23.419 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.084 * * * [progress]: [2/2] Setting up program. 0.086 * [progress]: [Phase 2 of 3] Improving. 0.087 * [simplify]: Simplifying using # : (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 0.088 * * [simplify]: iteration 0 : 10 enodes (cost 11 ) 0.089 * * [simplify]: iteration 1 : 23 enodes (cost 11 ) 0.092 * * [simplify]: iteration 2 : 56 enodes (cost 11 ) 0.100 * * [simplify]: iteration 3 : 84 enodes (cost 11 ) 0.122 * * [simplify]: iteration 4 : 189 enodes (cost 11 ) 0.177 * * [simplify]: iteration 5 : 274 enodes (cost 11 ) 0.269 * * [simplify]: iteration 6 : 382 enodes (cost 11 ) 0.457 * * [simplify]: iteration 7 : 650 enodes (cost 11 ) 0.941 * * [simplify]: iteration 8 : 1306 enodes (cost 11 ) 1.986 * * [simplify]: iteration done : 5000 enodes (cost 11 ) 1.986 * [simplify]: Simplified to: (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 1.986 * * [progress]: iteration 1 / 4 1.986 * * * [progress]: picking best candidate 1.989 * * * * [pick]: Picked # 1.989 * * * [progress]: localizing error 1.999 * * * [progress]: generating rewritten candidates 2.000 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.028 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 2.038 * * * [progress]: generating series expansions 2.038 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.038 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in (re im) around 0 2.038 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in im 2.038 * [taylor]: Taking taylor expansion of 0.5 in im 2.038 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in im 2.038 * [taylor]: Taking taylor expansion of (cos re) in im 2.039 * [taylor]: Taking taylor expansion of re in im 2.039 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 2.039 * [taylor]: Taking taylor expansion of (exp im) in im 2.039 * [taylor]: Taking taylor expansion of im in im 2.039 * [taylor]: Taking taylor expansion of (exp (- im)) in im 2.039 * [taylor]: Taking taylor expansion of (- im) in im 2.039 * [taylor]: Taking taylor expansion of im in im 2.039 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 2.039 * [taylor]: Taking taylor expansion of 0.5 in re 2.039 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 2.039 * [taylor]: Taking taylor expansion of (cos re) in re 2.039 * [taylor]: Taking taylor expansion of re in re 2.039 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 2.039 * [taylor]: Taking taylor expansion of (exp im) in re 2.039 * [taylor]: Taking taylor expansion of im in re 2.040 * [taylor]: Taking taylor expansion of (exp (- im)) in re 2.040 * [taylor]: Taking taylor expansion of (- im) in re 2.040 * [taylor]: Taking taylor expansion of im in re 2.040 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 2.040 * [taylor]: Taking taylor expansion of 0.5 in re 2.040 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 2.040 * [taylor]: Taking taylor expansion of (cos re) in re 2.040 * [taylor]: Taking taylor expansion of re in re 2.040 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 2.040 * [taylor]: Taking taylor expansion of (exp im) in re 2.040 * [taylor]: Taking taylor expansion of im in re 2.040 * [taylor]: Taking taylor expansion of (exp (- im)) in re 2.040 * [taylor]: Taking taylor expansion of (- im) in re 2.040 * [taylor]: Taking taylor expansion of im in re 2.040 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im 2.040 * [taylor]: Taking taylor expansion of 0.5 in im 2.040 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 2.040 * [taylor]: Taking taylor expansion of (exp im) in im 2.040 * [taylor]: Taking taylor expansion of im in im 2.040 * [taylor]: Taking taylor expansion of (exp (- im)) in im 2.040 * [taylor]: Taking taylor expansion of (- im) in im 2.040 * [taylor]: Taking taylor expansion of im in im 2.043 * [taylor]: Taking taylor expansion of 0 in im 2.049 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) in im 2.049 * [taylor]: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) in im 2.049 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 2.049 * [taylor]: Taking taylor expansion of 0.25 in im 2.049 * [taylor]: Taking taylor expansion of (exp im) in im 2.049 * [taylor]: Taking taylor expansion of im in im 2.049 * [taylor]: Taking taylor expansion of (* 0.25 (exp (- im))) in im 2.049 * [taylor]: Taking taylor expansion of 0.25 in im 2.049 * [taylor]: Taking taylor expansion of (exp (- im)) in im 2.049 * [taylor]: Taking taylor expansion of (- im) in im 2.049 * [taylor]: Taking taylor expansion of im in im 2.056 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in (re im) around 0 2.056 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 2.056 * [taylor]: Taking taylor expansion of 0.5 in im 2.056 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 2.056 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 2.056 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.056 * [taylor]: Taking taylor expansion of re in im 2.056 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 2.056 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 2.056 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 2.056 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.056 * [taylor]: Taking taylor expansion of im in im 2.056 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 2.056 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.056 * [taylor]: Taking taylor expansion of im in im 2.057 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 2.057 * [taylor]: Taking taylor expansion of 0.5 in re 2.057 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 2.057 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 2.057 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.057 * [taylor]: Taking taylor expansion of re in re 2.057 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 2.057 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 2.057 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 2.057 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.057 * [taylor]: Taking taylor expansion of im in re 2.057 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 2.057 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.057 * [taylor]: Taking taylor expansion of im in re 2.057 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 2.057 * [taylor]: Taking taylor expansion of 0.5 in re 2.057 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 2.058 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 2.058 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.058 * [taylor]: Taking taylor expansion of re in re 2.058 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 2.058 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 2.058 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 2.058 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.058 * [taylor]: Taking taylor expansion of im in re 2.058 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 2.058 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.058 * [taylor]: Taking taylor expansion of im in re 2.058 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 2.059 * [taylor]: Taking taylor expansion of 0.5 in im 2.059 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 2.059 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 2.059 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.059 * [taylor]: Taking taylor expansion of re in im 2.059 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 2.059 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 2.059 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 2.059 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.059 * [taylor]: Taking taylor expansion of im in im 2.060 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 2.060 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.060 * [taylor]: Taking taylor expansion of im in im 2.066 * [taylor]: Taking taylor expansion of 0 in im 2.072 * [taylor]: Taking taylor expansion of 0 in im 2.080 * [taylor]: Taking taylor expansion of 0 in im 2.080 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in (re im) around 0 2.080 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 2.080 * [taylor]: Taking taylor expansion of 0.5 in im 2.080 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 2.080 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 2.080 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 2.080 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.080 * [taylor]: Taking taylor expansion of -1 in im 2.080 * [taylor]: Taking taylor expansion of im in im 2.081 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 2.081 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.081 * [taylor]: Taking taylor expansion of im in im 2.081 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 2.081 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.081 * [taylor]: Taking taylor expansion of -1 in im 2.081 * [taylor]: Taking taylor expansion of re in im 2.081 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 2.081 * [taylor]: Taking taylor expansion of 0.5 in re 2.081 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 2.081 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 2.081 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 2.081 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.081 * [taylor]: Taking taylor expansion of -1 in re 2.081 * [taylor]: Taking taylor expansion of im in re 2.081 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 2.081 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.081 * [taylor]: Taking taylor expansion of im in re 2.082 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 2.082 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.082 * [taylor]: Taking taylor expansion of -1 in re 2.082 * [taylor]: Taking taylor expansion of re in re 2.082 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 2.082 * [taylor]: Taking taylor expansion of 0.5 in re 2.082 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 2.082 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 2.082 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 2.082 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.082 * [taylor]: Taking taylor expansion of -1 in re 2.082 * [taylor]: Taking taylor expansion of im in re 2.082 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 2.082 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.082 * [taylor]: Taking taylor expansion of im in re 2.082 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 2.082 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.082 * [taylor]: Taking taylor expansion of -1 in re 2.082 * [taylor]: Taking taylor expansion of re in re 2.083 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 2.083 * [taylor]: Taking taylor expansion of 0.5 in im 2.083 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 2.083 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 2.083 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 2.083 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.083 * [taylor]: Taking taylor expansion of -1 in im 2.083 * [taylor]: Taking taylor expansion of im in im 2.083 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 2.083 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.083 * [taylor]: Taking taylor expansion of im in im 2.084 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 2.084 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.084 * [taylor]: Taking taylor expansion of -1 in im 2.084 * [taylor]: Taking taylor expansion of re in im 2.086 * [taylor]: Taking taylor expansion of 0 in im 2.092 * [taylor]: Taking taylor expansion of 0 in im 2.099 * [taylor]: Taking taylor expansion of 0 in im 2.099 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 2.099 * [approximate]: Taking taylor expansion of (+ (exp im) (exp (- im))) in (im) around 0 2.099 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 2.099 * [taylor]: Taking taylor expansion of (exp im) in im 2.099 * [taylor]: Taking taylor expansion of im in im 2.099 * [taylor]: Taking taylor expansion of (exp (- im)) in im 2.099 * [taylor]: Taking taylor expansion of (- im) in im 2.099 * [taylor]: Taking taylor expansion of im in im 2.100 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 2.100 * [taylor]: Taking taylor expansion of (exp im) in im 2.100 * [taylor]: Taking taylor expansion of im in im 2.100 * [taylor]: Taking taylor expansion of (exp (- im)) in im 2.100 * [taylor]: Taking taylor expansion of (- im) in im 2.100 * [taylor]: Taking taylor expansion of im in im 2.114 * [approximate]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in (im) around 0 2.114 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 2.114 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 2.114 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 2.114 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.114 * [taylor]: Taking taylor expansion of im in im 2.115 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 2.115 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.115 * [taylor]: Taking taylor expansion of im in im 2.115 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 2.115 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 2.115 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 2.115 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.115 * [taylor]: Taking taylor expansion of im in im 2.116 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 2.116 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.116 * [taylor]: Taking taylor expansion of im in im 2.118 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0 2.118 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 2.118 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 2.118 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.118 * [taylor]: Taking taylor expansion of -1 in im 2.118 * [taylor]: Taking taylor expansion of im in im 2.118 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 2.118 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.118 * [taylor]: Taking taylor expansion of im in im 2.119 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 2.119 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 2.119 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.119 * [taylor]: Taking taylor expansion of -1 in im 2.119 * [taylor]: Taking taylor expansion of im in im 2.119 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 2.119 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.119 * [taylor]: Taking taylor expansion of im in im 2.121 * * * [progress]: simplifying candidates 2.122 * [simplify]: Simplifying using # : (* (* 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)))) (* (exp (exp (- im))) (exp (exp im))) (log (+ (exp (- im)) (exp im))) (exp (+ (exp (- im)) (exp im))) (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im)))) (cbrt (+ (exp (- im)) (exp im))) (* (* (+ (exp (- im)) (exp im)) (+ (exp (- im)) (exp im))) (+ (exp (- im)) (exp im))) (sqrt (+ (exp (- im)) (exp im))) (sqrt (+ (exp (- im)) (exp im))) (+ (pow (exp (- im)) 3) (pow (exp im) 3)) (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (- (* (exp (- im)) (exp (- im))) (* (exp im) (exp im))) (- (exp (- im)) (exp im)) (+ (exp (- im)) (exp im)) (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2))) (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re))) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (exp im) (exp (- im))) (+ (exp (* -1 im)) (exp im)) 2.124 * * [simplify]: iteration 0 : 87 enodes (cost 548 ) 2.144 * * [simplify]: iteration 1 : 247 enodes (cost 530 ) 2.220 * * [simplify]: iteration 2 : 944 enodes (cost 441 ) 2.731 * * [simplify]: iteration done : 5000 enodes (cost 439 ) 2.731 * [simplify]: Simplified to: (* 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)) (* (cos re) (+ (exp im) (exp (- im)))) (* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (* (cos re) (* 0.5 (- (exp (* im -2)) (exp (+ im im))))) (exp (+ (exp (- im)) (exp im))) (log (+ (exp (- im)) (exp im))) (exp (+ (exp (- im)) (exp im))) (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im)))) (cbrt (+ (exp (- im)) (exp im))) (pow (+ (exp (- im)) (exp im)) 3) (sqrt (+ (exp (- im)) (exp im))) (sqrt (+ (exp (- im)) (exp im))) (+ (pow (exp (- im)) 3) (pow (exp im) 3)) (- (exp (+ im im)) (- 1 (exp (* im -2)))) (- (exp (* im -2)) (exp (+ im im))) (- (exp (- im)) (exp im)) (+ (exp (- im)) (exp im)) (+ (* 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))))) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (exp (- im)) (exp im)) (+ (exp (- im)) (exp im)) 2.731 * * * [progress]: adding candidates to table 2.823 * * [progress]: iteration 2 / 4 2.823 * * * [progress]: picking best candidate 2.834 * * * * [pick]: Picked # 2.835 * * * [progress]: localizing error 2.844 * * * [progress]: generating rewritten candidates 2.844 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 2.853 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 2.863 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 2.868 * * * [progress]: generating series expansions 2.868 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 2.868 * [approximate]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in (im re) around 0 2.868 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 2.868 * [taylor]: Taking taylor expansion of 0.5 in re 2.868 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 2.868 * [taylor]: Taking taylor expansion of (exp im) in re 2.868 * [taylor]: Taking taylor expansion of im in re 2.869 * [taylor]: Taking taylor expansion of (cos re) in re 2.869 * [taylor]: Taking taylor expansion of re in re 2.869 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in im 2.869 * [taylor]: Taking taylor expansion of 0.5 in im 2.869 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in im 2.869 * [taylor]: Taking taylor expansion of (exp im) in im 2.869 * [taylor]: Taking taylor expansion of im in im 2.869 * [taylor]: Taking taylor expansion of (cos re) in im 2.869 * [taylor]: Taking taylor expansion of re in im 2.869 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in im 2.869 * [taylor]: Taking taylor expansion of 0.5 in im 2.869 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in im 2.869 * [taylor]: Taking taylor expansion of (exp im) in im 2.869 * [taylor]: Taking taylor expansion of im in im 2.869 * [taylor]: Taking taylor expansion of (cos re) in im 2.869 * [taylor]: Taking taylor expansion of re in im 2.869 * [taylor]: Taking taylor expansion of (* 0.5 (cos re)) in re 2.869 * [taylor]: Taking taylor expansion of 0.5 in re 2.870 * [taylor]: Taking taylor expansion of (cos re) in re 2.870 * [taylor]: Taking taylor expansion of re in re 2.872 * [taylor]: Taking taylor expansion of (* 0.5 (cos re)) in re 2.872 * [taylor]: Taking taylor expansion of 0.5 in re 2.873 * [taylor]: Taking taylor expansion of (cos re) in re 2.873 * [taylor]: Taking taylor expansion of re in re 2.877 * [taylor]: Taking taylor expansion of (* 0.25 (cos re)) in re 2.877 * [taylor]: Taking taylor expansion of 0.25 in re 2.877 * [taylor]: Taking taylor expansion of (cos re) in re 2.877 * [taylor]: Taking taylor expansion of re in re 2.878 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in (im re) around 0 2.878 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 2.878 * [taylor]: Taking taylor expansion of 0.5 in re 2.878 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 2.878 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 2.878 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.878 * [taylor]: Taking taylor expansion of re in re 2.878 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 2.878 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.878 * [taylor]: Taking taylor expansion of im in re 2.878 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 2.879 * [taylor]: Taking taylor expansion of 0.5 in im 2.879 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 2.879 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 2.879 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.879 * [taylor]: Taking taylor expansion of re in im 2.879 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 2.879 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.879 * [taylor]: Taking taylor expansion of im in im 2.879 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 2.879 * [taylor]: Taking taylor expansion of 0.5 in im 2.879 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 2.879 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 2.879 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.879 * [taylor]: Taking taylor expansion of re in im 2.879 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 2.879 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.879 * [taylor]: Taking taylor expansion of im in im 2.880 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 2.880 * [taylor]: Taking taylor expansion of 0.5 in re 2.880 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 2.880 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 2.880 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.880 * [taylor]: Taking taylor expansion of re in re 2.881 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 2.881 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.881 * [taylor]: Taking taylor expansion of im in re 2.883 * [taylor]: Taking taylor expansion of 0 in re 2.887 * [taylor]: Taking taylor expansion of 0 in re 2.893 * [taylor]: Taking taylor expansion of 0 in re 2.894 * [approximate]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in (im re) around 0 2.894 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 2.894 * [taylor]: Taking taylor expansion of 0.5 in re 2.894 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 2.894 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 2.894 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.894 * [taylor]: Taking taylor expansion of -1 in re 2.894 * [taylor]: Taking taylor expansion of im in re 2.894 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 2.894 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.894 * [taylor]: Taking taylor expansion of -1 in re 2.894 * [taylor]: Taking taylor expansion of re in re 2.894 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 2.894 * [taylor]: Taking taylor expansion of 0.5 in im 2.894 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 2.894 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 2.894 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.894 * [taylor]: Taking taylor expansion of -1 in im 2.894 * [taylor]: Taking taylor expansion of im in im 2.895 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 2.895 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.895 * [taylor]: Taking taylor expansion of -1 in im 2.895 * [taylor]: Taking taylor expansion of re in im 2.895 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 2.895 * [taylor]: Taking taylor expansion of 0.5 in im 2.895 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 2.895 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 2.895 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.895 * [taylor]: Taking taylor expansion of -1 in im 2.895 * [taylor]: Taking taylor expansion of im in im 2.895 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 2.895 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.895 * [taylor]: Taking taylor expansion of -1 in im 2.895 * [taylor]: Taking taylor expansion of re in im 2.896 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 2.896 * [taylor]: Taking taylor expansion of 0.5 in re 2.896 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 2.896 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 2.896 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.896 * [taylor]: Taking taylor expansion of -1 in re 2.896 * [taylor]: Taking taylor expansion of im in re 2.896 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 2.896 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.896 * [taylor]: Taking taylor expansion of -1 in re 2.896 * [taylor]: Taking taylor expansion of re in re 2.899 * [taylor]: Taking taylor expansion of 0 in re 2.903 * [taylor]: Taking taylor expansion of 0 in re 2.912 * [taylor]: Taking taylor expansion of 0 in re 2.912 * * * * [progress]: [ 2 / 3 ] generating series at (2) 2.913 * [approximate]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in (re im) around 0 2.913 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in im 2.913 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in im 2.913 * [taylor]: Taking taylor expansion of 0.5 in im 2.913 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in im 2.913 * [taylor]: Taking taylor expansion of (exp im) in im 2.913 * [taylor]: Taking taylor expansion of im in im 2.913 * [taylor]: Taking taylor expansion of (cos re) in im 2.913 * [taylor]: Taking taylor expansion of re in im 2.913 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in im 2.913 * [taylor]: Taking taylor expansion of 0.5 in im 2.913 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in im 2.913 * [taylor]: Taking taylor expansion of (cos re) in im 2.913 * [taylor]: Taking taylor expansion of re in im 2.913 * [taylor]: Taking taylor expansion of (exp im) in im 2.913 * [taylor]: Taking taylor expansion of im in im 2.913 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in re 2.913 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 2.913 * [taylor]: Taking taylor expansion of 0.5 in re 2.913 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 2.913 * [taylor]: Taking taylor expansion of (exp im) in re 2.913 * [taylor]: Taking taylor expansion of im in re 2.913 * [taylor]: Taking taylor expansion of (cos re) in re 2.913 * [taylor]: Taking taylor expansion of re in re 2.913 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 2.914 * [taylor]: Taking taylor expansion of 0.5 in re 2.914 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 2.914 * [taylor]: Taking taylor expansion of (cos re) in re 2.914 * [taylor]: Taking taylor expansion of re in re 2.914 * [taylor]: Taking taylor expansion of (exp im) in re 2.914 * [taylor]: Taking taylor expansion of im in re 2.914 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in re 2.914 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 2.914 * [taylor]: Taking taylor expansion of 0.5 in re 2.914 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 2.914 * [taylor]: Taking taylor expansion of (exp im) in re 2.914 * [taylor]: Taking taylor expansion of im in re 2.914 * [taylor]: Taking taylor expansion of (cos re) in re 2.914 * [taylor]: Taking taylor expansion of re in re 2.914 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 2.914 * [taylor]: Taking taylor expansion of 0.5 in re 2.914 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 2.914 * [taylor]: Taking taylor expansion of (cos re) in re 2.914 * [taylor]: Taking taylor expansion of re in re 2.914 * [taylor]: Taking taylor expansion of (exp im) in re 2.914 * [taylor]: Taking taylor expansion of im in re 2.914 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (exp im))) (* 0.5 (exp im))) in im 2.914 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (exp im))) in im 2.914 * [taylor]: Taking taylor expansion of 0.5 in im 2.914 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 2.914 * [taylor]: Taking taylor expansion of (exp im) in im 2.914 * [taylor]: Taking taylor expansion of im in im 2.915 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 2.915 * [taylor]: Taking taylor expansion of 0.5 in im 2.915 * [taylor]: Taking taylor expansion of (exp im) in im 2.915 * [taylor]: Taking taylor expansion of im in im 2.918 * [taylor]: Taking taylor expansion of 0 in im 2.926 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (/ 1 (exp im))) (* 0.25 (exp im)))) in im 2.926 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ 1 (exp im))) (* 0.25 (exp im))) in im 2.926 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (exp im))) in im 2.926 * [taylor]: Taking taylor expansion of 0.25 in im 2.926 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 2.926 * [taylor]: Taking taylor expansion of (exp im) in im 2.926 * [taylor]: Taking taylor expansion of im in im 2.926 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 2.926 * [taylor]: Taking taylor expansion of 0.25 in im 2.926 * [taylor]: Taking taylor expansion of (exp im) in im 2.926 * [taylor]: Taking taylor expansion of im in im 2.933 * [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 2.933 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in im 2.933 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 2.933 * [taylor]: Taking taylor expansion of 0.5 in im 2.933 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 2.933 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 2.933 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.933 * [taylor]: Taking taylor expansion of re in im 2.933 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 2.933 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.933 * [taylor]: Taking taylor expansion of im in im 2.934 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 2.934 * [taylor]: Taking taylor expansion of 0.5 in im 2.934 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 2.934 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 2.934 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.934 * [taylor]: Taking taylor expansion of re in im 2.934 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 2.934 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.934 * [taylor]: Taking taylor expansion of im in im 2.935 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in re 2.935 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 2.935 * [taylor]: Taking taylor expansion of 0.5 in re 2.935 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 2.935 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 2.935 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.935 * [taylor]: Taking taylor expansion of re in re 2.935 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 2.935 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.935 * [taylor]: Taking taylor expansion of im in re 2.935 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 2.935 * [taylor]: Taking taylor expansion of 0.5 in re 2.935 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 2.935 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 2.935 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.935 * [taylor]: Taking taylor expansion of re in re 2.936 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 2.936 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.936 * [taylor]: Taking taylor expansion of im in re 2.936 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in re 2.936 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 2.936 * [taylor]: Taking taylor expansion of 0.5 in re 2.936 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 2.936 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 2.936 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.936 * [taylor]: Taking taylor expansion of re in re 2.936 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 2.936 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.936 * [taylor]: Taking taylor expansion of im in re 2.936 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 2.936 * [taylor]: Taking taylor expansion of 0.5 in re 2.936 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 2.936 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 2.936 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.936 * [taylor]: Taking taylor expansion of re in re 2.937 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 2.937 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.937 * [taylor]: Taking taylor expansion of im in re 2.937 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in im 2.937 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 2.937 * [taylor]: Taking taylor expansion of 0.5 in im 2.937 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 2.937 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 2.937 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.937 * [taylor]: Taking taylor expansion of re in im 2.938 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 2.938 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.938 * [taylor]: Taking taylor expansion of im in im 2.938 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 2.938 * [taylor]: Taking taylor expansion of 0.5 in im 2.938 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 2.938 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 2.938 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.938 * [taylor]: Taking taylor expansion of re in im 2.938 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 2.938 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.938 * [taylor]: Taking taylor expansion of im in im 2.942 * [taylor]: Taking taylor expansion of 0 in im 2.951 * [taylor]: Taking taylor expansion of 0 in im 2.962 * [taylor]: Taking taylor expansion of 0 in im 2.962 * [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 2.962 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in im 2.962 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 2.962 * [taylor]: Taking taylor expansion of 0.5 in im 2.962 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 2.962 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 2.962 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.962 * [taylor]: Taking taylor expansion of -1 in im 2.962 * [taylor]: Taking taylor expansion of re in im 2.963 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 2.963 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.963 * [taylor]: Taking taylor expansion of -1 in im 2.963 * [taylor]: Taking taylor expansion of im in im 2.963 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 2.963 * [taylor]: Taking taylor expansion of 0.5 in im 2.963 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 2.963 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 2.963 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.963 * [taylor]: Taking taylor expansion of -1 in im 2.963 * [taylor]: Taking taylor expansion of im in im 2.964 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 2.964 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.964 * [taylor]: Taking taylor expansion of -1 in im 2.964 * [taylor]: Taking taylor expansion of re in im 2.964 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in re 2.964 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 2.964 * [taylor]: Taking taylor expansion of 0.5 in re 2.964 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 2.964 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 2.964 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.964 * [taylor]: Taking taylor expansion of -1 in re 2.964 * [taylor]: Taking taylor expansion of re in re 2.964 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 2.964 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.964 * [taylor]: Taking taylor expansion of -1 in re 2.964 * [taylor]: Taking taylor expansion of im in re 2.965 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 2.965 * [taylor]: Taking taylor expansion of 0.5 in re 2.965 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 2.965 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 2.965 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.965 * [taylor]: Taking taylor expansion of -1 in re 2.965 * [taylor]: Taking taylor expansion of im in re 2.965 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 2.965 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.965 * [taylor]: Taking taylor expansion of -1 in re 2.965 * [taylor]: Taking taylor expansion of re in re 2.965 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in re 2.965 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 2.965 * [taylor]: Taking taylor expansion of 0.5 in re 2.965 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 2.965 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 2.965 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.965 * [taylor]: Taking taylor expansion of -1 in re 2.965 * [taylor]: Taking taylor expansion of re in re 2.966 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 2.966 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.966 * [taylor]: Taking taylor expansion of -1 in re 2.966 * [taylor]: Taking taylor expansion of im in re 2.966 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 2.966 * [taylor]: Taking taylor expansion of 0.5 in re 2.966 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 2.966 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 2.966 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.966 * [taylor]: Taking taylor expansion of -1 in re 2.966 * [taylor]: Taking taylor expansion of im in re 2.966 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 2.966 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.966 * [taylor]: Taking taylor expansion of -1 in re 2.966 * [taylor]: Taking taylor expansion of re in re 2.967 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in im 2.967 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 2.967 * [taylor]: Taking taylor expansion of 0.5 in im 2.967 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 2.967 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 2.967 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.967 * [taylor]: Taking taylor expansion of -1 in im 2.967 * [taylor]: Taking taylor expansion of re in im 2.967 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 2.967 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.967 * [taylor]: Taking taylor expansion of -1 in im 2.967 * [taylor]: Taking taylor expansion of im in im 2.968 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 2.968 * [taylor]: Taking taylor expansion of 0.5 in im 2.968 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 2.968 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 2.968 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.968 * [taylor]: Taking taylor expansion of -1 in im 2.968 * [taylor]: Taking taylor expansion of im in im 2.968 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 2.968 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.968 * [taylor]: Taking taylor expansion of -1 in im 2.968 * [taylor]: Taking taylor expansion of re in im 2.972 * [taylor]: Taking taylor expansion of 0 in im 2.980 * [taylor]: Taking taylor expansion of 0 in im 2.991 * [taylor]: Taking taylor expansion of 0 in im 2.992 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 2.992 * [approximate]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in (re im) around 0 2.992 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in im 2.992 * [taylor]: Taking taylor expansion of 0.5 in im 2.992 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in im 2.992 * [taylor]: Taking taylor expansion of (cos re) in im 2.992 * [taylor]: Taking taylor expansion of re in im 2.992 * [taylor]: Taking taylor expansion of (exp im) in im 2.992 * [taylor]: Taking taylor expansion of im in im 2.992 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 2.992 * [taylor]: Taking taylor expansion of 0.5 in re 2.992 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 2.992 * [taylor]: Taking taylor expansion of (cos re) in re 2.992 * [taylor]: Taking taylor expansion of re in re 2.992 * [taylor]: Taking taylor expansion of (exp im) in re 2.995 * [taylor]: Taking taylor expansion of im in re 2.995 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 2.995 * [taylor]: Taking taylor expansion of 0.5 in re 2.995 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 2.995 * [taylor]: Taking taylor expansion of (cos re) in re 2.995 * [taylor]: Taking taylor expansion of re in re 2.995 * [taylor]: Taking taylor expansion of (exp im) in re 2.995 * [taylor]: Taking taylor expansion of im in re 2.996 * [taylor]: Taking taylor expansion of (/ 0.5 (exp im)) in im 2.996 * [taylor]: Taking taylor expansion of 0.5 in im 2.996 * [taylor]: Taking taylor expansion of (exp im) in im 2.996 * [taylor]: Taking taylor expansion of im in im 2.997 * [taylor]: Taking taylor expansion of 0 in im 3.001 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (exp im)))) in im 3.001 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (exp im))) in im 3.001 * [taylor]: Taking taylor expansion of 0.25 in im 3.002 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 3.002 * [taylor]: Taking taylor expansion of (exp im) in im 3.002 * [taylor]: Taking taylor expansion of im in im 3.004 * [approximate]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in (re im) around 0 3.004 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 3.004 * [taylor]: Taking taylor expansion of 0.5 in im 3.004 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 3.004 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 3.004 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.004 * [taylor]: Taking taylor expansion of re in im 3.004 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 3.004 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.004 * [taylor]: Taking taylor expansion of im in im 3.005 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 3.005 * [taylor]: Taking taylor expansion of 0.5 in re 3.005 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 3.005 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 3.005 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.005 * [taylor]: Taking taylor expansion of re in re 3.005 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 3.005 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.005 * [taylor]: Taking taylor expansion of im in re 3.005 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 3.005 * [taylor]: Taking taylor expansion of 0.5 in re 3.005 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 3.005 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 3.005 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.005 * [taylor]: Taking taylor expansion of re in re 3.006 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 3.006 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.006 * [taylor]: Taking taylor expansion of im in re 3.006 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 3.006 * [taylor]: Taking taylor expansion of 0.5 in im 3.006 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 3.006 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 3.006 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.006 * [taylor]: Taking taylor expansion of re in im 3.006 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 3.006 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.006 * [taylor]: Taking taylor expansion of im in im 3.008 * [taylor]: Taking taylor expansion of 0 in im 3.012 * [taylor]: Taking taylor expansion of 0 in im 3.017 * [taylor]: Taking taylor expansion of 0 in im 3.017 * [approximate]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in (re im) around 0 3.017 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 3.017 * [taylor]: Taking taylor expansion of 0.5 in im 3.017 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 3.017 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 3.017 * [taylor]: Taking taylor expansion of (/ -1 re) in im 3.017 * [taylor]: Taking taylor expansion of -1 in im 3.017 * [taylor]: Taking taylor expansion of re in im 3.017 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 3.017 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.017 * [taylor]: Taking taylor expansion of -1 in im 3.017 * [taylor]: Taking taylor expansion of im in im 3.018 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 3.018 * [taylor]: Taking taylor expansion of 0.5 in re 3.018 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 3.018 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 3.018 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.018 * [taylor]: Taking taylor expansion of -1 in re 3.018 * [taylor]: Taking taylor expansion of re in re 3.018 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 3.019 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.019 * [taylor]: Taking taylor expansion of -1 in re 3.019 * [taylor]: Taking taylor expansion of im in re 3.019 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 3.019 * [taylor]: Taking taylor expansion of 0.5 in re 3.019 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 3.019 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 3.019 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.019 * [taylor]: Taking taylor expansion of -1 in re 3.019 * [taylor]: Taking taylor expansion of re in re 3.019 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 3.019 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.019 * [taylor]: Taking taylor expansion of -1 in re 3.019 * [taylor]: Taking taylor expansion of im in re 3.019 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 3.019 * [taylor]: Taking taylor expansion of 0.5 in im 3.019 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 3.019 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 3.020 * [taylor]: Taking taylor expansion of (/ -1 re) in im 3.020 * [taylor]: Taking taylor expansion of -1 in im 3.020 * [taylor]: Taking taylor expansion of re in im 3.020 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 3.020 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.020 * [taylor]: Taking taylor expansion of -1 in im 3.020 * [taylor]: Taking taylor expansion of im in im 3.022 * [taylor]: Taking taylor expansion of 0 in im 3.026 * [taylor]: Taking taylor expansion of 0 in im 3.031 * [taylor]: Taking taylor expansion of 0 in im 3.031 * * * [progress]: simplifying candidates 3.032 * [simplify]: Simplifying using # : (* (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))) (* (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)))) (- (+ (log 0.5) (log (cos re))) im) (- (log (* 0.5 (cos re))) im) (log (/ (* 0.5 (cos re)) (exp im))) (exp (/ (* 0.5 (cos re)) (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))) (* (* (exp im) (exp im)) (exp im))) (* (cbrt (/ (* 0.5 (cos re)) (exp im))) (cbrt (/ (* 0.5 (cos re)) (exp im)))) (cbrt (/ (* 0.5 (cos re)) (exp im))) (* (* (/ (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im))) (/ (* 0.5 (cos re)) (exp im))) (sqrt (/ (* 0.5 (cos re)) (exp im))) (sqrt (/ (* 0.5 (cos re)) (exp im))) (- (* 0.5 (cos re))) (- (exp im)) (/ 0.5 (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cos re) (cbrt (exp im))) (/ 0.5 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))) (/ 0.5 1) (/ (cos re) (exp im)) (/ 1 (exp im)) (/ (exp im) (* 0.5 (cos re))) (/ (* 0.5 (cos re)) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (* 0.5 (cos re)) (sqrt (exp im))) (/ (* 0.5 (cos re)) 1) (/ (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)))) (- 0.5 (+ (* 0.25 (pow re 2)) (* 0.5 im))) (* 0.5 (/ (cos re) (exp im))) (* 0.5 (/ (cos re) (exp im))) 3.035 * * [simplify]: iteration 0 : 102 enodes (cost 789 ) 3.054 * * [simplify]: iteration 1 : 278 enodes (cost 713 ) 3.125 * * [simplify]: iteration 2 : 1116 enodes (cost 626 ) 3.572 * * [simplify]: iteration done : 5000 enodes (cost 626 ) 3.573 * [simplify]: Simplified to: (* (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))) (exp (* 0.5 (+ (* (exp im) (cos re)) (/ (cos re) (exp im))))) (log (* 0.5 (+ (* (exp im) (cos re)) (/ (cos re) (exp im))))) (exp (* 0.5 (+ (* (exp im) (cos re)) (/ (cos re) (exp im))))) (* (cbrt (* 0.5 (+ (* (exp im) (cos re)) (/ (cos re) (exp im))))) (cbrt (* 0.5 (+ (* (exp im) (cos re)) (/ (cos re) (exp im)))))) (cbrt (* 0.5 (+ (* (exp im) (cos re)) (/ (cos re) (exp im))))) (pow (* 0.5 (+ (* (exp im) (cos re)) (/ (cos re) (exp im)))) 3) (sqrt (* 0.5 (+ (* (exp im) (cos re)) (/ (cos re) (exp im))))) (sqrt (* 0.5 (+ (* (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 (cos re)) (* 0.5 (cos re))) (exp (+ im im))) (* (* (exp im) (cos re)) (* 0.5 (* 0.5 (- (* (exp im) (cos re)) (/ (cos re) (exp im))))))) (* 0.5 (* (+ (* (exp im) (cos re)) (/ (cos re) (exp im))) (* 0.5 (- (/ (cos re) (exp im)) (* (exp im) (cos re)))))) (* 0.5 (- (/ (cos re) (exp im)) (* (exp im) (cos re)))) (- (log (* 0.5 (cos re))) im) (- (log (* 0.5 (cos re))) im) (- (log (* 0.5 (cos re))) im) (exp (/ (* 0.5 (cos re)) (exp im))) (pow (/ (* 0.5 (cos re)) (exp im)) 3) (pow (/ (* 0.5 (cos re)) (exp im)) 3) (* (cbrt (/ (* 0.5 (cos re)) (exp im))) (cbrt (/ (* 0.5 (cos re)) (exp im)))) (cbrt (/ (* 0.5 (cos re)) (exp im))) (pow (/ (* 0.5 (cos re)) (exp im)) 3) (sqrt (/ (* 0.5 (cos re)) (exp im))) (sqrt (/ (* 0.5 (cos re)) (exp im))) (- (* 0.5 (cos re))) (- (exp im)) (/ 0.5 (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cos re) (cbrt (exp im))) (/ 0.5 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))) 0.5 (/ (cos re) (exp im)) (exp (- im)) (/ (exp im) (* 0.5 (cos re))) (/ (* 0.5 (cos re)) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (* 0.5 (cos re)) (sqrt (exp im))) (* 0.5 (cos re)) (/ (exp im) (cos re)) (+ (* 0.5 im) (+ (* 0.25 (pow im 2)) 0.5)) (* (exp im) (* 0.5 (cos re))) (* (exp im) (* 0.5 (cos re))) (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2))) (* 0.5 (+ (* (exp im) (cos re)) (/ (cos re) (exp im)))) (* 0.5 (+ (* (exp im) (cos re)) (/ (cos re) (exp im)))) (- 0.5 (+ (* 0.25 (pow re 2)) (* 0.5 im))) (/ (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im)) 3.573 * * * [progress]: adding candidates to table 3.704 * * [progress]: iteration 3 / 4 3.704 * * * [progress]: picking best candidate 3.711 * * * * [pick]: Picked # 3.711 * * * [progress]: localizing error 3.722 * * * [progress]: generating rewritten candidates 3.723 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 3.732 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 3.775 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 3.788 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 3.795 * * * [progress]: generating series expansions 3.795 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 3.795 * [approximate]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in (im re) around 0 3.795 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 3.795 * [taylor]: Taking taylor expansion of 0.5 in re 3.795 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 3.795 * [taylor]: Taking taylor expansion of (exp im) in re 3.795 * [taylor]: Taking taylor expansion of im in re 3.795 * [taylor]: Taking taylor expansion of (cos re) in re 3.795 * [taylor]: Taking taylor expansion of re in re 3.796 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in im 3.796 * [taylor]: Taking taylor expansion of 0.5 in im 3.796 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in im 3.796 * [taylor]: Taking taylor expansion of (exp im) in im 3.796 * [taylor]: Taking taylor expansion of im in im 3.796 * [taylor]: Taking taylor expansion of (cos re) in im 3.796 * [taylor]: Taking taylor expansion of re in im 3.796 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in im 3.796 * [taylor]: Taking taylor expansion of 0.5 in im 3.796 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in im 3.796 * [taylor]: Taking taylor expansion of (exp im) in im 3.796 * [taylor]: Taking taylor expansion of im in im 3.796 * [taylor]: Taking taylor expansion of (cos re) in im 3.796 * [taylor]: Taking taylor expansion of re in im 3.797 * [taylor]: Taking taylor expansion of (* 0.5 (cos re)) in re 3.797 * [taylor]: Taking taylor expansion of 0.5 in re 3.797 * [taylor]: Taking taylor expansion of (cos re) in re 3.797 * [taylor]: Taking taylor expansion of re in re 3.800 * [taylor]: Taking taylor expansion of (* 0.5 (cos re)) in re 3.800 * [taylor]: Taking taylor expansion of 0.5 in re 3.800 * [taylor]: Taking taylor expansion of (cos re) in re 3.800 * [taylor]: Taking taylor expansion of re in re 3.804 * [taylor]: Taking taylor expansion of (* 0.25 (cos re)) in re 3.804 * [taylor]: Taking taylor expansion of 0.25 in re 3.804 * [taylor]: Taking taylor expansion of (cos re) in re 3.804 * [taylor]: Taking taylor expansion of re in re 3.805 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in (im re) around 0 3.805 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 3.805 * [taylor]: Taking taylor expansion of 0.5 in re 3.805 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 3.805 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 3.805 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.805 * [taylor]: Taking taylor expansion of re in re 3.805 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 3.805 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.805 * [taylor]: Taking taylor expansion of im in re 3.806 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 3.806 * [taylor]: Taking taylor expansion of 0.5 in im 3.806 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 3.806 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 3.806 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.806 * [taylor]: Taking taylor expansion of re in im 3.806 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 3.806 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.806 * [taylor]: Taking taylor expansion of im in im 3.806 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 3.806 * [taylor]: Taking taylor expansion of 0.5 in im 3.806 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 3.806 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 3.806 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.806 * [taylor]: Taking taylor expansion of re in im 3.806 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 3.806 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.806 * [taylor]: Taking taylor expansion of im in im 3.807 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 3.807 * [taylor]: Taking taylor expansion of 0.5 in re 3.807 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 3.807 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 3.807 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.807 * [taylor]: Taking taylor expansion of re in re 3.807 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 3.807 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.808 * [taylor]: Taking taylor expansion of im in re 3.810 * [taylor]: Taking taylor expansion of 0 in re 3.815 * [taylor]: Taking taylor expansion of 0 in re 3.821 * [taylor]: Taking taylor expansion of 0 in re 3.821 * [approximate]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in (im re) around 0 3.821 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 3.821 * [taylor]: Taking taylor expansion of 0.5 in re 3.821 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 3.821 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 3.821 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.821 * [taylor]: Taking taylor expansion of -1 in re 3.821 * [taylor]: Taking taylor expansion of im in re 3.821 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 3.821 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.821 * [taylor]: Taking taylor expansion of -1 in re 3.821 * [taylor]: Taking taylor expansion of re in re 3.822 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 3.822 * [taylor]: Taking taylor expansion of 0.5 in im 3.822 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 3.822 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 3.822 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.822 * [taylor]: Taking taylor expansion of -1 in im 3.822 * [taylor]: Taking taylor expansion of im in im 3.822 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 3.822 * [taylor]: Taking taylor expansion of (/ -1 re) in im 3.822 * [taylor]: Taking taylor expansion of -1 in im 3.822 * [taylor]: Taking taylor expansion of re in im 3.822 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 3.822 * [taylor]: Taking taylor expansion of 0.5 in im 3.822 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 3.822 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 3.822 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.822 * [taylor]: Taking taylor expansion of -1 in im 3.822 * [taylor]: Taking taylor expansion of im in im 3.823 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 3.823 * [taylor]: Taking taylor expansion of (/ -1 re) in im 3.823 * [taylor]: Taking taylor expansion of -1 in im 3.823 * [taylor]: Taking taylor expansion of re in im 3.823 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 3.823 * [taylor]: Taking taylor expansion of 0.5 in re 3.823 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 3.823 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 3.823 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.823 * [taylor]: Taking taylor expansion of -1 in re 3.823 * [taylor]: Taking taylor expansion of im in re 3.823 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 3.823 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.824 * [taylor]: Taking taylor expansion of -1 in re 3.824 * [taylor]: Taking taylor expansion of re in re 3.826 * [taylor]: Taking taylor expansion of 0 in re 3.830 * [taylor]: Taking taylor expansion of 0 in re 3.836 * [taylor]: Taking taylor expansion of 0 in re 3.836 * * * * [progress]: [ 2 / 4 ] generating series at (2) 3.837 * [approximate]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in (re im) around 0 3.837 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in im 3.837 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in im 3.837 * [taylor]: Taking taylor expansion of 0.5 in im 3.837 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in im 3.837 * [taylor]: Taking taylor expansion of (exp im) in im 3.837 * [taylor]: Taking taylor expansion of im in im 3.837 * [taylor]: Taking taylor expansion of (cos re) in im 3.837 * [taylor]: Taking taylor expansion of re in im 3.837 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in im 3.837 * [taylor]: Taking taylor expansion of 0.5 in im 3.837 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in im 3.837 * [taylor]: Taking taylor expansion of (cos re) in im 3.837 * [taylor]: Taking taylor expansion of re in im 3.837 * [taylor]: Taking taylor expansion of (exp im) in im 3.837 * [taylor]: Taking taylor expansion of im in im 3.838 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in re 3.838 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 3.838 * [taylor]: Taking taylor expansion of 0.5 in re 3.838 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 3.838 * [taylor]: Taking taylor expansion of (exp im) in re 3.838 * [taylor]: Taking taylor expansion of im in re 3.838 * [taylor]: Taking taylor expansion of (cos re) in re 3.838 * [taylor]: Taking taylor expansion of re in re 3.838 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 3.838 * [taylor]: Taking taylor expansion of 0.5 in re 3.838 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 3.838 * [taylor]: Taking taylor expansion of (cos re) in re 3.838 * [taylor]: Taking taylor expansion of re in re 3.838 * [taylor]: Taking taylor expansion of (exp im) in re 3.838 * [taylor]: Taking taylor expansion of im in re 3.838 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in re 3.838 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 3.838 * [taylor]: Taking taylor expansion of 0.5 in re 3.838 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 3.838 * [taylor]: Taking taylor expansion of (exp im) in re 3.838 * [taylor]: Taking taylor expansion of im in re 3.838 * [taylor]: Taking taylor expansion of (cos re) in re 3.838 * [taylor]: Taking taylor expansion of re in re 3.838 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 3.838 * [taylor]: Taking taylor expansion of 0.5 in re 3.838 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 3.838 * [taylor]: Taking taylor expansion of (cos re) in re 3.838 * [taylor]: Taking taylor expansion of re in re 3.838 * [taylor]: Taking taylor expansion of (exp im) in re 3.838 * [taylor]: Taking taylor expansion of im in re 3.838 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (exp im))) (* 0.5 (exp im))) in im 3.838 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (exp im))) in im 3.838 * [taylor]: Taking taylor expansion of 0.5 in im 3.838 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 3.839 * [taylor]: Taking taylor expansion of (exp im) in im 3.839 * [taylor]: Taking taylor expansion of im in im 3.839 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 3.839 * [taylor]: Taking taylor expansion of 0.5 in im 3.839 * [taylor]: Taking taylor expansion of (exp im) in im 3.839 * [taylor]: Taking taylor expansion of im in im 3.842 * [taylor]: Taking taylor expansion of 0 in im 3.850 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (/ 1 (exp im))) (* 0.25 (exp im)))) in im 3.850 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ 1 (exp im))) (* 0.25 (exp im))) in im 3.850 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (exp im))) in im 3.850 * [taylor]: Taking taylor expansion of 0.25 in im 3.850 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 3.850 * [taylor]: Taking taylor expansion of (exp im) in im 3.850 * [taylor]: Taking taylor expansion of im in im 3.850 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 3.850 * [taylor]: Taking taylor expansion of 0.25 in im 3.850 * [taylor]: Taking taylor expansion of (exp im) in im 3.850 * [taylor]: Taking taylor expansion of im in im 3.857 * [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 3.857 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in im 3.857 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 3.857 * [taylor]: Taking taylor expansion of 0.5 in im 3.857 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 3.857 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 3.857 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.857 * [taylor]: Taking taylor expansion of re in im 3.858 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 3.858 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.858 * [taylor]: Taking taylor expansion of im in im 3.858 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 3.858 * [taylor]: Taking taylor expansion of 0.5 in im 3.858 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 3.858 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 3.858 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.858 * [taylor]: Taking taylor expansion of re in im 3.858 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 3.858 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.858 * [taylor]: Taking taylor expansion of im in im 3.859 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in re 3.859 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 3.859 * [taylor]: Taking taylor expansion of 0.5 in re 3.859 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 3.859 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 3.859 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.859 * [taylor]: Taking taylor expansion of re in re 3.859 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 3.859 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.859 * [taylor]: Taking taylor expansion of im in re 3.859 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 3.859 * [taylor]: Taking taylor expansion of 0.5 in re 3.859 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 3.859 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 3.859 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.859 * [taylor]: Taking taylor expansion of re in re 3.860 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 3.860 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.860 * [taylor]: Taking taylor expansion of im in re 3.860 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in re 3.860 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 3.860 * [taylor]: Taking taylor expansion of 0.5 in re 3.860 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 3.860 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 3.860 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.860 * [taylor]: Taking taylor expansion of re in re 3.860 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 3.860 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.860 * [taylor]: Taking taylor expansion of im in re 3.860 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 3.860 * [taylor]: Taking taylor expansion of 0.5 in re 3.860 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 3.860 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 3.860 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.861 * [taylor]: Taking taylor expansion of re in re 3.861 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 3.861 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.861 * [taylor]: Taking taylor expansion of im in re 3.861 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in im 3.861 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 3.861 * [taylor]: Taking taylor expansion of 0.5 in im 3.862 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 3.862 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 3.862 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.862 * [taylor]: Taking taylor expansion of re in im 3.862 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 3.862 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.862 * [taylor]: Taking taylor expansion of im in im 3.862 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 3.862 * [taylor]: Taking taylor expansion of 0.5 in im 3.862 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 3.862 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 3.862 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.862 * [taylor]: Taking taylor expansion of re in im 3.862 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 3.862 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.862 * [taylor]: Taking taylor expansion of im in im 3.871 * [taylor]: Taking taylor expansion of 0 in im 3.879 * [taylor]: Taking taylor expansion of 0 in im 3.890 * [taylor]: Taking taylor expansion of 0 in im 3.891 * [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 3.891 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in im 3.891 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 3.891 * [taylor]: Taking taylor expansion of 0.5 in im 3.891 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 3.891 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 3.891 * [taylor]: Taking taylor expansion of (/ -1 re) in im 3.891 * [taylor]: Taking taylor expansion of -1 in im 3.891 * [taylor]: Taking taylor expansion of re in im 3.891 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 3.891 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.891 * [taylor]: Taking taylor expansion of -1 in im 3.891 * [taylor]: Taking taylor expansion of im in im 3.892 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 3.892 * [taylor]: Taking taylor expansion of 0.5 in im 3.892 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 3.892 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 3.892 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.892 * [taylor]: Taking taylor expansion of -1 in im 3.892 * [taylor]: Taking taylor expansion of im in im 3.892 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 3.892 * [taylor]: Taking taylor expansion of (/ -1 re) in im 3.892 * [taylor]: Taking taylor expansion of -1 in im 3.892 * [taylor]: Taking taylor expansion of re in im 3.892 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in re 3.892 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 3.892 * [taylor]: Taking taylor expansion of 0.5 in re 3.892 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 3.892 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 3.892 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.892 * [taylor]: Taking taylor expansion of -1 in re 3.893 * [taylor]: Taking taylor expansion of re in re 3.893 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 3.893 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.893 * [taylor]: Taking taylor expansion of -1 in re 3.893 * [taylor]: Taking taylor expansion of im in re 3.893 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 3.893 * [taylor]: Taking taylor expansion of 0.5 in re 3.893 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 3.893 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 3.893 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.893 * [taylor]: Taking taylor expansion of -1 in re 3.893 * [taylor]: Taking taylor expansion of im in re 3.893 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 3.893 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.893 * [taylor]: Taking taylor expansion of -1 in re 3.893 * [taylor]: Taking taylor expansion of re in re 3.894 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in re 3.894 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 3.894 * [taylor]: Taking taylor expansion of 0.5 in re 3.894 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 3.894 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 3.894 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.894 * [taylor]: Taking taylor expansion of -1 in re 3.894 * [taylor]: Taking taylor expansion of re in re 3.894 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 3.894 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.894 * [taylor]: Taking taylor expansion of -1 in re 3.894 * [taylor]: Taking taylor expansion of im in re 3.894 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 3.894 * [taylor]: Taking taylor expansion of 0.5 in re 3.894 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 3.894 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 3.894 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.894 * [taylor]: Taking taylor expansion of -1 in re 3.894 * [taylor]: Taking taylor expansion of im in re 3.894 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 3.894 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.894 * [taylor]: Taking taylor expansion of -1 in re 3.894 * [taylor]: Taking taylor expansion of re in re 3.895 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in im 3.895 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 3.895 * [taylor]: Taking taylor expansion of 0.5 in im 3.895 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 3.895 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 3.895 * [taylor]: Taking taylor expansion of (/ -1 re) in im 3.896 * [taylor]: Taking taylor expansion of -1 in im 3.896 * [taylor]: Taking taylor expansion of re in im 3.896 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 3.896 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.896 * [taylor]: Taking taylor expansion of -1 in im 3.896 * [taylor]: Taking taylor expansion of im in im 3.896 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 3.896 * [taylor]: Taking taylor expansion of 0.5 in im 3.896 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 3.896 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 3.897 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.897 * [taylor]: Taking taylor expansion of -1 in im 3.897 * [taylor]: Taking taylor expansion of im in im 3.897 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 3.897 * [taylor]: Taking taylor expansion of (/ -1 re) in im 3.897 * [taylor]: Taking taylor expansion of -1 in im 3.897 * [taylor]: Taking taylor expansion of re in im 3.900 * [taylor]: Taking taylor expansion of 0 in im 3.908 * [taylor]: Taking taylor expansion of 0 in im 3.919 * [taylor]: Taking taylor expansion of 0 in im 3.920 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 3.920 * [approximate]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in (re im) around 0 3.920 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in im 3.920 * [taylor]: Taking taylor expansion of 0.5 in im 3.920 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in im 3.920 * [taylor]: Taking taylor expansion of (cos re) in im 3.920 * [taylor]: Taking taylor expansion of re in im 3.920 * [taylor]: Taking taylor expansion of (exp im) in im 3.920 * [taylor]: Taking taylor expansion of im in im 3.920 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 3.920 * [taylor]: Taking taylor expansion of 0.5 in re 3.920 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 3.920 * [taylor]: Taking taylor expansion of (cos re) in re 3.920 * [taylor]: Taking taylor expansion of re in re 3.920 * [taylor]: Taking taylor expansion of (exp im) in re 3.920 * [taylor]: Taking taylor expansion of im in re 3.921 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 3.921 * [taylor]: Taking taylor expansion of 0.5 in re 3.921 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 3.921 * [taylor]: Taking taylor expansion of (cos re) in re 3.921 * [taylor]: Taking taylor expansion of re in re 3.921 * [taylor]: Taking taylor expansion of (exp im) in re 3.921 * [taylor]: Taking taylor expansion of im in re 3.921 * [taylor]: Taking taylor expansion of (/ 0.5 (exp im)) in im 3.921 * [taylor]: Taking taylor expansion of 0.5 in im 3.921 * [taylor]: Taking taylor expansion of (exp im) in im 3.921 * [taylor]: Taking taylor expansion of im in im 3.923 * [taylor]: Taking taylor expansion of 0 in im 3.927 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (exp im)))) in im 3.927 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (exp im))) in im 3.927 * [taylor]: Taking taylor expansion of 0.25 in im 3.927 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 3.927 * [taylor]: Taking taylor expansion of (exp im) in im 3.927 * [taylor]: Taking taylor expansion of im in im 3.929 * [approximate]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in (re im) around 0 3.929 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 3.929 * [taylor]: Taking taylor expansion of 0.5 in im 3.929 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 3.929 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 3.929 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.929 * [taylor]: Taking taylor expansion of re in im 3.929 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 3.929 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.929 * [taylor]: Taking taylor expansion of im in im 3.930 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 3.930 * [taylor]: Taking taylor expansion of 0.5 in re 3.930 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 3.930 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 3.930 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.930 * [taylor]: Taking taylor expansion of re in re 3.930 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 3.930 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.930 * [taylor]: Taking taylor expansion of im in re 3.930 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 3.930 * [taylor]: Taking taylor expansion of 0.5 in re 3.931 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 3.931 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 3.931 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.931 * [taylor]: Taking taylor expansion of re in re 3.931 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 3.931 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.931 * [taylor]: Taking taylor expansion of im in re 3.931 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 3.931 * [taylor]: Taking taylor expansion of 0.5 in im 3.931 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 3.931 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 3.931 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.931 * [taylor]: Taking taylor expansion of re in im 3.931 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 3.931 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.931 * [taylor]: Taking taylor expansion of im in im 3.933 * [taylor]: Taking taylor expansion of 0 in im 3.937 * [taylor]: Taking taylor expansion of 0 in im 3.943 * [taylor]: Taking taylor expansion of 0 in im 3.943 * [approximate]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in (re im) around 0 3.943 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 3.943 * [taylor]: Taking taylor expansion of 0.5 in im 3.943 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 3.943 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 3.943 * [taylor]: Taking taylor expansion of (/ -1 re) in im 3.943 * [taylor]: Taking taylor expansion of -1 in im 3.943 * [taylor]: Taking taylor expansion of re in im 3.943 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 3.943 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.943 * [taylor]: Taking taylor expansion of -1 in im 3.943 * [taylor]: Taking taylor expansion of im in im 3.944 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 3.944 * [taylor]: Taking taylor expansion of 0.5 in re 3.944 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 3.944 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 3.944 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.944 * [taylor]: Taking taylor expansion of -1 in re 3.944 * [taylor]: Taking taylor expansion of re in re 3.945 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 3.945 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.945 * [taylor]: Taking taylor expansion of -1 in re 3.945 * [taylor]: Taking taylor expansion of im in re 3.945 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 3.945 * [taylor]: Taking taylor expansion of 0.5 in re 3.945 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 3.945 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 3.945 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.945 * [taylor]: Taking taylor expansion of -1 in re 3.945 * [taylor]: Taking taylor expansion of re in re 3.945 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 3.945 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.945 * [taylor]: Taking taylor expansion of -1 in re 3.945 * [taylor]: Taking taylor expansion of im in re 3.946 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 3.946 * [taylor]: Taking taylor expansion of 0.5 in im 3.946 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 3.946 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 3.946 * [taylor]: Taking taylor expansion of (/ -1 re) in im 3.946 * [taylor]: Taking taylor expansion of -1 in im 3.946 * [taylor]: Taking taylor expansion of re in im 3.946 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 3.946 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.946 * [taylor]: Taking taylor expansion of -1 in im 3.946 * [taylor]: Taking taylor expansion of im in im 3.948 * [taylor]: Taking taylor expansion of 0 in im 3.952 * [taylor]: Taking taylor expansion of 0 in im 3.960 * [taylor]: Taking taylor expansion of 0 in im 3.960 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 3.960 * [approximate]: Taking taylor expansion of (sqrt (exp im)) in (im) around 0 3.960 * [taylor]: Taking taylor expansion of (sqrt (exp im)) in im 3.960 * [taylor]: Taking taylor expansion of (exp im) in im 3.960 * [taylor]: Taking taylor expansion of im in im 3.961 * [taylor]: Taking taylor expansion of (sqrt (exp im)) in im 3.961 * [taylor]: Taking taylor expansion of (exp im) in im 3.961 * [taylor]: Taking taylor expansion of im in im 3.964 * [approximate]: Taking taylor expansion of (sqrt (exp (/ 1 im))) in (im) around 0 3.964 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 im))) in im 3.964 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 3.964 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.964 * [taylor]: Taking taylor expansion of im in im 3.965 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 im))) in im 3.965 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 3.965 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.965 * [taylor]: Taking taylor expansion of im in im 3.968 * [approximate]: Taking taylor expansion of (sqrt (exp (/ -1 im))) in (im) around 0 3.968 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 im))) in im 3.968 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 3.968 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.968 * [taylor]: Taking taylor expansion of -1 in im 3.968 * [taylor]: Taking taylor expansion of im in im 3.968 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 im))) in im 3.968 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 3.969 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.969 * [taylor]: Taking taylor expansion of -1 in im 3.969 * [taylor]: Taking taylor expansion of im in im 3.972 * * * [progress]: simplifying candidates 3.974 * [simplify]: Simplifying using # : (* (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))) (* (exp (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))) (exp (* (exp im) (* 0.5 (cos re))))) (log (+ (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (* (exp im) (* 0.5 (cos re))))) (exp (+ (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (* (exp im) (* 0.5 (cos re))))) (* (cbrt (+ (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (* (exp im) (* 0.5 (cos re))))) (cbrt (+ (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (* (exp im) (* 0.5 (cos re)))))) (cbrt (+ (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (* (exp im) (* 0.5 (cos re))))) (* (* (+ (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (* (exp im) (* 0.5 (cos re)))) (+ (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (* (exp im) (* 0.5 (cos re))))) (+ (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (* (exp im) (* 0.5 (cos re))))) (sqrt (+ (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (* (exp im) (* 0.5 (cos re))))) (sqrt (+ (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (* (exp im) (* 0.5 (cos re))))) (+ (pow (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) 3) (pow (* (exp im) (* 0.5 (cos re))) 3)) (+ (* (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))) (- (* (* (exp im) (* 0.5 (cos re))) (* (exp im) (* 0.5 (cos re)))) (* (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (* (exp im) (* 0.5 (cos re)))))) (- (* (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))) (* (* (exp im) (* 0.5 (cos re))) (* (exp im) (* 0.5 (cos re))))) (- (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (* (exp im) (* 0.5 (cos re)))) (- (- (+ (log 0.5) (log (cos re))) (log (sqrt (exp im)))) (log (sqrt (exp im)))) (- (- (log (* 0.5 (cos re))) (log (sqrt (exp im)))) (log (sqrt (exp im)))) (- (log (/ (* 0.5 (cos re)) (sqrt (exp im)))) (log (sqrt (exp im)))) (log (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))) (exp (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))) (/ (/ (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im)))) (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im)))) (/ (/ (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im)))) (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im)))) (/ (* (* (/ (* 0.5 (cos re)) (sqrt (exp im))) (/ (* 0.5 (cos re)) (sqrt (exp im)))) (/ (* 0.5 (cos re)) (sqrt (exp im)))) (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im)))) (* (cbrt (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))) (cbrt (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))))) (cbrt (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))) (* (* (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))) (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))) (sqrt (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))) (sqrt (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))) (- (/ (* 0.5 (cos re)) (sqrt (exp im)))) (- (sqrt (exp im))) (/ (* (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im))))) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (cbrt (sqrt (exp im)))) (/ (* (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im))))) (sqrt (* (cbrt (exp im)) (cbrt (exp im))))) (/ (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (sqrt (cbrt (exp im)))) (/ (* (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im))))) (sqrt (sqrt (exp im)))) (/ (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (/ (* (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im))))) (sqrt 1)) (/ (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (sqrt (exp im))) (/ (* (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im))))) (sqrt (sqrt (exp im)))) (/ (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (/ (* (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im))))) 1) (/ (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (sqrt (exp im))) (/ (sqrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (sqrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (cbrt (sqrt (exp im)))) (/ (sqrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (sqrt (* (cbrt (exp im)) (cbrt (exp im))))) (/ (sqrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (sqrt (cbrt (exp im)))) (/ (sqrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (/ (sqrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (/ (sqrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (sqrt 1)) (/ (sqrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (sqrt (exp im))) (/ (sqrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (/ (sqrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (/ (sqrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) 1) (/ (sqrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (sqrt (exp im))) (/ (/ 0.5 (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (/ (cos re) (cbrt (sqrt (exp im)))) (cbrt (sqrt (exp im)))) (/ (/ 0.5 (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (sqrt (* (cbrt (exp im)) (cbrt (exp im))))) (/ (/ (cos re) (cbrt (sqrt (exp im)))) (sqrt (cbrt (exp im)))) (/ (/ 0.5 (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (sqrt (sqrt (exp im)))) (/ (/ (cos re) (cbrt (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (/ (/ 0.5 (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (sqrt 1)) (/ (/ (cos re) (cbrt (sqrt (exp im)))) (sqrt (exp im))) (/ (/ 0.5 (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (sqrt (sqrt (exp im)))) (/ (/ (cos re) (cbrt (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (/ (/ 0.5 (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) 1) (/ (/ (cos re) (cbrt (sqrt (exp im)))) (sqrt (exp im))) (/ (/ 0.5 (sqrt (* (cbrt (exp im)) (cbrt (exp im))))) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (/ (cos re) (sqrt (cbrt (exp im)))) (cbrt (sqrt (exp im)))) (/ (/ 0.5 (sqrt (* (cbrt (exp im)) (cbrt (exp im))))) (sqrt (* (cbrt (exp im)) (cbrt (exp im))))) (/ (/ (cos re) (sqrt (cbrt (exp im)))) (sqrt (cbrt (exp im)))) (/ (/ 0.5 (sqrt (* (cbrt (exp im)) (cbrt (exp im))))) (sqrt (sqrt (exp im)))) (/ (/ (cos re) (sqrt (cbrt (exp im)))) (sqrt (sqrt (exp im)))) (/ (/ 0.5 (sqrt (* (cbrt (exp im)) (cbrt (exp im))))) (sqrt 1)) (/ (/ (cos re) (sqrt (cbrt (exp im)))) (sqrt (exp im))) (/ (/ 0.5 (sqrt (* (cbrt (exp im)) (cbrt (exp im))))) (sqrt (sqrt (exp im)))) (/ (/ (cos re) (sqrt (cbrt (exp im)))) (sqrt (sqrt (exp im)))) (/ (/ 0.5 (sqrt (* (cbrt (exp im)) (cbrt (exp im))))) 1) (/ (/ (cos re) (sqrt (cbrt (exp im)))) (sqrt (exp im))) (/ (/ 0.5 (sqrt (sqrt (exp im)))) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (/ (cos re) (sqrt (sqrt (exp im)))) (cbrt (sqrt (exp im)))) (/ (/ 0.5 (sqrt (sqrt (exp im)))) (sqrt (* (cbrt (exp im)) (cbrt (exp im))))) (/ (/ (cos re) (sqrt (sqrt (exp im)))) (sqrt (cbrt (exp im)))) (/ (/ 0.5 (sqrt (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (/ (/ (cos re) (sqrt (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (/ (/ 0.5 (sqrt (sqrt (exp im)))) (sqrt 1)) (/ (/ (cos re) (sqrt (sqrt (exp im)))) (sqrt (exp im))) (/ (/ 0.5 (sqrt (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (/ (/ (cos re) (sqrt (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (/ (/ 0.5 (sqrt (sqrt (exp im)))) 1) (/ (/ (cos re) (sqrt (sqrt (exp im)))) (sqrt (exp im))) (/ (/ 0.5 (sqrt 1)) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (/ (cos re) (sqrt (exp im))) (cbrt (sqrt (exp im)))) (/ (/ 0.5 (sqrt 1)) (sqrt (* (cbrt (exp im)) (cbrt (exp im))))) (/ (/ (cos re) (sqrt (exp im))) (sqrt (cbrt (exp im)))) (/ (/ 0.5 (sqrt 1)) (sqrt (sqrt (exp im)))) (/ (/ (cos re) (sqrt (exp im))) (sqrt (sqrt (exp im)))) (/ (/ 0.5 (sqrt 1)) (sqrt 1)) (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im))) (/ (/ 0.5 (sqrt 1)) (sqrt (sqrt (exp im)))) (/ (/ (cos re) (sqrt (exp im))) (sqrt (sqrt (exp im)))) (/ (/ 0.5 (sqrt 1)) 1) (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im))) (/ (/ 0.5 (sqrt (sqrt (exp im)))) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (/ (cos re) (sqrt (sqrt (exp im)))) (cbrt (sqrt (exp im)))) (/ (/ 0.5 (sqrt (sqrt (exp im)))) (sqrt (* (cbrt (exp im)) (cbrt (exp im))))) (/ (/ (cos re) (sqrt (sqrt (exp im)))) (sqrt (cbrt (exp im)))) (/ (/ 0.5 (sqrt (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (/ (/ (cos re) (sqrt (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (/ (/ 0.5 (sqrt (sqrt (exp im)))) (sqrt 1)) (/ (/ (cos re) (sqrt (sqrt (exp im)))) (sqrt (exp im))) (/ (/ 0.5 (sqrt (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (/ (/ (cos re) (sqrt (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (/ (/ 0.5 (sqrt (sqrt (exp im)))) 1) (/ (/ (cos re) (sqrt (sqrt (exp im)))) (sqrt (exp im))) (/ (/ 0.5 1) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (/ (cos re) (sqrt (exp im))) (cbrt (sqrt (exp im)))) (/ (/ 0.5 1) (sqrt (* (cbrt (exp im)) (cbrt (exp im))))) (/ (/ (cos re) (sqrt (exp im))) (sqrt (cbrt (exp im)))) (/ (/ 0.5 1) (sqrt (sqrt (exp im)))) (/ (/ (cos re) (sqrt (exp im))) (sqrt (sqrt (exp im)))) (/ (/ 0.5 1) (sqrt 1)) (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im))) (/ (/ 0.5 1) (sqrt (sqrt (exp im)))) (/ (/ (cos re) (sqrt (exp im))) (sqrt (sqrt (exp im)))) (/ (/ 0.5 1) 1) (/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im))) (/ 1 (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (cbrt (sqrt (exp im)))) (/ 1 (sqrt (* (cbrt (exp im)) (cbrt (exp im))))) (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (cbrt (exp im)))) (/ 1 (sqrt (sqrt (exp im)))) (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (sqrt (exp im)))) (/ 1 (sqrt 1)) (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (/ 1 (sqrt (sqrt (exp im)))) (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (sqrt (exp im)))) (/ 1 1) (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (/ (* 0.5 (cos re)) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (/ 1 (sqrt (exp im))) (cbrt (sqrt (exp im)))) (/ (* 0.5 (cos re)) (sqrt (* (cbrt (exp im)) (cbrt (exp im))))) (/ (/ 1 (sqrt (exp im))) (sqrt (cbrt (exp im)))) (/ (* 0.5 (cos re)) (sqrt (sqrt (exp im)))) (/ (/ 1 (sqrt (exp im))) (sqrt (sqrt (exp im)))) (/ (* 0.5 (cos re)) (sqrt 1)) (/ (/ 1 (sqrt (exp im))) (sqrt (exp im))) (/ (* 0.5 (cos re)) (sqrt (sqrt (exp im)))) (/ (/ 1 (sqrt (exp im))) (sqrt (sqrt (exp im)))) (/ (* 0.5 (cos re)) 1) (/ (/ 1 (sqrt (exp im))) (sqrt (exp im))) (/ 1 (sqrt (exp im))) (/ (sqrt (exp im)) (/ (* 0.5 (cos re)) (sqrt (exp im)))) (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (* (cbrt (exp im)) (cbrt (exp im))))) (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (sqrt (exp im)))) (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt 1)) (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (sqrt (exp im)))) (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) 1) (/ (sqrt (exp im)) (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im))))) (/ (sqrt (exp im)) (sqrt (/ (* 0.5 (cos re)) (sqrt (exp im))))) (/ (sqrt (exp im)) (/ (cos re) (cbrt (sqrt (exp im))))) (/ (sqrt (exp im)) (/ (cos re) (sqrt (cbrt (exp im))))) (/ (sqrt (exp im)) (/ (cos re) (sqrt (sqrt (exp im))))) (/ (sqrt (exp im)) (/ (cos re) (sqrt (exp im)))) (/ (sqrt (exp im)) (/ (cos re) (sqrt (sqrt (exp im))))) (/ (sqrt (exp im)) (/ (cos re) (sqrt (exp im)))) (/ (sqrt (exp im)) (/ (* 0.5 (cos re)) (sqrt (exp im)))) (/ (sqrt (exp im)) (/ 1 (sqrt (exp im)))) (* (sqrt (exp im)) (sqrt (exp im))) (log (sqrt (exp im))) (exp (sqrt (exp im))) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im)))) (cbrt (sqrt (exp im))) (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im))) (sqrt (* (cbrt (exp im)) (cbrt (exp im)))) (sqrt (cbrt (exp im))) (sqrt (sqrt (exp im))) (sqrt (sqrt (exp im))) (sqrt 1) (sqrt (exp im)) (/ 1 2) (/ (cbrt im) 2) (/ (sqrt im) 2) (/ im 2) (sqrt (sqrt (exp im))) (sqrt (sqrt (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)))) (- 0.5 (+ (* 0.25 (pow re 2)) (* 0.5 im))) (* 0.5 (/ (cos re) (exp im))) (* 0.5 (/ (cos re) (exp im))) (+ (* 1/2 im) (+ (* 1/8 (pow im 2)) 1)) (sqrt (exp im)) (sqrt (exp im)) 3.981 * * [simplify]: iteration 0 : 223 enodes (cost 2753 ) 4.042 * * [simplify]: iteration 1 : 566 enodes (cost 2284 ) 4.226 * * [simplify]: iteration 2 : 1980 enodes (cost 2080 ) 4.721 * * [simplify]: iteration done : 5001 enodes (cost 2077 ) 4.722 * [simplify]: Simplified to: (* (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))) (exp (* 0.5 (+ (* (exp im) (cos re)) (/ (cos re) (exp im))))) (log (* 0.5 (+ (* (exp im) (cos re)) (/ (cos re) (exp im))))) (exp (* 0.5 (+ (* (exp im) (cos re)) (/ (cos re) (exp im))))) (* (cbrt (* 0.5 (+ (* (exp im) (cos re)) (/ (cos re) (exp im))))) (cbrt (* 0.5 (+ (* (exp im) (cos re)) (/ (cos re) (exp im)))))) (cbrt (* 0.5 (+ (* (exp im) (cos re)) (/ (cos re) (exp im))))) (pow (* 0.5 (+ (* (exp im) (cos re)) (/ (cos re) (exp im)))) 3) (sqrt (* 0.5 (+ (* (exp im) (cos re)) (/ (cos re) (exp im))))) (sqrt (* 0.5 (+ (* (exp im) (cos re)) (/ (cos re) (exp im))))) (+ (pow (* 0.5 (* (exp im) (cos re))) 3) (pow (* 0.5 (/ (cos re) (exp im))) 3)) (+ (* 0.5 (* (* (exp im) (cos re)) (* 0.5 (- (* (exp im) (cos re)) (/ (cos re) (exp im)))))) (/ (* (* 0.5 (cos re)) (* 0.5 (cos re))) (exp (+ im im)))) (* (* 0.5 (- (/ (cos re) (exp im)) (* (exp im) (cos re)))) (* 0.5 (+ (* (exp im) (cos re)) (/ (cos re) (exp im))))) (* 0.5 (- (/ (cos re) (exp im)) (* (exp im) (cos re)))) (- (log (* 0.5 (cos re))) im) (- (log (* 0.5 (cos re))) im) (- (log (* 0.5 (cos re))) im) (- (log (* 0.5 (cos re))) im) (exp (* 0.5 (/ (cos re) (exp im)))) (pow (* 0.5 (/ (cos re) (exp im))) 3) (pow (* 0.5 (/ (cos re) (exp im))) 3) (pow (* 0.5 (/ (cos re) (exp im))) 3) (* (cbrt (* 0.5 (/ (cos re) (exp im)))) (cbrt (* 0.5 (/ (cos re) (exp im))))) (cbrt (* 0.5 (/ (cos re) (exp im)))) (pow (* 0.5 (/ (cos re) (exp im))) 3) (sqrt (* 0.5 (/ (cos re) (exp im)))) (sqrt (* 0.5 (/ (cos re) (exp im)))) (- (/ (* 0.5 (cos re)) (sqrt (exp im)))) (- (sqrt (exp im))) (/ (* (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im))))) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (cbrt (sqrt (exp im)))) (/ (* (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im))))) (fabs (cbrt (exp im)))) (/ (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (sqrt (cbrt (exp im)))) (/ (* (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im))))) (sqrt (sqrt (exp im)))) (/ (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (* (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im))))) (/ (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (sqrt (exp im))) (/ (* (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im))))) (sqrt (sqrt (exp im)))) (/ (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (* (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im))))) (/ (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (sqrt (exp im))) (/ (sqrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (sqrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (cbrt (sqrt (exp im)))) (/ (sqrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (fabs (cbrt (exp im)))) (/ (sqrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (sqrt (cbrt (exp im)))) (/ (sqrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (/ (sqrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (sqrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (/ (sqrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (sqrt (exp im))) (/ (sqrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (/ (sqrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (sqrt (sqrt (exp im)))) (sqrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (/ (sqrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (sqrt (exp im))) (/ (/ 0.5 (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (/ (cos re) (cbrt (sqrt (exp im)))) (cbrt (sqrt (exp im)))) (/ (/ 0.5 (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (fabs (cbrt (exp im)))) (/ (/ (cos re) (cbrt (sqrt (exp im)))) (sqrt (cbrt (exp im)))) (/ (/ 0.5 (sqrt (sqrt (exp im)))) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (/ (cos re) (sqrt (sqrt (exp im)))) (cbrt (sqrt (exp im)))) (/ 0.5 (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (/ (cos re) (cbrt (sqrt (exp im)))) (sqrt (exp im))) (/ (/ 0.5 (sqrt (sqrt (exp im)))) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (/ (cos re) (sqrt (sqrt (exp im)))) (cbrt (sqrt (exp im)))) (/ 0.5 (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (/ (cos re) (cbrt (sqrt (exp im)))) (sqrt (exp im))) (/ (/ 0.5 (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (fabs (cbrt (exp im)))) (/ (/ (cos re) (cbrt (sqrt (exp im)))) (sqrt (cbrt (exp im)))) (/ 0.5 (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cos re) (cbrt (exp im))) (/ (/ 0.5 (sqrt (sqrt (exp im)))) (fabs (cbrt (exp im)))) (/ (/ (cos re) (sqrt (cbrt (exp im)))) (sqrt (sqrt (exp im)))) (/ 0.5 (fabs (cbrt (exp im)))) (/ (/ (cos re) (sqrt (exp im))) (sqrt (cbrt (exp im)))) (/ (/ 0.5 (sqrt (sqrt (exp im)))) (fabs (cbrt (exp im)))) (/ (/ (cos re) (sqrt (cbrt (exp im)))) (sqrt (sqrt (exp im)))) (/ 0.5 (fabs (cbrt (exp im)))) (/ (/ (cos re) (sqrt (exp im))) (sqrt (cbrt (exp im)))) (/ (/ 0.5 (sqrt (sqrt (exp im)))) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (/ (cos re) (sqrt (sqrt (exp im)))) (cbrt (sqrt (exp im)))) (/ (/ 0.5 (sqrt (sqrt (exp im)))) (fabs (cbrt (exp im)))) (/ (/ (cos re) (sqrt (cbrt (exp im)))) (sqrt (sqrt (exp im)))) (/ 0.5 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))) (/ 0.5 (sqrt (sqrt (exp im)))) (/ (/ (cos re) (sqrt (sqrt (exp im)))) (sqrt (exp im))) (/ 0.5 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))) (/ 0.5 (sqrt (sqrt (exp im)))) (/ (/ (cos re) (sqrt (sqrt (exp im)))) (sqrt (exp im))) (/ 0.5 (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (/ (cos re) (cbrt (sqrt (exp im)))) (sqrt (exp im))) (/ 0.5 (fabs (cbrt (exp im)))) (/ (/ (cos re) (sqrt (exp im))) (sqrt (cbrt (exp im)))) (/ 0.5 (sqrt (sqrt (exp im)))) (/ (/ (cos re) (sqrt (sqrt (exp im)))) (sqrt (exp im))) 0.5 (/ (cos re) (exp im)) (/ 0.5 (sqrt (sqrt (exp im)))) (/ (/ (cos re) (sqrt (sqrt (exp im)))) (sqrt (exp im))) 0.5 (/ (cos re) (exp im)) (/ (/ 0.5 (sqrt (sqrt (exp im)))) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (/ (cos re) (sqrt (sqrt (exp im)))) (cbrt (sqrt (exp im)))) (/ (/ 0.5 (sqrt (sqrt (exp im)))) (fabs (cbrt (exp im)))) (/ (/ (cos re) (sqrt (cbrt (exp im)))) (sqrt (sqrt (exp im)))) (/ 0.5 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))) (/ 0.5 (sqrt (sqrt (exp im)))) (/ (/ (cos re) (sqrt (sqrt (exp im)))) (sqrt (exp im))) (/ 0.5 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))) (/ 0.5 (sqrt (sqrt (exp im)))) (/ (/ (cos re) (sqrt (sqrt (exp im)))) (sqrt (exp im))) (/ 0.5 (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (/ (cos re) (cbrt (sqrt (exp im)))) (sqrt (exp im))) (/ 0.5 (fabs (cbrt (exp im)))) (/ (/ (cos re) (sqrt (exp im))) (sqrt (cbrt (exp im)))) (/ 0.5 (sqrt (sqrt (exp im)))) (/ (/ (cos re) (sqrt (sqrt (exp im)))) (sqrt (exp im))) 0.5 (/ (cos re) (exp im)) (/ 0.5 (sqrt (sqrt (exp im)))) (/ (/ (cos re) (sqrt (sqrt (exp im)))) (sqrt (exp im))) 0.5 (/ (cos re) (exp im)) (/ 1 (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (cbrt (sqrt (exp im)))) (/ 1 (fabs (cbrt (exp im)))) (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (cbrt (exp im)))) (/ 1 (sqrt (sqrt (exp im)))) (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (sqrt (exp im)))) 1 (* 0.5 (/ (cos re) (exp im))) (/ 1 (sqrt (sqrt (exp im)))) (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (sqrt (exp im)))) 1 (* 0.5 (/ (cos re) (exp im))) (/ (* 0.5 (cos re)) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (/ 1 (sqrt (exp im))) (cbrt (sqrt (exp im)))) (/ (* 0.5 (cos re)) (fabs (cbrt (exp im)))) (/ (/ 1 (sqrt (exp im))) (sqrt (cbrt (exp im)))) (/ (* 0.5 (cos re)) (sqrt (sqrt (exp im)))) (/ (/ 1 (sqrt (exp im))) (sqrt (sqrt (exp im)))) (* 0.5 (cos re)) (exp (- im)) (/ (* 0.5 (cos re)) (sqrt (sqrt (exp im)))) (/ (/ 1 (sqrt (exp im))) (sqrt (sqrt (exp im)))) (* 0.5 (cos re)) (exp (- im)) (/ 1 (sqrt (exp im))) (/ (exp im) (* 0.5 (cos re))) (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (fabs (cbrt (exp im)))) (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (sqrt (exp im)))) (* (/ (cos re) (sqrt (exp im))) 0.5) (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (sqrt (exp im)))) (* (/ (cos re) (sqrt (exp im))) 0.5) (/ (sqrt (exp im)) (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im))))) (/ (sqrt (exp im)) (sqrt (/ (* 0.5 (cos re)) (sqrt (exp im))))) (/ (sqrt (exp im)) (/ (cos re) (cbrt (sqrt (exp im))))) (/ (sqrt (exp im)) (/ (cos re) (sqrt (cbrt (exp im))))) (/ (sqrt (exp im)) (/ (cos re) (sqrt (sqrt (exp im))))) (/ (exp im) (cos re)) (/ (sqrt (exp im)) (/ (cos re) (sqrt (sqrt (exp im))))) (/ (exp im) (cos re)) (/ (exp im) (* 0.5 (cos re))) (exp im) (exp im) (log (sqrt (exp im))) (exp (sqrt (exp im))) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im)))) (cbrt (sqrt (exp im))) (pow (sqrt (exp im)) 3) (fabs (cbrt (exp im))) (sqrt (cbrt (exp im))) (sqrt (sqrt (exp im))) (sqrt (sqrt (exp im))) 1 (sqrt (exp im)) 1/2 (/ (cbrt im) 2) (/ (sqrt im) 2) (/ im 2) (sqrt (sqrt (exp im))) (sqrt (sqrt (exp im))) (+ (* 0.5 im) (+ (* 0.25 (pow im 2)) 0.5)) (* (exp im) (* 0.5 (cos re))) (* (exp im) (* 0.5 (cos re))) (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2))) (* 0.5 (+ (* (exp im) (cos re)) (/ (cos re) (exp im)))) (* 0.5 (+ (* (exp im) (cos re)) (/ (cos re) (exp im)))) (- 0.5 (+ (* 0.25 (pow re 2)) (* 0.5 im))) (* 0.5 (/ (cos re) (exp im))) (* 0.5 (/ (cos re) (exp im))) (+ (* 1/2 im) (+ (* 1/8 (pow im 2)) 1)) (sqrt (exp im)) (sqrt (exp im)) 4.723 * * * [progress]: adding candidates to table 5.026 * * [progress]: iteration 4 / 4 5.026 * * * [progress]: picking best candidate 5.031 * * * * [pick]: Picked # 5.031 * * * [progress]: localizing error 5.043 * * * [progress]: generating rewritten candidates 5.043 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 5.079 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 5.123 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 5.136 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 5.154 * * * [progress]: generating series expansions 5.154 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 5.154 * [approximate]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in (im re) around 0 5.154 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 5.154 * [taylor]: Taking taylor expansion of 0.5 in re 5.155 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 5.155 * [taylor]: Taking taylor expansion of (exp im) in re 5.155 * [taylor]: Taking taylor expansion of im in re 5.155 * [taylor]: Taking taylor expansion of (cos re) in re 5.155 * [taylor]: Taking taylor expansion of re in re 5.155 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in im 5.155 * [taylor]: Taking taylor expansion of 0.5 in im 5.155 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in im 5.155 * [taylor]: Taking taylor expansion of (exp im) in im 5.155 * [taylor]: Taking taylor expansion of im in im 5.155 * [taylor]: Taking taylor expansion of (cos re) in im 5.155 * [taylor]: Taking taylor expansion of re in im 5.155 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in im 5.155 * [taylor]: Taking taylor expansion of 0.5 in im 5.155 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in im 5.155 * [taylor]: Taking taylor expansion of (exp im) in im 5.155 * [taylor]: Taking taylor expansion of im in im 5.155 * [taylor]: Taking taylor expansion of (cos re) in im 5.155 * [taylor]: Taking taylor expansion of re in im 5.156 * [taylor]: Taking taylor expansion of (* 0.5 (cos re)) in re 5.156 * [taylor]: Taking taylor expansion of 0.5 in re 5.156 * [taylor]: Taking taylor expansion of (cos re) in re 5.156 * [taylor]: Taking taylor expansion of re in re 5.159 * [taylor]: Taking taylor expansion of (* 0.5 (cos re)) in re 5.159 * [taylor]: Taking taylor expansion of 0.5 in re 5.159 * [taylor]: Taking taylor expansion of (cos re) in re 5.159 * [taylor]: Taking taylor expansion of re in re 5.163 * [taylor]: Taking taylor expansion of (* 0.25 (cos re)) in re 5.163 * [taylor]: Taking taylor expansion of 0.25 in re 5.163 * [taylor]: Taking taylor expansion of (cos re) in re 5.163 * [taylor]: Taking taylor expansion of re in re 5.164 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in (im re) around 0 5.164 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 5.164 * [taylor]: Taking taylor expansion of 0.5 in re 5.164 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 5.164 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 5.164 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.164 * [taylor]: Taking taylor expansion of re in re 5.164 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 5.164 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.164 * [taylor]: Taking taylor expansion of im in re 5.164 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 5.164 * [taylor]: Taking taylor expansion of 0.5 in im 5.164 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 5.164 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 5.165 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.165 * [taylor]: Taking taylor expansion of re in im 5.165 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 5.165 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.165 * [taylor]: Taking taylor expansion of im in im 5.165 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 5.165 * [taylor]: Taking taylor expansion of 0.5 in im 5.165 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 5.165 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 5.165 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.165 * [taylor]: Taking taylor expansion of re in im 5.165 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 5.165 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.165 * [taylor]: Taking taylor expansion of im in im 5.166 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 5.166 * [taylor]: Taking taylor expansion of 0.5 in re 5.166 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 5.166 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 5.166 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.166 * [taylor]: Taking taylor expansion of re in re 5.166 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 5.166 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.166 * [taylor]: Taking taylor expansion of im in re 5.169 * [taylor]: Taking taylor expansion of 0 in re 5.173 * [taylor]: Taking taylor expansion of 0 in re 5.179 * [taylor]: Taking taylor expansion of 0 in re 5.179 * [approximate]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in (im re) around 0 5.179 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 5.179 * [taylor]: Taking taylor expansion of 0.5 in re 5.179 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 5.179 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 5.179 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.179 * [taylor]: Taking taylor expansion of -1 in re 5.179 * [taylor]: Taking taylor expansion of im in re 5.179 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 5.179 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.179 * [taylor]: Taking taylor expansion of -1 in re 5.179 * [taylor]: Taking taylor expansion of re in re 5.180 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 5.180 * [taylor]: Taking taylor expansion of 0.5 in im 5.180 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 5.180 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 5.180 * [taylor]: Taking taylor expansion of (/ -1 im) in im 5.180 * [taylor]: Taking taylor expansion of -1 in im 5.180 * [taylor]: Taking taylor expansion of im in im 5.180 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 5.180 * [taylor]: Taking taylor expansion of (/ -1 re) in im 5.180 * [taylor]: Taking taylor expansion of -1 in im 5.180 * [taylor]: Taking taylor expansion of re in im 5.180 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 5.180 * [taylor]: Taking taylor expansion of 0.5 in im 5.180 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 5.180 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 5.180 * [taylor]: Taking taylor expansion of (/ -1 im) in im 5.180 * [taylor]: Taking taylor expansion of -1 in im 5.180 * [taylor]: Taking taylor expansion of im in im 5.181 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 5.181 * [taylor]: Taking taylor expansion of (/ -1 re) in im 5.181 * [taylor]: Taking taylor expansion of -1 in im 5.181 * [taylor]: Taking taylor expansion of re in im 5.181 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 5.181 * [taylor]: Taking taylor expansion of 0.5 in re 5.181 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 5.181 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 5.182 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.182 * [taylor]: Taking taylor expansion of -1 in re 5.182 * [taylor]: Taking taylor expansion of im in re 5.182 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 5.182 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.182 * [taylor]: Taking taylor expansion of -1 in re 5.182 * [taylor]: Taking taylor expansion of re in re 5.184 * [taylor]: Taking taylor expansion of 0 in re 5.189 * [taylor]: Taking taylor expansion of 0 in re 5.194 * [taylor]: Taking taylor expansion of 0 in re 5.194 * * * * [progress]: [ 2 / 4 ] generating series at (2) 5.195 * [approximate]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in (re im) around 0 5.195 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in im 5.195 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in im 5.195 * [taylor]: Taking taylor expansion of 0.5 in im 5.195 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in im 5.195 * [taylor]: Taking taylor expansion of (exp im) in im 5.195 * [taylor]: Taking taylor expansion of im in im 5.195 * [taylor]: Taking taylor expansion of (cos re) in im 5.195 * [taylor]: Taking taylor expansion of re in im 5.195 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in im 5.195 * [taylor]: Taking taylor expansion of 0.5 in im 5.195 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in im 5.195 * [taylor]: Taking taylor expansion of (cos re) in im 5.195 * [taylor]: Taking taylor expansion of re in im 5.195 * [taylor]: Taking taylor expansion of (exp im) in im 5.195 * [taylor]: Taking taylor expansion of im in im 5.196 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in re 5.196 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 5.196 * [taylor]: Taking taylor expansion of 0.5 in re 5.196 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 5.196 * [taylor]: Taking taylor expansion of (exp im) in re 5.196 * [taylor]: Taking taylor expansion of im in re 5.196 * [taylor]: Taking taylor expansion of (cos re) in re 5.196 * [taylor]: Taking taylor expansion of re in re 5.196 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 5.196 * [taylor]: Taking taylor expansion of 0.5 in re 5.196 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 5.196 * [taylor]: Taking taylor expansion of (cos re) in re 5.196 * [taylor]: Taking taylor expansion of re in re 5.196 * [taylor]: Taking taylor expansion of (exp im) in re 5.196 * [taylor]: Taking taylor expansion of im in re 5.196 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in re 5.196 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 5.196 * [taylor]: Taking taylor expansion of 0.5 in re 5.196 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 5.196 * [taylor]: Taking taylor expansion of (exp im) in re 5.196 * [taylor]: Taking taylor expansion of im in re 5.196 * [taylor]: Taking taylor expansion of (cos re) in re 5.196 * [taylor]: Taking taylor expansion of re in re 5.196 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 5.196 * [taylor]: Taking taylor expansion of 0.5 in re 5.196 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 5.196 * [taylor]: Taking taylor expansion of (cos re) in re 5.196 * [taylor]: Taking taylor expansion of re in re 5.196 * [taylor]: Taking taylor expansion of (exp im) in re 5.196 * [taylor]: Taking taylor expansion of im in re 5.196 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (exp im))) (* 0.5 (exp im))) in im 5.196 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (exp im))) in im 5.196 * [taylor]: Taking taylor expansion of 0.5 in im 5.197 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 5.197 * [taylor]: Taking taylor expansion of (exp im) in im 5.197 * [taylor]: Taking taylor expansion of im in im 5.197 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 5.197 * [taylor]: Taking taylor expansion of 0.5 in im 5.197 * [taylor]: Taking taylor expansion of (exp im) in im 5.197 * [taylor]: Taking taylor expansion of im in im 5.200 * [taylor]: Taking taylor expansion of 0 in im 5.208 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (/ 1 (exp im))) (* 0.25 (exp im)))) in im 5.208 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ 1 (exp im))) (* 0.25 (exp im))) in im 5.208 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (exp im))) in im 5.208 * [taylor]: Taking taylor expansion of 0.25 in im 5.208 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 5.208 * [taylor]: Taking taylor expansion of (exp im) in im 5.208 * [taylor]: Taking taylor expansion of im in im 5.208 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 5.208 * [taylor]: Taking taylor expansion of 0.25 in im 5.208 * [taylor]: Taking taylor expansion of (exp im) in im 5.208 * [taylor]: Taking taylor expansion of im in im 5.215 * [approximate]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in (re im) around 0 5.215 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in im 5.215 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 5.215 * [taylor]: Taking taylor expansion of 0.5 in im 5.215 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 5.215 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 5.215 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.216 * [taylor]: Taking taylor expansion of re in im 5.216 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 5.216 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.216 * [taylor]: Taking taylor expansion of im in im 5.216 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 5.216 * [taylor]: Taking taylor expansion of 0.5 in im 5.216 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 5.216 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 5.216 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.216 * [taylor]: Taking taylor expansion of re in im 5.216 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 5.216 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.216 * [taylor]: Taking taylor expansion of im in im 5.217 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in re 5.217 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 5.217 * [taylor]: Taking taylor expansion of 0.5 in re 5.217 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 5.217 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 5.217 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.217 * [taylor]: Taking taylor expansion of re in re 5.217 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 5.217 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.222 * [taylor]: Taking taylor expansion of im in re 5.222 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 5.222 * [taylor]: Taking taylor expansion of 0.5 in re 5.222 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 5.222 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 5.222 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.222 * [taylor]: Taking taylor expansion of re in re 5.223 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 5.223 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.223 * [taylor]: Taking taylor expansion of im in re 5.223 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in re 5.223 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 5.223 * [taylor]: Taking taylor expansion of 0.5 in re 5.223 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 5.223 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 5.223 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.223 * [taylor]: Taking taylor expansion of re in re 5.223 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 5.223 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.223 * [taylor]: Taking taylor expansion of im in re 5.223 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 5.223 * [taylor]: Taking taylor expansion of 0.5 in re 5.223 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 5.223 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 5.223 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.223 * [taylor]: Taking taylor expansion of re in re 5.224 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 5.224 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.224 * [taylor]: Taking taylor expansion of im in re 5.224 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in im 5.224 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 5.224 * [taylor]: Taking taylor expansion of 0.5 in im 5.224 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 5.224 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 5.224 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.224 * [taylor]: Taking taylor expansion of re in im 5.224 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 5.224 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.225 * [taylor]: Taking taylor expansion of im in im 5.225 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 5.225 * [taylor]: Taking taylor expansion of 0.5 in im 5.225 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 5.225 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 5.225 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.225 * [taylor]: Taking taylor expansion of re in im 5.225 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 5.225 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.225 * [taylor]: Taking taylor expansion of im in im 5.229 * [taylor]: Taking taylor expansion of 0 in im 5.237 * [taylor]: Taking taylor expansion of 0 in im 5.248 * [taylor]: Taking taylor expansion of 0 in im 5.249 * [approximate]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in (re im) around 0 5.249 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in im 5.249 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 5.249 * [taylor]: Taking taylor expansion of 0.5 in im 5.249 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 5.249 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 5.249 * [taylor]: Taking taylor expansion of (/ -1 re) in im 5.249 * [taylor]: Taking taylor expansion of -1 in im 5.249 * [taylor]: Taking taylor expansion of re in im 5.249 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 5.249 * [taylor]: Taking taylor expansion of (/ -1 im) in im 5.249 * [taylor]: Taking taylor expansion of -1 in im 5.249 * [taylor]: Taking taylor expansion of im in im 5.250 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 5.250 * [taylor]: Taking taylor expansion of 0.5 in im 5.250 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 5.250 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 5.250 * [taylor]: Taking taylor expansion of (/ -1 im) in im 5.250 * [taylor]: Taking taylor expansion of -1 in im 5.250 * [taylor]: Taking taylor expansion of im in im 5.250 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 5.250 * [taylor]: Taking taylor expansion of (/ -1 re) in im 5.250 * [taylor]: Taking taylor expansion of -1 in im 5.250 * [taylor]: Taking taylor expansion of re in im 5.251 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in re 5.251 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 5.251 * [taylor]: Taking taylor expansion of 0.5 in re 5.251 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 5.251 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 5.251 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.251 * [taylor]: Taking taylor expansion of -1 in re 5.251 * [taylor]: Taking taylor expansion of re in re 5.251 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 5.251 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.251 * [taylor]: Taking taylor expansion of -1 in re 5.251 * [taylor]: Taking taylor expansion of im in re 5.251 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 5.251 * [taylor]: Taking taylor expansion of 0.5 in re 5.251 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 5.251 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 5.251 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.251 * [taylor]: Taking taylor expansion of -1 in re 5.251 * [taylor]: Taking taylor expansion of im in re 5.251 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 5.251 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.251 * [taylor]: Taking taylor expansion of -1 in re 5.251 * [taylor]: Taking taylor expansion of re in re 5.252 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in re 5.252 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 5.252 * [taylor]: Taking taylor expansion of 0.5 in re 5.252 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 5.252 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 5.252 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.252 * [taylor]: Taking taylor expansion of -1 in re 5.252 * [taylor]: Taking taylor expansion of re in re 5.252 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 5.252 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.252 * [taylor]: Taking taylor expansion of -1 in re 5.252 * [taylor]: Taking taylor expansion of im in re 5.252 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 5.252 * [taylor]: Taking taylor expansion of 0.5 in re 5.252 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 5.252 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 5.252 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.252 * [taylor]: Taking taylor expansion of -1 in re 5.252 * [taylor]: Taking taylor expansion of im in re 5.253 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 5.253 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.253 * [taylor]: Taking taylor expansion of -1 in re 5.253 * [taylor]: Taking taylor expansion of re in re 5.253 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in im 5.253 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 5.253 * [taylor]: Taking taylor expansion of 0.5 in im 5.253 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 5.253 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 5.253 * [taylor]: Taking taylor expansion of (/ -1 re) in im 5.254 * [taylor]: Taking taylor expansion of -1 in im 5.254 * [taylor]: Taking taylor expansion of re in im 5.254 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 5.254 * [taylor]: Taking taylor expansion of (/ -1 im) in im 5.254 * [taylor]: Taking taylor expansion of -1 in im 5.254 * [taylor]: Taking taylor expansion of im in im 5.254 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 5.254 * [taylor]: Taking taylor expansion of 0.5 in im 5.254 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 5.254 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 5.254 * [taylor]: Taking taylor expansion of (/ -1 im) in im 5.254 * [taylor]: Taking taylor expansion of -1 in im 5.255 * [taylor]: Taking taylor expansion of im in im 5.255 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 5.255 * [taylor]: Taking taylor expansion of (/ -1 re) in im 5.255 * [taylor]: Taking taylor expansion of -1 in im 5.255 * [taylor]: Taking taylor expansion of re in im 5.258 * [taylor]: Taking taylor expansion of 0 in im 5.266 * [taylor]: Taking taylor expansion of 0 in im 5.277 * [taylor]: Taking taylor expansion of 0 in im 5.278 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 5.278 * [approximate]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in (re im) around 0 5.278 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in im 5.278 * [taylor]: Taking taylor expansion of 0.5 in im 5.278 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in im 5.278 * [taylor]: Taking taylor expansion of (cos re) in im 5.278 * [taylor]: Taking taylor expansion of re in im 5.278 * [taylor]: Taking taylor expansion of (exp im) in im 5.278 * [taylor]: Taking taylor expansion of im in im 5.278 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 5.278 * [taylor]: Taking taylor expansion of 0.5 in re 5.278 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 5.278 * [taylor]: Taking taylor expansion of (cos re) in re 5.278 * [taylor]: Taking taylor expansion of re in re 5.278 * [taylor]: Taking taylor expansion of (exp im) in re 5.278 * [taylor]: Taking taylor expansion of im in re 5.278 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 5.278 * [taylor]: Taking taylor expansion of 0.5 in re 5.278 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 5.279 * [taylor]: Taking taylor expansion of (cos re) in re 5.279 * [taylor]: Taking taylor expansion of re in re 5.279 * [taylor]: Taking taylor expansion of (exp im) in re 5.279 * [taylor]: Taking taylor expansion of im in re 5.279 * [taylor]: Taking taylor expansion of (/ 0.5 (exp im)) in im 5.279 * [taylor]: Taking taylor expansion of 0.5 in im 5.279 * [taylor]: Taking taylor expansion of (exp im) in im 5.279 * [taylor]: Taking taylor expansion of im in im 5.280 * [taylor]: Taking taylor expansion of 0 in im 5.284 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (exp im)))) in im 5.284 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (exp im))) in im 5.284 * [taylor]: Taking taylor expansion of 0.25 in im 5.284 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 5.284 * [taylor]: Taking taylor expansion of (exp im) in im 5.284 * [taylor]: Taking taylor expansion of im in im 5.286 * [approximate]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in (re im) around 0 5.286 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 5.286 * [taylor]: Taking taylor expansion of 0.5 in im 5.286 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 5.286 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 5.286 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.286 * [taylor]: Taking taylor expansion of re in im 5.286 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 5.286 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.286 * [taylor]: Taking taylor expansion of im in im 5.287 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 5.287 * [taylor]: Taking taylor expansion of 0.5 in re 5.287 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 5.287 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 5.287 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.287 * [taylor]: Taking taylor expansion of re in re 5.288 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 5.288 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.288 * [taylor]: Taking taylor expansion of im in re 5.288 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 5.288 * [taylor]: Taking taylor expansion of 0.5 in re 5.288 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 5.288 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 5.288 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.288 * [taylor]: Taking taylor expansion of re in re 5.288 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 5.288 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.288 * [taylor]: Taking taylor expansion of im in re 5.288 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 5.288 * [taylor]: Taking taylor expansion of 0.5 in im 5.288 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 5.289 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 5.289 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.289 * [taylor]: Taking taylor expansion of re in im 5.289 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 5.289 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.289 * [taylor]: Taking taylor expansion of im in im 5.291 * [taylor]: Taking taylor expansion of 0 in im 5.294 * [taylor]: Taking taylor expansion of 0 in im 5.300 * [taylor]: Taking taylor expansion of 0 in im 5.300 * [approximate]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in (re im) around 0 5.300 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 5.300 * [taylor]: Taking taylor expansion of 0.5 in im 5.300 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 5.300 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 5.300 * [taylor]: Taking taylor expansion of (/ -1 re) in im 5.300 * [taylor]: Taking taylor expansion of -1 in im 5.300 * [taylor]: Taking taylor expansion of re in im 5.300 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 5.300 * [taylor]: Taking taylor expansion of (/ -1 im) in im 5.300 * [taylor]: Taking taylor expansion of -1 in im 5.300 * [taylor]: Taking taylor expansion of im in im 5.301 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 5.301 * [taylor]: Taking taylor expansion of 0.5 in re 5.301 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 5.301 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 5.301 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.301 * [taylor]: Taking taylor expansion of -1 in re 5.301 * [taylor]: Taking taylor expansion of re in re 5.301 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 5.302 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.302 * [taylor]: Taking taylor expansion of -1 in re 5.302 * [taylor]: Taking taylor expansion of im in re 5.302 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 5.302 * [taylor]: Taking taylor expansion of 0.5 in re 5.302 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 5.302 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 5.302 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.302 * [taylor]: Taking taylor expansion of -1 in re 5.302 * [taylor]: Taking taylor expansion of re in re 5.302 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 5.302 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.302 * [taylor]: Taking taylor expansion of -1 in re 5.302 * [taylor]: Taking taylor expansion of im in re 5.302 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 5.302 * [taylor]: Taking taylor expansion of 0.5 in im 5.302 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 5.303 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 5.303 * [taylor]: Taking taylor expansion of (/ -1 re) in im 5.303 * [taylor]: Taking taylor expansion of -1 in im 5.303 * [taylor]: Taking taylor expansion of re in im 5.303 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 5.303 * [taylor]: Taking taylor expansion of (/ -1 im) in im 5.303 * [taylor]: Taking taylor expansion of -1 in im 5.303 * [taylor]: Taking taylor expansion of im in im 5.305 * [taylor]: Taking taylor expansion of 0 in im 5.313 * [taylor]: Taking taylor expansion of 0 in im 5.318 * [taylor]: Taking taylor expansion of 0 in im 5.318 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 5.318 * [approximate]: Taking taylor expansion of (* 0.5 (* (sqrt (exp im)) (cos re))) in (im re) around 0 5.318 * [taylor]: Taking taylor expansion of (* 0.5 (* (sqrt (exp im)) (cos re))) in re 5.318 * [taylor]: Taking taylor expansion of 0.5 in re 5.318 * [taylor]: Taking taylor expansion of (* (sqrt (exp im)) (cos re)) in re 5.318 * [taylor]: Taking taylor expansion of (sqrt (exp im)) in re 5.318 * [taylor]: Taking taylor expansion of (exp im) in re 5.318 * [taylor]: Taking taylor expansion of im in re 5.319 * [taylor]: Taking taylor expansion of (cos re) in re 5.319 * [taylor]: Taking taylor expansion of re in re 5.319 * [taylor]: Taking taylor expansion of (* 0.5 (* (sqrt (exp im)) (cos re))) in im 5.319 * [taylor]: Taking taylor expansion of 0.5 in im 5.319 * [taylor]: Taking taylor expansion of (* (sqrt (exp im)) (cos re)) in im 5.319 * [taylor]: Taking taylor expansion of (sqrt (exp im)) in im 5.319 * [taylor]: Taking taylor expansion of (exp im) in im 5.319 * [taylor]: Taking taylor expansion of im in im 5.320 * [taylor]: Taking taylor expansion of (cos re) in im 5.320 * [taylor]: Taking taylor expansion of re in im 5.320 * [taylor]: Taking taylor expansion of (* 0.5 (* (sqrt (exp im)) (cos re))) in im 5.320 * [taylor]: Taking taylor expansion of 0.5 in im 5.320 * [taylor]: Taking taylor expansion of (* (sqrt (exp im)) (cos re)) in im 5.320 * [taylor]: Taking taylor expansion of (sqrt (exp im)) in im 5.320 * [taylor]: Taking taylor expansion of (exp im) in im 5.320 * [taylor]: Taking taylor expansion of im in im 5.321 * [taylor]: Taking taylor expansion of (cos re) in im 5.322 * [taylor]: Taking taylor expansion of re in im 5.322 * [taylor]: Taking taylor expansion of (* 0.5 (cos re)) in re 5.322 * [taylor]: Taking taylor expansion of 0.5 in re 5.322 * [taylor]: Taking taylor expansion of (cos re) in re 5.322 * [taylor]: Taking taylor expansion of re in re 5.324 * [taylor]: Taking taylor expansion of (* 0.25 (cos re)) in re 5.324 * [taylor]: Taking taylor expansion of 0.25 in re 5.324 * [taylor]: Taking taylor expansion of (cos re) in re 5.324 * [taylor]: Taking taylor expansion of re in re 5.329 * [taylor]: Taking taylor expansion of (* 0.0625 (cos re)) in re 5.329 * [taylor]: Taking taylor expansion of 0.0625 in re 5.329 * [taylor]: Taking taylor expansion of (cos re) in re 5.329 * [taylor]: Taking taylor expansion of re in re 5.330 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (sqrt (exp (/ 1 im))))) in (im re) around 0 5.330 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (sqrt (exp (/ 1 im))))) in re 5.330 * [taylor]: Taking taylor expansion of 0.5 in re 5.330 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (sqrt (exp (/ 1 im)))) in re 5.330 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 5.330 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.330 * [taylor]: Taking taylor expansion of re in re 5.330 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 im))) in re 5.330 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 5.330 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.330 * [taylor]: Taking taylor expansion of im in re 5.331 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (sqrt (exp (/ 1 im))))) in im 5.331 * [taylor]: Taking taylor expansion of 0.5 in im 5.331 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (sqrt (exp (/ 1 im)))) in im 5.331 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 5.331 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.331 * [taylor]: Taking taylor expansion of re in im 5.331 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 im))) in im 5.331 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 5.331 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.331 * [taylor]: Taking taylor expansion of im in im 5.332 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (sqrt (exp (/ 1 im))))) in im 5.332 * [taylor]: Taking taylor expansion of 0.5 in im 5.332 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (sqrt (exp (/ 1 im)))) in im 5.332 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 5.332 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.332 * [taylor]: Taking taylor expansion of re in im 5.332 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 im))) in im 5.332 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 5.332 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.332 * [taylor]: Taking taylor expansion of im in im 5.333 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (sqrt (exp (/ 1 im))))) in re 5.333 * [taylor]: Taking taylor expansion of 0.5 in re 5.333 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (sqrt (exp (/ 1 im)))) in re 5.333 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 5.333 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.333 * [taylor]: Taking taylor expansion of re in re 5.333 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 im))) in re 5.333 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 5.333 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.333 * [taylor]: Taking taylor expansion of im in re 5.336 * [taylor]: Taking taylor expansion of 0 in re 5.340 * [taylor]: Taking taylor expansion of 0 in re 5.347 * [taylor]: Taking taylor expansion of 0 in re 5.347 * [approximate]: Taking taylor expansion of (* 0.5 (* (sqrt (exp (/ -1 im))) (cos (/ -1 re)))) in (im re) around 0 5.347 * [taylor]: Taking taylor expansion of (* 0.5 (* (sqrt (exp (/ -1 im))) (cos (/ -1 re)))) in re 5.347 * [taylor]: Taking taylor expansion of 0.5 in re 5.347 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ -1 im))) (cos (/ -1 re))) in re 5.347 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 im))) in re 5.347 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 5.348 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.348 * [taylor]: Taking taylor expansion of -1 in re 5.348 * [taylor]: Taking taylor expansion of im in re 5.348 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 5.348 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.348 * [taylor]: Taking taylor expansion of -1 in re 5.348 * [taylor]: Taking taylor expansion of re in re 5.349 * [taylor]: Taking taylor expansion of (* 0.5 (* (sqrt (exp (/ -1 im))) (cos (/ -1 re)))) in im 5.349 * [taylor]: Taking taylor expansion of 0.5 in im 5.349 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ -1 im))) (cos (/ -1 re))) in im 5.349 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 im))) in im 5.349 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 5.349 * [taylor]: Taking taylor expansion of (/ -1 im) in im 5.349 * [taylor]: Taking taylor expansion of -1 in im 5.349 * [taylor]: Taking taylor expansion of im in im 5.349 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 5.349 * [taylor]: Taking taylor expansion of (/ -1 re) in im 5.349 * [taylor]: Taking taylor expansion of -1 in im 5.349 * [taylor]: Taking taylor expansion of re in im 5.350 * [taylor]: Taking taylor expansion of (* 0.5 (* (sqrt (exp (/ -1 im))) (cos (/ -1 re)))) in im 5.350 * [taylor]: Taking taylor expansion of 0.5 in im 5.350 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ -1 im))) (cos (/ -1 re))) in im 5.350 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 im))) in im 5.350 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 5.350 * [taylor]: Taking taylor expansion of (/ -1 im) in im 5.350 * [taylor]: Taking taylor expansion of -1 in im 5.350 * [taylor]: Taking taylor expansion of im in im 5.350 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 5.350 * [taylor]: Taking taylor expansion of (/ -1 re) in im 5.350 * [taylor]: Taking taylor expansion of -1 in im 5.350 * [taylor]: Taking taylor expansion of re in im 5.351 * [taylor]: Taking taylor expansion of (* 0.5 (* (sqrt (exp (/ -1 im))) (cos (/ -1 re)))) in re 5.351 * [taylor]: Taking taylor expansion of 0.5 in re 5.351 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ -1 im))) (cos (/ -1 re))) in re 5.351 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 im))) in re 5.351 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 5.351 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.351 * [taylor]: Taking taylor expansion of -1 in re 5.351 * [taylor]: Taking taylor expansion of im in re 5.352 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 5.352 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.352 * [taylor]: Taking taylor expansion of -1 in re 5.352 * [taylor]: Taking taylor expansion of re in re 5.354 * [taylor]: Taking taylor expansion of 0 in re 5.358 * [taylor]: Taking taylor expansion of 0 in re 5.365 * [taylor]: Taking taylor expansion of 0 in re 5.365 * * * [progress]: simplifying candidates 5.368 * [simplify]: Simplifying using # : (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re)))) (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re)))) (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re)))) (+ (log (sqrt (exp im))) (+ (log (sqrt (exp im))) (+ (log 0.5) (log (cos re))))) (+ (log (sqrt (exp im))) (+ (log (sqrt (exp im))) (log (* 0.5 (cos re))))) (+ (log (sqrt (exp im))) (log (* (sqrt (exp im)) (* 0.5 (cos re))))) (log (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re))))) (exp (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re))))) (* (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im))) (* (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im))) (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))))) (* (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im))) (* (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im))) (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))))) (* (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im))) (* (* (* (sqrt (exp im)) (* 0.5 (cos re))) (* (sqrt (exp im)) (* 0.5 (cos re)))) (* (sqrt (exp im)) (* 0.5 (cos re))))) (* (cbrt (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re))))) (cbrt (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re)))))) (cbrt (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re))))) (* (* (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re)))) (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re))))) (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re))))) (sqrt (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re))))) (sqrt (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re))))) (* (sqrt (exp im)) (sqrt (exp im))) (* (cbrt (sqrt (exp im))) (* (sqrt (exp im)) (* 0.5 (cos re)))) (* (sqrt (cbrt (exp im))) (* (sqrt (exp im)) (* 0.5 (cos re)))) (* (sqrt (sqrt (exp im))) (* (sqrt (exp im)) (* 0.5 (cos re)))) (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re)))) (* (sqrt (sqrt (exp im))) (* (sqrt (exp im)) (* 0.5 (cos re)))) (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re)))) (* (exp (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))) (exp (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re)))))) (log (+ (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re)))))) (exp (+ (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re)))))) (* (cbrt (+ (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re)))))) (cbrt (+ (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re))))))) (cbrt (+ (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re)))))) (* (* (+ (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re))))) (+ (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re)))))) (+ (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re)))))) (sqrt (+ (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re)))))) (sqrt (+ (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re)))))) (+ (pow (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) 3) (pow (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re)))) 3)) (+ (* (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))) (- (* (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re)))) (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re))))) (* (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re))))))) (- (* (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))) (* (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re)))) (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re)))))) (- (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (* (sqrt (exp im)) (* (sqrt (exp im)) (* 0.5 (cos re))))) (- (- (+ (log 0.5) (log (cos re))) (log (sqrt (exp im)))) (log (sqrt (exp im)))) (- (- (log (* 0.5 (cos re))) (log (sqrt (exp im)))) (log (sqrt (exp im)))) (- (log (/ (* 0.5 (cos re)) (sqrt (exp im)))) (log (sqrt (exp im)))) (log (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))) (exp (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))) (/ (/ (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im)))) (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im)))) (/ (/ (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im)))) (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im)))) (/ (* (* (/ (* 0.5 (cos re)) (sqrt (exp im))) (/ (* 0.5 (cos re)) (sqrt (exp im)))) (/ (* 0.5 (cos re)) (sqrt (exp im)))) (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im)))) (* (cbrt (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))) (cbrt (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))))) (cbrt (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))) (* (* (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))) (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))) (sqrt (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))) (sqrt (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))) (- (/ (* 0.5 (cos re)) (sqrt (exp im)))) (- (sqrt (exp im))) (/ (* (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im))))) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) (/ (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (cbrt (sqrt (exp im)))) (/ (* (cbrt (/ (* 0.5 (cos re)) (sqrt (exp im)))) (cbrt (/ (* 0.5 (cos re)) (sqrt (exp 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(pow (* (sqrt (exp im)) (* 0.5 (cos re))) 3) (pow (* (sqrt (exp im)) (* 0.5 (cos re))) 3) (* (cbrt (* (sqrt (exp im)) (* 0.5 (cos re)))) (cbrt (* (sqrt (exp im)) (* 0.5 (cos re))))) (cbrt (* (sqrt (exp im)) (* 0.5 (cos re)))) (pow (* (sqrt (exp im)) (* 0.5 (cos re))) 3) (sqrt (* (sqrt (exp im)) (* 0.5 (cos re)))) (sqrt (* (sqrt (exp im)) (* 0.5 (cos re)))) (* (sqrt (exp im)) 0.5) (* (cbrt (sqrt (exp im))) (* 0.5 (cos re))) (* (sqrt (cbrt (exp im))) (* 0.5 (cos re))) (* (sqrt (sqrt (exp im))) (* 0.5 (cos re))) (* (sqrt (exp im)) (* 0.5 (cos re))) (* (sqrt (sqrt (exp im))) (* 0.5 (cos re))) (* (sqrt (exp im)) (* 0.5 (cos re))) (+ (* 0.5 im) (+ (* 0.25 (pow im 2)) 0.5)) (* (exp im) (* 0.5 (cos re))) (* (exp im) (* 0.5 (cos re))) (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2))) (* 0.5 (+ (* (exp im) (cos re)) (/ (cos re) (exp im)))) (* 0.5 (+ (* (exp im) (cos re)) (/ (cos re) (exp im)))) (- 0.5 (+ (* 0.25 (pow re 2)) (* 0.5 im))) (* 0.5 (/ (cos re) (exp im))) (* 0.5 (/ (cos re) (exp im))) (+ (* 0.25 im) (+ (* 0.0625 (pow im 2)) 0.5)) (* (sqrt (exp im)) (* 0.5 (cos re))) (* (sqrt (exp im)) (* 0.5 (cos re))) 6.248 * * * [progress]: adding candidates to table 6.582 * [progress]: [Phase 3 of 3] Extracting. 6.582 * * [regime]: Finding splitpoints for: (# #) 6.582 * * * [regime-changes]: Trying 4 branch expressions: ((cos re) (* 0.5 (cos re)) im re) 6.582 * * * * [regimes]: Trying to branch on (cos re) from (# #) 6.597 * * * * [regimes]: Trying to branch on (* 0.5 (cos re)) from (# #) 6.615 * * * * [regimes]: Trying to branch on im from (# #) 6.628 * * * * [regimes]: Trying to branch on re from (# #) 6.642 * * * [regime]: Found split indices: #