5.476 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.087 * * * [progress]: [2/2] Setting up program. 0.090 * [progress]: [Phase 2 of 3] Improving. 0.090 * [simplify]: Simplifying using # : (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 0.091 * * [simplify]: iteration 0 : 10 enodes (cost 11 ) 0.093 * * [simplify]: iteration 1 : 23 enodes (cost 11 ) 0.096 * * [simplify]: iteration 2 : 58 enodes (cost 11 ) 0.105 * * [simplify]: iteration 3 : 108 enodes (cost 11 ) 0.127 * * [simplify]: iteration 4 : 253 enodes (cost 11 ) 0.202 * * [simplify]: iteration 5 : 389 enodes (cost 11 ) 0.385 * * [simplify]: iteration 6 : 530 enodes (cost 11 ) 0.695 * * [simplify]: iteration 7 : 809 enodes (cost 11 ) 1.415 * * [simplify]: iteration 8 : 1323 enodes (cost 11 ) 3.500 * * [simplify]: iteration done : 5000 enodes (cost 11 ) 3.500 * [simplify]: Simplified to: (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3.500 * * [progress]: iteration 1 / 4 3.500 * * * [progress]: picking best candidate 3.503 * * * * [pick]: Picked # 3.503 * * * [progress]: localizing error 3.513 * * * [progress]: generating rewritten candidates 3.513 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 3.544 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 3.554 * * * [progress]: generating series expansions 3.555 * * * * [progress]: [ 1 / 2 ] generating series at (2) 3.555 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in (re im) around 0 3.555 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in im 3.555 * [taylor]: Taking taylor expansion of 0.5 in im 3.555 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in im 3.555 * [taylor]: Taking taylor expansion of (cos re) in im 3.555 * [taylor]: Taking taylor expansion of re in im 3.555 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 3.555 * [taylor]: Taking taylor expansion of (exp im) in im 3.555 * [taylor]: Taking taylor expansion of im in im 3.555 * [taylor]: Taking taylor expansion of (exp (- im)) in im 3.555 * [taylor]: Taking taylor expansion of (- im) in im 3.555 * [taylor]: Taking taylor expansion of im in im 3.556 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 3.556 * [taylor]: Taking taylor expansion of 0.5 in re 3.556 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 3.556 * [taylor]: Taking taylor expansion of (cos re) in re 3.556 * [taylor]: Taking taylor expansion of re in re 3.556 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 3.556 * [taylor]: Taking taylor expansion of (exp im) in re 3.556 * [taylor]: Taking taylor expansion of im in re 3.556 * [taylor]: Taking taylor expansion of (exp (- im)) in re 3.556 * [taylor]: Taking taylor expansion of (- im) in re 3.556 * [taylor]: Taking taylor expansion of im in re 3.556 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 3.556 * [taylor]: Taking taylor expansion of 0.5 in re 3.556 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 3.556 * [taylor]: Taking taylor expansion of (cos re) in re 3.556 * [taylor]: Taking taylor expansion of re in re 3.556 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 3.556 * [taylor]: Taking taylor expansion of (exp im) in re 3.556 * [taylor]: Taking taylor expansion of im in re 3.556 * [taylor]: Taking taylor expansion of (exp (- im)) in re 3.556 * [taylor]: Taking taylor expansion of (- im) in re 3.556 * [taylor]: Taking taylor expansion of im in re 3.557 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im 3.557 * [taylor]: Taking taylor expansion of 0.5 in im 3.557 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 3.557 * [taylor]: Taking taylor expansion of (exp im) in im 3.557 * [taylor]: Taking taylor expansion of im in im 3.557 * [taylor]: Taking taylor expansion of (exp (- im)) in im 3.557 * [taylor]: Taking taylor expansion of (- im) in im 3.557 * [taylor]: Taking taylor expansion of im in im 3.560 * [taylor]: Taking taylor expansion of 0 in im 3.566 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) in im 3.566 * [taylor]: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) in im 3.566 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 3.566 * [taylor]: Taking taylor expansion of 0.25 in im 3.566 * [taylor]: Taking taylor expansion of (exp im) in im 3.566 * [taylor]: Taking taylor expansion of im in im 3.566 * [taylor]: Taking taylor expansion of (* 0.25 (exp (- im))) in im 3.566 * [taylor]: Taking taylor expansion of 0.25 in im 3.566 * [taylor]: Taking taylor expansion of (exp (- im)) in im 3.566 * [taylor]: Taking taylor expansion of (- im) in im 3.566 * [taylor]: Taking taylor expansion of im in im 3.572 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in (re im) around 0 3.572 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 3.572 * [taylor]: Taking taylor expansion of 0.5 in im 3.572 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 3.572 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 3.572 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.572 * [taylor]: Taking taylor expansion of re in im 3.572 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 3.572 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 3.572 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 3.572 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.573 * [taylor]: Taking taylor expansion of im in im 3.573 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 3.573 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.573 * [taylor]: Taking taylor expansion of im in im 3.573 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 3.573 * [taylor]: Taking taylor expansion of 0.5 in re 3.573 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 3.573 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 3.573 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.574 * [taylor]: Taking taylor expansion of re in re 3.574 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 3.574 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 3.574 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 3.574 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.574 * [taylor]: Taking taylor expansion of im in re 3.574 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 3.574 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.574 * [taylor]: Taking taylor expansion of im in re 3.574 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 3.574 * [taylor]: Taking taylor expansion of 0.5 in re 3.574 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 3.574 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 3.574 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.574 * [taylor]: Taking taylor expansion of re in re 3.574 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 3.575 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 3.575 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 3.575 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.575 * [taylor]: Taking taylor expansion of im in re 3.575 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 3.575 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.575 * [taylor]: Taking taylor expansion of im in re 3.575 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 3.575 * [taylor]: Taking taylor expansion of 0.5 in im 3.575 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 3.575 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 3.575 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.575 * [taylor]: Taking taylor expansion of re in im 3.575 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 3.575 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 3.575 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 3.575 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.575 * [taylor]: Taking taylor expansion of im in im 3.576 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 3.576 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.576 * [taylor]: Taking taylor expansion of im in im 3.579 * [taylor]: Taking taylor expansion of 0 in im 3.585 * [taylor]: Taking taylor expansion of 0 in im 3.593 * [taylor]: Taking taylor expansion of 0 in im 3.594 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in (re im) around 0 3.594 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 3.594 * [taylor]: Taking taylor expansion of 0.5 in im 3.594 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 3.594 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 3.594 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 3.594 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.594 * [taylor]: Taking taylor expansion of -1 in im 3.594 * [taylor]: Taking taylor expansion of im in im 3.594 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 3.594 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.594 * [taylor]: Taking taylor expansion of im in im 3.595 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 3.595 * [taylor]: Taking taylor expansion of (/ -1 re) in im 3.595 * [taylor]: Taking taylor expansion of -1 in im 3.595 * [taylor]: Taking taylor expansion of re in im 3.595 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 3.595 * [taylor]: Taking taylor expansion of 0.5 in re 3.595 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 3.595 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 3.595 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 3.595 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.595 * [taylor]: Taking taylor expansion of -1 in re 3.595 * [taylor]: Taking taylor expansion of im in re 3.595 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 3.595 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.595 * [taylor]: Taking taylor expansion of im in re 3.595 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 3.595 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.595 * [taylor]: Taking taylor expansion of -1 in re 3.595 * [taylor]: Taking taylor expansion of re in re 3.596 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 3.596 * [taylor]: Taking taylor expansion of 0.5 in re 3.596 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 3.596 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 3.596 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 3.596 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.596 * [taylor]: Taking taylor expansion of -1 in re 3.596 * [taylor]: Taking taylor expansion of im in re 3.596 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 3.596 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.596 * [taylor]: Taking taylor expansion of im in re 3.596 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 3.596 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.596 * [taylor]: Taking taylor expansion of -1 in re 3.596 * [taylor]: Taking taylor expansion of re in re 3.597 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 3.597 * [taylor]: Taking taylor expansion of 0.5 in im 3.597 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 3.597 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 3.597 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 3.597 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.597 * [taylor]: Taking taylor expansion of -1 in im 3.597 * [taylor]: Taking taylor expansion of im in im 3.597 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 3.597 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.597 * [taylor]: Taking taylor expansion of im in im 3.597 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 3.597 * [taylor]: Taking taylor expansion of (/ -1 re) in im 3.598 * [taylor]: Taking taylor expansion of -1 in im 3.598 * [taylor]: Taking taylor expansion of re in im 3.600 * [taylor]: Taking taylor expansion of 0 in im 3.606 * [taylor]: Taking taylor expansion of 0 in im 3.613 * [taylor]: Taking taylor expansion of 0 in im 3.613 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 3.614 * [approximate]: Taking taylor expansion of (+ (exp im) (exp (- im))) in (im) around 0 3.614 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 3.614 * [taylor]: Taking taylor expansion of (exp im) in im 3.614 * [taylor]: Taking taylor expansion of im in im 3.614 * [taylor]: Taking taylor expansion of (exp (- im)) in im 3.614 * [taylor]: Taking taylor expansion of (- im) in im 3.614 * [taylor]: Taking taylor expansion of im in im 3.614 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 3.614 * [taylor]: Taking taylor expansion of (exp im) in im 3.614 * [taylor]: Taking taylor expansion of im in im 3.614 * [taylor]: Taking taylor expansion of (exp (- im)) in im 3.614 * [taylor]: Taking taylor expansion of (- im) in im 3.614 * [taylor]: Taking taylor expansion of im in im 3.632 * [approximate]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in (im) around 0 3.632 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 3.632 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 3.632 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 3.632 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.632 * [taylor]: Taking taylor expansion of im in im 3.633 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 3.633 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.633 * [taylor]: Taking taylor expansion of im in im 3.633 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 3.633 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 3.633 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 3.633 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.633 * [taylor]: Taking taylor expansion of im in im 3.634 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 3.634 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.634 * [taylor]: Taking taylor expansion of im in im 3.636 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0 3.636 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 3.636 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 3.636 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.636 * [taylor]: Taking taylor expansion of -1 in im 3.636 * [taylor]: Taking taylor expansion of im in im 3.636 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 3.636 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.636 * [taylor]: Taking taylor expansion of im in im 3.637 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 3.637 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 3.637 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.637 * [taylor]: Taking taylor expansion of -1 in im 3.637 * [taylor]: Taking taylor expansion of im in im 3.637 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 3.637 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.637 * [taylor]: Taking taylor expansion of im in im 3.639 * * * [progress]: simplifying candidates 3.640 * [simplify]: Simplifying using # : (expm1 (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (log1p (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (+ (+ (log 0.5) (log (cos re))) (log (+ (exp (- im)) (exp im)))) (+ (log (* 0.5 (cos re))) (log (+ (exp (- im)) (exp im)))) (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (* (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (+ (exp (- im)) (exp im)) (+ (exp (- im)) (exp im))) (+ (exp (- im)) (exp im)))) (* (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (+ (exp (- im)) (exp im)) (+ (exp (- im)) (exp im))) (+ (exp (- im)) (exp im)))) (* (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (* (* (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (* (* 0.5 (cos re)) (exp (- im))) (* (* 0.5 (cos re)) (exp im)) (* (exp (- im)) (* 0.5 (cos re))) (* (exp im) (* 0.5 (cos re))) (* (* 0.5 (cos re)) (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im))))) (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (* (* 0.5 (cos re)) 1) (* (* 0.5 (cos re)) 1) (* (cos re) (+ (exp (- im)) (exp im))) (* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (* (* 0.5 (cos re)) (- (* (exp (- im)) (exp (- im))) (* (exp im) (exp im)))) (expm1 (+ (exp (- im)) (exp im))) (log1p (+ (exp (- im)) (exp im))) (* (exp (exp (- im))) (exp (exp im))) (log (+ (exp (- im)) (exp im))) (exp (+ (exp (- im)) (exp im))) (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im)))) (cbrt (+ (exp (- im)) (exp im))) (* (* (+ (exp (- im)) (exp im)) (+ (exp (- im)) (exp im))) (+ (exp (- im)) (exp im))) (sqrt (+ (exp (- im)) (exp im))) (sqrt (+ (exp (- im)) (exp im))) (+ (pow (exp (- im)) 3) (pow (exp im) 3)) (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (- (* (exp (- im)) (exp (- im))) (* (exp im) (exp im))) (- (exp (- im)) (exp im)) (+ (exp (- im)) (exp im)) (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2))) (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re))) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (exp im) (exp (- im))) (+ (exp (* -1 im)) (exp im)) 3.643 * * [simplify]: iteration 0 : 91 enodes (cost 586 ) 3.660 * * [simplify]: iteration 1 : 263 enodes (cost 566 ) 3.723 * * [simplify]: iteration 2 : 1062 enodes (cost 476 ) 4.098 * * [simplify]: iteration done : 5001 enodes (cost 476 ) 4.099 * [simplify]: Simplified to: (expm1 (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (log1p (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (* (+ (exp (- im)) (exp im)) (* 0.5 (cos re))) (* (+ (exp (- im)) (exp im)) (* 0.5 (cos re))) (log (* 0.5 (* (cos re) (+ (exp im) (exp (- im)))))) (log (* 0.5 (* (cos re) (+ (exp im) (exp (- im)))))) (log (* 0.5 (* (cos re) (+ (exp im) (exp (- im)))))) (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (pow (* (+ (exp (- im)) (exp im)) (* 0.5 (cos re))) 3) (pow (* (+ (exp (- im)) (exp im)) (* 0.5 (cos re))) 3) (* (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (pow (* (+ (exp (- im)) (exp im)) (* 0.5 (cos re))) 3) (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (* (/ (cos re) (exp im)) 0.5) (* (exp im) (* 0.5 (cos re))) (* (/ (cos re) (exp im)) 0.5) (* (exp im) (* 0.5 (cos re))) (* (* 0.5 (cos re)) (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im))))) (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (* 0.5 (cos re)) (* 0.5 (cos re)) (* (+ (exp im) (exp (- im))) (cos re)) (* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (* (* (- (exp (* im -2)) (exp (+ im im))) 0.5) (cos re)) (expm1 (+ (exp (- im)) (exp im))) (log1p (+ (exp (- im)) (exp im))) (exp (+ (exp (- im)) (exp im))) (log (+ (exp (- im)) (exp im))) (exp (+ (exp (- im)) (exp im))) (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im)))) (cbrt (+ (exp (- im)) (exp im))) (pow (+ (exp (- im)) (exp im)) 3) (sqrt (+ (exp (- im)) (exp im))) (sqrt (+ (exp (- im)) (exp im))) (+ (pow (exp (- im)) 3) (pow (exp im) 3)) (+ (exp (+ im im)) (+ -1 (exp (* im -2)))) (- (exp (* im -2)) (exp (+ im im))) (- (exp (- im)) (exp im)) (+ (exp (- im)) (exp im)) (- (fma 0.5 (pow im 2) 1.0) (* 0.5 (pow re 2))) (* (+ (exp (- im)) (exp im)) (* 0.5 (cos re))) (* (+ (exp (- im)) (exp im)) (* 0.5 (cos re))) (fma (pow im 4) 1/12 (fma im im 2)) (+ (exp (- im)) (exp im)) (+ (exp (- im)) (exp im)) 4.099 * * * [progress]: adding candidates to table 4.210 * * [progress]: iteration 2 / 4 4.210 * * * [progress]: picking best candidate 4.222 * * * * [pick]: Picked # 4.222 * * * [progress]: localizing error 4.232 * * * [progress]: generating rewritten candidates 4.232 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 4.241 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 4.248 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 4.253 * * * [progress]: generating series expansions 4.253 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 4.254 * [approximate]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in (im re) around 0 4.254 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 4.254 * [taylor]: Taking taylor expansion of 0.5 in re 4.254 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 4.254 * [taylor]: Taking taylor expansion of (exp im) in re 4.254 * [taylor]: Taking taylor expansion of im in re 4.254 * [taylor]: Taking taylor expansion of (cos re) in re 4.254 * [taylor]: Taking taylor expansion of re in re 4.254 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in im 4.254 * [taylor]: Taking taylor expansion of 0.5 in im 4.254 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in im 4.254 * [taylor]: Taking taylor expansion of (exp im) in im 4.254 * [taylor]: Taking taylor expansion of im in im 4.254 * [taylor]: Taking taylor expansion of (cos re) in im 4.254 * [taylor]: Taking taylor expansion of re in im 4.254 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in im 4.254 * [taylor]: Taking taylor expansion of 0.5 in im 4.254 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in im 4.254 * [taylor]: Taking taylor expansion of (exp im) in im 4.254 * [taylor]: Taking taylor expansion of im in im 4.254 * [taylor]: Taking taylor expansion of (cos re) in im 4.254 * [taylor]: Taking taylor expansion of re in im 4.255 * [taylor]: Taking taylor expansion of (* 0.5 (cos re)) in re 4.255 * [taylor]: Taking taylor expansion of 0.5 in re 4.255 * [taylor]: Taking taylor expansion of (cos re) in re 4.255 * [taylor]: Taking taylor expansion of re in re 4.259 * [taylor]: Taking taylor expansion of (* 0.5 (cos re)) in re 4.259 * [taylor]: Taking taylor expansion of 0.5 in re 4.259 * [taylor]: Taking taylor expansion of (cos re) in re 4.259 * [taylor]: Taking taylor expansion of re in re 4.267 * [taylor]: Taking taylor expansion of (* 0.25 (cos re)) in re 4.267 * [taylor]: Taking taylor expansion of 0.25 in re 4.267 * [taylor]: Taking taylor expansion of (cos re) in re 4.267 * [taylor]: Taking taylor expansion of re in re 4.268 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in (im re) around 0 4.268 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 4.268 * [taylor]: Taking taylor expansion of 0.5 in re 4.268 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 4.268 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 4.268 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.268 * [taylor]: Taking taylor expansion of re in re 4.268 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 4.268 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.268 * [taylor]: Taking taylor expansion of im in re 4.269 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 4.269 * [taylor]: Taking taylor expansion of 0.5 in im 4.269 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 4.269 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 4.269 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.269 * [taylor]: Taking taylor expansion of re in im 4.269 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 4.269 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.269 * [taylor]: Taking taylor expansion of im in im 4.269 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 4.269 * [taylor]: Taking taylor expansion of 0.5 in im 4.269 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 4.270 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 4.270 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.270 * [taylor]: Taking taylor expansion of re in im 4.270 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 4.270 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.270 * [taylor]: Taking taylor expansion of im in im 4.271 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 4.271 * [taylor]: Taking taylor expansion of 0.5 in re 4.271 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 4.271 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 4.271 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.271 * [taylor]: Taking taylor expansion of re in re 4.272 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 4.272 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.272 * [taylor]: Taking taylor expansion of im in re 4.276 * [taylor]: Taking taylor expansion of 0 in re 4.283 * [taylor]: Taking taylor expansion of 0 in re 4.292 * [taylor]: Taking taylor expansion of 0 in re 4.293 * [approximate]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in (im re) around 0 4.293 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 4.293 * [taylor]: Taking taylor expansion of 0.5 in re 4.293 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 4.293 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 4.293 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.293 * [taylor]: Taking taylor expansion of -1 in re 4.293 * [taylor]: Taking taylor expansion of im in re 4.293 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 4.293 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.293 * [taylor]: Taking taylor expansion of -1 in re 4.293 * [taylor]: Taking taylor expansion of re in re 4.294 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 4.294 * [taylor]: Taking taylor expansion of 0.5 in im 4.294 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 4.294 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 4.294 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.294 * [taylor]: Taking taylor expansion of -1 in im 4.294 * [taylor]: Taking taylor expansion of im in im 4.294 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 4.294 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.294 * [taylor]: Taking taylor expansion of -1 in im 4.294 * [taylor]: Taking taylor expansion of re in im 4.294 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 4.295 * [taylor]: Taking taylor expansion of 0.5 in im 4.295 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 4.295 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 4.295 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.295 * [taylor]: Taking taylor expansion of -1 in im 4.295 * [taylor]: Taking taylor expansion of im in im 4.295 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 4.295 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.295 * [taylor]: Taking taylor expansion of -1 in im 4.295 * [taylor]: Taking taylor expansion of re in im 4.296 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 4.296 * [taylor]: Taking taylor expansion of 0.5 in re 4.296 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 4.296 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 4.296 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.296 * [taylor]: Taking taylor expansion of -1 in re 4.297 * [taylor]: Taking taylor expansion of im in re 4.297 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 4.297 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.297 * [taylor]: Taking taylor expansion of -1 in re 4.297 * [taylor]: Taking taylor expansion of re in re 4.301 * [taylor]: Taking taylor expansion of 0 in re 4.305 * [taylor]: Taking taylor expansion of 0 in re 4.311 * [taylor]: Taking taylor expansion of 0 in re 4.311 * * * * [progress]: [ 2 / 3 ] generating series at (2) 4.311 * [approximate]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in (re im) around 0 4.311 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in im 4.311 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in im 4.311 * [taylor]: Taking taylor expansion of 0.5 in im 4.311 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in im 4.311 * [taylor]: Taking taylor expansion of (exp im) in im 4.311 * [taylor]: Taking taylor expansion of im in im 4.311 * [taylor]: Taking taylor expansion of (cos re) in im 4.311 * [taylor]: Taking taylor expansion of re in im 4.311 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in im 4.311 * [taylor]: Taking taylor expansion of 0.5 in im 4.311 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in im 4.312 * [taylor]: Taking taylor expansion of (cos re) in im 4.312 * [taylor]: Taking taylor expansion of re in im 4.312 * [taylor]: Taking taylor expansion of (exp im) in im 4.312 * [taylor]: Taking taylor expansion of im in im 4.312 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in re 4.312 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 4.312 * [taylor]: Taking taylor expansion of 0.5 in re 4.312 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 4.312 * [taylor]: Taking taylor expansion of (exp im) in re 4.312 * [taylor]: Taking taylor expansion of im in re 4.312 * [taylor]: Taking taylor expansion of (cos re) in re 4.312 * [taylor]: Taking taylor expansion of re in re 4.312 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 4.312 * [taylor]: Taking taylor expansion of 0.5 in re 4.312 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 4.312 * [taylor]: Taking taylor expansion of (cos re) in re 4.312 * [taylor]: Taking taylor expansion of re in re 4.312 * [taylor]: Taking taylor expansion of (exp im) in re 4.312 * [taylor]: Taking taylor expansion of im in re 4.312 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in re 4.312 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 4.312 * [taylor]: Taking taylor expansion of 0.5 in re 4.312 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 4.312 * [taylor]: Taking taylor expansion of (exp im) in re 4.312 * [taylor]: Taking taylor expansion of im in re 4.312 * [taylor]: Taking taylor expansion of (cos re) in re 4.312 * [taylor]: Taking taylor expansion of re in re 4.312 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 4.313 * [taylor]: Taking taylor expansion of 0.5 in re 4.313 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 4.313 * [taylor]: Taking taylor expansion of (cos re) in re 4.313 * [taylor]: Taking taylor expansion of re in re 4.313 * [taylor]: Taking taylor expansion of (exp im) in re 4.313 * [taylor]: Taking taylor expansion of im in re 4.313 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (exp im))) (* 0.5 (exp im))) in im 4.313 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (exp im))) in im 4.313 * [taylor]: Taking taylor expansion of 0.5 in im 4.313 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 4.313 * [taylor]: Taking taylor expansion of (exp im) in im 4.313 * [taylor]: Taking taylor expansion of im in im 4.313 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 4.313 * [taylor]: Taking taylor expansion of 0.5 in im 4.313 * [taylor]: Taking taylor expansion of (exp im) in im 4.313 * [taylor]: Taking taylor expansion of im in im 4.317 * [taylor]: Taking taylor expansion of 0 in im 4.327 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (/ 1 (exp im))) (* 0.25 (exp im)))) in im 4.327 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ 1 (exp im))) (* 0.25 (exp im))) in im 4.327 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (exp im))) in im 4.327 * [taylor]: Taking taylor expansion of 0.25 in im 4.328 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 4.328 * [taylor]: Taking taylor expansion of (exp im) in im 4.328 * [taylor]: Taking taylor expansion of im in im 4.328 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 4.328 * [taylor]: Taking taylor expansion of 0.25 in im 4.328 * [taylor]: Taking taylor expansion of (exp im) in im 4.328 * [taylor]: Taking taylor expansion of im in im 4.335 * [approximate]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in (re im) around 0 4.335 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in im 4.335 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 4.335 * [taylor]: Taking taylor expansion of 0.5 in im 4.335 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 4.335 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 4.335 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.335 * [taylor]: Taking taylor expansion of re in im 4.335 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 4.335 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.335 * [taylor]: Taking taylor expansion of im in im 4.335 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 4.335 * [taylor]: Taking taylor expansion of 0.5 in im 4.335 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 4.335 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 4.335 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.335 * [taylor]: Taking taylor expansion of re in im 4.335 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 4.335 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.335 * [taylor]: Taking taylor expansion of im in im 4.336 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in re 4.336 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 4.336 * [taylor]: Taking taylor expansion of 0.5 in re 4.336 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 4.336 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 4.336 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.336 * [taylor]: Taking taylor expansion of re in re 4.336 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 4.336 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.337 * [taylor]: Taking taylor expansion of im in re 4.337 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 4.337 * [taylor]: Taking taylor expansion of 0.5 in re 4.337 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 4.337 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 4.337 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.337 * [taylor]: Taking taylor expansion of re in re 4.337 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 4.337 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.337 * [taylor]: Taking taylor expansion of im in re 4.337 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in re 4.337 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 4.337 * [taylor]: Taking taylor expansion of 0.5 in re 4.337 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 4.337 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 4.337 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.337 * [taylor]: Taking taylor expansion of re in re 4.338 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 4.338 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.338 * [taylor]: Taking taylor expansion of im in re 4.338 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 4.338 * [taylor]: Taking taylor expansion of 0.5 in re 4.338 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 4.338 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 4.338 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.338 * [taylor]: Taking taylor expansion of re in re 4.338 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 4.338 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.338 * [taylor]: Taking taylor expansion of im in re 4.339 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in im 4.339 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 4.339 * [taylor]: Taking taylor expansion of 0.5 in im 4.339 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 4.339 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 4.339 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.339 * [taylor]: Taking taylor expansion of re in im 4.339 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 4.339 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.339 * [taylor]: Taking taylor expansion of im in im 4.339 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 4.339 * [taylor]: Taking taylor expansion of 0.5 in im 4.339 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 4.339 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 4.339 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.339 * [taylor]: Taking taylor expansion of re in im 4.339 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 4.339 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.339 * [taylor]: Taking taylor expansion of im in im 4.343 * [taylor]: Taking taylor expansion of 0 in im 4.351 * [taylor]: Taking taylor expansion of 0 in im 4.362 * [taylor]: Taking taylor expansion of 0 in im 4.362 * [approximate]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in (re im) around 0 4.363 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in im 4.363 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 4.363 * [taylor]: Taking taylor expansion of 0.5 in im 4.363 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 4.363 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 4.363 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.363 * [taylor]: Taking taylor expansion of -1 in im 4.363 * [taylor]: Taking taylor expansion of re in im 4.363 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 4.363 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.363 * [taylor]: Taking taylor expansion of -1 in im 4.363 * [taylor]: Taking taylor expansion of im in im 4.364 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 4.364 * [taylor]: Taking taylor expansion of 0.5 in im 4.364 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 4.364 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 4.364 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.364 * [taylor]: Taking taylor expansion of -1 in im 4.364 * [taylor]: Taking taylor expansion of im in im 4.364 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 4.364 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.364 * [taylor]: Taking taylor expansion of -1 in im 4.364 * [taylor]: Taking taylor expansion of re in im 4.364 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in re 4.364 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 4.364 * [taylor]: Taking taylor expansion of 0.5 in re 4.364 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 4.364 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 4.364 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.365 * [taylor]: Taking taylor expansion of -1 in re 4.365 * [taylor]: Taking taylor expansion of re in re 4.365 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 4.365 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.365 * [taylor]: Taking taylor expansion of -1 in re 4.365 * [taylor]: Taking taylor expansion of im in re 4.365 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 4.365 * [taylor]: Taking taylor expansion of 0.5 in re 4.365 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 4.365 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 4.365 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.365 * [taylor]: Taking taylor expansion of -1 in re 4.365 * [taylor]: Taking taylor expansion of im in re 4.365 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 4.365 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.365 * [taylor]: Taking taylor expansion of -1 in re 4.365 * [taylor]: Taking taylor expansion of re in re 4.366 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in re 4.366 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 4.366 * [taylor]: Taking taylor expansion of 0.5 in re 4.366 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 4.366 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 4.366 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.366 * [taylor]: Taking taylor expansion of -1 in re 4.366 * [taylor]: Taking taylor expansion of re in re 4.366 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 4.366 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.366 * [taylor]: Taking taylor expansion of -1 in re 4.366 * [taylor]: Taking taylor expansion of im in re 4.366 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 4.366 * [taylor]: Taking taylor expansion of 0.5 in re 4.366 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 4.366 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 4.366 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.366 * [taylor]: Taking taylor expansion of -1 in re 4.366 * [taylor]: Taking taylor expansion of im in re 4.366 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 4.366 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.366 * [taylor]: Taking taylor expansion of -1 in re 4.366 * [taylor]: Taking taylor expansion of re in re 4.367 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in im 4.367 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 4.367 * [taylor]: Taking taylor expansion of 0.5 in im 4.367 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 4.367 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 4.367 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.367 * [taylor]: Taking taylor expansion of -1 in im 4.367 * [taylor]: Taking taylor expansion of re in im 4.367 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 4.367 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.367 * [taylor]: Taking taylor expansion of -1 in im 4.368 * [taylor]: Taking taylor expansion of im in im 4.368 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 4.368 * [taylor]: Taking taylor expansion of 0.5 in im 4.368 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 4.368 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 4.368 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.368 * [taylor]: Taking taylor expansion of -1 in im 4.368 * [taylor]: Taking taylor expansion of im in im 4.369 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 4.369 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.369 * [taylor]: Taking taylor expansion of -1 in im 4.369 * [taylor]: Taking taylor expansion of re in im 4.372 * [taylor]: Taking taylor expansion of 0 in im 4.380 * [taylor]: Taking taylor expansion of 0 in im 4.391 * [taylor]: Taking taylor expansion of 0 in im 4.391 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 4.392 * [approximate]: Taking taylor expansion of (/ (cos re) (exp im)) in (re im) around 0 4.392 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in im 4.392 * [taylor]: Taking taylor expansion of (cos re) in im 4.392 * [taylor]: Taking taylor expansion of re in im 4.392 * [taylor]: Taking taylor expansion of (exp im) in im 4.392 * [taylor]: Taking taylor expansion of im in im 4.392 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 4.392 * [taylor]: Taking taylor expansion of (cos re) in re 4.392 * [taylor]: Taking taylor expansion of re in re 4.392 * [taylor]: Taking taylor expansion of (exp im) in re 4.392 * [taylor]: Taking taylor expansion of im in re 4.392 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 4.392 * [taylor]: Taking taylor expansion of (cos re) in re 4.392 * [taylor]: Taking taylor expansion of re in re 4.392 * [taylor]: Taking taylor expansion of (exp im) in re 4.392 * [taylor]: Taking taylor expansion of im in re 4.392 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 4.392 * [taylor]: Taking taylor expansion of (exp im) in im 4.392 * [taylor]: Taking taylor expansion of im in im 4.394 * [taylor]: Taking taylor expansion of 0 in im 4.396 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (exp im)))) in im 4.396 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (exp im))) in im 4.396 * [taylor]: Taking taylor expansion of 1/2 in im 4.396 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 4.396 * [taylor]: Taking taylor expansion of (exp im) in im 4.396 * [taylor]: Taking taylor expansion of im in im 4.397 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in (re im) around 0 4.397 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 4.397 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 4.397 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.397 * [taylor]: Taking taylor expansion of re in im 4.397 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 4.397 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.397 * [taylor]: Taking taylor expansion of im in im 4.398 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 4.398 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 4.398 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.398 * [taylor]: Taking taylor expansion of re in re 4.398 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 4.398 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.398 * [taylor]: Taking taylor expansion of im in re 4.398 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 4.398 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 4.398 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.398 * [taylor]: Taking taylor expansion of re in re 4.399 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 4.399 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.399 * [taylor]: Taking taylor expansion of im in re 4.399 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 4.399 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 4.399 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.399 * [taylor]: Taking taylor expansion of re in im 4.399 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 4.399 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.399 * [taylor]: Taking taylor expansion of im in im 4.401 * [taylor]: Taking taylor expansion of 0 in im 4.404 * [taylor]: Taking taylor expansion of 0 in im 4.407 * [taylor]: Taking taylor expansion of 0 in im 4.408 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in (re im) around 0 4.408 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 4.408 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 4.408 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.408 * [taylor]: Taking taylor expansion of -1 in im 4.408 * [taylor]: Taking taylor expansion of re in im 4.408 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 4.408 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.408 * [taylor]: Taking taylor expansion of -1 in im 4.408 * [taylor]: Taking taylor expansion of im in im 4.408 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 4.409 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 4.409 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.409 * [taylor]: Taking taylor expansion of -1 in re 4.409 * [taylor]: Taking taylor expansion of re in re 4.409 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 4.409 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.409 * [taylor]: Taking taylor expansion of -1 in re 4.409 * [taylor]: Taking taylor expansion of im in re 4.409 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 4.409 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 4.409 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.409 * [taylor]: Taking taylor expansion of -1 in re 4.409 * [taylor]: Taking taylor expansion of re in re 4.409 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 4.410 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.410 * [taylor]: Taking taylor expansion of -1 in re 4.410 * [taylor]: Taking taylor expansion of im in re 4.410 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 4.410 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 4.410 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.410 * [taylor]: Taking taylor expansion of -1 in im 4.410 * [taylor]: Taking taylor expansion of re in im 4.410 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 4.410 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.410 * [taylor]: Taking taylor expansion of -1 in im 4.410 * [taylor]: Taking taylor expansion of im in im 4.412 * [taylor]: Taking taylor expansion of 0 in im 4.417 * [taylor]: Taking taylor expansion of 0 in im 4.421 * [taylor]: Taking taylor expansion of 0 in im 4.421 * * * [progress]: simplifying candidates 4.422 * [simplify]: Simplifying using # : (expm1 (* (exp im) (* 0.5 (cos re)))) (log1p (* (exp im) (* 0.5 (cos re)))) (* (exp im) (* 0.5 (cos re))) (* (exp im) (* 0.5 (cos re))) (+ im (+ (log 0.5) (log (cos re)))) (+ im (log (* 0.5 (cos re)))) (log (* (exp im) (* 0.5 (cos re)))) (exp (* (exp im) (* 0.5 (cos re)))) (* (* (* (exp im) (exp im)) (exp im)) (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re)))) (* (* (* (exp im) (exp im)) (exp im)) (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re)))) (* (cbrt (* (exp im) (* 0.5 (cos re)))) (cbrt (* (exp im) (* 0.5 (cos re))))) (cbrt (* (exp im) (* 0.5 (cos re)))) (* (* (* (exp im) (* 0.5 (cos re))) (* (exp im) (* 0.5 (cos re)))) (* (exp im) (* 0.5 (cos re)))) (sqrt (* (exp im) (* 0.5 (cos re)))) (sqrt (* (exp im) (* 0.5 (cos re)))) (* (exp im) 0.5) (* (cbrt (exp im)) (* 0.5 (cos re))) (* (sqrt (exp im)) (* 0.5 (cos re))) (* (exp im) (* 0.5 (cos re))) (expm1 (+ (* (/ (cos re) (exp im)) 0.5) (* (exp im) (* 0.5 (cos re))))) (log1p (+ (* (/ (cos re) (exp im)) 0.5) (* (exp im) (* 0.5 (cos re))))) (* (exp (* (/ (cos re) (exp im)) 0.5)) (exp (* (exp im) (* 0.5 (cos re))))) (log (+ (* (/ (cos re) (exp im)) 0.5) (* (exp im) (* 0.5 (cos re))))) (exp (+ (* (/ (cos re) (exp im)) 0.5) (* (exp im) (* 0.5 (cos re))))) (* (cbrt (+ (* (/ (cos re) (exp im)) 0.5) (* (exp im) (* 0.5 (cos re))))) (cbrt (+ (* (/ (cos re) (exp im)) 0.5) (* (exp im) (* 0.5 (cos re)))))) (cbrt (+ (* (/ (cos re) (exp im)) 0.5) (* (exp im) (* 0.5 (cos re))))) (* (* (+ (* (/ (cos re) (exp im)) 0.5) (* (exp im) (* 0.5 (cos re)))) (+ (* (/ (cos re) (exp im)) 0.5) (* (exp im) (* 0.5 (cos re))))) (+ (* (/ (cos re) (exp im)) 0.5) (* (exp im) (* 0.5 (cos re))))) (sqrt (+ (* (/ (cos re) (exp im)) 0.5) (* (exp im) (* 0.5 (cos re))))) (sqrt (+ (* (/ (cos re) (exp im)) 0.5) (* (exp im) (* 0.5 (cos re))))) (+ (pow (* (/ (cos re) (exp im)) 0.5) 3) (pow (* (exp im) (* 0.5 (cos re))) 3)) (+ (* (* (/ (cos re) (exp im)) 0.5) (* (/ (cos re) (exp im)) 0.5)) (- (* (* (exp im) (* 0.5 (cos re))) (* (exp im) (* 0.5 (cos re)))) (* (* (/ (cos re) (exp im)) 0.5) (* (exp im) (* 0.5 (cos re)))))) (- (* (* (/ (cos re) (exp im)) 0.5) (* (/ (cos re) (exp im)) 0.5)) (* (* (exp im) (* 0.5 (cos re))) (* (exp im) (* 0.5 (cos re))))) (- (* (/ (cos re) (exp im)) 0.5) (* (exp im) (* 0.5 (cos re)))) (expm1 (/ (cos re) (exp im))) (log1p (/ (cos re) (exp im))) (- (log (cos re)) im) (log (/ (cos re) (exp im))) (exp (/ (cos re) (exp im))) (/ (* (* (cos re) (cos re)) (cos re)) (* (* (exp im) (exp im)) (exp im))) (* (cbrt (/ (cos re) (exp im))) (cbrt (/ (cos re) (exp im)))) (cbrt (/ (cos re) (exp im))) (* (* (/ (cos re) (exp im)) (/ (cos re) (exp im))) (/ (cos re) (exp im))) (sqrt (/ (cos re) (exp im))) (sqrt (/ (cos re) (exp im))) (- (cos re)) (- (exp im)) (/ (* (cbrt (cos re)) (cbrt (cos re))) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cbrt (cos re)) (cbrt (exp im))) (/ (* (cbrt (cos re)) (cbrt (cos re))) (sqrt (exp im))) (/ (cbrt (cos re)) (sqrt (exp im))) (/ (* (cbrt (cos re)) (cbrt (cos re))) 1) (/ (cbrt (cos re)) (exp im)) (/ (sqrt (cos re)) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (sqrt (cos re)) (cbrt (exp im))) (/ (sqrt (cos re)) (sqrt (exp im))) (/ (sqrt (cos re)) (sqrt (exp im))) (/ (sqrt (cos re)) 1) (/ (sqrt (cos re)) (exp im)) (/ 1 (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cos re) (cbrt (exp im))) (/ 1 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))) (/ 1 1) (/ (cos re) (exp im)) (/ 1 (exp im)) (/ (exp im) (cos re)) (/ (cos re) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cos re) (sqrt (exp im))) (/ (cos re) 1) (/ (exp im) (cbrt (cos re))) (/ (exp im) (sqrt (cos re))) (/ (exp im) (cos re)) (+ (* 0.5 im) (+ (* 0.25 (pow im 2)) 0.5)) (* 0.5 (* (exp im) (cos re))) (* 0.5 (* (exp im) (cos re))) (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2))) (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) (- 1 (+ (* 1/2 (pow re 2)) im)) (/ (cos re) (exp im)) (/ (cos re) (exp im)) 4.425 * * [simplify]: iteration 0 : 123 enodes (cost 884 ) 4.444 * * [simplify]: iteration 1 : 308 enodes (cost 811 ) 4.507 * * [simplify]: iteration 2 : 1149 enodes (cost 717 ) 4.850 * * [simplify]: iteration done : 5000 enodes (cost 714 ) 4.850 * [simplify]: Simplified to: (expm1 (* (exp im) (* 0.5 (cos re)))) (log1p (* (exp im) (* 0.5 (cos re)))) (* 0.5 (* (exp im) (cos re))) (* 0.5 (* (exp im) (cos re))) (+ (log (* 0.5 (cos re))) im) (+ (log (* 0.5 (cos re))) im) (+ (log (* 0.5 (cos re))) im) (exp (* (exp im) (* 0.5 (cos re)))) (pow (* 0.5 (* (exp im) (cos re))) 3) (pow (* 0.5 (* (exp im) (cos re))) 3) (* (cbrt (* (exp im) (* 0.5 (cos re)))) (cbrt (* (exp im) (* 0.5 (cos re))))) (cbrt (* (exp im) (* 0.5 (cos re)))) (pow (* 0.5 (* (exp im) (cos re))) 3) (sqrt (* (exp im) (* 0.5 (cos re)))) (sqrt (* (exp im) (* 0.5 (cos re)))) (* (exp im) 0.5) (* (cbrt (exp im)) (* 0.5 (cos re))) (* (sqrt (exp im)) (* 0.5 (cos re))) (* 0.5 (* (exp im) (cos re))) (expm1 (* (fma (cos re) (exp im) (/ (cos re) (exp im))) 0.5)) (log1p (* (fma (cos re) (exp im) (/ (cos re) (exp im))) 0.5)) (exp (* (fma (cos re) (exp im) (/ (cos re) (exp im))) 0.5)) (log (* (fma (cos re) (exp im) (/ (cos re) (exp im))) 0.5)) (exp (* (fma (cos re) (exp im) (/ (cos re) (exp im))) 0.5)) (* (cbrt (* (fma (cos re) (exp im) (/ (cos re) (exp im))) 0.5)) (cbrt (* (fma (cos re) (exp im) (/ (cos re) (exp im))) 0.5))) (cbrt (* (fma (cos re) (exp im) (/ (cos re) (exp im))) 0.5)) (pow (* (fma (cos re) (exp im) (/ (cos re) (exp im))) 0.5) 3) (sqrt (* (fma (cos re) (exp im) (/ (cos re) (exp im))) 0.5)) (sqrt (* (fma (cos re) (exp im) (/ (cos re) (exp im))) 0.5)) (+ (pow (* (/ (cos re) (exp im)) 0.5) 3) (pow (* (exp im) (* 0.5 (cos re))) 3)) (* 0.5 (+ (* 0.5 (/ (* (cos re) (cos re)) (exp (+ im im)))) (* (* (exp im) (cos re)) (* 0.5 (- (* (exp im) (cos re)) (/ (cos re) (exp im))))))) (* (* 0.5 0.5) (- (/ (* (cos re) (cos re)) (exp (+ im im))) (* (exp (+ im im)) (* (cos re) (cos re))))) (* 0.5 (- (/ (cos re) (exp im)) (* (exp im) (cos re)))) (expm1 (/ (cos re) (exp im))) (log1p (/ (cos re) (exp im))) (- (log (cos re)) im) (- (log (cos re)) im) (exp (/ (cos re) (exp im))) (pow (/ (cos re) (exp im)) 3) (* (cbrt (/ (cos re) (exp im))) (cbrt (/ (cos re) (exp im)))) (cbrt (/ (cos re) (exp im))) (pow (/ (cos re) (exp im)) 3) (sqrt (/ (cos re) (exp im))) (sqrt (/ (cos re) (exp im))) (- (cos re)) (- (exp im)) (/ (* (cbrt (cos re)) (cbrt (cos re))) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cbrt (cos re)) (cbrt (exp im))) (/ (* (cbrt (cos re)) (cbrt (cos re))) (sqrt (exp im))) (/ (cbrt (cos re)) (sqrt (exp im))) (* (cbrt (cos re)) (cbrt (cos re))) (/ (cbrt (cos re)) (exp im)) (/ (sqrt (cos re)) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (sqrt (cos re)) (cbrt (exp im))) (/ (sqrt (cos re)) (sqrt (exp im))) (/ (sqrt (cos re)) (sqrt (exp im))) (sqrt (cos re)) (/ (sqrt (cos re)) (exp im)) (/ 1 (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cos re) (cbrt (exp im))) (/ 1 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))) 1 (/ (cos re) (exp im)) (exp (- im)) (/ (exp im) (cos re)) (/ (cos re) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cos re) (sqrt (exp im))) (cos re) (/ (exp im) (cbrt (cos re))) (/ (exp im) (sqrt (cos re))) (/ (exp im) (cos re)) (fma 0.5 im (fma 0.25 (pow im 2) 0.5)) (* 0.5 (* (exp im) (cos re))) (* 0.5 (* (exp im) (cos re))) (+ 1.0 (* 0.5 (- (pow im 2) (pow re 2)))) (* (fma (cos re) (exp im) (/ (cos re) (exp im))) 0.5) (* (fma (cos re) (exp im) (/ (cos re) (exp im))) 0.5) (- 1 (fma 1/2 (pow re 2) im)) (/ (cos re) (exp im)) (/ (cos re) (exp im)) 4.851 * * * [progress]: adding candidates to table 5.024 * * [progress]: iteration 3 / 4 5.024 * * * [progress]: picking best candidate 5.031 * * * * [pick]: Picked # 5.031 * * * [progress]: localizing error 5.043 * * * [progress]: generating rewritten candidates 5.043 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 5.052 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 5.073 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 5.086 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 5.099 * * * [progress]: generating series expansions 5.099 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 5.099 * [approximate]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in (im re) around 0 5.099 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 5.099 * [taylor]: Taking taylor expansion of 0.5 in re 5.099 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 5.099 * [taylor]: Taking taylor expansion of (exp im) in re 5.099 * [taylor]: Taking taylor expansion of im in re 5.099 * [taylor]: Taking taylor expansion of (cos re) in re 5.099 * [taylor]: Taking taylor expansion of re in re 5.099 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in im 5.099 * [taylor]: Taking taylor expansion of 0.5 in im 5.099 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in im 5.100 * [taylor]: Taking taylor expansion of (exp im) in im 5.100 * [taylor]: Taking taylor expansion of im in im 5.100 * [taylor]: Taking taylor expansion of (cos re) in im 5.100 * [taylor]: Taking taylor expansion of re in im 5.100 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in im 5.100 * [taylor]: Taking taylor expansion of 0.5 in im 5.100 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in im 5.100 * [taylor]: Taking taylor expansion of (exp im) in im 5.100 * [taylor]: Taking taylor expansion of im in im 5.100 * [taylor]: Taking taylor expansion of (cos re) in im 5.100 * [taylor]: Taking taylor expansion of re in im 5.101 * [taylor]: Taking taylor expansion of (* 0.5 (cos re)) in re 5.101 * [taylor]: Taking taylor expansion of 0.5 in re 5.101 * [taylor]: Taking taylor expansion of (cos re) in re 5.101 * [taylor]: Taking taylor expansion of re in re 5.103 * [taylor]: Taking taylor expansion of (* 0.5 (cos re)) in re 5.103 * [taylor]: Taking taylor expansion of 0.5 in re 5.103 * [taylor]: Taking taylor expansion of (cos re) in re 5.104 * [taylor]: Taking taylor expansion of re in re 5.108 * [taylor]: Taking taylor expansion of (* 0.25 (cos re)) in re 5.108 * [taylor]: Taking taylor expansion of 0.25 in re 5.108 * [taylor]: Taking taylor expansion of (cos re) in re 5.108 * [taylor]: Taking taylor expansion of re in re 5.109 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in (im re) around 0 5.109 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 5.109 * [taylor]: Taking taylor expansion of 0.5 in re 5.109 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 5.109 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 5.109 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.109 * [taylor]: Taking taylor expansion of re in re 5.109 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 5.109 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.109 * [taylor]: Taking taylor expansion of im in re 5.109 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 5.109 * [taylor]: Taking taylor expansion of 0.5 in im 5.109 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 5.109 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 5.109 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.109 * [taylor]: Taking taylor expansion of re in im 5.109 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 5.109 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.109 * [taylor]: Taking taylor expansion of im in im 5.110 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 5.110 * [taylor]: Taking taylor expansion of 0.5 in im 5.110 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 5.110 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 5.110 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.110 * [taylor]: Taking taylor expansion of re in im 5.110 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 5.110 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.110 * [taylor]: Taking taylor expansion of im in im 5.111 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 5.111 * [taylor]: Taking taylor expansion of 0.5 in re 5.111 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 5.111 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 5.111 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.111 * [taylor]: Taking taylor expansion of re in re 5.111 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 5.111 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.111 * [taylor]: Taking taylor expansion of im in re 5.114 * [taylor]: Taking taylor expansion of 0 in re 5.118 * [taylor]: Taking taylor expansion of 0 in re 5.124 * [taylor]: Taking taylor expansion of 0 in re 5.124 * [approximate]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in (im re) around 0 5.124 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 5.124 * [taylor]: Taking taylor expansion of 0.5 in re 5.124 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 5.124 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 5.124 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.124 * [taylor]: Taking taylor expansion of -1 in re 5.124 * [taylor]: Taking taylor expansion of im in re 5.124 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 5.124 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.124 * [taylor]: Taking taylor expansion of -1 in re 5.124 * [taylor]: Taking taylor expansion of re in re 5.125 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 5.125 * [taylor]: Taking taylor expansion of 0.5 in im 5.125 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 5.125 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 5.125 * [taylor]: Taking taylor expansion of (/ -1 im) in im 5.125 * [taylor]: Taking taylor expansion of -1 in im 5.125 * [taylor]: Taking taylor expansion of im in im 5.125 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 5.125 * [taylor]: Taking taylor expansion of (/ -1 re) in im 5.125 * [taylor]: Taking taylor expansion of -1 in im 5.125 * [taylor]: Taking taylor expansion of re in im 5.125 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 5.125 * [taylor]: Taking taylor expansion of 0.5 in im 5.125 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 5.125 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 5.125 * [taylor]: Taking taylor expansion of (/ -1 im) in im 5.125 * [taylor]: Taking taylor expansion of -1 in im 5.125 * [taylor]: Taking taylor expansion of im in im 5.126 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 5.126 * [taylor]: Taking taylor expansion of (/ -1 re) in im 5.126 * [taylor]: Taking taylor expansion of -1 in im 5.126 * [taylor]: Taking taylor expansion of re in im 5.131 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 5.131 * [taylor]: Taking taylor expansion of 0.5 in re 5.131 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 5.131 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 5.131 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.131 * [taylor]: Taking taylor expansion of -1 in re 5.131 * [taylor]: Taking taylor expansion of im in re 5.131 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 5.131 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.131 * [taylor]: Taking taylor expansion of -1 in re 5.131 * [taylor]: Taking taylor expansion of re in re 5.134 * [taylor]: Taking taylor expansion of 0 in re 5.138 * [taylor]: Taking taylor expansion of 0 in re 5.144 * [taylor]: Taking taylor expansion of 0 in re 5.191 * * * * [progress]: [ 2 / 4 ] generating series at (2) 5.192 * [approximate]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in (re im) around 0 5.192 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in im 5.192 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in im 5.192 * [taylor]: Taking taylor expansion of 0.5 in im 5.192 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in im 5.192 * [taylor]: Taking taylor expansion of (exp im) in im 5.192 * [taylor]: Taking taylor expansion of im in im 5.192 * [taylor]: Taking taylor expansion of (cos re) in im 5.192 * [taylor]: Taking taylor expansion of re in im 5.192 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in im 5.192 * [taylor]: Taking taylor expansion of 0.5 in im 5.192 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in im 5.192 * [taylor]: Taking taylor expansion of (cos re) in im 5.192 * [taylor]: Taking taylor expansion of re in im 5.192 * [taylor]: Taking taylor expansion of (exp im) in im 5.192 * [taylor]: Taking taylor expansion of im in im 5.193 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in re 5.193 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 5.193 * [taylor]: Taking taylor expansion of 0.5 in re 5.193 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 5.193 * [taylor]: Taking taylor expansion of (exp im) in re 5.193 * [taylor]: Taking taylor expansion of im in re 5.193 * [taylor]: Taking taylor expansion of (cos re) in re 5.193 * [taylor]: Taking taylor expansion of re in re 5.193 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 5.193 * [taylor]: Taking taylor expansion of 0.5 in re 5.193 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 5.193 * [taylor]: Taking taylor expansion of (cos re) in re 5.193 * [taylor]: Taking taylor expansion of re in re 5.193 * [taylor]: Taking taylor expansion of (exp im) in re 5.193 * [taylor]: Taking taylor expansion of im in re 5.193 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in re 5.193 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 5.193 * [taylor]: Taking taylor expansion of 0.5 in re 5.193 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 5.193 * [taylor]: Taking taylor expansion of (exp im) in re 5.193 * [taylor]: Taking taylor expansion of im in re 5.193 * [taylor]: Taking taylor expansion of (cos re) in re 5.193 * [taylor]: Taking taylor expansion of re in re 5.193 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 5.193 * [taylor]: Taking taylor expansion of 0.5 in re 5.193 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 5.193 * [taylor]: Taking taylor expansion of (cos re) in re 5.193 * [taylor]: Taking taylor expansion of re in re 5.193 * [taylor]: Taking taylor expansion of (exp im) in re 5.193 * [taylor]: Taking taylor expansion of im in re 5.194 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (exp im))) (* 0.5 (exp im))) in im 5.194 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (exp im))) in im 5.194 * [taylor]: Taking taylor expansion of 0.5 in im 5.194 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 5.194 * [taylor]: Taking taylor expansion of (exp im) in im 5.194 * [taylor]: Taking taylor expansion of im in im 5.194 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 5.194 * [taylor]: Taking taylor expansion of 0.5 in im 5.194 * [taylor]: Taking taylor expansion of (exp im) in im 5.194 * [taylor]: Taking taylor expansion of im in im 5.197 * [taylor]: Taking taylor expansion of 0 in im 5.205 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (/ 1 (exp im))) (* 0.25 (exp im)))) in im 5.205 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ 1 (exp im))) (* 0.25 (exp im))) in im 5.205 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (exp im))) in im 5.205 * [taylor]: Taking taylor expansion of 0.25 in im 5.205 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 5.205 * [taylor]: Taking taylor expansion of (exp im) in im 5.205 * [taylor]: Taking taylor expansion of im in im 5.206 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 5.206 * [taylor]: Taking taylor expansion of 0.25 in im 5.206 * [taylor]: Taking taylor expansion of (exp im) in im 5.206 * [taylor]: Taking taylor expansion of im in im 5.213 * [approximate]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in (re im) around 0 5.213 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in im 5.213 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 5.213 * [taylor]: Taking taylor expansion of 0.5 in im 5.213 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 5.213 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 5.213 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.213 * [taylor]: Taking taylor expansion of re in im 5.213 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 5.213 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.213 * [taylor]: Taking taylor expansion of im in im 5.213 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 5.213 * [taylor]: Taking taylor expansion of 0.5 in im 5.213 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 5.213 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 5.213 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.213 * [taylor]: Taking taylor expansion of re in im 5.214 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 5.214 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.214 * [taylor]: Taking taylor expansion of im in im 5.214 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in re 5.214 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 5.214 * [taylor]: Taking taylor expansion of 0.5 in re 5.214 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 5.214 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 5.214 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.214 * [taylor]: Taking taylor expansion of re in re 5.215 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 5.215 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.215 * [taylor]: Taking taylor expansion of im in re 5.215 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 5.215 * [taylor]: Taking taylor expansion of 0.5 in re 5.215 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 5.215 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 5.215 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.215 * [taylor]: Taking taylor expansion of re in re 5.215 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 5.215 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.215 * [taylor]: Taking taylor expansion of im in re 5.215 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in re 5.215 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 5.215 * [taylor]: Taking taylor expansion of 0.5 in re 5.215 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 5.215 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 5.216 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.216 * [taylor]: Taking taylor expansion of re in re 5.216 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 5.216 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.216 * [taylor]: Taking taylor expansion of im in re 5.216 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 5.216 * [taylor]: Taking taylor expansion of 0.5 in re 5.216 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 5.216 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 5.216 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.216 * [taylor]: Taking taylor expansion of re in re 5.216 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 5.216 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.216 * [taylor]: Taking taylor expansion of im in re 5.217 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in im 5.217 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 5.217 * [taylor]: Taking taylor expansion of 0.5 in im 5.217 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 5.217 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 5.217 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.217 * [taylor]: Taking taylor expansion of re in im 5.217 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 5.217 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.217 * [taylor]: Taking taylor expansion of im in im 5.218 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 5.218 * [taylor]: Taking taylor expansion of 0.5 in im 5.218 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 5.218 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 5.218 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.218 * [taylor]: Taking taylor expansion of re in im 5.218 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 5.218 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.218 * [taylor]: Taking taylor expansion of im in im 5.222 * [taylor]: Taking taylor expansion of 0 in im 5.230 * [taylor]: Taking taylor expansion of 0 in im 5.241 * [taylor]: Taking taylor expansion of 0 in im 5.242 * [approximate]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in (re im) around 0 5.242 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in im 5.242 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 5.242 * [taylor]: Taking taylor expansion of 0.5 in im 5.242 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 5.242 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 5.242 * [taylor]: Taking taylor expansion of (/ -1 re) in im 5.242 * [taylor]: Taking taylor expansion of -1 in im 5.242 * [taylor]: Taking taylor expansion of re in im 5.242 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 5.242 * [taylor]: Taking taylor expansion of (/ -1 im) in im 5.242 * [taylor]: Taking taylor expansion of -1 in im 5.242 * [taylor]: Taking taylor expansion of im in im 5.243 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 5.243 * [taylor]: Taking taylor expansion of 0.5 in im 5.243 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 5.243 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 5.243 * [taylor]: Taking taylor expansion of (/ -1 im) in im 5.243 * [taylor]: Taking taylor expansion of -1 in im 5.243 * [taylor]: Taking taylor expansion of im in im 5.243 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 5.244 * [taylor]: Taking taylor expansion of (/ -1 re) in im 5.244 * [taylor]: Taking taylor expansion of -1 in im 5.244 * [taylor]: Taking taylor expansion of re in im 5.244 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in re 5.244 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 5.244 * [taylor]: Taking taylor expansion of 0.5 in re 5.244 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 5.244 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 5.244 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.244 * [taylor]: Taking taylor expansion of -1 in re 5.244 * [taylor]: Taking taylor expansion of re in re 5.244 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 5.244 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.244 * [taylor]: Taking taylor expansion of -1 in re 5.244 * [taylor]: Taking taylor expansion of im in re 5.244 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 5.244 * [taylor]: Taking taylor expansion of 0.5 in re 5.244 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 5.244 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 5.244 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.244 * [taylor]: Taking taylor expansion of -1 in re 5.244 * [taylor]: Taking taylor expansion of im in re 5.244 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 5.244 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.245 * [taylor]: Taking taylor expansion of -1 in re 5.245 * [taylor]: Taking taylor expansion of re in re 5.245 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in re 5.245 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 5.245 * [taylor]: Taking taylor expansion of 0.5 in re 5.245 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 5.245 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 5.245 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.245 * [taylor]: Taking taylor expansion of -1 in re 5.245 * [taylor]: Taking taylor expansion of re in re 5.245 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 5.245 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.245 * [taylor]: Taking taylor expansion of -1 in re 5.245 * [taylor]: Taking taylor expansion of im in re 5.246 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 5.246 * [taylor]: Taking taylor expansion of 0.5 in re 5.246 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 5.246 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 5.246 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.246 * [taylor]: Taking taylor expansion of -1 in re 5.246 * [taylor]: Taking taylor expansion of im in re 5.246 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 5.246 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.246 * [taylor]: Taking taylor expansion of -1 in re 5.246 * [taylor]: Taking taylor expansion of re in re 5.247 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in im 5.247 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 5.247 * [taylor]: Taking taylor expansion of 0.5 in im 5.247 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 5.247 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 5.247 * [taylor]: Taking taylor expansion of (/ -1 re) in im 5.247 * [taylor]: Taking taylor expansion of -1 in im 5.247 * [taylor]: Taking taylor expansion of re in im 5.247 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 5.247 * [taylor]: Taking taylor expansion of (/ -1 im) in im 5.247 * [taylor]: Taking taylor expansion of -1 in im 5.247 * [taylor]: Taking taylor expansion of im in im 5.248 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 5.248 * [taylor]: Taking taylor expansion of 0.5 in im 5.248 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 5.248 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 5.248 * [taylor]: Taking taylor expansion of (/ -1 im) in im 5.248 * [taylor]: Taking taylor expansion of -1 in im 5.248 * [taylor]: Taking taylor expansion of im in im 5.248 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 5.248 * [taylor]: Taking taylor expansion of (/ -1 re) in im 5.248 * [taylor]: Taking taylor expansion of -1 in im 5.248 * [taylor]: Taking taylor expansion of re in im 5.251 * [taylor]: Taking taylor expansion of 0 in im 5.260 * [taylor]: Taking taylor expansion of 0 in im 5.274 * [taylor]: Taking taylor expansion of 0 in im 5.274 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 5.274 * [approximate]: Taking taylor expansion of (/ (cos re) (exp im)) in (re im) around 0 5.274 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in im 5.274 * [taylor]: Taking taylor expansion of (cos re) in im 5.274 * [taylor]: Taking taylor expansion of re in im 5.274 * [taylor]: Taking taylor expansion of (exp im) in im 5.274 * [taylor]: Taking taylor expansion of im in im 5.275 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 5.275 * [taylor]: Taking taylor expansion of (cos re) in re 5.275 * [taylor]: Taking taylor expansion of re in re 5.275 * [taylor]: Taking taylor expansion of (exp im) in re 5.275 * [taylor]: Taking taylor expansion of im in re 5.275 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 5.275 * [taylor]: Taking taylor expansion of (cos re) in re 5.275 * [taylor]: Taking taylor expansion of re in re 5.275 * [taylor]: Taking taylor expansion of (exp im) in re 5.275 * [taylor]: Taking taylor expansion of im in re 5.275 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 5.275 * [taylor]: Taking taylor expansion of (exp im) in im 5.275 * [taylor]: Taking taylor expansion of im in im 5.276 * [taylor]: Taking taylor expansion of 0 in im 5.279 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (exp im)))) in im 5.279 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (exp im))) in im 5.279 * [taylor]: Taking taylor expansion of 1/2 in im 5.279 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 5.279 * [taylor]: Taking taylor expansion of (exp im) in im 5.279 * [taylor]: Taking taylor expansion of im in im 5.280 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in (re im) around 0 5.280 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 5.280 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 5.280 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.280 * [taylor]: Taking taylor expansion of re in im 5.280 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 5.280 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.280 * [taylor]: Taking taylor expansion of im in im 5.281 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 5.281 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 5.281 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.281 * [taylor]: Taking taylor expansion of re in re 5.281 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 5.281 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.281 * [taylor]: Taking taylor expansion of im in re 5.282 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 5.282 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 5.282 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.282 * [taylor]: Taking taylor expansion of re in re 5.282 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 5.282 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.282 * [taylor]: Taking taylor expansion of im in re 5.282 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 5.282 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 5.282 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.282 * [taylor]: Taking taylor expansion of re in im 5.282 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 5.282 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.282 * [taylor]: Taking taylor expansion of im in im 5.284 * [taylor]: Taking taylor expansion of 0 in im 5.287 * [taylor]: Taking taylor expansion of 0 in im 5.290 * [taylor]: Taking taylor expansion of 0 in im 5.291 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in (re im) around 0 5.291 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 5.291 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 5.291 * [taylor]: Taking taylor expansion of (/ -1 re) in im 5.291 * [taylor]: Taking taylor expansion of -1 in im 5.291 * [taylor]: Taking taylor expansion of re in im 5.291 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 5.291 * [taylor]: Taking taylor expansion of (/ -1 im) in im 5.291 * [taylor]: Taking taylor expansion of -1 in im 5.291 * [taylor]: Taking taylor expansion of im in im 5.292 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 5.292 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 5.292 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.292 * [taylor]: Taking taylor expansion of -1 in re 5.292 * [taylor]: Taking taylor expansion of re in re 5.292 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 5.292 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.292 * [taylor]: Taking taylor expansion of -1 in re 5.292 * [taylor]: Taking taylor expansion of im in re 5.293 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 5.293 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 5.293 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.293 * [taylor]: Taking taylor expansion of -1 in re 5.293 * [taylor]: Taking taylor expansion of re in re 5.293 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 5.293 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.293 * [taylor]: Taking taylor expansion of -1 in re 5.293 * [taylor]: Taking taylor expansion of im in re 5.293 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 5.293 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 5.293 * [taylor]: Taking taylor expansion of (/ -1 re) in im 5.293 * [taylor]: Taking taylor expansion of -1 in im 5.293 * [taylor]: Taking taylor expansion of re in im 5.293 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 5.293 * [taylor]: Taking taylor expansion of (/ -1 im) in im 5.293 * [taylor]: Taking taylor expansion of -1 in im 5.293 * [taylor]: Taking taylor expansion of im in im 5.295 * [taylor]: Taking taylor expansion of 0 in im 5.298 * [taylor]: Taking taylor expansion of 0 in im 5.302 * [taylor]: Taking taylor expansion of 0 in im 5.302 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 5.302 * [approximate]: Taking taylor expansion of (sqrt (exp im)) in (im) around 0 5.302 * [taylor]: Taking taylor expansion of (sqrt (exp im)) in im 5.302 * [taylor]: Taking taylor expansion of (exp im) in im 5.302 * [taylor]: Taking taylor expansion of im in im 5.303 * [taylor]: Taking taylor expansion of (sqrt (exp im)) in im 5.303 * [taylor]: Taking taylor expansion of (exp im) in im 5.303 * [taylor]: Taking taylor expansion of im in im 5.306 * [approximate]: Taking taylor expansion of (sqrt (exp (/ 1 im))) in (im) around 0 5.306 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 im))) in im 5.306 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 5.306 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.306 * [taylor]: Taking taylor expansion of im in im 5.307 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 im))) in im 5.307 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 5.307 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.307 * [taylor]: Taking taylor expansion of im in im 5.310 * [approximate]: Taking taylor expansion of (sqrt (exp (/ -1 im))) in (im) around 0 5.310 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 im))) in im 5.310 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 5.310 * [taylor]: Taking taylor expansion of (/ -1 im) in im 5.310 * [taylor]: Taking taylor expansion of -1 in im 5.310 * [taylor]: Taking taylor expansion of im in im 5.310 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 im))) in im 5.311 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 5.311 * [taylor]: Taking taylor expansion of (/ -1 im) in im 5.311 * [taylor]: Taking taylor expansion of -1 in im 5.311 * [taylor]: Taking taylor expansion of im in im 5.314 * * * [progress]: simplifying candidates 5.317 * [simplify]: Simplifying using # : (expm1 (* (exp im) (* 0.5 (cos re)))) (log1p (* (exp im) (* 0.5 (cos re)))) (* (exp im) (* 0.5 (cos re))) (* (exp im) (* 0.5 (cos re))) (+ im (+ (log 0.5) (log (cos re)))) (+ im (log (* 0.5 (cos re)))) (log (* (exp im) (* 0.5 (cos re)))) (exp (* (exp im) (* 0.5 (cos re)))) (* (* (* (exp im) (exp im)) (exp im)) (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re)))) (* (* (* (exp im) (exp im)) (exp im)) (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re)))) (* (cbrt (* (exp im) (* 0.5 (cos re)))) (cbrt (* (exp im) (* 0.5 (cos re))))) (cbrt (* (exp im) (* 0.5 (cos re)))) (* (* (* (exp im) (* 0.5 (cos re))) (* (exp im) (* 0.5 (cos re)))) (* (exp im) (* 0.5 (cos re)))) (sqrt (* (exp im) (* 0.5 (cos re)))) (sqrt (* (exp im) (* 0.5 (cos re)))) (* (exp im) 0.5) (* (cbrt (exp im)) (* 0.5 (cos re))) (* (sqrt (exp im)) (* 0.5 (cos re))) (* (exp im) (* 0.5 (cos re))) (expm1 (+ (* (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im))) 0.5) (* (exp im) (* 0.5 (cos re))))) (log1p (+ (* (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im))) 0.5) (* (exp im) (* 0.5 (cos re))))) (* (exp (* (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im))) 0.5)) (exp (* (exp im) (* 0.5 (cos re))))) (log (+ (* (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im))) 0.5) (* (exp im) (* 0.5 (cos re))))) (exp (+ (* (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im))) 0.5) (* (exp im) (* 0.5 (cos re))))) (* (cbrt (+ (* (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im))) 0.5) (* (exp im) (* 0.5 (cos re))))) (cbrt (+ (* (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im))) 0.5) (* (exp im) (* 0.5 (cos re)))))) (cbrt (+ (* (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im))) 0.5) (* (exp im) (* 0.5 (cos re))))) (* (* (+ (* (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im))) 0.5) (* (exp im) (* 0.5 (cos re)))) (+ (* (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im))) 0.5) (* (exp im) (* 0.5 (cos re))))) (+ (* (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im))) 0.5) (* (exp im) (* 0.5 (cos re))))) (sqrt (+ (* (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im))) 0.5) (* (exp im) (* 0.5 (cos re))))) (sqrt (+ (* (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im))) 0.5) (* (exp im) (* 0.5 (cos re))))) (+ (pow (* (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im))) 0.5) 3) (pow (* (exp im) (* 0.5 (cos re))) 3)) (+ (* (* (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im))) 0.5) (* (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im))) 0.5)) (- (* (* (exp im) (* 0.5 (cos re))) (* (exp im) (* 0.5 (cos re)))) (* (* (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im))) 0.5) (* (exp im) (* 0.5 (cos re)))))) (- (* (* (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im))) 0.5) (* (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im))) 0.5)) (* (* (exp im) (* 0.5 (cos re))) (* (exp im) (* 0.5 (cos re))))) (- (* (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im))) 0.5) (* (exp im) (* 0.5 (cos re)))) (expm1 (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im)))) (log1p (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im)))) (- (- (log (cos re)) (log (sqrt (exp im)))) (log (sqrt (exp im)))) (- (log (/ (cos re) (sqrt (exp im)))) (log (sqrt (exp im)))) (log (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im)))) (exp (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im)))) (/ (/ (* (* (cos re) (cos re)) (cos re)) (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im)))) (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im)))) (/ (* (* (/ (cos re) (sqrt (exp im))) (/ (cos re) (sqrt (exp im)))) (/ (cos re) (sqrt (exp im)))) (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im)))) (* (cbrt (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im)))) (cbrt (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im))))) (cbrt (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im)))) (* (* (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im))) (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im)))) (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im)))) (sqrt (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im)))) (sqrt (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im)))) (- (/ (cos re) (sqrt (exp im)))) (- (sqrt (exp im))) (/ (* (cbrt (/ (cos re) (sqrt (exp im)))) (cbrt (/ (cos re) (sqrt (exp im))))) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (cbrt (/ (cos re) (sqrt (exp im)))) (cbrt (sqrt (exp im)))) (/ (* (cbrt (/ (cos re) (sqrt (exp im)))) (cbrt (/ (cos re) (sqrt (exp im))))) (sqrt (* (cbrt (exp im)) (cbrt (exp im))))) (/ (cbrt (/ (cos re) (sqrt (exp im)))) (sqrt (cbrt (exp im)))) (/ (* (cbrt (/ (cos re) (sqrt (exp im)))) (cbrt (/ (cos re) (sqrt (exp im))))) (sqrt (sqrt (exp im)))) (/ (cbrt (/ (cos re) (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (/ (* (cbrt (/ (cos re) (sqrt (exp im)))) (cbrt (/ (cos re) (sqrt (exp im))))) (sqrt 1)) (/ (cbrt (/ (cos re) (sqrt (exp im)))) (sqrt (exp im))) (/ (* (cbrt (/ (cos re) (sqrt (exp im)))) (cbrt (/ (cos re) (sqrt (exp im))))) (sqrt (sqrt (exp im)))) (/ (cbrt (/ (cos re) (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (/ (* (cbrt (/ (cos re) (sqrt (exp im)))) (cbrt (/ (cos re) (sqrt (exp im))))) 1) (/ (cbrt (/ (cos re) (sqrt (exp im)))) (sqrt (exp im))) (/ (sqrt (/ (cos re) (sqrt (exp im)))) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (sqrt (/ (cos re) (sqrt (exp im)))) (cbrt (sqrt (exp im)))) (/ (sqrt (/ (cos re) (sqrt (exp im)))) (sqrt (* (cbrt (exp im)) (cbrt (exp im))))) (/ (sqrt (/ (cos re) (sqrt (exp im)))) (sqrt (cbrt (exp im)))) (/ (sqrt (/ (cos re) (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (/ (sqrt (/ (cos re) (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (/ (sqrt (/ (cos re) (sqrt (exp im)))) (sqrt 1)) (/ (sqrt (/ (cos re) (sqrt (exp im)))) (sqrt (exp im))) (/ (sqrt (/ (cos re) (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (/ (sqrt (/ (cos re) (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (/ (sqrt (/ (cos re) (sqrt (exp im)))) 1) (/ (sqrt (/ (cos re) (sqrt (exp im)))) (sqrt (exp im))) (/ (/ (* (cbrt (cos re)) (cbrt (cos re))) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (* 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im))))) (/ (sqrt (exp im)) (/ (cos re) (sqrt (cbrt (exp im))))) (/ (sqrt (exp im)) (/ (cos re) (sqrt (sqrt (exp im))))) (/ (exp im) (cos re)) (/ (sqrt (exp im)) (/ (cos re) (sqrt (sqrt (exp im))))) (/ (exp im) (cos re)) (/ (exp im) (cos re)) (exp im) (exp im) (expm1 (sqrt (exp im))) (log1p (sqrt (exp im))) (log (sqrt (exp im))) (exp (sqrt (exp im))) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im)))) (cbrt (sqrt (exp im))) (pow (sqrt (exp im)) 3) (fabs (cbrt (exp im))) (sqrt (cbrt (exp im))) (sqrt (sqrt (exp im))) (sqrt (sqrt (exp im))) 1 (sqrt (exp im)) 1/2 (/ (cbrt im) 2) (/ (sqrt im) 2) (/ im 2) (sqrt (sqrt (exp im))) (sqrt (sqrt (exp im))) (fma 0.5 im (fma 0.25 (pow im 2) 0.5)) (* (exp im) (* 0.5 (cos re))) (* (exp im) (* 0.5 (cos re))) (- (fma 0.5 (pow im 2) 1.0) (* 0.5 (pow re 2))) (* 0.5 (fma (exp im) (cos re) (/ (cos re) (exp im)))) (* 0.5 (fma (exp im) (cos re) (/ (cos re) (exp im)))) (- 1 (fma 1/2 (pow re 2) im)) (/ (cos re) (exp im)) (/ (cos re) (exp im)) (fma 1/2 im (fma 1/8 (pow im 2) 1)) (sqrt (exp im)) (sqrt (exp im)) 6.802 * * * [progress]: adding candidates to table 7.243 * * [progress]: iteration 4 / 4 7.244 * * * [progress]: picking best candidate 7.248 * * * * [pick]: Picked # 7.249 * * * [progress]: localizing error 7.265 * * * [progress]: generating rewritten candidates 7.265 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 7.297 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 7.319 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 7.332 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 7.357 * * * [progress]: generating series expansions 7.357 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 7.357 * [approximate]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in (im re) around 0 7.357 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 7.358 * [taylor]: Taking taylor expansion of 0.5 in re 7.358 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 7.358 * [taylor]: Taking taylor expansion of (exp im) in re 7.358 * [taylor]: Taking taylor expansion of im in re 7.358 * [taylor]: Taking taylor expansion of (cos re) in re 7.358 * [taylor]: Taking taylor expansion of re in re 7.358 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in im 7.358 * [taylor]: Taking taylor expansion of 0.5 in im 7.358 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in im 7.358 * [taylor]: Taking taylor expansion of (exp im) in im 7.358 * [taylor]: Taking taylor expansion of im in im 7.358 * [taylor]: Taking taylor expansion of (cos re) in im 7.358 * [taylor]: Taking taylor expansion of re in im 7.358 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in im 7.358 * [taylor]: Taking taylor expansion of 0.5 in im 7.358 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in im 7.358 * [taylor]: Taking taylor expansion of (exp im) in im 7.358 * [taylor]: Taking taylor expansion of im in im 7.358 * [taylor]: Taking taylor expansion of (cos re) in im 7.358 * [taylor]: Taking taylor expansion of re in im 7.359 * [taylor]: Taking taylor expansion of (* 0.5 (cos re)) in re 7.359 * [taylor]: Taking taylor expansion of 0.5 in re 7.359 * [taylor]: Taking taylor expansion of (cos re) in re 7.359 * [taylor]: Taking taylor expansion of re in re 7.362 * [taylor]: Taking taylor expansion of (* 0.5 (cos re)) in re 7.362 * [taylor]: Taking taylor expansion of 0.5 in re 7.362 * [taylor]: Taking taylor expansion of (cos re) in re 7.362 * [taylor]: Taking taylor expansion of re in re 7.367 * [taylor]: Taking taylor expansion of (* 0.25 (cos re)) in re 7.367 * [taylor]: Taking taylor expansion of 0.25 in re 7.367 * [taylor]: Taking taylor expansion of (cos re) in re 7.367 * [taylor]: Taking taylor expansion of re in re 7.367 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in (im re) around 0 7.367 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 7.367 * [taylor]: Taking taylor expansion of 0.5 in re 7.367 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 7.367 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 7.368 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.368 * [taylor]: Taking taylor expansion of re in re 7.368 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 7.368 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.368 * [taylor]: Taking taylor expansion of im in re 7.368 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 7.368 * [taylor]: Taking taylor expansion of 0.5 in im 7.368 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 7.368 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 7.368 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.368 * [taylor]: Taking taylor expansion of re in im 7.368 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 7.368 * [taylor]: Taking taylor expansion of (/ 1 im) in im 7.368 * [taylor]: Taking taylor expansion of im in im 7.368 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 7.368 * [taylor]: Taking taylor expansion of 0.5 in im 7.369 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 7.369 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 7.369 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.369 * [taylor]: Taking taylor expansion of re in im 7.369 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 7.369 * [taylor]: Taking taylor expansion of (/ 1 im) in im 7.369 * [taylor]: Taking taylor expansion of im in im 7.370 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 7.370 * [taylor]: Taking taylor expansion of 0.5 in re 7.370 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 7.370 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 7.370 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.370 * [taylor]: Taking taylor expansion of re in re 7.370 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 7.370 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.370 * [taylor]: Taking taylor expansion of im in re 7.372 * [taylor]: Taking taylor expansion of 0 in re 7.377 * [taylor]: Taking taylor expansion of 0 in re 7.383 * [taylor]: Taking taylor expansion of 0 in re 7.383 * [approximate]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in (im re) around 0 7.383 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 7.383 * [taylor]: Taking taylor expansion of 0.5 in re 7.383 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 7.383 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 7.383 * [taylor]: Taking taylor expansion of (/ -1 im) in re 7.383 * [taylor]: Taking taylor expansion of -1 in re 7.383 * [taylor]: Taking taylor expansion of im in re 7.383 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 7.383 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.383 * [taylor]: Taking taylor expansion of -1 in re 7.383 * [taylor]: Taking taylor expansion of re in re 7.384 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 7.384 * [taylor]: Taking taylor expansion of 0.5 in im 7.384 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 7.384 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 7.384 * [taylor]: Taking taylor expansion of (/ -1 im) in im 7.384 * [taylor]: Taking taylor expansion of -1 in im 7.384 * [taylor]: Taking taylor expansion of im in im 7.384 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 7.384 * [taylor]: Taking taylor expansion of (/ -1 re) in im 7.384 * [taylor]: Taking taylor expansion of -1 in im 7.384 * [taylor]: Taking taylor expansion of re in im 7.384 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 7.384 * [taylor]: Taking taylor expansion of 0.5 in im 7.384 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 7.384 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 7.384 * [taylor]: Taking taylor expansion of (/ -1 im) in im 7.384 * [taylor]: Taking taylor expansion of -1 in im 7.384 * [taylor]: Taking taylor expansion of im in im 7.385 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 7.385 * [taylor]: Taking taylor expansion of (/ -1 re) in im 7.385 * [taylor]: Taking taylor expansion of -1 in im 7.385 * [taylor]: Taking taylor expansion of re in im 7.386 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 7.386 * [taylor]: Taking taylor expansion of 0.5 in re 7.386 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 7.386 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 7.386 * [taylor]: Taking taylor expansion of (/ -1 im) in re 7.386 * [taylor]: Taking taylor expansion of -1 in re 7.386 * [taylor]: Taking taylor expansion of im in re 7.386 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 7.386 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.386 * [taylor]: Taking taylor expansion of -1 in re 7.386 * [taylor]: Taking taylor expansion of re in re 7.389 * [taylor]: Taking taylor expansion of 0 in re 7.393 * [taylor]: Taking taylor expansion of 0 in re 7.399 * [taylor]: Taking taylor expansion of 0 in re 7.399 * * * * [progress]: [ 2 / 4 ] generating series at (2) 7.400 * [approximate]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in (re im) around 0 7.400 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in im 7.400 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in im 7.400 * [taylor]: Taking taylor expansion of 0.5 in im 7.400 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in im 7.400 * [taylor]: Taking taylor expansion of (exp im) in im 7.400 * [taylor]: Taking taylor expansion of im in im 7.400 * [taylor]: Taking taylor expansion of (cos re) in im 7.400 * [taylor]: Taking taylor expansion of re in im 7.400 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in im 7.400 * [taylor]: Taking taylor expansion of 0.5 in im 7.400 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in im 7.400 * [taylor]: Taking taylor expansion of (cos re) in im 7.400 * [taylor]: Taking taylor expansion of re in im 7.400 * [taylor]: Taking taylor expansion of (exp im) in im 7.400 * [taylor]: Taking taylor expansion of im in im 7.400 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in re 7.400 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 7.400 * [taylor]: Taking taylor expansion of 0.5 in re 7.400 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 7.400 * [taylor]: Taking taylor expansion of (exp im) in re 7.400 * [taylor]: Taking taylor expansion of im in re 7.400 * [taylor]: Taking taylor expansion of (cos re) in re 7.400 * [taylor]: Taking taylor expansion of re in re 7.400 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 7.400 * [taylor]: Taking taylor expansion of 0.5 in re 7.401 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 7.401 * [taylor]: Taking taylor expansion of (cos re) in re 7.401 * [taylor]: Taking taylor expansion of re in re 7.401 * [taylor]: Taking taylor expansion of (exp im) in re 7.401 * [taylor]: Taking taylor expansion of im in re 7.401 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in re 7.401 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 7.401 * [taylor]: Taking taylor expansion of 0.5 in re 7.401 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 7.401 * [taylor]: Taking taylor expansion of (exp im) in re 7.401 * [taylor]: Taking taylor expansion of im in re 7.401 * [taylor]: Taking taylor expansion of (cos re) in re 7.401 * [taylor]: Taking taylor expansion of re in re 7.401 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 7.401 * [taylor]: Taking taylor expansion of 0.5 in re 7.401 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 7.401 * [taylor]: Taking taylor expansion of (cos re) in re 7.401 * [taylor]: Taking taylor expansion of re in re 7.401 * [taylor]: Taking taylor expansion of (exp im) in re 7.401 * [taylor]: Taking taylor expansion of im in re 7.401 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (exp im))) (* 0.5 (exp im))) in im 7.401 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (exp im))) in im 7.401 * [taylor]: Taking taylor expansion of 0.5 in im 7.401 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 7.401 * [taylor]: Taking taylor expansion of (exp im) in im 7.401 * [taylor]: Taking taylor expansion of im in im 7.402 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 7.402 * [taylor]: Taking taylor expansion of 0.5 in im 7.402 * [taylor]: Taking taylor expansion of (exp im) in im 7.402 * [taylor]: Taking taylor expansion of im in im 7.405 * [taylor]: Taking taylor expansion of 0 in im 7.413 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (/ 1 (exp im))) (* 0.25 (exp im)))) in im 7.413 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ 1 (exp im))) (* 0.25 (exp im))) in im 7.413 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (exp im))) in im 7.413 * [taylor]: Taking taylor expansion of 0.25 in im 7.413 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 7.413 * [taylor]: Taking taylor expansion of (exp im) in im 7.413 * [taylor]: Taking taylor expansion of im in im 7.413 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 7.413 * [taylor]: Taking taylor expansion of 0.25 in im 7.413 * [taylor]: Taking taylor expansion of (exp im) in im 7.413 * [taylor]: Taking taylor expansion of im in im 7.425 * [approximate]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in (re im) around 0 7.425 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in im 7.425 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 7.425 * [taylor]: Taking taylor expansion of 0.5 in im 7.425 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 7.425 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 7.425 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.425 * [taylor]: Taking taylor expansion of re in im 7.425 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 7.425 * [taylor]: Taking taylor expansion of (/ 1 im) in im 7.425 * [taylor]: Taking taylor expansion of im in im 7.426 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 7.426 * [taylor]: Taking taylor expansion of 0.5 in im 7.426 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 7.426 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 7.426 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.426 * [taylor]: Taking taylor expansion of re in im 7.426 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 7.426 * [taylor]: Taking taylor expansion of (/ 1 im) in im 7.426 * [taylor]: Taking taylor expansion of im in im 7.427 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in re 7.427 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 7.427 * [taylor]: Taking taylor expansion of 0.5 in re 7.427 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 7.427 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 7.427 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.427 * [taylor]: Taking taylor expansion of re in re 7.427 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 7.427 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.427 * [taylor]: Taking taylor expansion of im in re 7.427 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 7.427 * [taylor]: Taking taylor expansion of 0.5 in re 7.427 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 7.427 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 7.427 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.427 * [taylor]: Taking taylor expansion of re in re 7.428 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 7.428 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.428 * [taylor]: Taking taylor expansion of im in re 7.428 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in re 7.428 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 7.428 * [taylor]: Taking taylor expansion of 0.5 in re 7.428 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 7.428 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 7.428 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.428 * [taylor]: Taking taylor expansion of re in re 7.428 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 7.428 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.428 * [taylor]: Taking taylor expansion of im in re 7.429 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 7.429 * [taylor]: Taking taylor expansion of 0.5 in re 7.429 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 7.429 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 7.429 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.429 * [taylor]: Taking taylor expansion of re in re 7.429 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 7.429 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.429 * [taylor]: Taking taylor expansion of im in re 7.430 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in im 7.430 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 7.430 * [taylor]: Taking taylor expansion of 0.5 in im 7.430 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 7.430 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 7.430 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.430 * [taylor]: Taking taylor expansion of re in im 7.430 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 7.430 * [taylor]: Taking taylor expansion of (/ 1 im) in im 7.430 * [taylor]: Taking taylor expansion of im in im 7.430 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 7.430 * [taylor]: Taking taylor expansion of 0.5 in im 7.430 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 7.430 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 7.430 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.430 * [taylor]: Taking taylor expansion of re in im 7.430 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 7.430 * [taylor]: Taking taylor expansion of (/ 1 im) in im 7.431 * [taylor]: Taking taylor expansion of im in im 7.435 * [taylor]: Taking taylor expansion of 0 in im 7.443 * [taylor]: Taking taylor expansion of 0 in im 7.454 * [taylor]: Taking taylor expansion of 0 in im 7.455 * [approximate]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in (re im) around 0 7.455 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in im 7.455 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 7.455 * [taylor]: Taking taylor expansion of 0.5 in im 7.455 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 7.455 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 7.455 * [taylor]: Taking taylor expansion of (/ -1 re) in im 7.455 * [taylor]: Taking taylor expansion of -1 in im 7.455 * [taylor]: Taking taylor expansion of re in im 7.456 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 7.456 * [taylor]: Taking taylor expansion of (/ -1 im) in im 7.456 * [taylor]: Taking taylor expansion of -1 in im 7.456 * [taylor]: Taking taylor expansion of im in im 7.456 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 7.456 * [taylor]: Taking taylor expansion of 0.5 in im 7.456 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 7.456 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 7.456 * [taylor]: Taking taylor expansion of (/ -1 im) in im 7.456 * [taylor]: Taking taylor expansion of -1 in im 7.457 * [taylor]: Taking taylor expansion of im in im 7.457 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 7.457 * [taylor]: Taking taylor expansion of (/ -1 re) in im 7.457 * [taylor]: Taking taylor expansion of -1 in im 7.457 * [taylor]: Taking taylor expansion of re in im 7.457 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in re 7.457 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 7.457 * [taylor]: Taking taylor expansion of 0.5 in re 7.457 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 7.457 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 7.457 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.457 * [taylor]: Taking taylor expansion of -1 in re 7.457 * [taylor]: Taking taylor expansion of re in re 7.457 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 7.457 * [taylor]: Taking taylor expansion of (/ -1 im) in re 7.458 * [taylor]: Taking taylor expansion of -1 in re 7.458 * [taylor]: Taking taylor expansion of im in re 7.458 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 7.458 * [taylor]: Taking taylor expansion of 0.5 in re 7.458 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 7.458 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 7.458 * [taylor]: Taking taylor expansion of (/ -1 im) in re 7.458 * [taylor]: Taking taylor expansion of -1 in re 7.458 * [taylor]: Taking taylor expansion of im in re 7.458 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 7.458 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.458 * [taylor]: Taking taylor expansion of -1 in re 7.458 * [taylor]: Taking taylor expansion of re in re 7.458 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in re 7.458 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 7.458 * [taylor]: Taking taylor expansion of 0.5 in re 7.458 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 7.458 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 7.458 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.458 * [taylor]: Taking taylor expansion of -1 in re 7.458 * [taylor]: Taking taylor expansion of re in re 7.459 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 7.459 * [taylor]: Taking taylor expansion of (/ -1 im) in re 7.459 * [taylor]: Taking taylor expansion of -1 in re 7.459 * [taylor]: Taking taylor expansion of im in re 7.459 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 7.459 * [taylor]: Taking taylor expansion of 0.5 in re 7.459 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 7.459 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 7.459 * [taylor]: Taking taylor expansion of (/ -1 im) in re 7.459 * [taylor]: Taking taylor expansion of -1 in re 7.459 * [taylor]: Taking taylor expansion of im in re 7.459 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 7.459 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.459 * [taylor]: Taking taylor expansion of -1 in re 7.459 * [taylor]: Taking taylor expansion of re in re 7.460 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in im 7.460 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 7.460 * [taylor]: Taking taylor expansion of 0.5 in im 7.460 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 7.460 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 7.460 * [taylor]: Taking taylor expansion of (/ -1 re) in im 7.460 * [taylor]: Taking taylor expansion of -1 in im 7.460 * [taylor]: Taking taylor expansion of re in im 7.460 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 7.460 * [taylor]: Taking taylor expansion of (/ -1 im) in im 7.460 * [taylor]: Taking taylor expansion of -1 in im 7.460 * [taylor]: Taking taylor expansion of im in im 7.461 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 7.461 * [taylor]: Taking taylor expansion of 0.5 in im 7.461 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 7.461 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 7.461 * [taylor]: Taking taylor expansion of (/ -1 im) in im 7.461 * [taylor]: Taking taylor expansion of -1 in im 7.461 * [taylor]: Taking taylor expansion of im in im 7.462 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 7.462 * [taylor]: Taking taylor expansion of (/ -1 re) in im 7.462 * [taylor]: Taking taylor expansion of -1 in im 7.462 * [taylor]: Taking taylor expansion of re in im 7.465 * [taylor]: Taking taylor expansion of 0 in im 7.474 * [taylor]: Taking taylor expansion of 0 in im 7.485 * [taylor]: Taking taylor expansion of 0 in im 7.486 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 7.486 * [approximate]: Taking taylor expansion of (/ (cos re) (exp im)) in (re im) around 0 7.486 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in im 7.486 * [taylor]: Taking taylor expansion of (cos re) in im 7.486 * [taylor]: Taking taylor expansion of re in im 7.486 * [taylor]: Taking taylor expansion of (exp im) in im 7.486 * [taylor]: Taking taylor expansion of im in im 7.486 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 7.486 * [taylor]: Taking taylor expansion of (cos re) in re 7.487 * [taylor]: Taking taylor expansion of re in re 7.487 * [taylor]: Taking taylor expansion of (exp im) in re 7.487 * [taylor]: Taking taylor expansion of im in re 7.487 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 7.487 * [taylor]: Taking taylor expansion of (cos re) in re 7.487 * [taylor]: Taking taylor expansion of re in re 7.487 * [taylor]: Taking taylor expansion of (exp im) in re 7.487 * [taylor]: Taking taylor expansion of im in re 7.487 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 7.487 * [taylor]: Taking taylor expansion of (exp im) in im 7.487 * [taylor]: Taking taylor expansion of im in im 7.488 * [taylor]: Taking taylor expansion of 0 in im 7.490 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (exp im)))) in im 7.491 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (exp im))) in im 7.491 * [taylor]: Taking taylor expansion of 1/2 in im 7.491 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 7.491 * [taylor]: Taking taylor expansion of (exp im) in im 7.491 * [taylor]: Taking taylor expansion of im in im 7.492 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in (re im) around 0 7.492 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 7.492 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 7.492 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.492 * [taylor]: Taking taylor expansion of re in im 7.492 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 7.492 * [taylor]: Taking taylor expansion of (/ 1 im) in im 7.492 * [taylor]: Taking taylor expansion of im in im 7.493 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 7.493 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 7.493 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.493 * [taylor]: Taking taylor expansion of re in re 7.493 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 7.493 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.493 * [taylor]: Taking taylor expansion of im in re 7.493 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 7.493 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 7.493 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.493 * [taylor]: Taking taylor expansion of re in re 7.494 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 7.494 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.494 * [taylor]: Taking taylor expansion of im in re 7.494 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 7.494 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 7.494 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.494 * [taylor]: Taking taylor expansion of re in im 7.494 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 7.494 * [taylor]: Taking taylor expansion of (/ 1 im) in im 7.494 * [taylor]: Taking taylor expansion of im in im 7.496 * [taylor]: Taking taylor expansion of 0 in im 7.499 * [taylor]: Taking taylor expansion of 0 in im 7.502 * [taylor]: Taking taylor expansion of 0 in im 7.503 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in (re im) around 0 7.503 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 7.503 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 7.503 * [taylor]: Taking taylor expansion of (/ -1 re) in im 7.503 * [taylor]: Taking taylor expansion of -1 in im 7.503 * [taylor]: Taking taylor expansion of re in im 7.503 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 7.503 * [taylor]: Taking taylor expansion of (/ -1 im) in im 7.503 * [taylor]: Taking taylor expansion of -1 in im 7.503 * [taylor]: Taking taylor expansion of im in im 7.504 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 7.504 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 7.504 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.504 * [taylor]: Taking taylor expansion of -1 in re 7.504 * [taylor]: Taking taylor expansion of re in re 7.504 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 7.504 * [taylor]: Taking taylor expansion of (/ -1 im) in re 7.504 * [taylor]: Taking taylor expansion of -1 in re 7.504 * [taylor]: Taking taylor expansion of im in re 7.504 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 7.505 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 7.505 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.505 * [taylor]: Taking taylor expansion of -1 in re 7.505 * [taylor]: Taking taylor expansion of re in re 7.505 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 7.505 * [taylor]: Taking taylor expansion of (/ -1 im) in re 7.505 * [taylor]: Taking taylor expansion of -1 in re 7.505 * [taylor]: Taking taylor expansion of im in re 7.505 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 7.505 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 7.505 * [taylor]: Taking taylor expansion of (/ -1 re) in im 7.505 * [taylor]: Taking taylor expansion of -1 in im 7.505 * [taylor]: Taking taylor expansion of re in im 7.505 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 7.505 * [taylor]: Taking taylor expansion of (/ -1 im) in im 7.505 * [taylor]: Taking taylor expansion of -1 in im 7.505 * [taylor]: Taking taylor expansion of im in im 7.507 * [taylor]: Taking taylor expansion of 0 in im 7.510 * [taylor]: Taking taylor expansion of 0 in im 7.514 * [taylor]: Taking taylor expansion of 0 in im 7.514 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 7.515 * [approximate]: Taking taylor expansion of (* 0.5 (* (sqrt (exp im)) (cos re))) in (im re) around 0 7.515 * [taylor]: Taking taylor expansion of (* 0.5 (* (sqrt (exp im)) (cos re))) in re 7.515 * [taylor]: Taking taylor expansion of 0.5 in re 7.515 * [taylor]: Taking taylor expansion of (* (sqrt (exp im)) (cos re)) in re 7.515 * [taylor]: Taking taylor expansion of (sqrt (exp im)) in re 7.515 * [taylor]: Taking taylor expansion of (exp im) in re 7.515 * [taylor]: Taking taylor expansion of im in re 7.516 * [taylor]: Taking taylor expansion of (cos re) in re 7.516 * [taylor]: Taking taylor expansion of re in re 7.516 * [taylor]: Taking taylor expansion of (* 0.5 (* (sqrt (exp im)) (cos re))) in im 7.516 * [taylor]: Taking taylor expansion of 0.5 in im 7.516 * [taylor]: Taking taylor expansion of (* (sqrt (exp im)) (cos re)) in im 7.516 * [taylor]: Taking taylor expansion of (sqrt (exp im)) in im 7.516 * [taylor]: Taking taylor expansion of (exp im) in im 7.516 * [taylor]: Taking taylor expansion of im in im 7.520 * [taylor]: Taking taylor expansion of (cos re) in im 7.520 * [taylor]: Taking taylor expansion of re in im 7.520 * [taylor]: Taking taylor expansion of (* 0.5 (* (sqrt (exp im)) (cos re))) in im 7.520 * [taylor]: Taking taylor expansion of 0.5 in im 7.520 * [taylor]: Taking taylor expansion of (* (sqrt (exp im)) (cos re)) in im 7.520 * [taylor]: Taking taylor expansion of (sqrt (exp im)) in im 7.520 * [taylor]: Taking taylor expansion of (exp im) in im 7.520 * [taylor]: Taking taylor expansion of im in im 7.521 * [taylor]: Taking taylor expansion of (cos re) in im 7.521 * [taylor]: Taking taylor expansion of re in im 7.522 * [taylor]: Taking taylor expansion of (* 0.5 (cos re)) in re 7.522 * [taylor]: Taking taylor expansion of 0.5 in re 7.522 * [taylor]: Taking taylor expansion of (cos re) in re 7.522 * [taylor]: Taking taylor expansion of re in re 7.524 * [taylor]: Taking taylor expansion of (* 0.25 (cos re)) in re 7.524 * [taylor]: Taking taylor expansion of 0.25 in re 7.524 * [taylor]: Taking taylor expansion of (cos re) in re 7.524 * [taylor]: Taking taylor expansion of re in re 7.529 * [taylor]: Taking taylor expansion of (* 0.0625 (cos re)) in re 7.530 * [taylor]: Taking taylor expansion of 0.0625 in re 7.530 * [taylor]: Taking taylor expansion of (cos re) in re 7.530 * [taylor]: Taking taylor expansion of re in re 7.530 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (sqrt (exp (/ 1 im))))) in (im re) around 0 7.530 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (sqrt (exp (/ 1 im))))) in re 7.530 * [taylor]: Taking taylor expansion of 0.5 in re 7.530 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (sqrt (exp (/ 1 im)))) in re 7.530 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 7.530 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.530 * [taylor]: Taking taylor expansion of re in re 7.531 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 im))) in re 7.531 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 7.531 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.531 * [taylor]: Taking taylor expansion of im in re 7.531 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (sqrt (exp (/ 1 im))))) in im 7.531 * [taylor]: Taking taylor expansion of 0.5 in im 7.531 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (sqrt (exp (/ 1 im)))) in im 7.532 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 7.532 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.532 * [taylor]: Taking taylor expansion of re in im 7.532 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 im))) in im 7.532 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 7.532 * [taylor]: Taking taylor expansion of (/ 1 im) in im 7.532 * [taylor]: Taking taylor expansion of im in im 7.532 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (sqrt (exp (/ 1 im))))) in im 7.532 * [taylor]: Taking taylor expansion of 0.5 in im 7.532 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (sqrt (exp (/ 1 im)))) in im 7.532 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 7.532 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.532 * [taylor]: Taking taylor expansion of re in im 7.532 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 im))) in im 7.532 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 7.532 * [taylor]: Taking taylor expansion of (/ 1 im) in im 7.532 * [taylor]: Taking taylor expansion of im in im 7.533 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (sqrt (exp (/ 1 im))))) in re 7.533 * [taylor]: Taking taylor expansion of 0.5 in re 7.533 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (sqrt (exp (/ 1 im)))) in re 7.533 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 7.533 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.533 * [taylor]: Taking taylor expansion of re in re 7.534 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 im))) in re 7.534 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 7.534 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.534 * [taylor]: Taking taylor expansion of im in re 7.537 * [taylor]: Taking taylor expansion of 0 in re 7.541 * [taylor]: Taking taylor expansion of 0 in re 7.548 * [taylor]: Taking taylor expansion of 0 in re 7.549 * [approximate]: Taking taylor expansion of (* 0.5 (* (sqrt (exp (/ -1 im))) (cos (/ -1 re)))) in (im re) around 0 7.549 * [taylor]: Taking taylor expansion of (* 0.5 (* (sqrt (exp (/ -1 im))) (cos (/ -1 re)))) in re 7.549 * [taylor]: Taking taylor expansion of 0.5 in re 7.549 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ -1 im))) (cos (/ -1 re))) in re 7.549 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 im))) in re 7.549 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 7.549 * [taylor]: Taking taylor expansion of (/ -1 im) in re 7.549 * [taylor]: Taking taylor expansion of -1 in re 7.549 * [taylor]: Taking taylor expansion of im in re 7.549 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 7.549 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.550 * [taylor]: Taking taylor expansion of -1 in re 7.550 * [taylor]: Taking taylor expansion of re in re 7.550 * [taylor]: Taking taylor expansion of (* 0.5 (* (sqrt (exp (/ -1 im))) (cos (/ -1 re)))) in im 7.550 * [taylor]: Taking taylor expansion of 0.5 in im 7.550 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ -1 im))) (cos (/ -1 re))) in im 7.550 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 im))) in im 7.550 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 7.550 * [taylor]: Taking taylor expansion of (/ -1 im) in im 7.550 * [taylor]: Taking taylor expansion of -1 in im 7.550 * [taylor]: Taking taylor expansion of im in im 7.550 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 7.550 * [taylor]: Taking taylor expansion of (/ -1 re) in im 7.550 * [taylor]: Taking taylor expansion of -1 in im 7.550 * [taylor]: Taking taylor expansion of re in im 7.551 * [taylor]: Taking taylor expansion of (* 0.5 (* (sqrt (exp (/ -1 im))) (cos (/ -1 re)))) in im 7.551 * [taylor]: Taking taylor expansion of 0.5 in im 7.551 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ -1 im))) (cos (/ -1 re))) in im 7.551 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 im))) in im 7.551 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 7.551 * [taylor]: Taking taylor expansion of (/ -1 im) in im 7.551 * [taylor]: Taking taylor expansion of -1 in im 7.551 * [taylor]: Taking taylor expansion of im in im 7.551 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 7.551 * [taylor]: Taking taylor expansion of (/ -1 re) in im 7.551 * [taylor]: Taking taylor expansion of -1 in im 7.551 * [taylor]: Taking taylor expansion of re in im 7.552 * [taylor]: Taking taylor expansion of (* 0.5 (* (sqrt (exp (/ -1 im))) (cos (/ -1 re)))) in re 7.552 * [taylor]: Taking taylor expansion of 0.5 in re 7.552 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ -1 im))) (cos (/ -1 re))) in re 7.552 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 im))) in re 7.552 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 7.552 * [taylor]: Taking taylor expansion of (/ -1 im) in re 7.552 * [taylor]: Taking taylor expansion of -1 in re 7.552 * [taylor]: Taking taylor expansion of im in re 7.553 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 7.553 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.553 * [taylor]: Taking taylor expansion of -1 in re 7.553 * [taylor]: Taking taylor expansion of re in re 7.556 * [taylor]: Taking taylor expansion of 0 in re 7.560 * [taylor]: Taking taylor expansion of 0 in re 7.568 * [taylor]: Taking taylor expansion of 0 in re 7.568 * * * [progress]: simplifying candidates 7.572 * [simplify]: Simplifying using # : (expm1 (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re))))) (log1p (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re))))) (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re)))) (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re)))) (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re)))) (+ (log (sqrt (exp im))) (+ (log (sqrt (exp im))) (+ (log 0.5) (log (cos re))))) (+ (log (sqrt (exp im))) (+ (log (sqrt (exp im))) (log (* 0.5 (cos re))))) (+ (log (sqrt (exp im))) (log (* (sqrt (exp im)) (* 0.5 (cos re))))) (log (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re))))) (exp (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re))))) (* (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im))) (* (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im))) (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))))) (* (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im))) (* (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im))) (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))))) (* (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im))) (* (* (* (sqrt (exp im)) (* 0.5 (cos re))) (* (sqrt (exp im)) (* 0.5 (cos re)))) (* (sqrt (exp im)) (* 0.5 (cos re))))) (* (cbrt (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re))))) (cbrt (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re)))))) (cbrt (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re))))) (* (* (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re)))) (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re))))) (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re))))) (sqrt (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re))))) (sqrt (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re))))) (* (sqrt (exp im)) (sqrt (exp im))) (* (cbrt (sqrt (exp im))) (* (sqrt (exp im)) (* 0.5 (cos re)))) (* (sqrt (cbrt (exp im))) (* (sqrt (exp im)) (* 0.5 (cos re)))) (* (sqrt (sqrt (exp im))) (* (sqrt (exp im)) (* 0.5 (cos re)))) (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re)))) (* (sqrt (sqrt (exp im))) (* (sqrt (exp im)) (* 0.5 (cos re)))) (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re)))) (expm1 (+ (* (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im))) 0.5) (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re)))))) (log1p (+ (* (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im))) 0.5) (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re)))))) (* (exp (* (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im))) 0.5)) (exp (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re)))))) (log (+ (* (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im))) 0.5) (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re)))))) (exp (+ (* (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im))) 0.5) (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re)))))) (* (cbrt (+ (* (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im))) 0.5) (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re)))))) (cbrt (+ (* (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im))) 0.5) (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re))))))) (cbrt (+ (* (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im))) 0.5) (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re)))))) (* (* (+ (* (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im))) 0.5) (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re))))) (+ (* (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im))) 0.5) (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re)))))) (+ (* (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im))) 0.5) (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re)))))) (sqrt (+ (* (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im))) 0.5) (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re)))))) (sqrt (+ (* (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im))) 0.5) (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re)))))) (+ (pow (* (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im))) 0.5) 3) (pow (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re)))) 3)) (+ (* (* (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im))) 0.5) (* (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im))) 0.5)) (- (* (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re)))) (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re))))) (* (* (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im))) 0.5) (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re))))))) (- (* (* (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im))) 0.5) (* (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im))) 0.5)) (* (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re)))) (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re)))))) (- (* (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im))) 0.5) (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re))))) (expm1 (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im)))) (log1p (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im)))) (- (- (log (cos re)) (log (sqrt (exp im)))) (log (sqrt (exp im)))) (- (log (/ (cos re) (sqrt (exp im)))) (log (sqrt (exp im)))) (log (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im)))) (exp (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im)))) (/ (/ (* (* (cos re) (cos re)) (cos re)) (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im)))) (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im)))) (/ (* (* (/ (cos re) (sqrt (exp im))) (/ (cos re) (sqrt (exp im)))) (/ (cos re) (sqrt (exp im)))) (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im)))) (* (cbrt (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im)))) (cbrt (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im))))) (cbrt (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im)))) (* (* (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im))) (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im)))) (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im)))) (sqrt (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im)))) (sqrt (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im)))) (- (/ (cos re) (sqrt (exp im)))) (- (sqrt (exp im))) (/ (* (cbrt (/ (cos re) (sqrt (exp im)))) (cbrt (/ (cos re) (sqrt (exp im))))) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (cbrt (/ (cos re) (sqrt (exp im)))) (cbrt (sqrt (exp im)))) (/ (* (cbrt (/ (cos re) (sqrt (exp im)))) (cbrt (/ (cos re) (sqrt (exp im))))) (sqrt (* (cbrt (exp im)) (cbrt (exp im))))) (/ (cbrt (/ (cos re) (sqrt (exp im)))) (sqrt (cbrt (exp im)))) (/ (* (cbrt (/ (cos re) (sqrt (exp im)))) (cbrt (/ (cos re) (sqrt (exp im))))) (sqrt (sqrt (exp im)))) (/ (cbrt (/ (cos re) (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (/ (* (cbrt (/ (cos re) (sqrt (exp im)))) (cbrt (/ (cos re) (sqrt (exp im))))) (sqrt 1)) (/ (cbrt (/ (cos re) (sqrt (exp im)))) (sqrt (exp im))) (/ (* (cbrt (/ (cos re) (sqrt (exp im)))) (cbrt (/ (cos re) (sqrt (exp im))))) (sqrt (sqrt (exp im)))) (/ (cbrt (/ (cos re) (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (/ (* (cbrt (/ (cos re) (sqrt (exp im)))) (cbrt (/ (cos re) (sqrt (exp im))))) 1) (/ (cbrt (/ (cos re) (sqrt (exp im)))) (sqrt (exp im))) (/ (sqrt (/ (cos re) (sqrt (exp im)))) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (sqrt (/ (cos re) (sqrt (exp im)))) (cbrt (sqrt (exp im)))) (/ (sqrt (/ (cos re) (sqrt (exp im)))) (sqrt (* (cbrt (exp im)) (cbrt (exp im))))) (/ (sqrt (/ (cos re) (sqrt (exp im)))) (sqrt (cbrt (exp im)))) (/ (sqrt (/ (cos re) (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (/ (sqrt (/ (cos re) (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (/ (sqrt (/ (cos re) (sqrt (exp im)))) (sqrt 1)) (/ (sqrt (/ (cos re) (sqrt (exp im)))) (sqrt (exp im))) (/ (sqrt (/ (cos re) (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (/ (sqrt (/ (cos re) (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (/ (sqrt (/ 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re))) (* (sqrt (exp im)) (* 0.5 (cos re))) (+ (* 0.5 im) (+ (* 0.25 (pow im 2)) 0.5)) (* 0.5 (* (exp im) (cos re))) (* 0.5 (* (exp im) (cos re))) (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2))) (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) (- 1 (+ (* 1/2 (pow re 2)) im)) (/ (cos re) (exp im)) (/ (cos re) (exp im)) (+ (* 0.25 im) (+ (* 0.0625 (pow im 2)) 0.5)) (* 0.5 (* (sqrt (exp im)) (cos re))) (* 0.5 (* (sqrt (exp im)) (cos re))) 7.586 * * [simplify]: iteration 0 : 338 enodes (cost 5356 ) 7.648 * * [simplify]: iteration 1 : 834 enodes (cost 4484 ) 7.839 * * [simplify]: iteration 2 : 3193 enodes (cost 4001 ) 9.080 * * [simplify]: iteration done : 5000 enodes (cost 4001 ) 9.082 * [simplify]: Simplified to: (expm1 (* (exp im) (* 0.5 (cos re)))) (log1p (* (exp im) (* 0.5 (cos re)))) (* (exp im) (* 0.5 (cos re))) (* (exp im) (* 0.5 (cos re))) (* (exp im) (* 0.5 (cos re))) (log (* (exp im) (* 0.5 (cos 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(/ (sqrt (exp im)) (/ (sqrt (cos re)) (cbrt (sqrt (exp im))))) (/ (sqrt (exp im)) (/ (sqrt (cos re)) (sqrt (cbrt (exp im))))) (/ (sqrt (exp im)) (/ (sqrt (cos re)) (sqrt (sqrt (exp im))))) (/ (exp im) (sqrt (cos re))) (/ (sqrt (exp im)) (/ (sqrt (cos re)) (sqrt (sqrt (exp im))))) (/ (exp im) (sqrt (cos re))) (/ (sqrt (exp im)) (/ (cos re) (cbrt (sqrt (exp im))))) (/ (sqrt (exp im)) (/ (cos re) (sqrt (cbrt (exp im))))) (/ (sqrt (exp im)) (/ (cos re) (sqrt (sqrt (exp im))))) (/ (exp im) (cos re)) (/ (sqrt (exp im)) (/ (cos re) (sqrt (sqrt (exp im))))) (/ (exp im) (cos re)) (/ (exp im) (cos re)) (exp im) (exp im) (expm1 (* (sqrt (exp im)) (* 0.5 (cos re)))) (log1p (* (sqrt (exp im)) (* 0.5 (cos re)))) (* (sqrt (exp im)) (* 0.5 (cos re))) (* (sqrt (exp im)) (* 0.5 (cos re))) (log (* (sqrt (exp im)) (* 0.5 (cos re)))) (log (* (sqrt (exp im)) (* 0.5 (cos re)))) (log (* (sqrt (exp im)) (* 0.5 (cos re)))) (exp (* (sqrt (exp im)) (* 0.5 (cos re)))) (pow (* (sqrt (exp im)) (* 0.5 (cos re))) 3) (pow (* (sqrt (exp im)) (* 0.5 (cos re))) 3) (* (cbrt (* (sqrt (exp im)) (* 0.5 (cos re)))) (cbrt (* (sqrt (exp im)) (* 0.5 (cos re))))) (cbrt (* (sqrt (exp im)) (* 0.5 (cos re)))) (pow (* (sqrt (exp im)) (* 0.5 (cos re))) 3) (sqrt (* (sqrt (exp im)) (* 0.5 (cos re)))) (sqrt (* (sqrt (exp im)) (* 0.5 (cos re)))) (* (sqrt (exp im)) 0.5) (* (cbrt (sqrt (exp im))) (* 0.5 (cos re))) (* (sqrt (cbrt (exp im))) (* 0.5 (cos re))) (* (sqrt (sqrt (exp im))) (* 0.5 (cos re))) (* (sqrt (exp im)) (* 0.5 (cos re))) (* (sqrt (sqrt (exp im))) (* 0.5 (cos re))) (* (sqrt (exp im)) (* 0.5 (cos re))) (fma 0.5 im (fma 0.25 (pow im 2) 0.5)) (* (exp im) (* 0.5 (cos re))) (* (exp im) (* 0.5 (cos re))) (- (fma 0.5 (pow im 2) 1.0) (* 0.5 (pow re 2))) (* 0.5 (fma (exp im) (cos re) (/ (cos re) (exp im)))) (* 0.5 (fma (exp im) (cos re) (/ (cos re) (exp im)))) (- 1 (fma 1/2 (pow re 2) im)) (/ (cos re) (exp im)) (/ (cos re) (exp im)) (fma 0.25 im (fma 0.0625 (pow im 2) 0.5)) (* (sqrt (exp im)) (* 0.5 (cos re))) (* (sqrt (exp im)) (* 0.5 (cos re))) 9.084 * * * [progress]: adding candidates to table 9.566 * [progress]: [Phase 3 of 3] Extracting. 9.567 * * [regime]: Finding splitpoints for: (# #) 9.567 * * * [regime-changes]: Trying 4 branch expressions: ((cos re) (* 0.5 (cos re)) im re) 9.567 * * * * [regimes]: Trying to branch on (cos re) from (# #) 9.585 * * * * [regimes]: Trying to branch on (* 0.5 (cos re)) from (# #) 9.601 * * * * [regimes]: Trying to branch on im from (# #) 9.615 * * * * [regimes]: Trying to branch on re from (# #) 9.631 * * * [regime]: Found split indices: #