24.112 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.076 * * * [progress]: [2/2] Setting up program. 0.078 * [progress]: [Phase 2 of 3] Improving. 0.079 * [simplify]: Simplifying using # : (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 0.080 * * [simplify]: iteration 0 : 10 enodes (cost 11 ) 0.081 * * [simplify]: iteration 1 : 23 enodes (cost 11 ) 0.085 * * [simplify]: iteration 2 : 58 enodes (cost 11 ) 0.098 * * [simplify]: iteration 3 : 108 enodes (cost 11 ) 0.117 * * [simplify]: iteration 4 : 253 enodes (cost 11 ) 0.199 * * [simplify]: iteration 5 : 389 enodes (cost 11 ) 0.387 * * [simplify]: iteration 6 : 530 enodes (cost 11 ) 0.707 * * [simplify]: iteration 7 : 809 enodes (cost 11 ) 1.438 * * [simplify]: iteration 8 : 1323 enodes (cost 11 ) 3.333 * * [simplify]: iteration done : 5000 enodes (cost 11 ) 3.333 * [simplify]: Simplified to: (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3.333 * * [progress]: iteration 1 / 4 3.333 * * * [progress]: picking best candidate 3.336 * * * * [pick]: Picked # 3.336 * * * [progress]: localizing error 3.345 * * * [progress]: generating rewritten candidates 3.345 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 3.373 * * * [progress]: generating series expansions 3.373 * * * * [progress]: [ 1 / 1 ] generating series at (2) 3.374 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in (re im) around 0 3.374 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in im 3.374 * [taylor]: Taking taylor expansion of 0.5 in im 3.374 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in im 3.374 * [taylor]: Taking taylor expansion of (cos re) in im 3.374 * [taylor]: Taking taylor expansion of re in im 3.374 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 3.374 * [taylor]: Taking taylor expansion of (exp im) in im 3.374 * [taylor]: Taking taylor expansion of im in im 3.374 * [taylor]: Taking taylor expansion of (exp (- im)) in im 3.374 * [taylor]: Taking taylor expansion of (- im) in im 3.374 * [taylor]: Taking taylor expansion of im in im 3.375 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 3.375 * [taylor]: Taking taylor expansion of 0.5 in re 3.375 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 3.375 * [taylor]: Taking taylor expansion of (cos re) in re 3.375 * [taylor]: Taking taylor expansion of re in re 3.375 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 3.375 * [taylor]: Taking taylor expansion of (exp im) in re 3.375 * [taylor]: Taking taylor expansion of im in re 3.375 * [taylor]: Taking taylor expansion of (exp (- im)) in re 3.375 * [taylor]: Taking taylor expansion of (- im) in re 3.375 * [taylor]: Taking taylor expansion of im in re 3.375 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 3.375 * [taylor]: Taking taylor expansion of 0.5 in re 3.375 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 3.375 * [taylor]: Taking taylor expansion of (cos re) in re 3.375 * [taylor]: Taking taylor expansion of re in re 3.375 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 3.375 * [taylor]: Taking taylor expansion of (exp im) in re 3.375 * [taylor]: Taking taylor expansion of im in re 3.375 * [taylor]: Taking taylor expansion of (exp (- im)) in re 3.375 * [taylor]: Taking taylor expansion of (- im) in re 3.375 * [taylor]: Taking taylor expansion of im in re 3.376 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im 3.376 * [taylor]: Taking taylor expansion of 0.5 in im 3.376 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 3.376 * [taylor]: Taking taylor expansion of (exp im) in im 3.376 * [taylor]: Taking taylor expansion of im in im 3.376 * [taylor]: Taking taylor expansion of (exp (- im)) in im 3.376 * [taylor]: Taking taylor expansion of (- im) in im 3.376 * [taylor]: Taking taylor expansion of im in im 3.379 * [taylor]: Taking taylor expansion of 0 in im 3.385 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) in im 3.385 * [taylor]: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) in im 3.385 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 3.385 * [taylor]: Taking taylor expansion of 0.25 in im 3.385 * [taylor]: Taking taylor expansion of (exp im) in im 3.385 * [taylor]: Taking taylor expansion of im in im 3.385 * [taylor]: Taking taylor expansion of (* 0.25 (exp (- im))) in im 3.385 * [taylor]: Taking taylor expansion of 0.25 in im 3.385 * [taylor]: Taking taylor expansion of (exp (- im)) in im 3.385 * [taylor]: Taking taylor expansion of (- im) in im 3.385 * [taylor]: Taking taylor expansion of im in im 3.391 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in (re im) around 0 3.391 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 3.391 * [taylor]: Taking taylor expansion of 0.5 in im 3.391 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 3.391 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 3.391 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.391 * [taylor]: Taking taylor expansion of re in im 3.391 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 3.391 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 3.391 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 3.391 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.391 * [taylor]: Taking taylor expansion of im in im 3.392 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 3.392 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.392 * [taylor]: Taking taylor expansion of im in im 3.392 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 3.392 * [taylor]: Taking taylor expansion of 0.5 in re 3.392 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 3.392 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 3.392 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.392 * [taylor]: Taking taylor expansion of re in re 3.393 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 3.393 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 3.393 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 3.393 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.393 * [taylor]: Taking taylor expansion of im in re 3.393 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 3.393 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.393 * [taylor]: Taking taylor expansion of im in re 3.393 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 3.393 * [taylor]: Taking taylor expansion of 0.5 in re 3.393 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 3.393 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 3.393 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.393 * [taylor]: Taking taylor expansion of re in re 3.393 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 3.393 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 3.393 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 3.393 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.393 * [taylor]: Taking taylor expansion of im in re 3.394 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 3.394 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.394 * [taylor]: Taking taylor expansion of im in re 3.394 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 3.394 * [taylor]: Taking taylor expansion of 0.5 in im 3.394 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 3.394 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 3.394 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.394 * [taylor]: Taking taylor expansion of re in im 3.394 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 3.394 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 3.394 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 3.394 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.394 * [taylor]: Taking taylor expansion of im in im 3.395 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 3.395 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.395 * [taylor]: Taking taylor expansion of im in im 3.398 * [taylor]: Taking taylor expansion of 0 in im 3.405 * [taylor]: Taking taylor expansion of 0 in im 3.413 * [taylor]: Taking taylor expansion of 0 in im 3.413 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in (re im) around 0 3.413 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 3.413 * [taylor]: Taking taylor expansion of 0.5 in im 3.413 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 3.413 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 3.413 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 3.414 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.414 * [taylor]: Taking taylor expansion of -1 in im 3.414 * [taylor]: Taking taylor expansion of im in im 3.414 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 3.414 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.414 * [taylor]: Taking taylor expansion of im in im 3.414 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 3.414 * [taylor]: Taking taylor expansion of (/ -1 re) in im 3.414 * [taylor]: Taking taylor expansion of -1 in im 3.414 * [taylor]: Taking taylor expansion of re in im 3.414 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 3.414 * [taylor]: Taking taylor expansion of 0.5 in re 3.414 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 3.414 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 3.414 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 3.415 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.415 * [taylor]: Taking taylor expansion of -1 in re 3.415 * [taylor]: Taking taylor expansion of im in re 3.415 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 3.415 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.415 * [taylor]: Taking taylor expansion of im in re 3.415 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 3.415 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.415 * [taylor]: Taking taylor expansion of -1 in re 3.415 * [taylor]: Taking taylor expansion of re in re 3.418 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 3.418 * [taylor]: Taking taylor expansion of 0.5 in re 3.418 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 3.418 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 3.418 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 3.418 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.418 * [taylor]: Taking taylor expansion of -1 in re 3.418 * [taylor]: Taking taylor expansion of im in re 3.418 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 3.419 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.419 * [taylor]: Taking taylor expansion of im in re 3.419 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 3.419 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.419 * [taylor]: Taking taylor expansion of -1 in re 3.419 * [taylor]: Taking taylor expansion of re in re 3.419 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 3.419 * [taylor]: Taking taylor expansion of 0.5 in im 3.419 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 3.419 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 3.420 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 3.420 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.420 * [taylor]: Taking taylor expansion of -1 in im 3.420 * [taylor]: Taking taylor expansion of im in im 3.420 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 3.420 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.420 * [taylor]: Taking taylor expansion of im in im 3.420 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 3.420 * [taylor]: Taking taylor expansion of (/ -1 re) in im 3.420 * [taylor]: Taking taylor expansion of -1 in im 3.420 * [taylor]: Taking taylor expansion of re in im 3.423 * [taylor]: Taking taylor expansion of 0 in im 3.428 * [taylor]: Taking taylor expansion of 0 in im 3.435 * [taylor]: Taking taylor expansion of 0 in im 3.436 * * * [progress]: simplifying candidates 3.436 * [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)))) (- (+ (* 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))) 3.438 * * [simplify]: iteration 0 : 75 enodes (cost 415 ) 3.453 * * [simplify]: iteration 1 : 220 enodes (cost 404 ) 3.510 * * [simplify]: iteration 2 : 1013 enodes (cost 334 ) 3.925 * * [simplify]: iteration done : 5000 enodes (cost 333 ) 3.925 * [simplify]: Simplified to: (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 (* (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 (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3) (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 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 (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3) (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (* 0.5 (/ (cos re) (exp im))) (* (exp im) (* 0.5 (cos re))) (* 0.5 (/ (cos re) (exp im))) (* (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))) (+ (* 0.5 (- (pow im 2) (pow re 2))) 1.0) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3.925 * * * [progress]: adding candidates to table 3.982 * * [progress]: iteration 2 / 4 3.982 * * * [progress]: picking best candidate 3.986 * * * * [pick]: Picked # 3.986 * * * [progress]: localizing error 3.996 * * * [progress]: generating rewritten candidates 3.996 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 4.000 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 4.009 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 4.018 * * * [progress]: generating series expansions 4.018 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 4.018 * [approximate]: Taking taylor expansion of (/ (cos re) (exp im)) in (re im) around 0 4.018 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in im 4.018 * [taylor]: Taking taylor expansion of (cos re) in im 4.018 * [taylor]: Taking taylor expansion of re in im 4.018 * [taylor]: Taking taylor expansion of (exp im) in im 4.018 * [taylor]: Taking taylor expansion of im in im 4.019 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 4.019 * [taylor]: Taking taylor expansion of (cos re) in re 4.019 * [taylor]: Taking taylor expansion of re in re 4.019 * [taylor]: Taking taylor expansion of (exp im) in re 4.019 * [taylor]: Taking taylor expansion of im in re 4.019 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 4.019 * [taylor]: Taking taylor expansion of (cos re) in re 4.019 * [taylor]: Taking taylor expansion of re in re 4.019 * [taylor]: Taking taylor expansion of (exp im) in re 4.019 * [taylor]: Taking taylor expansion of im in re 4.019 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 4.019 * [taylor]: Taking taylor expansion of (exp im) in im 4.019 * [taylor]: Taking taylor expansion of im in im 4.020 * [taylor]: Taking taylor expansion of 0 in im 4.023 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (exp im)))) in im 4.023 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (exp im))) in im 4.023 * [taylor]: Taking taylor expansion of 1/2 in im 4.023 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 4.023 * [taylor]: Taking taylor expansion of (exp im) in im 4.023 * [taylor]: Taking taylor expansion of im in im 4.024 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in (re im) around 0 4.024 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 4.024 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 4.024 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.024 * [taylor]: Taking taylor expansion of re in im 4.024 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 4.024 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.024 * [taylor]: Taking taylor expansion of im in im 4.025 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 4.025 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 4.025 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.025 * [taylor]: Taking taylor expansion of re in re 4.025 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 4.025 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.025 * [taylor]: Taking taylor expansion of im in re 4.025 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 4.025 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 4.025 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.025 * [taylor]: Taking taylor expansion of re in re 4.026 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 4.026 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.026 * [taylor]: Taking taylor expansion of im in re 4.026 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 4.026 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 4.026 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.026 * [taylor]: Taking taylor expansion of re in im 4.026 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 4.026 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.026 * [taylor]: Taking taylor expansion of im in im 4.028 * [taylor]: Taking taylor expansion of 0 in im 4.031 * [taylor]: Taking taylor expansion of 0 in im 4.035 * [taylor]: Taking taylor expansion of 0 in im 4.035 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in (re im) around 0 4.035 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 4.035 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 4.035 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.035 * [taylor]: Taking taylor expansion of -1 in im 4.035 * [taylor]: Taking taylor expansion of re in im 4.035 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 4.035 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.035 * [taylor]: Taking taylor expansion of -1 in im 4.035 * [taylor]: Taking taylor expansion of im in im 4.036 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 4.036 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 4.036 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.036 * [taylor]: Taking taylor expansion of -1 in re 4.036 * [taylor]: Taking taylor expansion of re in re 4.036 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 4.036 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.036 * [taylor]: Taking taylor expansion of -1 in re 4.037 * [taylor]: Taking taylor expansion of im in re 4.037 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 4.037 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 4.037 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.037 * [taylor]: Taking taylor expansion of -1 in re 4.037 * [taylor]: Taking taylor expansion of re in re 4.037 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 4.037 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.037 * [taylor]: Taking taylor expansion of -1 in re 4.037 * [taylor]: Taking taylor expansion of im in re 4.037 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 4.037 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 4.037 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.037 * [taylor]: Taking taylor expansion of -1 in im 4.037 * [taylor]: Taking taylor expansion of re in im 4.037 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 4.037 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.038 * [taylor]: Taking taylor expansion of -1 in im 4.038 * [taylor]: Taking taylor expansion of im in im 4.039 * [taylor]: Taking taylor expansion of 0 in im 4.042 * [taylor]: Taking taylor expansion of 0 in im 4.046 * [taylor]: Taking taylor expansion of 0 in im 4.046 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 4.046 * [approximate]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in (im re) around 0 4.046 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 4.046 * [taylor]: Taking taylor expansion of 0.5 in re 4.046 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 4.046 * [taylor]: Taking taylor expansion of (exp im) in re 4.046 * [taylor]: Taking taylor expansion of im in re 4.047 * [taylor]: Taking taylor expansion of (cos re) in re 4.047 * [taylor]: Taking taylor expansion of re in re 4.047 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in im 4.047 * [taylor]: Taking taylor expansion of 0.5 in im 4.047 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in im 4.047 * [taylor]: Taking taylor expansion of (exp im) in im 4.047 * [taylor]: Taking taylor expansion of im in im 4.047 * [taylor]: Taking taylor expansion of (cos re) in im 4.047 * [taylor]: Taking taylor expansion of re in im 4.047 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in im 4.047 * [taylor]: Taking taylor expansion of 0.5 in im 4.047 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in im 4.047 * [taylor]: Taking taylor expansion of (exp im) in im 4.047 * [taylor]: Taking taylor expansion of im in im 4.047 * [taylor]: Taking taylor expansion of (cos re) in im 4.047 * [taylor]: Taking taylor expansion of re in im 4.047 * [taylor]: Taking taylor expansion of (* 0.5 (cos re)) in re 4.047 * [taylor]: Taking taylor expansion of 0.5 in re 4.047 * [taylor]: Taking taylor expansion of (cos re) in re 4.047 * [taylor]: Taking taylor expansion of re in re 4.050 * [taylor]: Taking taylor expansion of (* 0.5 (cos re)) in re 4.050 * [taylor]: Taking taylor expansion of 0.5 in re 4.050 * [taylor]: Taking taylor expansion of (cos re) in re 4.050 * [taylor]: Taking taylor expansion of re in re 4.055 * [taylor]: Taking taylor expansion of (* 0.25 (cos re)) in re 4.055 * [taylor]: Taking taylor expansion of 0.25 in re 4.055 * [taylor]: Taking taylor expansion of (cos re) in re 4.055 * [taylor]: Taking taylor expansion of re in re 4.056 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in (im re) around 0 4.056 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 4.056 * [taylor]: Taking taylor expansion of 0.5 in re 4.056 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 4.056 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 4.056 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.056 * [taylor]: Taking taylor expansion of re in re 4.056 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 4.056 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.056 * [taylor]: Taking taylor expansion of im in re 4.056 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 4.056 * [taylor]: Taking taylor expansion of 0.5 in im 4.056 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 4.056 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 4.056 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.056 * [taylor]: Taking taylor expansion of re in im 4.057 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 4.057 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.057 * [taylor]: Taking taylor expansion of im in im 4.057 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 4.057 * [taylor]: Taking taylor expansion of 0.5 in im 4.060 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 4.060 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 4.060 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.060 * [taylor]: Taking taylor expansion of re in im 4.060 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 4.060 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.060 * [taylor]: Taking taylor expansion of im in im 4.061 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 4.061 * [taylor]: Taking taylor expansion of 0.5 in re 4.061 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 4.061 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 4.061 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.061 * [taylor]: Taking taylor expansion of re in re 4.061 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 4.061 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.061 * [taylor]: Taking taylor expansion of im in re 4.064 * [taylor]: Taking taylor expansion of 0 in re 4.068 * [taylor]: Taking taylor expansion of 0 in re 4.074 * [taylor]: Taking taylor expansion of 0 in re 4.074 * [approximate]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in (im re) around 0 4.074 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 4.074 * [taylor]: Taking taylor expansion of 0.5 in re 4.074 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 4.074 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 4.074 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.075 * [taylor]: Taking taylor expansion of -1 in re 4.075 * [taylor]: Taking taylor expansion of im in re 4.075 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 4.075 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.075 * [taylor]: Taking taylor expansion of -1 in re 4.075 * [taylor]: Taking taylor expansion of re in re 4.075 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 4.075 * [taylor]: Taking taylor expansion of 0.5 in im 4.075 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 4.075 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 4.075 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.075 * [taylor]: Taking taylor expansion of -1 in im 4.075 * [taylor]: Taking taylor expansion of im in im 4.075 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 4.075 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.075 * [taylor]: Taking taylor expansion of -1 in im 4.076 * [taylor]: Taking taylor expansion of re in im 4.076 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 4.076 * [taylor]: Taking taylor expansion of 0.5 in im 4.076 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 4.076 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 4.076 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.076 * [taylor]: Taking taylor expansion of -1 in im 4.076 * [taylor]: Taking taylor expansion of im in im 4.076 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 4.076 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.076 * [taylor]: Taking taylor expansion of -1 in im 4.076 * [taylor]: Taking taylor expansion of re in im 4.077 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 4.077 * [taylor]: Taking taylor expansion of 0.5 in re 4.077 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 4.077 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 4.077 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.077 * [taylor]: Taking taylor expansion of -1 in re 4.077 * [taylor]: Taking taylor expansion of im in re 4.077 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 4.077 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.077 * [taylor]: Taking taylor expansion of -1 in re 4.077 * [taylor]: Taking taylor expansion of re in re 4.080 * [taylor]: Taking taylor expansion of 0 in re 4.084 * [taylor]: Taking taylor expansion of 0 in re 4.090 * [taylor]: Taking taylor expansion of 0 in re 4.090 * * * * [progress]: [ 3 / 3 ] generating series at (2) 4.090 * [approximate]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in (re im) around 0 4.091 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in im 4.091 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in im 4.091 * [taylor]: Taking taylor expansion of 0.5 in im 4.091 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in im 4.091 * [taylor]: Taking taylor expansion of (exp im) in im 4.091 * [taylor]: Taking taylor expansion of im in im 4.091 * [taylor]: Taking taylor expansion of (cos re) in im 4.091 * [taylor]: Taking taylor expansion of re in im 4.091 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in im 4.091 * [taylor]: Taking taylor expansion of 0.5 in im 4.091 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in im 4.091 * [taylor]: Taking taylor expansion of (cos re) in im 4.091 * [taylor]: Taking taylor expansion of re in im 4.091 * [taylor]: Taking taylor expansion of (exp im) in im 4.091 * [taylor]: Taking taylor expansion of im in im 4.091 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in re 4.091 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 4.091 * [taylor]: Taking taylor expansion of 0.5 in re 4.091 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 4.091 * [taylor]: Taking taylor expansion of (exp im) in re 4.091 * [taylor]: Taking taylor expansion of im in re 4.091 * [taylor]: Taking taylor expansion of (cos re) in re 4.091 * [taylor]: Taking taylor expansion of re in re 4.091 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 4.091 * [taylor]: Taking taylor expansion of 0.5 in re 4.091 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 4.091 * [taylor]: Taking taylor expansion of (cos re) in re 4.091 * [taylor]: Taking taylor expansion of re in re 4.092 * [taylor]: Taking taylor expansion of (exp im) in re 4.092 * [taylor]: Taking taylor expansion of im in re 4.092 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in re 4.092 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 4.092 * [taylor]: Taking taylor expansion of 0.5 in re 4.092 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 4.092 * [taylor]: Taking taylor expansion of (exp im) in re 4.092 * [taylor]: Taking taylor expansion of im in re 4.092 * [taylor]: Taking taylor expansion of (cos re) in re 4.092 * [taylor]: Taking taylor expansion of re in re 4.092 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 4.092 * [taylor]: Taking taylor expansion of 0.5 in re 4.092 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 4.092 * [taylor]: Taking taylor expansion of (cos re) in re 4.092 * [taylor]: Taking taylor expansion of re in re 4.092 * [taylor]: Taking taylor expansion of (exp im) in re 4.092 * [taylor]: Taking taylor expansion of im in re 4.092 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (exp im))) (* 0.5 (exp im))) in im 4.092 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (exp im))) in im 4.092 * [taylor]: Taking taylor expansion of 0.5 in im 4.092 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 4.092 * [taylor]: Taking taylor expansion of (exp im) in im 4.092 * [taylor]: Taking taylor expansion of im in im 4.093 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 4.093 * [taylor]: Taking taylor expansion of 0.5 in im 4.093 * [taylor]: Taking taylor expansion of (exp im) in im 4.093 * [taylor]: Taking taylor expansion of im in im 4.096 * [taylor]: Taking taylor expansion of 0 in im 4.104 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (/ 1 (exp im))) (* 0.25 (exp im)))) in im 4.104 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ 1 (exp im))) (* 0.25 (exp im))) in im 4.104 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (exp im))) in im 4.104 * [taylor]: Taking taylor expansion of 0.25 in im 4.104 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 4.104 * [taylor]: Taking taylor expansion of (exp im) in im 4.104 * [taylor]: Taking taylor expansion of im in im 4.104 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 4.104 * [taylor]: Taking taylor expansion of 0.25 in im 4.104 * [taylor]: Taking taylor expansion of (exp im) in im 4.104 * [taylor]: Taking taylor expansion of im in im 4.111 * [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 4.111 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in im 4.111 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 4.111 * [taylor]: Taking taylor expansion of 0.5 in im 4.111 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 4.111 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 4.111 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.111 * [taylor]: Taking taylor expansion of re in im 4.111 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 4.111 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.111 * [taylor]: Taking taylor expansion of im in im 4.112 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 4.112 * [taylor]: Taking taylor expansion of 0.5 in im 4.112 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 4.112 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 4.112 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.112 * [taylor]: Taking taylor expansion of re in im 4.112 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 4.112 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.112 * [taylor]: Taking taylor expansion of im in im 4.113 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in re 4.113 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 4.113 * [taylor]: Taking taylor expansion of 0.5 in re 4.113 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 4.113 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 4.113 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.113 * [taylor]: Taking taylor expansion of re in re 4.113 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 4.113 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.113 * [taylor]: Taking taylor expansion of im in re 4.113 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 4.113 * [taylor]: Taking taylor expansion of 0.5 in re 4.113 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 4.113 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 4.113 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.113 * [taylor]: Taking taylor expansion of re in re 4.114 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 4.114 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.114 * [taylor]: Taking taylor expansion of im in re 4.114 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in re 4.114 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 4.114 * [taylor]: Taking taylor expansion of 0.5 in re 4.114 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 4.114 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 4.114 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.114 * [taylor]: Taking taylor expansion of re in re 4.114 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 4.114 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.114 * [taylor]: Taking taylor expansion of im in re 4.114 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 4.114 * [taylor]: Taking taylor expansion of 0.5 in re 4.114 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 4.114 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 4.114 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.114 * [taylor]: Taking taylor expansion of re in re 4.115 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 4.115 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.115 * [taylor]: Taking taylor expansion of im in re 4.115 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in im 4.115 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 4.115 * [taylor]: Taking taylor expansion of 0.5 in im 4.115 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 4.115 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 4.115 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.115 * [taylor]: Taking taylor expansion of re in im 4.116 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 4.116 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.116 * [taylor]: Taking taylor expansion of im in im 4.116 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 4.116 * [taylor]: Taking taylor expansion of 0.5 in im 4.116 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 4.116 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 4.116 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.116 * [taylor]: Taking taylor expansion of re in im 4.116 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 4.116 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.116 * [taylor]: Taking taylor expansion of im in im 4.120 * [taylor]: Taking taylor expansion of 0 in im 4.129 * [taylor]: Taking taylor expansion of 0 in im 4.140 * [taylor]: Taking taylor expansion of 0 in im 4.141 * [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 4.141 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in im 4.141 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 4.141 * [taylor]: Taking taylor expansion of 0.5 in im 4.141 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 4.141 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 4.141 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.141 * [taylor]: Taking taylor expansion of -1 in im 4.141 * [taylor]: Taking taylor expansion of re in im 4.141 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 4.141 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.141 * [taylor]: Taking taylor expansion of -1 in im 4.141 * [taylor]: Taking taylor expansion of im in im 4.142 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 4.142 * [taylor]: Taking taylor expansion of 0.5 in im 4.142 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 4.142 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 4.142 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.142 * [taylor]: Taking taylor expansion of -1 in im 4.142 * [taylor]: Taking taylor expansion of im in im 4.142 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 4.142 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.142 * [taylor]: Taking taylor expansion of -1 in im 4.142 * [taylor]: Taking taylor expansion of re in im 4.142 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in re 4.142 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 4.143 * [taylor]: Taking taylor expansion of 0.5 in re 4.143 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 4.143 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 4.143 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.143 * [taylor]: Taking taylor expansion of -1 in re 4.143 * [taylor]: Taking taylor expansion of re in re 4.143 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 4.143 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.143 * [taylor]: Taking taylor expansion of -1 in re 4.143 * [taylor]: Taking taylor expansion of im in re 4.143 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 4.143 * [taylor]: Taking taylor expansion of 0.5 in re 4.143 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 4.143 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 4.143 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.143 * [taylor]: Taking taylor expansion of -1 in re 4.143 * [taylor]: Taking taylor expansion of im in re 4.143 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 4.143 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.143 * [taylor]: Taking taylor expansion of -1 in re 4.143 * [taylor]: Taking taylor expansion of re in re 4.144 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in re 4.144 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 4.144 * [taylor]: Taking taylor expansion of 0.5 in re 4.144 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 4.144 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 4.144 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.144 * [taylor]: Taking taylor expansion of -1 in re 4.144 * [taylor]: Taking taylor expansion of re in re 4.144 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 4.144 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.144 * [taylor]: Taking taylor expansion of -1 in re 4.144 * [taylor]: Taking taylor expansion of im in re 4.144 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 4.144 * [taylor]: Taking taylor expansion of 0.5 in re 4.144 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 4.144 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 4.145 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.145 * [taylor]: Taking taylor expansion of -1 in re 4.145 * [taylor]: Taking taylor expansion of im in re 4.145 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 4.145 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.145 * [taylor]: Taking taylor expansion of -1 in re 4.145 * [taylor]: Taking taylor expansion of re in re 4.145 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in im 4.145 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 4.145 * [taylor]: Taking taylor expansion of 0.5 in im 4.146 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 4.146 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 4.146 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.146 * [taylor]: Taking taylor expansion of -1 in im 4.146 * [taylor]: Taking taylor expansion of re in im 4.146 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 4.146 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.146 * [taylor]: Taking taylor expansion of -1 in im 4.146 * [taylor]: Taking taylor expansion of im in im 4.146 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 4.146 * [taylor]: Taking taylor expansion of 0.5 in im 4.147 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 4.147 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 4.147 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.147 * [taylor]: Taking taylor expansion of -1 in im 4.147 * [taylor]: Taking taylor expansion of im in im 4.147 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 4.147 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.147 * [taylor]: Taking taylor expansion of -1 in im 4.147 * [taylor]: Taking taylor expansion of re in im 4.153 * [taylor]: Taking taylor expansion of 0 in im 4.161 * [taylor]: Taking taylor expansion of 0 in im 4.173 * [taylor]: Taking taylor expansion of 0 in im 4.173 * * * [progress]: simplifying candidates 4.174 * [simplify]: Simplifying using # : (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)) (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 (+ (* 0.5 (/ (cos re) (exp im))) (* (exp im) (* 0.5 (cos re))))) (log1p (+ (* 0.5 (/ (cos re) (exp im))) (* (exp im) (* 0.5 (cos re))))) (* (exp (* 0.5 (/ (cos re) (exp im)))) (exp (* (exp im) (* 0.5 (cos re))))) (log (+ (* 0.5 (/ (cos re) (exp im))) (* (exp im) (* 0.5 (cos re))))) (exp (+ (* 0.5 (/ (cos re) (exp im))) (* (exp im) (* 0.5 (cos re))))) (* (cbrt (+ (* 0.5 (/ (cos re) (exp im))) (* (exp im) (* 0.5 (cos re))))) (cbrt (+ (* 0.5 (/ (cos re) (exp im))) (* (exp im) (* 0.5 (cos re)))))) (cbrt (+ (* 0.5 (/ (cos re) (exp im))) (* (exp im) (* 0.5 (cos re))))) (* (* (+ (* 0.5 (/ (cos re) (exp im))) (* (exp im) (* 0.5 (cos re)))) (+ (* 0.5 (/ (cos re) (exp im))) (* (exp im) (* 0.5 (cos re))))) (+ (* 0.5 (/ (cos re) (exp im))) (* (exp im) (* 0.5 (cos re))))) (sqrt (+ (* 0.5 (/ (cos re) (exp im))) (* (exp im) (* 0.5 (cos re))))) (sqrt (+ (* 0.5 (/ (cos re) (exp im))) (* (exp im) (* 0.5 (cos re))))) (+ (pow (* 0.5 (/ (cos re) (exp im))) 3) (pow (* (exp im) (* 0.5 (cos re))) 3)) (+ (* (* 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) (exp im))) (* (exp im) (* 0.5 (cos re)))))) (- (* (* 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) (exp im))) (* (exp im) (* 0.5 (cos re)))) (- 1 (+ (* 1/2 (pow re 2)) im)) (/ (cos re) (exp im)) (/ (cos re) (exp im)) (+ (* 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)))) 4.177 * * [simplify]: iteration 0 : 122 enodes (cost 884 ) 4.199 * * [simplify]: iteration 1 : 317 enodes (cost 811 ) 4.275 * * [simplify]: iteration 2 : 1188 enodes (cost 717 ) 4.663 * * [simplify]: iteration done : 5000 enodes (cost 714 ) 4.663 * [simplify]: Simplified to: (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)) (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 (cos re)))) (+ im (log (* 0.5 (cos re)))) (+ im (log (* 0.5 (cos re)))) (exp (* (exp im) (* 0.5 (cos re)))) (pow (* (exp im) (* 0.5 (cos re))) 3) (pow (* (exp im) (* 0.5 (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 (* (exp im) (* 0.5 (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))) (* (exp im) (* 0.5 (cos re))) (expm1 (* 0.5 (fma (exp im) (cos re) (/ (cos re) (exp im))))) (log1p (* 0.5 (fma (exp im) (cos re) (/ (cos re) (exp im))))) (pow (exp 0.5) (fma (exp im) (cos re) (/ (cos re) (exp im)))) (log (* 0.5 (fma (exp im) (cos re) (/ (cos re) (exp im))))) (pow (exp 0.5) (fma (exp im) (cos re) (/ (cos re) (exp im)))) (* (cbrt (* 0.5 (fma (exp im) (cos re) (/ (cos re) (exp im))))) (cbrt (* 0.5 (fma (exp im) (cos re) (/ (cos re) (exp im)))))) (cbrt (* 0.5 (fma (exp im) (cos re) (/ (cos re) (exp im))))) (pow (* 0.5 (fma (exp im) (cos re) (/ (cos re) (exp im)))) 3) (sqrt (* 0.5 (fma (exp im) (cos re) (/ (cos re) (exp im))))) (sqrt (* 0.5 (fma (exp im) (cos re) (/ (cos re) (exp im))))) (+ (pow (* 0.5 (/ (cos re) (exp im))) 3) (pow (* (exp im) (* 0.5 (cos re))) 3)) (* 0.5 (+ (* (* (exp im) (cos re)) (* 0.5 (- (* (exp im) (cos re)) (/ (cos re) (exp im))))) (* (/ (* (cos re) (cos re)) (exp (+ im im))) 0.5))) (* (* 0.5 0.5) (- (/ (* (cos re) (cos re)) (exp (+ im im))) (* (cos re) (* (cos re) (exp (+ im im)))))) (* 0.5 (- (/ (cos re) (exp im)) (* (exp im) (cos re)))) (- 1 (fma 1/2 (pow re 2) im)) (/ (cos re) (exp im)) (/ (cos re) (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))) (+ 1.0 (* 0.5 (- (pow im 2) (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)))) 4.664 * * * [progress]: adding candidates to table 4.842 * * [progress]: iteration 3 / 4 4.842 * * * [progress]: picking best candidate 4.844 * * * * [pick]: Picked # 4.844 * * * [progress]: localizing error 4.856 * * * [progress]: generating rewritten candidates 4.856 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 4.863 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 4.866 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 4.875 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 4.892 * * * [progress]: generating series expansions 4.892 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 4.892 * [approximate]: Taking taylor expansion of (/ (cos re) (exp im)) in (im re) around 0 4.892 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 4.892 * [taylor]: Taking taylor expansion of (cos re) in re 4.892 * [taylor]: Taking taylor expansion of re in re 4.892 * [taylor]: Taking taylor expansion of (exp im) in re 4.892 * [taylor]: Taking taylor expansion of im in re 4.893 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in im 4.893 * [taylor]: Taking taylor expansion of (cos re) in im 4.893 * [taylor]: Taking taylor expansion of re in im 4.893 * [taylor]: Taking taylor expansion of (exp im) in im 4.893 * [taylor]: Taking taylor expansion of im in im 4.893 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in im 4.893 * [taylor]: Taking taylor expansion of (cos re) in im 4.893 * [taylor]: Taking taylor expansion of re in im 4.893 * [taylor]: Taking taylor expansion of (exp im) in im 4.893 * [taylor]: Taking taylor expansion of im in im 4.894 * [taylor]: Taking taylor expansion of (cos re) in re 4.894 * [taylor]: Taking taylor expansion of re in re 4.897 * [taylor]: Taking taylor expansion of (- (cos re)) in re 4.897 * [taylor]: Taking taylor expansion of (cos re) in re 4.897 * [taylor]: Taking taylor expansion of re in re 4.905 * [taylor]: Taking taylor expansion of (* 1/2 (cos re)) in re 4.905 * [taylor]: Taking taylor expansion of 1/2 in re 4.905 * [taylor]: Taking taylor expansion of (cos re) in re 4.905 * [taylor]: Taking taylor expansion of re in re 4.906 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in (im re) around 0 4.906 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 4.906 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 4.906 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.906 * [taylor]: Taking taylor expansion of re in re 4.906 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 4.906 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.906 * [taylor]: Taking taylor expansion of im in re 4.906 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 4.906 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 4.906 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.906 * [taylor]: Taking taylor expansion of re in im 4.906 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 4.906 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.907 * [taylor]: Taking taylor expansion of im in im 4.907 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 4.907 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 4.907 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.907 * [taylor]: Taking taylor expansion of re in im 4.907 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 4.907 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.907 * [taylor]: Taking taylor expansion of im in im 4.908 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 4.908 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 4.908 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.908 * [taylor]: Taking taylor expansion of re in re 4.909 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 4.909 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.909 * [taylor]: Taking taylor expansion of im in re 4.911 * [taylor]: Taking taylor expansion of 0 in re 4.914 * [taylor]: Taking taylor expansion of 0 in re 4.918 * [taylor]: Taking taylor expansion of 0 in re 4.918 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in (im re) around 0 4.918 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 4.918 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 4.918 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.918 * [taylor]: Taking taylor expansion of -1 in re 4.918 * [taylor]: Taking taylor expansion of re in re 4.919 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 4.919 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.919 * [taylor]: Taking taylor expansion of -1 in re 4.919 * [taylor]: Taking taylor expansion of im in re 4.919 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 4.919 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 4.919 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.919 * [taylor]: Taking taylor expansion of -1 in im 4.919 * [taylor]: Taking taylor expansion of re in im 4.919 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 4.919 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.919 * [taylor]: Taking taylor expansion of -1 in im 4.919 * [taylor]: Taking taylor expansion of im in im 4.920 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 4.920 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 4.920 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.920 * [taylor]: Taking taylor expansion of -1 in im 4.920 * [taylor]: Taking taylor expansion of re in im 4.920 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 4.920 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.920 * [taylor]: Taking taylor expansion of -1 in im 4.920 * [taylor]: Taking taylor expansion of im in im 4.921 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 4.921 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 4.921 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.921 * [taylor]: Taking taylor expansion of -1 in re 4.921 * [taylor]: Taking taylor expansion of re in re 4.921 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 4.921 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.921 * [taylor]: Taking taylor expansion of -1 in re 4.921 * [taylor]: Taking taylor expansion of im in re 4.924 * [taylor]: Taking taylor expansion of 0 in re 4.927 * [taylor]: Taking taylor expansion of 0 in re 4.931 * [taylor]: Taking taylor expansion of 0 in re 4.931 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 4.932 * [approximate]: Taking taylor expansion of (/ (exp im) (cos re)) in (im re) around 0 4.932 * [taylor]: Taking taylor expansion of (/ (exp im) (cos re)) in re 4.932 * [taylor]: Taking taylor expansion of (exp im) in re 4.932 * [taylor]: Taking taylor expansion of im in re 4.932 * [taylor]: Taking taylor expansion of (cos re) in re 4.932 * [taylor]: Taking taylor expansion of re in re 4.932 * [taylor]: Taking taylor expansion of (/ (exp im) (cos re)) in im 4.932 * [taylor]: Taking taylor expansion of (exp im) in im 4.932 * [taylor]: Taking taylor expansion of im in im 4.932 * [taylor]: Taking taylor expansion of (cos re) in im 4.932 * [taylor]: Taking taylor expansion of re in im 4.932 * [taylor]: Taking taylor expansion of (/ (exp im) (cos re)) in im 4.932 * [taylor]: Taking taylor expansion of (exp im) in im 4.932 * [taylor]: Taking taylor expansion of im in im 4.932 * [taylor]: Taking taylor expansion of (cos re) in im 4.932 * [taylor]: Taking taylor expansion of re in im 4.933 * [taylor]: Taking taylor expansion of (/ 1 (cos re)) in re 4.933 * [taylor]: Taking taylor expansion of (cos re) in re 4.933 * [taylor]: Taking taylor expansion of re in re 4.935 * [taylor]: Taking taylor expansion of (/ 1 (cos re)) in re 4.935 * [taylor]: Taking taylor expansion of (cos re) in re 4.935 * [taylor]: Taking taylor expansion of re in re 4.940 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (cos re))) in re 4.940 * [taylor]: Taking taylor expansion of 1/2 in re 4.940 * [taylor]: Taking taylor expansion of (/ 1 (cos re)) in re 4.940 * [taylor]: Taking taylor expansion of (cos re) in re 4.940 * [taylor]: Taking taylor expansion of re in re 4.940 * [approximate]: Taking taylor expansion of (/ (exp (/ 1 im)) (cos (/ 1 re))) in (im re) around 0 4.940 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 im)) (cos (/ 1 re))) in re 4.940 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 4.941 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.941 * [taylor]: Taking taylor expansion of im in re 4.941 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 4.941 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.941 * [taylor]: Taking taylor expansion of re in re 4.941 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 im)) (cos (/ 1 re))) in im 4.941 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 4.941 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.941 * [taylor]: Taking taylor expansion of im in im 4.941 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 4.941 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.941 * [taylor]: Taking taylor expansion of re in im 4.942 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 im)) (cos (/ 1 re))) in im 4.942 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 4.942 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.942 * [taylor]: Taking taylor expansion of im in im 4.942 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 4.942 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.942 * [taylor]: Taking taylor expansion of re in im 4.943 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 im)) (cos (/ 1 re))) in re 4.943 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 4.943 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.943 * [taylor]: Taking taylor expansion of im in re 4.943 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 4.943 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.943 * [taylor]: Taking taylor expansion of re in re 4.946 * [taylor]: Taking taylor expansion of 0 in re 4.949 * [taylor]: Taking taylor expansion of 0 in re 4.953 * [taylor]: Taking taylor expansion of 0 in re 4.953 * [approximate]: Taking taylor expansion of (/ (exp (/ -1 im)) (cos (/ -1 re))) in (im re) around 0 4.953 * [taylor]: Taking taylor expansion of (/ (exp (/ -1 im)) (cos (/ -1 re))) in re 4.953 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 4.953 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.953 * [taylor]: Taking taylor expansion of -1 in re 4.953 * [taylor]: Taking taylor expansion of im in re 4.953 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 4.953 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.953 * [taylor]: Taking taylor expansion of -1 in re 4.953 * [taylor]: Taking taylor expansion of re in re 4.954 * [taylor]: Taking taylor expansion of (/ (exp (/ -1 im)) (cos (/ -1 re))) in im 4.954 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 4.954 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.954 * [taylor]: Taking taylor expansion of -1 in im 4.954 * [taylor]: Taking taylor expansion of im in im 4.954 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 4.954 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.954 * [taylor]: Taking taylor expansion of -1 in im 4.954 * [taylor]: Taking taylor expansion of re in im 4.955 * [taylor]: Taking taylor expansion of (/ (exp (/ -1 im)) (cos (/ -1 re))) in im 4.955 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 4.955 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.955 * [taylor]: Taking taylor expansion of -1 in im 4.955 * [taylor]: Taking taylor expansion of im in im 4.955 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 4.955 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.955 * [taylor]: Taking taylor expansion of -1 in im 4.955 * [taylor]: Taking taylor expansion of re in im 4.956 * [taylor]: Taking taylor expansion of (/ (exp (/ -1 im)) (cos (/ -1 re))) in re 4.956 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 4.956 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.956 * [taylor]: Taking taylor expansion of -1 in re 4.956 * [taylor]: Taking taylor expansion of im in re 4.956 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 4.956 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.956 * [taylor]: Taking taylor expansion of -1 in re 4.956 * [taylor]: Taking taylor expansion of re in re 4.958 * [taylor]: Taking taylor expansion of 0 in re 4.962 * [taylor]: Taking taylor expansion of 0 in re 4.966 * [taylor]: Taking taylor expansion of 0 in re 4.966 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 4.966 * [approximate]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in (im re) around 0 4.966 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 4.966 * [taylor]: Taking taylor expansion of 0.5 in re 4.966 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 4.966 * [taylor]: Taking taylor expansion of (exp im) in re 4.966 * [taylor]: Taking taylor expansion of im in re 4.966 * [taylor]: Taking taylor expansion of (cos re) in re 4.966 * [taylor]: Taking taylor expansion of re in re 4.966 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in im 4.966 * [taylor]: Taking taylor expansion of 0.5 in im 4.966 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in im 4.966 * [taylor]: Taking taylor expansion of (exp im) in im 4.966 * [taylor]: Taking taylor expansion of im in im 4.967 * [taylor]: Taking taylor expansion of (cos re) in im 4.967 * [taylor]: Taking taylor expansion of re in im 4.967 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in im 4.967 * [taylor]: Taking taylor expansion of 0.5 in im 4.967 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in im 4.967 * [taylor]: Taking taylor expansion of (exp im) in im 4.967 * [taylor]: Taking taylor expansion of im in im 4.967 * [taylor]: Taking taylor expansion of (cos re) in im 4.967 * [taylor]: Taking taylor expansion of re in im 4.967 * [taylor]: Taking taylor expansion of (* 0.5 (cos re)) in re 4.967 * [taylor]: Taking taylor expansion of 0.5 in re 4.967 * [taylor]: Taking taylor expansion of (cos re) in re 4.967 * [taylor]: Taking taylor expansion of re in re 4.970 * [taylor]: Taking taylor expansion of (* 0.5 (cos re)) in re 4.970 * [taylor]: Taking taylor expansion of 0.5 in re 4.970 * [taylor]: Taking taylor expansion of (cos re) in re 4.970 * [taylor]: Taking taylor expansion of re in re 4.975 * [taylor]: Taking taylor expansion of (* 0.25 (cos re)) in re 4.975 * [taylor]: Taking taylor expansion of 0.25 in re 4.975 * [taylor]: Taking taylor expansion of (cos re) in re 4.975 * [taylor]: Taking taylor expansion of re in re 4.975 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in (im re) around 0 4.975 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 4.975 * [taylor]: Taking taylor expansion of 0.5 in re 4.976 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 4.976 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 4.976 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.976 * [taylor]: Taking taylor expansion of re in re 4.976 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 4.976 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.976 * [taylor]: Taking taylor expansion of im in re 4.976 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 4.976 * [taylor]: Taking taylor expansion of 0.5 in im 4.976 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 4.976 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 4.976 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.976 * [taylor]: Taking taylor expansion of re in im 4.976 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 4.976 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.976 * [taylor]: Taking taylor expansion of im in im 4.977 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 4.977 * [taylor]: Taking taylor expansion of 0.5 in im 4.977 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 4.977 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 4.977 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.977 * [taylor]: Taking taylor expansion of re in im 4.977 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 4.977 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.977 * [taylor]: Taking taylor expansion of im in im 4.978 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 4.978 * [taylor]: Taking taylor expansion of 0.5 in re 4.978 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 4.978 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 4.978 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.978 * [taylor]: Taking taylor expansion of re in re 4.978 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 4.978 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.978 * [taylor]: Taking taylor expansion of im in re 4.981 * [taylor]: Taking taylor expansion of 0 in re 4.985 * [taylor]: Taking taylor expansion of 0 in re 4.991 * [taylor]: Taking taylor expansion of 0 in re 4.991 * [approximate]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in (im re) around 0 4.991 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 4.991 * [taylor]: Taking taylor expansion of 0.5 in re 4.991 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 4.991 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 4.991 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.991 * [taylor]: Taking taylor expansion of -1 in re 4.991 * [taylor]: Taking taylor expansion of im in re 4.991 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 4.991 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.991 * [taylor]: Taking taylor expansion of -1 in re 4.991 * [taylor]: Taking taylor expansion of re in re 4.996 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 4.996 * [taylor]: Taking taylor expansion of 0.5 in im 4.996 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 4.996 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 4.996 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.996 * [taylor]: Taking taylor expansion of -1 in im 4.996 * [taylor]: Taking taylor expansion of im in im 4.997 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 4.997 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.997 * [taylor]: Taking taylor expansion of -1 in im 4.997 * [taylor]: Taking taylor expansion of re in im 4.997 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 4.997 * [taylor]: Taking taylor expansion of 0.5 in im 4.997 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 4.997 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 4.997 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.997 * [taylor]: Taking taylor expansion of -1 in im 4.997 * [taylor]: Taking taylor expansion of im in im 4.997 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 4.997 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.997 * [taylor]: Taking taylor expansion of -1 in im 4.997 * [taylor]: Taking taylor expansion of re in im 4.998 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 4.998 * [taylor]: Taking taylor expansion of 0.5 in re 4.998 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 4.998 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 4.998 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.998 * [taylor]: Taking taylor expansion of -1 in re 4.998 * [taylor]: Taking taylor expansion of im in re 4.998 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 4.998 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.998 * [taylor]: Taking taylor expansion of -1 in re 4.998 * [taylor]: Taking taylor expansion of re in re 5.001 * [taylor]: Taking taylor expansion of 0 in re 5.005 * [taylor]: Taking taylor expansion of 0 in re 5.011 * [taylor]: Taking taylor expansion of 0 in re 5.012 * * * * [progress]: [ 4 / 4 ] generating series at (2) 5.012 * [approximate]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in (im re) around 0 5.012 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in re 5.012 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 5.012 * [taylor]: Taking taylor expansion of 0.5 in re 5.012 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 5.012 * [taylor]: Taking taylor expansion of (exp im) in re 5.012 * [taylor]: Taking taylor expansion of im in re 5.012 * [taylor]: Taking taylor expansion of (cos re) in re 5.012 * [taylor]: Taking taylor expansion of re in re 5.012 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 5.012 * [taylor]: Taking taylor expansion of 0.5 in re 5.012 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 5.012 * [taylor]: Taking taylor expansion of (cos re) in re 5.012 * [taylor]: Taking taylor expansion of re in re 5.012 * [taylor]: Taking taylor expansion of (exp im) in re 5.012 * [taylor]: Taking taylor expansion of im in re 5.012 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in im 5.012 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in im 5.012 * [taylor]: Taking taylor expansion of 0.5 in im 5.012 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in im 5.012 * [taylor]: Taking taylor expansion of (exp im) in im 5.012 * [taylor]: Taking taylor expansion of im in im 5.012 * [taylor]: Taking taylor expansion of (cos re) in im 5.012 * [taylor]: Taking taylor expansion of re in im 5.012 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in im 5.012 * [taylor]: Taking taylor expansion of 0.5 in im 5.012 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in im 5.012 * [taylor]: Taking taylor expansion of (cos re) in im 5.012 * [taylor]: Taking taylor expansion of re in im 5.012 * [taylor]: Taking taylor expansion of (exp im) in im 5.012 * [taylor]: Taking taylor expansion of im in im 5.013 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in im 5.013 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in im 5.013 * [taylor]: Taking taylor expansion of 0.5 in im 5.013 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in im 5.013 * [taylor]: Taking taylor expansion of (exp im) in im 5.013 * [taylor]: Taking taylor expansion of im in im 5.013 * [taylor]: Taking taylor expansion of (cos re) in im 5.013 * [taylor]: Taking taylor expansion of re in im 5.013 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in im 5.013 * [taylor]: Taking taylor expansion of 0.5 in im 5.013 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in im 5.013 * [taylor]: Taking taylor expansion of (cos re) in im 5.013 * [taylor]: Taking taylor expansion of re in im 5.013 * [taylor]: Taking taylor expansion of (exp im) in im 5.013 * [taylor]: Taking taylor expansion of im in im 5.014 * [taylor]: Taking taylor expansion of (* 1.0 (cos re)) in re 5.014 * [taylor]: Taking taylor expansion of 1.0 in re 5.014 * [taylor]: Taking taylor expansion of (cos re) in re 5.014 * [taylor]: Taking taylor expansion of re in re 5.020 * [taylor]: Taking taylor expansion of 0 in re 5.028 * [taylor]: Taking taylor expansion of (* 0.5 (cos re)) in re 5.028 * [taylor]: Taking taylor expansion of 0.5 in re 5.028 * [taylor]: Taking taylor expansion of (cos re) in re 5.028 * [taylor]: Taking taylor expansion of re in re 5.031 * [approximate]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in (im re) around 0 5.031 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in re 5.031 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 5.031 * [taylor]: Taking taylor expansion of 0.5 in re 5.031 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 5.031 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 5.031 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.031 * [taylor]: Taking taylor expansion of re in re 5.032 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 5.032 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.032 * [taylor]: Taking taylor expansion of im in re 5.032 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 5.032 * [taylor]: Taking taylor expansion of 0.5 in re 5.032 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 5.032 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 5.032 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.032 * [taylor]: Taking taylor expansion of re in re 5.032 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 5.032 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.032 * [taylor]: Taking taylor expansion of im in re 5.032 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in im 5.033 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 5.033 * [taylor]: Taking taylor expansion of 0.5 in im 5.033 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 5.033 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 5.033 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.033 * [taylor]: Taking taylor expansion of re in im 5.033 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 5.033 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.033 * [taylor]: Taking taylor expansion of im in im 5.033 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 5.033 * [taylor]: Taking taylor expansion of 0.5 in im 5.033 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 5.033 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 5.033 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.033 * [taylor]: Taking taylor expansion of re in im 5.033 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 5.033 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.033 * [taylor]: Taking taylor expansion of im in im 5.034 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in im 5.034 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 5.034 * [taylor]: Taking taylor expansion of 0.5 in im 5.034 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 5.034 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 5.034 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.034 * [taylor]: Taking taylor expansion of re in im 5.034 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 5.034 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.034 * [taylor]: Taking taylor expansion of im in im 5.035 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 5.035 * [taylor]: Taking taylor expansion of 0.5 in im 5.035 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 5.035 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 5.035 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.035 * [taylor]: Taking taylor expansion of re in im 5.035 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 5.035 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.035 * [taylor]: Taking taylor expansion of im in im 5.036 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in re 5.036 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 5.036 * [taylor]: Taking taylor expansion of 0.5 in re 5.036 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 5.036 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 5.036 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.036 * [taylor]: Taking taylor expansion of re in re 5.037 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 5.037 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.037 * [taylor]: Taking taylor expansion of im in re 5.037 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 5.037 * [taylor]: Taking taylor expansion of 0.5 in re 5.037 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 5.037 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 5.037 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.037 * [taylor]: Taking taylor expansion of re in re 5.037 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 5.037 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.037 * [taylor]: Taking taylor expansion of im in re 5.043 * [taylor]: Taking taylor expansion of 0 in re 5.051 * [taylor]: Taking taylor expansion of 0 in re 5.063 * [taylor]: Taking taylor expansion of 0 in re 5.064 * [approximate]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in (im re) around 0 5.064 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in re 5.064 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 5.064 * [taylor]: Taking taylor expansion of 0.5 in re 5.064 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 5.064 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 5.064 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.064 * [taylor]: Taking taylor expansion of -1 in re 5.064 * [taylor]: Taking taylor expansion of re in re 5.064 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 5.064 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.064 * [taylor]: Taking taylor expansion of -1 in re 5.064 * [taylor]: Taking taylor expansion of im in re 5.065 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 5.065 * [taylor]: Taking taylor expansion of 0.5 in re 5.065 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 5.065 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 5.065 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.065 * [taylor]: Taking taylor expansion of -1 in re 5.065 * [taylor]: Taking taylor expansion of im in re 5.065 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 5.065 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.065 * [taylor]: Taking taylor expansion of -1 in re 5.065 * [taylor]: Taking taylor expansion of re in re 5.065 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in im 5.065 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 5.065 * [taylor]: Taking taylor expansion of 0.5 in im 5.065 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 5.065 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 5.065 * [taylor]: Taking taylor expansion of (/ -1 re) in im 5.065 * [taylor]: Taking taylor expansion of -1 in im 5.065 * [taylor]: Taking taylor expansion of re in im 5.065 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 5.065 * [taylor]: Taking taylor expansion of (/ -1 im) in im 5.065 * [taylor]: Taking taylor expansion of -1 in im 5.065 * [taylor]: Taking taylor expansion of im in im 5.066 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 5.066 * [taylor]: Taking taylor expansion of 0.5 in im 5.066 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 5.066 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 5.066 * [taylor]: Taking taylor expansion of (/ -1 im) in im 5.066 * [taylor]: Taking taylor expansion of -1 in im 5.066 * [taylor]: Taking taylor expansion of im in im 5.067 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 5.067 * [taylor]: Taking taylor expansion of (/ -1 re) in im 5.067 * [taylor]: Taking taylor expansion of -1 in im 5.067 * [taylor]: Taking taylor expansion of re in im 5.067 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in im 5.067 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 5.067 * [taylor]: Taking taylor expansion of 0.5 in im 5.067 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 5.067 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 5.067 * [taylor]: Taking taylor expansion of (/ -1 re) in im 5.067 * [taylor]: Taking taylor expansion of -1 in im 5.067 * [taylor]: Taking taylor expansion of re in im 5.067 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 5.067 * [taylor]: Taking taylor expansion of (/ -1 im) in im 5.067 * [taylor]: Taking taylor expansion of -1 in im 5.067 * [taylor]: Taking taylor expansion of im in im 5.068 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 5.068 * [taylor]: Taking taylor expansion of 0.5 in im 5.068 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 5.068 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 5.068 * [taylor]: Taking taylor expansion of (/ -1 im) in im 5.068 * [taylor]: Taking taylor expansion of -1 in im 5.068 * [taylor]: Taking taylor expansion of im in im 5.068 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 5.068 * [taylor]: Taking taylor expansion of (/ -1 re) in im 5.068 * [taylor]: Taking taylor expansion of -1 in im 5.068 * [taylor]: Taking taylor expansion of re in im 5.069 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in re 5.069 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 5.069 * [taylor]: Taking taylor expansion of 0.5 in re 5.069 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 5.069 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 5.069 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.069 * [taylor]: Taking taylor expansion of -1 in re 5.069 * [taylor]: Taking taylor expansion of re in re 5.070 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 5.070 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.070 * [taylor]: Taking taylor expansion of -1 in re 5.070 * [taylor]: Taking taylor expansion of im in re 5.070 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 5.070 * [taylor]: Taking taylor expansion of 0.5 in re 5.070 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 5.070 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 5.070 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.070 * [taylor]: Taking taylor expansion of -1 in re 5.070 * [taylor]: Taking taylor expansion of im in re 5.070 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 5.070 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.070 * [taylor]: Taking taylor expansion of -1 in re 5.070 * [taylor]: Taking taylor expansion of re in re 5.076 * [taylor]: Taking taylor expansion of 0 in re 5.089 * [taylor]: Taking taylor expansion of 0 in re 5.101 * [taylor]: Taking taylor expansion of 0 in re 5.101 * * * [progress]: simplifying candidates 5.104 * [simplify]: Simplifying using # : (expm1 (/ 1 (/ (exp im) (cos re)))) (log1p (/ 1 (/ (exp im) (cos re)))) (- 1) (- (- im (log (cos re)))) (- (log (/ (exp im) (cos re)))) (- 0 (- im (log (cos re)))) (- 0 (log (/ (exp im) (cos re)))) (- (log 1) (- im (log (cos re)))) (- (log 1) (log (/ (exp im) (cos re)))) (log (/ 1 (/ (exp im) (cos re)))) (exp (/ 1 (/ (exp im) (cos re)))) (/ (* (* 1 1) 1) (/ (* (* (exp im) (exp im)) (exp im)) (* (* (cos re) (cos re)) (cos re)))) (/ (* (* 1 1) 1) (* (* (/ (exp im) (cos re)) (/ (exp im) (cos re))) (/ (exp im) (cos re)))) (* (cbrt (/ 1 (/ (exp im) (cos re)))) (cbrt (/ 1 (/ (exp im) (cos re))))) (cbrt (/ 1 (/ (exp im) (cos re)))) (* (* (/ 1 (/ (exp im) (cos re))) (/ 1 (/ (exp im) (cos re)))) (/ 1 (/ (exp im) (cos re)))) (sqrt (/ 1 (/ (exp im) (cos re)))) (sqrt (/ 1 (/ (exp im) (cos re)))) (- 1) (- (/ (exp im) (cos re))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (exp im) (cos re))) (cbrt (/ (exp im) (cos re))))) (/ (cbrt 1) (cbrt (/ (exp im) (cos re)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (exp im) (cos re)))) (/ (cbrt 1) (sqrt (/ (exp im) (cos re)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (exp im)) (cbrt (exp im))) (* (cbrt (cos re)) (cbrt (cos re))))) (/ (cbrt 1) (/ (cbrt (exp im)) (cbrt (cos re)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (exp im)) (cbrt (exp im))) (sqrt (cos re)))) (/ (cbrt 1) (/ (cbrt (exp im)) (sqrt (cos re)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (exp im)) (cbrt (exp im))) 1)) (/ (cbrt 1) (/ (cbrt (exp im)) (cos re))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (exp im)) (* (cbrt (cos re)) (cbrt (cos re))))) (/ (cbrt 1) (/ (sqrt (exp im)) (cbrt (cos re)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (exp im)) (sqrt (cos re)))) (/ (cbrt 1) (/ (sqrt (exp im)) (sqrt (cos re)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (exp im)) 1)) (/ (cbrt 1) (/ (sqrt (exp im)) (cos re))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (cos re)) (cbrt (cos re))))) (/ (cbrt 1) (/ (exp im) (cbrt (cos re)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (cos re)))) (/ (cbrt 1) (/ (exp im) (sqrt (cos re)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (exp im) (cos re))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (exp im) (cos re))) (/ (* (cbrt 1) (cbrt 1)) (exp im)) (/ (cbrt 1) (/ 1 (cos re))) (/ (sqrt 1) (* (cbrt (/ (exp im) (cos re))) (cbrt (/ (exp im) (cos re))))) (/ (sqrt 1) (cbrt (/ (exp im) (cos re)))) (/ (sqrt 1) (sqrt (/ (exp im) (cos re)))) (/ (sqrt 1) (sqrt (/ (exp im) (cos re)))) (/ (sqrt 1) (/ (* (cbrt (exp im)) (cbrt (exp im))) (* (cbrt (cos re)) (cbrt (cos re))))) (/ (sqrt 1) (/ (cbrt (exp im)) (cbrt (cos re)))) (/ (sqrt 1) (/ (* (cbrt (exp im)) (cbrt (exp im))) (sqrt (cos re)))) (/ (sqrt 1) (/ (cbrt (exp im)) (sqrt (cos re)))) (/ (sqrt 1) (/ (* (cbrt (exp im)) (cbrt (exp im))) 1)) (/ (sqrt 1) (/ (cbrt (exp im)) (cos re))) (/ (sqrt 1) (/ (sqrt (exp im)) (* (cbrt (cos re)) (cbrt (cos re))))) (/ (sqrt 1) (/ (sqrt (exp im)) (cbrt (cos re)))) (/ (sqrt 1) (/ (sqrt (exp im)) (sqrt (cos re)))) (/ (sqrt 1) (/ (sqrt (exp im)) (sqrt (cos re)))) (/ (sqrt 1) (/ (sqrt (exp im)) 1)) (/ (sqrt 1) (/ (sqrt (exp im)) (cos re))) (/ (sqrt 1) (/ 1 (* (cbrt (cos re)) (cbrt (cos re))))) (/ (sqrt 1) (/ (exp im) (cbrt (cos re)))) (/ (sqrt 1) (/ 1 (sqrt (cos re)))) (/ (sqrt 1) (/ (exp im) (sqrt (cos re)))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (exp im) (cos re))) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (exp im) (cos re))) (/ (sqrt 1) (exp im)) (/ (sqrt 1) (/ 1 (cos re))) (/ 1 (* (cbrt (/ (exp im) (cos re))) (cbrt (/ (exp im) (cos re))))) (/ 1 (cbrt (/ (exp im) (cos re)))) (/ 1 (sqrt (/ (exp im) (cos re)))) (/ 1 (sqrt (/ (exp im) (cos re)))) (/ 1 (/ (* (cbrt (exp im)) (cbrt (exp im))) (* (cbrt (cos re)) (cbrt (cos re))))) (/ 1 (/ (cbrt (exp im)) (cbrt (cos re)))) (/ 1 (/ (* (cbrt (exp im)) (cbrt (exp im))) (sqrt (cos re)))) (/ 1 (/ (cbrt (exp im)) (sqrt (cos re)))) (/ 1 (/ (* (cbrt (exp im)) (cbrt (exp im))) 1)) (/ 1 (/ (cbrt (exp im)) (cos re))) (/ 1 (/ (sqrt (exp im)) (* (cbrt (cos re)) (cbrt (cos re))))) (/ 1 (/ (sqrt (exp im)) (cbrt (cos re)))) (/ 1 (/ (sqrt (exp im)) (sqrt (cos re)))) (/ 1 (/ (sqrt (exp im)) (sqrt (cos re)))) (/ 1 (/ (sqrt (exp im)) 1)) (/ 1 (/ (sqrt (exp im)) (cos re))) (/ 1 (/ 1 (* (cbrt (cos re)) (cbrt (cos re))))) (/ 1 (/ (exp im) (cbrt (cos re)))) (/ 1 (/ 1 (sqrt (cos re)))) (/ 1 (/ (exp im) (sqrt (cos re)))) (/ 1 (/ 1 1)) (/ 1 (/ (exp im) (cos re))) (/ 1 1) (/ 1 (/ (exp im) (cos re))) (/ 1 (exp im)) (/ 1 (/ 1 (cos re))) (/ 1 (/ (exp im) (cos re))) (/ (/ (exp im) (cos re)) 1) (/ 1 (* (cbrt (/ (exp im) (cos re))) (cbrt (/ (exp im) (cos re))))) (/ 1 (sqrt (/ (exp im) (cos re)))) (/ 1 (/ (* (cbrt (exp im)) (cbrt (exp im))) (* (cbrt (cos re)) (cbrt (cos re))))) (/ 1 (/ (* (cbrt (exp im)) (cbrt (exp im))) (sqrt (cos re)))) (/ 1 (/ (* (cbrt (exp im)) (cbrt (exp im))) 1)) (/ 1 (/ (sqrt (exp im)) (* (cbrt (cos re)) (cbrt (cos re))))) (/ 1 (/ (sqrt (exp im)) (sqrt (cos re)))) (/ 1 (/ (sqrt (exp im)) 1)) (/ 1 (/ 1 (* (cbrt (cos re)) (cbrt (cos re))))) (/ 1 (/ 1 (sqrt (cos re)))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (exp im)) (/ (/ (exp im) (cos re)) (cbrt 1)) (/ (/ (exp im) (cos re)) (sqrt 1)) (/ (/ (exp im) (cos re)) 1) (/ 1 (exp im)) (expm1 (/ (exp im) (cos re))) (log1p (/ (exp im) (cos re))) (- im (log (cos re))) (log (/ (exp im) (cos re))) (exp (/ (exp im) (cos re))) (/ (* (* (exp im) (exp im)) (exp im)) (* (* (cos re) (cos re)) (cos re))) (* (cbrt (/ (exp im) (cos re))) (cbrt (/ (exp im) (cos re)))) (cbrt (/ (exp im) (cos re))) (* (* (/ (exp im) (cos re)) (/ (exp im) (cos re))) (/ (exp im) (cos re))) (sqrt (/ (exp im) (cos re))) (sqrt (/ (exp im) (cos re))) (- (exp im)) (- (cos re)) (/ (* (cbrt (exp im)) (cbrt (exp im))) (* (cbrt (cos re)) (cbrt (cos re)))) (/ (cbrt (exp im)) (cbrt (cos re))) (/ (* (cbrt (exp im)) (cbrt (exp im))) (sqrt (cos re))) (/ (cbrt (exp im)) (sqrt (cos re))) (/ (* (cbrt (exp im)) (cbrt (exp im))) 1) (/ (cbrt (exp im)) (cos re)) (/ (sqrt (exp im)) (* (cbrt (cos re)) (cbrt (cos re)))) (/ (sqrt (exp im)) (cbrt (cos re))) (/ (sqrt (exp im)) (sqrt (cos re))) (/ (sqrt (exp im)) (sqrt (cos re))) (/ (sqrt (exp im)) 1) (/ (sqrt (exp im)) (cos re)) (/ 1 (* (cbrt (cos re)) (cbrt (cos re)))) (/ (exp im) (cbrt (cos re))) (/ 1 (sqrt (cos re))) (/ (exp im) (sqrt (cos re))) (/ 1 1) (/ (exp im) (cos re)) (/ 1 (cos re)) (/ (cos re) (exp im)) (/ (exp im) (* (cbrt (cos re)) (cbrt (cos re)))) (/ (exp im) (sqrt (cos re))) (/ (exp im) 1) (/ (cos re) (cbrt (exp im))) (/ (cos re) (sqrt (exp im))) (/ (cos re) (exp im)) (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 (+ (* 0.5 (/ 1 (/ (exp im) (cos re)))) (* (exp im) (* 0.5 (cos re))))) (log1p (+ (* 0.5 (/ 1 (/ (exp im) (cos re)))) (* (exp im) (* 0.5 (cos re))))) (* (exp (* 0.5 (/ 1 (/ (exp im) (cos re))))) (exp (* (exp im) (* 0.5 (cos re))))) (log (+ (* 0.5 (/ 1 (/ (exp im) (cos re)))) (* (exp im) (* 0.5 (cos re))))) (exp (+ (* 0.5 (/ 1 (/ (exp im) (cos re)))) (* (exp im) (* 0.5 (cos re))))) (* (cbrt (+ (* 0.5 (/ 1 (/ (exp im) (cos re)))) (* (exp im) (* 0.5 (cos re))))) (cbrt (+ (* 0.5 (/ 1 (/ (exp im) (cos re)))) (* (exp im) (* 0.5 (cos re)))))) (cbrt (+ (* 0.5 (/ 1 (/ (exp im) (cos re)))) (* (exp im) (* 0.5 (cos re))))) (* (* (+ (* 0.5 (/ 1 (/ (exp im) (cos re)))) (* (exp im) (* 0.5 (cos re)))) (+ (* 0.5 (/ 1 (/ (exp im) (cos re)))) (* (exp im) (* 0.5 (cos re))))) (+ (* 0.5 (/ 1 (/ (exp im) (cos re)))) (* (exp im) (* 0.5 (cos re))))) (sqrt (+ (* 0.5 (/ 1 (/ (exp im) (cos re)))) (* (exp im) (* 0.5 (cos re))))) (sqrt (+ (* 0.5 (/ 1 (/ (exp im) (cos re)))) (* (exp im) (* 0.5 (cos re))))) (+ (pow (* 0.5 (/ 1 (/ (exp im) (cos re)))) 3) (pow (* (exp im) (* 0.5 (cos re))) 3)) (+ (* (* 0.5 (/ 1 (/ (exp im) (cos re)))) (* 0.5 (/ 1 (/ (exp im) (cos re))))) (- (* (* (exp im) (* 0.5 (cos re))) (* (exp im) (* 0.5 (cos re)))) (* (* 0.5 (/ 1 (/ (exp im) (cos re)))) (* (exp im) (* 0.5 (cos re)))))) (- (* (* 0.5 (/ 1 (/ (exp im) (cos re)))) (* 0.5 (/ 1 (/ (exp im) (cos re))))) (* (* (exp im) (* 0.5 (cos re))) (* (exp im) (* 0.5 (cos re))))) (- (* 0.5 (/ 1 (/ (exp im) (cos re)))) (* (exp im) (* 0.5 (cos re)))) (- (+ (* 1/2 (pow im 2)) 1) im) (/ (cos re) (exp im)) (/ (cos re) (exp im)) (+ im (+ (* 1/2 (pow im 2)) 1)) (/ (exp im) (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)))) 5.110 * * [simplify]: iteration 0 : 223 enodes (cost 2076 ) 5.154 * * [simplify]: iteration 1 : 559 enodes (cost 1820 ) 5.316 * * [simplify]: iteration 2 : 2294 enodes (cost 1524 ) 6.395 * * [simplify]: iteration done : 5000 enodes (cost 1516 ) 6.396 * [simplify]: Simplified to: (expm1 (/ (cos re) (exp im))) (log1p (/ (cos re) (exp im))) -1 (- (log (cos re)) im) (- (log (cos re)) im) (- (log (cos re)) im) (- (log (cos re)) im) (- (log (cos re)) im) (- (log (cos re)) im) (- (log (cos re)) im) (exp (/ (cos re) (exp im))) (pow (/ (cos re) (exp im)) 3) (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))) -1 (- (/ (exp im) (cos re))) (/ 1 (* (cbrt (/ (exp im) (cos re))) (cbrt (/ (exp im) (cos re))))) (/ 1 (cbrt (/ (exp im) (cos re)))) (/ 1 (sqrt (/ (exp im) (cos re)))) (/ 1 (sqrt (/ (exp im) (cos re)))) (/ (* (cbrt (cos re)) (cbrt (cos re))) (* (cbrt (exp im)) (cbrt (exp im)))) (/ 1 (/ (cbrt (exp im)) (cbrt (cos re)))) (/ (sqrt (cos re)) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (sqrt (cos re)) (cbrt (exp im))) (/ 1 (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cos re) (cbrt (exp im))) (/ (* (cbrt (cos re)) (cbrt (cos re))) (sqrt (exp im))) (/ 1 (/ (sqrt (exp im)) (cbrt (cos re)))) (/ (sqrt (cos re)) (sqrt (exp im))) (/ (sqrt (cos re)) (sqrt (exp im))) (/ 1 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))) (* (cbrt (cos re)) (cbrt (cos re))) (* (exp (- im)) (cbrt (cos re))) (sqrt (cos re)) (/ (sqrt (cos re)) (exp im)) 1 (/ (cos re) (exp im)) 1 (/ (cos re) (exp im)) (exp (- im)) (cos re) (/ 1 (* (cbrt (/ (exp im) (cos re))) (cbrt (/ (exp im) (cos re))))) (/ 1 (cbrt (/ (exp im) (cos 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(exp im)))) (/ 1 (/ (cbrt (exp im)) (cbrt (cos re)))) (/ (sqrt (cos re)) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (sqrt (cos re)) (cbrt (exp im))) (/ 1 (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cos re) (cbrt (exp im))) (/ (* (cbrt (cos re)) (cbrt (cos re))) (sqrt (exp im))) (/ 1 (/ (sqrt (exp im)) (cbrt (cos re)))) (/ (sqrt (cos re)) (sqrt (exp im))) (/ (sqrt (cos re)) (sqrt (exp im))) (/ 1 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))) (* (cbrt (cos re)) (cbrt (cos re))) (* (exp (- im)) (cbrt (cos re))) (sqrt (cos re)) (/ (sqrt (cos re)) (exp im)) 1 (/ (cos re) (exp im)) 1 (/ (cos re) (exp im)) (exp (- im)) (cos re) (/ (cos re) (exp im)) (/ (exp im) (cos re)) (/ 1 (* (cbrt (/ (exp im) (cos re))) (cbrt (/ (exp im) (cos re))))) (/ 1 (sqrt (/ (exp im) (cos re)))) (/ (* (cbrt (cos re)) (cbrt (cos re))) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (sqrt (cos re)) (* (cbrt (exp im)) (cbrt (exp im)))) (/ 1 (* (cbrt (exp im)) (cbrt (exp im)))) (/ (* (cbrt (cos re)) (cbrt (cos re))) (sqrt (exp im))) 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im)) (* 0.5 (cos re))) (* (sqrt (exp im)) (* 0.5 (cos re))) (* (exp im) (* 0.5 (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)) (fma 0.5 (/ 0.5 (/ (/ (exp (+ im im)) (cos re)) (cos re))) (* (* 0.5 (- (* (exp im) (cos re)) (/ (cos re) (exp im)))) (* (exp im) (* 0.5 (cos re))))) (* (* 0.5 (- (/ (cos re) (exp im)) (* (exp im) (cos re)))) (* (fma (cos re) (exp im) (/ (cos re) (exp im))) 0.5)) (* 0.5 (- (/ (cos re) (exp im)) (* (exp im) (cos re)))) (- (fma 1/2 (pow im 2) 1) im) (/ (cos re) (exp im)) (/ (cos re) (exp im)) (+ (fma 1/2 (pow im 2) 1) im) (/ (exp im) (cos re)) (/ (exp im) (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))) (* (fma (cos re) (exp im) (/ (cos re) (exp im))) 0.5) (* (fma (cos re) (exp im) (/ (cos re) (exp im))) 0.5) 6.396 * * * [progress]: adding candidates to table 6.702 * [progress]: [Phase 3 of 3] Extracting. 6.703 * * [regime]: Finding splitpoints for: (# #) 6.703 * * * [regime-changes]: Trying 6 branch expressions: ((+ (exp (- im)) (exp im)) (cos re) (* 0.5 (cos re)) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) im re) 6.703 * * * * [regimes]: Trying to branch on (+ (exp (- im)) (exp im)) from (# #) 6.721 * * * * [regimes]: Trying to branch on (cos re) from (# #) 6.736 * * * * [regimes]: Trying to branch on (* 0.5 (cos re)) from (# #) 6.751 * * * * [regimes]: Trying to branch on (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) from (# #) 6.774 * * * * [regimes]: Trying to branch on im from (# #) 6.786 * * * * [regimes]: Trying to branch on re from (# #) 6.801 * * * [regime]: Found split indices: #