify 0 into 0 3.724 * [backup-simplify]: Simplify 1 into 1 3.724 * [backup-simplify]: Simplify (* 1 1) into 1 3.724 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.725 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.725 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.725 * [backup-simplify]: Simplify 0 into 0 3.725 * [backup-simplify]: Simplify 0 into 0 3.725 * [backup-simplify]: Simplify 0 into 0 3.725 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.726 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.727 * [backup-simplify]: Simplify (+ 0 0) into 0 3.727 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.727 * [taylor]: Taking taylor expansion of 0 in im 3.727 * [backup-simplify]: Simplify 0 into 0 3.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.729 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.729 * [backup-simplify]: Simplify 0 into 0 3.729 * [backup-simplify]: Simplify 0 into 0 3.729 * [backup-simplify]: Simplify 0 into 0 3.729 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 3.729 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 3.729 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.729 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.729 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.729 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.729 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.729 * [taylor]: Taking taylor expansion of im in im 3.729 * [backup-simplify]: Simplify 0 into 0 3.729 * [backup-simplify]: Simplify 1 into 1 3.730 * [backup-simplify]: Simplify (* 1 1) into 1 3.730 * [backup-simplify]: Simplify (/ 1 1) into 1 3.730 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.730 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.730 * [taylor]: Taking taylor expansion of re in im 3.730 * [backup-simplify]: Simplify re into re 3.730 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.730 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.730 * [backup-simplify]: Simplify (+ 1 0) into 1 3.731 * [backup-simplify]: Simplify (sqrt 1) into 1 3.731 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.732 * [backup-simplify]: Simplify (+ 0 0) into 0 3.732 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.732 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.732 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.732 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.732 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.732 * [taylor]: Taking taylor expansion of im in re 3.732 * [backup-simplify]: Simplify im into im 3.732 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.733 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.733 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.733 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.733 * [taylor]: Taking taylor expansion of re in re 3.733 * [backup-simplify]: Simplify 0 into 0 3.733 * [backup-simplify]: Simplify 1 into 1 3.733 * [backup-simplify]: Simplify (* 1 1) into 1 3.733 * [backup-simplify]: Simplify (/ 1 1) into 1 3.733 * [backup-simplify]: Simplify (+ 0 1) into 1 3.734 * [backup-simplify]: Simplify (sqrt 1) into 1 3.734 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.735 * [backup-simplify]: Simplify (+ 0 0) into 0 3.735 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.735 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.735 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.735 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.735 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.735 * [taylor]: Taking taylor expansion of im in re 3.735 * [backup-simplify]: Simplify im into im 3.735 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.735 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.736 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.736 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.736 * [taylor]: Taking taylor expansion of re in re 3.736 * [backup-simplify]: Simplify 0 into 0 3.736 * [backup-simplify]: Simplify 1 into 1 3.736 * [backup-simplify]: Simplify (* 1 1) into 1 3.736 * [backup-simplify]: Simplify (/ 1 1) into 1 3.736 * [backup-simplify]: Simplify (+ 0 1) into 1 3.737 * [backup-simplify]: Simplify (sqrt 1) into 1 3.737 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.738 * [backup-simplify]: Simplify (+ 0 0) into 0 3.738 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.738 * [taylor]: Taking taylor expansion of 1 in im 3.738 * [backup-simplify]: Simplify 1 into 1 3.738 * [taylor]: Taking taylor expansion of 0 in im 3.738 * [backup-simplify]: Simplify 0 into 0 3.738 * [backup-simplify]: Simplify 1 into 1 3.739 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.739 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.740 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.740 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.740 * [taylor]: Taking taylor expansion of 1/2 in im 3.740 * [backup-simplify]: Simplify 1/2 into 1/2 3.740 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.740 * [taylor]: Taking taylor expansion of im in im 3.740 * [backup-simplify]: Simplify 0 into 0 3.740 * [backup-simplify]: Simplify 1 into 1 3.741 * [backup-simplify]: Simplify (* 1 1) into 1 3.741 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.742 * [backup-simplify]: Simplify 0 into 0 3.742 * [backup-simplify]: Simplify 0 into 0 3.742 * [backup-simplify]: Simplify 0 into 0 3.742 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.743 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.744 * [backup-simplify]: Simplify (+ 0 0) into 0 3.744 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.744 * [taylor]: Taking taylor expansion of 0 in im 3.744 * [backup-simplify]: Simplify 0 into 0 3.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.745 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.746 * [backup-simplify]: Simplify 0 into 0 3.746 * [backup-simplify]: Simplify 0 into 0 3.746 * [backup-simplify]: Simplify 0 into 0 3.746 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 3.746 * * * [progress]: simplifying candidates 3.750 * [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) 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(sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* 2 1/2) (* 2 1) (* 2 (/ 1/2 2)) (* 2 (/ 1 2)) (* 2 (/ (/ 1 2) 2)) (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1)) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) im re (* -1 re) im re (* -1 re) (- im re) 0 (* -2 re) im re (* -1 re) 3.754 * * [simplify]: Extracting # 0 : cost 0 3.754 * * [simplify]: Extracting # 1 : cost 0 3.754 * * [simplify]: Extracting # 2 : cost 0 3.755 * * [simplify]: Extracting # 3 : cost 0 3.755 * * [simplify]: Extracting # 4 : cost 0 3.755 * * [simplify]: Extracting # 5 : cost 0 3.755 * * [simplify]: Extracting # 6 : cost 0 3.755 * * [simplify]: Extracting # 7 : cost 0 3.755 * * [simplify]: iteration 0 : 138 enodes (cost 3069 ) 3.790 * * [simplify]: Extracting # 0 : cost 0 3.790 * * [simplify]: Extracting # 1 : cost 0 3.791 * * [simplify]: Extracting # 2 : cost 0 3.791 * * [simplify]: Extracting # 3 : cost 0 3.791 * * [simplify]: Extracting # 4 : cost 0 3.791 * * [simplify]: Extracting # 5 : cost 0 3.792 * * [simplify]: iteration 1 : 259 enodes (cost 1761 ) 3.855 * * [simplify]: Extracting # 0 : cost 0 3.856 * * [simplify]: Extracting # 1 : cost 0 3.857 * * [simplify]: Extracting # 2 : cost 0 3.858 * * [simplify]: Extracting # 3 : cost 0 3.860 * * [simplify]: Extracting # 4 : cost 0 3.861 * * [simplify]: Extracting # 5 : cost 0 3.862 * * [simplify]: iteration 2 : 665 enodes (cost 1607 ) 4.370 * * [simplify]: Extracting # 0 : cost 0 4.372 * * [simplify]: Extracting # 1 : cost 0 4.374 * * [simplify]: Extracting # 2 : cost 0 4.376 * * [simplify]: Extracting # 3 : cost 0 4.378 * * [simplify]: Extracting # 4 : cost 0 4.380 * * [simplify]: Extracting # 5 : cost 0 4.382 * * [simplify]: iteration 3 : 1934 enodes (cost 1548 ) 6.018 * * [simplify]: Extracting # 0 : cost 0 6.024 * * [simplify]: Extracting # 1 : cost 0 6.030 * * [simplify]: Extracting # 2 : cost 0 6.036 * * [simplify]: Extracting # 3 : cost 0 6.042 * * [simplify]: Extracting # 4 : cost 0 6.056 * * [simplify]: iteration done: 5000 enodes (cost 1507 ) 6.058 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (pow (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) 4) (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)))) (pow (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) 4) (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)) (+ (* re (+ (+ re (sqrt (+ (* re re) (* im im)))) re)) (* im im)) (- re) (* im im) (+ re (sqrt (+ (* re re) (* im im)))) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- re) 1 1 2 1/2 1/2 1 1 1/2 1/2 (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))) (pow (sqrt (+ (* re re) (* im im))) 4) (+ (* re re) (* im im)) (pow (sqrt (+ (* re re) (* im im))) 4) 2 (log (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (pow (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) 4) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (+ (* re re) (* im im)) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (* (sqrt (sqrt (+ (pow im 6) (pow re 6)))) (sqrt (sqrt (- (pow re 4) (pow im 4))))) (* (sqrt (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))) (sqrt (sqrt (- (* re re) (* im im))))) (* (sqrt (sqrt (+ (pow im 6) (pow re 6)))) (sqrt (sqrt (- (pow re 4) (pow im 4))))) (* (sqrt (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))) (sqrt (sqrt (- (* re re) (* im im))))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) (pow (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 4) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (pow (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) 4) (cbrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 2 1/2 1 1/2 (pow (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 5) (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (+ (* re re) (* im im)))) (pow (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 4) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (+ (* re re) (* im im))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (+ (* re re) (* im im))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (+ (* re re) (* im im))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (pow im 6) (pow re 6))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (pow re 4) (pow im 4))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (pow im 6) (pow re 6))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (pow re 4) (pow im 4))))) im re (- re) im re (- re) (- im re) 0 (* -2 re) im re (- re) 6.060 * * * [progress]: adding candidates to table 6.538 * * [progress]: iteration 3 / 4 6.538 * * * [progress]: picking best candidate 6.569 * * * * [pick]: Picked # 6.569 * * * [progress]: localizing error 6.598 * * * [progress]: generating rewritten candidates 6.598 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 6.609 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 6.732 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1) 6.743 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 6.821 * * * [progress]: generating series expansions 6.821 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 6.821 * [backup-simplify]: Simplify (pow (+ (* re re) (* im im)) 1/2) into (pow (+ (pow re 2) (pow im 2)) 1/2) 6.822 * [approximate]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/2) in (re im) around 0 6.822 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/2) in im 6.822 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (+ (pow re 2) (pow im 2))))) in im 6.822 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (pow re 2) (pow im 2)))) in im 6.822 * [taylor]: Taking taylor expansion of 1/2 in im 6.822 * [backup-simplify]: Simplify 1/2 into 1/2 6.822 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im 6.822 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 6.822 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.822 * [taylor]: Taking taylor expansion of re in im 6.822 * [backup-simplify]: Simplify re into re 6.822 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.822 * [taylor]: Taking taylor expansion of im in im 6.822 * [backup-simplify]: Simplify 0 into 0 6.822 * [backup-simplify]: Simplify 1 into 1 6.822 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.822 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 6.822 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 6.822 * [backup-simplify]: Simplify (* 1/2 (log (pow re 2))) into (* 1/2 (log (pow re 2))) 6.823 * [backup-simplify]: Simplify (exp (* 1/2 (log (pow re 2)))) into (pow (pow re 2) 1/2) 6.823 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/2) in re 6.823 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (+ (pow re 2) (pow im 2))))) in re 6.823 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (pow re 2) (pow im 2)))) in re 6.823 * [taylor]: Taking taylor expansion of 1/2 in re 6.823 * [backup-simplify]: Simplify 1/2 into 1/2 6.823 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 6.823 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 6.823 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.823 * [taylor]: Taking taylor expansion of re in re 6.823 * [backup-simplify]: Simplify 0 into 0 6.823 * [backup-simplify]: Simplify 1 into 1 6.823 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.823 * [taylor]: Taking taylor expansion of im in re 6.823 * [backup-simplify]: Simplify im into im 6.823 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.823 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.823 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 6.823 * [backup-simplify]: Simplify (* 1/2 (log (pow im 2))) into (* 1/2 (log (pow im 2))) 6.823 * [backup-simplify]: Simplify (exp (* 1/2 (log (pow im 2)))) into (pow (pow im 2) 1/2) 6.823 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/2) in re 6.823 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (+ (pow re 2) (pow im 2))))) in re 6.823 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (pow re 2) (pow im 2)))) in re 6.823 * [taylor]: Taking taylor expansion of 1/2 in re 6.823 * [backup-simplify]: Simplify 1/2 into 1/2 6.823 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 6.823 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 6.823 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.823 * [taylor]: Taking taylor expansion of re in re 6.823 * [backup-simplify]: Simplify 0 into 0 6.823 * [backup-simplify]: Simplify 1 into 1 6.823 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.823 * [taylor]: Taking taylor expansion of im in re 6.823 * [backup-simplify]: Simplify im into im 6.824 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.824 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.824 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 6.824 * [backup-simplify]: Simplify (* 1/2 (log (pow im 2))) into (* 1/2 (log (pow im 2))) 6.824 * [backup-simplify]: Simplify (exp (* 1/2 (log (pow im 2)))) into (pow (pow im 2) 1/2) 6.824 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/2) in im 6.824 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (pow im 2)))) in im 6.824 * [taylor]: Taking taylor expansion of (* 1/2 (log (pow im 2))) in im 6.824 * [taylor]: Taking taylor expansion of 1/2 in im 6.824 * [backup-simplify]: Simplify 1/2 into 1/2 6.824 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 6.824 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.824 * [taylor]: Taking taylor expansion of im in im 6.824 * [backup-simplify]: Simplify 0 into 0 6.824 * [backup-simplify]: Simplify 1 into 1 6.825 * [backup-simplify]: Simplify (* 1 1) into 1 6.825 * [backup-simplify]: Simplify (log 1) into 0 6.825 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 6.825 * [backup-simplify]: Simplify (* 1/2 (* 2 (log im))) into (log im) 6.825 * [backup-simplify]: Simplify (exp (log im)) into im 6.825 * [backup-simplify]: Simplify im into im 6.826 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.826 * [backup-simplify]: Simplify (+ 0 0) into 0 6.827 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 6.827 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (log (pow im 2)))) into 0 6.828 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 6.828 * [taylor]: Taking taylor expansion of 0 in im 6.828 * [backup-simplify]: Simplify 0 into 0 6.828 * [backup-simplify]: Simplify 0 into 0 6.828 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.829 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.829 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 6.830 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* 2 (log im)))) into 0 6.830 * [backup-simplify]: Simplify (* (exp (log im)) (+ (* (/ (pow 0 1) 1)))) into 0 6.830 * [backup-simplify]: Simplify 0 into 0 6.831 * [backup-simplify]: Simplify (* 1 1) into 1 6.831 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.832 * [backup-simplify]: Simplify (+ 1 0) into 1 6.833 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2)) 6.833 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/2 (/ 1 (pow im 2))) 6.834 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/2 (/ 1 (pow im 2))) 1) 1)))) into (/ 1/2 im) 6.834 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 6.834 * [taylor]: Taking taylor expansion of 1/2 in im 6.834 * [backup-simplify]: Simplify 1/2 into 1/2 6.834 * [taylor]: Taking taylor expansion of im in im 6.834 * [backup-simplify]: Simplify 0 into 0 6.834 * [backup-simplify]: Simplify 1 into 1 6.834 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.835 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.835 * [backup-simplify]: Simplify 0 into 0 6.835 * [backup-simplify]: Simplify 0 into 0 6.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.837 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 6.837 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 6.838 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0 6.839 * [backup-simplify]: Simplify (* (exp (log im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.839 * [backup-simplify]: Simplify 0 into 0 6.839 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.840 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 6.840 * [backup-simplify]: Simplify (+ 0 0) into 0 6.842 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow im 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 2) 1)))) 6) into 0 6.842 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0 6.845 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/2 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.845 * [taylor]: Taking taylor expansion of 0 in im 6.845 * [backup-simplify]: Simplify 0 into 0 6.845 * [backup-simplify]: Simplify 0 into 0 6.845 * [backup-simplify]: Simplify im into im 6.845 * [backup-simplify]: Simplify (pow (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) 1/2) into (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) 6.845 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) in (re im) around 0 6.845 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) in im 6.845 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 6.845 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 6.845 * [taylor]: Taking taylor expansion of 1/2 in im 6.845 * [backup-simplify]: Simplify 1/2 into 1/2 6.845 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 6.845 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 6.845 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.845 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.845 * [taylor]: Taking taylor expansion of im in im 6.845 * [backup-simplify]: Simplify 0 into 0 6.845 * [backup-simplify]: Simplify 1 into 1 6.846 * [backup-simplify]: Simplify (* 1 1) into 1 6.846 * [backup-simplify]: Simplify (/ 1 1) into 1 6.846 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.846 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.846 * [taylor]: Taking taylor expansion of re in im 6.846 * [backup-simplify]: Simplify re into re 6.846 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.847 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.847 * [backup-simplify]: Simplify (+ 1 0) into 1 6.847 * [backup-simplify]: Simplify (log 1) into 0 6.848 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 6.848 * [backup-simplify]: Simplify (* 1/2 (- (* 2 (log im)))) into (* -1 (log im)) 6.848 * [backup-simplify]: Simplify (exp (* -1 (log im))) into (pow im -1) 6.848 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) in re 6.848 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 6.848 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 6.848 * [taylor]: Taking taylor expansion of 1/2 in re 6.848 * [backup-simplify]: Simplify 1/2 into 1/2 6.848 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.848 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.848 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.848 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.848 * [taylor]: Taking taylor expansion of im in re 6.848 * [backup-simplify]: Simplify im into im 6.848 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.849 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.849 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.849 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.849 * [taylor]: Taking taylor expansion of re in re 6.849 * [backup-simplify]: Simplify 0 into 0 6.849 * [backup-simplify]: Simplify 1 into 1 6.849 * [backup-simplify]: Simplify (* 1 1) into 1 6.849 * [backup-simplify]: Simplify (/ 1 1) into 1 6.850 * [backup-simplify]: Simplify (+ 0 1) into 1 6.850 * [backup-simplify]: Simplify (log 1) into 0 6.851 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 6.851 * [backup-simplify]: Simplify (* 1/2 (- (* 2 (log re)))) into (* -1 (log re)) 6.851 * [backup-simplify]: Simplify (exp (* -1 (log re))) into (pow re -1) 6.851 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) in re 6.851 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 6.851 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 6.851 * [taylor]: Taking taylor expansion of 1/2 in re 6.851 * [backup-simplify]: Simplify 1/2 into 1/2 6.851 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.851 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.851 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.851 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.851 * [taylor]: Taking taylor expansion of im in re 6.851 * [backup-simplify]: Simplify im into im 6.851 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.851 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.852 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.852 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.852 * [taylor]: Taking taylor expansion of re in re 6.852 * [backup-simplify]: Simplify 0 into 0 6.852 * [backup-simplify]: Simplify 1 into 1 6.852 * [backup-simplify]: Simplify (* 1 1) into 1 6.853 * [backup-simplify]: Simplify (/ 1 1) into 1 6.853 * [backup-simplify]: Simplify (+ 0 1) into 1 6.853 * [backup-simplify]: Simplify (log 1) into 0 6.854 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 6.854 * [backup-simplify]: Simplify (* 1/2 (- (* 2 (log re)))) into (* -1 (log re)) 6.854 * [backup-simplify]: Simplify (exp (* -1 (log re))) into (pow re -1) 6.854 * [taylor]: Taking taylor expansion of (pow re -1) in im 6.854 * [taylor]: Taking taylor expansion of re in im 6.854 * [backup-simplify]: Simplify re into re 6.854 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.854 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.855 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.856 * [backup-simplify]: Simplify (+ 0 0) into 0 6.857 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.858 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 6.858 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- (* 2 (log re))))) into 0 6.859 * [backup-simplify]: Simplify (* (exp (* -1 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 6.859 * [taylor]: Taking taylor expansion of 0 in im 6.859 * [backup-simplify]: Simplify 0 into 0 6.859 * [backup-simplify]: Simplify 0 into 0 6.859 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 6.859 * [backup-simplify]: Simplify 0 into 0 6.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.860 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 6.862 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 6.862 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 6.862 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/2 (/ 1 (pow im 2))) 6.863 * [backup-simplify]: Simplify (* (exp (* -1 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/2 (/ 1 (pow im 2))) 1) 1)))) into (/ 1/2 (* re (pow im 2))) 6.863 * [taylor]: Taking taylor expansion of (/ 1/2 (* re (pow im 2))) in im 6.863 * [taylor]: Taking taylor expansion of 1/2 in im 6.863 * [backup-simplify]: Simplify 1/2 into 1/2 6.863 * [taylor]: Taking taylor expansion of (* re (pow im 2)) in im 6.863 * [taylor]: Taking taylor expansion of re in im 6.863 * [backup-simplify]: Simplify re into re 6.863 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.863 * [taylor]: Taking taylor expansion of im in im 6.863 * [backup-simplify]: Simplify 0 into 0 6.863 * [backup-simplify]: Simplify 1 into 1 6.863 * [backup-simplify]: Simplify (* 1 1) into 1 6.863 * [backup-simplify]: Simplify (* re 1) into re 6.863 * [backup-simplify]: Simplify (/ 1/2 re) into (/ 1/2 re) 6.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.865 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 1))) into 0 6.865 * [backup-simplify]: Simplify (+ (* re 0) (* 0 1)) into 0 6.865 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ 1/2 re) (/ 0 re)))) into 0 6.865 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ 1/2 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 6.865 * [backup-simplify]: Simplify 0 into 0 6.865 * [backup-simplify]: Simplify 0 into 0 6.865 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 6.865 * [backup-simplify]: Simplify 0 into 0 6.866 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.866 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.867 * [backup-simplify]: Simplify (+ 0 0) into 0 6.869 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 6.870 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 6.870 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 6.872 * [backup-simplify]: Simplify (* (exp (* -1 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/2 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.872 * [taylor]: Taking taylor expansion of 0 in im 6.872 * [backup-simplify]: Simplify 0 into 0 6.872 * [backup-simplify]: Simplify 0 into 0 6.872 * [backup-simplify]: Simplify (/ 1 (/ 1 re)) into re 6.872 * [backup-simplify]: Simplify (pow (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) 1/2) into (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) 6.872 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) in (re im) around 0 6.872 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) in im 6.872 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 6.872 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 6.872 * [taylor]: Taking taylor expansion of 1/2 in im 6.873 * [backup-simplify]: Simplify 1/2 into 1/2 6.873 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 6.873 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 6.873 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.873 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.873 * [taylor]: Taking taylor expansion of im in im 6.873 * [backup-simplify]: Simplify 0 into 0 6.873 * [backup-simplify]: Simplify 1 into 1 6.873 * [backup-simplify]: Simplify (* 1 1) into 1 6.873 * [backup-simplify]: Simplify (/ 1 1) into 1 6.873 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.873 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.873 * [taylor]: Taking taylor expansion of re in im 6.873 * [backup-simplify]: Simplify re into re 6.873 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.873 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.874 * [backup-simplify]: Simplify (+ 1 0) into 1 6.874 * [backup-simplify]: Simplify (log 1) into 0 6.874 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 6.874 * [backup-simplify]: Simplify (* 1/2 (- (* 2 (log im)))) into (* -1 (log im)) 6.875 * [backup-simplify]: Simplify (exp (* -1 (log im))) into (pow im -1) 6.875 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) in re 6.875 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 6.875 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 6.875 * [taylor]: Taking taylor expansion of 1/2 in re 6.875 * [backup-simplify]: Simplify 1/2 into 1/2 6.875 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.875 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.875 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.875 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.875 * [taylor]: Taking taylor expansion of im in re 6.875 * [backup-simplify]: Simplify im into im 6.875 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.875 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.875 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.875 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.875 * [taylor]: Taking taylor expansion of re in re 6.875 * [backup-simplify]: Simplify 0 into 0 6.875 * [backup-simplify]: Simplify 1 into 1 6.875 * [backup-simplify]: Simplify (* 1 1) into 1 6.875 * [backup-simplify]: Simplify (/ 1 1) into 1 6.876 * [backup-simplify]: Simplify (+ 0 1) into 1 6.876 * [backup-simplify]: Simplify (log 1) into 0 6.876 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 6.876 * [backup-simplify]: Simplify (* 1/2 (- (* 2 (log re)))) into (* -1 (log re)) 6.876 * [backup-simplify]: Simplify (exp (* -1 (log re))) into (pow re -1) 6.876 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) in re 6.876 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 6.876 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 6.876 * [taylor]: Taking taylor expansion of 1/2 in re 6.876 * [backup-simplify]: Simplify 1/2 into 1/2 6.876 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.876 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.876 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.876 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.876 * [taylor]: Taking taylor expansion of im in re 6.877 * [backup-simplify]: Simplify im into im 6.877 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.877 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.877 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.877 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.877 * [taylor]: Taking taylor expansion of re in re 6.877 * [backup-simplify]: Simplify 0 into 0 6.877 * [backup-simplify]: Simplify 1 into 1 6.877 * [backup-simplify]: Simplify (* 1 1) into 1 6.877 * [backup-simplify]: Simplify (/ 1 1) into 1 6.877 * [backup-simplify]: Simplify (+ 0 1) into 1 6.878 * [backup-simplify]: Simplify (log 1) into 0 6.878 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 6.878 * [backup-simplify]: Simplify (* 1/2 (- (* 2 (log re)))) into (* -1 (log re)) 6.878 * [backup-simplify]: Simplify (exp (* -1 (log re))) into (pow re -1) 6.878 * [taylor]: Taking taylor expansion of (pow re -1) in im 6.878 * [taylor]: Taking taylor expansion of re in im 6.878 * [backup-simplify]: Simplify re into re 6.878 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.878 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.879 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.879 * [backup-simplify]: Simplify (+ 0 0) into 0 6.880 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.880 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 6.881 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- (* 2 (log re))))) into 0 6.881 * [backup-simplify]: Simplify (* (exp (* -1 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 6.881 * [taylor]: Taking taylor expansion of 0 in im 6.881 * [backup-simplify]: Simplify 0 into 0 6.881 * [backup-simplify]: Simplify 0 into 0 6.881 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 6.881 * [backup-simplify]: Simplify 0 into 0 6.882 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.883 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 6.884 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 6.884 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 6.885 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/2 (/ 1 (pow im 2))) 6.885 * [backup-simplify]: Simplify (* (exp (* -1 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/2 (/ 1 (pow im 2))) 1) 1)))) into (/ 1/2 (* re (pow im 2))) 6.885 * [taylor]: Taking taylor expansion of (/ 1/2 (* re (pow im 2))) in im 6.885 * [taylor]: Taking taylor expansion of 1/2 in im 6.885 * [backup-simplify]: Simplify 1/2 into 1/2 6.885 * [taylor]: Taking taylor expansion of (* re (pow im 2)) in im 6.885 * [taylor]: Taking taylor expansion of re in im 6.885 * [backup-simplify]: Simplify re into re 6.885 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.885 * [taylor]: Taking taylor expansion of im in im 6.885 * [backup-simplify]: Simplify 0 into 0 6.885 * [backup-simplify]: Simplify 1 into 1 6.886 * [backup-simplify]: Simplify (* 1 1) into 1 6.886 * [backup-simplify]: Simplify (* re 1) into re 6.886 * [backup-simplify]: Simplify (/ 1/2 re) into (/ 1/2 re) 6.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.887 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.887 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 1))) into 0 6.888 * [backup-simplify]: Simplify (+ (* re 0) (* 0 1)) into 0 6.888 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ 1/2 re) (/ 0 re)))) into 0 6.888 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ 1/2 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 6.888 * [backup-simplify]: Simplify 0 into 0 6.888 * [backup-simplify]: Simplify 0 into 0 6.888 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 6.888 * [backup-simplify]: Simplify 0 into 0 6.889 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.889 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.891 * [backup-simplify]: Simplify (+ 0 0) into 0 6.901 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 6.901 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 6.902 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 6.905 * [backup-simplify]: Simplify (* (exp (* -1 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/2 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.905 * [taylor]: Taking taylor expansion of 0 in im 6.905 * [backup-simplify]: Simplify 0 into 0 6.905 * [backup-simplify]: Simplify 0 into 0 6.905 * [backup-simplify]: Simplify (/ 1 (/ 1 (- re))) into (* -1 re) 6.905 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 6.905 * [backup-simplify]: Simplify (- (pow (+ (* re re) (* im im)) 1/2) re) into (- (pow (+ (pow re 2) (pow im 2)) 1/2) re) 6.905 * [approximate]: Taking taylor expansion of (- (pow (+ (pow re 2) (pow im 2)) 1/2) re) in (re im) around 0 6.905 * [taylor]: Taking taylor expansion of (- (pow (+ (pow re 2) (pow im 2)) 1/2) re) in im 6.906 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/2) in im 6.906 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (+ (pow re 2) (pow im 2))))) in im 6.906 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (pow re 2) (pow im 2)))) in im 6.906 * [taylor]: Taking taylor expansion of 1/2 in im 6.906 * [backup-simplify]: Simplify 1/2 into 1/2 6.906 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im 6.906 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 6.906 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.906 * [taylor]: Taking taylor expansion of re in im 6.906 * [backup-simplify]: Simplify re into re 6.906 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.906 * [taylor]: Taking taylor expansion of im in im 6.906 * [backup-simplify]: Simplify 0 into 0 6.906 * [backup-simplify]: Simplify 1 into 1 6.906 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.906 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 6.906 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 6.907 * [backup-simplify]: Simplify (* 1/2 (log (pow re 2))) into (* 1/2 (log (pow re 2))) 6.907 * [backup-simplify]: Simplify (exp (* 1/2 (log (pow re 2)))) into (pow (pow re 2) 1/2) 6.907 * [taylor]: Taking taylor expansion of re in im 6.907 * [backup-simplify]: Simplify re into re 6.907 * [taylor]: Taking taylor expansion of (- (pow (+ (pow re 2) (pow im 2)) 1/2) re) in re 6.907 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/2) in re 6.907 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (+ (pow re 2) (pow im 2))))) in re 6.907 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (pow re 2) (pow im 2)))) in re 6.907 * [taylor]: Taking taylor expansion of 1/2 in re 6.907 * [backup-simplify]: Simplify 1/2 into 1/2 6.907 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 6.907 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 6.907 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.907 * [taylor]: Taking taylor expansion of re in re 6.907 * [backup-simplify]: Simplify 0 into 0 6.907 * [backup-simplify]: Simplify 1 into 1 6.907 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.907 * [taylor]: Taking taylor expansion of im in re 6.907 * [backup-simplify]: Simplify im into im 6.907 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.908 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.908 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 6.908 * [backup-simplify]: Simplify (* 1/2 (log (pow im 2))) into (* 1/2 (log (pow im 2))) 6.908 * [backup-simplify]: Simplify (exp (* 1/2 (log (pow im 2)))) into (pow (pow im 2) 1/2) 6.908 * [taylor]: Taking taylor expansion of re in re 6.908 * [backup-simplify]: Simplify 0 into 0 6.908 * [backup-simplify]: Simplify 1 into 1 6.908 * [taylor]: Taking taylor expansion of (- (pow (+ (pow re 2) (pow im 2)) 1/2) re) in re 6.908 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/2) in re 6.908 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (+ (pow re 2) (pow im 2))))) in re 6.908 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (pow re 2) (pow im 2)))) in re 6.908 * [taylor]: Taking taylor expansion of 1/2 in re 6.908 * [backup-simplify]: Simplify 1/2 into 1/2 6.908 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 6.908 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 6.908 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.908 * [taylor]: Taking taylor expansion of re in re 6.908 * [backup-simplify]: Simplify 0 into 0 6.908 * [backup-simplify]: Simplify 1 into 1 6.908 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.908 * [taylor]: Taking taylor expansion of im in re 6.909 * [backup-simplify]: Simplify im into im 6.909 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.909 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.909 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 6.909 * [backup-simplify]: Simplify (* 1/2 (log (pow im 2))) into (* 1/2 (log (pow im 2))) 6.909 * [backup-simplify]: Simplify (exp (* 1/2 (log (pow im 2)))) into (pow (pow im 2) 1/2) 6.909 * [taylor]: Taking taylor expansion of re in re 6.909 * [backup-simplify]: Simplify 0 into 0 6.909 * [backup-simplify]: Simplify 1 into 1 6.910 * [backup-simplify]: Simplify (- 0) into 0 6.910 * [backup-simplify]: Simplify (+ (pow (pow im 2) 1/2) 0) into (pow (pow im 2) 1/2) 6.910 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/2) in im 6.910 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (pow im 2)))) in im 6.910 * [taylor]: Taking taylor expansion of (* 1/2 (log (pow im 2))) in im 6.910 * [taylor]: Taking taylor expansion of 1/2 in im 6.910 * [backup-simplify]: Simplify 1/2 into 1/2 6.910 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 6.910 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.910 * [taylor]: Taking taylor expansion of im in im 6.910 * [backup-simplify]: Simplify 0 into 0 6.910 * [backup-simplify]: Simplify 1 into 1 6.911 * [backup-simplify]: Simplify (* 1 1) into 1 6.911 * [backup-simplify]: Simplify (log 1) into 0 6.912 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 6.912 * [backup-simplify]: Simplify (* 1/2 (* 2 (log im))) into (log im) 6.912 * [backup-simplify]: Simplify (exp (log im)) into im 6.912 * [backup-simplify]: Simplify im into im 6.912 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.912 * [backup-simplify]: Simplify (+ 0 0) into 0 6.913 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 6.914 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (log (pow im 2)))) into 0 6.915 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 6.915 * [backup-simplify]: Simplify (- 1) into -1 6.916 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.916 * [taylor]: Taking taylor expansion of -1 in im 6.916 * [backup-simplify]: Simplify -1 into -1 6.916 * [backup-simplify]: Simplify -1 into -1 6.916 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.918 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.918 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 6.919 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* 2 (log im)))) into 0 6.919 * [backup-simplify]: Simplify (* (exp (log im)) (+ (* (/ (pow 0 1) 1)))) into 0 6.919 * [backup-simplify]: Simplify 0 into 0 6.920 * [backup-simplify]: Simplify (* 1 1) into 1 6.920 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.920 * [backup-simplify]: Simplify (+ 1 0) into 1 6.921 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2)) 6.922 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/2 (/ 1 (pow im 2))) 6.922 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/2 (/ 1 (pow im 2))) 1) 1)))) into (/ 1/2 im) 6.923 * [backup-simplify]: Simplify (- 0) into 0 6.923 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 6.923 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 6.923 * [taylor]: Taking taylor expansion of 1/2 in im 6.923 * [backup-simplify]: Simplify 1/2 into 1/2 6.923 * [taylor]: Taking taylor expansion of (/ 1 im) in im 6.923 * [taylor]: Taking taylor expansion of im in im 6.923 * [backup-simplify]: Simplify 0 into 0 6.923 * [backup-simplify]: Simplify 1 into 1 6.923 * [backup-simplify]: Simplify (/ 1 1) into 1 6.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.924 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.924 * [backup-simplify]: Simplify 0 into 0 6.924 * [backup-simplify]: Simplify 0 into 0 6.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.926 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 6.926 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 6.927 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0 6.928 * [backup-simplify]: Simplify (* (exp (log im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.928 * [backup-simplify]: Simplify 0 into 0 6.928 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.929 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 6.929 * [backup-simplify]: Simplify (+ 0 0) into 0 6.931 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow im 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 2) 1)))) 6) into 0 6.932 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0 6.933 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/2 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.933 * [backup-simplify]: Simplify (- 0) into 0 6.933 * [backup-simplify]: Simplify (+ 0 0) into 0 6.933 * [taylor]: Taking taylor expansion of 0 in im 6.933 * [backup-simplify]: Simplify 0 into 0 6.933 * [backup-simplify]: Simplify 0 into 0 6.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.935 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 6.935 * [backup-simplify]: Simplify 0 into 0 6.935 * [backup-simplify]: Simplify (+ (* -1 (* 1 re)) im) into (- im re) 6.935 * [backup-simplify]: Simplify (- (pow (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) 1/2) (/ 1 re)) into (- (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re)) 6.935 * [approximate]: Taking taylor expansion of (- (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re)) in (re im) around 0 6.935 * [taylor]: Taking taylor expansion of (- (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re)) in im 6.935 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) in im 6.935 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 6.935 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 6.935 * [taylor]: Taking taylor expansion of 1/2 in im 6.935 * [backup-simplify]: Simplify 1/2 into 1/2 6.935 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 6.935 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 6.935 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.935 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.935 * [taylor]: Taking taylor expansion of im in im 6.935 * [backup-simplify]: Simplify 0 into 0 6.935 * [backup-simplify]: Simplify 1 into 1 6.935 * [backup-simplify]: Simplify (* 1 1) into 1 6.936 * [backup-simplify]: Simplify (/ 1 1) into 1 6.936 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.936 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.936 * [taylor]: Taking taylor expansion of re in im 6.936 * [backup-simplify]: Simplify re into re 6.936 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.936 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.936 * [backup-simplify]: Simplify (+ 1 0) into 1 6.936 * [backup-simplify]: Simplify (log 1) into 0 6.937 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 6.937 * [backup-simplify]: Simplify (* 1/2 (- (* 2 (log im)))) into (* -1 (log im)) 6.937 * [backup-simplify]: Simplify (exp (* -1 (log im))) into (pow im -1) 6.937 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.937 * [taylor]: Taking taylor expansion of re in im 6.937 * [backup-simplify]: Simplify re into re 6.937 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.937 * [taylor]: Taking taylor expansion of (- (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re)) in re 6.937 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) in re 6.937 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 6.937 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 6.937 * [taylor]: Taking taylor expansion of 1/2 in re 6.937 * [backup-simplify]: Simplify 1/2 into 1/2 6.937 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.937 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.937 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.937 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.937 * [taylor]: Taking taylor expansion of im in re 6.937 * [backup-simplify]: Simplify im into im 6.937 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.937 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.937 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.937 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.937 * [taylor]: Taking taylor expansion of re in re 6.937 * [backup-simplify]: Simplify 0 into 0 6.937 * [backup-simplify]: Simplify 1 into 1 6.938 * [backup-simplify]: Simplify (* 1 1) into 1 6.938 * [backup-simplify]: Simplify (/ 1 1) into 1 6.938 * [backup-simplify]: Simplify (+ 0 1) into 1 6.938 * [backup-simplify]: Simplify (log 1) into 0 6.939 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 6.939 * [backup-simplify]: Simplify (* 1/2 (- (* 2 (log re)))) into (* -1 (log re)) 6.939 * [backup-simplify]: Simplify (exp (* -1 (log re))) into (pow re -1) 6.939 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.939 * [taylor]: Taking taylor expansion of re in re 6.939 * [backup-simplify]: Simplify 0 into 0 6.939 * [backup-simplify]: Simplify 1 into 1 6.939 * [backup-simplify]: Simplify (/ 1 1) into 1 6.940 * [taylor]: Taking taylor expansion of (- (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re)) in re 6.940 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) in re 6.940 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 6.940 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 6.940 * [taylor]: Taking taylor expansion of 1/2 in re 6.940 * [backup-simplify]: Simplify 1/2 into 1/2 6.940 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.940 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.940 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.940 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.940 * [taylor]: Taking taylor expansion of im in re 6.940 * [backup-simplify]: Simplify im into im 6.940 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.940 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.940 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.940 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.940 * [taylor]: Taking taylor expansion of re in re 6.940 * [backup-simplify]: Simplify 0 into 0 6.940 * [backup-simplify]: Simplify 1 into 1 6.941 * [backup-simplify]: Simplify (* 1 1) into 1 6.941 * [backup-simplify]: Simplify (/ 1 1) into 1 6.941 * [backup-simplify]: Simplify (+ 0 1) into 1 6.942 * [backup-simplify]: Simplify (log 1) into 0 6.942 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 6.942 * [backup-simplify]: Simplify (* 1/2 (- (* 2 (log re)))) into (* -1 (log re)) 6.942 * [backup-simplify]: Simplify (exp (* -1 (log re))) into (pow re -1) 6.942 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.942 * [taylor]: Taking taylor expansion of re in re 6.942 * [backup-simplify]: Simplify 0 into 0 6.942 * [backup-simplify]: Simplify 1 into 1 6.943 * [backup-simplify]: Simplify (/ 1 1) into 1 6.943 * [backup-simplify]: Simplify (- 1) into -1 6.944 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.944 * [taylor]: Taking taylor expansion of -1 in im 6.944 * [backup-simplify]: Simplify -1 into -1 6.944 * [backup-simplify]: Simplify -1 into -1 6.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.945 * [backup-simplify]: Simplify (- 0) into 0 6.945 * [backup-simplify]: Simplify (+ (pow re -1) 0) into (pow re -1) 6.945 * [taylor]: Taking taylor expansion of (pow re -1) in im 6.945 * [taylor]: Taking taylor expansion of re in im 6.945 * [backup-simplify]: Simplify re into re 6.945 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.945 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.945 * [backup-simplify]: Simplify 0 into 0 6.946 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.947 * [backup-simplify]: Simplify (+ 0 0) into 0 6.948 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.949 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 6.949 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- (* 2 (log re))))) into 0 6.950 * [backup-simplify]: Simplify (* (exp (* -1 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 6.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.951 * [backup-simplify]: Simplify (- 0) into 0 6.952 * [backup-simplify]: Simplify (+ 0 0) into 0 6.952 * [taylor]: Taking taylor expansion of 0 in im 6.952 * [backup-simplify]: Simplify 0 into 0 6.952 * [backup-simplify]: Simplify 0 into 0 6.952 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 6.952 * [backup-simplify]: Simplify 0 into 0 6.952 * [backup-simplify]: Simplify 0 into 0 6.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.954 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 6.956 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 6.957 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 6.957 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/2 (/ 1 (pow im 2))) 6.959 * [backup-simplify]: Simplify (* (exp (* -1 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/2 (/ 1 (pow im 2))) 1) 1)))) into (/ 1/2 (* re (pow im 2))) 6.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.960 * [backup-simplify]: Simplify (- 0) into 0 6.960 * [backup-simplify]: Simplify (+ (/ 1/2 (* re (pow im 2))) 0) into (* 1/2 (/ 1 (* re (pow im 2)))) 6.960 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* re (pow im 2)))) in im 6.960 * [taylor]: Taking taylor expansion of 1/2 in im 6.960 * [backup-simplify]: Simplify 1/2 into 1/2 6.960 * [taylor]: Taking taylor expansion of (/ 1 (* re (pow im 2))) in im 6.960 * [taylor]: Taking taylor expansion of (* re (pow im 2)) in im 6.960 * [taylor]: Taking taylor expansion of re in im 6.960 * [backup-simplify]: Simplify re into re 6.960 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.960 * [taylor]: Taking taylor expansion of im in im 6.961 * [backup-simplify]: Simplify 0 into 0 6.961 * [backup-simplify]: Simplify 1 into 1 6.961 * [backup-simplify]: Simplify (* 1 1) into 1 6.961 * [backup-simplify]: Simplify (* re 1) into re 6.961 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.963 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.963 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 1))) into 0 6.964 * [backup-simplify]: Simplify (+ (* re 0) (* 0 1)) into 0 6.964 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 6.964 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 6.965 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 re)))) into 0 6.965 * [backup-simplify]: Simplify 0 into 0 6.965 * [backup-simplify]: Simplify 0 into 0 6.965 * [backup-simplify]: Simplify (+ (/ 1 (/ 1 re)) (* -1 (* 1 (/ 1 (/ 1 re))))) into 0 6.966 * [backup-simplify]: Simplify (- (pow (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) 1/2) (/ 1 (- re))) into (+ (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re)) 6.966 * [approximate]: Taking taylor expansion of (+ (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re)) in (re im) around 0 6.966 * [taylor]: Taking taylor expansion of (+ (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re)) in im 6.966 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) in im 6.966 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 6.966 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 6.966 * [taylor]: Taking taylor expansion of 1/2 in im 6.966 * [backup-simplify]: Simplify 1/2 into 1/2 6.966 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 6.966 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 6.966 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.967 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.967 * [taylor]: Taking taylor expansion of im in im 6.967 * [backup-simplify]: Simplify 0 into 0 6.967 * [backup-simplify]: Simplify 1 into 1 6.967 * [backup-simplify]: Simplify (* 1 1) into 1 6.967 * [backup-simplify]: Simplify (/ 1 1) into 1 6.967 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.967 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.967 * [taylor]: Taking taylor expansion of re in im 6.968 * [backup-simplify]: Simplify re into re 6.968 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.968 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.968 * [backup-simplify]: Simplify (+ 1 0) into 1 6.969 * [backup-simplify]: Simplify (log 1) into 0 6.969 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 6.969 * [backup-simplify]: Simplify (* 1/2 (- (* 2 (log im)))) into (* -1 (log im)) 6.969 * [backup-simplify]: Simplify (exp (* -1 (log im))) into (pow im -1) 6.969 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.969 * [taylor]: Taking taylor expansion of re in im 6.969 * [backup-simplify]: Simplify re into re 6.969 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.969 * [taylor]: Taking taylor expansion of (+ (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re)) in re 6.969 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) in re 6.970 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 6.970 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 6.970 * [taylor]: Taking taylor expansion of 1/2 in re 6.970 * [backup-simplify]: Simplify 1/2 into 1/2 6.970 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.970 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.970 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.970 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.970 * [taylor]: Taking taylor expansion of im in re 6.970 * [backup-simplify]: Simplify im into im 6.970 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.970 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.970 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.970 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.970 * [taylor]: Taking taylor expansion of re in re 6.970 * [backup-simplify]: Simplify 0 into 0 6.970 * [backup-simplify]: Simplify 1 into 1 6.971 * [backup-simplify]: Simplify (* 1 1) into 1 6.971 * [backup-simplify]: Simplify (/ 1 1) into 1 6.971 * [backup-simplify]: Simplify (+ 0 1) into 1 6.972 * [backup-simplify]: Simplify (log 1) into 0 6.973 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 6.973 * [backup-simplify]: Simplify (* 1/2 (- (* 2 (log re)))) into (* -1 (log re)) 6.973 * [backup-simplify]: Simplify (exp (* -1 (log re))) into (pow re -1) 6.973 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.973 * [taylor]: Taking taylor expansion of re in re 6.973 * [backup-simplify]: Simplify 0 into 0 6.973 * [backup-simplify]: Simplify 1 into 1 6.973 * [backup-simplify]: Simplify (/ 1 1) into 1 6.973 * [taylor]: Taking taylor expansion of (+ (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re)) in re 6.973 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) in re 6.973 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 6.974 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 6.974 * [taylor]: Taking taylor expansion of 1/2 in re 6.974 * [backup-simplify]: Simplify 1/2 into 1/2 6.974 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.974 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.974 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.974 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.974 * [taylor]: Taking taylor expansion of im in re 6.974 * [backup-simplify]: Simplify im into im 6.974 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.974 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.974 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.974 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.974 * [taylor]: Taking taylor expansion of re in re 6.974 * [backup-simplify]: Simplify 0 into 0 6.974 * [backup-simplify]: Simplify 1 into 1 6.975 * [backup-simplify]: Simplify (* 1 1) into 1 6.975 * [backup-simplify]: Simplify (/ 1 1) into 1 6.975 * [backup-simplify]: Simplify (+ 0 1) into 1 6.976 * [backup-simplify]: Simplify (log 1) into 0 6.976 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 6.976 * [backup-simplify]: Simplify (* 1/2 (- (* 2 (log re)))) into (* -1 (log re)) 6.976 * [backup-simplify]: Simplify (exp (* -1 (log re))) into (pow re -1) 6.977 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.977 * [taylor]: Taking taylor expansion of re in re 6.977 * [backup-simplify]: Simplify 0 into 0 6.977 * [backup-simplify]: Simplify 1 into 1 6.977 * [backup-simplify]: Simplify (/ 1 1) into 1 6.977 * [backup-simplify]: Simplify (+ 0 1) into 1 6.978 * [taylor]: Taking taylor expansion of 1 in im 6.978 * [backup-simplify]: Simplify 1 into 1 6.978 * [backup-simplify]: Simplify 1 into 1 6.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.979 * [backup-simplify]: Simplify (+ (pow re -1) 0) into (pow re -1) 6.979 * [taylor]: Taking taylor expansion of (pow re -1) in im 6.979 * [taylor]: Taking taylor expansion of re in im 6.979 * [backup-simplify]: Simplify re into re 6.979 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.979 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.979 * [backup-simplify]: Simplify 0 into 0 6.980 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.981 * [backup-simplify]: Simplify (+ 0 0) into 0 6.982 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.983 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 6.983 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- (* 2 (log re))))) into 0 6.984 * [backup-simplify]: Simplify (* (exp (* -1 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 6.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.985 * [backup-simplify]: Simplify (+ 0 0) into 0 6.986 * [taylor]: Taking taylor expansion of 0 in im 6.986 * [backup-simplify]: Simplify 0 into 0 6.986 * [backup-simplify]: Simplify 0 into 0 6.986 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 6.986 * [backup-simplify]: Simplify 0 into 0 6.986 * [backup-simplify]: Simplify 0 into 0 6.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.987 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 6.989 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 6.989 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 6.989 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/2 (/ 1 (pow im 2))) 6.990 * [backup-simplify]: Simplify (* (exp (* -1 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/2 (/ 1 (pow im 2))) 1) 1)))) into (/ 1/2 (* re (pow im 2))) 6.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.991 * [backup-simplify]: Simplify (+ (/ 1/2 (* re (pow im 2))) 0) into (* 1/2 (/ 1 (* re (pow im 2)))) 6.991 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* re (pow im 2)))) in im 6.991 * [taylor]: Taking taylor expansion of 1/2 in im 6.991 * [backup-simplify]: Simplify 1/2 into 1/2 6.991 * [taylor]: Taking taylor expansion of (/ 1 (* re (pow im 2))) in im 6.991 * [taylor]: Taking taylor expansion of (* re (pow im 2)) in im 6.991 * [taylor]: Taking taylor expansion of re in im 6.991 * [backup-simplify]: Simplify re into re 6.991 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.991 * [taylor]: Taking taylor expansion of im in im 6.991 * [backup-simplify]: Simplify 0 into 0 6.991 * [backup-simplify]: Simplify 1 into 1 6.991 * [backup-simplify]: Simplify (* 1 1) into 1 6.991 * [backup-simplify]: Simplify (* re 1) into re 6.991 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.992 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.992 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 1))) into 0 6.993 * [backup-simplify]: Simplify (+ (* re 0) (* 0 1)) into 0 6.993 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 6.993 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 6.993 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 re)))) into 0 6.993 * [backup-simplify]: Simplify 0 into 0 6.993 * [backup-simplify]: Simplify 0 into 0 6.994 * [backup-simplify]: Simplify (+ (/ 1 (/ 1 (- re))) (* 1 (* 1 (/ 1 (/ 1 (- re)))))) into (- (* 2 re)) 6.994 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1) 6.994 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2)) 6.994 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 6.994 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 6.994 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.994 * [taylor]: Taking taylor expansion of re in im 6.994 * [backup-simplify]: Simplify re into re 6.994 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.994 * [taylor]: Taking taylor expansion of im in im 6.994 * [backup-simplify]: Simplify 0 into 0 6.994 * [backup-simplify]: Simplify 1 into 1 6.994 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 6.994 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.994 * [taylor]: Taking taylor expansion of re in re 6.994 * [backup-simplify]: Simplify 0 into 0 6.994 * [backup-simplify]: Simplify 1 into 1 6.994 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.994 * [taylor]: Taking taylor expansion of im in re 6.994 * [backup-simplify]: Simplify im into im 6.994 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 6.994 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.994 * [taylor]: Taking taylor expansion of re in re 6.994 * [backup-simplify]: Simplify 0 into 0 6.994 * [backup-simplify]: Simplify 1 into 1 6.994 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.994 * [taylor]: Taking taylor expansion of im in re 6.994 * [backup-simplify]: Simplify im into im 6.994 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.994 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.994 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.994 * [taylor]: Taking taylor expansion of im in im 6.994 * [backup-simplify]: Simplify 0 into 0 6.994 * [backup-simplify]: Simplify 1 into 1 6.995 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.995 * [backup-simplify]: Simplify (+ 0 0) into 0 6.995 * [taylor]: Taking taylor expansion of 0 in im 6.995 * [backup-simplify]: Simplify 0 into 0 6.995 * [backup-simplify]: Simplify 0 into 0 6.995 * [backup-simplify]: Simplify (* 1 1) into 1 6.995 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.996 * [backup-simplify]: Simplify (+ 1 0) into 1 6.996 * [taylor]: Taking taylor expansion of 1 in im 6.996 * [backup-simplify]: Simplify 1 into 1 6.996 * [backup-simplify]: Simplify 1 into 1 6.996 * [backup-simplify]: Simplify 0 into 0 6.996 * [backup-simplify]: Simplify (* 1 1) into 1 6.996 * [backup-simplify]: Simplify 1 into 1 6.996 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.997 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 6.997 * [backup-simplify]: Simplify (+ 0 0) into 0 6.997 * [taylor]: Taking taylor expansion of 0 in im 6.997 * [backup-simplify]: Simplify 0 into 0 6.997 * [backup-simplify]: Simplify 0 into 0 6.997 * [backup-simplify]: Simplify 0 into 0 6.997 * [backup-simplify]: Simplify 0 into 0 6.998 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.998 * [backup-simplify]: Simplify 0 into 0 6.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.999 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 6.999 * [backup-simplify]: Simplify (+ 0 0) into 0 6.999 * [taylor]: Taking taylor expansion of 0 in im 6.999 * [backup-simplify]: Simplify 0 into 0 6.999 * [backup-simplify]: Simplify 0 into 0 6.999 * [backup-simplify]: Simplify 0 into 0 6.999 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2)) 7.000 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 7.000 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 7.000 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 7.000 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.000 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.000 * [taylor]: Taking taylor expansion of im in im 7.000 * [backup-simplify]: Simplify 0 into 0 7.000 * [backup-simplify]: Simplify 1 into 1 7.000 * [backup-simplify]: Simplify (* 1 1) into 1 7.000 * [backup-simplify]: Simplify (/ 1 1) into 1 7.000 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.000 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.000 * [taylor]: Taking taylor expansion of re in im 7.000 * [backup-simplify]: Simplify re into re 7.000 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.000 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.000 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.000 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.000 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.000 * [taylor]: Taking taylor expansion of im in re 7.001 * [backup-simplify]: Simplify im into im 7.001 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.001 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.001 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.001 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.001 * [taylor]: Taking taylor expansion of re in re 7.001 * [backup-simplify]: Simplify 0 into 0 7.001 * [backup-simplify]: Simplify 1 into 1 7.001 * [backup-simplify]: Simplify (* 1 1) into 1 7.001 * [backup-simplify]: Simplify (/ 1 1) into 1 7.001 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.001 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.001 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.001 * [taylor]: Taking taylor expansion of im in re 7.001 * [backup-simplify]: Simplify im into im 7.001 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.001 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.001 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.001 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.001 * [taylor]: Taking taylor expansion of re in re 7.002 * [backup-simplify]: Simplify 0 into 0 7.002 * [backup-simplify]: Simplify 1 into 1 7.002 * [backup-simplify]: Simplify (* 1 1) into 1 7.002 * [backup-simplify]: Simplify (/ 1 1) into 1 7.002 * [backup-simplify]: Simplify (+ 0 1) into 1 7.002 * [taylor]: Taking taylor expansion of 1 in im 7.002 * [backup-simplify]: Simplify 1 into 1 7.003 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.003 * [backup-simplify]: Simplify (+ 0 0) into 0 7.003 * [taylor]: Taking taylor expansion of 0 in im 7.003 * [backup-simplify]: Simplify 0 into 0 7.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.005 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 7.005 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.005 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.005 * [taylor]: Taking taylor expansion of im in im 7.005 * [backup-simplify]: Simplify 0 into 0 7.005 * [backup-simplify]: Simplify 1 into 1 7.005 * [backup-simplify]: Simplify (* 1 1) into 1 7.005 * [backup-simplify]: Simplify (/ 1 1) into 1 7.005 * [backup-simplify]: Simplify 1 into 1 7.005 * [backup-simplify]: Simplify 1 into 1 7.005 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.006 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 7.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.007 * [backup-simplify]: Simplify (+ 0 0) into 0 7.007 * [taylor]: Taking taylor expansion of 0 in im 7.007 * [backup-simplify]: Simplify 0 into 0 7.007 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.008 * [backup-simplify]: Simplify 0 into 0 7.008 * [backup-simplify]: Simplify 0 into 0 7.008 * [backup-simplify]: Simplify 0 into 0 7.008 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 7.008 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 7.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.010 * [backup-simplify]: Simplify (+ 0 0) into 0 7.010 * [taylor]: Taking taylor expansion of 0 in im 7.010 * [backup-simplify]: Simplify 0 into 0 7.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.011 * [backup-simplify]: Simplify 0 into 0 7.011 * [backup-simplify]: Simplify 0 into 0 7.011 * [backup-simplify]: Simplify 0 into 0 7.011 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2)) 7.012 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 7.012 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 7.012 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 7.012 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.012 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.012 * [taylor]: Taking taylor expansion of im in im 7.012 * [backup-simplify]: Simplify 0 into 0 7.012 * [backup-simplify]: Simplify 1 into 1 7.012 * [backup-simplify]: Simplify (* 1 1) into 1 7.012 * [backup-simplify]: Simplify (/ 1 1) into 1 7.012 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.012 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.012 * [taylor]: Taking taylor expansion of re in im 7.012 * [backup-simplify]: Simplify re into re 7.012 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.012 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.012 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.012 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.013 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.013 * [taylor]: Taking taylor expansion of im in re 7.013 * [backup-simplify]: Simplify im into im 7.013 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.013 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.013 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.013 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.013 * [taylor]: Taking taylor expansion of re in re 7.013 * [backup-simplify]: Simplify 0 into 0 7.013 * [backup-simplify]: Simplify 1 into 1 7.013 * [backup-simplify]: Simplify (* 1 1) into 1 7.013 * [backup-simplify]: Simplify (/ 1 1) into 1 7.013 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.013 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.013 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.013 * [taylor]: Taking taylor expansion of im in re 7.013 * [backup-simplify]: Simplify im into im 7.014 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.014 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.014 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.014 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.014 * [taylor]: Taking taylor expansion of re in re 7.014 * [backup-simplify]: Simplify 0 into 0 7.014 * [backup-simplify]: Simplify 1 into 1 7.014 * [backup-simplify]: Simplify (* 1 1) into 1 7.014 * [backup-simplify]: Simplify (/ 1 1) into 1 7.014 * [backup-simplify]: Simplify (+ 0 1) into 1 7.015 * [taylor]: Taking taylor expansion of 1 in im 7.015 * [backup-simplify]: Simplify 1 into 1 7.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.016 * [backup-simplify]: Simplify (+ 0 0) into 0 7.016 * [taylor]: Taking taylor expansion of 0 in im 7.016 * [backup-simplify]: Simplify 0 into 0 7.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.018 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 7.018 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.018 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.018 * [taylor]: Taking taylor expansion of im in im 7.018 * [backup-simplify]: Simplify 0 into 0 7.018 * [backup-simplify]: Simplify 1 into 1 7.019 * [backup-simplify]: Simplify (* 1 1) into 1 7.019 * [backup-simplify]: Simplify (/ 1 1) into 1 7.019 * [backup-simplify]: Simplify 1 into 1 7.019 * [backup-simplify]: Simplify 1 into 1 7.019 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.020 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 7.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.022 * [backup-simplify]: Simplify (+ 0 0) into 0 7.022 * [taylor]: Taking taylor expansion of 0 in im 7.022 * [backup-simplify]: Simplify 0 into 0 7.023 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.031 * [backup-simplify]: Simplify 0 into 0 7.031 * [backup-simplify]: Simplify 0 into 0 7.031 * [backup-simplify]: Simplify 0 into 0 7.032 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 7.032 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 7.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.035 * [backup-simplify]: Simplify (+ 0 0) into 0 7.035 * [taylor]: Taking taylor expansion of 0 in im 7.035 * [backup-simplify]: Simplify 0 into 0 7.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.036 * [backup-simplify]: Simplify 0 into 0 7.036 * [backup-simplify]: Simplify 0 into 0 7.036 * [backup-simplify]: Simplify 0 into 0 7.037 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2)) 7.037 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 7.038 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) 1/2) re))) into (* (sqrt 2.0) (sqrt (- (pow (+ (pow re 2) (pow im 2)) 1/2) re))) 7.038 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (pow (+ (pow re 2) (pow im 2)) 1/2) re))) in (re im) around 0 7.038 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (pow (+ (pow re 2) (pow im 2)) 1/2) re))) in im 7.038 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.038 * [taylor]: Taking taylor expansion of 2.0 in im 7.038 * [backup-simplify]: Simplify 2.0 into 2.0 7.038 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.039 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.039 * [taylor]: Taking taylor expansion of (sqrt (- (pow (+ (pow re 2) (pow im 2)) 1/2) re)) in im 7.039 * [taylor]: Taking taylor expansion of (- (pow (+ (pow re 2) (pow im 2)) 1/2) re) in im 7.039 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/2) in im 7.039 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (+ (pow re 2) (pow im 2))))) in im 7.039 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (pow re 2) (pow im 2)))) in im 7.039 * [taylor]: Taking taylor expansion of 1/2 in im 7.039 * [backup-simplify]: Simplify 1/2 into 1/2 7.039 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im 7.039 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 7.039 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.039 * [taylor]: Taking taylor expansion of re in im 7.039 * [backup-simplify]: Simplify re into re 7.039 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.039 * [taylor]: Taking taylor expansion of im in im 7.039 * [backup-simplify]: Simplify 0 into 0 7.039 * [backup-simplify]: Simplify 1 into 1 7.039 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.040 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 7.040 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 7.040 * [backup-simplify]: Simplify (* 1/2 (log (pow re 2))) into (* 1/2 (log (pow re 2))) 7.040 * [backup-simplify]: Simplify (exp (* 1/2 (log (pow re 2)))) into (pow (pow re 2) 1/2) 7.040 * [taylor]: Taking taylor expansion of re in im 7.040 * [backup-simplify]: Simplify re into re 7.040 * [backup-simplify]: Simplify (- re) into (- re) 7.041 * [backup-simplify]: Simplify (+ (pow (pow re 2) 1/2) (- re)) into (- (pow (pow re 2) 1/2) re) 7.041 * [backup-simplify]: Simplify (sqrt (- (pow (pow re 2) 1/2) re)) into (sqrt (- (pow (pow re 2) 1/2) re)) 7.041 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 7.041 * [backup-simplify]: Simplify (+ 0 0) into 0 7.042 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow re 2) 1)))) 1) into 0 7.043 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (log (pow re 2)))) into 0 7.044 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (pow re 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 7.044 * [backup-simplify]: Simplify (- 0) into 0 7.045 * [backup-simplify]: Simplify (+ 0 0) into 0 7.045 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (pow (pow re 2) 1/2) re)))) into 0 7.045 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (pow (+ (pow re 2) (pow im 2)) 1/2) re))) in re 7.045 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.045 * [taylor]: Taking taylor expansion of 2.0 in re 7.045 * [backup-simplify]: Simplify 2.0 into 2.0 7.045 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.046 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.046 * [taylor]: Taking taylor expansion of (sqrt (- (pow (+ (pow re 2) (pow im 2)) 1/2) re)) in re 7.046 * [taylor]: Taking taylor expansion of (- (pow (+ (pow re 2) (pow im 2)) 1/2) re) in re 7.046 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/2) in re 7.046 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (+ (pow re 2) (pow im 2))))) in re 7.046 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (pow re 2) (pow im 2)))) in re 7.046 * [taylor]: Taking taylor expansion of 1/2 in re 7.046 * [backup-simplify]: Simplify 1/2 into 1/2 7.046 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 7.046 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 7.046 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.046 * [taylor]: Taking taylor expansion of re in re 7.046 * [backup-simplify]: Simplify 0 into 0 7.046 * [backup-simplify]: Simplify 1 into 1 7.046 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.046 * [taylor]: Taking taylor expansion of im in re 7.047 * [backup-simplify]: Simplify im into im 7.047 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.047 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 7.047 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 7.047 * [backup-simplify]: Simplify (* 1/2 (log (pow im 2))) into (* 1/2 (log (pow im 2))) 7.047 * [backup-simplify]: Simplify (exp (* 1/2 (log (pow im 2)))) into (pow (pow im 2) 1/2) 7.047 * [taylor]: Taking taylor expansion of re in re 7.047 * [backup-simplify]: Simplify 0 into 0 7.047 * [backup-simplify]: Simplify 1 into 1 7.047 * [backup-simplify]: Simplify (- 0) into 0 7.047 * [backup-simplify]: Simplify (+ (pow (pow im 2) 1/2) 0) into (pow (pow im 2) 1/2) 7.048 * [backup-simplify]: Simplify (sqrt (pow (pow im 2) 1/2)) into (sqrt im) 7.048 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.048 * [backup-simplify]: Simplify (+ 0 0) into 0 7.048 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 7.049 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (log (pow im 2)))) into 0 7.049 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 7.050 * [backup-simplify]: Simplify (- 1) into -1 7.050 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.050 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (pow (pow im 2) 1/2)))) into (* -1/2 (sqrt (/ 1 im))) 7.050 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (pow (+ (pow re 2) (pow im 2)) 1/2) re))) in re 7.050 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.050 * [taylor]: Taking taylor expansion of 2.0 in re 7.050 * [backup-simplify]: Simplify 2.0 into 2.0 7.050 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.051 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.051 * [taylor]: Taking taylor expansion of (sqrt (- (pow (+ (pow re 2) (pow im 2)) 1/2) re)) in re 7.051 * [taylor]: Taking taylor expansion of (- (pow (+ (pow re 2) (pow im 2)) 1/2) re) in re 7.051 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/2) in re 7.051 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (+ (pow re 2) (pow im 2))))) in re 7.051 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (pow re 2) (pow im 2)))) in re 7.051 * [taylor]: Taking taylor expansion of 1/2 in re 7.051 * [backup-simplify]: Simplify 1/2 into 1/2 7.051 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 7.051 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 7.051 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.051 * [taylor]: Taking taylor expansion of re in re 7.051 * [backup-simplify]: Simplify 0 into 0 7.051 * [backup-simplify]: Simplify 1 into 1 7.051 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.051 * [taylor]: Taking taylor expansion of im in re 7.051 * [backup-simplify]: Simplify im into im 7.051 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.051 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 7.052 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 7.052 * [backup-simplify]: Simplify (* 1/2 (log (pow im 2))) into (* 1/2 (log (pow im 2))) 7.052 * [backup-simplify]: Simplify (exp (* 1/2 (log (pow im 2)))) into (pow (pow im 2) 1/2) 7.052 * [taylor]: Taking taylor expansion of re in re 7.052 * [backup-simplify]: Simplify 0 into 0 7.052 * [backup-simplify]: Simplify 1 into 1 7.052 * [backup-simplify]: Simplify (- 0) into 0 7.052 * [backup-simplify]: Simplify (+ (pow (pow im 2) 1/2) 0) into (pow (pow im 2) 1/2) 7.052 * [backup-simplify]: Simplify (sqrt (pow (pow im 2) 1/2)) into (sqrt im) 7.052 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.053 * [backup-simplify]: Simplify (+ 0 0) into 0 7.053 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 7.054 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (log (pow im 2)))) into 0 7.054 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 7.054 * [backup-simplify]: Simplify (- 1) into -1 7.055 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.055 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (pow (pow im 2) 1/2)))) into (* -1/2 (sqrt (/ 1 im))) 7.055 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 7.055 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 7.055 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.055 * [taylor]: Taking taylor expansion of 2.0 in im 7.055 * [backup-simplify]: Simplify 2.0 into 2.0 7.055 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.056 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.056 * [taylor]: Taking taylor expansion of (sqrt im) in im 7.056 * [taylor]: Taking taylor expansion of im in im 7.056 * [backup-simplify]: Simplify 0 into 0 7.056 * [backup-simplify]: Simplify 1 into 1 7.056 * [backup-simplify]: Simplify (sqrt 0) into 0 7.057 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.057 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 7.057 * [backup-simplify]: Simplify 0 into 0 7.058 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* -1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) 7.058 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 7.058 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 7.058 * [taylor]: Taking taylor expansion of 1/2 in im 7.058 * [backup-simplify]: Simplify 1/2 into 1/2 7.058 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 7.058 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.058 * [taylor]: Taking taylor expansion of 2.0 in im 7.058 * [backup-simplify]: Simplify 2.0 into 2.0 7.058 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.059 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.059 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 7.059 * [taylor]: Taking taylor expansion of (/ 1 im) in im 7.059 * [taylor]: Taking taylor expansion of im in im 7.059 * [backup-simplify]: Simplify 0 into 0 7.059 * [backup-simplify]: Simplify 1 into 1 7.059 * [backup-simplify]: Simplify (/ 1 1) into 1 7.059 * [backup-simplify]: Simplify (sqrt 0) into 0 7.060 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.061 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 7.061 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 7.064 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 7.065 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 7.066 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 7.067 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 7.068 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 7.069 * [backup-simplify]: Simplify (* 1 1) into 1 7.069 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 7.069 * [backup-simplify]: Simplify (+ 1 0) into 1 7.070 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2)) 7.071 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/2 (/ 1 (pow im 2))) 7.072 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/2 (/ 1 (pow im 2))) 1) 1)))) into (/ 1/2 im) 7.072 * [backup-simplify]: Simplify (- 0) into 0 7.072 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 7.072 * [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)))) 7.073 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 7.074 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/8 (sqrt (/ 1 (pow im 3))))) (+ (* 0 (* -1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im)))) into (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) 7.074 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 7.074 * [taylor]: Taking taylor expansion of 1/8 in im 7.074 * [backup-simplify]: Simplify 1/8 into 1/8 7.074 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 7.074 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.074 * [taylor]: Taking taylor expansion of 2.0 in im 7.074 * [backup-simplify]: Simplify 2.0 into 2.0 7.074 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.075 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 7.075 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 7.075 * [taylor]: Taking taylor expansion of (pow im 3) in im 7.075 * [taylor]: Taking taylor expansion of im in im 7.075 * [backup-simplify]: Simplify 0 into 0 7.075 * [backup-simplify]: Simplify 1 into 1 7.076 * [backup-simplify]: Simplify (* 1 1) into 1 7.076 * [backup-simplify]: Simplify (* 1 1) into 1 7.076 * [backup-simplify]: Simplify (/ 1 1) into 1 7.077 * [backup-simplify]: Simplify (sqrt 0) into 0 7.078 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.083 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.085 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 7.087 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 7.089 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 7.090 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 7.095 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 7.097 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 7.103 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 re) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im 1)) (* (- (* +nan.0 (sqrt 2.0))) (* 1 re)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) 7.104 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (pow (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) 1/2) (/ 1 re)))) into (* (sqrt 2.0) (sqrt (- (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re)))) 7.104 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re)))) in (re im) around 0 7.104 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re)))) in im 7.104 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.104 * [taylor]: Taking taylor expansion of 2.0 in im 7.104 * [backup-simplify]: Simplify 2.0 into 2.0 7.104 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.105 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.105 * [taylor]: Taking taylor expansion of (sqrt (- (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re))) in im 7.105 * [taylor]: Taking taylor expansion of (- (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re)) in im 7.105 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) in im 7.105 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 7.105 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 7.105 * [taylor]: Taking taylor expansion of 1/2 in im 7.105 * [backup-simplify]: Simplify 1/2 into 1/2 7.105 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 7.106 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 7.106 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.106 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.106 * [taylor]: Taking taylor expansion of im in im 7.106 * [backup-simplify]: Simplify 0 into 0 7.106 * [backup-simplify]: Simplify 1 into 1 7.106 * [backup-simplify]: Simplify (* 1 1) into 1 7.106 * [backup-simplify]: Simplify (/ 1 1) into 1 7.106 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.107 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.107 * [taylor]: Taking taylor expansion of re in im 7.107 * [backup-simplify]: Simplify re into re 7.107 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.107 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.107 * [backup-simplify]: Simplify (+ 1 0) into 1 7.108 * [backup-simplify]: Simplify (log 1) into 0 7.108 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 7.108 * [backup-simplify]: Simplify (* 1/2 (- (* 2 (log im)))) into (* -1 (log im)) 7.109 * [backup-simplify]: Simplify (exp (* -1 (log im))) into (pow im -1) 7.109 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.109 * [taylor]: Taking taylor expansion of re in im 7.109 * [backup-simplify]: Simplify re into re 7.109 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.109 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 7.109 * [backup-simplify]: Simplify (+ (pow im -1) (- (/ 1 re))) into (- (pow im -1) (/ 1 re)) 7.109 * [backup-simplify]: Simplify (sqrt (- (pow im -1) (/ 1 re))) into (sqrt (- (pow im -1) (/ 1 re))) 7.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.111 * [backup-simplify]: Simplify (+ 0 0) into 0 7.113 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.113 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 7.114 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- (* 2 (log im))))) into 0 7.115 * [backup-simplify]: Simplify (* (exp (* -1 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 7.115 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 7.115 * [backup-simplify]: Simplify (- 0) into 0 7.116 * [backup-simplify]: Simplify (+ 0 0) into 0 7.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (pow im -1) (/ 1 re))))) into 0 7.116 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re)))) in re 7.116 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.116 * [taylor]: Taking taylor expansion of 2.0 in re 7.116 * [backup-simplify]: Simplify 2.0 into 2.0 7.116 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.117 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.117 * [taylor]: Taking taylor expansion of (sqrt (- (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re))) in re 7.117 * [taylor]: Taking taylor expansion of (- (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re)) in re 7.117 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) in re 7.117 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 7.117 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 7.117 * [taylor]: Taking taylor expansion of 1/2 in re 7.117 * [backup-simplify]: Simplify 1/2 into 1/2 7.117 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.118 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.118 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.118 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.118 * [taylor]: Taking taylor expansion of im in re 7.118 * [backup-simplify]: Simplify im into im 7.118 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.118 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.118 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.118 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.118 * [taylor]: Taking taylor expansion of re in re 7.118 * [backup-simplify]: Simplify 0 into 0 7.118 * [backup-simplify]: Simplify 1 into 1 7.119 * [backup-simplify]: Simplify (* 1 1) into 1 7.119 * [backup-simplify]: Simplify (/ 1 1) into 1 7.119 * [backup-simplify]: Simplify (+ 0 1) into 1 7.120 * [backup-simplify]: Simplify (log 1) into 0 7.120 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 7.120 * [backup-simplify]: Simplify (* 1/2 (- (* 2 (log re)))) into (* -1 (log re)) 7.120 * [backup-simplify]: Simplify (exp (* -1 (log re))) into (pow re -1) 7.120 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.120 * [taylor]: Taking taylor expansion of re in re 7.120 * [backup-simplify]: Simplify 0 into 0 7.121 * [backup-simplify]: Simplify 1 into 1 7.121 * [backup-simplify]: Simplify (/ 1 1) into 1 7.121 * [backup-simplify]: Simplify (- 1) into -1 7.122 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.122 * [backup-simplify]: Simplify (sqrt 0) into 0 7.124 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.124 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re)))) in re 7.124 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.124 * [taylor]: Taking taylor expansion of 2.0 in re 7.124 * [backup-simplify]: Simplify 2.0 into 2.0 7.125 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.125 * [taylor]: Taking taylor expansion of (sqrt (- (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re))) in re 7.125 * [taylor]: Taking taylor expansion of (- (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re)) in re 7.126 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) in re 7.126 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 7.126 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 7.126 * [taylor]: Taking taylor expansion of 1/2 in re 7.126 * [backup-simplify]: Simplify 1/2 into 1/2 7.126 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.126 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.126 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.126 * [taylor]: Taking taylor expansion of im in re 7.126 * [backup-simplify]: Simplify im into im 7.126 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.126 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.126 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.126 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.126 * [taylor]: Taking taylor expansion of re in re 7.126 * [backup-simplify]: Simplify 0 into 0 7.126 * [backup-simplify]: Simplify 1 into 1 7.127 * [backup-simplify]: Simplify (* 1 1) into 1 7.127 * [backup-simplify]: Simplify (/ 1 1) into 1 7.128 * [backup-simplify]: Simplify (+ 0 1) into 1 7.128 * [backup-simplify]: Simplify (log 1) into 0 7.128 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 7.129 * [backup-simplify]: Simplify (* 1/2 (- (* 2 (log re)))) into (* -1 (log re)) 7.129 * [backup-simplify]: Simplify (exp (* -1 (log re))) into (pow re -1) 7.129 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.129 * [taylor]: Taking taylor expansion of re in re 7.129 * [backup-simplify]: Simplify 0 into 0 7.129 * [backup-simplify]: Simplify 1 into 1 7.129 * [backup-simplify]: Simplify (/ 1 1) into 1 7.130 * [backup-simplify]: Simplify (- 1) into -1 7.130 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.130 * [backup-simplify]: Simplify (sqrt 0) into 0 7.131 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.132 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 7.132 * [taylor]: Taking taylor expansion of 0 in im 7.132 * [backup-simplify]: Simplify 0 into 0 7.132 * [backup-simplify]: Simplify 0 into 0 7.133 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 7.133 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 7.133 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 7.133 * [taylor]: Taking taylor expansion of +nan.0 in im 7.133 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.133 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.133 * [taylor]: Taking taylor expansion of 2.0 in im 7.133 * [backup-simplify]: Simplify 2.0 into 2.0 7.133 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.134 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 7.135 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 7.136 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 7.136 * [backup-simplify]: Simplify 0 into 0 7.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.137 * [backup-simplify]: Simplify (- 0) into 0 7.137 * [backup-simplify]: Simplify (+ (pow re -1) 0) into (pow re -1) 7.138 * [backup-simplify]: Simplify (/ (- (pow re -1) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (pow re -1) +nan.0)) 7.139 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 7.139 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (pow re -1) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 7.139 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in im 7.139 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in im 7.139 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 7.140 * [taylor]: Taking taylor expansion of +nan.0 in im 7.140 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.140 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.140 * [taylor]: Taking taylor expansion of 2.0 in im 7.140 * [backup-simplify]: Simplify 2.0 into 2.0 7.140 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.140 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in im 7.140 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in im 7.140 * [taylor]: Taking taylor expansion of +nan.0 in im 7.140 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.140 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in im 7.140 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.140 * [taylor]: Taking taylor expansion of 2.0 in im 7.140 * [backup-simplify]: Simplify 2.0 into 2.0 7.141 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.141 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.141 * [taylor]: Taking taylor expansion of re in im 7.141 * [backup-simplify]: Simplify re into re 7.141 * [backup-simplify]: Simplify (/ (sqrt 2.0) re) into (/ (sqrt 2.0) re) 7.142 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 7.142 * [backup-simplify]: Simplify (* +nan.0 (/ (sqrt 2.0) re)) into (* +nan.0 (/ (sqrt 2.0) re)) 7.143 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) re))) into (- (* +nan.0 (/ (sqrt 2.0) re))) 7.143 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 7.144 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 7.145 * [backup-simplify]: Simplify (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 7.146 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 7.146 * [backup-simplify]: Simplify (- 0) into 0 7.146 * [backup-simplify]: Simplify 0 into 0 7.146 * [backup-simplify]: Simplify 0 into 0 7.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.147 * [backup-simplify]: Simplify (+ 0 0) into 0 7.148 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.148 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 7.149 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- (* 2 (log re))))) into 0 7.149 * [backup-simplify]: Simplify (* (exp (* -1 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 7.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.150 * [backup-simplify]: Simplify (- 0) into 0 7.150 * [backup-simplify]: Simplify (+ 0 0) into 0 7.151 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (pow re -1) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 re)) (- +nan.0))) 7.151 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.152 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) (+ (* 0 (* +nan.0 (- (pow re -1) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 7.152 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in im 7.152 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in im 7.152 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 7.153 * [taylor]: Taking taylor expansion of +nan.0 in im 7.153 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.153 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.153 * [taylor]: Taking taylor expansion of 2.0 in im 7.153 * [backup-simplify]: Simplify 2.0 into 2.0 7.153 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.159 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.159 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in im 7.159 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in im 7.159 * [taylor]: Taking taylor expansion of +nan.0 in im 7.159 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.159 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in im 7.159 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.159 * [taylor]: Taking taylor expansion of 2.0 in im 7.159 * [backup-simplify]: Simplify 2.0 into 2.0 7.160 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.161 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.161 * [taylor]: Taking taylor expansion of re in im 7.161 * [backup-simplify]: Simplify re into re 7.161 * [backup-simplify]: Simplify (/ (sqrt 2.0) re) into (/ (sqrt 2.0) re) 7.162 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 7.162 * [backup-simplify]: Simplify (* +nan.0 (/ (sqrt 2.0) re)) into (* +nan.0 (/ (sqrt 2.0) re)) 7.163 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) re))) into (- (* +nan.0 (/ (sqrt 2.0) re))) 7.164 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 7.166 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 7.167 * [backup-simplify]: Simplify (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 7.172 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (/ 1 re)))))) (pow (* 1 (/ 1 re)) 2)) (+ (* (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (/ 1 re)))))) (* 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))))))) 7.173 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (pow (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) 1/2) (/ 1 (- re))))) into (* (sqrt 2.0) (sqrt (+ (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re)))) 7.173 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re)))) in (re im) around 0 7.173 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re)))) in im 7.173 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.173 * [taylor]: Taking taylor expansion of 2.0 in im 7.173 * [backup-simplify]: Simplify 2.0 into 2.0 7.173 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.174 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re))) in im 7.174 * [taylor]: Taking taylor expansion of (+ (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re)) in im 7.174 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) in im 7.174 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 7.174 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 7.174 * [taylor]: Taking taylor expansion of 1/2 in im 7.174 * [backup-simplify]: Simplify 1/2 into 1/2 7.174 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 7.174 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 7.174 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.174 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.174 * [taylor]: Taking taylor expansion of im in im 7.174 * [backup-simplify]: Simplify 0 into 0 7.174 * [backup-simplify]: Simplify 1 into 1 7.175 * [backup-simplify]: Simplify (* 1 1) into 1 7.175 * [backup-simplify]: Simplify (/ 1 1) into 1 7.175 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.175 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.175 * [taylor]: Taking taylor expansion of re in im 7.175 * [backup-simplify]: Simplify re into re 7.175 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.175 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.176 * [backup-simplify]: Simplify (+ 1 0) into 1 7.176 * [backup-simplify]: Simplify (log 1) into 0 7.177 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 7.177 * [backup-simplify]: Simplify (* 1/2 (- (* 2 (log im)))) into (* -1 (log im)) 7.177 * [backup-simplify]: Simplify (exp (* -1 (log im))) into (pow im -1) 7.177 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.177 * [taylor]: Taking taylor expansion of re in im 7.177 * [backup-simplify]: Simplify re into re 7.177 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.177 * [backup-simplify]: Simplify (+ (pow im -1) (/ 1 re)) into (+ (pow im -1) (/ 1 re)) 7.177 * [backup-simplify]: Simplify (sqrt (+ (pow im -1) (/ 1 re))) into (sqrt (+ (pow im -1) (/ 1 re))) 7.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.179 * [backup-simplify]: Simplify (+ 0 0) into 0 7.181 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.181 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 7.182 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- (* 2 (log im))))) into 0 7.182 * [backup-simplify]: Simplify (* (exp (* -1 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 7.183 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 7.183 * [backup-simplify]: Simplify (+ 0 0) into 0 7.183 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow im -1) (/ 1 re))))) into 0 7.183 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re)))) in re 7.183 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.183 * [taylor]: Taking taylor expansion of 2.0 in re 7.183 * [backup-simplify]: Simplify 2.0 into 2.0 7.184 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.185 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.185 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re))) in re 7.185 * [taylor]: Taking taylor expansion of (+ (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re)) in re 7.185 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) in re 7.185 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 7.185 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 7.185 * [taylor]: Taking taylor expansion of 1/2 in re 7.185 * [backup-simplify]: Simplify 1/2 into 1/2 7.185 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.185 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.185 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.185 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.185 * [taylor]: Taking taylor expansion of im in re 7.185 * [backup-simplify]: Simplify im into im 7.185 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.185 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.186 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.186 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.186 * [taylor]: Taking taylor expansion of re in re 7.186 * [backup-simplify]: Simplify 0 into 0 7.186 * [backup-simplify]: Simplify 1 into 1 7.186 * [backup-simplify]: Simplify (* 1 1) into 1 7.186 * [backup-simplify]: Simplify (/ 1 1) into 1 7.187 * [backup-simplify]: Simplify (+ 0 1) into 1 7.187 * [backup-simplify]: Simplify (log 1) into 0 7.188 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 7.188 * [backup-simplify]: Simplify (* 1/2 (- (* 2 (log re)))) into (* -1 (log re)) 7.188 * [backup-simplify]: Simplify (exp (* -1 (log re))) into (pow re -1) 7.188 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.188 * [taylor]: Taking taylor expansion of re in re 7.188 * [backup-simplify]: Simplify 0 into 0 7.188 * [backup-simplify]: Simplify 1 into 1 7.188 * [backup-simplify]: Simplify (/ 1 1) into 1 7.189 * [backup-simplify]: Simplify (+ 0 1) into 1 7.189 * [backup-simplify]: Simplify (sqrt 0) into 0 7.190 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.190 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re)))) in re 7.190 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.191 * [taylor]: Taking taylor expansion of 2.0 in re 7.191 * [backup-simplify]: Simplify 2.0 into 2.0 7.191 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.192 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.192 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re))) in re 7.192 * [taylor]: Taking taylor expansion of (+ (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) (/ 1 re)) in re 7.192 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/2) in re 7.192 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 7.192 * [taylor]: Taking taylor expansion of (* 1/2 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 7.192 * [taylor]: Taking taylor expansion of 1/2 in re 7.192 * [backup-simplify]: Simplify 1/2 into 1/2 7.192 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.192 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.192 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.192 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.192 * [taylor]: Taking taylor expansion of im in re 7.192 * [backup-simplify]: Simplify im into im 7.192 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.192 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.192 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.192 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.192 * [taylor]: Taking taylor expansion of re in re 7.192 * [backup-simplify]: Simplify 0 into 0 7.192 * [backup-simplify]: Simplify 1 into 1 7.193 * [backup-simplify]: Simplify (* 1 1) into 1 7.193 * [backup-simplify]: Simplify (/ 1 1) into 1 7.194 * [backup-simplify]: Simplify (+ 0 1) into 1 7.194 * [backup-simplify]: Simplify (log 1) into 0 7.194 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 7.195 * [backup-simplify]: Simplify (* 1/2 (- (* 2 (log re)))) into (* -1 (log re)) 7.195 * [backup-simplify]: Simplify (exp (* -1 (log re))) into (pow re -1) 7.195 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.195 * [taylor]: Taking taylor expansion of re in re 7.195 * [backup-simplify]: Simplify 0 into 0 7.195 * [backup-simplify]: Simplify 1 into 1 7.195 * [backup-simplify]: Simplify (/ 1 1) into 1 7.196 * [backup-simplify]: Simplify (+ 0 1) into 1 7.196 * [backup-simplify]: Simplify (sqrt 0) into 0 7.198 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.198 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 7.198 * [taylor]: Taking taylor expansion of 0 in im 7.198 * [backup-simplify]: Simplify 0 into 0 7.198 * [backup-simplify]: Simplify 0 into 0 7.201 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 7.201 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 7.201 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 7.201 * [taylor]: Taking taylor expansion of +nan.0 in im 7.201 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.201 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.201 * [taylor]: Taking taylor expansion of 2.0 in im 7.201 * [backup-simplify]: Simplify 2.0 into 2.0 7.201 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.202 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.203 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 7.204 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 7.206 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 7.206 * [backup-simplify]: Simplify 0 into 0 7.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.207 * [backup-simplify]: Simplify (+ (pow re -1) 0) into (pow re -1) 7.208 * [backup-simplify]: Simplify (/ (- (pow re -1) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (pow re -1) +nan.0)) 7.210 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 7.211 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (pow re -1) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 7.211 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in im 7.211 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in im 7.211 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 7.211 * [taylor]: Taking taylor expansion of +nan.0 in im 7.211 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.211 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.211 * [taylor]: Taking taylor expansion of 2.0 in im 7.211 * [backup-simplify]: Simplify 2.0 into 2.0 7.212 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.212 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.212 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in im 7.212 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in im 7.212 * [taylor]: Taking taylor expansion of +nan.0 in im 7.212 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.212 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in im 7.212 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.212 * [taylor]: Taking taylor expansion of 2.0 in im 7.212 * [backup-simplify]: Simplify 2.0 into 2.0 7.213 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.214 * [taylor]: Taking taylor expansion of re in im 7.214 * [backup-simplify]: Simplify re into re 7.214 * [backup-simplify]: Simplify (/ (sqrt 2.0) re) into (/ (sqrt 2.0) re) 7.215 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 7.215 * [backup-simplify]: Simplify (* +nan.0 (/ (sqrt 2.0) re)) into (* +nan.0 (/ (sqrt 2.0) re)) 7.216 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) re))) into (- (* +nan.0 (/ (sqrt 2.0) re))) 7.217 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 7.219 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 7.220 * [backup-simplify]: Simplify (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 7.221 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 7.222 * [backup-simplify]: Simplify (- 0) into 0 7.222 * [backup-simplify]: Simplify 0 into 0 7.222 * [backup-simplify]: Simplify 0 into 0 7.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.224 * [backup-simplify]: Simplify (+ 0 0) into 0 7.225 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.226 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 7.226 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- (* 2 (log re))))) into 0 7.227 * [backup-simplify]: Simplify (* (exp (* -1 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 7.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.228 * [backup-simplify]: Simplify (+ 0 0) into 0 7.229 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (pow re -1) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 re)) (- +nan.0))) 7.231 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.232 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) (+ (* 0 (* +nan.0 (- (pow re -1) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 7.232 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in im 7.233 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in im 7.233 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 7.233 * [taylor]: Taking taylor expansion of +nan.0 in im 7.233 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.233 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.233 * [taylor]: Taking taylor expansion of 2.0 in im 7.233 * [backup-simplify]: Simplify 2.0 into 2.0 7.233 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.234 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in im 7.234 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in im 7.234 * [taylor]: Taking taylor expansion of +nan.0 in im 7.234 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.234 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in im 7.234 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.234 * [taylor]: Taking taylor expansion of 2.0 in im 7.234 * [backup-simplify]: Simplify 2.0 into 2.0 7.235 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.236 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.236 * [taylor]: Taking taylor expansion of re in im 7.236 * [backup-simplify]: Simplify re into re 7.236 * [backup-simplify]: Simplify (/ (sqrt 2.0) re) into (/ (sqrt 2.0) re) 7.237 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 7.237 * [backup-simplify]: Simplify (* +nan.0 (/ (sqrt 2.0) re)) into (* +nan.0 (/ (sqrt 2.0) re)) 7.238 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) re))) into (- (* +nan.0 (/ (sqrt 2.0) re))) 7.239 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 7.241 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 7.242 * [backup-simplify]: Simplify (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 7.248 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (/ 1 (- re))))))) (pow (* 1 (/ 1 (- re))) 2)) (+ (* (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (/ 1 (- re))))))) (* 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))))))) 7.248 * * * [progress]: simplifying candidates 7.250 * [simplify]: Simplifying: (* (log (+ (* re re) (* im im))) 1/2) (* (log (+ (* re re) (* im im))) 1/2) (* 1 1/2) (pow (+ (* re re) (* im im)) (* (cbrt 1/2) (cbrt 1/2))) (pow (+ (* re re) (* im im)) (sqrt 1/2)) (pow (+ (* re re) (* im im)) 1) (pow (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) 1/2) (pow (cbrt (+ (* re re) (* im im))) 1/2) (pow (sqrt (+ (* re re) (* im im))) 1/2) (pow (sqrt (+ (* re re) (* im im))) 1/2) (pow 1 1/2) (pow (+ (* re re) (* im im)) 1/2) (log (pow (+ (* re re) (* im im)) 1/2)) (exp (pow (+ (* re re) (* im im)) 1/2)) (* (cbrt (pow (+ (* re re) (* im im)) 1/2)) (cbrt (pow (+ (* re re) (* im im)) 1/2))) (cbrt (pow (+ (* re re) (* im im)) 1/2)) (* (* (pow (+ (* re re) (* im im)) 1/2) (pow (+ (* re re) (* im im)) 1/2)) (pow (+ (* re re) (* im im)) 1/2)) (sqrt (pow (+ (* re re) (* im im)) 1/2)) (sqrt (pow (+ (* re re) (* im im)) 1/2)) (pow (+ (* re re) (* im im)) (/ 1/2 2)) (pow (+ (* re re) (* im im)) (/ 1/2 2)) (/ (exp (pow (+ (* re re) (* im im)) 1/2)) (exp re)) (log (- (pow (+ (* re re) (* im im)) 1/2) re)) (exp (- (pow (+ (* re re) (* im im)) 1/2) re)) (* (cbrt (- (pow (+ (* re re) (* im im)) 1/2) re)) (cbrt (- (pow (+ (* re re) (* im im)) 1/2) re))) (cbrt (- (pow (+ (* re re) (* im im)) 1/2) re)) (* (* (- (pow (+ (* re re) (* im im)) 1/2) re) (- (pow (+ (* re re) (* im im)) 1/2) re)) (- (pow (+ (* re re) (* im im)) 1/2) re)) (sqrt (- (pow (+ (* re re) (* im im)) 1/2) re)) (sqrt (- (pow (+ (* re re) (* im im)) 1/2) re)) (- (pow (pow (+ (* re re) (* im im)) 1/2) 3) (pow re 3)) (+ (* (pow (+ (* re re) (* im im)) 1/2) (pow (+ (* re re) (* im im)) 1/2)) (+ (* re re) (* (pow (+ (* re re) (* im im)) 1/2) re))) (- re) (- (* (pow (+ (* re re) (* im im)) 1/2) (pow (+ (* re re) (* im im)) 1/2)) (* re re)) (+ (pow (+ (* re re) (* im im)) 1/2) re) (+ (pow (sqrt (+ (* re re) (* im im))) 1/2) (sqrt re)) (- (pow (sqrt (+ (* re re) (* im im))) 1/2) (sqrt re)) (+ (sqrt (pow (+ (* re re) (* im im)) 1/2)) (sqrt re)) (- (sqrt (pow (+ (* re re) (* im im)) 1/2)) (sqrt re)) (+ (pow (+ (* re re) (* im im)) (/ 1/2 2)) (sqrt re)) (- (pow (+ (* re re) (* im im)) (/ 1/2 2)) (sqrt re)) (- (pow (+ (* re re) (* im im)) 1/2) re) (- re) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) (log (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) 1/2) re)))) (exp (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) 1/2) re)))) (* (cbrt (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) 1/2) re)))) (cbrt (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) 1/2) re))))) (cbrt (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) 1/2) re)))) (* (* (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) 1/2) re))) (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) 1/2) re)))) (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) 1/2) re)))) (sqrt 2.0) (sqrt (- (pow (+ (* re re) (* im im)) 1/2) re)) (sqrt (* 2.0 (- (pow (pow (+ (* re re) (* im im)) 1/2) 3) (pow re 3)))) (sqrt (+ (* (pow (+ (* re re) (* im im)) 1/2) (pow (+ (* re re) (* im im)) 1/2)) (+ (* re re) (* (pow (+ (* re re) (* im im)) 1/2) re)))) (sqrt (* 2.0 (- (* (pow (+ (* re re) (* im im)) 1/2) (pow (+ (* re re) (* im im)) 1/2)) (* re re)))) (sqrt (+ (pow (+ (* re re) (* im im)) 1/2) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) 1/2) re)))) (sqrt (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) 1/2) re)))) im re (* -1 re) (- im re) 0 (- (* 2 re)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 7.252 * * [simplify]: Extracting # 0 : cost 0 7.252 * * [simplify]: Extracting # 1 : cost 0 7.252 * * [simplify]: Extracting # 2 : cost 0 7.252 * * [simplify]: Extracting # 3 : cost 0 7.252 * * [simplify]: Extracting # 4 : cost 0 7.252 * * [simplify]: Extracting # 5 : cost 0 7.252 * * [simplify]: Extracting # 6 : cost 0 7.253 * * [simplify]: Extracting # 7 : cost 0 7.253 * * [simplify]: Extracting # 8 : cost 0 7.253 * * [simplify]: Extracting # 9 : cost 0 7.253 * * [simplify]: Extracting # 10 : cost 0 7.253 * * [simplify]: Extracting # 11 : cost 0 7.253 * * [simplify]: Extracting # 12 : cost 0 7.253 * * [simplify]: Extracting # 13 : cost 0 7.254 * * [simplify]: iteration 0 : 126 enodes (cost 1062 ) 7.288 * * [simplify]: Extracting # 0 : cost 0 7.288 * * [simplify]: Extracting # 1 : cost 0 7.289 * * [simplify]: Extracting # 2 : cost 0 7.289 * * [simplify]: Extracting # 3 : cost 0 7.289 * * [simplify]: Extracting # 4 : cost 0 7.290 * * [simplify]: iteration 1 : 300 enodes (cost 893 ) 7.418 * * [simplify]: Extracting # 0 : cost 0 7.420 * * [simplify]: Extracting # 1 : cost 0 7.422 * * [simplify]: Extracting # 2 : cost 0 7.423 * * [simplify]: Extracting # 3 : cost 0 7.425 * * [simplify]: Extracting # 4 : cost 0 7.427 * * [simplify]: iteration 2 : 804 enodes (cost 818 ) 7.934 * * [simplify]: Extracting # 0 : cost 0 7.937 * * [simplify]: Extracting # 1 : cost 0 7.940 * * [simplify]: Extracting # 2 : cost 0 7.943 * * [simplify]: Extracting # 3 : cost 0 7.946 * * [simplify]: Extracting # 4 : cost 0 7.949 * * [simplify]: iteration 3 : 2622 enodes (cost 786 ) 9.386 * * [simplify]: Extracting # 0 : cost 0 9.394 * * [simplify]: Extracting # 1 : cost 0 9.400 * * [simplify]: Extracting # 2 : cost 0 9.405 * * [simplify]: Extracting # 3 : cost 0 9.411 * * [simplify]: Extracting # 4 : cost 0 9.417 * * [simplify]: iteration done: 5001 enodes (cost 782 ) 9.417 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) 1/2 (pow (+ (* re re) (* im im)) (* (cbrt 1/2) (cbrt 1/2))) (pow (+ (* re re) (* im im)) (sqrt 1/2)) (+ (* re re) (* im im)) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (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 (+ (* re re) (* im im)) 3/2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (pow (+ (pow im 2) (pow re 2)) 1/4) (pow (+ (pow im 2) (pow re 2)) 1/4) (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 (+ (* re re) (* im im)) 3/2) (pow re 3)) (+ (* re (+ re (+ (sqrt (+ (* re re) (* im im))) re))) (* im im)) (- re) (* im im) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt re) (pow (+ (pow im 2) (pow re 2)) 1/4)) (- (pow (+ (pow im 2) (pow re 2)) 1/4) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (- re) (exp (+ (* re re) (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (pow (+ (* re re) (* im im)) 3) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow im 6) (pow re 6)) (- (+ (pow im 4) (pow re 4)) (* (* re re) (* im im))) (- (pow re 4) (pow im 4)) (- (* re re) (* im im)) (log (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3) (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (pow (+ (* re re) (* im im)) 3/2) (pow re 3)))) (sqrt (+ (* re (+ re (+ (sqrt (+ (* re re) (* im im))) re))) (* im im))) (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) im re (- re) (- im re) 0 (* -2 re) (+ (* re re) (* im im)) (+ (* re re) (* im im)) (+ (* re re) (* im im)) (* (* +nan.0 (sqrt 2.0)) (+ (- im re) (- (* re re)))) (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) 9.418 * * * [progress]: adding candidates to table 9.635 * * [progress]: iteration 4 / 4 9.635 * * * [progress]: picking best candidate 9.664 * * * * [pick]: Picked # 9.664 * * * [progress]: localizing error 9.686 * * * [progress]: generating rewritten candidates 9.686 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1) 9.711 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 2 1) 9.726 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1 1) 9.742 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 9.953 * * * [progress]: generating series expansions 9.953 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1) 9.954 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 9.954 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 9.954 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 9.954 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 9.954 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.954 * [taylor]: Taking taylor expansion of re in im 9.954 * [backup-simplify]: Simplify re into re 9.954 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.954 * [taylor]: Taking taylor expansion of im in im 9.954 * [backup-simplify]: Simplify 0 into 0 9.954 * [backup-simplify]: Simplify 1 into 1 9.954 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.954 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 9.954 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 9.954 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 9.955 * [backup-simplify]: Simplify (+ 0 0) into 0 9.955 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 9.955 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 9.955 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 9.955 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.955 * [taylor]: Taking taylor expansion of re in re 9.955 * [backup-simplify]: Simplify 0 into 0 9.955 * [backup-simplify]: Simplify 1 into 1 9.955 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.955 * [taylor]: Taking taylor expansion of im in re 9.955 * [backup-simplify]: Simplify im into im 9.955 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.955 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 9.955 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 9.955 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.955 * [backup-simplify]: Simplify (+ 0 0) into 0 9.955 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 9.955 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 9.956 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 9.956 * [taylor]: Taking taylor expansion of (pow re 2) 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 9.956 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.956 * [taylor]: Taking taylor expansion of im in re 9.956 * [backup-simplify]: Simplify im into im 9.956 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.956 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 9.956 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 9.956 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.956 * [backup-simplify]: Simplify (+ 0 0) into 0 9.956 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 9.956 * [taylor]: Taking taylor expansion of im in im 9.956 * [backup-simplify]: Simplify 0 into 0 9.956 * [backup-simplify]: Simplify 1 into 1 9.956 * [backup-simplify]: Simplify 0 into 0 9.956 * [taylor]: Taking taylor expansion of 0 in im 9.956 * [backup-simplify]: Simplify 0 into 0 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 (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 9.957 * [backup-simplify]: Simplify (+ 1 0) into 1 9.958 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 9.958 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 9.958 * [taylor]: Taking taylor expansion of 1/2 in im 9.958 * [backup-simplify]: Simplify 1/2 into 1/2 9.958 * [taylor]: Taking taylor expansion of im in im 9.958 * [backup-simplify]: Simplify 0 into 0 9.958 * [backup-simplify]: Simplify 1 into 1 9.958 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.959 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.959 * [backup-simplify]: Simplify 0 into 0 9.959 * [backup-simplify]: Simplify 0 into 0 9.959 * [backup-simplify]: Simplify 0 into 0 9.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.960 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 9.960 * [backup-simplify]: Simplify (+ 0 0) into 0 9.960 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 9.960 * [taylor]: Taking taylor expansion of 0 in im 9.960 * [backup-simplify]: Simplify 0 into 0 9.960 * [backup-simplify]: Simplify 0 into 0 9.961 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.961 * [backup-simplify]: Simplify 0 into 0 9.961 * [backup-simplify]: Simplify 0 into 0 9.961 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 9.961 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 9.961 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 9.961 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 9.961 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 9.961 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.961 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.961 * [taylor]: Taking taylor expansion of im in im 9.961 * [backup-simplify]: Simplify 0 into 0 9.961 * [backup-simplify]: Simplify 1 into 1 9.961 * [backup-simplify]: Simplify (* 1 1) into 1 9.962 * [backup-simplify]: Simplify (/ 1 1) into 1 9.962 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.962 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.962 * [taylor]: Taking taylor expansion of re in im 9.962 * [backup-simplify]: Simplify re into re 9.962 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.962 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.962 * [backup-simplify]: Simplify (+ 1 0) into 1 9.962 * [backup-simplify]: Simplify (sqrt 1) into 1 9.963 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.963 * [backup-simplify]: Simplify (+ 0 0) into 0 9.964 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.964 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 9.964 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 9.964 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.964 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.964 * [taylor]: Taking taylor expansion of im in re 9.964 * [backup-simplify]: Simplify im into im 9.964 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.964 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.964 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.964 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.964 * [taylor]: Taking taylor expansion of re in re 9.964 * [backup-simplify]: Simplify 0 into 0 9.964 * [backup-simplify]: Simplify 1 into 1 9.965 * [backup-simplify]: Simplify (* 1 1) into 1 9.965 * [backup-simplify]: Simplify (/ 1 1) into 1 9.965 * [backup-simplify]: Simplify (+ 0 1) into 1 9.965 * [backup-simplify]: Simplify (sqrt 1) into 1 9.966 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.966 * [backup-simplify]: Simplify (+ 0 0) into 0 9.967 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.967 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 9.967 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 9.967 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.967 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.967 * [taylor]: Taking taylor expansion of im in re 9.967 * [backup-simplify]: Simplify im into im 9.967 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.967 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.967 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.967 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.967 * [taylor]: Taking taylor expansion of re in re 9.967 * [backup-simplify]: Simplify 0 into 0 9.967 * [backup-simplify]: Simplify 1 into 1 9.967 * [backup-simplify]: Simplify (* 1 1) into 1 9.968 * [backup-simplify]: Simplify (/ 1 1) into 1 9.968 * [backup-simplify]: Simplify (+ 0 1) into 1 9.968 * [backup-simplify]: Simplify (sqrt 1) into 1 9.969 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.969 * [backup-simplify]: Simplify (+ 0 0) into 0 9.970 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.970 * [taylor]: Taking taylor expansion of 1 in im 9.970 * [backup-simplify]: Simplify 1 into 1 9.970 * [taylor]: Taking taylor expansion of 0 in im 9.970 * [backup-simplify]: Simplify 0 into 0 9.970 * [backup-simplify]: Simplify 1 into 1 9.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.971 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 9.972 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 9.972 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 9.972 * [taylor]: Taking taylor expansion of 1/2 in im 9.972 * [backup-simplify]: Simplify 1/2 into 1/2 9.972 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.972 * [taylor]: Taking taylor expansion of im in im 9.972 * [backup-simplify]: Simplify 0 into 0 9.972 * [backup-simplify]: Simplify 1 into 1 9.972 * [backup-simplify]: Simplify (* 1 1) into 1 9.972 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.973 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.973 * [backup-simplify]: Simplify 0 into 0 9.973 * [backup-simplify]: Simplify 0 into 0 9.973 * [backup-simplify]: Simplify 0 into 0 9.973 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.974 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 9.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.975 * [backup-simplify]: Simplify (+ 0 0) into 0 9.975 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 9.975 * [taylor]: Taking taylor expansion of 0 in im 9.975 * [backup-simplify]: Simplify 0 into 0 9.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.977 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.977 * [backup-simplify]: Simplify 0 into 0 9.977 * [backup-simplify]: Simplify 0 into 0 9.977 * [backup-simplify]: Simplify 0 into 0 9.977 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 9.977 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 9.977 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 9.977 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 9.977 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 9.977 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.977 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.977 * [taylor]: Taking taylor expansion of im in im 9.977 * [backup-simplify]: Simplify 0 into 0 9.977 * [backup-simplify]: Simplify 1 into 1 9.977 * [backup-simplify]: Simplify (* 1 1) into 1 9.978 * [backup-simplify]: Simplify (/ 1 1) into 1 9.978 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.978 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.978 * [taylor]: Taking taylor expansion of re in im 9.978 * [backup-simplify]: Simplify re into re 9.978 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.978 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.978 * [backup-simplify]: Simplify (+ 1 0) into 1 9.978 * [backup-simplify]: Simplify (sqrt 1) into 1 9.979 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.979 * [backup-simplify]: Simplify (+ 0 0) into 0 9.980 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.980 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 9.980 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 9.980 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.980 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.980 * [taylor]: Taking taylor expansion of im in re 9.980 * [backup-simplify]: Simplify im into im 9.980 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.980 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.980 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.980 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.980 * [taylor]: Taking taylor expansion of re in re 9.980 * [backup-simplify]: Simplify 0 into 0 9.980 * [backup-simplify]: Simplify 1 into 1 9.980 * [backup-simplify]: Simplify (* 1 1) into 1 9.981 * [backup-simplify]: Simplify (/ 1 1) into 1 9.981 * [backup-simplify]: Simplify (+ 0 1) into 1 9.981 * [backup-simplify]: Simplify (sqrt 1) into 1 9.982 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.982 * [backup-simplify]: Simplify (+ 0 0) into 0 9.983 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.983 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 9.983 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 9.983 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.983 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.983 * [taylor]: Taking taylor expansion of im in re 9.983 * [backup-simplify]: Simplify im into im 9.983 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.983 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.983 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.983 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.983 * [taylor]: Taking taylor expansion of re in re 9.983 * [backup-simplify]: Simplify 0 into 0 9.983 * [backup-simplify]: Simplify 1 into 1 9.983 * [backup-simplify]: Simplify (* 1 1) into 1 9.984 * [backup-simplify]: Simplify (/ 1 1) into 1 9.984 * [backup-simplify]: Simplify (+ 0 1) into 1 9.984 * [backup-simplify]: Simplify (sqrt 1) into 1 9.984 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.985 * [backup-simplify]: Simplify (+ 0 0) into 0 9.985 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.986 * [taylor]: Taking taylor expansion of 1 in im 9.986 * [backup-simplify]: Simplify 1 into 1 9.986 * [taylor]: Taking taylor expansion of 0 in im 9.986 * [backup-simplify]: Simplify 0 into 0 9.986 * [backup-simplify]: Simplify 1 into 1 9.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.987 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 9.988 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 9.988 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 9.988 * [taylor]: Taking taylor expansion of 1/2 in im 9.988 * [backup-simplify]: Simplify 1/2 into 1/2 9.988 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.988 * [taylor]: Taking taylor expansion of im in im 9.988 * [backup-simplify]: Simplify 0 into 0 9.988 * [backup-simplify]: Simplify 1 into 1 9.988 * [backup-simplify]: Simplify (* 1 1) into 1 9.988 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.989 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.989 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.989 * [backup-simplify]: Simplify 0 into 0 9.989 * [backup-simplify]: Simplify 0 into 0 9.989 * [backup-simplify]: Simplify 0 into 0 9.989 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.990 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 9.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.992 * [backup-simplify]: Simplify (+ 0 0) into 0 9.993 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 9.993 * [taylor]: Taking taylor expansion of 0 in im 9.993 * [backup-simplify]: Simplify 0 into 0 9.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.995 * [backup-simplify]: Simplify 0 into 0 9.995 * [backup-simplify]: Simplify 0 into 0 9.995 * [backup-simplify]: Simplify 0 into 0 9.995 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 9.995 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 2 1) 9.995 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 9.995 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 9.995 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 9.995 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 9.995 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.995 * [taylor]: Taking taylor expansion of re in im 9.995 * [backup-simplify]: Simplify re into re 9.995 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.995 * [taylor]: Taking taylor expansion of im in im 9.995 * [backup-simplify]: Simplify 0 into 0 9.995 * [backup-simplify]: Simplify 1 into 1 9.996 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.996 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 9.996 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 9.996 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 9.996 * [backup-simplify]: Simplify (+ 0 0) into 0 9.997 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 9.997 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 9.997 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 9.997 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.997 * [taylor]: Taking taylor expansion of re in re 9.997 * [backup-simplify]: Simplify 0 into 0 9.997 * [backup-simplify]: Simplify 1 into 1 9.997 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.997 * [taylor]: Taking taylor expansion of im in re 9.997 * [backup-simplify]: Simplify im into im 9.997 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.997 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 9.997 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 9.997 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.998 * [backup-simplify]: Simplify (+ 0 0) into 0 9.998 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 9.998 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 9.998 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 9.998 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.998 * [taylor]: Taking taylor expansion of re in re 9.998 * [backup-simplify]: Simplify 0 into 0 9.998 * [backup-simplify]: Simplify 1 into 1 9.998 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.998 * [taylor]: Taking taylor expansion of im in re 9.998 * [backup-simplify]: Simplify im into im 9.998 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.998 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 9.998 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 9.998 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.999 * [backup-simplify]: Simplify (+ 0 0) into 0 9.999 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 9.999 * [taylor]: Taking taylor expansion of im in im 9.999 * [backup-simplify]: Simplify 0 into 0 9.999 * [backup-simplify]: Simplify 1 into 1 9.999 * [backup-simplify]: Simplify 0 into 0 9.999 * [taylor]: Taking taylor expansion of 0 in im 9.999 * [backup-simplify]: Simplify 0 into 0 9.999 * [backup-simplify]: Simplify 0 into 0 9.999 * [backup-simplify]: Simplify 1 into 1 10.000 * [backup-simplify]: Simplify (* 1 1) into 1 10.000 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 10.001 * [backup-simplify]: Simplify (+ 1 0) into 1 10.001 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 10.001 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 10.001 * [taylor]: Taking taylor expansion of 1/2 in im 10.001 * [backup-simplify]: Simplify 1/2 into 1/2 10.002 * [taylor]: Taking taylor expansion of im in im 10.002 * [backup-simplify]: Simplify 0 into 0 10.002 * [backup-simplify]: Simplify 1 into 1 10.002 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.003 * [backup-simplify]: Simplify 0 into 0 10.003 * [backup-simplify]: Simplify 0 into 0 10.003 * [backup-simplify]: Simplify 0 into 0 10.004 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.005 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 10.005 * [backup-simplify]: Simplify (+ 0 0) into 0 10.005 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 10.005 * [taylor]: Taking taylor expansion of 0 in im 10.005 * [backup-simplify]: Simplify 0 into 0 10.005 * [backup-simplify]: Simplify 0 into 0 10.006 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.006 * [backup-simplify]: Simplify 0 into 0 10.006 * [backup-simplify]: Simplify 0 into 0 10.006 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 10.007 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 10.007 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 10.007 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 10.007 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 10.007 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.007 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.007 * [taylor]: Taking taylor expansion of im in im 10.007 * [backup-simplify]: Simplify 0 into 0 10.007 * [backup-simplify]: Simplify 1 into 1 10.007 * [backup-simplify]: Simplify (* 1 1) into 1 10.008 * [backup-simplify]: Simplify (/ 1 1) into 1 10.008 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.008 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.008 * [taylor]: Taking taylor expansion of re in im 10.008 * [backup-simplify]: Simplify re into re 10.008 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.008 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.009 * [backup-simplify]: Simplify (+ 1 0) into 1 10.009 * [backup-simplify]: Simplify (sqrt 1) into 1 10.010 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.011 * [backup-simplify]: Simplify (+ 0 0) into 0 10.011 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.011 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 10.011 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 10.011 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.012 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.012 * [taylor]: Taking taylor expansion of im in re 10.012 * [backup-simplify]: Simplify im into im 10.012 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.012 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.012 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.012 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.012 * [taylor]: Taking taylor expansion of re in re 10.012 * [backup-simplify]: Simplify 0 into 0 10.012 * [backup-simplify]: Simplify 1 into 1 10.012 * [backup-simplify]: Simplify (* 1 1) into 1 10.013 * [backup-simplify]: Simplify (/ 1 1) into 1 10.013 * [backup-simplify]: Simplify (+ 0 1) into 1 10.013 * [backup-simplify]: Simplify (sqrt 1) into 1 10.014 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.015 * [backup-simplify]: Simplify (+ 0 0) into 0 10.016 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.016 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 10.016 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 10.016 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.016 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.016 * [taylor]: Taking taylor expansion of im in re 10.016 * [backup-simplify]: Simplify im into im 10.016 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.016 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.016 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.017 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.017 * [taylor]: Taking taylor expansion of re in re 10.017 * [backup-simplify]: Simplify 0 into 0 10.017 * [backup-simplify]: Simplify 1 into 1 10.017 * [backup-simplify]: Simplify (* 1 1) into 1 10.017 * [backup-simplify]: Simplify (/ 1 1) into 1 10.018 * [backup-simplify]: Simplify (+ 0 1) into 1 10.018 * [backup-simplify]: Simplify (sqrt 1) into 1 10.019 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.020 * [backup-simplify]: Simplify (+ 0 0) into 0 10.020 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.021 * [taylor]: Taking taylor expansion of 1 in im 10.021 * [backup-simplify]: Simplify 1 into 1 10.021 * [taylor]: Taking taylor expansion of 0 in im 10.021 * [backup-simplify]: Simplify 0 into 0 10.021 * [backup-simplify]: Simplify 1 into 1 10.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.023 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 10.024 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.024 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 10.024 * [taylor]: Taking taylor expansion of 1/2 in im 10.024 * [backup-simplify]: Simplify 1/2 into 1/2 10.024 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.024 * [taylor]: Taking taylor expansion of im in im 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 (/ 1/2 1) into 1/2 10.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.027 * [backup-simplify]: Simplify 0 into 0 10.027 * [backup-simplify]: Simplify 0 into 0 10.027 * [backup-simplify]: Simplify 0 into 0 10.027 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.027 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.030 * [backup-simplify]: Simplify (+ 0 0) into 0 10.030 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.030 * [taylor]: Taking taylor expansion of 0 in im 10.030 * [backup-simplify]: Simplify 0 into 0 10.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.032 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.032 * [backup-simplify]: Simplify 0 into 0 10.032 * [backup-simplify]: Simplify 0 into 0 10.032 * [backup-simplify]: Simplify 0 into 0 10.032 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 10.033 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 10.033 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 10.033 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 10.033 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 10.033 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.033 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.033 * [taylor]: Taking taylor expansion of im in im 10.033 * [backup-simplify]: Simplify 0 into 0 10.033 * [backup-simplify]: Simplify 1 into 1 10.034 * [backup-simplify]: Simplify (* 1 1) into 1 10.034 * [backup-simplify]: Simplify (/ 1 1) into 1 10.034 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.034 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.034 * [taylor]: Taking taylor expansion of re in im 10.034 * [backup-simplify]: Simplify re into re 10.034 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.034 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.035 * [backup-simplify]: Simplify (+ 1 0) into 1 10.035 * [backup-simplify]: Simplify (sqrt 1) into 1 10.036 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.037 * [backup-simplify]: Simplify (+ 0 0) into 0 10.038 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.038 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 10.038 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 10.038 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.038 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.038 * [taylor]: Taking taylor expansion of im in re 10.038 * [backup-simplify]: Simplify im into im 10.038 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.038 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.038 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.038 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.038 * [taylor]: Taking taylor expansion of re in re 10.038 * [backup-simplify]: Simplify 0 into 0 10.038 * [backup-simplify]: Simplify 1 into 1 10.038 * [backup-simplify]: Simplify (* 1 1) into 1 10.039 * [backup-simplify]: Simplify (/ 1 1) into 1 10.039 * [backup-simplify]: Simplify (+ 0 1) into 1 10.040 * [backup-simplify]: Simplify (sqrt 1) into 1 10.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.041 * [backup-simplify]: Simplify (+ 0 0) into 0 10.042 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.042 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 10.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 10.042 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.042 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.042 * [taylor]: Taking taylor expansion of im in re 10.042 * [backup-simplify]: Simplify im into im 10.042 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.043 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.043 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.043 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.043 * [taylor]: Taking taylor expansion of re in re 10.043 * [backup-simplify]: Simplify 0 into 0 10.043 * [backup-simplify]: Simplify 1 into 1 10.043 * [backup-simplify]: Simplify (* 1 1) into 1 10.043 * [backup-simplify]: Simplify (/ 1 1) into 1 10.044 * [backup-simplify]: Simplify (+ 0 1) into 1 10.044 * [backup-simplify]: Simplify (sqrt 1) into 1 10.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.046 * [backup-simplify]: Simplify (+ 0 0) into 0 10.047 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.047 * [taylor]: Taking taylor expansion of 1 in im 10.047 * [backup-simplify]: Simplify 1 into 1 10.047 * [taylor]: Taking taylor expansion of 0 in im 10.047 * [backup-simplify]: Simplify 0 into 0 10.047 * [backup-simplify]: Simplify 1 into 1 10.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.049 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 10.051 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.051 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 10.051 * [taylor]: Taking taylor expansion of 1/2 in im 10.051 * [backup-simplify]: Simplify 1/2 into 1/2 10.051 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.051 * [taylor]: Taking taylor expansion of im in im 10.051 * [backup-simplify]: Simplify 0 into 0 10.051 * [backup-simplify]: Simplify 1 into 1 10.051 * [backup-simplify]: Simplify (* 1 1) into 1 10.052 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.053 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.053 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.053 * [backup-simplify]: Simplify 0 into 0 10.053 * [backup-simplify]: Simplify 0 into 0 10.053 * [backup-simplify]: Simplify 0 into 0 10.054 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.054 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.056 * [backup-simplify]: Simplify (+ 0 0) into 0 10.057 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.057 * [taylor]: Taking taylor expansion of 0 in im 10.057 * [backup-simplify]: Simplify 0 into 0 10.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.059 * [backup-simplify]: Simplify 0 into 0 10.059 * [backup-simplify]: Simplify 0 into 0 10.059 * [backup-simplify]: Simplify 0 into 0 10.059 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 10.059 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1 1) 10.059 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 10.059 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 10.059 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 10.059 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 10.059 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.059 * [taylor]: Taking taylor expansion of re in im 10.059 * [backup-simplify]: Simplify re into re 10.059 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.060 * [taylor]: Taking taylor expansion of im in im 10.060 * [backup-simplify]: Simplify 0 into 0 10.060 * [backup-simplify]: Simplify 1 into 1 10.060 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.060 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 10.060 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 10.060 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 10.060 * [backup-simplify]: Simplify (+ 0 0) into 0 10.061 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 10.061 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 10.061 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 10.061 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.061 * [taylor]: Taking taylor expansion of re in re 10.061 * [backup-simplify]: Simplify 0 into 0 10.061 * [backup-simplify]: Simplify 1 into 1 10.061 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.061 * [taylor]: Taking taylor expansion of im in re 10.061 * [backup-simplify]: Simplify im into im 10.061 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.061 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 10.061 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.061 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.062 * [backup-simplify]: Simplify (+ 0 0) into 0 10.062 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.062 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 10.062 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 10.062 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.062 * [taylor]: Taking taylor expansion of re in re 10.062 * [backup-simplify]: Simplify 0 into 0 10.062 * [backup-simplify]: Simplify 1 into 1 10.062 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.062 * [taylor]: Taking taylor expansion of im in re 10.062 * [backup-simplify]: Simplify im into im 10.062 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.062 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 10.062 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.063 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.069 * [backup-simplify]: Simplify (+ 0 0) into 0 10.069 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.069 * [taylor]: Taking taylor expansion of im in im 10.069 * [backup-simplify]: Simplify 0 into 0 10.069 * [backup-simplify]: Simplify 1 into 1 10.069 * [backup-simplify]: Simplify 0 into 0 10.069 * [taylor]: Taking taylor expansion of 0 in im 10.069 * [backup-simplify]: Simplify 0 into 0 10.069 * [backup-simplify]: Simplify 0 into 0 10.069 * [backup-simplify]: Simplify 1 into 1 10.070 * [backup-simplify]: Simplify (* 1 1) into 1 10.071 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 10.071 * [backup-simplify]: Simplify (+ 1 0) into 1 10.072 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 10.072 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 10.072 * [taylor]: Taking taylor expansion of 1/2 in im 10.072 * [backup-simplify]: Simplify 1/2 into 1/2 10.072 * [taylor]: Taking taylor expansion of im in im 10.072 * [backup-simplify]: Simplify 0 into 0 10.072 * [backup-simplify]: Simplify 1 into 1 10.073 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.074 * [backup-simplify]: Simplify 0 into 0 10.074 * [backup-simplify]: Simplify 0 into 0 10.074 * [backup-simplify]: Simplify 0 into 0 10.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.075 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 10.076 * [backup-simplify]: Simplify (+ 0 0) into 0 10.076 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 10.076 * [taylor]: Taking taylor expansion of 0 in im 10.076 * [backup-simplify]: Simplify 0 into 0 10.076 * [backup-simplify]: Simplify 0 into 0 10.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.077 * [backup-simplify]: Simplify 0 into 0 10.077 * [backup-simplify]: Simplify 0 into 0 10.077 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 10.078 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 10.078 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 10.078 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 10.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 10.078 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.078 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.078 * [taylor]: Taking taylor expansion of im in im 10.078 * [backup-simplify]: Simplify 0 into 0 10.078 * [backup-simplify]: Simplify 1 into 1 10.078 * [backup-simplify]: Simplify (* 1 1) into 1 10.079 * [backup-simplify]: Simplify (/ 1 1) into 1 10.079 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.079 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.079 * [taylor]: Taking taylor expansion of re in im 10.079 * [backup-simplify]: Simplify re into re 10.079 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.079 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.079 * [backup-simplify]: Simplify (+ 1 0) into 1 10.080 * [backup-simplify]: Simplify (sqrt 1) into 1 10.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.082 * [backup-simplify]: Simplify (+ 0 0) into 0 10.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.083 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 10.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 10.083 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.083 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.083 * [taylor]: Taking taylor expansion of im in re 10.083 * [backup-simplify]: Simplify im into im 10.083 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.083 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.083 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.083 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.083 * [taylor]: Taking taylor expansion of re in re 10.083 * [backup-simplify]: Simplify 0 into 0 10.083 * [backup-simplify]: Simplify 1 into 1 10.084 * [backup-simplify]: Simplify (* 1 1) into 1 10.084 * [backup-simplify]: Simplify (/ 1 1) into 1 10.084 * [backup-simplify]: Simplify (+ 0 1) into 1 10.085 * [backup-simplify]: Simplify (sqrt 1) into 1 10.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.087 * [backup-simplify]: Simplify (+ 0 0) into 0 10.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.087 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 10.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 10.087 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.087 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.088 * [taylor]: Taking taylor expansion of im in re 10.088 * [backup-simplify]: Simplify im into im 10.088 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.088 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.088 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.088 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.088 * [taylor]: Taking taylor expansion of re in re 10.088 * [backup-simplify]: Simplify 0 into 0 10.088 * [backup-simplify]: Simplify 1 into 1 10.088 * [backup-simplify]: Simplify (* 1 1) into 1 10.089 * [backup-simplify]: Simplify (/ 1 1) into 1 10.089 * [backup-simplify]: Simplify (+ 0 1) into 1 10.090 * [backup-simplify]: Simplify (sqrt 1) into 1 10.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.091 * [backup-simplify]: Simplify (+ 0 0) into 0 10.092 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.092 * [taylor]: Taking taylor expansion of 1 in im 10.092 * [backup-simplify]: Simplify 1 into 1 10.092 * [taylor]: Taking taylor expansion of 0 in im 10.092 * [backup-simplify]: Simplify 0 into 0 10.093 * [backup-simplify]: Simplify 1 into 1 10.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.095 * [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)) 10.097 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 10.097 * [taylor]: Taking taylor expansion of 1/2 in im 10.097 * [backup-simplify]: Simplify 1/2 into 1/2 10.097 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.097 * [taylor]: Taking taylor expansion of im in im 10.097 * [backup-simplify]: Simplify 0 into 0 10.097 * [backup-simplify]: Simplify 1 into 1 10.098 * [backup-simplify]: Simplify (* 1 1) into 1 10.098 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.100 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.100 * [backup-simplify]: Simplify 0 into 0 10.100 * [backup-simplify]: Simplify 0 into 0 10.100 * [backup-simplify]: Simplify 0 into 0 10.100 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.100 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.103 * [backup-simplify]: Simplify (+ 0 0) into 0 10.104 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.104 * [taylor]: Taking taylor expansion of 0 in im 10.104 * [backup-simplify]: Simplify 0 into 0 10.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.106 * [backup-simplify]: Simplify 0 into 0 10.106 * [backup-simplify]: Simplify 0 into 0 10.106 * [backup-simplify]: Simplify 0 into 0 10.106 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 10.107 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 10.107 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 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 10.108 * [backup-simplify]: Simplify (/ 1 1) into 1 10.108 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.108 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.108 * [taylor]: Taking taylor expansion of re in im 10.108 * [backup-simplify]: Simplify re into re 10.108 * [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 10.109 * [backup-simplify]: Simplify (sqrt 1) into 1 10.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.111 * [backup-simplify]: Simplify (+ 0 0) into 0 10.111 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.111 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 10.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 10.112 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.112 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.112 * [taylor]: Taking taylor expansion of im in re 10.112 * [backup-simplify]: Simplify im into im 10.112 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.112 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.112 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.112 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.112 * [taylor]: Taking taylor expansion of re in re 10.112 * [backup-simplify]: Simplify 0 into 0 10.112 * [backup-simplify]: Simplify 1 into 1 10.113 * [backup-simplify]: Simplify (* 1 1) into 1 10.113 * [backup-simplify]: Simplify (/ 1 1) into 1 10.113 * [backup-simplify]: Simplify (+ 0 1) into 1 10.114 * [backup-simplify]: Simplify (sqrt 1) into 1 10.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.115 * [backup-simplify]: Simplify (+ 0 0) into 0 10.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.116 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 10.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 10.116 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.116 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.116 * [taylor]: Taking taylor expansion of im in re 10.116 * [backup-simplify]: Simplify im into im 10.116 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.117 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.117 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.117 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.117 * [taylor]: Taking taylor expansion of re in re 10.117 * [backup-simplify]: Simplify 0 into 0 10.117 * [backup-simplify]: Simplify 1 into 1 10.117 * [backup-simplify]: Simplify (* 1 1) into 1 10.117 * [backup-simplify]: Simplify (/ 1 1) into 1 10.118 * [backup-simplify]: Simplify (+ 0 1) into 1 10.118 * [backup-simplify]: Simplify (sqrt 1) into 1 10.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.120 * [backup-simplify]: Simplify (+ 0 0) into 0 10.121 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.121 * [taylor]: Taking taylor expansion of 1 in im 10.121 * [backup-simplify]: Simplify 1 into 1 10.121 * [taylor]: Taking taylor expansion of 0 in im 10.121 * [backup-simplify]: Simplify 0 into 0 10.121 * [backup-simplify]: Simplify 1 into 1 10.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.123 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 10.124 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.124 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 10.124 * [taylor]: Taking taylor expansion of 1/2 in im 10.124 * [backup-simplify]: Simplify 1/2 into 1/2 10.124 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.125 * [taylor]: Taking taylor expansion of im in im 10.125 * [backup-simplify]: Simplify 0 into 0 10.125 * [backup-simplify]: Simplify 1 into 1 10.125 * [backup-simplify]: Simplify (* 1 1) into 1 10.125 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.127 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.127 * [backup-simplify]: Simplify 0 into 0 10.127 * [backup-simplify]: Simplify 0 into 0 10.127 * [backup-simplify]: Simplify 0 into 0 10.127 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.128 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.130 * [backup-simplify]: Simplify (+ 0 0) into 0 10.130 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.131 * [taylor]: Taking taylor expansion of 0 in im 10.131 * [backup-simplify]: Simplify 0 into 0 10.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.132 * [backup-simplify]: Simplify 0 into 0 10.132 * [backup-simplify]: Simplify 0 into 0 10.132 * [backup-simplify]: Simplify 0 into 0 10.132 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 10.132 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 10.132 * [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) 10.132 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 10.132 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 10.132 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 10.132 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 10.132 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.133 * [taylor]: Taking taylor expansion of re in im 10.133 * [backup-simplify]: Simplify re into re 10.133 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.133 * [taylor]: Taking taylor expansion of im in im 10.133 * [backup-simplify]: Simplify 0 into 0 10.133 * [backup-simplify]: Simplify 1 into 1 10.133 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.133 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 10.133 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 10.133 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 10.133 * [backup-simplify]: Simplify (+ 0 0) into 0 10.133 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 10.133 * [taylor]: Taking taylor expansion of re in im 10.133 * [backup-simplify]: Simplify re into re 10.133 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 10.133 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 10.133 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 10.133 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.133 * [taylor]: Taking taylor expansion of re in re 10.133 * [backup-simplify]: Simplify 0 into 0 10.133 * [backup-simplify]: Simplify 1 into 1 10.133 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.133 * [taylor]: Taking taylor expansion of im in re 10.133 * [backup-simplify]: Simplify im into im 10.133 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.134 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 10.134 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.134 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.134 * [backup-simplify]: Simplify (+ 0 0) into 0 10.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.134 * [taylor]: Taking taylor expansion of re in re 10.134 * [backup-simplify]: Simplify 0 into 0 10.134 * [backup-simplify]: Simplify 1 into 1 10.134 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 10.134 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 10.134 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 10.134 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.134 * [taylor]: Taking taylor expansion of re in re 10.134 * [backup-simplify]: Simplify 0 into 0 10.134 * [backup-simplify]: Simplify 1 into 1 10.134 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.134 * [taylor]: Taking taylor expansion of im in re 10.134 * [backup-simplify]: Simplify im into im 10.134 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.134 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 10.135 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.135 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.135 * [backup-simplify]: Simplify (+ 0 0) into 0 10.135 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.135 * [taylor]: Taking taylor expansion of re in re 10.135 * [backup-simplify]: Simplify 0 into 0 10.135 * [backup-simplify]: Simplify 1 into 1 10.135 * [backup-simplify]: Simplify (- 0) into 0 10.135 * [backup-simplify]: Simplify (+ im 0) into im 10.135 * [taylor]: Taking taylor expansion of im in im 10.135 * [backup-simplify]: Simplify 0 into 0 10.135 * [backup-simplify]: Simplify 1 into 1 10.135 * [backup-simplify]: Simplify 0 into 0 10.136 * [backup-simplify]: Simplify (- 1) into -1 10.136 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.136 * [taylor]: Taking taylor expansion of -1 in im 10.136 * [backup-simplify]: Simplify -1 into -1 10.136 * [backup-simplify]: Simplify -1 into -1 10.136 * [backup-simplify]: Simplify 1 into 1 10.136 * [backup-simplify]: Simplify (* 1 1) into 1 10.136 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 10.137 * [backup-simplify]: Simplify (+ 1 0) into 1 10.137 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 10.137 * [backup-simplify]: Simplify (- 0) into 0 10.138 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 10.138 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 10.138 * [taylor]: Taking taylor expansion of 1/2 in im 10.138 * [backup-simplify]: Simplify 1/2 into 1/2 10.138 * [taylor]: Taking taylor expansion of (/ 1 im) in im 10.138 * [taylor]: Taking taylor expansion of im in im 10.138 * [backup-simplify]: Simplify 0 into 0 10.138 * [backup-simplify]: Simplify 1 into 1 10.138 * [backup-simplify]: Simplify (/ 1 1) into 1 10.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.139 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.139 * [backup-simplify]: Simplify 0 into 0 10.139 * [backup-simplify]: Simplify 0 into 0 10.139 * [backup-simplify]: Simplify 0 into 0 10.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.140 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 10.140 * [backup-simplify]: Simplify (+ 0 0) into 0 10.140 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 10.141 * [backup-simplify]: Simplify (- 0) into 0 10.141 * [backup-simplify]: Simplify (+ 0 0) into 0 10.141 * [taylor]: Taking taylor expansion of 0 in im 10.141 * [backup-simplify]: Simplify 0 into 0 10.141 * [backup-simplify]: Simplify 0 into 0 10.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.142 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 10.142 * [backup-simplify]: Simplify 0 into 0 10.142 * [backup-simplify]: Simplify 0 into 0 10.142 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 10.143 * [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)) 10.143 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 10.143 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 10.143 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 10.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 10.143 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.143 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.143 * [taylor]: Taking taylor expansion of im in im 10.143 * [backup-simplify]: Simplify 0 into 0 10.143 * [backup-simplify]: Simplify 1 into 1 10.144 * [backup-simplify]: Simplify (* 1 1) into 1 10.144 * [backup-simplify]: Simplify (/ 1 1) into 1 10.144 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.144 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.144 * [taylor]: Taking taylor expansion of re in im 10.144 * [backup-simplify]: Simplify re into re 10.144 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.145 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.145 * [backup-simplify]: Simplify (+ 1 0) into 1 10.146 * [backup-simplify]: Simplify (sqrt 1) into 1 10.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.147 * [backup-simplify]: Simplify (+ 0 0) into 0 10.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.148 * [taylor]: Taking taylor expansion of (/ 1 re) in im 10.148 * [taylor]: Taking taylor expansion of re in im 10.148 * [backup-simplify]: Simplify re into re 10.148 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 10.148 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 10.149 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 10.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 10.149 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.149 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.149 * [taylor]: Taking taylor expansion of im in re 10.149 * [backup-simplify]: Simplify im into im 10.149 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.149 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.149 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.149 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.149 * [taylor]: Taking taylor expansion of re in re 10.149 * [backup-simplify]: Simplify 0 into 0 10.149 * [backup-simplify]: Simplify 1 into 1 10.150 * [backup-simplify]: Simplify (* 1 1) into 1 10.150 * [backup-simplify]: Simplify (/ 1 1) into 1 10.151 * [backup-simplify]: Simplify (+ 0 1) into 1 10.151 * [backup-simplify]: Simplify (sqrt 1) into 1 10.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.153 * [backup-simplify]: Simplify (+ 0 0) into 0 10.154 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.154 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.154 * [taylor]: Taking taylor expansion of re in re 10.154 * [backup-simplify]: Simplify 0 into 0 10.154 * [backup-simplify]: Simplify 1 into 1 10.154 * [backup-simplify]: Simplify (/ 1 1) into 1 10.154 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 10.154 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 10.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 10.154 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.154 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.154 * [taylor]: Taking taylor expansion of im in re 10.154 * [backup-simplify]: Simplify im into im 10.154 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.155 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.155 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.155 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.155 * [taylor]: Taking taylor expansion of re in re 10.155 * [backup-simplify]: Simplify 0 into 0 10.155 * [backup-simplify]: Simplify 1 into 1 10.155 * [backup-simplify]: Simplify (* 1 1) into 1 10.155 * [backup-simplify]: Simplify (/ 1 1) into 1 10.155 * [backup-simplify]: Simplify (+ 0 1) into 1 10.156 * [backup-simplify]: Simplify (sqrt 1) into 1 10.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.157 * [backup-simplify]: Simplify (+ 0 0) into 0 10.157 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.157 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.157 * [taylor]: Taking taylor expansion of re in re 10.157 * [backup-simplify]: Simplify 0 into 0 10.157 * [backup-simplify]: Simplify 1 into 1 10.157 * [backup-simplify]: Simplify (/ 1 1) into 1 10.158 * [backup-simplify]: Simplify (- 1) into -1 10.158 * [backup-simplify]: Simplify (+ 1 -1) into 0 10.158 * [taylor]: Taking taylor expansion of 0 in im 10.158 * [backup-simplify]: Simplify 0 into 0 10.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.159 * [backup-simplify]: Simplify (- 0) into 0 10.159 * [backup-simplify]: Simplify (+ 0 0) into 0 10.159 * [taylor]: Taking taylor expansion of 0 in im 10.159 * [backup-simplify]: Simplify 0 into 0 10.159 * [backup-simplify]: Simplify 0 into 0 10.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.160 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 10.161 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.162 * [backup-simplify]: Simplify (- 0) into 0 10.162 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 10.162 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 10.162 * [taylor]: Taking taylor expansion of 1/2 in im 10.162 * [backup-simplify]: Simplify 1/2 into 1/2 10.162 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.162 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.162 * [taylor]: Taking taylor expansion of im in im 10.162 * [backup-simplify]: Simplify 0 into 0 10.162 * [backup-simplify]: Simplify 1 into 1 10.162 * [backup-simplify]: Simplify (* 1 1) into 1 10.163 * [backup-simplify]: Simplify (/ 1 1) into 1 10.163 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.164 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.164 * [backup-simplify]: Simplify 0 into 0 10.164 * [backup-simplify]: Simplify 0 into 0 10.164 * [backup-simplify]: Simplify 0 into 0 10.164 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.165 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.166 * [backup-simplify]: Simplify (+ 0 0) into 0 10.166 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.167 * [backup-simplify]: Simplify (- 0) into 0 10.167 * [backup-simplify]: Simplify (+ 0 0) into 0 10.167 * [taylor]: Taking taylor expansion of 0 in im 10.167 * [backup-simplify]: Simplify 0 into 0 10.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.169 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 10.169 * [backup-simplify]: Simplify 0 into 0 10.169 * [backup-simplify]: Simplify 0 into 0 10.169 * [backup-simplify]: Simplify 0 into 0 10.170 * [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))))) 10.170 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 10.170 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 10.170 * [taylor]: Taking taylor expansion of (/ 1 re) in im 10.170 * [taylor]: Taking taylor expansion of re in im 10.170 * [backup-simplify]: Simplify re into re 10.170 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 10.170 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 10.170 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 10.170 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.170 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.170 * [taylor]: Taking taylor expansion of im in im 10.170 * [backup-simplify]: Simplify 0 into 0 10.170 * [backup-simplify]: Simplify 1 into 1 10.171 * [backup-simplify]: Simplify (* 1 1) into 1 10.171 * [backup-simplify]: Simplify (/ 1 1) into 1 10.171 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.171 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.171 * [taylor]: Taking taylor expansion of re in im 10.171 * [backup-simplify]: Simplify re into re 10.171 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.171 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.171 * [backup-simplify]: Simplify (+ 1 0) into 1 10.172 * [backup-simplify]: Simplify (sqrt 1) into 1 10.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.173 * [backup-simplify]: Simplify (+ 0 0) into 0 10.173 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.173 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 10.173 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.173 * [taylor]: Taking taylor expansion of re in re 10.173 * [backup-simplify]: Simplify 0 into 0 10.173 * [backup-simplify]: Simplify 1 into 1 10.174 * [backup-simplify]: Simplify (/ 1 1) into 1 10.174 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 10.174 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 10.174 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.174 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.174 * [taylor]: Taking taylor expansion of im in re 10.174 * [backup-simplify]: Simplify im into im 10.174 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.174 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.174 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.174 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.174 * [taylor]: Taking taylor expansion of re in re 10.174 * [backup-simplify]: Simplify 0 into 0 10.174 * [backup-simplify]: Simplify 1 into 1 10.174 * [backup-simplify]: Simplify (* 1 1) into 1 10.174 * [backup-simplify]: Simplify (/ 1 1) into 1 10.175 * [backup-simplify]: Simplify (+ 0 1) into 1 10.175 * [backup-simplify]: Simplify (sqrt 1) into 1 10.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.176 * [backup-simplify]: Simplify (+ 0 0) into 0 10.176 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.176 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 10.176 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.176 * [taylor]: Taking taylor expansion of re in re 10.176 * [backup-simplify]: Simplify 0 into 0 10.177 * [backup-simplify]: Simplify 1 into 1 10.177 * [backup-simplify]: Simplify (/ 1 1) into 1 10.177 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 10.177 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 10.177 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.177 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.177 * [taylor]: Taking taylor expansion of im in re 10.177 * [backup-simplify]: Simplify im into im 10.177 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.177 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.177 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.177 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.177 * [taylor]: Taking taylor expansion of re in re 10.177 * [backup-simplify]: Simplify 0 into 0 10.177 * [backup-simplify]: Simplify 1 into 1 10.177 * [backup-simplify]: Simplify (* 1 1) into 1 10.178 * [backup-simplify]: Simplify (/ 1 1) into 1 10.178 * [backup-simplify]: Simplify (+ 0 1) into 1 10.178 * [backup-simplify]: Simplify (sqrt 1) into 1 10.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.179 * [backup-simplify]: Simplify (+ 0 0) into 0 10.180 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.180 * [backup-simplify]: Simplify (+ 1 1) into 2 10.180 * [taylor]: Taking taylor expansion of 2 in im 10.180 * [backup-simplify]: Simplify 2 into 2 10.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.181 * [backup-simplify]: Simplify (+ 0 0) into 0 10.181 * [taylor]: Taking taylor expansion of 0 in im 10.181 * [backup-simplify]: Simplify 0 into 0 10.181 * [backup-simplify]: Simplify 2 into 2 10.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.182 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 10.183 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.183 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 10.183 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 10.183 * [taylor]: Taking taylor expansion of 1/2 in im 10.183 * [backup-simplify]: Simplify 1/2 into 1/2 10.183 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.183 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.183 * [taylor]: Taking taylor expansion of im in im 10.183 * [backup-simplify]: Simplify 0 into 0 10.184 * [backup-simplify]: Simplify 1 into 1 10.184 * [backup-simplify]: Simplify (* 1 1) into 1 10.184 * [backup-simplify]: Simplify (/ 1 1) into 1 10.184 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.185 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.185 * [backup-simplify]: Simplify 0 into 0 10.185 * [backup-simplify]: Simplify 0 into 0 10.185 * [backup-simplify]: Simplify 0 into 0 10.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.186 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.186 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.188 * [backup-simplify]: Simplify (+ 0 0) into 0 10.189 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.189 * [backup-simplify]: Simplify (+ 0 0) into 0 10.189 * [taylor]: Taking taylor expansion of 0 in im 10.189 * [backup-simplify]: Simplify 0 into 0 10.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.193 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 10.193 * [backup-simplify]: Simplify 0 into 0 10.193 * [backup-simplify]: Simplify 0 into 0 10.193 * [backup-simplify]: Simplify 0 into 0 10.193 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 10.193 * * * [progress]: simplifying candidates 10.195 * [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) 10.198 * * [simplify]: Extracting # 0 : cost 0 10.198 * * [simplify]: Extracting # 1 : cost 0 10.199 * * [simplify]: Extracting # 2 : cost 0 10.199 * * [simplify]: Extracting # 3 : cost 0 10.199 * * [simplify]: Extracting # 4 : cost 0 10.199 * * [simplify]: Extracting # 5 : cost 0 10.199 * * [simplify]: Extracting # 6 : cost 0 10.200 * * [simplify]: iteration 0 : 64 enodes (cost 1227 ) 10.232 * * [simplify]: Extracting # 0 : cost 0 10.232 * * [simplify]: Extracting # 1 : cost 0 10.233 * * [simplify]: Extracting # 2 : cost 0 10.233 * * [simplify]: Extracting # 3 : cost 0 10.233 * * [simplify]: Extracting # 4 : cost 0 10.234 * * [simplify]: iteration 1 : 150 enodes (cost 1131 ) 10.304 * * [simplify]: Extracting # 0 : cost 0 10.305 * * [simplify]: Extracting # 1 : cost 0 10.306 * * [simplify]: Extracting # 2 : cost 0 10.306 * * [simplify]: Extracting # 3 : cost 0 10.307 * * [simplify]: Extracting # 4 : cost 0 10.308 * * [simplify]: iteration 2 : 366 enodes (cost 665 ) 10.468 * * [simplify]: Extracting # 0 : cost 0 10.469 * * [simplify]: Extracting # 1 : cost 0 10.471 * * [simplify]: Extracting # 2 : cost 0 10.472 * * [simplify]: Extracting # 3 : cost 0 10.473 * * [simplify]: Extracting # 4 : cost 0 10.475 * * [simplify]: iteration 3 : 1069 enodes (cost 626 ) 11.485 * * [simplify]: Extracting # 0 : cost 0 11.493 * * [simplify]: Extracting # 1 : cost 0 11.501 * * [simplify]: Extracting # 2 : cost 0 11.509 * * [simplify]: Extracting # 3 : cost 0 11.513 * * [simplify]: Extracting # 4 : cost 0 11.517 * * [simplify]: iteration 4 : 3842 enodes (cost 618 ) 13.275 * * [simplify]: Extracting # 0 : cost 0 13.281 * * [simplify]: Extracting # 1 : cost 0 13.286 * * [simplify]: Extracting # 2 : cost 0 13.291 * * [simplify]: Extracting # 3 : cost 0 13.297 * * [simplify]: Extracting # 4 : cost 0 13.302 * * [simplify]: iteration done: 5000 enodes (cost 616 ) 13.302 * [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) 13.312 * * * [progress]: adding candidates to table 13.651 * [progress]: [Phase 3 of 3] Extracting. 13.651 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 13.657 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re) 13.658 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # # # #) 13.742 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # #) 13.795 * * * * [regimes]: Trying to branch on im from (# # # # # # # # # #) 13.914 * * * * [regimes]: Trying to branch on re from (# # # # # # # # # #) 14.005 * * * [regime]: Found split indices: #