1.052 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.114 * * * [progress]: [2/2] Setting up program. 0.118 * [progress]: [Phase 2 of 3] Improving. 0.120 * [simplify]: Simplifying: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.121 * * [simplify]: Extracting # 0 : cost 0 0.121 * * [simplify]: Extracting # 1 : cost 0 0.122 * * [simplify]: Extracting # 2 : cost 0 0.122 * * [simplify]: Extracting # 3 : cost 0 0.122 * * [simplify]: Extracting # 4 : cost 0 0.122 * * [simplify]: Extracting # 5 : cost 0 0.122 * * [simplify]: Extracting # 6 : cost 0 0.122 * * [simplify]: Extracting # 7 : cost 0 0.122 * * [simplify]: Extracting # 8 : cost 0 0.122 * * [simplify]: iteration 0 : 12 enodes (cost 15 ) 0.127 * * [simplify]: Extracting # 0 : cost 0 0.127 * * [simplify]: Extracting # 1 : cost 0 0.127 * * [simplify]: Extracting # 2 : cost 0 0.127 * * [simplify]: iteration 1 : 17 enodes (cost 15 ) 0.170 * * [simplify]: Extracting # 0 : cost 0 0.170 * * [simplify]: Extracting # 1 : cost 0 0.170 * * [simplify]: Extracting # 2 : cost 0 0.170 * * [simplify]: iteration 2 : 24 enodes (cost 15 ) 0.179 * * [simplify]: Extracting # 0 : cost 0 0.179 * * [simplify]: Extracting # 1 : cost 0 0.179 * * [simplify]: Extracting # 2 : cost 0 0.179 * * [simplify]: iteration 3 : 30 enodes (cost 15 ) 0.192 * * [simplify]: Extracting # 0 : cost 0 0.192 * * [simplify]: Extracting # 1 : cost 0 0.192 * * [simplify]: Extracting # 2 : cost 0 0.192 * * [simplify]: iteration 4 : 35 enodes (cost 15 ) 0.200 * * [simplify]: Extracting # 0 : cost 0 0.200 * * [simplify]: iteration done: 35 enodes (cost 15 ) 0.200 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.202 * * [progress]: iteration 1 / 4 0.202 * * * [progress]: picking best candidate 0.204 * * * * [pick]: Picked # 0.204 * * * [progress]: localizing error 0.219 * * * [progress]: generating rewritten candidates 0.220 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 0.230 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.294 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1) 0.311 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.369 * * * [progress]: generating series expansions 0.369 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 0.378 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.378 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.379 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.379 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.379 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.379 * [taylor]: Taking taylor expansion of re in im 0.379 * [backup-simplify]: Simplify re into re 0.379 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.379 * [taylor]: Taking taylor expansion of im in im 0.379 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 1 into 1 0.380 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.381 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.381 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.381 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.382 * [backup-simplify]: Simplify (+ 0 0) into 0 0.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.382 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.382 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.382 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.382 * [taylor]: Taking taylor expansion of re in re 0.382 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify 1 into 1 0.383 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.383 * [taylor]: Taking taylor expansion of im in re 0.383 * [backup-simplify]: Simplify im into im 0.383 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.383 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.383 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.383 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.383 * [backup-simplify]: Simplify (+ 0 0) into 0 0.384 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.384 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.384 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.384 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.384 * [taylor]: Taking taylor expansion of re in re 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 1 into 1 0.384 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.384 * [taylor]: Taking taylor expansion of im in re 0.384 * [backup-simplify]: Simplify im into im 0.384 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.384 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.384 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.384 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.385 * [backup-simplify]: Simplify (+ 0 0) into 0 0.385 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.385 * [taylor]: Taking taylor expansion of im in im 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify 1 into 1 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [taylor]: Taking taylor expansion of 0 in im 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify 1 into 1 0.387 * [backup-simplify]: Simplify (* 1 1) into 1 0.388 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.388 * [backup-simplify]: Simplify (+ 1 0) into 1 0.389 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.389 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.389 * [taylor]: Taking taylor expansion of 1/2 in im 0.389 * [backup-simplify]: Simplify 1/2 into 1/2 0.389 * [taylor]: Taking taylor expansion of im in im 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify 1 into 1 0.390 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.391 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.393 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.400 * [backup-simplify]: Simplify (+ 0 0) into 0 0.400 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.400 * [taylor]: Taking taylor expansion of 0 in im 0.400 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.403 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.403 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.403 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.403 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.403 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.403 * [taylor]: Taking taylor expansion of im in im 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify 1 into 1 0.404 * [backup-simplify]: Simplify (* 1 1) into 1 0.404 * [backup-simplify]: Simplify (/ 1 1) into 1 0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.405 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.405 * [taylor]: Taking taylor expansion of re in im 0.405 * [backup-simplify]: Simplify re into re 0.405 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.405 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.405 * [backup-simplify]: Simplify (+ 1 0) into 1 0.406 * [backup-simplify]: Simplify (sqrt 1) into 1 0.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.408 * [backup-simplify]: Simplify (+ 0 0) into 0 0.409 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.409 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.409 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.409 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.409 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.409 * [taylor]: Taking taylor expansion of im in re 0.409 * [backup-simplify]: Simplify im into im 0.409 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.410 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.410 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.410 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.410 * [taylor]: Taking taylor expansion of re in re 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify 1 into 1 0.410 * [backup-simplify]: Simplify (* 1 1) into 1 0.410 * [backup-simplify]: Simplify (/ 1 1) into 1 0.411 * [backup-simplify]: Simplify (+ 0 1) into 1 0.411 * [backup-simplify]: Simplify (sqrt 1) into 1 0.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.413 * [backup-simplify]: Simplify (+ 0 0) into 0 0.414 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.414 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.414 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.414 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.414 * [taylor]: Taking taylor expansion of im in re 0.414 * [backup-simplify]: Simplify im into im 0.414 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.414 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.414 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.414 * [taylor]: Taking taylor expansion of re in re 0.414 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 1 into 1 0.415 * [backup-simplify]: Simplify (* 1 1) into 1 0.415 * [backup-simplify]: Simplify (/ 1 1) into 1 0.416 * [backup-simplify]: Simplify (+ 0 1) into 1 0.416 * [backup-simplify]: Simplify (sqrt 1) into 1 0.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.418 * [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 1 in im 0.419 * [backup-simplify]: Simplify 1 into 1 0.419 * [taylor]: Taking taylor expansion of 0 in im 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 1 into 1 0.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.421 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.423 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.423 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.423 * [taylor]: Taking taylor expansion of 1/2 in im 0.423 * [backup-simplify]: Simplify 1/2 into 1/2 0.423 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.423 * [taylor]: Taking taylor expansion of im in im 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 1 into 1 0.423 * [backup-simplify]: Simplify (* 1 1) into 1 0.424 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.426 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.428 * [backup-simplify]: Simplify (+ 0 0) into 0 0.429 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.429 * [taylor]: Taking taylor expansion of 0 in im 0.429 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.431 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.432 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.432 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.432 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.432 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.432 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.432 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.432 * [taylor]: Taking taylor expansion of im in im 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify 1 into 1 0.433 * [backup-simplify]: Simplify (* 1 1) into 1 0.433 * [backup-simplify]: Simplify (/ 1 1) into 1 0.433 * [taylor]: Taking taylor expansion of (/ 1 (pow re 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 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.433 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.434 * [backup-simplify]: Simplify (+ 1 0) into 1 0.434 * [backup-simplify]: Simplify (sqrt 1) into 1 0.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.436 * [backup-simplify]: Simplify (+ 0 0) into 0 0.437 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.437 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.437 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.437 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.437 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.437 * [taylor]: Taking taylor expansion of im in re 0.437 * [backup-simplify]: Simplify im into im 0.437 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.437 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.437 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.437 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.437 * [taylor]: Taking taylor expansion of re in re 0.437 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify 1 into 1 0.438 * [backup-simplify]: Simplify (* 1 1) into 1 0.438 * [backup-simplify]: Simplify (/ 1 1) into 1 0.439 * [backup-simplify]: Simplify (+ 0 1) into 1 0.439 * [backup-simplify]: Simplify (sqrt 1) into 1 0.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.441 * [backup-simplify]: Simplify (+ 0 0) into 0 0.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.442 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.442 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.442 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.442 * [taylor]: Taking taylor expansion of im in re 0.442 * [backup-simplify]: Simplify im into im 0.442 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.442 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.442 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.442 * [taylor]: Taking taylor expansion of re in re 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify 1 into 1 0.443 * [backup-simplify]: Simplify (* 1 1) into 1 0.443 * [backup-simplify]: Simplify (/ 1 1) into 1 0.444 * [backup-simplify]: Simplify (+ 0 1) into 1 0.444 * [backup-simplify]: Simplify (sqrt 1) into 1 0.445 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.446 * [backup-simplify]: Simplify (+ 0 0) into 0 0.447 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.447 * [taylor]: Taking taylor expansion of 1 in im 0.447 * [backup-simplify]: Simplify 1 into 1 0.447 * [taylor]: Taking taylor expansion of 0 in im 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify 1 into 1 0.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.449 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.450 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.450 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.450 * [taylor]: Taking taylor expansion of 1/2 in im 0.450 * [backup-simplify]: Simplify 1/2 into 1/2 0.451 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.451 * [taylor]: Taking taylor expansion of im in im 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 1 into 1 0.451 * [backup-simplify]: Simplify (* 1 1) into 1 0.451 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.452 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.453 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.454 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.457 * [backup-simplify]: Simplify (+ 0 0) into 0 0.457 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.457 * [taylor]: Taking taylor expansion of 0 in im 0.457 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.459 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.459 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.460 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.460 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 0.460 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 0.460 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.460 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.460 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.460 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.460 * [taylor]: Taking taylor expansion of re in im 0.460 * [backup-simplify]: Simplify re into re 0.460 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.461 * [taylor]: Taking taylor expansion of im in im 0.461 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify 1 into 1 0.461 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.461 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.461 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.461 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.462 * [backup-simplify]: Simplify (+ 0 0) into 0 0.462 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.462 * [taylor]: Taking taylor expansion of re in im 0.462 * [backup-simplify]: Simplify re into re 0.462 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.462 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.462 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.462 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.462 * [taylor]: Taking taylor expansion of re in re 0.462 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify 1 into 1 0.462 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.462 * [taylor]: Taking taylor expansion of im in re 0.462 * [backup-simplify]: Simplify im into im 0.463 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.463 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.463 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.463 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.463 * [backup-simplify]: Simplify (+ 0 0) into 0 0.464 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.464 * [taylor]: Taking taylor expansion of re in re 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify 1 into 1 0.464 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.464 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.464 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.464 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.464 * [taylor]: Taking taylor expansion of re in re 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify 1 into 1 0.464 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.464 * [taylor]: Taking taylor expansion of im in re 0.464 * [backup-simplify]: Simplify im into im 0.464 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.464 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.464 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.464 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.465 * [backup-simplify]: Simplify (+ 0 0) into 0 0.465 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.465 * [taylor]: Taking taylor expansion of re in re 0.465 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify 1 into 1 0.466 * [backup-simplify]: Simplify (- 0) into 0 0.466 * [backup-simplify]: Simplify (+ im 0) into im 0.466 * [taylor]: Taking taylor expansion of im in im 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify 1 into 1 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify (- 1) into -1 0.467 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.467 * [taylor]: Taking taylor expansion of -1 in im 0.467 * [backup-simplify]: Simplify -1 into -1 0.467 * [backup-simplify]: Simplify -1 into -1 0.467 * [backup-simplify]: Simplify 1 into 1 0.467 * [backup-simplify]: Simplify (* 1 1) into 1 0.468 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.468 * [backup-simplify]: Simplify (+ 1 0) into 1 0.469 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.470 * [backup-simplify]: Simplify (- 0) into 0 0.470 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 0.470 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.470 * [taylor]: Taking taylor expansion of 1/2 in im 0.470 * [backup-simplify]: Simplify 1/2 into 1/2 0.470 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.470 * [taylor]: Taking taylor expansion of im in im 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify 1 into 1 0.470 * [backup-simplify]: Simplify (/ 1 1) into 1 0.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.473 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.474 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.475 * [backup-simplify]: Simplify (+ 0 0) into 0 0.475 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.475 * [backup-simplify]: Simplify (- 0) into 0 0.476 * [backup-simplify]: Simplify (+ 0 0) into 0 0.476 * [taylor]: Taking taylor expansion of 0 in im 0.476 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.477 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.477 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 0.478 * [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)) 0.478 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.478 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.478 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.478 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.478 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.478 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.478 * [taylor]: Taking taylor expansion of im in im 0.478 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify 1 into 1 0.478 * [backup-simplify]: Simplify (* 1 1) into 1 0.479 * [backup-simplify]: Simplify (/ 1 1) into 1 0.479 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.479 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.479 * [taylor]: Taking taylor expansion of re in im 0.479 * [backup-simplify]: Simplify re into re 0.479 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.479 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.479 * [backup-simplify]: Simplify (+ 1 0) 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 0.480 * [backup-simplify]: Simplify (+ 0 0) into 0 0.481 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.481 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.481 * [taylor]: Taking taylor expansion of re in im 0.481 * [backup-simplify]: Simplify re into re 0.481 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.481 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.481 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.481 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.481 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.481 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.481 * [taylor]: Taking taylor expansion of im in re 0.481 * [backup-simplify]: Simplify im into im 0.481 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.481 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.481 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.481 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.481 * [taylor]: Taking taylor expansion of re in re 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify 1 into 1 0.482 * [backup-simplify]: Simplify (* 1 1) into 1 0.482 * [backup-simplify]: Simplify (/ 1 1) into 1 0.482 * [backup-simplify]: Simplify (+ 0 1) into 1 0.482 * [backup-simplify]: Simplify (sqrt 1) into 1 0.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.483 * [backup-simplify]: Simplify (+ 0 0) into 0 0.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.484 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.484 * [taylor]: Taking taylor expansion of re in re 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify 1 into 1 0.484 * [backup-simplify]: Simplify (/ 1 1) into 1 0.484 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.484 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.484 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.484 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.484 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.484 * [taylor]: Taking taylor expansion of im in re 0.484 * [backup-simplify]: Simplify im into im 0.484 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.484 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.484 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.484 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.485 * [taylor]: Taking taylor expansion of re in re 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify 1 into 1 0.485 * [backup-simplify]: Simplify (* 1 1) into 1 0.485 * [backup-simplify]: Simplify (/ 1 1) into 1 0.485 * [backup-simplify]: Simplify (+ 0 1) into 1 0.486 * [backup-simplify]: Simplify (sqrt 1) into 1 0.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.487 * [backup-simplify]: Simplify (+ 0 0) into 0 0.487 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.487 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.487 * [taylor]: Taking taylor expansion of re in re 0.487 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify 1 into 1 0.487 * [backup-simplify]: Simplify (/ 1 1) into 1 0.488 * [backup-simplify]: Simplify (- 1) into -1 0.488 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.488 * [taylor]: Taking taylor expansion of 0 in im 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.488 * [backup-simplify]: Simplify (- 0) into 0 0.489 * [backup-simplify]: Simplify (+ 0 0) into 0 0.489 * [taylor]: Taking taylor expansion of 0 in im 0.489 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.490 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.491 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.492 * [backup-simplify]: Simplify (- 0) into 0 0.492 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.492 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.492 * [taylor]: Taking taylor expansion of 1/2 in im 0.492 * [backup-simplify]: Simplify 1/2 into 1/2 0.492 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.492 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.492 * [taylor]: Taking taylor expansion of im in im 0.492 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify 1 into 1 0.492 * [backup-simplify]: Simplify (* 1 1) into 1 0.492 * [backup-simplify]: Simplify (/ 1 1) into 1 0.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.493 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.494 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.494 * [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 0.496 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.496 * [backup-simplify]: Simplify (- 0) into 0 0.497 * [backup-simplify]: Simplify (+ 0 0) into 0 0.497 * [taylor]: Taking taylor expansion of 0 in im 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.498 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [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))))) 0.498 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.499 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.499 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.499 * [taylor]: Taking taylor expansion of re in im 0.499 * [backup-simplify]: Simplify re into re 0.499 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.499 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.499 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.499 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.499 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.499 * [taylor]: Taking taylor expansion of im in im 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify 1 into 1 0.499 * [backup-simplify]: Simplify (* 1 1) into 1 0.499 * [backup-simplify]: Simplify (/ 1 1) into 1 0.499 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.499 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.499 * [taylor]: Taking taylor expansion of re in im 0.499 * [backup-simplify]: Simplify re into re 0.499 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.499 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.500 * [backup-simplify]: Simplify (+ 1 0) into 1 0.500 * [backup-simplify]: Simplify (sqrt 1) into 1 0.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.501 * [backup-simplify]: Simplify (+ 0 0) into 0 0.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.501 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.501 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.501 * [taylor]: Taking taylor expansion of re in re 0.501 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify 1 into 1 0.502 * [backup-simplify]: Simplify (/ 1 1) into 1 0.502 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.502 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.502 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.502 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.502 * [taylor]: Taking taylor expansion of im in re 0.502 * [backup-simplify]: Simplify im into im 0.502 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.502 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.502 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.502 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.502 * [taylor]: Taking taylor expansion of re in re 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify 1 into 1 0.502 * [backup-simplify]: Simplify (* 1 1) into 1 0.503 * [backup-simplify]: Simplify (/ 1 1) into 1 0.503 * [backup-simplify]: Simplify (+ 0 1) into 1 0.503 * [backup-simplify]: Simplify (sqrt 1) into 1 0.503 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.504 * [backup-simplify]: Simplify (+ 0 0) into 0 0.504 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.504 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.505 * [taylor]: Taking taylor expansion of (/ 1 re) 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 0.505 * [backup-simplify]: Simplify (/ 1 1) into 1 0.505 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 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 * [backup-simplify]: Simplify (+ 0 1) into 1 0.507 * [backup-simplify]: Simplify (sqrt 1) into 1 0.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.509 * [backup-simplify]: Simplify (+ 0 0) into 0 0.509 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.510 * [backup-simplify]: Simplify (+ 1 1) into 2 0.510 * [taylor]: Taking taylor expansion of 2 in im 0.510 * [backup-simplify]: Simplify 2 into 2 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 0.511 * [backup-simplify]: Simplify 2 into 2 0.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.515 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.516 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.517 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.517 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.517 * [taylor]: Taking taylor expansion of 1/2 in im 0.517 * [backup-simplify]: Simplify 1/2 into 1/2 0.517 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.517 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.517 * [taylor]: Taking taylor expansion of im in im 0.517 * [backup-simplify]: Simplify 0 into 0 0.517 * [backup-simplify]: Simplify 1 into 1 0.517 * [backup-simplify]: Simplify (* 1 1) into 1 0.518 * [backup-simplify]: Simplify (/ 1 1) into 1 0.518 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.520 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.521 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.521 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.524 * [backup-simplify]: Simplify (+ 0 0) into 0 0.524 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 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 0.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.526 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.526 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 0.527 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1) 0.527 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2)) 0.527 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.527 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.527 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.527 * [taylor]: Taking taylor expansion of re in im 0.527 * [backup-simplify]: Simplify re into re 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 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.527 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.527 * [taylor]: Taking taylor expansion of re in re 0.527 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify 1 into 1 0.527 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.527 * [taylor]: Taking taylor expansion of im in re 0.527 * [backup-simplify]: Simplify im into im 0.527 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.527 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.527 * [taylor]: Taking taylor expansion of re in re 0.527 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify 1 into 1 0.527 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.527 * [taylor]: Taking taylor expansion of im in re 0.527 * [backup-simplify]: Simplify im into im 0.527 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.527 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 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 (+ (* im 0) (* 0 im)) into 0 0.528 * [backup-simplify]: Simplify (+ 0 0) into 0 0.528 * [taylor]: Taking taylor expansion of 0 in im 0.528 * [backup-simplify]: Simplify 0 into 0 0.528 * [backup-simplify]: Simplify 0 into 0 0.528 * [backup-simplify]: Simplify (* 1 1) into 1 0.528 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.529 * [backup-simplify]: Simplify (+ 1 0) into 1 0.529 * [taylor]: Taking taylor expansion of 1 in im 0.529 * [backup-simplify]: Simplify 1 into 1 0.529 * [backup-simplify]: Simplify 1 into 1 0.529 * [backup-simplify]: Simplify 0 into 0 0.529 * [backup-simplify]: Simplify (* 1 1) into 1 0.529 * [backup-simplify]: Simplify 1 into 1 0.529 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.530 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.530 * [backup-simplify]: Simplify (+ 0 0) into 0 0.530 * [taylor]: Taking taylor expansion of 0 in im 0.530 * [backup-simplify]: Simplify 0 into 0 0.530 * [backup-simplify]: Simplify 0 into 0 0.530 * [backup-simplify]: Simplify 0 into 0 0.530 * [backup-simplify]: Simplify 0 into 0 0.530 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.530 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.532 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 0.532 * [backup-simplify]: Simplify (+ 0 0) into 0 0.532 * [taylor]: Taking taylor expansion of 0 in im 0.532 * [backup-simplify]: Simplify 0 into 0 0.532 * [backup-simplify]: Simplify 0 into 0 0.532 * [backup-simplify]: Simplify 0 into 0 0.532 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2)) 0.532 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 0.532 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.533 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.533 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.533 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.533 * [taylor]: Taking taylor expansion of im in im 0.533 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify 1 into 1 0.533 * [backup-simplify]: Simplify (* 1 1) into 1 0.533 * [backup-simplify]: Simplify (/ 1 1) into 1 0.533 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.533 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.533 * [taylor]: Taking taylor expansion of re in im 0.533 * [backup-simplify]: Simplify re into re 0.533 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.533 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.533 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.533 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.533 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.533 * [taylor]: Taking taylor expansion of im in re 0.533 * [backup-simplify]: Simplify im into im 0.533 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.534 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.534 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.534 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.534 * [taylor]: Taking taylor expansion of re in re 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify 1 into 1 0.534 * [backup-simplify]: Simplify (* 1 1) into 1 0.534 * [backup-simplify]: Simplify (/ 1 1) into 1 0.534 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.534 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.534 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.534 * [taylor]: Taking taylor expansion of im in re 0.534 * [backup-simplify]: Simplify im into im 0.534 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.534 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.534 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.534 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.534 * [taylor]: Taking taylor expansion of re in re 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify 1 into 1 0.537 * [backup-simplify]: Simplify (* 1 1) into 1 0.538 * [backup-simplify]: Simplify (/ 1 1) into 1 0.538 * [backup-simplify]: Simplify (+ 0 1) into 1 0.538 * [taylor]: Taking taylor expansion of 1 in im 0.538 * [backup-simplify]: Simplify 1 into 1 0.539 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.539 * [backup-simplify]: Simplify (+ 0 0) into 0 0.539 * [taylor]: Taking taylor expansion of 0 in im 0.539 * [backup-simplify]: Simplify 0 into 0 0.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.540 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.540 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 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 (* 1 1) into 1 0.541 * [backup-simplify]: Simplify (/ 1 1) into 1 0.541 * [backup-simplify]: Simplify 1 into 1 0.541 * [backup-simplify]: Simplify 1 into 1 0.541 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.541 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.543 * [backup-simplify]: Simplify (+ 0 0) into 0 0.543 * [taylor]: Taking taylor expansion of 0 in im 0.543 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.544 * [backup-simplify]: Simplify 0 into 0 0.544 * [backup-simplify]: Simplify 0 into 0 0.544 * [backup-simplify]: Simplify 0 into 0 0.544 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.544 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.546 * [backup-simplify]: Simplify (+ 0 0) into 0 0.546 * [taylor]: Taking taylor expansion of 0 in im 0.546 * [backup-simplify]: Simplify 0 into 0 0.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.547 * [backup-simplify]: Simplify 0 into 0 0.547 * [backup-simplify]: Simplify 0 into 0 0.547 * [backup-simplify]: Simplify 0 into 0 0.548 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2)) 0.548 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 0.548 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.548 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.548 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.548 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.548 * [taylor]: Taking taylor expansion of im in im 0.548 * [backup-simplify]: Simplify 0 into 0 0.548 * [backup-simplify]: Simplify 1 into 1 0.548 * [backup-simplify]: Simplify (* 1 1) into 1 0.548 * [backup-simplify]: Simplify (/ 1 1) into 1 0.548 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.548 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.548 * [taylor]: Taking taylor expansion of re in im 0.549 * [backup-simplify]: Simplify re into re 0.549 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.549 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.549 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.549 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.549 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.549 * [taylor]: Taking taylor expansion of im in re 0.549 * [backup-simplify]: Simplify im into im 0.549 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.549 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.549 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.549 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.549 * [taylor]: Taking taylor expansion of re in re 0.549 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify 1 into 1 0.549 * [backup-simplify]: Simplify (* 1 1) into 1 0.549 * [backup-simplify]: Simplify (/ 1 1) into 1 0.550 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.550 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 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 (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.550 * [taylor]: Taking taylor expansion of (/ 1 (pow re 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 * [backup-simplify]: Simplify (* 1 1) into 1 0.550 * [backup-simplify]: Simplify (/ 1 1) into 1 0.551 * [backup-simplify]: Simplify (+ 0 1) into 1 0.551 * [taylor]: Taking taylor expansion of 1 in im 0.551 * [backup-simplify]: Simplify 1 into 1 0.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.552 * [backup-simplify]: Simplify (+ 0 0) into 0 0.552 * [taylor]: Taking taylor expansion of 0 in im 0.552 * [backup-simplify]: Simplify 0 into 0 0.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.553 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.553 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.553 * [taylor]: Taking taylor expansion of (pow im 2) 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 (* 1 1) into 1 0.554 * [backup-simplify]: Simplify (/ 1 1) into 1 0.554 * [backup-simplify]: Simplify 1 into 1 0.554 * [backup-simplify]: Simplify 1 into 1 0.554 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.554 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.555 * [backup-simplify]: Simplify (+ 0 0) into 0 0.555 * [taylor]: Taking taylor expansion of 0 in im 0.555 * [backup-simplify]: Simplify 0 into 0 0.556 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.556 * [backup-simplify]: Simplify 0 into 0 0.556 * [backup-simplify]: Simplify 0 into 0 0.556 * [backup-simplify]: Simplify 0 into 0 0.557 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.557 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.558 * [backup-simplify]: Simplify (+ 0 0) into 0 0.558 * [taylor]: Taking taylor expansion of 0 in im 0.558 * [backup-simplify]: Simplify 0 into 0 0.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.559 * [backup-simplify]: Simplify 0 into 0 0.559 * [backup-simplify]: Simplify 0 into 0 0.559 * [backup-simplify]: Simplify 0 into 0 0.560 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2)) 0.560 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.560 * [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))) 0.560 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in (re im) around 0 0.560 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im 0.560 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.560 * [taylor]: Taking taylor expansion of 2.0 in im 0.560 * [backup-simplify]: Simplify 2.0 into 2.0 0.561 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.561 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.561 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 0.561 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.561 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.561 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.561 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.561 * [taylor]: Taking taylor expansion of re in im 0.561 * [backup-simplify]: Simplify re into re 0.561 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.561 * [taylor]: Taking taylor expansion of im in im 0.561 * [backup-simplify]: Simplify 0 into 0 0.561 * [backup-simplify]: Simplify 1 into 1 0.561 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.561 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.562 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.562 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.562 * [backup-simplify]: Simplify (+ 0 0) into 0 0.562 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.562 * [taylor]: Taking taylor expansion of re in im 0.562 * [backup-simplify]: Simplify re into re 0.562 * [backup-simplify]: Simplify (- re) into (- re) 0.562 * [backup-simplify]: Simplify (+ re (- re)) into 0 0.563 * [backup-simplify]: Simplify (- 0) into 0 0.563 * [backup-simplify]: Simplify (+ 0 0) into 0 0.563 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 0.563 * [backup-simplify]: Simplify (* 1 1) into 1 0.564 * [backup-simplify]: Simplify (+ 0 1) into 1 0.564 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 0.564 * [backup-simplify]: Simplify (- 0) into 0 0.564 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 0.565 * [backup-simplify]: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 0.565 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 0.565 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.566 * [backup-simplify]: Simplify (+ 0 0) into 0 0.566 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 0.566 * [backup-simplify]: Simplify (- 0) into 0 0.566 * [backup-simplify]: Simplify (+ 0 0) into 0 0.566 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0 0.566 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.566 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.566 * [taylor]: Taking taylor expansion of 2.0 in re 0.566 * [backup-simplify]: Simplify 2.0 into 2.0 0.567 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.567 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.567 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.567 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.567 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.567 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.567 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.567 * [taylor]: Taking taylor expansion of re in re 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [backup-simplify]: Simplify 1 into 1 0.567 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.567 * [taylor]: Taking taylor expansion of im in re 0.567 * [backup-simplify]: Simplify im into im 0.567 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.568 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.568 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.568 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.568 * [backup-simplify]: Simplify (+ 0 0) into 0 0.568 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.568 * [taylor]: Taking taylor expansion of re in re 0.568 * [backup-simplify]: Simplify 0 into 0 0.568 * [backup-simplify]: Simplify 1 into 1 0.568 * [backup-simplify]: Simplify (- 0) into 0 0.568 * [backup-simplify]: Simplify (+ im 0) into im 0.568 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.569 * [backup-simplify]: Simplify (- 1) into -1 0.569 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.569 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 0.569 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.569 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.569 * [taylor]: Taking taylor expansion of 2.0 in re 0.569 * [backup-simplify]: Simplify 2.0 into 2.0 0.569 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.570 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.570 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.570 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.570 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.570 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.570 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.570 * [taylor]: Taking taylor expansion of re in re 0.570 * [backup-simplify]: Simplify 0 into 0 0.570 * [backup-simplify]: Simplify 1 into 1 0.570 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.570 * [taylor]: Taking taylor expansion of im in re 0.570 * [backup-simplify]: Simplify im into im 0.570 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.570 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.570 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.570 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.570 * [backup-simplify]: Simplify (+ 0 0) into 0 0.571 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.571 * [taylor]: Taking taylor expansion of re in re 0.571 * [backup-simplify]: Simplify 0 into 0 0.571 * [backup-simplify]: Simplify 1 into 1 0.571 * [backup-simplify]: Simplify (- 0) into 0 0.571 * [backup-simplify]: Simplify (+ im 0) into im 0.571 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.571 * [backup-simplify]: Simplify (- 1) into -1 0.571 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.572 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 0.572 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 0.572 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.572 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.572 * [taylor]: Taking taylor expansion of 2.0 in im 0.572 * [backup-simplify]: Simplify 2.0 into 2.0 0.572 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.573 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.573 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.573 * [taylor]: Taking taylor expansion of im in im 0.573 * [backup-simplify]: Simplify 0 into 0 0.573 * [backup-simplify]: Simplify 1 into 1 0.573 * [backup-simplify]: Simplify (sqrt 0) into 0 0.574 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.575 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +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))) 0.576 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* -1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) 0.576 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 0.577 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.577 * [taylor]: Taking taylor expansion of 1/2 in im 0.577 * [backup-simplify]: Simplify 1/2 into 1/2 0.577 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.577 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.577 * [taylor]: Taking taylor expansion of 2.0 in im 0.577 * [backup-simplify]: Simplify 2.0 into 2.0 0.577 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.577 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.577 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.577 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.577 * [taylor]: Taking taylor expansion of im in im 0.577 * [backup-simplify]: Simplify 0 into 0 0.577 * [backup-simplify]: Simplify 1 into 1 0.578 * [backup-simplify]: Simplify (/ 1 1) into 1 0.578 * [backup-simplify]: Simplify (sqrt 0) into 0 0.579 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.581 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.582 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.583 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.584 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.585 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.589 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.592 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.593 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.597 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.599 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.602 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.603 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.609 * [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)))))))) 0.609 * [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)))) 0.609 * [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 0.609 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.609 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.609 * [taylor]: Taking taylor expansion of 2.0 in im 0.609 * [backup-simplify]: Simplify 2.0 into 2.0 0.610 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.611 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.611 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.611 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.611 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.611 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.611 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.611 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.611 * [taylor]: Taking taylor expansion of im in im 0.611 * [backup-simplify]: Simplify 0 into 0 0.611 * [backup-simplify]: Simplify 1 into 1 0.612 * [backup-simplify]: Simplify (* 1 1) into 1 0.612 * [backup-simplify]: Simplify (/ 1 1) into 1 0.612 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.612 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.612 * [taylor]: Taking taylor expansion of re in im 0.612 * [backup-simplify]: Simplify re into re 0.613 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.613 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.613 * [backup-simplify]: Simplify (+ 1 0) into 1 0.614 * [backup-simplify]: Simplify (sqrt 1) into 1 0.614 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.615 * [backup-simplify]: Simplify (+ 0 0) into 0 0.616 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.616 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.616 * [taylor]: Taking taylor expansion of re in im 0.616 * [backup-simplify]: Simplify re into re 0.616 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.617 * [backup-simplify]: Simplify (+ 1 0) into 1 0.617 * [backup-simplify]: Simplify (sqrt 0) into 0 0.619 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.619 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.619 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.619 * [taylor]: Taking taylor expansion of 2.0 in re 0.619 * [backup-simplify]: Simplify 2.0 into 2.0 0.619 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.620 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.620 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.620 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.620 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.620 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.620 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.620 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.620 * [taylor]: Taking taylor expansion of im in re 0.620 * [backup-simplify]: Simplify im into im 0.620 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.620 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.620 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.620 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.620 * [taylor]: Taking taylor expansion of re in re 0.620 * [backup-simplify]: Simplify 0 into 0 0.620 * [backup-simplify]: Simplify 1 into 1 0.621 * [backup-simplify]: Simplify (* 1 1) into 1 0.621 * [backup-simplify]: Simplify (/ 1 1) into 1 0.622 * [backup-simplify]: Simplify (+ 0 1) into 1 0.622 * [backup-simplify]: Simplify (sqrt 1) into 1 0.623 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.624 * [backup-simplify]: Simplify (+ 0 0) into 0 0.624 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.624 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.624 * [taylor]: Taking taylor expansion of re in re 0.625 * [backup-simplify]: Simplify 0 into 0 0.625 * [backup-simplify]: Simplify 1 into 1 0.625 * [backup-simplify]: Simplify (/ 1 1) into 1 0.625 * [backup-simplify]: Simplify (- 1) into -1 0.626 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.627 * [backup-simplify]: Simplify (- 0) into 0 0.627 * [backup-simplify]: Simplify (+ 0 0) into 0 0.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.629 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.631 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.632 * [backup-simplify]: Simplify (- 0) into 0 0.632 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.633 * [backup-simplify]: Simplify (sqrt 0) into 0 0.633 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.633 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.633 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.633 * [taylor]: Taking taylor expansion of 2.0 in re 0.633 * [backup-simplify]: Simplify 2.0 into 2.0 0.634 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.635 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.635 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.635 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.635 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.635 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.635 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.635 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.635 * [taylor]: Taking taylor expansion of im in re 0.635 * [backup-simplify]: Simplify im into im 0.635 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.635 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.635 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.635 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.635 * [taylor]: Taking taylor expansion of re in re 0.635 * [backup-simplify]: Simplify 0 into 0 0.635 * [backup-simplify]: Simplify 1 into 1 0.636 * [backup-simplify]: Simplify (* 1 1) into 1 0.636 * [backup-simplify]: Simplify (/ 1 1) into 1 0.637 * [backup-simplify]: Simplify (+ 0 1) into 1 0.637 * [backup-simplify]: Simplify (sqrt 1) into 1 0.638 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.639 * [backup-simplify]: Simplify (+ 0 0) into 0 0.640 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.640 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.640 * [taylor]: Taking taylor expansion of re in re 0.640 * [backup-simplify]: Simplify 0 into 0 0.640 * [backup-simplify]: Simplify 1 into 1 0.640 * [backup-simplify]: Simplify (/ 1 1) into 1 0.640 * [backup-simplify]: Simplify (- 1) into -1 0.641 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.642 * [backup-simplify]: Simplify (- 0) into 0 0.642 * [backup-simplify]: Simplify (+ 0 0) into 0 0.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.644 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.646 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.647 * [backup-simplify]: Simplify (- 0) into 0 0.647 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.648 * [backup-simplify]: Simplify (sqrt 0) into 0 0.649 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.649 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.649 * [taylor]: Taking taylor expansion of 0 in im 0.649 * [backup-simplify]: Simplify 0 into 0 0.650 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 0.650 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.650 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.650 * [taylor]: Taking taylor expansion of +nan.0 in im 0.650 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.650 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.650 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.650 * [taylor]: Taking taylor expansion of 2.0 in im 0.650 * [backup-simplify]: Simplify 2.0 into 2.0 0.651 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.652 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.652 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.652 * [taylor]: Taking taylor expansion of im in im 0.652 * [backup-simplify]: Simplify 0 into 0 0.652 * [backup-simplify]: Simplify 1 into 1 0.652 * [backup-simplify]: Simplify (* 1 1) into 1 0.653 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.654 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.655 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.656 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.656 * [backup-simplify]: Simplify (- 0) into 0 0.656 * [backup-simplify]: Simplify 0 into 0 0.656 * [backup-simplify]: Simplify 0 into 0 0.656 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.657 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.658 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.659 * [backup-simplify]: Simplify (+ 0 0) into 0 0.660 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.666 * [backup-simplify]: Simplify (- 0) into 0 0.666 * [backup-simplify]: Simplify (+ 0 0) into 0 0.667 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 0.668 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.670 * [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)))) 0.670 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.670 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.670 * [taylor]: Taking taylor expansion of +nan.0 in im 0.670 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.670 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.670 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.670 * [taylor]: Taking taylor expansion of 2.0 in im 0.670 * [backup-simplify]: Simplify 2.0 into 2.0 0.670 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.671 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.671 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.671 * [taylor]: Taking taylor expansion of im in im 0.671 * [backup-simplify]: Simplify 0 into 0 0.671 * [backup-simplify]: Simplify 1 into 1 0.672 * [backup-simplify]: Simplify (* 1 1) into 1 0.672 * [backup-simplify]: Simplify (* 1 1) into 1 0.673 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.674 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.675 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) 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 1)) into 0 0.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.679 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.680 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.681 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.681 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.683 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.684 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.685 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.685 * [backup-simplify]: Simplify (- 0) into 0 0.685 * [backup-simplify]: Simplify 0 into 0 0.686 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.687 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.688 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.690 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.690 * [backup-simplify]: Simplify (- 0) into 0 0.690 * [backup-simplify]: Simplify 0 into 0 0.690 * [backup-simplify]: Simplify 0 into 0 0.690 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.691 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.693 * [backup-simplify]: Simplify (+ 0 0) into 0 0.695 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 0.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.696 * [backup-simplify]: Simplify (- 0) into 0 0.696 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 0.697 * [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)))))) 0.699 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.701 * [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)))))) 0.701 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.701 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.701 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.701 * [taylor]: Taking taylor expansion of +nan.0 in im 0.701 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.701 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.701 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.701 * [taylor]: Taking taylor expansion of 2.0 in im 0.701 * [backup-simplify]: Simplify 2.0 into 2.0 0.701 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.702 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.702 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.702 * [taylor]: Taking taylor expansion of im in im 0.702 * [backup-simplify]: Simplify 0 into 0 0.702 * [backup-simplify]: Simplify 1 into 1 0.702 * [backup-simplify]: Simplify (* 1 1) into 1 0.703 * [backup-simplify]: Simplify (* 1 1) into 1 0.704 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.704 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.704 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.704 * [taylor]: Taking taylor expansion of +nan.0 in im 0.704 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.704 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.704 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.704 * [taylor]: Taking taylor expansion of 2.0 in im 0.704 * [backup-simplify]: Simplify 2.0 into 2.0 0.704 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.705 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.705 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.705 * [taylor]: Taking taylor expansion of im in im 0.705 * [backup-simplify]: Simplify 0 into 0 0.705 * [backup-simplify]: Simplify 1 into 1 0.705 * [backup-simplify]: Simplify (* 1 1) into 1 0.706 * [backup-simplify]: Simplify (* 1 1) into 1 0.706 * [backup-simplify]: Simplify (* 1 1) into 1 0.707 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.708 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.709 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.713 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.714 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.715 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.717 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.718 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.719 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.720 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.722 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.723 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.725 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.730 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.732 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.734 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.736 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.737 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.738 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.739 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.741 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.743 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.744 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.745 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.747 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 0.747 * [backup-simplify]: Simplify (- 0) into 0 0.748 * [backup-simplify]: Simplify (+ 0 0) into 0 0.748 * [backup-simplify]: Simplify (- 0) into 0 0.748 * [backup-simplify]: Simplify 0 into 0 0.748 * [backup-simplify]: Simplify 0 into 0 0.749 * [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))))))) 0.749 * [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 0.749 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.749 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.749 * [taylor]: Taking taylor expansion of 2.0 in im 0.749 * [backup-simplify]: Simplify 2.0 into 2.0 0.749 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.750 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.750 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.750 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.750 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.750 * [taylor]: Taking taylor expansion of re in im 0.750 * [backup-simplify]: Simplify re into re 0.750 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.750 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.750 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.750 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.750 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.750 * [taylor]: Taking taylor expansion of im in im 0.750 * [backup-simplify]: Simplify 0 into 0 0.750 * [backup-simplify]: Simplify 1 into 1 0.751 * [backup-simplify]: Simplify (* 1 1) into 1 0.751 * [backup-simplify]: Simplify (/ 1 1) into 1 0.751 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.751 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.751 * [taylor]: Taking taylor expansion of re in im 0.751 * [backup-simplify]: Simplify re into re 0.751 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.752 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.752 * [backup-simplify]: Simplify (+ 1 0) into 1 0.752 * [backup-simplify]: Simplify (sqrt 1) into 1 0.753 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.754 * [backup-simplify]: Simplify (+ 0 0) into 0 0.755 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.755 * [backup-simplify]: Simplify (+ 0 1) into 1 0.756 * [backup-simplify]: Simplify (sqrt 0) into 0 0.757 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.757 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.757 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.757 * [taylor]: Taking taylor expansion of 2.0 in re 0.757 * [backup-simplify]: Simplify 2.0 into 2.0 0.757 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.758 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.758 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.758 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.758 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.758 * [taylor]: Taking taylor expansion of re in re 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify 1 into 1 0.759 * [backup-simplify]: Simplify (/ 1 1) into 1 0.759 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.759 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.759 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.759 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.759 * [taylor]: Taking taylor expansion of im in re 0.759 * [backup-simplify]: Simplify im into im 0.759 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.759 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.759 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.759 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.759 * [taylor]: Taking taylor expansion of re in re 0.759 * [backup-simplify]: Simplify 0 into 0 0.759 * [backup-simplify]: Simplify 1 into 1 0.760 * [backup-simplify]: Simplify (* 1 1) into 1 0.760 * [backup-simplify]: Simplify (/ 1 1) into 1 0.760 * [backup-simplify]: Simplify (+ 0 1) into 1 0.761 * [backup-simplify]: Simplify (sqrt 1) into 1 0.761 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.762 * [backup-simplify]: Simplify (+ 0 0) into 0 0.763 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.763 * [backup-simplify]: Simplify (+ 1 1) into 2 0.764 * [backup-simplify]: Simplify (sqrt 0) into 0 0.765 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.765 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.765 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.765 * [taylor]: Taking taylor expansion of 2.0 in re 0.765 * [backup-simplify]: Simplify 2.0 into 2.0 0.765 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.766 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.766 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.766 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.766 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.766 * [taylor]: Taking taylor expansion of re in re 0.766 * [backup-simplify]: Simplify 0 into 0 0.766 * [backup-simplify]: Simplify 1 into 1 0.766 * [backup-simplify]: Simplify (/ 1 1) into 1 0.766 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.766 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.766 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.766 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.766 * [taylor]: Taking taylor expansion of im in re 0.766 * [backup-simplify]: Simplify im into im 0.766 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.766 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.766 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.766 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.766 * [taylor]: Taking taylor expansion of re in re 0.766 * [backup-simplify]: Simplify 0 into 0 0.766 * [backup-simplify]: Simplify 1 into 1 0.767 * [backup-simplify]: Simplify (* 1 1) into 1 0.767 * [backup-simplify]: Simplify (/ 1 1) into 1 0.767 * [backup-simplify]: Simplify (+ 0 1) into 1 0.767 * [backup-simplify]: Simplify (sqrt 1) into 1 0.768 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.768 * [backup-simplify]: Simplify (+ 0 0) into 0 0.769 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.769 * [backup-simplify]: Simplify (+ 1 1) into 2 0.769 * [backup-simplify]: Simplify (sqrt 0) into 0 0.770 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.770 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.770 * [taylor]: Taking taylor expansion of 0 in im 0.770 * [backup-simplify]: Simplify 0 into 0 0.772 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.772 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.772 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.772 * [taylor]: Taking taylor expansion of +nan.0 in im 0.772 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.772 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.772 * [taylor]: Taking taylor expansion of 2.0 in im 0.772 * [backup-simplify]: Simplify 2.0 into 2.0 0.772 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.772 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.772 * [backup-simplify]: Simplify 0 into 0 0.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.773 * [backup-simplify]: Simplify (+ 0 0) into 0 0.775 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.775 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.777 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.777 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.777 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.777 * [taylor]: Taking taylor expansion of +nan.0 in im 0.777 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.777 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.777 * [taylor]: Taking taylor expansion of 2.0 in im 0.777 * [backup-simplify]: Simplify 2.0 into 2.0 0.777 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.778 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.778 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.779 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.780 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.780 * [backup-simplify]: Simplify 0 into 0 0.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.782 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.783 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.783 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.784 * [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)) 0.785 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.786 * [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))))) 0.786 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.786 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.786 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.786 * [taylor]: Taking taylor expansion of +nan.0 in im 0.786 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.786 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.786 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.786 * [taylor]: Taking taylor expansion of 2.0 in im 0.786 * [backup-simplify]: Simplify 2.0 into 2.0 0.786 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.787 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.787 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.787 * [taylor]: Taking taylor expansion of im in im 0.787 * [backup-simplify]: Simplify 0 into 0 0.787 * [backup-simplify]: Simplify 1 into 1 0.787 * [backup-simplify]: Simplify (* 1 1) into 1 0.788 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.788 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.788 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.788 * [taylor]: Taking taylor expansion of +nan.0 in im 0.788 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.788 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.788 * [taylor]: Taking taylor expansion of 2.0 in im 0.788 * [backup-simplify]: Simplify 2.0 into 2.0 0.788 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.789 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.789 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.790 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.790 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.794 * [backup-simplify]: Simplify (+ 0 0) into 0 0.794 * [backup-simplify]: Simplify (- 0) into 0 0.794 * [backup-simplify]: Simplify 0 into 0 0.795 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.796 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.797 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.798 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.798 * [backup-simplify]: Simplify (- 0) into 0 0.798 * [backup-simplify]: Simplify 0 into 0 0.798 * [backup-simplify]: Simplify 0 into 0 0.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.799 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.800 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.802 * [backup-simplify]: Simplify (+ 0 0) into 0 0.803 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.803 * [backup-simplify]: Simplify (+ 0 0) into 0 0.805 * [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))) 0.806 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.809 * [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))))) 0.809 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.809 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.809 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.809 * [taylor]: Taking taylor expansion of +nan.0 in im 0.809 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.809 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.809 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.809 * [taylor]: Taking taylor expansion of 2.0 in im 0.809 * [backup-simplify]: Simplify 2.0 into 2.0 0.809 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.810 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.810 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.810 * [taylor]: Taking taylor expansion of im in im 0.810 * [backup-simplify]: Simplify 0 into 0 0.810 * [backup-simplify]: Simplify 1 into 1 0.811 * [backup-simplify]: Simplify (* 1 1) into 1 0.812 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.812 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.812 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.812 * [taylor]: Taking taylor expansion of +nan.0 in im 0.812 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.812 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.812 * [taylor]: Taking taylor expansion of 2.0 in im 0.812 * [backup-simplify]: Simplify 2.0 into 2.0 0.812 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.813 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.816 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.816 * [backup-simplify]: Simplify (+ 0 0) into 0 0.816 * [backup-simplify]: Simplify (- 0) into 0 0.816 * [backup-simplify]: Simplify 0 into 0 0.817 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.820 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.821 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.822 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.823 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.826 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.828 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.830 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.835 * [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))))))) 0.835 * * * [progress]: simplifying candidates 0.837 * [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))))))) 0.840 * * [simplify]: Extracting # 0 : cost 0 0.840 * * [simplify]: Extracting # 1 : cost 0 0.840 * * [simplify]: Extracting # 2 : cost 0 0.841 * * [simplify]: Extracting # 3 : cost 0 0.841 * * [simplify]: Extracting # 4 : cost 0 0.841 * * [simplify]: Extracting # 5 : cost 0 0.841 * * [simplify]: Extracting # 6 : cost 0 0.841 * * [simplify]: Extracting # 7 : cost 0 0.841 * * [simplify]: Extracting # 8 : cost 0 0.842 * * [simplify]: Extracting # 9 : cost 0 0.842 * * [simplify]: Extracting # 10 : cost 0 0.842 * * [simplify]: Extracting # 11 : cost 0 0.842 * * [simplify]: iteration 0 : 114 enodes (cost 942 ) 0.864 * * [simplify]: Extracting # 0 : cost 0 0.864 * * [simplify]: Extracting # 1 : cost 0 0.864 * * [simplify]: Extracting # 2 : cost 0 0.865 * * [simplify]: Extracting # 3 : cost 0 0.865 * * [simplify]: Extracting # 4 : cost 0 0.865 * * [simplify]: iteration 1 : 255 enodes (cost 828 ) 1.026 * * [simplify]: Extracting # 0 : cost 0 1.027 * * [simplify]: Extracting # 1 : cost 0 1.028 * * [simplify]: Extracting # 2 : cost 0 1.029 * * [simplify]: Extracting # 3 : cost 0 1.029 * * [simplify]: Extracting # 4 : cost 0 1.030 * * [simplify]: iteration 2 : 709 enodes (cost 752 ) 1.489 * * [simplify]: Extracting # 0 : cost 0 1.494 * * [simplify]: Extracting # 1 : cost 0 1.499 * * [simplify]: Extracting # 2 : cost 0 1.510 * * [simplify]: Extracting # 3 : cost 0 1.514 * * [simplify]: Extracting # 4 : cost 0 1.518 * * [simplify]: iteration 3 : 2136 enodes (cost 727 ) 2.835 * * [simplify]: Extracting # 0 : cost 0 2.849 * * [simplify]: Extracting # 1 : cost 0 2.855 * * [simplify]: Extracting # 2 : cost 0 2.861 * * [simplify]: Extracting # 3 : cost 0 2.867 * * [simplify]: Extracting # 4 : cost 0 2.872 * * [simplify]: iteration done: 5000 enodes (cost 721 ) 2.873 * [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))) 2.873 * * * [progress]: adding candidates to table 3.154 * * [progress]: iteration 2 / 4 3.154 * * * [progress]: picking best candidate 3.166 * * * * [pick]: Picked # 3.166 * * * [progress]: localizing error 3.197 * * * [progress]: generating rewritten candidates 3.197 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 1 1) 3.213 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 3.256 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1) 3.307 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1 1 1) 3.317 * * * [progress]: generating series expansions 3.317 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 1 1) 3.317 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 3.317 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 3.317 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 3.317 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.317 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.317 * [taylor]: Taking taylor expansion of re in im 3.317 * [backup-simplify]: Simplify re into re 3.317 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.317 * [taylor]: Taking taylor expansion of im in im 3.317 * [backup-simplify]: Simplify 0 into 0 3.317 * [backup-simplify]: Simplify 1 into 1 3.317 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.318 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 3.318 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.318 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.318 * [backup-simplify]: Simplify (+ 0 0) into 0 3.318 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.318 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.318 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.318 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.318 * [taylor]: Taking taylor expansion of re in re 3.318 * [backup-simplify]: Simplify 0 into 0 3.318 * [backup-simplify]: Simplify 1 into 1 3.318 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.318 * [taylor]: Taking taylor expansion of im in re 3.319 * [backup-simplify]: Simplify im into im 3.319 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.319 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.319 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.319 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.319 * [backup-simplify]: Simplify (+ 0 0) into 0 3.319 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.319 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.319 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.319 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.319 * [taylor]: Taking taylor expansion of re in re 3.319 * [backup-simplify]: Simplify 0 into 0 3.319 * [backup-simplify]: Simplify 1 into 1 3.319 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.319 * [taylor]: Taking taylor expansion of im in re 3.319 * [backup-simplify]: Simplify im into im 3.319 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.319 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.320 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.320 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.320 * [backup-simplify]: Simplify (+ 0 0) into 0 3.320 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.320 * [taylor]: Taking taylor expansion of im in im 3.320 * [backup-simplify]: Simplify 0 into 0 3.320 * [backup-simplify]: Simplify 1 into 1 3.320 * [backup-simplify]: Simplify 0 into 0 3.320 * [taylor]: Taking taylor expansion of 0 in im 3.320 * [backup-simplify]: Simplify 0 into 0 3.320 * [backup-simplify]: Simplify 0 into 0 3.320 * [backup-simplify]: Simplify 1 into 1 3.321 * [backup-simplify]: Simplify (* 1 1) into 1 3.321 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.321 * [backup-simplify]: Simplify (+ 1 0) into 1 3.322 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.322 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.322 * [taylor]: Taking taylor expansion of 1/2 in im 3.322 * [backup-simplify]: Simplify 1/2 into 1/2 3.322 * [taylor]: Taking taylor expansion of im in im 3.322 * [backup-simplify]: Simplify 0 into 0 3.322 * [backup-simplify]: Simplify 1 into 1 3.322 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.323 * [backup-simplify]: Simplify 0 into 0 3.323 * [backup-simplify]: Simplify 0 into 0 3.323 * [backup-simplify]: Simplify 0 into 0 3.323 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.324 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.324 * [backup-simplify]: Simplify (+ 0 0) into 0 3.324 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.324 * [taylor]: Taking taylor expansion of 0 in im 3.324 * [backup-simplify]: Simplify 0 into 0 3.324 * [backup-simplify]: Simplify 0 into 0 3.325 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.325 * [backup-simplify]: Simplify 0 into 0 3.325 * [backup-simplify]: Simplify 0 into 0 3.325 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 3.325 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 3.325 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.325 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.325 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.325 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.325 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.325 * [taylor]: Taking taylor expansion of im in im 3.325 * [backup-simplify]: Simplify 0 into 0 3.325 * [backup-simplify]: Simplify 1 into 1 3.325 * [backup-simplify]: Simplify (* 1 1) into 1 3.326 * [backup-simplify]: Simplify (/ 1 1) into 1 3.326 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.326 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.326 * [taylor]: Taking taylor expansion of re in im 3.326 * [backup-simplify]: Simplify re into re 3.326 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.326 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.326 * [backup-simplify]: Simplify (+ 1 0) into 1 3.326 * [backup-simplify]: Simplify (sqrt 1) into 1 3.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.327 * [backup-simplify]: Simplify (+ 0 0) into 0 3.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.328 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.328 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.328 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.328 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.328 * [taylor]: Taking taylor expansion of im in re 3.328 * [backup-simplify]: Simplify im into im 3.328 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.328 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.328 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.328 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.328 * [taylor]: Taking taylor expansion of re in re 3.328 * [backup-simplify]: Simplify 0 into 0 3.328 * [backup-simplify]: Simplify 1 into 1 3.328 * [backup-simplify]: Simplify (* 1 1) into 1 3.329 * [backup-simplify]: Simplify (/ 1 1) into 1 3.329 * [backup-simplify]: Simplify (+ 0 1) into 1 3.329 * [backup-simplify]: Simplify (sqrt 1) into 1 3.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.331 * [backup-simplify]: Simplify (+ 0 0) into 0 3.332 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.332 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.332 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.332 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.332 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.332 * [taylor]: Taking taylor expansion of im in re 3.332 * [backup-simplify]: Simplify im into im 3.332 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.332 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.332 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.332 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.332 * [taylor]: Taking taylor expansion of re in re 3.332 * [backup-simplify]: Simplify 0 into 0 3.332 * [backup-simplify]: Simplify 1 into 1 3.333 * [backup-simplify]: Simplify (* 1 1) into 1 3.333 * [backup-simplify]: Simplify (/ 1 1) into 1 3.333 * [backup-simplify]: Simplify (+ 0 1) into 1 3.334 * [backup-simplify]: Simplify (sqrt 1) into 1 3.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.336 * [backup-simplify]: Simplify (+ 0 0) into 0 3.336 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.336 * [taylor]: Taking taylor expansion of 1 in im 3.336 * [backup-simplify]: Simplify 1 into 1 3.336 * [taylor]: Taking taylor expansion of 0 in im 3.336 * [backup-simplify]: Simplify 0 into 0 3.337 * [backup-simplify]: Simplify 1 into 1 3.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.339 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.340 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.340 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.340 * [taylor]: Taking taylor expansion of 1/2 in im 3.340 * [backup-simplify]: Simplify 1/2 into 1/2 3.340 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.340 * [taylor]: Taking taylor expansion of im in im 3.340 * [backup-simplify]: Simplify 0 into 0 3.340 * [backup-simplify]: Simplify 1 into 1 3.341 * [backup-simplify]: Simplify (* 1 1) into 1 3.341 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.342 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.343 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.343 * [backup-simplify]: Simplify 0 into 0 3.343 * [backup-simplify]: Simplify 0 into 0 3.343 * [backup-simplify]: Simplify 0 into 0 3.343 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.343 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.346 * [backup-simplify]: Simplify (+ 0 0) into 0 3.346 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.346 * [taylor]: Taking taylor expansion of 0 in im 3.346 * [backup-simplify]: Simplify 0 into 0 3.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.349 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.349 * [backup-simplify]: Simplify 0 into 0 3.349 * [backup-simplify]: Simplify 0 into 0 3.349 * [backup-simplify]: Simplify 0 into 0 3.349 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 3.349 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 3.349 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.349 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.349 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.349 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.349 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.349 * [taylor]: Taking taylor expansion of im in im 3.349 * [backup-simplify]: Simplify 0 into 0 3.349 * [backup-simplify]: Simplify 1 into 1 3.350 * [backup-simplify]: Simplify (* 1 1) into 1 3.350 * [backup-simplify]: Simplify (/ 1 1) into 1 3.350 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.350 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.350 * [taylor]: Taking taylor expansion of re in im 3.350 * [backup-simplify]: Simplify re into re 3.350 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.351 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.351 * [backup-simplify]: Simplify (+ 1 0) into 1 3.351 * [backup-simplify]: Simplify (sqrt 1) into 1 3.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.353 * [backup-simplify]: Simplify (+ 0 0) into 0 3.354 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.354 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.354 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.354 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.354 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.354 * [taylor]: Taking taylor expansion of im in re 3.354 * [backup-simplify]: Simplify im into im 3.354 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.354 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.354 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.354 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.354 * [taylor]: Taking taylor expansion of re in re 3.354 * [backup-simplify]: Simplify 0 into 0 3.354 * [backup-simplify]: Simplify 1 into 1 3.354 * [backup-simplify]: Simplify (* 1 1) into 1 3.355 * [backup-simplify]: Simplify (/ 1 1) into 1 3.355 * [backup-simplify]: Simplify (+ 0 1) into 1 3.355 * [backup-simplify]: Simplify (sqrt 1) into 1 3.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.356 * [backup-simplify]: Simplify (+ 0 0) into 0 3.357 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.357 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.357 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.357 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.357 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.357 * [taylor]: Taking taylor expansion of im in re 3.357 * [backup-simplify]: Simplify im into im 3.357 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.357 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.357 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.357 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.357 * [taylor]: Taking taylor expansion of re in re 3.357 * [backup-simplify]: Simplify 0 into 0 3.357 * [backup-simplify]: Simplify 1 into 1 3.358 * [backup-simplify]: Simplify (* 1 1) into 1 3.358 * [backup-simplify]: Simplify (/ 1 1) into 1 3.358 * [backup-simplify]: Simplify (+ 0 1) into 1 3.358 * [backup-simplify]: Simplify (sqrt 1) into 1 3.359 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.359 * [backup-simplify]: Simplify (+ 0 0) into 0 3.360 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.360 * [taylor]: Taking taylor expansion of 1 in im 3.360 * [backup-simplify]: Simplify 1 into 1 3.360 * [taylor]: Taking taylor expansion of 0 in im 3.360 * [backup-simplify]: Simplify 0 into 0 3.360 * [backup-simplify]: Simplify 1 into 1 3.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.361 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.362 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.362 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.362 * [taylor]: Taking taylor expansion of 1/2 in im 3.362 * [backup-simplify]: Simplify 1/2 into 1/2 3.362 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.362 * [taylor]: Taking taylor expansion of im in im 3.362 * [backup-simplify]: Simplify 0 into 0 3.362 * [backup-simplify]: Simplify 1 into 1 3.362 * [backup-simplify]: Simplify (* 1 1) into 1 3.363 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.363 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.363 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.364 * [backup-simplify]: Simplify 0 into 0 3.364 * [backup-simplify]: Simplify 0 into 0 3.364 * [backup-simplify]: Simplify 0 into 0 3.364 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.364 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.365 * [backup-simplify]: Simplify (+ 0 0) into 0 3.366 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.366 * [taylor]: Taking taylor expansion of 0 in im 3.366 * [backup-simplify]: Simplify 0 into 0 3.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.367 * [backup-simplify]: Simplify 0 into 0 3.367 * [backup-simplify]: Simplify 0 into 0 3.367 * [backup-simplify]: Simplify 0 into 0 3.367 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 3.367 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 3.367 * [backup-simplify]: Simplify (exp (log (- (sqrt (+ (* re re) (* im im))) re))) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 3.367 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 3.367 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 3.367 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 3.367 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.367 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.367 * [taylor]: Taking taylor expansion of re in im 3.367 * [backup-simplify]: Simplify re into re 3.367 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.367 * [taylor]: Taking taylor expansion of im in im 3.367 * [backup-simplify]: Simplify 0 into 0 3.367 * [backup-simplify]: Simplify 1 into 1 3.368 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.368 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 3.368 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.368 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.368 * [backup-simplify]: Simplify (+ 0 0) into 0 3.368 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.368 * [taylor]: Taking taylor expansion of re in im 3.368 * [backup-simplify]: Simplify re into re 3.368 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 3.368 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.368 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.368 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.368 * [taylor]: Taking taylor expansion of re in re 3.368 * [backup-simplify]: Simplify 0 into 0 3.368 * [backup-simplify]: Simplify 1 into 1 3.368 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.368 * [taylor]: Taking taylor expansion of im in re 3.368 * [backup-simplify]: Simplify im into im 3.368 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.368 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.369 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.369 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.369 * [backup-simplify]: Simplify (+ 0 0) into 0 3.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.369 * [taylor]: Taking taylor expansion of re in re 3.369 * [backup-simplify]: Simplify 0 into 0 3.369 * [backup-simplify]: Simplify 1 into 1 3.369 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 3.369 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.369 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.369 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.369 * [taylor]: Taking taylor expansion of re in re 3.369 * [backup-simplify]: Simplify 0 into 0 3.369 * [backup-simplify]: Simplify 1 into 1 3.369 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.369 * [taylor]: Taking taylor expansion of im in re 3.369 * [backup-simplify]: Simplify im into im 3.369 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.369 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.369 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.370 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.370 * [backup-simplify]: Simplify (+ 0 0) into 0 3.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.370 * [taylor]: Taking taylor expansion of re in re 3.370 * [backup-simplify]: Simplify 0 into 0 3.370 * [backup-simplify]: Simplify 1 into 1 3.370 * [backup-simplify]: Simplify (- 0) into 0 3.370 * [backup-simplify]: Simplify (+ im 0) into im 3.370 * [taylor]: Taking taylor expansion of im in im 3.370 * [backup-simplify]: Simplify 0 into 0 3.370 * [backup-simplify]: Simplify 1 into 1 3.370 * [backup-simplify]: Simplify 0 into 0 3.371 * [backup-simplify]: Simplify (- 1) into -1 3.371 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.371 * [taylor]: Taking taylor expansion of -1 in im 3.371 * [backup-simplify]: Simplify -1 into -1 3.371 * [backup-simplify]: Simplify -1 into -1 3.371 * [backup-simplify]: Simplify 1 into 1 3.371 * [backup-simplify]: Simplify (* 1 1) into 1 3.371 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.372 * [backup-simplify]: Simplify (+ 1 0) into 1 3.372 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.372 * [backup-simplify]: Simplify (- 0) into 0 3.372 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 3.373 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 3.373 * [taylor]: Taking taylor expansion of 1/2 in im 3.373 * [backup-simplify]: Simplify 1/2 into 1/2 3.373 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.373 * [taylor]: Taking taylor expansion of im in im 3.373 * [backup-simplify]: Simplify 0 into 0 3.373 * [backup-simplify]: Simplify 1 into 1 3.373 * [backup-simplify]: Simplify (/ 1 1) into 1 3.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.374 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.374 * [backup-simplify]: Simplify 0 into 0 3.374 * [backup-simplify]: Simplify 0 into 0 3.374 * [backup-simplify]: Simplify 0 into 0 3.374 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.375 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.375 * [backup-simplify]: Simplify (+ 0 0) into 0 3.375 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.375 * [backup-simplify]: Simplify (- 0) into 0 3.376 * [backup-simplify]: Simplify (+ 0 0) into 0 3.376 * [taylor]: Taking taylor expansion of 0 in im 3.376 * [backup-simplify]: Simplify 0 into 0 3.376 * [backup-simplify]: Simplify 0 into 0 3.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.377 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.377 * [backup-simplify]: Simplify 0 into 0 3.377 * [backup-simplify]: Simplify 0 into 0 3.377 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 3.378 * [backup-simplify]: Simplify (exp (log (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 3.378 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 3.378 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 3.378 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.378 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.378 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.378 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.378 * [taylor]: Taking taylor expansion of im in im 3.378 * [backup-simplify]: Simplify 0 into 0 3.378 * [backup-simplify]: Simplify 1 into 1 3.378 * [backup-simplify]: Simplify (* 1 1) into 1 3.378 * [backup-simplify]: Simplify (/ 1 1) into 1 3.378 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.378 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.378 * [taylor]: Taking taylor expansion of re in im 3.378 * [backup-simplify]: Simplify re into re 3.378 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.379 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.379 * [backup-simplify]: Simplify (+ 1 0) into 1 3.379 * [backup-simplify]: Simplify (sqrt 1) into 1 3.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.380 * [backup-simplify]: Simplify (+ 0 0) into 0 3.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.381 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.381 * [taylor]: Taking taylor expansion of re in im 3.381 * [backup-simplify]: Simplify re into re 3.381 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.381 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 3.381 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.381 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.381 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.381 * [taylor]: Taking taylor expansion of im in re 3.381 * [backup-simplify]: Simplify im into im 3.381 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.381 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.381 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.381 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.381 * [taylor]: Taking taylor expansion of re in re 3.381 * [backup-simplify]: Simplify 0 into 0 3.381 * [backup-simplify]: Simplify 1 into 1 3.381 * [backup-simplify]: Simplify (* 1 1) into 1 3.382 * [backup-simplify]: Simplify (/ 1 1) into 1 3.385 * [backup-simplify]: Simplify (+ 0 1) into 1 3.385 * [backup-simplify]: Simplify (sqrt 1) into 1 3.386 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.386 * [backup-simplify]: Simplify (+ 0 0) into 0 3.387 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.387 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.387 * [taylor]: Taking taylor expansion of re in re 3.387 * [backup-simplify]: Simplify 0 into 0 3.387 * [backup-simplify]: Simplify 1 into 1 3.387 * [backup-simplify]: Simplify (/ 1 1) into 1 3.387 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 3.387 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.387 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.387 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.387 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.387 * [taylor]: Taking taylor expansion of im in re 3.387 * [backup-simplify]: Simplify im into im 3.387 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.387 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.387 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.387 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.387 * [taylor]: Taking taylor expansion of re in re 3.388 * [backup-simplify]: Simplify 0 into 0 3.388 * [backup-simplify]: Simplify 1 into 1 3.388 * [backup-simplify]: Simplify (* 1 1) into 1 3.388 * [backup-simplify]: Simplify (/ 1 1) into 1 3.388 * [backup-simplify]: Simplify (+ 0 1) into 1 3.389 * [backup-simplify]: Simplify (sqrt 1) into 1 3.389 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.390 * [backup-simplify]: Simplify (+ 0 0) into 0 3.390 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.390 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.390 * [taylor]: Taking taylor expansion of re in re 3.390 * [backup-simplify]: Simplify 0 into 0 3.390 * [backup-simplify]: Simplify 1 into 1 3.391 * [backup-simplify]: Simplify (/ 1 1) into 1 3.391 * [backup-simplify]: Simplify (- 1) into -1 3.391 * [backup-simplify]: Simplify (+ 1 -1) into 0 3.391 * [taylor]: Taking taylor expansion of 0 in im 3.391 * [backup-simplify]: Simplify 0 into 0 3.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.392 * [backup-simplify]: Simplify (- 0) into 0 3.392 * [backup-simplify]: Simplify (+ 0 0) into 0 3.392 * [taylor]: Taking taylor expansion of 0 in im 3.392 * [backup-simplify]: Simplify 0 into 0 3.392 * [backup-simplify]: Simplify 0 into 0 3.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.393 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.395 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.396 * [backup-simplify]: Simplify (- 0) into 0 3.396 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 3.396 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 3.396 * [taylor]: Taking taylor expansion of 1/2 in im 3.396 * [backup-simplify]: Simplify 1/2 into 1/2 3.396 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.396 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.396 * [taylor]: Taking taylor expansion of im in im 3.396 * [backup-simplify]: Simplify 0 into 0 3.396 * [backup-simplify]: Simplify 1 into 1 3.397 * [backup-simplify]: Simplify (* 1 1) into 1 3.397 * [backup-simplify]: Simplify (/ 1 1) into 1 3.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.399 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.399 * [backup-simplify]: Simplify 0 into 0 3.399 * [backup-simplify]: Simplify 0 into 0 3.399 * [backup-simplify]: Simplify 0 into 0 3.399 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.400 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.402 * [backup-simplify]: Simplify (+ 0 0) into 0 3.403 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.404 * [backup-simplify]: Simplify (- 0) into 0 3.405 * [backup-simplify]: Simplify (+ 0 0) into 0 3.405 * [taylor]: Taking taylor expansion of 0 in im 3.405 * [backup-simplify]: Simplify 0 into 0 3.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.408 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.408 * [backup-simplify]: Simplify 0 into 0 3.408 * [backup-simplify]: Simplify 0 into 0 3.408 * [backup-simplify]: Simplify 0 into 0 3.409 * [backup-simplify]: Simplify (exp (log (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 3.409 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 3.409 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 3.409 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.409 * [taylor]: Taking taylor expansion of re in im 3.409 * [backup-simplify]: Simplify re into re 3.409 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.409 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.409 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.409 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.409 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.409 * [taylor]: Taking taylor expansion of im in im 3.409 * [backup-simplify]: Simplify 0 into 0 3.409 * [backup-simplify]: Simplify 1 into 1 3.409 * [backup-simplify]: Simplify (* 1 1) into 1 3.410 * [backup-simplify]: Simplify (/ 1 1) into 1 3.410 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.410 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.410 * [taylor]: Taking taylor expansion of re in im 3.410 * [backup-simplify]: Simplify re into re 3.410 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.410 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.411 * [backup-simplify]: Simplify (+ 1 0) into 1 3.411 * [backup-simplify]: Simplify (sqrt 1) into 1 3.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.413 * [backup-simplify]: Simplify (+ 0 0) into 0 3.413 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.413 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 3.413 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.414 * [taylor]: Taking taylor expansion of re in re 3.414 * [backup-simplify]: Simplify 0 into 0 3.414 * [backup-simplify]: Simplify 1 into 1 3.414 * [backup-simplify]: Simplify (/ 1 1) into 1 3.414 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.414 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.414 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.414 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.414 * [taylor]: Taking taylor expansion of im in re 3.414 * [backup-simplify]: Simplify im into im 3.414 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.414 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.414 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.414 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.415 * [taylor]: Taking taylor expansion of re in re 3.415 * [backup-simplify]: Simplify 0 into 0 3.415 * [backup-simplify]: Simplify 1 into 1 3.415 * [backup-simplify]: Simplify (* 1 1) into 1 3.415 * [backup-simplify]: Simplify (/ 1 1) into 1 3.416 * [backup-simplify]: Simplify (+ 0 1) into 1 3.416 * [backup-simplify]: Simplify (sqrt 1) into 1 3.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.418 * [backup-simplify]: Simplify (+ 0 0) into 0 3.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.419 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 3.419 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.419 * [taylor]: Taking taylor expansion of re in re 3.419 * [backup-simplify]: Simplify 0 into 0 3.419 * [backup-simplify]: Simplify 1 into 1 3.419 * [backup-simplify]: Simplify (/ 1 1) into 1 3.419 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.419 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.419 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.419 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.419 * [taylor]: Taking taylor expansion of im in re 3.419 * [backup-simplify]: Simplify im into im 3.419 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.420 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.420 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.420 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.420 * [taylor]: Taking taylor expansion of re in re 3.420 * [backup-simplify]: Simplify 0 into 0 3.420 * [backup-simplify]: Simplify 1 into 1 3.420 * [backup-simplify]: Simplify (* 1 1) into 1 3.420 * [backup-simplify]: Simplify (/ 1 1) into 1 3.421 * [backup-simplify]: Simplify (+ 0 1) into 1 3.421 * [backup-simplify]: Simplify (sqrt 1) into 1 3.421 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.422 * [backup-simplify]: Simplify (+ 0 0) into 0 3.423 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.423 * [backup-simplify]: Simplify (+ 1 1) into 2 3.423 * [taylor]: Taking taylor expansion of 2 in im 3.423 * [backup-simplify]: Simplify 2 into 2 3.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.424 * [backup-simplify]: Simplify (+ 0 0) into 0 3.424 * [taylor]: Taking taylor expansion of 0 in im 3.424 * [backup-simplify]: Simplify 0 into 0 3.424 * [backup-simplify]: Simplify 2 into 2 3.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.425 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.426 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.426 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 3.426 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 3.426 * [taylor]: Taking taylor expansion of 1/2 in im 3.426 * [backup-simplify]: Simplify 1/2 into 1/2 3.426 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.426 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.426 * [taylor]: Taking taylor expansion of im in im 3.426 * [backup-simplify]: Simplify 0 into 0 3.426 * [backup-simplify]: Simplify 1 into 1 3.427 * [backup-simplify]: Simplify (* 1 1) into 1 3.427 * [backup-simplify]: Simplify (/ 1 1) into 1 3.427 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.428 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.428 * [backup-simplify]: Simplify 0 into 0 3.428 * [backup-simplify]: Simplify 0 into 0 3.428 * [backup-simplify]: Simplify 0 into 0 3.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.429 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.429 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.430 * [backup-simplify]: Simplify (+ 0 0) into 0 3.431 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.431 * [backup-simplify]: Simplify (+ 0 0) into 0 3.431 * [taylor]: Taking taylor expansion of 0 in im 3.431 * [backup-simplify]: Simplify 0 into 0 3.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.433 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.433 * [backup-simplify]: Simplify 0 into 0 3.433 * [backup-simplify]: Simplify 0 into 0 3.433 * [backup-simplify]: Simplify 0 into 0 3.433 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 3.433 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1) 3.433 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 3.433 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 3.433 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 3.433 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 3.433 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.433 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.433 * [taylor]: Taking taylor expansion of re in im 3.433 * [backup-simplify]: Simplify re into re 3.433 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.433 * [taylor]: Taking taylor expansion of im in im 3.433 * [backup-simplify]: Simplify 0 into 0 3.433 * [backup-simplify]: Simplify 1 into 1 3.433 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.433 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 3.434 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.434 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.434 * [backup-simplify]: Simplify (+ 0 0) into 0 3.434 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.434 * [taylor]: Taking taylor expansion of re in im 3.434 * [backup-simplify]: Simplify re into re 3.434 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 3.434 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.434 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.434 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.434 * [taylor]: Taking taylor expansion of re in re 3.434 * [backup-simplify]: Simplify 0 into 0 3.434 * [backup-simplify]: Simplify 1 into 1 3.434 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.434 * [taylor]: Taking taylor expansion of im in re 3.434 * [backup-simplify]: Simplify im into im 3.434 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.434 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.435 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.435 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.435 * [backup-simplify]: Simplify (+ 0 0) into 0 3.435 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.435 * [taylor]: Taking taylor expansion of re in re 3.435 * [backup-simplify]: Simplify 0 into 0 3.435 * [backup-simplify]: Simplify 1 into 1 3.435 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 3.435 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.435 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.435 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.435 * [taylor]: Taking taylor expansion of re in re 3.435 * [backup-simplify]: Simplify 0 into 0 3.435 * [backup-simplify]: Simplify 1 into 1 3.435 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.435 * [taylor]: Taking taylor expansion of im in re 3.435 * [backup-simplify]: Simplify im into im 3.435 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.435 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.436 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.436 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.436 * [backup-simplify]: Simplify (+ 0 0) into 0 3.436 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.436 * [taylor]: Taking taylor expansion of re in re 3.436 * [backup-simplify]: Simplify 0 into 0 3.436 * [backup-simplify]: Simplify 1 into 1 3.436 * [backup-simplify]: Simplify (- 0) into 0 3.436 * [backup-simplify]: Simplify (+ im 0) into im 3.437 * [taylor]: Taking taylor expansion of im in im 3.437 * [backup-simplify]: Simplify 0 into 0 3.437 * [backup-simplify]: Simplify 1 into 1 3.437 * [backup-simplify]: Simplify 0 into 0 3.437 * [backup-simplify]: Simplify (- 1) into -1 3.437 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.437 * [taylor]: Taking taylor expansion of -1 in im 3.437 * [backup-simplify]: Simplify -1 into -1 3.437 * [backup-simplify]: Simplify -1 into -1 3.437 * [backup-simplify]: Simplify 1 into 1 3.437 * [backup-simplify]: Simplify (* 1 1) into 1 3.438 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.438 * [backup-simplify]: Simplify (+ 1 0) into 1 3.439 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.439 * [backup-simplify]: Simplify (- 0) into 0 3.439 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 3.439 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 3.439 * [taylor]: Taking taylor expansion of 1/2 in im 3.439 * [backup-simplify]: Simplify 1/2 into 1/2 3.439 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.439 * [taylor]: Taking taylor expansion of im in im 3.439 * [backup-simplify]: Simplify 0 into 0 3.439 * [backup-simplify]: Simplify 1 into 1 3.440 * [backup-simplify]: Simplify (/ 1 1) into 1 3.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.441 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.441 * [backup-simplify]: Simplify 0 into 0 3.441 * [backup-simplify]: Simplify 0 into 0 3.441 * [backup-simplify]: Simplify 0 into 0 3.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.442 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.442 * [backup-simplify]: Simplify (+ 0 0) into 0 3.442 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.442 * [backup-simplify]: Simplify (- 0) into 0 3.442 * [backup-simplify]: Simplify (+ 0 0) into 0 3.442 * [taylor]: Taking taylor expansion of 0 in im 3.442 * [backup-simplify]: Simplify 0 into 0 3.442 * [backup-simplify]: Simplify 0 into 0 3.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.444 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.444 * [backup-simplify]: Simplify 0 into 0 3.444 * [backup-simplify]: Simplify 0 into 0 3.444 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 3.444 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 3.444 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 3.444 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 3.444 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.444 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.444 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.444 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.444 * [taylor]: Taking taylor expansion of im in im 3.444 * [backup-simplify]: Simplify 0 into 0 3.444 * [backup-simplify]: Simplify 1 into 1 3.444 * [backup-simplify]: Simplify (* 1 1) into 1 3.445 * [backup-simplify]: Simplify (/ 1 1) into 1 3.445 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.445 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.445 * [taylor]: Taking taylor expansion of re in im 3.445 * [backup-simplify]: Simplify re into re 3.445 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.445 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.445 * [backup-simplify]: Simplify (+ 1 0) into 1 3.445 * [backup-simplify]: Simplify (sqrt 1) into 1 3.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.446 * [backup-simplify]: Simplify (+ 0 0) into 0 3.447 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.447 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.447 * [taylor]: Taking taylor expansion of re in im 3.447 * [backup-simplify]: Simplify re into re 3.447 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.447 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 3.447 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.447 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.447 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.447 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.447 * [taylor]: Taking taylor expansion of im in re 3.447 * [backup-simplify]: Simplify im into im 3.447 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.447 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.447 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.447 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.447 * [taylor]: Taking taylor expansion of re in re 3.447 * [backup-simplify]: Simplify 0 into 0 3.447 * [backup-simplify]: Simplify 1 into 1 3.448 * [backup-simplify]: Simplify (* 1 1) into 1 3.448 * [backup-simplify]: Simplify (/ 1 1) into 1 3.448 * [backup-simplify]: Simplify (+ 0 1) into 1 3.448 * [backup-simplify]: Simplify (sqrt 1) into 1 3.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.449 * [backup-simplify]: Simplify (+ 0 0) into 0 3.450 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.450 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.450 * [taylor]: Taking taylor expansion of re in re 3.450 * [backup-simplify]: Simplify 0 into 0 3.450 * [backup-simplify]: Simplify 1 into 1 3.450 * [backup-simplify]: Simplify (/ 1 1) into 1 3.450 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 3.450 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.450 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.450 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.450 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.450 * [taylor]: Taking taylor expansion of im in re 3.450 * [backup-simplify]: Simplify im into im 3.450 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.450 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.450 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.451 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.451 * [taylor]: Taking taylor expansion of re in re 3.451 * [backup-simplify]: Simplify 0 into 0 3.451 * [backup-simplify]: Simplify 1 into 1 3.451 * [backup-simplify]: Simplify (* 1 1) into 1 3.451 * [backup-simplify]: Simplify (/ 1 1) into 1 3.451 * [backup-simplify]: Simplify (+ 0 1) into 1 3.452 * [backup-simplify]: Simplify (sqrt 1) into 1 3.452 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.453 * [backup-simplify]: Simplify (+ 0 0) into 0 3.453 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.453 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.453 * [taylor]: Taking taylor expansion of re in re 3.453 * [backup-simplify]: Simplify 0 into 0 3.453 * [backup-simplify]: Simplify 1 into 1 3.453 * [backup-simplify]: Simplify (/ 1 1) into 1 3.454 * [backup-simplify]: Simplify (- 1) into -1 3.454 * [backup-simplify]: Simplify (+ 1 -1) into 0 3.454 * [taylor]: Taking taylor expansion of 0 in im 3.454 * [backup-simplify]: Simplify 0 into 0 3.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.455 * [backup-simplify]: Simplify (- 0) into 0 3.455 * [backup-simplify]: Simplify (+ 0 0) into 0 3.455 * [taylor]: Taking taylor expansion of 0 in im 3.455 * [backup-simplify]: Simplify 0 into 0 3.455 * [backup-simplify]: Simplify 0 into 0 3.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.456 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.457 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.458 * [backup-simplify]: Simplify (- 0) into 0 3.458 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 3.458 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 3.458 * [taylor]: Taking taylor expansion of 1/2 in im 3.458 * [backup-simplify]: Simplify 1/2 into 1/2 3.458 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.458 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.458 * [taylor]: Taking taylor expansion of im in im 3.458 * [backup-simplify]: Simplify 0 into 0 3.458 * [backup-simplify]: Simplify 1 into 1 3.458 * [backup-simplify]: Simplify (* 1 1) into 1 3.458 * [backup-simplify]: Simplify (/ 1 1) into 1 3.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.460 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.460 * [backup-simplify]: Simplify 0 into 0 3.460 * [backup-simplify]: Simplify 0 into 0 3.460 * [backup-simplify]: Simplify 0 into 0 3.460 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.460 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.462 * [backup-simplify]: Simplify (+ 0 0) into 0 3.463 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.464 * [backup-simplify]: Simplify (- 0) into 0 3.464 * [backup-simplify]: Simplify (+ 0 0) into 0 3.465 * [taylor]: Taking taylor expansion of 0 in im 3.465 * [backup-simplify]: Simplify 0 into 0 3.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.467 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.467 * [backup-simplify]: Simplify 0 into 0 3.467 * [backup-simplify]: Simplify 0 into 0 3.467 * [backup-simplify]: Simplify 0 into 0 3.468 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 3.468 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 3.468 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 3.468 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.468 * [taylor]: Taking taylor expansion of re in im 3.468 * [backup-simplify]: Simplify re into re 3.468 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.468 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.468 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.468 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.468 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.468 * [taylor]: Taking taylor expansion of im in im 3.468 * [backup-simplify]: Simplify 0 into 0 3.468 * [backup-simplify]: Simplify 1 into 1 3.469 * [backup-simplify]: Simplify (* 1 1) into 1 3.469 * [backup-simplify]: Simplify (/ 1 1) into 1 3.469 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.469 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.469 * [taylor]: Taking taylor expansion of re in im 3.469 * [backup-simplify]: Simplify re into re 3.469 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.470 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.470 * [backup-simplify]: Simplify (+ 1 0) into 1 3.470 * [backup-simplify]: Simplify (sqrt 1) into 1 3.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.472 * [backup-simplify]: Simplify (+ 0 0) into 0 3.473 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.473 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 3.473 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.473 * [taylor]: Taking taylor expansion of re in re 3.473 * [backup-simplify]: Simplify 0 into 0 3.473 * [backup-simplify]: Simplify 1 into 1 3.473 * [backup-simplify]: Simplify (/ 1 1) into 1 3.474 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.474 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.474 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.474 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.474 * [taylor]: Taking taylor expansion of im in re 3.474 * [backup-simplify]: Simplify im into im 3.474 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.474 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.474 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.474 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.474 * [taylor]: Taking taylor expansion of re in re 3.474 * [backup-simplify]: Simplify 0 into 0 3.474 * [backup-simplify]: Simplify 1 into 1 3.475 * [backup-simplify]: Simplify (* 1 1) into 1 3.475 * [backup-simplify]: Simplify (/ 1 1) into 1 3.475 * [backup-simplify]: Simplify (+ 0 1) into 1 3.476 * [backup-simplify]: Simplify (sqrt 1) into 1 3.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.477 * [backup-simplify]: Simplify (+ 0 0) into 0 3.478 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.478 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 3.478 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.478 * [taylor]: Taking taylor expansion of re in re 3.478 * [backup-simplify]: Simplify 0 into 0 3.478 * [backup-simplify]: Simplify 1 into 1 3.479 * [backup-simplify]: Simplify (/ 1 1) into 1 3.479 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.479 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.479 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.479 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.479 * [taylor]: Taking taylor expansion of im in re 3.479 * [backup-simplify]: Simplify im into im 3.479 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.480 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.480 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.480 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.480 * [taylor]: Taking taylor expansion of re in re 3.480 * [backup-simplify]: Simplify 0 into 0 3.480 * [backup-simplify]: Simplify 1 into 1 3.480 * [backup-simplify]: Simplify (* 1 1) into 1 3.480 * [backup-simplify]: Simplify (/ 1 1) into 1 3.481 * [backup-simplify]: Simplify (+ 0 1) into 1 3.481 * [backup-simplify]: Simplify (sqrt 1) into 1 3.482 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.483 * [backup-simplify]: Simplify (+ 0 0) into 0 3.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.484 * [backup-simplify]: Simplify (+ 1 1) into 2 3.484 * [taylor]: Taking taylor expansion of 2 in im 3.484 * [backup-simplify]: Simplify 2 into 2 3.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.486 * [backup-simplify]: Simplify (+ 0 0) into 0 3.486 * [taylor]: Taking taylor expansion of 0 in im 3.486 * [backup-simplify]: Simplify 0 into 0 3.486 * [backup-simplify]: Simplify 2 into 2 3.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.489 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.490 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.490 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 3.490 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 3.490 * [taylor]: Taking taylor expansion of 1/2 in im 3.490 * [backup-simplify]: Simplify 1/2 into 1/2 3.490 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.490 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.490 * [taylor]: Taking taylor expansion of im in im 3.491 * [backup-simplify]: Simplify 0 into 0 3.491 * [backup-simplify]: Simplify 1 into 1 3.491 * [backup-simplify]: Simplify (* 1 1) into 1 3.491 * [backup-simplify]: Simplify (/ 1 1) into 1 3.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.493 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.494 * [backup-simplify]: Simplify 0 into 0 3.494 * [backup-simplify]: Simplify 0 into 0 3.494 * [backup-simplify]: Simplify 0 into 0 3.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.495 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.495 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.497 * [backup-simplify]: Simplify (+ 0 0) into 0 3.498 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.499 * [backup-simplify]: Simplify (+ 0 0) into 0 3.499 * [taylor]: Taking taylor expansion of 0 in im 3.499 * [backup-simplify]: Simplify 0 into 0 3.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.502 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.502 * [backup-simplify]: Simplify 0 into 0 3.502 * [backup-simplify]: Simplify 0 into 0 3.502 * [backup-simplify]: Simplify 0 into 0 3.502 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 3.502 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1 1 1) 3.503 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2)) 3.503 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 3.503 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.503 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.503 * [taylor]: Taking taylor expansion of re in im 3.503 * [backup-simplify]: Simplify re into re 3.503 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.503 * [taylor]: Taking taylor expansion of im in im 3.503 * [backup-simplify]: Simplify 0 into 0 3.503 * [backup-simplify]: Simplify 1 into 1 3.503 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.503 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.503 * [taylor]: Taking taylor expansion of re in re 3.503 * [backup-simplify]: Simplify 0 into 0 3.503 * [backup-simplify]: Simplify 1 into 1 3.503 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.503 * [taylor]: Taking taylor expansion of im in re 3.503 * [backup-simplify]: Simplify im into im 3.503 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.503 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.503 * [taylor]: Taking taylor expansion of re in re 3.503 * [backup-simplify]: Simplify 0 into 0 3.503 * [backup-simplify]: Simplify 1 into 1 3.503 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.503 * [taylor]: Taking taylor expansion of im in re 3.503 * [backup-simplify]: Simplify im into im 3.504 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.504 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.504 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.504 * [taylor]: Taking taylor expansion of im in im 3.504 * [backup-simplify]: Simplify 0 into 0 3.504 * [backup-simplify]: Simplify 1 into 1 3.504 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.504 * [backup-simplify]: Simplify (+ 0 0) into 0 3.504 * [taylor]: Taking taylor expansion of 0 in im 3.504 * [backup-simplify]: Simplify 0 into 0 3.504 * [backup-simplify]: Simplify 0 into 0 3.505 * [backup-simplify]: Simplify (* 1 1) into 1 3.506 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.506 * [backup-simplify]: Simplify (+ 1 0) into 1 3.506 * [taylor]: Taking taylor expansion of 1 in im 3.506 * [backup-simplify]: Simplify 1 into 1 3.506 * [backup-simplify]: Simplify 1 into 1 3.506 * [backup-simplify]: Simplify 0 into 0 3.507 * [backup-simplify]: Simplify (* 1 1) into 1 3.507 * [backup-simplify]: Simplify 1 into 1 3.507 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.508 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.511 * [backup-simplify]: Simplify (+ 0 0) into 0 3.511 * [taylor]: Taking taylor expansion of 0 in im 3.511 * [backup-simplify]: Simplify 0 into 0 3.511 * [backup-simplify]: Simplify 0 into 0 3.511 * [backup-simplify]: Simplify 0 into 0 3.511 * [backup-simplify]: Simplify 0 into 0 3.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.512 * [backup-simplify]: Simplify 0 into 0 3.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.513 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 3.513 * [backup-simplify]: Simplify (+ 0 0) into 0 3.513 * [taylor]: Taking taylor expansion of 0 in im 3.513 * [backup-simplify]: Simplify 0 into 0 3.514 * [backup-simplify]: Simplify 0 into 0 3.514 * [backup-simplify]: Simplify 0 into 0 3.514 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2)) 3.514 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 3.514 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 3.514 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.514 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.514 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.514 * [taylor]: Taking taylor expansion of im in im 3.514 * [backup-simplify]: Simplify 0 into 0 3.514 * [backup-simplify]: Simplify 1 into 1 3.514 * [backup-simplify]: Simplify (* 1 1) into 1 3.515 * [backup-simplify]: Simplify (/ 1 1) into 1 3.515 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.515 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.515 * [taylor]: Taking taylor expansion of re in im 3.515 * [backup-simplify]: Simplify re into re 3.515 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.515 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.515 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.515 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.515 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.515 * [taylor]: Taking taylor expansion of im in re 3.515 * [backup-simplify]: Simplify im into im 3.515 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.515 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.515 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.515 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.515 * [taylor]: Taking taylor expansion of re in re 3.515 * [backup-simplify]: Simplify 0 into 0 3.515 * [backup-simplify]: Simplify 1 into 1 3.515 * [backup-simplify]: Simplify (* 1 1) into 1 3.516 * [backup-simplify]: Simplify (/ 1 1) into 1 3.516 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.516 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.516 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.516 * [taylor]: Taking taylor expansion of im in re 3.516 * [backup-simplify]: Simplify im into im 3.516 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.516 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.516 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.516 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.516 * [taylor]: Taking taylor expansion of re in re 3.516 * [backup-simplify]: Simplify 0 into 0 3.516 * [backup-simplify]: Simplify 1 into 1 3.516 * [backup-simplify]: Simplify (* 1 1) into 1 3.517 * [backup-simplify]: Simplify (/ 1 1) into 1 3.517 * [backup-simplify]: Simplify (+ 0 1) into 1 3.517 * [taylor]: Taking taylor expansion of 1 in im 3.517 * [backup-simplify]: Simplify 1 into 1 3.517 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.518 * [backup-simplify]: Simplify (+ 0 0) into 0 3.518 * [taylor]: Taking taylor expansion of 0 in im 3.518 * [backup-simplify]: Simplify 0 into 0 3.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.519 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.519 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.519 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.519 * [taylor]: Taking taylor expansion of im in im 3.519 * [backup-simplify]: Simplify 0 into 0 3.519 * [backup-simplify]: Simplify 1 into 1 3.520 * [backup-simplify]: Simplify (* 1 1) into 1 3.520 * [backup-simplify]: Simplify (/ 1 1) into 1 3.520 * [backup-simplify]: Simplify 1 into 1 3.520 * [backup-simplify]: Simplify 1 into 1 3.520 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.520 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.522 * [backup-simplify]: Simplify (+ 0 0) into 0 3.522 * [taylor]: Taking taylor expansion of 0 in im 3.522 * [backup-simplify]: Simplify 0 into 0 3.522 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.522 * [backup-simplify]: Simplify 0 into 0 3.522 * [backup-simplify]: Simplify 0 into 0 3.522 * [backup-simplify]: Simplify 0 into 0 3.523 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.523 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 3.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.524 * [backup-simplify]: Simplify (+ 0 0) into 0 3.524 * [taylor]: Taking taylor expansion of 0 in im 3.524 * [backup-simplify]: Simplify 0 into 0 3.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.526 * [backup-simplify]: Simplify 0 into 0 3.526 * [backup-simplify]: Simplify 0 into 0 3.526 * [backup-simplify]: Simplify 0 into 0 3.526 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2)) 3.526 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 3.526 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 3.526 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.526 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.526 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.526 * [taylor]: Taking taylor expansion of im in im 3.526 * [backup-simplify]: Simplify 0 into 0 3.526 * [backup-simplify]: Simplify 1 into 1 3.526 * [backup-simplify]: Simplify (* 1 1) into 1 3.527 * [backup-simplify]: Simplify (/ 1 1) into 1 3.527 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.527 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.527 * [taylor]: Taking taylor expansion of re in im 3.527 * [backup-simplify]: Simplify re into re 3.527 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.527 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.527 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.527 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.527 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.527 * [taylor]: Taking taylor expansion of im in re 3.527 * [backup-simplify]: Simplify im into im 3.527 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.527 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.527 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.527 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.527 * [taylor]: Taking taylor expansion of re in re 3.527 * [backup-simplify]: Simplify 0 into 0 3.527 * [backup-simplify]: Simplify 1 into 1 3.527 * [backup-simplify]: Simplify (* 1 1) into 1 3.528 * [backup-simplify]: Simplify (/ 1 1) into 1 3.528 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.528 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.528 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.528 * [taylor]: Taking taylor expansion of im in re 3.528 * [backup-simplify]: Simplify im into im 3.528 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.528 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.528 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.528 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.528 * [taylor]: Taking taylor expansion of re in re 3.528 * [backup-simplify]: Simplify 0 into 0 3.528 * [backup-simplify]: Simplify 1 into 1 3.528 * [backup-simplify]: Simplify (* 1 1) into 1 3.528 * [backup-simplify]: Simplify (/ 1 1) into 1 3.529 * [backup-simplify]: Simplify (+ 0 1) into 1 3.529 * [taylor]: Taking taylor expansion of 1 in im 3.529 * [backup-simplify]: Simplify 1 into 1 3.529 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.530 * [backup-simplify]: Simplify (+ 0 0) into 0 3.530 * [taylor]: Taking taylor expansion of 0 in im 3.530 * [backup-simplify]: Simplify 0 into 0 3.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.531 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.531 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.531 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.531 * [taylor]: Taking taylor expansion of im in im 3.531 * [backup-simplify]: Simplify 0 into 0 3.531 * [backup-simplify]: Simplify 1 into 1 3.531 * [backup-simplify]: Simplify (* 1 1) into 1 3.532 * [backup-simplify]: Simplify (/ 1 1) into 1 3.532 * [backup-simplify]: Simplify 1 into 1 3.532 * [backup-simplify]: Simplify 1 into 1 3.532 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.532 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.533 * [backup-simplify]: Simplify (+ 0 0) into 0 3.533 * [taylor]: Taking taylor expansion of 0 in im 3.533 * [backup-simplify]: Simplify 0 into 0 3.534 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.534 * [backup-simplify]: Simplify 0 into 0 3.534 * [backup-simplify]: Simplify 0 into 0 3.534 * [backup-simplify]: Simplify 0 into 0 3.535 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.535 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 3.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.536 * [backup-simplify]: Simplify (+ 0 0) into 0 3.536 * [taylor]: Taking taylor expansion of 0 in im 3.536 * [backup-simplify]: Simplify 0 into 0 3.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.537 * [backup-simplify]: Simplify 0 into 0 3.537 * [backup-simplify]: Simplify 0 into 0 3.537 * [backup-simplify]: Simplify 0 into 0 3.538 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2)) 3.538 * * * [progress]: simplifying candidates 3.539 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (exp 1) (exp (* (cbrt (log (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (log (- (sqrt (+ (* re re) (* im im))) re))))) (exp (sqrt (log (- (sqrt (+ (* re re) (* im im))) re)))) (exp 1) (exp (log (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))) (exp (log (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (exp (log (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (exp (log (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (exp (log 1)) (exp (log (- (sqrt (+ (* re re) (* im im))) re))) (exp (log (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (exp (log (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (exp (log (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (exp (log (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (exp (log 1)) (exp (log (- (sqrt (+ (* re re) (* im im))) re))) (exp (log (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (exp (log (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))))) (exp (log (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (exp (log (+ (sqrt (+ (* re re) (* im im))) re))) (log (exp (log (- (sqrt (+ (* re re) (* im im))) re)))) (exp (exp (log (- (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (exp (log (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (exp (log (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (exp (log (- (sqrt (+ (* re re) (* im im))) re)))) (* (* (exp (log (- (sqrt (+ (* re re) (* im im))) re))) (exp (log (- (sqrt (+ (* re re) (* im im))) re)))) (exp (log (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (exp (log (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (exp (log (- (sqrt (+ (* re re) (* im im))) re)))) (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- re) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (- re) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) im re (* -1 re) (- im re) 0 (* -2 re) (- im re) 0 (* -2 re) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 3.540 * * [simplify]: Extracting # 0 : cost 0 3.540 * * [simplify]: Extracting # 1 : cost 0 3.541 * * [simplify]: Extracting # 2 : cost 0 3.541 * * [simplify]: Extracting # 3 : cost 0 3.541 * * [simplify]: Extracting # 4 : cost 0 3.541 * * [simplify]: Extracting # 5 : cost 0 3.541 * * [simplify]: Extracting # 6 : cost 0 3.541 * * [simplify]: iteration 0 : 108 enodes (cost 1062 ) 3.569 * * [simplify]: Extracting # 0 : cost 0 3.570 * * [simplify]: Extracting # 1 : cost 0 3.570 * * [simplify]: Extracting # 2 : cost 0 3.570 * * [simplify]: Extracting # 3 : cost 0 3.571 * * [simplify]: Extracting # 4 : cost 0 3.571 * * [simplify]: iteration 1 : 209 enodes (cost 917 ) 3.666 * * [simplify]: Extracting # 0 : cost 0 3.667 * * [simplify]: Extracting # 1 : cost 0 3.669 * * [simplify]: Extracting # 2 : cost 0 3.670 * * [simplify]: Extracting # 3 : cost 0 3.671 * * [simplify]: Extracting # 4 : cost 0 3.672 * * [simplify]: iteration 2 : 504 enodes (cost 815 ) 3.870 * * [simplify]: Extracting # 0 : cost 0 3.872 * * [simplify]: Extracting # 1 : cost 0 3.873 * * [simplify]: Extracting # 2 : cost 0 3.874 * * [simplify]: Extracting # 3 : cost 0 3.876 * * [simplify]: Extracting # 4 : cost 0 3.877 * * [simplify]: iteration 3 : 1320 enodes (cost 799 ) 5.087 * * [simplify]: Extracting # 0 : cost 0 5.096 * * [simplify]: Extracting # 1 : cost 0 5.103 * * [simplify]: Extracting # 2 : cost 0 5.109 * * [simplify]: Extracting # 3 : cost 0 5.115 * * [simplify]: Extracting # 4 : cost 0 5.122 * * [simplify]: iteration 4 : 3761 enodes (cost 789 ) 6.828 * * [simplify]: Extracting # 0 : cost 0 6.832 * * [simplify]: Extracting # 1 : cost 0 6.841 * * [simplify]: Extracting # 2 : cost 0 6.850 * * [simplify]: Extracting # 3 : cost 0 6.867 * * [simplify]: Extracting # 4 : cost 0 6.876 * * [simplify]: iteration done: 5000 enodes (cost 789 ) 6.877 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) E (exp (* (cbrt (log (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (log (- (sqrt (+ (* re re) (* im im))) re))))) (exp (sqrt (log (- (sqrt (+ (* re re) (* im im))) re)))) E (pow (cbrt (- (sqrt (+ (* re re) (* im im))) re)) 2) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 1 (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 1 (- (sqrt (+ (* re re) (* im im))) re) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* im im) (* re (+ re (+ (sqrt (+ (* re re) (* im im))) re)))) (* im im) (+ (sqrt (+ (* re re) (* im im))) re) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (pow (cbrt (- (sqrt (+ (* re re) (* im im))) re)) 2) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (pow (- (sqrt (+ (* re re) (* im im))) re) 3) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (pow (cbrt (- (sqrt (+ (* re re) (* im im))) re)) 2) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (pow (- (sqrt (+ (* re re) (* im im))) re) 3) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* im im) (* re (+ re (+ (sqrt (+ (* re re) (* im im))) re)))) (- re) (* im im) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (- re) (exp (+ (* re re) (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (pow (+ (* re re) (* im im)) 3) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow im 6) (pow re 6)) (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)) (- (pow re 4) (pow im 4)) (- (* re re) (* im im)) im re (- re) (- im re) 0 (* -2 re) (- im re) 0 (* -2 re) (+ (* re re) (* im im)) (+ (* re re) (* im im)) (+ (* re re) (* im im)) 6.878 * * * [progress]: adding candidates to table 7.189 * * [progress]: iteration 3 / 4 7.189 * * * [progress]: picking best candidate 7.202 * * * * [pick]: Picked # 7.202 * * * [progress]: localizing error 7.227 * * * [progress]: generating rewritten candidates 7.227 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1) 7.245 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 7.269 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 7.341 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 7.432 * * * [progress]: generating series expansions 7.432 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1) 7.432 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 7.432 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 7.432 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 7.432 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 7.432 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.432 * [taylor]: Taking taylor expansion of re in im 7.432 * [backup-simplify]: Simplify re into re 7.432 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.432 * [taylor]: Taking taylor expansion of im in im 7.432 * [backup-simplify]: Simplify 0 into 0 7.432 * [backup-simplify]: Simplify 1 into 1 7.432 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.432 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 7.432 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 7.433 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 7.433 * [backup-simplify]: Simplify (+ 0 0) into 0 7.433 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 7.433 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 7.433 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 7.433 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.433 * [taylor]: Taking taylor expansion of re in re 7.433 * [backup-simplify]: Simplify 0 into 0 7.433 * [backup-simplify]: Simplify 1 into 1 7.433 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.433 * [taylor]: Taking taylor expansion of im in re 7.433 * [backup-simplify]: Simplify im into im 7.433 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.433 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 7.434 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.434 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.434 * [backup-simplify]: Simplify (+ 0 0) into 0 7.434 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.434 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 7.434 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 7.434 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.434 * [taylor]: Taking taylor expansion of re in re 7.434 * [backup-simplify]: Simplify 0 into 0 7.434 * [backup-simplify]: Simplify 1 into 1 7.434 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.434 * [taylor]: Taking taylor expansion of im in re 7.434 * [backup-simplify]: Simplify im into im 7.434 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.434 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 7.434 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.434 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.435 * [backup-simplify]: Simplify (+ 0 0) into 0 7.435 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.435 * [taylor]: Taking taylor expansion of im in im 7.435 * [backup-simplify]: Simplify 0 into 0 7.435 * [backup-simplify]: Simplify 1 into 1 7.435 * [backup-simplify]: Simplify 0 into 0 7.435 * [taylor]: Taking taylor expansion of 0 in im 7.435 * [backup-simplify]: Simplify 0 into 0 7.435 * [backup-simplify]: Simplify 0 into 0 7.435 * [backup-simplify]: Simplify 1 into 1 7.435 * [backup-simplify]: Simplify (* 1 1) into 1 7.435 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 7.436 * [backup-simplify]: Simplify (+ 1 0) into 1 7.436 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 7.436 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 7.436 * [taylor]: Taking taylor expansion of 1/2 in im 7.436 * [backup-simplify]: Simplify 1/2 into 1/2 7.436 * [taylor]: Taking taylor expansion of im in im 7.436 * [backup-simplify]: Simplify 0 into 0 7.436 * [backup-simplify]: Simplify 1 into 1 7.437 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.437 * [backup-simplify]: Simplify 0 into 0 7.437 * [backup-simplify]: Simplify 0 into 0 7.437 * [backup-simplify]: Simplify 0 into 0 7.438 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.438 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 7.438 * [backup-simplify]: Simplify (+ 0 0) into 0 7.438 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 7.438 * [taylor]: Taking taylor expansion of 0 in im 7.438 * [backup-simplify]: Simplify 0 into 0 7.439 * [backup-simplify]: Simplify 0 into 0 7.439 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.439 * [backup-simplify]: Simplify 0 into 0 7.439 * [backup-simplify]: Simplify 0 into 0 7.439 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 7.439 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 7.439 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 7.440 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 7.440 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 7.440 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.440 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.440 * [taylor]: Taking taylor expansion of im in im 7.440 * [backup-simplify]: Simplify 0 into 0 7.440 * [backup-simplify]: Simplify 1 into 1 7.440 * [backup-simplify]: Simplify (* 1 1) into 1 7.440 * [backup-simplify]: Simplify (/ 1 1) into 1 7.440 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.440 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.440 * [taylor]: Taking taylor expansion of re in im 7.440 * [backup-simplify]: Simplify re into re 7.440 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.440 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.441 * [backup-simplify]: Simplify (+ 1 0) into 1 7.441 * [backup-simplify]: Simplify (sqrt 1) into 1 7.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.442 * [backup-simplify]: Simplify (+ 0 0) into 0 7.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.442 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.442 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.442 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.442 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.442 * [taylor]: Taking taylor expansion of im in re 7.442 * [backup-simplify]: Simplify im into im 7.443 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.443 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.443 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.443 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.443 * [taylor]: Taking taylor expansion of re in re 7.443 * [backup-simplify]: Simplify 0 into 0 7.443 * [backup-simplify]: Simplify 1 into 1 7.443 * [backup-simplify]: Simplify (* 1 1) into 1 7.443 * [backup-simplify]: Simplify (/ 1 1) into 1 7.443 * [backup-simplify]: Simplify (+ 0 1) into 1 7.444 * [backup-simplify]: Simplify (sqrt 1) into 1 7.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.445 * [backup-simplify]: Simplify (+ 0 0) into 0 7.445 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.445 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.445 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.445 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.445 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.445 * [taylor]: Taking taylor expansion of im in re 7.445 * [backup-simplify]: Simplify im into im 7.445 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.445 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.445 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.446 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.446 * [taylor]: Taking taylor expansion of re in re 7.446 * [backup-simplify]: Simplify 0 into 0 7.446 * [backup-simplify]: Simplify 1 into 1 7.446 * [backup-simplify]: Simplify (* 1 1) into 1 7.446 * [backup-simplify]: Simplify (/ 1 1) into 1 7.446 * [backup-simplify]: Simplify (+ 0 1) into 1 7.447 * [backup-simplify]: Simplify (sqrt 1) into 1 7.447 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.447 * [backup-simplify]: Simplify (+ 0 0) into 0 7.448 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.448 * [taylor]: Taking taylor expansion of 1 in im 7.448 * [backup-simplify]: Simplify 1 into 1 7.448 * [taylor]: Taking taylor expansion of 0 in im 7.448 * [backup-simplify]: Simplify 0 into 0 7.448 * [backup-simplify]: Simplify 1 into 1 7.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.449 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 7.450 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.450 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 7.450 * [taylor]: Taking taylor expansion of 1/2 in im 7.450 * [backup-simplify]: Simplify 1/2 into 1/2 7.450 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.450 * [taylor]: Taking taylor expansion of im in im 7.450 * [backup-simplify]: Simplify 0 into 0 7.450 * [backup-simplify]: Simplify 1 into 1 7.450 * [backup-simplify]: Simplify (* 1 1) into 1 7.451 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.451 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.451 * [backup-simplify]: Simplify 0 into 0 7.452 * [backup-simplify]: Simplify 0 into 0 7.452 * [backup-simplify]: Simplify 0 into 0 7.452 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.452 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 7.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.453 * [backup-simplify]: Simplify (+ 0 0) into 0 7.454 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.454 * [taylor]: Taking taylor expansion of 0 in im 7.454 * [backup-simplify]: Simplify 0 into 0 7.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.455 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.455 * [backup-simplify]: Simplify 0 into 0 7.455 * [backup-simplify]: Simplify 0 into 0 7.455 * [backup-simplify]: Simplify 0 into 0 7.455 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 7.455 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 7.455 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 7.455 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 7.455 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 7.455 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.455 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.455 * [taylor]: Taking taylor expansion of im in im 7.455 * [backup-simplify]: Simplify 0 into 0 7.455 * [backup-simplify]: Simplify 1 into 1 7.456 * [backup-simplify]: Simplify (* 1 1) into 1 7.456 * [backup-simplify]: Simplify (/ 1 1) into 1 7.456 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.456 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.456 * [taylor]: Taking taylor expansion of re in im 7.456 * [backup-simplify]: Simplify re into re 7.456 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.456 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.456 * [backup-simplify]: Simplify (+ 1 0) into 1 7.457 * [backup-simplify]: Simplify (sqrt 1) into 1 7.457 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.458 * [backup-simplify]: Simplify (+ 0 0) into 0 7.458 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.458 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.458 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.458 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.458 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.458 * [taylor]: Taking taylor expansion of im in re 7.458 * [backup-simplify]: Simplify im into im 7.458 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.458 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.458 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.458 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.458 * [taylor]: Taking taylor expansion of re in re 7.458 * [backup-simplify]: Simplify 0 into 0 7.458 * [backup-simplify]: Simplify 1 into 1 7.459 * [backup-simplify]: Simplify (* 1 1) into 1 7.459 * [backup-simplify]: Simplify (/ 1 1) into 1 7.459 * [backup-simplify]: Simplify (+ 0 1) into 1 7.459 * [backup-simplify]: Simplify (sqrt 1) into 1 7.460 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.460 * [backup-simplify]: Simplify (+ 0 0) into 0 7.461 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.461 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.461 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.461 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.461 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.461 * [taylor]: Taking taylor expansion of im in re 7.461 * [backup-simplify]: Simplify im into im 7.461 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.461 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.461 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.461 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.461 * [taylor]: Taking taylor expansion of re in re 7.461 * [backup-simplify]: Simplify 0 into 0 7.461 * [backup-simplify]: Simplify 1 into 1 7.462 * [backup-simplify]: Simplify (* 1 1) into 1 7.462 * [backup-simplify]: Simplify (/ 1 1) into 1 7.462 * [backup-simplify]: Simplify (+ 0 1) into 1 7.462 * [backup-simplify]: Simplify (sqrt 1) into 1 7.463 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.463 * [backup-simplify]: Simplify (+ 0 0) into 0 7.464 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.464 * [taylor]: Taking taylor expansion of 1 in im 7.464 * [backup-simplify]: Simplify 1 into 1 7.464 * [taylor]: Taking taylor expansion of 0 in im 7.464 * [backup-simplify]: Simplify 0 into 0 7.464 * [backup-simplify]: Simplify 1 into 1 7.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.465 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 7.466 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.466 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 7.466 * [taylor]: Taking taylor expansion of 1/2 in im 7.466 * [backup-simplify]: Simplify 1/2 into 1/2 7.466 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.466 * [taylor]: Taking taylor expansion of im in im 7.466 * [backup-simplify]: Simplify 0 into 0 7.466 * [backup-simplify]: Simplify 1 into 1 7.466 * [backup-simplify]: Simplify (* 1 1) into 1 7.466 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.467 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.467 * [backup-simplify]: Simplify 0 into 0 7.467 * [backup-simplify]: Simplify 0 into 0 7.467 * [backup-simplify]: Simplify 0 into 0 7.467 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.468 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 7.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.469 * [backup-simplify]: Simplify (+ 0 0) into 0 7.469 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.469 * [taylor]: Taking taylor expansion of 0 in im 7.469 * [backup-simplify]: Simplify 0 into 0 7.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.470 * [backup-simplify]: Simplify 0 into 0 7.470 * [backup-simplify]: Simplify 0 into 0 7.471 * [backup-simplify]: Simplify 0 into 0 7.471 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 7.471 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 7.471 * [backup-simplify]: Simplify (sqrt (* 2.0 (* im im))) into (* (sqrt 2.0) im) 7.471 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) im) in (im) around 0 7.471 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 7.471 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.471 * [taylor]: Taking taylor expansion of 2.0 in im 7.471 * [backup-simplify]: Simplify 2.0 into 2.0 7.471 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.472 * [taylor]: Taking taylor expansion of im in im 7.472 * [backup-simplify]: Simplify 0 into 0 7.472 * [backup-simplify]: Simplify 1 into 1 7.472 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 7.472 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.472 * [taylor]: Taking taylor expansion of 2.0 in im 7.472 * [backup-simplify]: Simplify 2.0 into 2.0 7.472 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.472 * [taylor]: Taking taylor expansion of im in im 7.472 * [backup-simplify]: Simplify 0 into 0 7.472 * [backup-simplify]: Simplify 1 into 1 7.473 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 7.473 * [backup-simplify]: Simplify 0 into 0 7.474 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0) 7.474 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.475 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 7.476 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0 7.476 * [backup-simplify]: Simplify 0 into 0 7.476 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.477 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.477 * [backup-simplify]: Simplify 0 into 0 7.478 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.479 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.479 * [backup-simplify]: Simplify 0 into 0 7.479 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.480 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 7.480 * [backup-simplify]: Simplify 0 into 0 7.481 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.483 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 7.483 * [backup-simplify]: Simplify 0 into 0 7.484 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.486 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 7.486 * [backup-simplify]: Simplify 0 into 0 7.487 * [backup-simplify]: Simplify (* (sqrt 2.0) im) into (* (sqrt 2.0) im) 7.487 * [backup-simplify]: Simplify (sqrt (* 2.0 (* (/ 1 im) (/ 1 im)))) into (/ (sqrt 2.0) im) 7.487 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) im) in (im) around 0 7.487 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 7.487 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.487 * [taylor]: Taking taylor expansion of 2.0 in im 7.487 * [backup-simplify]: Simplify 2.0 into 2.0 7.487 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.488 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.488 * [taylor]: Taking taylor expansion of im in im 7.488 * [backup-simplify]: Simplify 0 into 0 7.488 * [backup-simplify]: Simplify 1 into 1 7.489 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 7.489 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 7.489 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.489 * [taylor]: Taking taylor expansion of 2.0 in im 7.489 * [backup-simplify]: Simplify 2.0 into 2.0 7.490 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.490 * [taylor]: Taking taylor expansion of im in im 7.490 * [backup-simplify]: Simplify 0 into 0 7.490 * [backup-simplify]: Simplify 1 into 1 7.491 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 7.492 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.493 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 7.493 * [backup-simplify]: Simplify 0 into 0 7.494 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 7.495 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.495 * [backup-simplify]: Simplify 0 into 0 7.496 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.497 * [backup-simplify]: Simplify 0 into 0 7.499 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.500 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.500 * [backup-simplify]: Simplify 0 into 0 7.501 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.502 * [backup-simplify]: Simplify 0 into 0 7.504 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.505 * [backup-simplify]: Simplify 0 into 0 7.506 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ 1 (/ 1 im))) into (* (sqrt 2.0) im) 7.506 * [backup-simplify]: Simplify (sqrt (* 2.0 (* (/ 1 (- im)) (/ 1 (- im))))) into (/ (sqrt 2.0) im) 7.506 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) im) in (im) around 0 7.506 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 7.506 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.506 * [taylor]: Taking taylor expansion of 2.0 in im 7.506 * [backup-simplify]: Simplify 2.0 into 2.0 7.507 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.507 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.507 * [taylor]: Taking taylor expansion of im in im 7.507 * [backup-simplify]: Simplify 0 into 0 7.507 * [backup-simplify]: Simplify 1 into 1 7.508 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 7.508 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 7.508 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.508 * [taylor]: Taking taylor expansion of 2.0 in im 7.508 * [backup-simplify]: Simplify 2.0 into 2.0 7.509 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.509 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.509 * [taylor]: Taking taylor expansion of im in im 7.509 * [backup-simplify]: Simplify 0 into 0 7.509 * [backup-simplify]: Simplify 1 into 1 7.510 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 7.511 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.512 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 7.512 * [backup-simplify]: Simplify 0 into 0 7.513 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 7.521 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.521 * [backup-simplify]: Simplify 0 into 0 7.523 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.524 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.524 * [backup-simplify]: Simplify 0 into 0 7.526 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.527 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.527 * [backup-simplify]: Simplify 0 into 0 7.528 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.529 * [backup-simplify]: Simplify 0 into 0 7.531 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.532 * [backup-simplify]: Simplify 0 into 0 7.532 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ 1 (/ 1 (- im)))) into (* -1 (* (sqrt 2.0) im)) 7.532 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 7.533 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2)))) 7.533 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 7.533 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 7.533 * [taylor]: Taking taylor expansion of re in im 7.533 * [backup-simplify]: Simplify re into re 7.533 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 7.533 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 7.533 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.533 * [taylor]: Taking taylor expansion of re in im 7.533 * [backup-simplify]: Simplify re into re 7.533 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.533 * [taylor]: Taking taylor expansion of im in im 7.533 * [backup-simplify]: Simplify 0 into 0 7.533 * [backup-simplify]: Simplify 1 into 1 7.533 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.533 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 7.533 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 7.534 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 7.534 * [backup-simplify]: Simplify (+ 0 0) into 0 7.534 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 7.534 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 7.534 * [taylor]: Taking taylor expansion of re in re 7.534 * [backup-simplify]: Simplify 0 into 0 7.534 * [backup-simplify]: Simplify 1 into 1 7.534 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 7.534 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 7.534 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.534 * [taylor]: Taking taylor expansion of re in re 7.534 * [backup-simplify]: Simplify 0 into 0 7.534 * [backup-simplify]: Simplify 1 into 1 7.535 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.535 * [taylor]: Taking taylor expansion of im in re 7.535 * [backup-simplify]: Simplify im into im 7.535 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.535 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 7.535 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.535 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.536 * [backup-simplify]: Simplify (+ 0 0) into 0 7.536 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.536 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 7.536 * [taylor]: Taking taylor expansion of re in re 7.536 * [backup-simplify]: Simplify 0 into 0 7.536 * [backup-simplify]: Simplify 1 into 1 7.536 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 7.536 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 7.536 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.536 * [taylor]: Taking taylor expansion of re in re 7.536 * [backup-simplify]: Simplify 0 into 0 7.536 * [backup-simplify]: Simplify 1 into 1 7.536 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.536 * [taylor]: Taking taylor expansion of im in re 7.536 * [backup-simplify]: Simplify im into im 7.536 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.536 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 7.536 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.536 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.537 * [backup-simplify]: Simplify (+ 0 0) into 0 7.537 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.537 * [backup-simplify]: Simplify (+ 0 im) into im 7.537 * [taylor]: Taking taylor expansion of im in im 7.537 * [backup-simplify]: Simplify 0 into 0 7.537 * [backup-simplify]: Simplify 1 into 1 7.537 * [backup-simplify]: Simplify 0 into 0 7.538 * [backup-simplify]: Simplify (+ 1 0) into 1 7.538 * [taylor]: Taking taylor expansion of 1 in im 7.538 * [backup-simplify]: Simplify 1 into 1 7.538 * [backup-simplify]: Simplify 1 into 1 7.538 * [backup-simplify]: Simplify 1 into 1 7.538 * [backup-simplify]: Simplify (* 1 1) into 1 7.539 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 7.539 * [backup-simplify]: Simplify (+ 1 0) into 1 7.540 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 7.540 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 7.540 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 7.540 * [taylor]: Taking taylor expansion of 1/2 in im 7.540 * [backup-simplify]: Simplify 1/2 into 1/2 7.540 * [taylor]: Taking taylor expansion of (/ 1 im) in im 7.540 * [taylor]: Taking taylor expansion of im in im 7.540 * [backup-simplify]: Simplify 0 into 0 7.540 * [backup-simplify]: Simplify 1 into 1 7.540 * [backup-simplify]: Simplify (/ 1 1) into 1 7.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.542 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.542 * [backup-simplify]: Simplify 0 into 0 7.542 * [backup-simplify]: Simplify 0 into 0 7.542 * [backup-simplify]: Simplify 0 into 0 7.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.543 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 7.544 * [backup-simplify]: Simplify (+ 0 0) into 0 7.544 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 7.544 * [backup-simplify]: Simplify (+ 0 0) into 0 7.544 * [taylor]: Taking taylor expansion of 0 in im 7.544 * [backup-simplify]: Simplify 0 into 0 7.544 * [backup-simplify]: Simplify 0 into 0 7.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.546 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 7.546 * [backup-simplify]: Simplify 0 into 0 7.546 * [backup-simplify]: Simplify 0 into 0 7.546 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 7.547 * [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))))) 7.547 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 7.547 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 7.547 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.547 * [taylor]: Taking taylor expansion of re in im 7.547 * [backup-simplify]: Simplify re into re 7.547 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.547 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 7.547 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 7.547 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.547 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.547 * [taylor]: Taking taylor expansion of im in im 7.547 * [backup-simplify]: Simplify 0 into 0 7.547 * [backup-simplify]: Simplify 1 into 1 7.547 * [backup-simplify]: Simplify (* 1 1) into 1 7.548 * [backup-simplify]: Simplify (/ 1 1) into 1 7.548 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.548 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.548 * [taylor]: Taking taylor expansion of re in im 7.548 * [backup-simplify]: Simplify re into re 7.548 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.548 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.549 * [backup-simplify]: Simplify (+ 1 0) into 1 7.549 * [backup-simplify]: Simplify (sqrt 1) into 1 7.549 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.551 * [backup-simplify]: Simplify (+ 0 0) into 0 7.551 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.551 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 7.551 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.551 * [taylor]: Taking taylor expansion of re in re 7.551 * [backup-simplify]: Simplify 0 into 0 7.551 * [backup-simplify]: Simplify 1 into 1 7.552 * [backup-simplify]: Simplify (/ 1 1) into 1 7.552 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.552 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.552 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.552 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.552 * [taylor]: Taking taylor expansion of im in re 7.552 * [backup-simplify]: Simplify im into im 7.552 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.552 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.552 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.552 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.552 * [taylor]: Taking taylor expansion of re in re 7.552 * [backup-simplify]: Simplify 0 into 0 7.552 * [backup-simplify]: Simplify 1 into 1 7.553 * [backup-simplify]: Simplify (* 1 1) into 1 7.553 * [backup-simplify]: Simplify (/ 1 1) into 1 7.554 * [backup-simplify]: Simplify (+ 0 1) into 1 7.554 * [backup-simplify]: Simplify (sqrt 1) into 1 7.555 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.556 * [backup-simplify]: Simplify (+ 0 0) into 0 7.556 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.556 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 7.557 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.557 * [taylor]: Taking taylor expansion of re in re 7.557 * [backup-simplify]: Simplify 0 into 0 7.557 * [backup-simplify]: Simplify 1 into 1 7.557 * [backup-simplify]: Simplify (/ 1 1) into 1 7.557 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.557 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.557 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.557 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.557 * [taylor]: Taking taylor expansion of im in re 7.557 * [backup-simplify]: Simplify im into im 7.557 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.558 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.558 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.558 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.558 * [taylor]: Taking taylor expansion of re in re 7.558 * [backup-simplify]: Simplify 0 into 0 7.558 * [backup-simplify]: Simplify 1 into 1 7.558 * [backup-simplify]: Simplify (* 1 1) into 1 7.559 * [backup-simplify]: Simplify (/ 1 1) into 1 7.559 * [backup-simplify]: Simplify (+ 0 1) into 1 7.559 * [backup-simplify]: Simplify (sqrt 1) into 1 7.560 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.561 * [backup-simplify]: Simplify (+ 0 0) into 0 7.562 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.562 * [backup-simplify]: Simplify (+ 1 1) into 2 7.562 * [taylor]: Taking taylor expansion of 2 in im 7.562 * [backup-simplify]: Simplify 2 into 2 7.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.563 * [backup-simplify]: Simplify (+ 0 0) into 0 7.563 * [taylor]: Taking taylor expansion of 0 in im 7.563 * [backup-simplify]: Simplify 0 into 0 7.563 * [backup-simplify]: Simplify 2 into 2 7.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.566 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 7.567 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.568 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 7.568 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 7.568 * [taylor]: Taking taylor expansion of 1/2 in im 7.568 * [backup-simplify]: Simplify 1/2 into 1/2 7.568 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.568 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.568 * [taylor]: Taking taylor expansion of im in im 7.568 * [backup-simplify]: Simplify 0 into 0 7.568 * [backup-simplify]: Simplify 1 into 1 7.568 * [backup-simplify]: Simplify (* 1 1) into 1 7.569 * [backup-simplify]: Simplify (/ 1 1) into 1 7.569 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.571 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.571 * [backup-simplify]: Simplify 0 into 0 7.571 * [backup-simplify]: Simplify 0 into 0 7.571 * [backup-simplify]: Simplify 0 into 0 7.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.572 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.572 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 7.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.574 * [backup-simplify]: Simplify (+ 0 0) into 0 7.575 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.575 * [backup-simplify]: Simplify (+ 0 0) into 0 7.575 * [taylor]: Taking taylor expansion of 0 in im 7.575 * [backup-simplify]: Simplify 0 into 0 7.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.578 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 7.578 * [backup-simplify]: Simplify 0 into 0 7.578 * [backup-simplify]: Simplify 0 into 0 7.578 * [backup-simplify]: Simplify 0 into 0 7.578 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 7.579 * [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)) 7.579 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 7.579 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 7.579 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 7.579 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 7.579 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.579 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.579 * [taylor]: Taking taylor expansion of im in im 7.579 * [backup-simplify]: Simplify 0 into 0 7.579 * [backup-simplify]: Simplify 1 into 1 7.579 * [backup-simplify]: Simplify (* 1 1) into 1 7.580 * [backup-simplify]: Simplify (/ 1 1) into 1 7.580 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.580 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.580 * [taylor]: Taking taylor expansion of re in im 7.580 * [backup-simplify]: Simplify re into re 7.580 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.580 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.580 * [backup-simplify]: Simplify (+ 1 0) into 1 7.581 * [backup-simplify]: Simplify (sqrt 1) into 1 7.581 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.583 * [backup-simplify]: Simplify (+ 0 0) into 0 7.583 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.583 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.583 * [taylor]: Taking taylor expansion of re in im 7.583 * [backup-simplify]: Simplify re into re 7.584 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.584 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 7.584 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.584 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.584 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.584 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.584 * [taylor]: Taking taylor expansion of im in re 7.584 * [backup-simplify]: Simplify im into im 7.584 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.584 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.584 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.584 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.584 * [taylor]: Taking taylor expansion of re in re 7.584 * [backup-simplify]: Simplify 0 into 0 7.584 * [backup-simplify]: Simplify 1 into 1 7.585 * [backup-simplify]: Simplify (* 1 1) into 1 7.585 * [backup-simplify]: Simplify (/ 1 1) into 1 7.585 * [backup-simplify]: Simplify (+ 0 1) into 1 7.586 * [backup-simplify]: Simplify (sqrt 1) into 1 7.587 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.588 * [backup-simplify]: Simplify (+ 0 0) into 0 7.588 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.588 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.588 * [taylor]: Taking taylor expansion of re in re 7.589 * [backup-simplify]: Simplify 0 into 0 7.589 * [backup-simplify]: Simplify 1 into 1 7.589 * [backup-simplify]: Simplify (/ 1 1) into 1 7.589 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 7.589 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.589 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.589 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.589 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.589 * [taylor]: Taking taylor expansion of im in re 7.589 * [backup-simplify]: Simplify im into im 7.589 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.589 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.589 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.590 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.590 * [taylor]: Taking taylor expansion of re in re 7.590 * [backup-simplify]: Simplify 0 into 0 7.590 * [backup-simplify]: Simplify 1 into 1 7.590 * [backup-simplify]: Simplify (* 1 1) into 1 7.590 * [backup-simplify]: Simplify (/ 1 1) into 1 7.591 * [backup-simplify]: Simplify (+ 0 1) into 1 7.591 * [backup-simplify]: Simplify (sqrt 1) into 1 7.592 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.593 * [backup-simplify]: Simplify (+ 0 0) into 0 7.594 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.594 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.594 * [taylor]: Taking taylor expansion of re in re 7.594 * [backup-simplify]: Simplify 0 into 0 7.594 * [backup-simplify]: Simplify 1 into 1 7.594 * [backup-simplify]: Simplify (/ 1 1) into 1 7.595 * [backup-simplify]: Simplify (- 1) into -1 7.595 * [backup-simplify]: Simplify (+ 1 -1) into 0 7.595 * [taylor]: Taking taylor expansion of 0 in im 7.595 * [backup-simplify]: Simplify 0 into 0 7.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.596 * [backup-simplify]: Simplify (- 0) into 0 7.596 * [backup-simplify]: Simplify (+ 0 0) into 0 7.596 * [taylor]: Taking taylor expansion of 0 in im 7.596 * [backup-simplify]: Simplify 0 into 0 7.597 * [backup-simplify]: Simplify 0 into 0 7.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.599 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 7.600 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.601 * [backup-simplify]: Simplify (- 0) into 0 7.601 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 7.601 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 7.601 * [taylor]: Taking taylor expansion of 1/2 in im 7.601 * [backup-simplify]: Simplify 1/2 into 1/2 7.601 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.601 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.601 * [taylor]: Taking taylor expansion of im in im 7.602 * [backup-simplify]: Simplify 0 into 0 7.602 * [backup-simplify]: Simplify 1 into 1 7.602 * [backup-simplify]: Simplify (* 1 1) into 1 7.602 * [backup-simplify]: Simplify (/ 1 1) into 1 7.603 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.604 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.604 * [backup-simplify]: Simplify 0 into 0 7.604 * [backup-simplify]: Simplify 0 into 0 7.604 * [backup-simplify]: Simplify 0 into 0 7.605 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.605 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 7.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.607 * [backup-simplify]: Simplify (+ 0 0) into 0 7.608 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.609 * [backup-simplify]: Simplify (- 0) into 0 7.610 * [backup-simplify]: Simplify (+ 0 0) into 0 7.610 * [taylor]: Taking taylor expansion of 0 in im 7.610 * [backup-simplify]: Simplify 0 into 0 7.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.613 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 7.613 * [backup-simplify]: Simplify 0 into 0 7.613 * [backup-simplify]: Simplify 0 into 0 7.613 * [backup-simplify]: Simplify 0 into 0 7.613 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 7.614 * [backup-simplify]: Simplify (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) into (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) 7.614 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in (im re) around 0 7.614 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in re 7.614 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re 7.614 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.614 * [taylor]: Taking taylor expansion of 2.0 in re 7.614 * [backup-simplify]: Simplify 2.0 into 2.0 7.614 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.615 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.615 * [taylor]: Taking taylor expansion of im in re 7.615 * [backup-simplify]: Simplify im into im 7.615 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 7.615 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 7.615 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 7.615 * [taylor]: Taking taylor expansion of re in re 7.615 * [backup-simplify]: Simplify 0 into 0 7.615 * [backup-simplify]: Simplify 1 into 1 7.615 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 7.615 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 7.615 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.615 * [taylor]: Taking taylor expansion of re in re 7.615 * [backup-simplify]: Simplify 0 into 0 7.615 * [backup-simplify]: Simplify 1 into 1 7.615 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.615 * [taylor]: Taking taylor expansion of im in re 7.615 * [backup-simplify]: Simplify im into im 7.615 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.616 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 7.616 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.616 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.616 * [backup-simplify]: Simplify (+ 0 0) into 0 7.616 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.616 * [backup-simplify]: Simplify (+ 0 im) into im 7.617 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 7.617 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im)) 7.617 * [backup-simplify]: Simplify (+ 1 0) into 1 7.617 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 1 im)))) into (- (/ 1 (pow im 2))) 7.617 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2))) (* 2 (sqrt (/ 1 im)))) into (* -1/2 (sqrt (/ 1 (pow im 3)))) 7.618 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 7.618 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 7.618 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.618 * [taylor]: Taking taylor expansion of 2.0 in im 7.618 * [backup-simplify]: Simplify 2.0 into 2.0 7.618 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.619 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.619 * [taylor]: Taking taylor expansion of im in im 7.619 * [backup-simplify]: Simplify 0 into 0 7.619 * [backup-simplify]: Simplify 1 into 1 7.619 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 7.619 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 7.619 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 7.619 * [taylor]: Taking taylor expansion of re in im 7.619 * [backup-simplify]: Simplify re into re 7.619 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 7.619 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 7.619 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.619 * [taylor]: Taking taylor expansion of re in im 7.619 * [backup-simplify]: Simplify re into re 7.619 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.619 * [taylor]: Taking taylor expansion of im in im 7.619 * [backup-simplify]: Simplify 0 into 0 7.619 * [backup-simplify]: Simplify 1 into 1 7.619 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.620 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 7.620 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 7.620 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 7.620 * [backup-simplify]: Simplify (+ 0 0) into 0 7.620 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 7.621 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 7.621 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 7.621 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 7.621 * [backup-simplify]: Simplify (+ 0 0) into 0 7.621 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 7.621 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 7.621 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 7.621 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 7.622 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.622 * [taylor]: Taking taylor expansion of 2.0 in im 7.622 * [backup-simplify]: Simplify 2.0 into 2.0 7.622 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.623 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.623 * [taylor]: Taking taylor expansion of im in im 7.623 * [backup-simplify]: Simplify 0 into 0 7.623 * [backup-simplify]: Simplify 1 into 1 7.623 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 7.623 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 7.623 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 7.623 * [taylor]: Taking taylor expansion of re in im 7.623 * [backup-simplify]: Simplify re into re 7.623 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 7.623 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 7.623 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.623 * [taylor]: Taking taylor expansion of re in im 7.623 * [backup-simplify]: Simplify re into re 7.623 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.623 * [taylor]: Taking taylor expansion of im in im 7.623 * [backup-simplify]: Simplify 0 into 0 7.623 * [backup-simplify]: Simplify 1 into 1 7.623 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.623 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 7.624 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 7.624 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 7.624 * [backup-simplify]: Simplify (+ 0 0) into 0 7.624 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 7.624 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 7.624 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 7.624 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 7.625 * [backup-simplify]: Simplify (+ 0 0) into 0 7.625 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 7.625 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 7.626 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 7.626 * [backup-simplify]: Simplify (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2))) into 0 7.626 * [taylor]: Taking taylor expansion of 0 in re 7.626 * [backup-simplify]: Simplify 0 into 0 7.626 * [backup-simplify]: Simplify 0 into 0 7.628 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0) 7.629 * [backup-simplify]: Simplify (+ (* 0 0) (* (sqrt 2.0) (* (sqrt (/ 1 re)) (sqrt 1/2)))) into (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re))) 7.629 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re))) in re 7.629 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 1/2)) in re 7.630 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.630 * [taylor]: Taking taylor expansion of 2.0 in re 7.630 * [backup-simplify]: Simplify 2.0 into 2.0 7.630 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.631 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.631 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 7.631 * [taylor]: Taking taylor expansion of 1/2 in re 7.631 * [backup-simplify]: Simplify 1/2 into 1/2 7.631 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 7.632 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 7.632 * [taylor]: Taking taylor expansion of (sqrt (/ 1 re)) in re 7.632 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.632 * [taylor]: Taking taylor expansion of re in re 7.632 * [backup-simplify]: Simplify 0 into 0 7.632 * [backup-simplify]: Simplify 1 into 1 7.633 * [backup-simplify]: Simplify (/ 1 1) into 1 7.633 * [backup-simplify]: Simplify (sqrt 0) into 0 7.634 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.636 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 1/2)) into (* (sqrt 2.0) (sqrt 1/2)) 7.637 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 1/2))) into 0 7.640 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 7.643 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 7.643 * [backup-simplify]: Simplify 0 into 0 7.644 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 7.644 * [backup-simplify]: Simplify (* 1 1) into 1 7.644 * [backup-simplify]: Simplify (+ 0 1) into 1 7.645 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 7.645 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re)) 7.646 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ (* 1/2 (/ 1 re)) (* 2 re))) (* 0 (/ 0 (* 2 re))))) into (- (* 1/8 (/ 1 (pow re 3)))) 7.647 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow re 3)))) (pow 0 2) (+)) (* 2 (* (sqrt (/ 1 re)) (sqrt 1/2)))) into (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2)))) 7.648 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 7.650 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0 7.652 * [backup-simplify]: Simplify (+ (* 0 (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2))))) (+ (* (sqrt 2.0) 0) (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2))))) into 0 7.652 * [taylor]: Taking taylor expansion of 0 in re 7.652 * [backup-simplify]: Simplify 0 into 0 7.652 * [backup-simplify]: Simplify 0 into 0 7.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.656 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.657 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 7.658 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 7.659 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 7.664 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 7.667 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 7.667 * [backup-simplify]: Simplify 0 into 0 7.674 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 7.675 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.675 * [backup-simplify]: Simplify (+ 0 0) into 0 7.676 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 7.676 * [backup-simplify]: Simplify (+ 0 0) into 0 7.677 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))) (* 0 (/ (* 1/2 (/ 1 re)) (* 2 re))) (* (- (* 1/8 (/ 1 (pow re 3)))) (/ 0 (* 2 re))))) into 0 7.678 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2)))))))) (* 2 (* (sqrt (/ 1 re)) (sqrt 1/2)))) into 0 7.679 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.681 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.683 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (sqrt 2.0) (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2))))) (+ (* 0 0) (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2)))))) into (- (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) 7.684 * [taylor]: Taking taylor expansion of (- (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) in re 7.684 * [taylor]: Taking taylor expansion of (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5))))) in re 7.684 * [taylor]: Taking taylor expansion of 1/16 in re 7.684 * [backup-simplify]: Simplify 1/16 into 1/16 7.684 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))) in re 7.684 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 1/2)) in re 7.684 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.684 * [taylor]: Taking taylor expansion of 2.0 in re 7.684 * [backup-simplify]: Simplify 2.0 into 2.0 7.684 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.685 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.685 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 7.685 * [taylor]: Taking taylor expansion of 1/2 in re 7.685 * [backup-simplify]: Simplify 1/2 into 1/2 7.685 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 7.686 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 7.688 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt 1/2)) into (/ (sqrt 2.0) (sqrt 1/2)) 7.688 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 5))) in re 7.688 * [taylor]: Taking taylor expansion of (/ 1 (pow re 5)) in re 7.688 * [taylor]: Taking taylor expansion of (pow re 5) in re 7.688 * [taylor]: Taking taylor expansion of re in re 7.688 * [backup-simplify]: Simplify 0 into 0 7.688 * [backup-simplify]: Simplify 1 into 1 7.688 * [backup-simplify]: Simplify (* 1 1) into 1 7.689 * [backup-simplify]: Simplify (* 1 1) into 1 7.689 * [backup-simplify]: Simplify (* 1 1) into 1 7.689 * [backup-simplify]: Simplify (/ 1 1) into 1 7.690 * [backup-simplify]: Simplify (sqrt 0) into 0 7.691 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.693 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.694 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.695 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.700 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.703 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.705 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))))) into 0 7.706 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 7.707 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 7.709 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0 7.710 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.711 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 7.713 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0 7.718 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 7.723 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 7.727 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 7.727 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (sqrt 1/2)) 0) into 0 7.736 * [backup-simplify]: Simplify (+ (* 1/16 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) (* 0 0)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 7.740 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 7.743 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 7.754 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) (pow (* 1 im) 3)) (+ (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) (* re im)) (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) (* 1 im)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) (* im re)))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) im))) (- (* +nan.0 (/ (* (sqrt 2.0) (pow im 3)) (sqrt 1/2)))))))) 7.755 * [backup-simplify]: Simplify (/ (sqrt (* 2.0 (* (/ 1 im) (/ 1 im)))) (sqrt (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) 7.755 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in (im re) around 0 7.755 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re 7.755 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 7.755 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.755 * [taylor]: Taking taylor expansion of 2.0 in re 7.755 * [backup-simplify]: Simplify 2.0 into 2.0 7.756 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.756 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.756 * [taylor]: Taking taylor expansion of im in re 7.756 * [backup-simplify]: Simplify im into im 7.757 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 7.757 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 7.757 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 7.757 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 7.757 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.757 * [taylor]: Taking taylor expansion of re in re 7.757 * [backup-simplify]: Simplify 0 into 0 7.757 * [backup-simplify]: Simplify 1 into 1 7.758 * [backup-simplify]: Simplify (/ 1 1) into 1 7.758 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.758 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.758 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.758 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.758 * [taylor]: Taking taylor expansion of im in re 7.758 * [backup-simplify]: Simplify im into im 7.758 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.758 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.758 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.758 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.758 * [taylor]: Taking taylor expansion of re in re 7.758 * [backup-simplify]: Simplify 0 into 0 7.758 * [backup-simplify]: Simplify 1 into 1 7.759 * [backup-simplify]: Simplify (* 1 1) into 1 7.759 * [backup-simplify]: Simplify (/ 1 1) into 1 7.760 * [backup-simplify]: Simplify (+ 0 1) into 1 7.760 * [backup-simplify]: Simplify (sqrt 1) into 1 7.761 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.762 * [backup-simplify]: Simplify (+ 0 0) into 0 7.763 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.763 * [backup-simplify]: Simplify (+ 1 1) into 2 7.763 * [backup-simplify]: Simplify (/ 1 2) into 1/2 7.764 * [backup-simplify]: Simplify (sqrt 0) into 0 7.765 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0 7.765 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 7.765 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 7.766 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.766 * [taylor]: Taking taylor expansion of 2.0 in im 7.766 * [backup-simplify]: Simplify 2.0 into 2.0 7.766 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.767 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.767 * [taylor]: Taking taylor expansion of im in im 7.767 * [backup-simplify]: Simplify 0 into 0 7.767 * [backup-simplify]: Simplify 1 into 1 7.768 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 7.768 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 7.768 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 7.768 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 7.768 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.768 * [taylor]: Taking taylor expansion of re in im 7.768 * [backup-simplify]: Simplify re into re 7.768 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.768 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 7.768 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 7.768 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.768 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.768 * [taylor]: Taking taylor expansion of im in im 7.768 * [backup-simplify]: Simplify 0 into 0 7.768 * [backup-simplify]: Simplify 1 into 1 7.769 * [backup-simplify]: Simplify (* 1 1) into 1 7.769 * [backup-simplify]: Simplify (/ 1 1) into 1 7.769 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.769 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.769 * [taylor]: Taking taylor expansion of re in im 7.769 * [backup-simplify]: Simplify re into re 7.769 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.769 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.770 * [backup-simplify]: Simplify (+ 1 0) into 1 7.770 * [backup-simplify]: Simplify (sqrt 1) into 1 7.771 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.772 * [backup-simplify]: Simplify (+ 0 0) into 0 7.773 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.773 * [backup-simplify]: Simplify (+ 0 1) into 1 7.774 * [backup-simplify]: Simplify (/ 1 1) into 1 7.774 * [backup-simplify]: Simplify (sqrt 0) into 0 7.775 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.775 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 7.776 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 7.776 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.776 * [taylor]: Taking taylor expansion of 2.0 in im 7.776 * [backup-simplify]: Simplify 2.0 into 2.0 7.776 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.777 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.777 * [taylor]: Taking taylor expansion of im in im 7.777 * [backup-simplify]: Simplify 0 into 0 7.777 * [backup-simplify]: Simplify 1 into 1 7.778 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 7.778 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 7.778 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 7.778 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 7.778 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.778 * [taylor]: Taking taylor expansion of re in im 7.778 * [backup-simplify]: Simplify re into re 7.778 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.778 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 7.778 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 7.778 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.778 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.778 * [taylor]: Taking taylor expansion of im in im 7.778 * [backup-simplify]: Simplify 0 into 0 7.778 * [backup-simplify]: Simplify 1 into 1 7.779 * [backup-simplify]: Simplify (* 1 1) into 1 7.779 * [backup-simplify]: Simplify (/ 1 1) into 1 7.779 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.779 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.779 * [taylor]: Taking taylor expansion of re in im 7.779 * [backup-simplify]: Simplify re into re 7.779 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.780 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.780 * [backup-simplify]: Simplify (+ 1 0) into 1 7.780 * [backup-simplify]: Simplify (sqrt 1) into 1 7.781 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.782 * [backup-simplify]: Simplify (+ 0 0) into 0 7.782 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.782 * [backup-simplify]: Simplify (+ 0 1) into 1 7.783 * [backup-simplify]: Simplify (/ 1 1) into 1 7.783 * [backup-simplify]: Simplify (sqrt 0) into 0 7.784 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.784 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 7.784 * [taylor]: Taking taylor expansion of 0 in re 7.784 * [backup-simplify]: Simplify 0 into 0 7.784 * [backup-simplify]: Simplify 0 into 0 7.785 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 7.786 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 7.786 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 7.786 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 7.786 * [taylor]: Taking taylor expansion of +nan.0 in re 7.786 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.786 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.786 * [taylor]: Taking taylor expansion of 2.0 in re 7.786 * [backup-simplify]: Simplify 2.0 into 2.0 7.786 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.787 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.787 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 7.788 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 7.789 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 7.789 * [backup-simplify]: Simplify 0 into 0 7.789 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 7.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 7.790 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0))) 7.791 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 7.792 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.793 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 7.793 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 7.793 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 7.793 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 7.793 * [taylor]: Taking taylor expansion of +nan.0 in re 7.793 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.793 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.793 * [taylor]: Taking taylor expansion of 2.0 in re 7.793 * [backup-simplify]: Simplify 2.0 into 2.0 7.793 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.793 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.793 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 7.793 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 7.794 * [taylor]: Taking taylor expansion of +nan.0 in re 7.794 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.794 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 7.794 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.794 * [taylor]: Taking taylor expansion of 2.0 in re 7.794 * [backup-simplify]: Simplify 2.0 into 2.0 7.794 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.794 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.794 * [taylor]: Taking taylor expansion of re in re 7.794 * [backup-simplify]: Simplify 0 into 0 7.794 * [backup-simplify]: Simplify 1 into 1 7.795 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 7.796 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 7.796 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 7.797 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 7.797 * [backup-simplify]: Simplify (- 0) into 0 7.798 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 7.799 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 7.800 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 7.801 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 7.801 * [backup-simplify]: Simplify (- 0) into 0 7.801 * [backup-simplify]: Simplify 0 into 0 7.801 * [backup-simplify]: Simplify 0 into 0 7.801 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 7.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.802 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 7.803 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 7.803 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 7.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 7.810 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 re) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 7.811 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.811 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.813 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 7.813 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re 7.813 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re 7.813 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 7.813 * [taylor]: Taking taylor expansion of +nan.0 in re 7.813 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.813 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.813 * [taylor]: Taking taylor expansion of 2.0 in re 7.813 * [backup-simplify]: Simplify 2.0 into 2.0 7.814 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.814 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.814 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 7.814 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 7.814 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 7.814 * [taylor]: Taking taylor expansion of +nan.0 in re 7.814 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.814 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 7.814 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.814 * [taylor]: Taking taylor expansion of 2.0 in re 7.814 * [backup-simplify]: Simplify 2.0 into 2.0 7.815 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.815 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.815 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.815 * [taylor]: Taking taylor expansion of re in re 7.815 * [backup-simplify]: Simplify 0 into 0 7.815 * [backup-simplify]: Simplify 1 into 1 7.815 * [backup-simplify]: Simplify (* 1 1) into 1 7.816 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 7.816 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 7.816 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 7.816 * [taylor]: Taking taylor expansion of +nan.0 in re 7.816 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.816 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 7.816 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.816 * [taylor]: Taking taylor expansion of 2.0 in re 7.816 * [backup-simplify]: Simplify 2.0 into 2.0 7.816 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.817 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.817 * [taylor]: Taking taylor expansion of re in re 7.817 * [backup-simplify]: Simplify 0 into 0 7.817 * [backup-simplify]: Simplify 1 into 1 7.818 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 7.819 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 7.820 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 7.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.821 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.822 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 7.823 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.824 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 7.825 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 7.826 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 7.827 * [backup-simplify]: Simplify (- 0) into 0 7.827 * [backup-simplify]: Simplify (+ 0 0) into 0 7.827 * [backup-simplify]: Simplify (- 0) into 0 7.829 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 7.831 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 7.833 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 7.838 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 im)) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 im))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (sqrt 2.0))))))) 7.838 * [backup-simplify]: Simplify (/ (sqrt (* 2.0 (* (/ 1 (- im)) (/ 1 (- im))))) (sqrt (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) 7.839 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in (im re) around 0 7.839 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in re 7.839 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 7.839 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.839 * [taylor]: Taking taylor expansion of 2.0 in re 7.839 * [backup-simplify]: Simplify 2.0 into 2.0 7.839 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.840 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.840 * [taylor]: Taking taylor expansion of im in re 7.840 * [backup-simplify]: Simplify im into im 7.840 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 7.840 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 7.840 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 7.840 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 7.841 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.841 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.841 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.841 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.841 * [taylor]: Taking taylor expansion of im in re 7.841 * [backup-simplify]: Simplify im into im 7.841 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.841 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.841 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.841 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.841 * [taylor]: Taking taylor expansion of re in re 7.841 * [backup-simplify]: Simplify 0 into 0 7.841 * [backup-simplify]: Simplify 1 into 1 7.842 * [backup-simplify]: Simplify (* 1 1) into 1 7.842 * [backup-simplify]: Simplify (/ 1 1) into 1 7.843 * [backup-simplify]: Simplify (+ 0 1) into 1 7.843 * [backup-simplify]: Simplify (sqrt 1) into 1 7.844 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.845 * [backup-simplify]: Simplify (+ 0 0) into 0 7.845 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.846 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.846 * [taylor]: Taking taylor expansion of re in re 7.846 * [backup-simplify]: Simplify 0 into 0 7.846 * [backup-simplify]: Simplify 1 into 1 7.846 * [backup-simplify]: Simplify (/ 1 1) into 1 7.846 * [backup-simplify]: Simplify (- 1) into -1 7.847 * [backup-simplify]: Simplify (+ 1 -1) into 0 7.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.848 * [backup-simplify]: Simplify (- 0) into 0 7.848 * [backup-simplify]: Simplify (+ 0 0) into 0 7.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.850 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 7.851 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.853 * [backup-simplify]: Simplify (- 0) into 0 7.853 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 7.853 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2)) 7.853 * [backup-simplify]: Simplify (sqrt 0) into 0 7.854 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2)) 7.854 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 7.854 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 7.854 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.854 * [taylor]: Taking taylor expansion of 2.0 in im 7.854 * [backup-simplify]: Simplify 2.0 into 2.0 7.855 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.855 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.855 * [taylor]: Taking taylor expansion of im in im 7.855 * [backup-simplify]: Simplify 0 into 0 7.855 * [backup-simplify]: Simplify 1 into 1 7.856 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 7.856 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 7.856 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 7.856 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 7.856 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 7.856 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 7.856 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.856 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.856 * [taylor]: Taking taylor expansion of im in im 7.857 * [backup-simplify]: Simplify 0 into 0 7.857 * [backup-simplify]: Simplify 1 into 1 7.857 * [backup-simplify]: Simplify (* 1 1) into 1 7.857 * [backup-simplify]: Simplify (/ 1 1) into 1 7.857 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.857 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.857 * [taylor]: Taking taylor expansion of re in im 7.857 * [backup-simplify]: Simplify re into re 7.857 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.858 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.858 * [backup-simplify]: Simplify (+ 1 0) into 1 7.858 * [backup-simplify]: Simplify (sqrt 1) into 1 7.859 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.860 * [backup-simplify]: Simplify (+ 0 0) into 0 7.861 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.861 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.861 * [taylor]: Taking taylor expansion of re in im 7.861 * [backup-simplify]: Simplify re into re 7.861 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.861 * [backup-simplify]: Simplify (+ 1 0) into 1 7.862 * [backup-simplify]: Simplify (/ 1 1) into 1 7.862 * [backup-simplify]: Simplify (sqrt 0) into 0 7.863 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.863 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 7.863 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 7.863 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.864 * [taylor]: Taking taylor expansion of 2.0 in im 7.864 * [backup-simplify]: Simplify 2.0 into 2.0 7.864 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.865 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.865 * [taylor]: Taking taylor expansion of im in im 7.865 * [backup-simplify]: Simplify 0 into 0 7.865 * [backup-simplify]: Simplify 1 into 1 7.866 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 7.866 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 7.866 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 7.866 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 7.866 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 7.866 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 7.866 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.866 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.866 * [taylor]: Taking taylor expansion of im in im 7.866 * [backup-simplify]: Simplify 0 into 0 7.866 * [backup-simplify]: Simplify 1 into 1 7.866 * [backup-simplify]: Simplify (* 1 1) into 1 7.867 * [backup-simplify]: Simplify (/ 1 1) into 1 7.867 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.867 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.867 * [taylor]: Taking taylor expansion of re in im 7.867 * [backup-simplify]: Simplify re into re 7.867 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.867 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.868 * [backup-simplify]: Simplify (+ 1 0) into 1 7.868 * [backup-simplify]: Simplify (sqrt 1) into 1 7.868 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.870 * [backup-simplify]: Simplify (+ 0 0) into 0 7.870 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.870 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.870 * [taylor]: Taking taylor expansion of re in im 7.870 * [backup-simplify]: Simplify re into re 7.870 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.871 * [backup-simplify]: Simplify (+ 1 0) into 1 7.871 * [backup-simplify]: Simplify (/ 1 1) into 1 7.871 * [backup-simplify]: Simplify (sqrt 0) into 0 7.873 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.873 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 7.873 * [taylor]: Taking taylor expansion of 0 in re 7.873 * [backup-simplify]: Simplify 0 into 0 7.874 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 7.876 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 7.876 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 7.876 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 7.876 * [taylor]: Taking taylor expansion of +nan.0 in re 7.876 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.876 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.877 * [taylor]: Taking taylor expansion of 2.0 in re 7.877 * [backup-simplify]: Simplify 2.0 into 2.0 7.877 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.878 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.878 * [backup-simplify]: Simplify 0 into 0 7.878 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 7.878 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 7.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 7.879 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0)) 7.880 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 7.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.883 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 7.883 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 7.883 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 7.883 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 7.883 * [taylor]: Taking taylor expansion of +nan.0 in re 7.883 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.883 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.883 * [taylor]: Taking taylor expansion of 2.0 in re 7.883 * [backup-simplify]: Simplify 2.0 into 2.0 7.883 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.884 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.884 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 7.884 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 7.884 * [taylor]: Taking taylor expansion of +nan.0 in re 7.884 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.884 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 7.884 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.884 * [taylor]: Taking taylor expansion of 2.0 in re 7.884 * [backup-simplify]: Simplify 2.0 into 2.0 7.884 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.885 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.885 * [taylor]: Taking taylor expansion of re in re 7.885 * [backup-simplify]: Simplify 0 into 0 7.885 * [backup-simplify]: Simplify 1 into 1 7.886 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 7.887 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 7.888 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 7.891 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 7.893 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 7.894 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 7.895 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 7.896 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 7.898 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 7.898 * [backup-simplify]: Simplify 0 into 0 7.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.900 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 7.901 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 7.901 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 7.902 * [backup-simplify]: Simplify (- 0) into 0 7.902 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 7.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 7.903 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 re) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 7.904 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.905 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.908 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 7.908 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re 7.908 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re 7.908 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 7.908 * [taylor]: Taking taylor expansion of +nan.0 in re 7.908 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.908 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.908 * [taylor]: Taking taylor expansion of 2.0 in re 7.908 * [backup-simplify]: Simplify 2.0 into 2.0 7.908 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.909 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.909 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 7.909 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 7.909 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 7.909 * [taylor]: Taking taylor expansion of +nan.0 in re 7.909 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.909 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 7.909 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.909 * [taylor]: Taking taylor expansion of 2.0 in re 7.910 * [backup-simplify]: Simplify 2.0 into 2.0 7.910 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.911 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.911 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.911 * [taylor]: Taking taylor expansion of re in re 7.911 * [backup-simplify]: Simplify 0 into 0 7.911 * [backup-simplify]: Simplify 1 into 1 7.911 * [backup-simplify]: Simplify (* 1 1) into 1 7.912 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 7.912 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 7.912 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 7.912 * [taylor]: Taking taylor expansion of +nan.0 in re 7.912 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.912 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 7.912 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.912 * [taylor]: Taking taylor expansion of 2.0 in re 7.912 * [backup-simplify]: Simplify 2.0 into 2.0 7.913 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.913 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.913 * [taylor]: Taking taylor expansion of re in re 7.913 * [backup-simplify]: Simplify 0 into 0 7.913 * [backup-simplify]: Simplify 1 into 1 7.914 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 7.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.916 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 7.917 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 7.918 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 7.919 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 7.922 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 7.924 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 7.926 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 7.929 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 7.930 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 7.933 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 (- re))) (pow (/ 1 (- im)) 2))) (+ (- (* +nan.0 (sqrt 2.0))) (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 (- re))) (/ 1 (- im)))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2)))))))) 7.933 * * * [progress]: simplifying candidates 7.934 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (* 2.0 (* im im)))) (exp (sqrt (* 2.0 (* im im)))) (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (cbrt (sqrt (* 2.0 (* im im)))) (* (* (sqrt (* 2.0 (* im im))) (sqrt (* 2.0 (* im im)))) (sqrt (* 2.0 (* im im)))) (sqrt 2.0) (sqrt (* im im)) (/ 1 2) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (* 2.0 (* im im)))) (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* 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im))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* 2.0 (* im im))) 1) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (sqrt (* 2.0 (* im im))))) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* im im))) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* 2.0 (* im im))))) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (* im im)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) im re (* -1 re) (* (sqrt 2.0) im) (* (sqrt 2.0) im) (* -1 (* (sqrt 2.0) im)) (+ re im) (* 2 re) 0 (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) (* im re)))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) im))) (- (* +nan.0 (/ (* (sqrt 2.0) (pow im 3)) (sqrt 1/2)))))))) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (sqrt 2.0))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2)))))))) 7.938 * * [simplify]: Extracting # 0 : cost 0 7.938 * * [simplify]: Extracting # 1 : cost 0 7.938 * * [simplify]: Extracting # 2 : cost 0 7.938 * * [simplify]: Extracting # 3 : cost 0 7.938 * * [simplify]: Extracting # 4 : cost 0 7.938 * * [simplify]: Extracting # 5 : cost 0 7.939 * * [simplify]: Extracting # 6 : cost 0 7.939 * * [simplify]: Extracting # 7 : cost 0 7.939 * * [simplify]: Extracting # 8 : cost 0 7.939 * * [simplify]: Extracting # 9 : cost 0 7.940 * * [simplify]: Extracting # 10 : cost 0 7.940 * * [simplify]: Extracting # 11 : cost 0 7.940 * * [simplify]: Extracting # 12 : cost 0 7.940 * * [simplify]: Extracting # 13 : cost 0 7.940 * * [simplify]: iteration 0 : 181 enodes (cost 2231 ) 7.991 * * [simplify]: Extracting # 0 : cost 0 7.992 * * [simplify]: Extracting # 1 : cost 0 7.993 * * [simplify]: Extracting # 2 : cost 0 7.993 * * [simplify]: Extracting # 3 : cost 0 7.994 * * [simplify]: Extracting # 4 : cost 0 7.995 * * [simplify]: iteration 1 : 387 enodes (cost 1998 ) 8.166 * * [simplify]: Extracting # 0 : cost 0 8.168 * * [simplify]: Extracting # 1 : cost 0 8.171 * * [simplify]: Extracting # 2 : cost 0 8.174 * * [simplify]: Extracting # 3 : cost 0 8.176 * * [simplify]: Extracting # 4 : cost 0 8.179 * * [simplify]: iteration 2 : 1067 enodes (cost 1907 ) 8.935 * * [simplify]: Extracting # 0 : cost 0 8.943 * * [simplify]: Extracting # 1 : cost 0 8.950 * * [simplify]: Extracting # 2 : cost 0 8.956 * * [simplify]: Extracting # 3 : cost 0 8.963 * * [simplify]: Extracting # 4 : cost 0 8.970 * * [simplify]: iteration 3 : 3181 enodes (cost 1877 ) 10.599 * * [simplify]: Extracting # 0 : cost 0 10.605 * * [simplify]: Extracting # 1 : cost 0 10.610 * * [simplify]: Extracting # 2 : cost 0 10.620 * * [simplify]: Extracting # 3 : cost 0 10.626 * * [simplify]: Extracting # 4 : cost 0 10.636 * * [simplify]: iteration done: 5000 enodes (cost 1871 ) 10.637 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (* 2.0 (* im im)))) (exp (sqrt (* 2.0 (* im im)))) (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (cbrt (sqrt (* 2.0 (* im im)))) (pow (sqrt (* 2.0 (* im im))) 3) (sqrt 2.0) (fabs im) 1/2 1/2 1/2 (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (* 2.0 (* im im)))) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (pow (+ (sqrt (+ (* re re) (* im im))) re) 3) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (pow im 2) (* re (+ re (- re (sqrt (+ (* re re) (* im im))))))) (pow im 2) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) (log (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (log (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (pow (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) 3) (* (cbrt (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (pow (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) 3) (* (/ (* 2.0 im) (+ (sqrt (+ (* re re) (* im im))) re)) im) (sqrt (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (- (sqrt (* 2.0 (* im im)))) (- (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (/ (fabs (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (* 2.0 (* im im)))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) 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(/ (fabs im) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt 2.0) (fabs (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt 2.0) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt 2.0) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (fabs (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ 1 (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (sqrt (* 2.0 (* im im))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ 1 (fabs (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ 1 (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) 1 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) 1 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ 1 (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) 1 (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ 1 (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (* im im)))) (/ (sqrt (* 2.0 (* im im))) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (sqrt (* 2.0 (* im im))) (fabs (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (* im im))) (sqrt (* 2.0 (* im im))) (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (* im im))) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (sqrt (* 2.0 (* im im))))) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (fabs im)) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* 2.0 (* im im))))) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (* im im)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (/ (sqrt (* 2.0 (* im im))) (fabs im)) im re (- re) (* (sqrt 2.0) im) (* (sqrt 2.0) im) (- (* (sqrt 2.0) im)) (+ re im) (* 2 re) 0 (- (+ (* (* (* +nan.0 (sqrt 2.0)) (sqrt 1/2)) (- (* im re) im)) (* +nan.0 (/ (* (sqrt 2.0) (pow im 3)) (sqrt 1/2))))) (- (+ (* +nan.0 (sqrt 2.0)) (* (/ (sqrt 2.0) im) (- (/ +nan.0 im) +nan.0)))) (* +nan.0 (+ (- (sqrt 2.0)) (* (/ (sqrt 2.0) im) (- re (/ re im))))) 10.639 * * * [progress]: adding candidates to table 11.092 * * [progress]: iteration 4 / 4 11.092 * * * [progress]: picking best candidate 11.130 * * * * [pick]: Picked # 11.130 * * * [progress]: localizing error 11.163 * * * [progress]: generating rewritten candidates 11.163 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2 1 1) 11.172 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1) 11.210 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 11.360 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 11.441 * * * [progress]: generating series expansions 11.441 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2 1 1) 11.441 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 11.441 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 11.441 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 11.441 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 11.441 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.441 * [taylor]: Taking taylor expansion of re in im 11.441 * [backup-simplify]: Simplify re into re 11.441 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.441 * [taylor]: Taking taylor expansion of im in im 11.441 * [backup-simplify]: Simplify 0 into 0 11.441 * [backup-simplify]: Simplify 1 into 1 11.441 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.441 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 11.441 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 11.442 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 11.442 * [backup-simplify]: Simplify (+ 0 0) into 0 11.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 11.442 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 11.442 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 11.442 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.442 * [taylor]: Taking taylor expansion of re in re 11.442 * [backup-simplify]: Simplify 0 into 0 11.442 * [backup-simplify]: Simplify 1 into 1 11.442 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.442 * [taylor]: Taking taylor expansion of im in re 11.442 * [backup-simplify]: Simplify im into im 11.442 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.443 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 11.443 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 11.443 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.443 * [backup-simplify]: Simplify (+ 0 0) into 0 11.443 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 11.443 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 11.443 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 11.443 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.443 * [taylor]: Taking taylor expansion of re in re 11.443 * [backup-simplify]: Simplify 0 into 0 11.443 * [backup-simplify]: Simplify 1 into 1 11.443 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.443 * [taylor]: Taking taylor expansion of im in re 11.443 * [backup-simplify]: Simplify im into im 11.443 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.443 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 11.444 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 11.444 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.444 * [backup-simplify]: Simplify (+ 0 0) into 0 11.444 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 11.444 * [taylor]: Taking taylor expansion of im in im 11.444 * [backup-simplify]: Simplify 0 into 0 11.444 * [backup-simplify]: Simplify 1 into 1 11.444 * [backup-simplify]: Simplify 0 into 0 11.444 * [taylor]: Taking taylor expansion of 0 in im 11.444 * [backup-simplify]: Simplify 0 into 0 11.444 * [backup-simplify]: Simplify 0 into 0 11.444 * [backup-simplify]: Simplify 1 into 1 11.445 * [backup-simplify]: Simplify (* 1 1) into 1 11.445 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 11.445 * [backup-simplify]: Simplify (+ 1 0) into 1 11.446 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 11.446 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 11.446 * [taylor]: Taking taylor expansion of 1/2 in im 11.446 * [backup-simplify]: Simplify 1/2 into 1/2 11.446 * [taylor]: Taking taylor expansion of im in im 11.446 * [backup-simplify]: Simplify 0 into 0 11.446 * [backup-simplify]: Simplify 1 into 1 11.446 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.447 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 11.447 * [backup-simplify]: Simplify 0 into 0 11.447 * [backup-simplify]: Simplify 0 into 0 11.447 * [backup-simplify]: Simplify 0 into 0 11.447 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.448 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 11.448 * [backup-simplify]: Simplify (+ 0 0) into 0 11.448 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 11.448 * [taylor]: Taking taylor expansion of 0 in im 11.448 * [backup-simplify]: Simplify 0 into 0 11.448 * [backup-simplify]: Simplify 0 into 0 11.449 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.449 * [backup-simplify]: Simplify 0 into 0 11.449 * [backup-simplify]: Simplify 0 into 0 11.449 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 11.449 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 11.449 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 11.449 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 11.449 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 11.449 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.449 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.449 * [taylor]: Taking taylor expansion of im in im 11.449 * [backup-simplify]: Simplify 0 into 0 11.449 * [backup-simplify]: Simplify 1 into 1 11.449 * [backup-simplify]: Simplify (* 1 1) into 1 11.449 * [backup-simplify]: Simplify (/ 1 1) into 1 11.450 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 11.450 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.450 * [taylor]: Taking taylor expansion of re in im 11.450 * [backup-simplify]: Simplify re into re 11.450 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.450 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 11.450 * [backup-simplify]: Simplify (+ 1 0) into 1 11.450 * [backup-simplify]: Simplify (sqrt 1) into 1 11.451 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.451 * [backup-simplify]: Simplify (+ 0 0) into 0 11.452 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.452 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 11.452 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 11.452 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.452 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.452 * [taylor]: Taking taylor expansion of im in re 11.452 * [backup-simplify]: Simplify im into im 11.452 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.452 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.452 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.452 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.452 * [taylor]: Taking taylor expansion of re in re 11.452 * [backup-simplify]: Simplify 0 into 0 11.452 * [backup-simplify]: Simplify 1 into 1 11.452 * [backup-simplify]: Simplify (* 1 1) into 1 11.453 * [backup-simplify]: Simplify (/ 1 1) into 1 11.453 * [backup-simplify]: Simplify (+ 0 1) into 1 11.453 * [backup-simplify]: Simplify (sqrt 1) into 1 11.454 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.454 * [backup-simplify]: Simplify (+ 0 0) into 0 11.455 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.455 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 11.455 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 11.455 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.455 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.455 * [taylor]: Taking taylor expansion of im in re 11.455 * [backup-simplify]: Simplify im into im 11.455 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.455 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.455 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.455 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.455 * [taylor]: Taking taylor expansion of re in re 11.455 * [backup-simplify]: Simplify 0 into 0 11.455 * [backup-simplify]: Simplify 1 into 1 11.455 * [backup-simplify]: Simplify (* 1 1) into 1 11.455 * [backup-simplify]: Simplify (/ 1 1) into 1 11.456 * [backup-simplify]: Simplify (+ 0 1) into 1 11.456 * [backup-simplify]: Simplify (sqrt 1) into 1 11.456 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.457 * [backup-simplify]: Simplify (+ 0 0) into 0 11.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.457 * [taylor]: Taking taylor expansion of 1 in im 11.457 * [backup-simplify]: Simplify 1 into 1 11.458 * [taylor]: Taking taylor expansion of 0 in im 11.458 * [backup-simplify]: Simplify 0 into 0 11.458 * [backup-simplify]: Simplify 1 into 1 11.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.459 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 11.460 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 11.460 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 11.460 * [taylor]: Taking taylor expansion of 1/2 in im 11.460 * [backup-simplify]: Simplify 1/2 into 1/2 11.460 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.460 * [taylor]: Taking taylor expansion of im in im 11.460 * [backup-simplify]: Simplify 0 into 0 11.460 * [backup-simplify]: Simplify 1 into 1 11.460 * [backup-simplify]: Simplify (* 1 1) into 1 11.460 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.461 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.461 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 11.461 * [backup-simplify]: Simplify 0 into 0 11.461 * [backup-simplify]: Simplify 0 into 0 11.461 * [backup-simplify]: Simplify 0 into 0 11.462 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.462 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 11.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.464 * [backup-simplify]: Simplify (+ 0 0) into 0 11.465 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 11.465 * [taylor]: Taking taylor expansion of 0 in im 11.465 * [backup-simplify]: Simplify 0 into 0 11.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.467 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.467 * [backup-simplify]: Simplify 0 into 0 11.467 * [backup-simplify]: Simplify 0 into 0 11.467 * [backup-simplify]: Simplify 0 into 0 11.467 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 11.468 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 11.468 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 11.468 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 11.468 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 11.468 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.468 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.468 * [taylor]: Taking taylor expansion of im in im 11.468 * [backup-simplify]: Simplify 0 into 0 11.468 * [backup-simplify]: Simplify 1 into 1 11.468 * [backup-simplify]: Simplify (* 1 1) into 1 11.469 * [backup-simplify]: Simplify (/ 1 1) into 1 11.469 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 11.469 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.469 * [taylor]: Taking taylor expansion of re in im 11.469 * [backup-simplify]: Simplify re into re 11.469 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.469 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 11.470 * [backup-simplify]: Simplify (+ 1 0) into 1 11.470 * [backup-simplify]: Simplify (sqrt 1) into 1 11.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.472 * [backup-simplify]: Simplify (+ 0 0) into 0 11.473 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.473 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 11.473 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 11.473 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.473 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.473 * [taylor]: Taking taylor expansion of im in re 11.473 * [backup-simplify]: Simplify im into im 11.473 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.473 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.473 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.473 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.473 * [taylor]: Taking taylor expansion of re in re 11.473 * [backup-simplify]: Simplify 0 into 0 11.473 * [backup-simplify]: Simplify 1 into 1 11.474 * [backup-simplify]: Simplify (* 1 1) into 1 11.474 * [backup-simplify]: Simplify (/ 1 1) into 1 11.474 * [backup-simplify]: Simplify (+ 0 1) into 1 11.475 * [backup-simplify]: Simplify (sqrt 1) into 1 11.475 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.477 * [backup-simplify]: Simplify (+ 0 0) into 0 11.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.477 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 11.478 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 11.478 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.478 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.478 * [taylor]: Taking taylor expansion of im in re 11.478 * [backup-simplify]: Simplify im into im 11.478 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.478 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.478 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.478 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.478 * [taylor]: Taking taylor expansion of re in re 11.478 * [backup-simplify]: Simplify 0 into 0 11.478 * [backup-simplify]: Simplify 1 into 1 11.479 * [backup-simplify]: Simplify (* 1 1) into 1 11.479 * [backup-simplify]: Simplify (/ 1 1) into 1 11.480 * [backup-simplify]: Simplify (+ 0 1) into 1 11.480 * [backup-simplify]: Simplify (sqrt 1) into 1 11.481 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.482 * [backup-simplify]: Simplify (+ 0 0) into 0 11.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.483 * [taylor]: Taking taylor expansion of 1 in im 11.483 * [backup-simplify]: Simplify 1 into 1 11.483 * [taylor]: Taking taylor expansion of 0 in im 11.483 * [backup-simplify]: Simplify 0 into 0 11.483 * [backup-simplify]: Simplify 1 into 1 11.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.485 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 11.486 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 11.487 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 11.487 * [taylor]: Taking taylor expansion of 1/2 in im 11.487 * [backup-simplify]: Simplify 1/2 into 1/2 11.487 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.487 * [taylor]: Taking taylor expansion of im in im 11.487 * [backup-simplify]: Simplify 0 into 0 11.487 * [backup-simplify]: Simplify 1 into 1 11.487 * [backup-simplify]: Simplify (* 1 1) into 1 11.488 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.489 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.490 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 11.490 * [backup-simplify]: Simplify 0 into 0 11.490 * [backup-simplify]: Simplify 0 into 0 11.490 * [backup-simplify]: Simplify 0 into 0 11.490 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.490 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 11.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.493 * [backup-simplify]: Simplify (+ 0 0) into 0 11.494 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 11.494 * [taylor]: Taking taylor expansion of 0 in im 11.494 * [backup-simplify]: Simplify 0 into 0 11.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.496 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.496 * [backup-simplify]: Simplify 0 into 0 11.496 * [backup-simplify]: Simplify 0 into 0 11.496 * [backup-simplify]: Simplify 0 into 0 11.496 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 11.496 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1) 11.496 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2)))) 11.496 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 11.496 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 11.497 * [taylor]: Taking taylor expansion of re in im 11.497 * [backup-simplify]: Simplify re into re 11.497 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 11.497 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 11.497 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.497 * [taylor]: Taking taylor expansion of re in im 11.497 * [backup-simplify]: Simplify re into re 11.497 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.497 * [taylor]: Taking taylor expansion of im in im 11.497 * [backup-simplify]: Simplify 0 into 0 11.497 * [backup-simplify]: Simplify 1 into 1 11.497 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.497 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 11.497 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 11.497 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 11.497 * [backup-simplify]: Simplify (+ 0 0) into 0 11.498 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 11.498 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 11.498 * [taylor]: Taking taylor expansion of re in re 11.498 * [backup-simplify]: Simplify 0 into 0 11.498 * [backup-simplify]: Simplify 1 into 1 11.498 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 11.498 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 11.498 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.498 * [taylor]: Taking taylor expansion of re in re 11.498 * [backup-simplify]: Simplify 0 into 0 11.498 * [backup-simplify]: Simplify 1 into 1 11.498 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.498 * [taylor]: Taking taylor expansion of im in re 11.498 * [backup-simplify]: Simplify im into im 11.498 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.498 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 11.498 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 11.498 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.498 * [backup-simplify]: Simplify (+ 0 0) into 0 11.498 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 11.498 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 11.499 * [taylor]: Taking taylor expansion of re in re 11.499 * [backup-simplify]: Simplify 0 into 0 11.499 * [backup-simplify]: Simplify 1 into 1 11.499 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 11.499 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 11.499 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.499 * [taylor]: Taking taylor expansion of re in re 11.499 * [backup-simplify]: Simplify 0 into 0 11.499 * [backup-simplify]: Simplify 1 into 1 11.499 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.499 * [taylor]: Taking taylor expansion of im in re 11.499 * [backup-simplify]: Simplify im into im 11.499 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.499 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 11.499 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 11.499 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.499 * [backup-simplify]: Simplify (+ 0 0) into 0 11.499 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 11.499 * [backup-simplify]: Simplify (+ 0 im) into im 11.499 * [taylor]: Taking taylor expansion of im in im 11.499 * [backup-simplify]: Simplify 0 into 0 11.499 * [backup-simplify]: Simplify 1 into 1 11.500 * [backup-simplify]: Simplify 0 into 0 11.500 * [backup-simplify]: Simplify (+ 1 0) into 1 11.500 * [taylor]: Taking taylor expansion of 1 in im 11.500 * [backup-simplify]: Simplify 1 into 1 11.500 * [backup-simplify]: Simplify 1 into 1 11.500 * [backup-simplify]: Simplify 1 into 1 11.500 * [backup-simplify]: Simplify (* 1 1) into 1 11.500 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 11.501 * [backup-simplify]: Simplify (+ 1 0) into 1 11.501 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 11.501 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 11.501 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 11.501 * [taylor]: Taking taylor expansion of 1/2 in im 11.501 * [backup-simplify]: Simplify 1/2 into 1/2 11.501 * [taylor]: Taking taylor expansion of (/ 1 im) in im 11.501 * [taylor]: Taking taylor expansion of im in im 11.501 * [backup-simplify]: Simplify 0 into 0 11.501 * [backup-simplify]: Simplify 1 into 1 11.502 * [backup-simplify]: Simplify (/ 1 1) into 1 11.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.502 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.502 * [backup-simplify]: Simplify 0 into 0 11.503 * [backup-simplify]: Simplify 0 into 0 11.503 * [backup-simplify]: Simplify 0 into 0 11.503 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.503 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 11.504 * [backup-simplify]: Simplify (+ 0 0) into 0 11.504 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 11.504 * [backup-simplify]: Simplify (+ 0 0) into 0 11.504 * [taylor]: Taking taylor expansion of 0 in im 11.504 * [backup-simplify]: Simplify 0 into 0 11.504 * [backup-simplify]: Simplify 0 into 0 11.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.505 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 11.505 * [backup-simplify]: Simplify 0 into 0 11.505 * [backup-simplify]: Simplify 0 into 0 11.505 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 11.506 * [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))))) 11.506 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 11.506 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 11.506 * [taylor]: Taking taylor expansion of (/ 1 re) in im 11.506 * [taylor]: Taking taylor expansion of re in im 11.506 * [backup-simplify]: Simplify re into re 11.506 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 11.506 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 11.506 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 11.506 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.506 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.506 * [taylor]: Taking taylor expansion of im in im 11.506 * [backup-simplify]: Simplify 0 into 0 11.506 * [backup-simplify]: Simplify 1 into 1 11.506 * [backup-simplify]: Simplify (* 1 1) into 1 11.506 * [backup-simplify]: Simplify (/ 1 1) into 1 11.506 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 11.506 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.506 * [taylor]: Taking taylor expansion of re in im 11.506 * [backup-simplify]: Simplify re into re 11.506 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.507 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 11.507 * [backup-simplify]: Simplify (+ 1 0) into 1 11.507 * [backup-simplify]: Simplify (sqrt 1) into 1 11.507 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.508 * [backup-simplify]: Simplify (+ 0 0) into 0 11.509 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.509 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 11.509 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.509 * [taylor]: Taking taylor expansion of re in re 11.509 * [backup-simplify]: Simplify 0 into 0 11.509 * [backup-simplify]: Simplify 1 into 1 11.509 * [backup-simplify]: Simplify (/ 1 1) into 1 11.509 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 11.509 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 11.509 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.509 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.509 * [taylor]: Taking taylor expansion of im in re 11.509 * [backup-simplify]: Simplify im into im 11.509 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.509 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.509 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.509 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.509 * [taylor]: Taking taylor expansion of re in re 11.509 * [backup-simplify]: Simplify 0 into 0 11.509 * [backup-simplify]: Simplify 1 into 1 11.510 * [backup-simplify]: Simplify (* 1 1) into 1 11.510 * [backup-simplify]: Simplify (/ 1 1) into 1 11.510 * [backup-simplify]: Simplify (+ 0 1) into 1 11.510 * [backup-simplify]: Simplify (sqrt 1) into 1 11.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.511 * [backup-simplify]: Simplify (+ 0 0) into 0 11.512 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.512 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 11.512 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.512 * [taylor]: Taking taylor expansion of re in re 11.512 * [backup-simplify]: Simplify 0 into 0 11.512 * [backup-simplify]: Simplify 1 into 1 11.512 * [backup-simplify]: Simplify (/ 1 1) into 1 11.512 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 11.512 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 11.512 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.512 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.512 * [taylor]: Taking taylor expansion of im in re 11.512 * [backup-simplify]: Simplify im into im 11.512 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.512 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.512 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.512 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.512 * [taylor]: Taking taylor expansion of re in re 11.512 * [backup-simplify]: Simplify 0 into 0 11.512 * [backup-simplify]: Simplify 1 into 1 11.513 * [backup-simplify]: Simplify (* 1 1) into 1 11.513 * [backup-simplify]: Simplify (/ 1 1) into 1 11.513 * [backup-simplify]: Simplify (+ 0 1) into 1 11.513 * [backup-simplify]: Simplify (sqrt 1) into 1 11.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.514 * [backup-simplify]: Simplify (+ 0 0) into 0 11.515 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.515 * [backup-simplify]: Simplify (+ 1 1) into 2 11.515 * [taylor]: Taking taylor expansion of 2 in im 11.515 * [backup-simplify]: Simplify 2 into 2 11.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.516 * [backup-simplify]: Simplify (+ 0 0) into 0 11.516 * [taylor]: Taking taylor expansion of 0 in im 11.516 * [backup-simplify]: Simplify 0 into 0 11.516 * [backup-simplify]: Simplify 2 into 2 11.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.523 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 11.524 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 11.524 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 11.524 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 11.524 * [taylor]: Taking taylor expansion of 1/2 in im 11.524 * [backup-simplify]: Simplify 1/2 into 1/2 11.524 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.524 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.524 * [taylor]: Taking taylor expansion of im in im 11.524 * [backup-simplify]: Simplify 0 into 0 11.524 * [backup-simplify]: Simplify 1 into 1 11.524 * [backup-simplify]: Simplify (* 1 1) into 1 11.525 * [backup-simplify]: Simplify (/ 1 1) into 1 11.525 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.527 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.527 * [backup-simplify]: Simplify 0 into 0 11.527 * [backup-simplify]: Simplify 0 into 0 11.527 * [backup-simplify]: Simplify 0 into 0 11.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.528 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.528 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 11.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.532 * [backup-simplify]: Simplify (+ 0 0) into 0 11.533 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 11.533 * [backup-simplify]: Simplify (+ 0 0) into 0 11.533 * [taylor]: Taking taylor expansion of 0 in im 11.533 * [backup-simplify]: Simplify 0 into 0 11.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.535 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 11.535 * [backup-simplify]: Simplify 0 into 0 11.535 * [backup-simplify]: Simplify 0 into 0 11.535 * [backup-simplify]: Simplify 0 into 0 11.535 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 11.535 * [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)) 11.535 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 11.535 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 11.535 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 11.535 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 11.535 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.535 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.535 * [taylor]: Taking taylor expansion of im in im 11.535 * [backup-simplify]: Simplify 0 into 0 11.535 * [backup-simplify]: Simplify 1 into 1 11.536 * [backup-simplify]: Simplify (* 1 1) into 1 11.536 * [backup-simplify]: Simplify (/ 1 1) into 1 11.536 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 11.536 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.536 * [taylor]: Taking taylor expansion of re in im 11.536 * [backup-simplify]: Simplify re into re 11.536 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.536 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 11.536 * [backup-simplify]: Simplify (+ 1 0) into 1 11.537 * [backup-simplify]: Simplify (sqrt 1) into 1 11.537 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.538 * [backup-simplify]: Simplify (+ 0 0) into 0 11.538 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.538 * [taylor]: Taking taylor expansion of (/ 1 re) in im 11.538 * [taylor]: Taking taylor expansion of re in im 11.538 * [backup-simplify]: Simplify re into re 11.538 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 11.538 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 11.538 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 11.538 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 11.538 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.538 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.538 * [taylor]: Taking taylor expansion of im in re 11.538 * [backup-simplify]: Simplify im into im 11.538 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.539 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.539 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.539 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.539 * [taylor]: Taking taylor expansion of re in re 11.539 * [backup-simplify]: Simplify 0 into 0 11.539 * [backup-simplify]: Simplify 1 into 1 11.539 * [backup-simplify]: Simplify (* 1 1) into 1 11.539 * [backup-simplify]: Simplify (/ 1 1) into 1 11.539 * [backup-simplify]: Simplify (+ 0 1) into 1 11.540 * [backup-simplify]: Simplify (sqrt 1) into 1 11.540 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.541 * [backup-simplify]: Simplify (+ 0 0) into 0 11.541 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.541 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.541 * [taylor]: Taking taylor expansion of re in re 11.541 * [backup-simplify]: Simplify 0 into 0 11.541 * [backup-simplify]: Simplify 1 into 1 11.541 * [backup-simplify]: Simplify (/ 1 1) into 1 11.541 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 11.541 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 11.541 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 11.541 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.541 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.541 * [taylor]: Taking taylor expansion of im in re 11.542 * [backup-simplify]: Simplify im into im 11.542 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.542 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.542 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.542 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.542 * [taylor]: Taking taylor expansion of re in re 11.542 * [backup-simplify]: Simplify 0 into 0 11.542 * [backup-simplify]: Simplify 1 into 1 11.542 * [backup-simplify]: Simplify (* 1 1) into 1 11.542 * [backup-simplify]: Simplify (/ 1 1) into 1 11.543 * [backup-simplify]: Simplify (+ 0 1) into 1 11.543 * [backup-simplify]: Simplify (sqrt 1) into 1 11.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.544 * [backup-simplify]: Simplify (+ 0 0) into 0 11.544 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.544 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.544 * [taylor]: Taking taylor expansion of re in re 11.544 * [backup-simplify]: Simplify 0 into 0 11.544 * [backup-simplify]: Simplify 1 into 1 11.545 * [backup-simplify]: Simplify (/ 1 1) into 1 11.545 * [backup-simplify]: Simplify (- 1) into -1 11.545 * [backup-simplify]: Simplify (+ 1 -1) into 0 11.545 * [taylor]: Taking taylor expansion of 0 in im 11.545 * [backup-simplify]: Simplify 0 into 0 11.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.546 * [backup-simplify]: Simplify (- 0) into 0 11.546 * [backup-simplify]: Simplify (+ 0 0) into 0 11.546 * [taylor]: Taking taylor expansion of 0 in im 11.546 * [backup-simplify]: Simplify 0 into 0 11.546 * [backup-simplify]: Simplify 0 into 0 11.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.548 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 11.549 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 11.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.549 * [backup-simplify]: Simplify (- 0) into 0 11.550 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 11.550 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 11.550 * [taylor]: Taking taylor expansion of 1/2 in im 11.550 * [backup-simplify]: Simplify 1/2 into 1/2 11.550 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.550 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.550 * [taylor]: Taking taylor expansion of im in im 11.550 * [backup-simplify]: Simplify 0 into 0 11.550 * [backup-simplify]: Simplify 1 into 1 11.550 * [backup-simplify]: Simplify (* 1 1) into 1 11.550 * [backup-simplify]: Simplify (/ 1 1) into 1 11.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.551 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.551 * [backup-simplify]: Simplify 0 into 0 11.551 * [backup-simplify]: Simplify 0 into 0 11.552 * [backup-simplify]: Simplify 0 into 0 11.552 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.552 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 11.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.553 * [backup-simplify]: Simplify (+ 0 0) into 0 11.554 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 11.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.554 * [backup-simplify]: Simplify (- 0) into 0 11.555 * [backup-simplify]: Simplify (+ 0 0) into 0 11.555 * [taylor]: Taking taylor expansion of 0 in im 11.555 * [backup-simplify]: Simplify 0 into 0 11.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.556 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 11.556 * [backup-simplify]: Simplify 0 into 0 11.556 * [backup-simplify]: Simplify 0 into 0 11.556 * [backup-simplify]: Simplify 0 into 0 11.556 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 11.557 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) into (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) 11.557 * [approximate]: Taking taylor expansion of (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in (im re) around 0 11.557 * [taylor]: Taking taylor expansion of (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in re 11.557 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in re 11.557 * [taylor]: Taking taylor expansion of (fabs im) in re 11.558 * [backup-simplify]: Simplify (fabs im) into (fabs im) 11.558 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 11.558 * [taylor]: Taking taylor expansion of 2.0 in re 11.558 * [backup-simplify]: Simplify 2.0 into 2.0 11.559 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.559 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.559 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 11.559 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 11.559 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 11.559 * [taylor]: Taking taylor expansion of re in re 11.559 * [backup-simplify]: Simplify 0 into 0 11.559 * [backup-simplify]: Simplify 1 into 1 11.559 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 11.559 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 11.559 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.559 * [taylor]: Taking taylor expansion of re in re 11.559 * [backup-simplify]: Simplify 0 into 0 11.559 * [backup-simplify]: Simplify 1 into 1 11.559 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.559 * [taylor]: Taking taylor expansion of im in re 11.559 * [backup-simplify]: Simplify im into im 11.559 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.559 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 11.560 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 11.560 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.560 * [backup-simplify]: Simplify (+ 0 0) into 0 11.560 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 11.560 * [backup-simplify]: Simplify (+ 0 im) into im 11.560 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 11.560 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im)) 11.560 * [backup-simplify]: Simplify (+ 1 0) into 1 11.560 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 1 im)))) into (- (/ 1 (pow im 2))) 11.561 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2))) (* 2 (sqrt (/ 1 im)))) into (* -1/2 (sqrt (/ 1 (pow im 3)))) 11.561 * [taylor]: Taking taylor expansion of (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 11.561 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in im 11.561 * [taylor]: Taking taylor expansion of (fabs im) in im 11.561 * [backup-simplify]: Simplify (fabs im) into (fabs im) 11.561 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 11.561 * [taylor]: Taking taylor expansion of 2.0 in im 11.561 * [backup-simplify]: Simplify 2.0 into 2.0 11.561 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.561 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.562 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 11.562 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 11.562 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 11.562 * [taylor]: Taking taylor expansion of re in im 11.562 * [backup-simplify]: Simplify re into re 11.562 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 11.562 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 11.562 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.562 * [taylor]: Taking taylor expansion of re in im 11.562 * [backup-simplify]: Simplify re into re 11.562 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.562 * [taylor]: Taking taylor expansion of im in im 11.562 * [backup-simplify]: Simplify 0 into 0 11.562 * [backup-simplify]: Simplify 1 into 1 11.562 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.562 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 11.562 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 11.562 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 11.562 * [backup-simplify]: Simplify (+ 0 0) into 0 11.562 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 11.562 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 11.562 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 11.563 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 11.563 * [backup-simplify]: Simplify (+ 0 0) into 0 11.563 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 11.563 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 11.563 * [taylor]: Taking taylor expansion of (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 11.563 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in im 11.563 * [taylor]: Taking taylor expansion of (fabs im) in im 11.563 * [backup-simplify]: Simplify (fabs im) into (fabs im) 11.563 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 11.563 * [taylor]: Taking taylor expansion of 2.0 in im 11.563 * [backup-simplify]: Simplify 2.0 into 2.0 11.563 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.564 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.564 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 11.564 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 11.564 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 11.564 * [taylor]: Taking taylor expansion of re in im 11.564 * [backup-simplify]: Simplify re into re 11.564 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 11.564 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 11.564 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.564 * [taylor]: Taking taylor expansion of re in im 11.564 * [backup-simplify]: Simplify re into re 11.564 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.564 * [taylor]: Taking taylor expansion of im in im 11.564 * [backup-simplify]: Simplify 0 into 0 11.564 * [backup-simplify]: Simplify 1 into 1 11.564 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.564 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 11.564 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 11.564 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 11.565 * [backup-simplify]: Simplify (+ 0 0) into 0 11.565 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 11.565 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 11.565 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 11.565 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 11.565 * [backup-simplify]: Simplify (+ 0 0) into 0 11.565 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 11.566 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 11.566 * [backup-simplify]: Simplify (* (fabs im) (sqrt 2.0)) into (* (fabs im) (sqrt 2.0)) 11.567 * [backup-simplify]: Simplify (* (* (fabs im) (sqrt 2.0)) (* (sqrt (/ 1 re)) (sqrt 1/2))) into (* (* (fabs im) (* (sqrt 2.0) (sqrt 1/2))) (sqrt (/ 1 re))) 11.567 * [taylor]: Taking taylor expansion of (* (* (fabs im) (* (sqrt 2.0) (sqrt 1/2))) (sqrt (/ 1 re))) in re 11.567 * [taylor]: Taking taylor expansion of (* (fabs im) (* (sqrt 2.0) (sqrt 1/2))) in re 11.567 * [taylor]: Taking taylor expansion of (fabs im) in re 11.567 * [backup-simplify]: Simplify (fabs im) into (fabs im) 11.567 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 1/2)) in re 11.567 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 11.567 * [taylor]: Taking taylor expansion of 2.0 in re 11.567 * [backup-simplify]: Simplify 2.0 into 2.0 11.568 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.568 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.569 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 11.569 * [taylor]: Taking taylor expansion of 1/2 in re 11.569 * [backup-simplify]: Simplify 1/2 into 1/2 11.569 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 11.570 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 11.570 * [taylor]: Taking taylor expansion of (sqrt (/ 1 re)) in re 11.570 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.570 * [taylor]: Taking taylor expansion of re in re 11.570 * [backup-simplify]: Simplify 0 into 0 11.570 * [backup-simplify]: Simplify 1 into 1 11.570 * [backup-simplify]: Simplify (/ 1 1) into 1 11.571 * [backup-simplify]: Simplify (sqrt 0) into 0 11.572 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.574 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 1/2)) into (* (sqrt 2.0) (sqrt 1/2)) 11.575 * [backup-simplify]: Simplify (* (fabs im) (* (sqrt 2.0) (sqrt 1/2))) into (* (fabs im) (* (sqrt 2.0) (sqrt 1/2))) 11.576 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 1/2))) into 0 11.577 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (* 0 (* (sqrt 2.0) (sqrt 1/2)))) into 0 11.579 * [backup-simplify]: Simplify (+ (* (* (fabs im) (* (sqrt 2.0) (sqrt 1/2))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 1/2))))) 11.580 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 1/2))))) into (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 1/2))))) 11.581 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (* 0 (sqrt 2.0))) into 0 11.582 * [backup-simplify]: Simplify (+ (* (* (fabs im) (sqrt 2.0)) 0) (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2)))) into 0 11.582 * [taylor]: Taking taylor expansion of 0 in re 11.582 * [backup-simplify]: Simplify 0 into 0 11.582 * [backup-simplify]: Simplify 0 into 0 11.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.586 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.587 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 11.589 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 11.590 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 11.591 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (* 0 (* (sqrt 2.0) (sqrt 1/2))))) into 0 11.593 * [backup-simplify]: Simplify (+ (* (* (fabs im) (* (sqrt 2.0) (sqrt 1/2))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 1/2))))) 11.595 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 1/2))))) into (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 1/2))))) 11.596 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 11.596 * [backup-simplify]: Simplify (* 1 1) into 1 11.596 * [backup-simplify]: Simplify (+ 0 1) into 1 11.597 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 11.597 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re)) 11.598 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ (* 1/2 (/ 1 re)) (* 2 re))) (* 0 (/ 0 (* 2 re))))) into (- (* 1/8 (/ 1 (pow re 3)))) 11.599 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow re 3)))) (pow 0 2) (+)) (* 2 (* (sqrt (/ 1 re)) (sqrt 1/2)))) into (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2)))) 11.600 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 11.601 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 11.604 * [backup-simplify]: Simplify (+ (* (* (fabs im) (sqrt 2.0)) (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2))))) (+ (* 0 0) (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2))))) into (- (* 1/16 (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) 11.604 * [taylor]: Taking taylor expansion of (- (* 1/16 (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) in re 11.604 * [taylor]: Taking taylor expansion of (* 1/16 (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) (sqrt (/ 1 (pow re 5))))) in re 11.604 * [taylor]: Taking taylor expansion of 1/16 in re 11.604 * [backup-simplify]: Simplify 1/16 into 1/16 11.604 * [taylor]: Taking taylor expansion of (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))) in re 11.604 * [taylor]: Taking taylor expansion of (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) in re 11.604 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in re 11.604 * [taylor]: Taking taylor expansion of (fabs im) in re 11.604 * [backup-simplify]: Simplify (fabs im) into (fabs im) 11.604 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 11.604 * [taylor]: Taking taylor expansion of 2.0 in re 11.604 * [backup-simplify]: Simplify 2.0 into 2.0 11.605 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.606 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.606 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 11.606 * [taylor]: Taking taylor expansion of 1/2 in re 11.606 * [backup-simplify]: Simplify 1/2 into 1/2 11.606 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 11.607 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 11.607 * [backup-simplify]: Simplify (* (fabs im) (sqrt 2.0)) into (* (fabs im) (sqrt 2.0)) 11.608 * [backup-simplify]: Simplify (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) into (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) 11.608 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 5))) in re 11.609 * [taylor]: Taking taylor expansion of (/ 1 (pow re 5)) in re 11.609 * [taylor]: Taking taylor expansion of (pow re 5) in re 11.609 * [taylor]: Taking taylor expansion of re in re 11.609 * [backup-simplify]: Simplify 0 into 0 11.609 * [backup-simplify]: Simplify 1 into 1 11.609 * [backup-simplify]: Simplify (* 1 1) into 1 11.609 * [backup-simplify]: Simplify (* 1 1) into 1 11.610 * [backup-simplify]: Simplify (* 1 1) into 1 11.610 * [backup-simplify]: Simplify (/ 1 1) into 1 11.610 * [backup-simplify]: Simplify (sqrt 0) into 0 11.612 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.614 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.615 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.617 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.620 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.622 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.622 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (* 0 (sqrt 2.0))) into 0 11.624 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) (/ 0 (sqrt 1/2))))) into 0 11.624 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 11.625 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 11.626 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 11.627 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0 11.628 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 11.628 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 11.629 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 11.631 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0 11.632 * [backup-simplify]: Simplify (+ (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)))) 11.633 * [backup-simplify]: Simplify (+ (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)))) 11.634 * [backup-simplify]: Simplify (+ (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)))) 11.634 * [backup-simplify]: Simplify (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)) 0) into 0 11.643 * [backup-simplify]: Simplify (+ (* 1/16 (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2))))) (+ (* 0 (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2))))) (+ (* 0 (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2))))) (* 0 0)))) into (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)))) 11.644 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2))))) into (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)))) 11.644 * [backup-simplify]: Simplify (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)))) into (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)))) 11.647 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 1/2)))) (pow (* 1 im) 2)) (+ (* (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 1/2))))) (* re 1)) (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 1/2))))))) into (- (+ (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) (pow im 2))) (sqrt 1/2))) (- (+ (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 1/2)))) (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (* (sqrt 1/2) re))))))))) 11.648 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ (fabs (/ 1 im)) (sqrt (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))))) into (* (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) 11.648 * [approximate]: Taking taylor expansion of (* (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in (im re) around 0 11.648 * [taylor]: Taking taylor expansion of (* (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re 11.648 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re 11.648 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 11.648 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 11.648 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 11.648 * [taylor]: Taking taylor expansion of 2.0 in re 11.648 * [backup-simplify]: Simplify 2.0 into 2.0 11.648 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.649 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.649 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 11.649 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 11.649 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 11.649 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.649 * [taylor]: Taking taylor expansion of re in re 11.649 * [backup-simplify]: Simplify 0 into 0 11.649 * [backup-simplify]: Simplify 1 into 1 11.649 * [backup-simplify]: Simplify (/ 1 1) into 1 11.649 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 11.649 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 11.649 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.649 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.649 * [taylor]: Taking taylor expansion of im in re 11.649 * [backup-simplify]: Simplify im into im 11.649 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.649 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.649 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.649 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.649 * [taylor]: Taking taylor expansion of re in re 11.649 * [backup-simplify]: Simplify 0 into 0 11.649 * [backup-simplify]: Simplify 1 into 1 11.650 * [backup-simplify]: Simplify (* 1 1) into 1 11.650 * [backup-simplify]: Simplify (/ 1 1) into 1 11.650 * [backup-simplify]: Simplify (+ 0 1) into 1 11.650 * [backup-simplify]: Simplify (sqrt 1) into 1 11.651 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.651 * [backup-simplify]: Simplify (+ 0 0) into 0 11.652 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.652 * [backup-simplify]: Simplify (+ 1 1) into 2 11.652 * [backup-simplify]: Simplify (/ 1 2) into 1/2 11.653 * [backup-simplify]: Simplify (sqrt 0) into 0 11.654 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0 11.654 * [taylor]: Taking taylor expansion of (* (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 11.654 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in im 11.654 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im 11.654 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 11.654 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 11.654 * [taylor]: Taking taylor expansion of 2.0 in im 11.654 * [backup-simplify]: Simplify 2.0 into 2.0 11.655 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.655 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.655 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 11.655 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 11.655 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 11.655 * [taylor]: Taking taylor expansion of (/ 1 re) in im 11.655 * [taylor]: Taking taylor expansion of re in im 11.655 * [backup-simplify]: Simplify re into re 11.656 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 11.656 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 11.656 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 11.656 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.656 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.656 * [taylor]: Taking taylor expansion of im in im 11.656 * [backup-simplify]: Simplify 0 into 0 11.656 * [backup-simplify]: Simplify 1 into 1 11.656 * [backup-simplify]: Simplify (* 1 1) into 1 11.657 * [backup-simplify]: Simplify (/ 1 1) into 1 11.657 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 11.657 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.657 * [taylor]: Taking taylor expansion of re in im 11.657 * [backup-simplify]: Simplify re into re 11.657 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.657 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 11.657 * [backup-simplify]: Simplify (+ 1 0) into 1 11.658 * [backup-simplify]: Simplify (sqrt 1) into 1 11.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.660 * [backup-simplify]: Simplify (+ 0 0) into 0 11.660 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.661 * [backup-simplify]: Simplify (+ 0 1) into 1 11.661 * [backup-simplify]: Simplify (/ 1 1) into 1 11.661 * [backup-simplify]: Simplify (sqrt 0) into 0 11.662 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.662 * [taylor]: Taking taylor expansion of (* (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 11.662 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in im 11.662 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im 11.662 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 11.662 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 11.662 * [taylor]: Taking taylor expansion of 2.0 in im 11.662 * [backup-simplify]: Simplify 2.0 into 2.0 11.663 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.663 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.663 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 11.663 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 11.663 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 11.663 * [taylor]: Taking taylor expansion of (/ 1 re) in im 11.663 * [taylor]: Taking taylor expansion of re in im 11.663 * [backup-simplify]: Simplify re into re 11.663 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 11.663 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 11.663 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 11.663 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.663 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.663 * [taylor]: Taking taylor expansion of im in im 11.663 * [backup-simplify]: Simplify 0 into 0 11.663 * [backup-simplify]: Simplify 1 into 1 11.663 * [backup-simplify]: Simplify (* 1 1) into 1 11.664 * [backup-simplify]: Simplify (/ 1 1) into 1 11.664 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 11.664 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.664 * [taylor]: Taking taylor expansion of re in im 11.664 * [backup-simplify]: Simplify re into re 11.664 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.664 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 11.664 * [backup-simplify]: Simplify (+ 1 0) into 1 11.665 * [backup-simplify]: Simplify (sqrt 1) into 1 11.665 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.666 * [backup-simplify]: Simplify (+ 0 0) into 0 11.666 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.666 * [backup-simplify]: Simplify (+ 0 1) into 1 11.666 * [backup-simplify]: Simplify (/ 1 1) into 1 11.667 * [backup-simplify]: Simplify (sqrt 0) into 0 11.667 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.668 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0)) 11.668 * [backup-simplify]: Simplify (* (* (fabs (/ 1 im)) (sqrt 2.0)) 0) into 0 11.668 * [taylor]: Taking taylor expansion of 0 in re 11.668 * [backup-simplify]: Simplify 0 into 0 11.668 * [backup-simplify]: Simplify 0 into 0 11.669 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (* 0 (sqrt 2.0))) into 0 11.669 * [backup-simplify]: Simplify (+ (* (* (fabs (/ 1 im)) (sqrt 2.0)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 11.669 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) in re 11.669 * [taylor]: Taking taylor expansion of (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) in re 11.669 * [taylor]: Taking taylor expansion of +nan.0 in re 11.669 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.669 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re 11.669 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 11.670 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 11.670 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 11.670 * [taylor]: Taking taylor expansion of 2.0 in re 11.670 * [backup-simplify]: Simplify 2.0 into 2.0 11.670 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.670 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.671 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0)) 11.671 * [backup-simplify]: Simplify (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) into (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) 11.671 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 11.672 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 11.672 * [backup-simplify]: Simplify 0 into 0 11.672 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 11.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 11.673 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0))) 11.673 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 11.674 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 11.675 * [backup-simplify]: Simplify (+ (* (* (fabs (/ 1 im)) (sqrt 2.0)) (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))))) 11.675 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))))) in re 11.675 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)))) in re 11.675 * [taylor]: Taking taylor expansion of (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) in re 11.675 * [taylor]: Taking taylor expansion of +nan.0 in re 11.675 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.675 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re 11.675 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 11.675 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 11.675 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 11.675 * [taylor]: Taking taylor expansion of 2.0 in re 11.675 * [backup-simplify]: Simplify 2.0 into 2.0 11.675 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.676 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.676 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))) in re 11.676 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)) in re 11.676 * [taylor]: Taking taylor expansion of +nan.0 in re 11.676 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.676 * [taylor]: Taking taylor expansion of (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re) in re 11.676 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re 11.676 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 11.676 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 11.676 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 11.676 * [taylor]: Taking taylor expansion of 2.0 in re 11.676 * [backup-simplify]: Simplify 2.0 into 2.0 11.676 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.677 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.677 * [taylor]: Taking taylor expansion of re in re 11.677 * [backup-simplify]: Simplify 0 into 0 11.677 * [backup-simplify]: Simplify 1 into 1 11.677 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0)) 11.677 * [backup-simplify]: Simplify (/ (* (fabs (/ 1 im)) (sqrt 2.0)) 1) into (* (fabs (/ 1 im)) (sqrt 2.0)) 11.678 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0)) 11.678 * [backup-simplify]: Simplify (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) into (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) 11.678 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (* 0 (sqrt 2.0))) into 0 11.679 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (fabs (/ 1 im)) (sqrt 2.0)) (/ 0 1)))) into 0 11.680 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into 0 11.680 * [backup-simplify]: Simplify (- 0) into 0 11.680 * [backup-simplify]: Simplify (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) 0) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 11.681 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 11.681 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 11.681 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (* 0 (sqrt 2.0))) into 0 11.682 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into 0 11.682 * [backup-simplify]: Simplify (- 0) into 0 11.682 * [backup-simplify]: Simplify 0 into 0 11.682 * [backup-simplify]: Simplify 0 into 0 11.682 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 11.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.684 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 11.684 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 11.684 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 11.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 11.685 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 re) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 11.686 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 11.687 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 11.688 * [backup-simplify]: Simplify (+ (* (* (fabs (/ 1 im)) (sqrt 2.0)) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (+ (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))))))) 11.688 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (+ (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))))))) in re 11.688 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (+ (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)))))) in re 11.688 * [taylor]: Taking taylor expansion of (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) in re 11.688 * [taylor]: Taking taylor expansion of +nan.0 in re 11.688 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.688 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re 11.688 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 11.688 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 11.688 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 11.689 * [taylor]: Taking taylor expansion of 2.0 in re 11.689 * [backup-simplify]: Simplify 2.0 into 2.0 11.689 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.689 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.690 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))))) in re 11.690 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)))) in re 11.690 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) in re 11.690 * [taylor]: Taking taylor expansion of +nan.0 in re 11.690 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.690 * [taylor]: Taking taylor expansion of (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2)) in re 11.690 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re 11.690 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 11.690 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 11.690 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 11.690 * [taylor]: Taking taylor expansion of 2.0 in re 11.690 * [backup-simplify]: Simplify 2.0 into 2.0 11.690 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.691 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.691 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.691 * [taylor]: Taking taylor expansion of re in re 11.691 * [backup-simplify]: Simplify 0 into 0 11.691 * [backup-simplify]: Simplify 1 into 1 11.692 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0)) 11.692 * [backup-simplify]: Simplify (* 1 1) into 1 11.692 * [backup-simplify]: Simplify (/ (* (fabs (/ 1 im)) (sqrt 2.0)) 1) into (* (fabs (/ 1 im)) (sqrt 2.0)) 11.692 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))) in re 11.693 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)) in re 11.693 * [taylor]: Taking taylor expansion of +nan.0 in re 11.693 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.693 * [taylor]: Taking taylor expansion of (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re) in re 11.693 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re 11.693 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 11.693 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 11.693 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 11.693 * [taylor]: Taking taylor expansion of 2.0 in re 11.693 * [backup-simplify]: Simplify 2.0 into 2.0 11.693 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.694 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.694 * [taylor]: Taking taylor expansion of re in re 11.694 * [backup-simplify]: Simplify 0 into 0 11.694 * [backup-simplify]: Simplify 1 into 1 11.695 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0)) 11.695 * [backup-simplify]: Simplify (/ (* (fabs (/ 1 im)) (sqrt 2.0)) 1) into (* (fabs (/ 1 im)) (sqrt 2.0)) 11.695 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0)) 11.696 * [backup-simplify]: Simplify (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) into (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) 11.697 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 11.698 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 11.699 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.699 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (* 0 (sqrt 2.0))) into 0 11.700 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.701 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (fabs (/ 1 im)) (sqrt 2.0)) (/ 0 1)))) into 0 11.703 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (fabs (/ 1 im)) (sqrt 2.0)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.704 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into 0 11.705 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (* 0 (sqrt 2.0))) into 0 11.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (fabs (/ 1 im)) (sqrt 2.0)) (/ 0 1)))) into 0 11.706 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into 0 11.707 * [backup-simplify]: Simplify (- 0) into 0 11.707 * [backup-simplify]: Simplify (+ 0 0) into 0 11.707 * [backup-simplify]: Simplify (- 0) into 0 11.707 * [backup-simplify]: Simplify (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) 0) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 11.708 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 11.708 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 11.710 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (fabs (/ 1 (/ 1 im))) (sqrt 2.0)))) (pow (* 1 (/ 1 im)) 3)) (+ (* (- (* +nan.0 (* (fabs (/ 1 (/ 1 im))) (sqrt 2.0)))) (pow (* 1 (/ 1 im)) 2)) (* (- (* +nan.0 (* (fabs (/ 1 (/ 1 im))) (sqrt 2.0)))) (* 1 (/ 1 im))))) into (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow im 3))) (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) im)) (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow im 2)))))))) 11.711 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ (fabs (/ 1 (- im))) (sqrt (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))))) into (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) 11.711 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in (im re) around 0 11.711 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in re 11.711 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 11.711 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 11.711 * [taylor]: Taking taylor expansion of 2.0 in re 11.711 * [backup-simplify]: Simplify 2.0 into 2.0 11.711 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.711 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.712 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 11.712 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 11.712 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 11.712 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 11.712 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 11.712 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 11.712 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 11.712 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.712 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.712 * [taylor]: Taking taylor expansion of im in re 11.712 * [backup-simplify]: Simplify im into im 11.712 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.712 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.712 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.712 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.712 * [taylor]: Taking taylor expansion of re in re 11.712 * [backup-simplify]: Simplify 0 into 0 11.712 * [backup-simplify]: Simplify 1 into 1 11.712 * [backup-simplify]: Simplify (* 1 1) into 1 11.713 * [backup-simplify]: Simplify (/ 1 1) into 1 11.713 * [backup-simplify]: Simplify (+ 0 1) into 1 11.713 * [backup-simplify]: Simplify (sqrt 1) into 1 11.714 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.714 * [backup-simplify]: Simplify (+ 0 0) into 0 11.715 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.715 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.715 * [taylor]: Taking taylor expansion of re in re 11.715 * [backup-simplify]: Simplify 0 into 0 11.715 * [backup-simplify]: Simplify 1 into 1 11.715 * [backup-simplify]: Simplify (/ 1 1) into 1 11.715 * [backup-simplify]: Simplify (- 1) into -1 11.715 * [backup-simplify]: Simplify (+ 1 -1) into 0 11.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.716 * [backup-simplify]: Simplify (- 0) into 0 11.716 * [backup-simplify]: Simplify (+ 0 0) into 0 11.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.718 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 11.719 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 11.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.719 * [backup-simplify]: Simplify (- 0) into 0 11.719 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 11.720 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2)) 11.720 * [backup-simplify]: Simplify (sqrt 0) into 0 11.720 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2)) 11.720 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 11.720 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in im 11.720 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 11.720 * [taylor]: Taking taylor expansion of 2.0 in im 11.720 * [backup-simplify]: Simplify 2.0 into 2.0 11.721 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.721 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.721 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im 11.721 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 11.721 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 11.721 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 11.721 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 11.721 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 11.721 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 11.721 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.721 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.721 * [taylor]: Taking taylor expansion of im in im 11.722 * [backup-simplify]: Simplify 0 into 0 11.722 * [backup-simplify]: Simplify 1 into 1 11.722 * [backup-simplify]: Simplify (* 1 1) into 1 11.722 * [backup-simplify]: Simplify (/ 1 1) into 1 11.722 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 11.722 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.722 * [taylor]: Taking taylor expansion of re in im 11.722 * [backup-simplify]: Simplify re into re 11.722 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.722 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 11.722 * [backup-simplify]: Simplify (+ 1 0) into 1 11.723 * [backup-simplify]: Simplify (sqrt 1) into 1 11.723 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.724 * [backup-simplify]: Simplify (+ 0 0) into 0 11.724 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.724 * [taylor]: Taking taylor expansion of (/ 1 re) in im 11.724 * [taylor]: Taking taylor expansion of re in im 11.724 * [backup-simplify]: Simplify re into re 11.724 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 11.725 * [backup-simplify]: Simplify (+ 1 0) into 1 11.725 * [backup-simplify]: Simplify (/ 1 1) into 1 11.725 * [backup-simplify]: Simplify (sqrt 0) into 0 11.726 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.726 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 11.726 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in im 11.726 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 11.726 * [taylor]: Taking taylor expansion of 2.0 in im 11.726 * [backup-simplify]: Simplify 2.0 into 2.0 11.726 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.727 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.727 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im 11.727 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 11.727 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 11.727 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 11.727 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 11.727 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 11.727 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 11.727 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.727 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.727 * [taylor]: Taking taylor expansion of im in im 11.727 * [backup-simplify]: Simplify 0 into 0 11.727 * [backup-simplify]: Simplify 1 into 1 11.727 * [backup-simplify]: Simplify (* 1 1) into 1 11.727 * [backup-simplify]: Simplify (/ 1 1) into 1 11.727 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 11.727 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.727 * [taylor]: Taking taylor expansion of re in im 11.727 * [backup-simplify]: Simplify re into re 11.728 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.728 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 11.728 * [backup-simplify]: Simplify (+ 1 0) into 1 11.728 * [backup-simplify]: Simplify (sqrt 1) into 1 11.729 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.729 * [backup-simplify]: Simplify (+ 0 0) into 0 11.730 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.730 * [taylor]: Taking taylor expansion of (/ 1 re) in im 11.730 * [taylor]: Taking taylor expansion of re in im 11.730 * [backup-simplify]: Simplify re into re 11.730 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 11.730 * [backup-simplify]: Simplify (+ 1 0) into 1 11.730 * [backup-simplify]: Simplify (/ 1 1) into 1 11.730 * [backup-simplify]: Simplify (sqrt 0) into 0 11.731 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.732 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im))) 11.732 * [backup-simplify]: Simplify (* (* (sqrt 2.0) (fabs (/ -1 im))) 0) into 0 11.732 * [taylor]: Taking taylor expansion of 0 in re 11.732 * [backup-simplify]: Simplify 0 into 0 11.732 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ -1 im)))) into 0 11.733 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 11.733 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) in re 11.733 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) in re 11.733 * [taylor]: Taking taylor expansion of +nan.0 in re 11.733 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.733 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 11.733 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 11.733 * [taylor]: Taking taylor expansion of 2.0 in re 11.733 * [backup-simplify]: Simplify 2.0 into 2.0 11.734 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.734 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.734 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 11.734 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 11.734 * [backup-simplify]: Simplify 0 into 0 11.735 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 11.735 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 11.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 11.736 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0)) 11.737 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 11.738 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (fabs (/ -1 im))))) into 0 11.740 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))))) 11.740 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))))) in re 11.740 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) in re 11.740 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) in re 11.740 * [taylor]: Taking taylor expansion of +nan.0 in re 11.740 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.740 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (fabs (/ -1 im))) re) in re 11.740 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 11.740 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 11.740 * [taylor]: Taking taylor expansion of 2.0 in re 11.740 * [backup-simplify]: Simplify 2.0 into 2.0 11.740 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.741 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.741 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 11.741 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 11.741 * [taylor]: Taking taylor expansion of re in re 11.741 * [backup-simplify]: Simplify 0 into 0 11.741 * [backup-simplify]: Simplify 1 into 1 11.742 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im))) 11.742 * [backup-simplify]: Simplify (/ (* (sqrt 2.0) (fabs (/ -1 im))) 1) into (* (sqrt 2.0) (fabs (/ -1 im))) 11.742 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) in re 11.742 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) in re 11.742 * [taylor]: Taking taylor expansion of +nan.0 in re 11.742 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.742 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 11.742 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 11.743 * [taylor]: Taking taylor expansion of 2.0 in re 11.743 * [backup-simplify]: Simplify 2.0 into 2.0 11.743 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.744 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.744 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 11.744 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 11.744 * [backup-simplify]: Simplify (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) into (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) 11.745 * [backup-simplify]: Simplify (+ (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) 0) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 11.745 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 11.746 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 11.746 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im))) 11.747 * [backup-simplify]: Simplify (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) into (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) 11.747 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 11.748 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 11.748 * [backup-simplify]: Simplify 0 into 0 11.754 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.755 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 11.756 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 11.756 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 11.756 * [backup-simplify]: Simplify (- 0) into 0 11.756 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 11.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 11.757 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 re) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 11.758 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 11.759 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fabs (/ -1 im)))))) into 0 11.760 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))))))) 11.760 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))))))) in re 11.760 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))))) in re 11.760 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) in re 11.760 * [taylor]: Taking taylor expansion of +nan.0 in re 11.760 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.760 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (fabs (/ -1 im))) re) in re 11.760 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 11.760 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 11.760 * [taylor]: Taking taylor expansion of 2.0 in re 11.760 * [backup-simplify]: Simplify 2.0 into 2.0 11.761 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.761 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.761 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 11.761 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 11.761 * [taylor]: Taking taylor expansion of re in re 11.761 * [backup-simplify]: Simplify 0 into 0 11.761 * [backup-simplify]: Simplify 1 into 1 11.761 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im))) 11.762 * [backup-simplify]: Simplify (/ (* (sqrt 2.0) (fabs (/ -1 im))) 1) into (* (sqrt 2.0) (fabs (/ -1 im))) 11.762 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))))) in re 11.762 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) in re 11.762 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) in re 11.762 * [taylor]: Taking taylor expansion of +nan.0 in re 11.762 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.762 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2)) in re 11.762 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 11.762 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 11.762 * [taylor]: Taking taylor expansion of 2.0 in re 11.762 * [backup-simplify]: Simplify 2.0 into 2.0 11.762 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.763 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.763 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 11.763 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 11.763 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.763 * [taylor]: Taking taylor expansion of re in re 11.763 * [backup-simplify]: Simplify 0 into 0 11.763 * [backup-simplify]: Simplify 1 into 1 11.763 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im))) 11.763 * [backup-simplify]: Simplify (* 1 1) into 1 11.764 * [backup-simplify]: Simplify (/ (* (sqrt 2.0) (fabs (/ -1 im))) 1) into (* (sqrt 2.0) (fabs (/ -1 im))) 11.764 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) in re 11.764 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) in re 11.764 * [taylor]: Taking taylor expansion of +nan.0 in re 11.764 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.764 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 11.764 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 11.764 * [taylor]: Taking taylor expansion of 2.0 in re 11.764 * [backup-simplify]: Simplify 2.0 into 2.0 11.764 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.765 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.765 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 11.765 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 11.765 * [backup-simplify]: Simplify (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) into (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) 11.765 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ -1 im)))) into 0 11.766 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.767 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (/ 0 1)))) into 0 11.767 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2.0) (fabs (/ -1 im))))) into 0 11.767 * [backup-simplify]: Simplify (+ 0 0) into 0 11.768 * [backup-simplify]: Simplify (- 0) into 0 11.768 * [backup-simplify]: Simplify (+ (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) 0) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 11.769 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 11.769 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 11.771 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 (/ 1 (- im))))))) (* (/ 1 (/ 1 (- re))) (pow (/ 1 (- im)) 3))) (+ (* (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 (/ 1 (- im))))))) (* 1 (/ 1 (- im)))) (* (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 (/ 1 (- im))))))) (* (/ 1 (/ 1 (- re))) (pow (/ 1 (- im)) 2))))) into (- (+ (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) re)) (pow im 2))) (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) im)) (- (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) re)) (pow im 3)))))))) 11.771 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 11.771 * [backup-simplify]: Simplify (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) into (* (fabs im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) 11.771 * [approximate]: Taking taylor expansion of (* (fabs im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in (im re) around 0 11.771 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in re 11.771 * [taylor]: Taking taylor expansion of (fabs im) in re 11.772 * [backup-simplify]: Simplify (fabs im) into (fabs im) 11.772 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 11.772 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 11.772 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 11.772 * [taylor]: Taking taylor expansion of re in re 11.772 * [backup-simplify]: Simplify 0 into 0 11.772 * [backup-simplify]: Simplify 1 into 1 11.772 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 11.772 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 11.772 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.772 * [taylor]: Taking taylor expansion of re in re 11.772 * [backup-simplify]: Simplify 0 into 0 11.772 * [backup-simplify]: Simplify 1 into 1 11.772 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.772 * [taylor]: Taking taylor expansion of im in re 11.772 * [backup-simplify]: Simplify im into im 11.772 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.772 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 11.772 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 11.772 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.772 * [backup-simplify]: Simplify (+ 0 0) into 0 11.772 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 11.772 * [backup-simplify]: Simplify (+ 0 im) into im 11.773 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 11.773 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im)) 11.773 * [backup-simplify]: Simplify (+ 1 0) into 1 11.773 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 1 im)))) into (- (/ 1 (pow im 2))) 11.773 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2))) (* 2 (sqrt (/ 1 im)))) into (* -1/2 (sqrt (/ 1 (pow im 3)))) 11.773 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 11.773 * [taylor]: Taking taylor expansion of (fabs im) in im 11.773 * [backup-simplify]: Simplify (fabs im) into (fabs im) 11.773 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 11.773 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 11.773 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 11.773 * [taylor]: Taking taylor expansion of re in im 11.773 * [backup-simplify]: Simplify re into re 11.773 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 11.773 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 11.773 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.773 * [taylor]: Taking taylor expansion of re in im 11.773 * [backup-simplify]: Simplify re into re 11.773 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.773 * [taylor]: Taking taylor expansion of im in im 11.773 * [backup-simplify]: Simplify 0 into 0 11.773 * [backup-simplify]: Simplify 1 into 1 11.774 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.774 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 11.774 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 11.774 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 11.774 * [backup-simplify]: Simplify (+ 0 0) into 0 11.774 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 11.774 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 11.774 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 11.774 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 11.774 * [backup-simplify]: Simplify (+ 0 0) into 0 11.775 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 11.775 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 11.775 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 11.775 * [taylor]: Taking taylor expansion of (fabs im) in im 11.775 * [backup-simplify]: Simplify (fabs im) into (fabs im) 11.775 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 11.775 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 11.775 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 11.775 * [taylor]: Taking taylor expansion of re in im 11.775 * [backup-simplify]: Simplify re into re 11.775 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 11.775 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 11.775 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.775 * [taylor]: Taking taylor expansion of re in im 11.775 * [backup-simplify]: Simplify re into re 11.775 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.775 * [taylor]: Taking taylor expansion of im in im 11.775 * [backup-simplify]: Simplify 0 into 0 11.775 * [backup-simplify]: Simplify 1 into 1 11.775 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.775 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 11.775 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 11.775 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 11.776 * [backup-simplify]: Simplify (+ 0 0) into 0 11.776 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 11.776 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 11.776 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 11.776 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 11.776 * [backup-simplify]: Simplify (+ 0 0) into 0 11.776 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 11.776 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 11.777 * [backup-simplify]: Simplify (* (fabs im) (* (sqrt (/ 1 re)) (sqrt 1/2))) into (* (* (fabs im) (sqrt 1/2)) (sqrt (/ 1 re))) 11.777 * [taylor]: Taking taylor expansion of (* (* (fabs im) (sqrt 1/2)) (sqrt (/ 1 re))) in re 11.777 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 1/2)) in re 11.777 * [taylor]: Taking taylor expansion of (fabs im) in re 11.777 * [backup-simplify]: Simplify (fabs im) into (fabs im) 11.777 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 11.777 * [taylor]: Taking taylor expansion of 1/2 in re 11.777 * [backup-simplify]: Simplify 1/2 into 1/2 11.777 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 11.778 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 11.778 * [taylor]: Taking taylor expansion of (sqrt (/ 1 re)) in re 11.778 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.778 * [taylor]: Taking taylor expansion of re in re 11.778 * [backup-simplify]: Simplify 0 into 0 11.778 * [backup-simplify]: Simplify 1 into 1 11.778 * [backup-simplify]: Simplify (/ 1 1) into 1 11.779 * [backup-simplify]: Simplify (sqrt 0) into 0 11.780 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.781 * [backup-simplify]: Simplify (* (fabs im) (sqrt 1/2)) into (* (fabs im) (sqrt 1/2)) 11.781 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (* 0 (sqrt 1/2))) into 0 11.782 * [backup-simplify]: Simplify (+ (* (* (fabs im) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (fabs im) (sqrt 1/2)))) 11.783 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs im) (sqrt 1/2)))) into (- (* +nan.0 (* (fabs im) (sqrt 1/2)))) 11.783 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2)))) into 0 11.783 * [taylor]: Taking taylor expansion of 0 in re 11.783 * [backup-simplify]: Simplify 0 into 0 11.783 * [backup-simplify]: Simplify 0 into 0 11.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.787 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.788 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 11.789 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 11.790 * [backup-simplify]: Simplify (+ (* (* (fabs im) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (fabs im) (sqrt 1/2)))) 11.790 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs im) (sqrt 1/2)))) into (- (* +nan.0 (* (fabs im) (sqrt 1/2)))) 11.790 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 11.791 * [backup-simplify]: Simplify (* 1 1) into 1 11.791 * [backup-simplify]: Simplify (+ 0 1) into 1 11.791 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 11.792 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re)) 11.792 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ (* 1/2 (/ 1 re)) (* 2 re))) (* 0 (/ 0 (* 2 re))))) into (- (* 1/8 (/ 1 (pow re 3)))) 11.793 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow re 3)))) (pow 0 2) (+)) (* 2 (* (sqrt (/ 1 re)) (sqrt 1/2)))) into (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2)))) 11.794 * [backup-simplify]: Simplify (+ (* (fabs im) (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2))))) (+ (* 0 0) (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2))))) into (- (* 1/16 (* (/ (fabs im) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) 11.794 * [taylor]: Taking taylor expansion of (- (* 1/16 (* (/ (fabs im) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) in re 11.794 * [taylor]: Taking taylor expansion of (* 1/16 (* (/ (fabs im) (sqrt 1/2)) (sqrt (/ 1 (pow re 5))))) in re 11.794 * [taylor]: Taking taylor expansion of 1/16 in re 11.794 * [backup-simplify]: Simplify 1/16 into 1/16 11.794 * [taylor]: Taking taylor expansion of (* (/ (fabs im) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))) in re 11.794 * [taylor]: Taking taylor expansion of (/ (fabs im) (sqrt 1/2)) in re 11.794 * [taylor]: Taking taylor expansion of (fabs im) in re 11.794 * [backup-simplify]: Simplify (fabs im) into (fabs im) 11.794 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 11.794 * [taylor]: Taking taylor expansion of 1/2 in re 11.794 * [backup-simplify]: Simplify 1/2 into 1/2 11.795 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 11.795 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 11.795 * [backup-simplify]: Simplify (/ (fabs im) (sqrt 1/2)) into (/ (fabs im) (sqrt 1/2)) 11.795 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 5))) in re 11.796 * [taylor]: Taking taylor expansion of (/ 1 (pow re 5)) in re 11.796 * [taylor]: Taking taylor expansion of (pow re 5) in re 11.796 * [taylor]: Taking taylor expansion of re in re 11.796 * [backup-simplify]: Simplify 0 into 0 11.796 * [backup-simplify]: Simplify 1 into 1 11.796 * [backup-simplify]: Simplify (* 1 1) into 1 11.796 * [backup-simplify]: Simplify (* 1 1) into 1 11.796 * [backup-simplify]: Simplify (* 1 1) into 1 11.796 * [backup-simplify]: Simplify (/ 1 1) into 1 11.797 * [backup-simplify]: Simplify (sqrt 0) into 0 11.797 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.799 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.800 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.803 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.805 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.806 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (fabs im) (sqrt 1/2)) (/ 0 (sqrt 1/2))))) into 0 11.807 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 11.808 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (fabs im) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0 11.809 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 11.810 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (fabs im) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0 11.811 * [backup-simplify]: Simplify (+ (* (/ (fabs im) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ (fabs im) (sqrt 1/2)))) 11.812 * [backup-simplify]: Simplify (+ (* (/ (fabs im) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (fabs im) (sqrt 1/2)))) 11.812 * [backup-simplify]: Simplify (+ (* (/ (fabs im) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (fabs im) (sqrt 1/2)))) 11.813 * [backup-simplify]: Simplify (* (/ (fabs im) (sqrt 1/2)) 0) into 0 11.814 * [backup-simplify]: Simplify (+ (* 1/16 (- (* +nan.0 (/ (fabs im) (sqrt 1/2))))) (+ (* 0 (- (* +nan.0 (/ (fabs im) (sqrt 1/2))))) (+ (* 0 (- (* +nan.0 (/ (fabs im) (sqrt 1/2))))) (* 0 0)))) into (- (* +nan.0 (/ (fabs im) (sqrt 1/2)))) 11.814 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (fabs im) (sqrt 1/2))))) into (- (* +nan.0 (/ (fabs im) (sqrt 1/2)))) 11.814 * [backup-simplify]: Simplify (- (* +nan.0 (/ (fabs im) (sqrt 1/2)))) into (- (* +nan.0 (/ (fabs im) (sqrt 1/2)))) 11.816 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ (fabs im) (sqrt 1/2)))) (pow (* 1 im) 2)) (+ (* (- (* +nan.0 (* (fabs im) (sqrt 1/2)))) (* re 1)) (- (* +nan.0 (* (fabs im) (sqrt 1/2)))))) into (- (+ (* +nan.0 (/ (* (fabs im) (pow im 2)) (sqrt 1/2))) (- (+ (* +nan.0 (* (fabs im) (* re (sqrt 1/2)))) (- (* +nan.0 (* (fabs im) (sqrt 1/2)))))))) 11.816 * [backup-simplify]: Simplify (/ (fabs (/ 1 im)) (sqrt (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (fabs (/ 1 im)) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) 11.816 * [approximate]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in (im re) around 0 11.816 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re 11.816 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 11.816 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 11.816 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 11.816 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 11.816 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 11.816 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.816 * [taylor]: Taking taylor expansion of re in re 11.816 * [backup-simplify]: Simplify 0 into 0 11.816 * [backup-simplify]: Simplify 1 into 1 11.817 * [backup-simplify]: Simplify (/ 1 1) into 1 11.817 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 11.817 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 11.817 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.817 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.817 * [taylor]: Taking taylor expansion of im in re 11.817 * [backup-simplify]: Simplify im into im 11.817 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.817 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.817 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.817 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.817 * [taylor]: Taking taylor expansion of re in re 11.817 * [backup-simplify]: Simplify 0 into 0 11.817 * [backup-simplify]: Simplify 1 into 1 11.817 * [backup-simplify]: Simplify (* 1 1) into 1 11.818 * [backup-simplify]: Simplify (/ 1 1) into 1 11.818 * [backup-simplify]: Simplify (+ 0 1) into 1 11.818 * [backup-simplify]: Simplify (sqrt 1) into 1 11.819 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.820 * [backup-simplify]: Simplify (+ 0 0) into 0 11.821 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.821 * [backup-simplify]: Simplify (+ 1 1) into 2 11.822 * [backup-simplify]: Simplify (/ 1 2) into 1/2 11.822 * [backup-simplify]: Simplify (sqrt 0) into 0 11.824 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0 11.824 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 11.824 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im 11.824 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 11.824 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 11.824 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 11.824 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 11.824 * [taylor]: Taking taylor expansion of (/ 1 re) in im 11.824 * [taylor]: Taking taylor expansion of re in im 11.824 * [backup-simplify]: Simplify re into re 11.824 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 11.824 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 11.824 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 11.824 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.824 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.824 * [taylor]: Taking taylor expansion of im in im 11.824 * [backup-simplify]: Simplify 0 into 0 11.824 * [backup-simplify]: Simplify 1 into 1 11.825 * [backup-simplify]: Simplify (* 1 1) into 1 11.825 * [backup-simplify]: Simplify (/ 1 1) into 1 11.825 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 11.825 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.825 * [taylor]: Taking taylor expansion of re in im 11.825 * [backup-simplify]: Simplify re into re 11.825 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.826 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 11.826 * [backup-simplify]: Simplify (+ 1 0) into 1 11.827 * [backup-simplify]: Simplify (sqrt 1) into 1 11.827 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.828 * [backup-simplify]: Simplify (+ 0 0) into 0 11.830 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.830 * [backup-simplify]: Simplify (+ 0 1) into 1 11.830 * [backup-simplify]: Simplify (/ 1 1) into 1 11.831 * [backup-simplify]: Simplify (sqrt 0) into 0 11.832 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.832 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 11.832 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im 11.833 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 11.833 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 11.833 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 11.833 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 11.833 * [taylor]: Taking taylor expansion of (/ 1 re) in im 11.833 * [taylor]: Taking taylor expansion of re in im 11.833 * [backup-simplify]: Simplify re into re 11.833 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 11.833 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 11.833 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 11.833 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.833 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.833 * [taylor]: Taking taylor expansion of im in im 11.833 * [backup-simplify]: Simplify 0 into 0 11.833 * [backup-simplify]: Simplify 1 into 1 11.833 * [backup-simplify]: Simplify (* 1 1) into 1 11.834 * [backup-simplify]: Simplify (/ 1 1) into 1 11.834 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 11.834 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.834 * [taylor]: Taking taylor expansion of re in im 11.834 * [backup-simplify]: Simplify re into re 11.834 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.834 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 11.835 * [backup-simplify]: Simplify (+ 1 0) into 1 11.835 * [backup-simplify]: Simplify (sqrt 1) into 1 11.836 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.837 * [backup-simplify]: Simplify (+ 0 0) into 0 11.837 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.838 * [backup-simplify]: Simplify (+ 0 1) into 1 11.838 * [backup-simplify]: Simplify (/ 1 1) into 1 11.839 * [backup-simplify]: Simplify (sqrt 0) into 0 11.840 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.840 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) 0) into 0 11.840 * [taylor]: Taking taylor expansion of 0 in re 11.840 * [backup-simplify]: Simplify 0 into 0 11.840 * [backup-simplify]: Simplify 0 into 0 11.841 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) +nan.0) (* 0 0)) into (- (* +nan.0 (fabs (/ 1 im)))) 11.841 * [taylor]: Taking taylor expansion of (- (* +nan.0 (fabs (/ 1 im)))) in re 11.841 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (/ 1 im))) in re 11.841 * [taylor]: Taking taylor expansion of +nan.0 in re 11.841 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.841 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 11.841 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 11.841 * [backup-simplify]: Simplify (* +nan.0 (fabs (/ 1 im))) into (* +nan.0 (fabs (/ 1 im))) 11.841 * [backup-simplify]: Simplify (- (* +nan.0 (fabs (/ 1 im)))) into (- (* +nan.0 (fabs (/ 1 im)))) 11.842 * [backup-simplify]: Simplify (- (* +nan.0 (fabs (/ 1 im)))) into (- (* +nan.0 (fabs (/ 1 im)))) 11.842 * [backup-simplify]: Simplify 0 into 0 11.842 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 11.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 11.843 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0))) 11.845 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (fabs (/ 1 im))) (- (* +nan.0 (/ (fabs (/ 1 im)) re))))) 11.845 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (fabs (/ 1 im))) (- (* +nan.0 (/ (fabs (/ 1 im)) re))))) in re 11.845 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (fabs (/ 1 im))) (- (* +nan.0 (/ (fabs (/ 1 im)) re)))) in re 11.845 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (/ 1 im))) in re 11.845 * [taylor]: Taking taylor expansion of +nan.0 in re 11.845 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.845 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 11.845 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 11.845 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (fabs (/ 1 im)) re))) in re 11.846 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (fabs (/ 1 im)) re)) in re 11.846 * [taylor]: Taking taylor expansion of +nan.0 in re 11.846 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.846 * [taylor]: Taking taylor expansion of (/ (fabs (/ 1 im)) re) in re 11.846 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 11.846 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 11.846 * [taylor]: Taking taylor expansion of re in re 11.846 * [backup-simplify]: Simplify 0 into 0 11.846 * [backup-simplify]: Simplify 1 into 1 11.846 * [backup-simplify]: Simplify (/ (fabs (/ 1 im)) 1) into (fabs (/ 1 im)) 11.846 * [backup-simplify]: Simplify (* +nan.0 (fabs (/ 1 im))) into (* +nan.0 (fabs (/ 1 im))) 11.847 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (fabs (/ 1 im)) (/ 0 1)))) into 0 11.847 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (fabs (/ 1 im)))) into 0 11.848 * [backup-simplify]: Simplify (- 0) into 0 11.848 * [backup-simplify]: Simplify (+ (* +nan.0 (fabs (/ 1 im))) 0) into (- (* +nan.0 (fabs (/ 1 im)))) 11.848 * [backup-simplify]: Simplify (- (- (* +nan.0 (fabs (/ 1 im))))) into (- (* +nan.0 (fabs (/ 1 im)))) 11.848 * [backup-simplify]: Simplify (- (* +nan.0 (fabs (/ 1 im)))) into (- (* +nan.0 (fabs (/ 1 im)))) 11.849 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (fabs (/ 1 im)))) into 0 11.849 * [backup-simplify]: Simplify (- 0) into 0 11.849 * [backup-simplify]: Simplify 0 into 0 11.849 * [backup-simplify]: Simplify 0 into 0 11.850 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 11.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.852 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 11.853 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 11.853 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 11.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 11.855 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 re) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 11.857 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (fabs (/ 1 im))) (- (+ (* +nan.0 (/ (fabs (/ 1 im)) re)) (- (* +nan.0 (/ (fabs (/ 1 im)) (pow re 2)))))))) 11.857 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (fabs (/ 1 im))) (- (+ (* +nan.0 (/ (fabs (/ 1 im)) re)) (- (* +nan.0 (/ (fabs (/ 1 im)) (pow re 2)))))))) in re 11.857 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (fabs (/ 1 im))) (- (+ (* +nan.0 (/ (fabs (/ 1 im)) re)) (- (* +nan.0 (/ (fabs (/ 1 im)) (pow re 2))))))) in re 11.857 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (/ 1 im))) in re 11.857 * [taylor]: Taking taylor expansion of +nan.0 in re 11.857 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.857 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 11.857 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 11.857 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (fabs (/ 1 im)) re)) (- (* +nan.0 (/ (fabs (/ 1 im)) (pow re 2)))))) in re 11.857 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (fabs (/ 1 im)) re)) (- (* +nan.0 (/ (fabs (/ 1 im)) (pow re 2))))) in re 11.857 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (fabs (/ 1 im)) re)) in re 11.857 * [taylor]: Taking taylor expansion of +nan.0 in re 11.857 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.857 * [taylor]: Taking taylor expansion of (/ (fabs (/ 1 im)) re) in re 11.857 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 11.857 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 11.857 * [taylor]: Taking taylor expansion of re in re 11.857 * [backup-simplify]: Simplify 0 into 0 11.857 * [backup-simplify]: Simplify 1 into 1 11.858 * [backup-simplify]: Simplify (/ (fabs (/ 1 im)) 1) into (fabs (/ 1 im)) 11.858 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (fabs (/ 1 im)) (pow re 2)))) in re 11.858 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (fabs (/ 1 im)) (pow re 2))) in re 11.858 * [taylor]: Taking taylor expansion of +nan.0 in re 11.858 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.858 * [taylor]: Taking taylor expansion of (/ (fabs (/ 1 im)) (pow re 2)) in re 11.858 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 11.858 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 11.858 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.858 * [taylor]: Taking taylor expansion of re in re 11.858 * [backup-simplify]: Simplify 0 into 0 11.858 * [backup-simplify]: Simplify 1 into 1 11.858 * [backup-simplify]: Simplify (* 1 1) into 1 11.858 * [backup-simplify]: Simplify (/ (fabs (/ 1 im)) 1) into (fabs (/ 1 im)) 11.859 * [backup-simplify]: Simplify (* +nan.0 (fabs (/ 1 im))) into (* +nan.0 (fabs (/ 1 im))) 11.860 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (fabs (/ 1 im)) (/ 0 1)))) into 0 11.860 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (fabs (/ 1 im)))) into 0 11.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.861 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (fabs (/ 1 im)) (/ 0 1)))) into 0 11.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (fabs (/ 1 im)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.865 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (fabs (/ 1 im))))) into 0 11.865 * [backup-simplify]: Simplify (- 0) into 0 11.865 * [backup-simplify]: Simplify (+ 0 0) into 0 11.866 * [backup-simplify]: Simplify (- 0) into 0 11.866 * [backup-simplify]: Simplify (+ (* +nan.0 (fabs (/ 1 im))) 0) into (- (* +nan.0 (fabs (/ 1 im)))) 11.866 * [backup-simplify]: Simplify (- (- (* +nan.0 (fabs (/ 1 im))))) into (- (* +nan.0 (fabs (/ 1 im)))) 11.866 * [backup-simplify]: Simplify (- (* +nan.0 (fabs (/ 1 im)))) into (- (* +nan.0 (fabs (/ 1 im)))) 11.867 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (fabs (/ 1 (/ 1 im))))) (pow (* 1 (/ 1 im)) 3)) (+ (* (- (* +nan.0 (fabs (/ 1 (/ 1 im))))) (pow (* 1 (/ 1 im)) 2)) (* (- (* +nan.0 (fabs (/ 1 (/ 1 im))))) (* 1 (/ 1 im))))) into (- (+ (* +nan.0 (/ (fabs im) im)) (- (+ (* +nan.0 (/ (fabs im) (pow im 2))) (- (* +nan.0 (/ (fabs im) (pow im 3)))))))) 11.868 * [backup-simplify]: Simplify (/ (fabs (/ 1 (- im))) (sqrt (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (fabs (/ -1 im)) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) 11.868 * [approximate]: Taking taylor expansion of (* (fabs (/ -1 im)) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in (im re) around 0 11.868 * [taylor]: Taking taylor expansion of (* (fabs (/ -1 im)) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in re 11.868 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 11.868 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 11.868 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 11.868 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 11.868 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 11.868 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 11.868 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 11.868 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.868 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.868 * [taylor]: Taking taylor expansion of im in re 11.868 * [backup-simplify]: Simplify im into im 11.868 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.869 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.869 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.869 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.869 * [taylor]: Taking taylor expansion of re in re 11.869 * [backup-simplify]: Simplify 0 into 0 11.869 * [backup-simplify]: Simplify 1 into 1 11.869 * [backup-simplify]: Simplify (* 1 1) into 1 11.870 * [backup-simplify]: Simplify (/ 1 1) into 1 11.870 * [backup-simplify]: Simplify (+ 0 1) into 1 11.870 * [backup-simplify]: Simplify (sqrt 1) into 1 11.871 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.872 * [backup-simplify]: Simplify (+ 0 0) into 0 11.873 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.873 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.873 * [taylor]: Taking taylor expansion of re in re 11.873 * [backup-simplify]: Simplify 0 into 0 11.873 * [backup-simplify]: Simplify 1 into 1 11.873 * [backup-simplify]: Simplify (/ 1 1) into 1 11.874 * [backup-simplify]: Simplify (- 1) into -1 11.881 * [backup-simplify]: Simplify (+ 1 -1) into 0 11.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.883 * [backup-simplify]: Simplify (- 0) into 0 11.883 * [backup-simplify]: Simplify (+ 0 0) into 0 11.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.885 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 11.886 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 11.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.888 * [backup-simplify]: Simplify (- 0) into 0 11.888 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 11.888 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2)) 11.888 * [backup-simplify]: Simplify (sqrt 0) into 0 11.889 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2)) 11.889 * [taylor]: Taking taylor expansion of (* (fabs (/ -1 im)) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 11.889 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im 11.889 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 11.889 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 11.889 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 11.889 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 11.889 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 11.890 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 11.890 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.890 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.890 * [taylor]: Taking taylor expansion of im in im 11.890 * [backup-simplify]: Simplify 0 into 0 11.890 * [backup-simplify]: Simplify 1 into 1 11.890 * [backup-simplify]: Simplify (* 1 1) into 1 11.890 * [backup-simplify]: Simplify (/ 1 1) into 1 11.890 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 11.890 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.890 * [taylor]: Taking taylor expansion of re in im 11.891 * [backup-simplify]: Simplify re into re 11.891 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.891 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 11.891 * [backup-simplify]: Simplify (+ 1 0) into 1 11.891 * [backup-simplify]: Simplify (sqrt 1) into 1 11.892 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.893 * [backup-simplify]: Simplify (+ 0 0) into 0 11.894 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.894 * [taylor]: Taking taylor expansion of (/ 1 re) in im 11.894 * [taylor]: Taking taylor expansion of re in im 11.894 * [backup-simplify]: Simplify re into re 11.894 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 11.894 * [backup-simplify]: Simplify (+ 1 0) into 1 11.895 * [backup-simplify]: Simplify (/ 1 1) into 1 11.895 * [backup-simplify]: Simplify (sqrt 0) into 0 11.897 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.897 * [taylor]: Taking taylor expansion of (* (fabs (/ -1 im)) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 11.897 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im 11.897 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 11.897 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 11.897 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 11.897 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 11.897 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 11.897 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 11.897 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.897 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.897 * [taylor]: Taking taylor expansion of im in im 11.897 * [backup-simplify]: Simplify 0 into 0 11.897 * [backup-simplify]: Simplify 1 into 1 11.897 * [backup-simplify]: Simplify (* 1 1) into 1 11.898 * [backup-simplify]: Simplify (/ 1 1) into 1 11.898 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 11.898 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.898 * [taylor]: Taking taylor expansion of re in im 11.898 * [backup-simplify]: Simplify re into re 11.898 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.898 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 11.899 * [backup-simplify]: Simplify (+ 1 0) into 1 11.899 * [backup-simplify]: Simplify (sqrt 1) into 1 11.900 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.901 * [backup-simplify]: Simplify (+ 0 0) into 0 11.902 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.902 * [taylor]: Taking taylor expansion of (/ 1 re) in im 11.902 * [taylor]: Taking taylor expansion of re in im 11.902 * [backup-simplify]: Simplify re into re 11.902 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 11.902 * [backup-simplify]: Simplify (+ 1 0) into 1 11.903 * [backup-simplify]: Simplify (/ 1 1) into 1 11.903 * [backup-simplify]: Simplify (sqrt 0) into 0 11.905 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.905 * [backup-simplify]: Simplify (* (fabs (/ -1 im)) 0) into 0 11.905 * [taylor]: Taking taylor expansion of 0 in re 11.905 * [backup-simplify]: Simplify 0 into 0 11.905 * [backup-simplify]: Simplify (+ (* (fabs (/ -1 im)) +nan.0) (* 0 0)) into (- (* +nan.0 (fabs (/ -1 im)))) 11.905 * [taylor]: Taking taylor expansion of (- (* +nan.0 (fabs (/ -1 im)))) in re 11.905 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (/ -1 im))) in re 11.906 * [taylor]: Taking taylor expansion of +nan.0 in re 11.906 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.906 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 11.906 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 11.906 * [backup-simplify]: Simplify 0 into 0 11.906 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 11.906 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 11.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 11.907 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0)) 11.908 * [backup-simplify]: Simplify (+ (* (fabs (/ -1 im)) (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (fabs (/ -1 im))) (- (* +nan.0 (/ (fabs (/ -1 im)) re))))) 11.909 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (fabs (/ -1 im))) (- (* +nan.0 (/ (fabs (/ -1 im)) re))))) in re 11.909 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (fabs (/ -1 im))) (- (* +nan.0 (/ (fabs (/ -1 im)) re)))) in re 11.909 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (/ -1 im))) in re 11.909 * [taylor]: Taking taylor expansion of +nan.0 in re 11.909 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.909 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 11.909 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 11.909 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (fabs (/ -1 im)) re))) in re 11.909 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (fabs (/ -1 im)) re)) in re 11.909 * [taylor]: Taking taylor expansion of +nan.0 in re 11.909 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.909 * [taylor]: Taking taylor expansion of (/ (fabs (/ -1 im)) re) in re 11.909 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 11.909 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 11.909 * [taylor]: Taking taylor expansion of re in re 11.909 * [backup-simplify]: Simplify 0 into 0 11.909 * [backup-simplify]: Simplify 1 into 1 11.909 * [backup-simplify]: Simplify (/ (fabs (/ -1 im)) 1) into (fabs (/ -1 im)) 11.909 * [backup-simplify]: Simplify (* +nan.0 (fabs (/ -1 im))) into (* +nan.0 (fabs (/ -1 im))) 11.910 * [backup-simplify]: Simplify (- (* +nan.0 (fabs (/ -1 im)))) into (- (* +nan.0 (fabs (/ -1 im)))) 11.910 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (fabs (/ -1 im))))) into (- (* +nan.0 (fabs (/ -1 im)))) 11.910 * [backup-simplify]: Simplify (- (- (* +nan.0 (fabs (/ -1 im))))) into (- (* +nan.0 (fabs (/ -1 im)))) 11.910 * [backup-simplify]: Simplify (- (* +nan.0 (fabs (/ -1 im)))) into (- (* +nan.0 (fabs (/ -1 im)))) 11.910 * [backup-simplify]: Simplify (* +nan.0 (fabs (/ -1 im))) into (* +nan.0 (fabs (/ -1 im))) 11.910 * [backup-simplify]: Simplify (- (* +nan.0 (fabs (/ -1 im)))) into (- (* +nan.0 (fabs (/ -1 im)))) 11.910 * [backup-simplify]: Simplify (- (* +nan.0 (fabs (/ -1 im)))) into (- (* +nan.0 (fabs (/ -1 im)))) 11.910 * [backup-simplify]: Simplify 0 into 0 11.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.913 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 11.914 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 11.914 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 11.914 * [backup-simplify]: Simplify (- 0) into 0 11.914 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 11.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 11.915 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 re) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 11.916 * [backup-simplify]: Simplify (+ (* (fabs (/ -1 im)) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (fabs (/ -1 im))) (- (+ (* +nan.0 (/ (fabs (/ -1 im)) (pow re 2))) (- (* +nan.0 (/ (fabs (/ -1 im)) re))))))) 11.916 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (fabs (/ -1 im))) (- (+ (* +nan.0 (/ (fabs (/ -1 im)) (pow re 2))) (- (* +nan.0 (/ (fabs (/ -1 im)) re))))))) in re 11.916 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (fabs (/ -1 im))) (- (+ (* +nan.0 (/ (fabs (/ -1 im)) (pow re 2))) (- (* +nan.0 (/ (fabs (/ -1 im)) re)))))) in re 11.916 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (/ -1 im))) in re 11.916 * [taylor]: Taking taylor expansion of +nan.0 in re 11.916 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.916 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 11.916 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 11.916 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (fabs (/ -1 im)) (pow re 2))) (- (* +nan.0 (/ (fabs (/ -1 im)) re))))) in re 11.916 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (fabs (/ -1 im)) (pow re 2))) (- (* +nan.0 (/ (fabs (/ -1 im)) re)))) in re 11.916 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (fabs (/ -1 im)) (pow re 2))) in re 11.916 * [taylor]: Taking taylor expansion of +nan.0 in re 11.916 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.916 * [taylor]: Taking taylor expansion of (/ (fabs (/ -1 im)) (pow re 2)) in re 11.916 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 11.916 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 11.916 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.916 * [taylor]: Taking taylor expansion of re in re 11.916 * [backup-simplify]: Simplify 0 into 0 11.916 * [backup-simplify]: Simplify 1 into 1 11.917 * [backup-simplify]: Simplify (* 1 1) into 1 11.917 * [backup-simplify]: Simplify (/ (fabs (/ -1 im)) 1) into (fabs (/ -1 im)) 11.917 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (fabs (/ -1 im)) re))) in re 11.917 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (fabs (/ -1 im)) re)) in re 11.917 * [taylor]: Taking taylor expansion of +nan.0 in re 11.917 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.917 * [taylor]: Taking taylor expansion of (/ (fabs (/ -1 im)) re) in re 11.917 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 11.917 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 11.917 * [taylor]: Taking taylor expansion of re in re 11.917 * [backup-simplify]: Simplify 0 into 0 11.917 * [backup-simplify]: Simplify 1 into 1 11.917 * [backup-simplify]: Simplify (/ (fabs (/ -1 im)) 1) into (fabs (/ -1 im)) 11.917 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.918 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (fabs (/ -1 im)) (/ 0 1)))) into 0 11.918 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (fabs (/ -1 im)))) into 0 11.918 * [backup-simplify]: Simplify (* +nan.0 (fabs (/ -1 im))) into (* +nan.0 (fabs (/ -1 im))) 11.918 * [backup-simplify]: Simplify (- (* +nan.0 (fabs (/ -1 im)))) into (- (* +nan.0 (fabs (/ -1 im)))) 11.918 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (fabs (/ -1 im))))) into (- (* +nan.0 (fabs (/ -1 im)))) 11.919 * [backup-simplify]: Simplify (- (- (* +nan.0 (fabs (/ -1 im))))) into (- (* +nan.0 (fabs (/ -1 im)))) 11.919 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (fabs (/ -1 im))))) into (- (* +nan.0 (fabs (/ -1 im)))) 11.919 * [backup-simplify]: Simplify (- (- (* +nan.0 (fabs (/ -1 im))))) into (- (* +nan.0 (fabs (/ -1 im)))) 11.919 * [backup-simplify]: Simplify (- (* +nan.0 (fabs (/ -1 im)))) into (- (* +nan.0 (fabs (/ -1 im)))) 11.920 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (fabs (/ -1 (/ 1 (- im)))))) (* (/ 1 (/ 1 (- re))) (pow (/ 1 (- im)) 3))) (+ (* (- (* +nan.0 (fabs (/ -1 (/ 1 (- im)))))) (* 1 (/ 1 (- im)))) (* (- (* +nan.0 (fabs (/ -1 (/ 1 (- im)))))) (* (/ 1 (/ 1 (- re))) (pow (/ 1 (- im)) 2))))) into (- (+ (* +nan.0 (/ (fabs im) im)) (- (+ (* +nan.0 (/ (* (fabs im) re) (pow im 2))) (- (* +nan.0 (/ (* (fabs im) re) (pow im 3)))))))) 11.920 * * * [progress]: simplifying candidates 11.922 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (+ (log (sqrt 2.0)) (- (log (fabs im)) (log (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (+ (log (sqrt 2.0)) (log (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (log (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (exp (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (/ (* (* (fabs im) (fabs im)) (fabs im)) (* (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (cbrt (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))) (cbrt (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (* (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (sqrt (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (sqrt (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (sqrt (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (sqrt (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt 2.0) (* (cbrt (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (sqrt 2.0) (sqrt (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt 2.0) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (sqrt 2.0) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (sqrt 2.0) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt 2.0) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt 1))) (* (sqrt 2.0) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt 1))) (* (sqrt 2.0) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt 2.0) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) 1)) (* (sqrt 2.0) (/ (sqrt (fabs im)) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (sqrt 2.0) (/ (sqrt (fabs im)) (sqrt (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (sqrt 2.0) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt 2.0) (/ (sqrt (fabs im)) (sqrt 1))) (* (sqrt 2.0) (/ (sqrt (fabs im)) (sqrt 1))) (* (sqrt 2.0) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt 2.0) (/ (sqrt (fabs im)) 1)) (* (sqrt 2.0) (/ 1 (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (sqrt 2.0) (/ 1 (sqrt (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (sqrt 2.0) (/ 1 (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt 2.0) (/ 1 (sqrt 1))) (* (sqrt 2.0) (/ 1 (sqrt 1))) (* (sqrt 2.0) (/ 1 (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt 2.0) (/ 1 1)) (* (sqrt 2.0) 1) (* (sqrt 2.0) (fabs im)) (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))) (* (sqrt 2.0) (/ (fabs im) (sqrt (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))))) (* (cbrt (sqrt 2.0)) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (cbrt 2.0)) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (sqrt 2.0)) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (sqrt 2.0)) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt 2.0) (fabs im)) (- (log (fabs im)) (log (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (log (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (* (* (fabs im) (fabs im)) (fabs im)) (* (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (* (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (- (fabs im)) (- (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (cbrt (fabs im)) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (cbrt (fabs im)) (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt 1)) (/ (cbrt (fabs im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt 1)) (/ (cbrt (fabs im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) 1) (/ (cbrt (fabs im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (fabs im)) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (sqrt (fabs im)) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (fabs im)) (sqrt (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (sqrt (fabs im)) (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (fabs im)) (sqrt 1)) (/ (sqrt (fabs im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (fabs im)) (sqrt 1)) (/ (sqrt (fabs im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (fabs im)) 1) (/ (sqrt (fabs im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ 1 (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (fabs im) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ 1 (sqrt (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (fabs im) (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ 1 (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ 1 (sqrt 1)) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ 1 (sqrt 1)) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ 1 (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ 1 1) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ 1 (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (fabs im)) (/ (fabs im) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (fabs im) (sqrt (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (fabs im) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt 1)) (/ (fabs im) (sqrt 1)) (/ (fabs im) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) 1) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (fabs im))) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (fabs im))) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (fabs im)) (/ (fabs im) (sqrt (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (/ (fabs im) (sqrt (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) im re (* -1 re) (+ re im) (* 2 re) 0 (- (+ (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) (pow im 2))) (sqrt 1/2))) (- (+ (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 1/2)))) (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (* (sqrt 1/2) re))))))))) (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow im 3))) (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) im)) (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow im 2)))))))) (- (+ (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) re)) (pow im 2))) (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) im)) (- (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) re)) (pow im 3)))))))) (- (+ (* +nan.0 (/ (* (fabs im) (pow im 2)) (sqrt 1/2))) (- (+ (* +nan.0 (* (fabs im) (* re (sqrt 1/2)))) (- (* +nan.0 (* (fabs im) (sqrt 1/2)))))))) (- (+ (* +nan.0 (/ (fabs im) im)) (- (+ (* +nan.0 (/ (fabs im) (pow im 2))) (- (* +nan.0 (/ (fabs im) (pow im 3)))))))) (- (+ (* +nan.0 (/ (fabs im) im)) (- (+ (* +nan.0 (/ (* (fabs im) re) (pow im 2))) (- (* +nan.0 (/ (* (fabs im) re) (pow im 3)))))))) 11.926 * * [simplify]: Extracting # 0 : cost 0 11.926 * * [simplify]: Extracting # 1 : cost 0 11.927 * * [simplify]: Extracting # 2 : cost 0 11.927 * * [simplify]: Extracting # 3 : cost 0 11.927 * * [simplify]: Extracting # 4 : cost 0 11.927 * * [simplify]: Extracting # 5 : cost 0 11.928 * * [simplify]: Extracting # 6 : cost 0 11.928 * * [simplify]: Extracting # 7 : cost 0 11.928 * * [simplify]: Extracting # 8 : cost 0 11.928 * * [simplify]: Extracting # 9 : cost 0 11.929 * * [simplify]: Extracting # 10 : cost 0 11.929 * * [simplify]: Extracting # 11 : cost 0 11.929 * * [simplify]: Extracting # 12 : cost 0 11.930 * * [simplify]: Extracting # 13 : cost 0 11.930 * * [simplify]: Extracting # 14 : cost 0 11.930 * * [simplify]: Extracting # 15 : cost 0 11.931 * * [simplify]: iteration 0 : 248 enodes (cost 2920 ) 12.021 * * [simplify]: Extracting # 0 : cost 0 12.022 * * [simplify]: Extracting # 1 : cost 0 12.024 * * [simplify]: Extracting # 2 : cost 0 12.025 * * [simplify]: Extracting # 3 : cost 0 12.027 * * [simplify]: Extracting # 4 : cost 0 12.028 * * [simplify]: iteration 1 : 598 enodes (cost 2628 ) 12.345 * * [simplify]: Extracting # 0 : cost 0 12.357 * * [simplify]: Extracting # 1 : cost 0 12.362 * * [simplify]: Extracting # 2 : cost 0 12.366 * * [simplify]: Extracting # 3 : cost 0 12.371 * * [simplify]: Extracting # 4 : cost 0 12.375 * * [simplify]: iteration 2 : 2009 enodes (cost 2460 ) 13.399 * * [simplify]: Extracting # 0 : cost 0 13.405 * * [simplify]: Extracting # 1 : cost 0 13.411 * * [simplify]: Extracting # 2 : cost 0 13.418 * * [simplify]: Extracting # 3 : cost 0 13.423 * * [simplify]: Extracting # 4 : cost 0 13.432 * * [simplify]: iteration done: 5000 enodes (cost 2407 ) 13.434 * [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)) (+ (* re (+ (- re (sqrt (+ (* re re) (* im im)))) re)) (* im im)) (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (log (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (log (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (log (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (exp (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (pow (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) 3) (pow (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) 3) (* (cbrt (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))) (cbrt (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (pow (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) 3) (sqrt (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (sqrt (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (sqrt (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (sqrt (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (sqrt (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt 2.0) (* (cbrt (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (sqrt 2.0) (sqrt (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt 2.0) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (fabs (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0)) (* (sqrt 2.0) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt 2.0) (* (cbrt (fabs im)) (cbrt (fabs im)))) (* (sqrt 2.0) (* (cbrt (fabs im)) (cbrt (fabs im)))) (* (sqrt 2.0) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt 2.0) (* (cbrt (fabs im)) (cbrt (fabs im)))) (* (sqrt 2.0) (/ (sqrt (fabs im)) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))) (/ (* (sqrt (fabs im)) (sqrt 2.0)) (fabs (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt 2.0) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (fabs im)) (sqrt 2.0)) (* (sqrt (fabs im)) (sqrt 2.0)) (* (sqrt 2.0) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (fabs im)) (sqrt 2.0)) (/ (sqrt 2.0) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (sqrt 2.0) (fabs (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt 2.0) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0) (sqrt 2.0) (/ (sqrt 2.0) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0) (sqrt 2.0) (* (fabs im) (sqrt 2.0)) (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))) (/ (* (fabs im) (sqrt 2.0)) (sqrt (+ (* im im) 0))) (* (cbrt (sqrt 2.0)) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (cbrt 2.0)) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (sqrt 2.0)) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (sqrt 2.0)) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt 2.0) (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (fabs im) (sqrt 2.0)) (log (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (log (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (pow (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) 3) (* (cbrt (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (pow (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) 3) (sqrt (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (- (fabs im)) (- (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (* (cbrt (fabs im)) (/ (cbrt (fabs im)) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (fabs im)) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (/ (cbrt (fabs im)) (fabs (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (fabs im))) (/ (cbrt (fabs im)) (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (/ (cbrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (fabs im))) (/ (cbrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im 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im)) (/ (sqrt (fabs im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (fabs im)) (/ (sqrt (fabs im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (fabs im)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (fabs im)) (/ (sqrt (fabs im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (/ 1 (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ 1 (fabs (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ 1 (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) 1 (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) 1 (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ 1 (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) 1 (/ (fabs im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ 1 (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (fabs im)) (/ (fabs im) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (/ (fabs im) (fabs (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (fabs im) (fabs im) (/ (fabs im) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (fabs im) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (fabs im))) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (fabs im))) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (fabs im)) (/ (fabs im) (sqrt (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (/ (fabs im) (sqrt (+ (* im im) 0))) im re (- re) (+ re im) (* 2 re) 0 (* +nan.0 (+ (- (/ (* (fabs im) (* (sqrt 2.0) (pow im 2))) (sqrt 1/2))) (* (fabs im) (* (* (sqrt 2.0) (sqrt 1/2)) (- 1 re))))) (* +nan.0 (+ (* (/ (fabs im) im) (- (sqrt 2.0) (/ (sqrt 2.0) im))) (- (/ (* (fabs im) (sqrt 2.0)) (pow im 3))))) (+ (/ (* +nan.0 (fabs im)) (/ im (sqrt 2.0))) (- (* (/ (* (fabs im) (* (sqrt 2.0) re)) (pow im 2)) (+ (/ +nan.0 im) +nan.0)))) (* +nan.0 (+ (- (/ (* (fabs im) (pow im 2)) (sqrt 1/2))) (* (fabs im) (- (* re (sqrt 1/2)) (sqrt 1/2))))) (+ (- (* +nan.0 (/ (fabs im) im))) (* (/ (fabs im) (pow im 2)) (- +nan.0 (/ +nan.0 im)))) (* +nan.0 (+ (- (/ (fabs im) im)) (* (/ (fabs im) (pow im 2)) (- re (/ re im))))) 13.436 * * * [progress]: adding candidates to table 14.083 * [progress]: [Phase 3 of 3] Extracting. 14.083 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 14.089 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re) 14.089 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # # # # #) 14.208 * * * * [regimes]: Trying to branch on (* im im) from (# # # #) 14.246 * * * * [regimes]: Trying to branch on im from (# # # # # # # # # # #) 14.376 * * * * [regimes]: Trying to branch on re from (# # # # # # # # # # #) 14.437 * * * [regime]: Found split indices: #