23.673 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.089 * * * [progress]: [2/2] Setting up program. 0.092 * [progress]: [Phase 2 of 3] Improving. 0.092 * [simplify]: Simplifying using # : (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 0.093 * * [simplify]: iteration 0 : 10 enodes (cost 11 ) 0.095 * * [simplify]: iteration 1 : 23 enodes (cost 11 ) 0.099 * * [simplify]: iteration 2 : 56 enodes (cost 11 ) 0.107 * * [simplify]: iteration 3 : 82 enodes (cost 11 ) 0.133 * * [simplify]: iteration 4 : 184 enodes (cost 11 ) 0.163 * * [simplify]: iteration 5 : 250 enodes (cost 11 ) 0.200 * * [simplify]: iteration 6 : 322 enodes (cost 11 ) 0.303 * * [simplify]: iteration 7 : 561 enodes (cost 11 ) 0.447 * * [simplify]: iteration 8 : 677 enodes (cost 11 ) 0.547 * * [simplify]: iteration 9 : 713 enodes (cost 11 ) 0.696 * * [simplify]: iteration 10 : 839 enodes (cost 11 ) 0.832 * * [simplify]: iteration 11 : 856 enodes (cost 11 ) 0.961 * * [simplify]: iteration done : 856 enodes (cost 11 ) 0.962 * [simplify]: Simplified to: (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 0.962 * * [progress]: iteration 1 / 4 0.962 * * * [progress]: picking best candidate 0.964 * * * * [pick]: Picked # 0.964 * * * [progress]: localizing error 0.974 * * * [progress]: generating rewritten candidates 0.974 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.006 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 1.016 * * * [progress]: generating series expansions 1.016 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.016 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in (re im) around 0 1.016 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in im 1.016 * [taylor]: Taking taylor expansion of 0.5 in im 1.016 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in im 1.016 * [taylor]: Taking taylor expansion of (cos re) in im 1.016 * [taylor]: Taking taylor expansion of re in im 1.016 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 1.016 * [taylor]: Taking taylor expansion of (exp im) in im 1.016 * [taylor]: Taking taylor expansion of im in im 1.016 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.016 * [taylor]: Taking taylor expansion of (- im) in im 1.016 * [taylor]: Taking taylor expansion of im in im 1.017 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 1.017 * [taylor]: Taking taylor expansion of 0.5 in re 1.017 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 1.017 * [taylor]: Taking taylor expansion of (cos re) in re 1.017 * [taylor]: Taking taylor expansion of re in re 1.017 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 1.017 * [taylor]: Taking taylor expansion of (exp im) in re 1.017 * [taylor]: Taking taylor expansion of im in re 1.017 * [taylor]: Taking taylor expansion of (exp (- im)) in re 1.017 * [taylor]: Taking taylor expansion of (- im) in re 1.017 * [taylor]: Taking taylor expansion of im in re 1.017 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 1.017 * [taylor]: Taking taylor expansion of 0.5 in re 1.017 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 1.017 * [taylor]: Taking taylor expansion of (cos re) in re 1.017 * [taylor]: Taking taylor expansion of re in re 1.017 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 1.018 * [taylor]: Taking taylor expansion of (exp im) in re 1.018 * [taylor]: Taking taylor expansion of im in re 1.018 * [taylor]: Taking taylor expansion of (exp (- im)) in re 1.018 * [taylor]: Taking taylor expansion of (- im) in re 1.018 * [taylor]: Taking taylor expansion of im in re 1.018 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im 1.018 * [taylor]: Taking taylor expansion of 0.5 in im 1.018 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 1.018 * [taylor]: Taking taylor expansion of (exp im) in im 1.018 * [taylor]: Taking taylor expansion of im in im 1.018 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.018 * [taylor]: Taking taylor expansion of (- im) in im 1.018 * [taylor]: Taking taylor expansion of im in im 1.022 * [taylor]: Taking taylor expansion of 0 in im 1.028 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) in im 1.028 * [taylor]: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) in im 1.028 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 1.028 * [taylor]: Taking taylor expansion of 0.25 in im 1.028 * [taylor]: Taking taylor expansion of (exp im) in im 1.028 * [taylor]: Taking taylor expansion of im in im 1.028 * [taylor]: Taking taylor expansion of (* 0.25 (exp (- im))) in im 1.028 * [taylor]: Taking taylor expansion of 0.25 in im 1.028 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.028 * [taylor]: Taking taylor expansion of (- im) in im 1.028 * [taylor]: Taking taylor expansion of im in im 1.034 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in (re im) around 0 1.034 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 1.034 * [taylor]: Taking taylor expansion of 0.5 in im 1.034 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 1.034 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.035 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.035 * [taylor]: Taking taylor expansion of re in im 1.035 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.035 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.035 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.035 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.035 * [taylor]: Taking taylor expansion of im in im 1.035 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.035 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.035 * [taylor]: Taking taylor expansion of im in im 1.036 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 1.036 * [taylor]: Taking taylor expansion of 0.5 in re 1.036 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 1.036 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.036 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.036 * [taylor]: Taking taylor expansion of re in re 1.036 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 1.036 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 1.036 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 1.036 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.036 * [taylor]: Taking taylor expansion of im in re 1.036 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.036 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.036 * [taylor]: Taking taylor expansion of im in re 1.036 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 1.036 * [taylor]: Taking taylor expansion of 0.5 in re 1.036 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 1.036 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.036 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.036 * [taylor]: Taking taylor expansion of re in re 1.037 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 1.037 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 1.037 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 1.037 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.037 * [taylor]: Taking taylor expansion of im in re 1.037 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.037 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.037 * [taylor]: Taking taylor expansion of im in re 1.037 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 1.037 * [taylor]: Taking taylor expansion of 0.5 in im 1.037 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 1.038 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.038 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.038 * [taylor]: Taking taylor expansion of re in im 1.038 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.038 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.038 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.038 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.038 * [taylor]: Taking taylor expansion of im in im 1.038 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.038 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.038 * [taylor]: Taking taylor expansion of im in im 1.042 * [taylor]: Taking taylor expansion of 0 in im 1.049 * [taylor]: Taking taylor expansion of 0 in im 1.057 * [taylor]: Taking taylor expansion of 0 in im 1.057 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in (re im) around 0 1.057 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 1.057 * [taylor]: Taking taylor expansion of 0.5 in im 1.057 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 1.057 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.057 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.057 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.057 * [taylor]: Taking taylor expansion of -1 in im 1.057 * [taylor]: Taking taylor expansion of im in im 1.058 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.058 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.058 * [taylor]: Taking taylor expansion of im in im 1.058 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.058 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.058 * [taylor]: Taking taylor expansion of -1 in im 1.058 * [taylor]: Taking taylor expansion of re in im 1.058 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 1.058 * [taylor]: Taking taylor expansion of 0.5 in re 1.058 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 1.058 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 1.058 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.058 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.058 * [taylor]: Taking taylor expansion of -1 in re 1.058 * [taylor]: Taking taylor expansion of im in re 1.058 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.058 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.058 * [taylor]: Taking taylor expansion of im in re 1.058 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.058 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.059 * [taylor]: Taking taylor expansion of -1 in re 1.059 * [taylor]: Taking taylor expansion of re in re 1.059 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 1.059 * [taylor]: Taking taylor expansion of 0.5 in re 1.059 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 1.059 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 1.059 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.059 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.059 * [taylor]: Taking taylor expansion of -1 in re 1.059 * [taylor]: Taking taylor expansion of im in re 1.059 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.059 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.059 * [taylor]: Taking taylor expansion of im in re 1.059 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.059 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.059 * [taylor]: Taking taylor expansion of -1 in re 1.059 * [taylor]: Taking taylor expansion of re in re 1.060 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 1.060 * [taylor]: Taking taylor expansion of 0.5 in im 1.060 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 1.060 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.060 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.060 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.060 * [taylor]: Taking taylor expansion of -1 in im 1.060 * [taylor]: Taking taylor expansion of im in im 1.060 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.060 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.060 * [taylor]: Taking taylor expansion of im in im 1.061 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.061 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.061 * [taylor]: Taking taylor expansion of -1 in im 1.061 * [taylor]: Taking taylor expansion of re in im 1.063 * [taylor]: Taking taylor expansion of 0 in im 1.069 * [taylor]: Taking taylor expansion of 0 in im 1.076 * [taylor]: Taking taylor expansion of 0 in im 1.076 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 1.076 * [approximate]: Taking taylor expansion of (+ (exp im) (exp (- im))) in (im) around 0 1.077 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 1.077 * [taylor]: Taking taylor expansion of (exp im) in im 1.077 * [taylor]: Taking taylor expansion of im in im 1.077 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.077 * [taylor]: Taking taylor expansion of (- im) in im 1.077 * [taylor]: Taking taylor expansion of im in im 1.077 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 1.077 * [taylor]: Taking taylor expansion of (exp im) in im 1.077 * [taylor]: Taking taylor expansion of im in im 1.077 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.077 * [taylor]: Taking taylor expansion of (- im) in im 1.077 * [taylor]: Taking taylor expansion of im in im 1.099 * [approximate]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in (im) around 0 1.099 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.099 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.099 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.099 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.099 * [taylor]: Taking taylor expansion of im in im 1.099 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.099 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.099 * [taylor]: Taking taylor expansion of im in im 1.100 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.100 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.100 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.100 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.100 * [taylor]: Taking taylor expansion of im in im 1.100 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.100 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.100 * [taylor]: Taking taylor expansion of im in im 1.103 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0 1.103 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.103 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.103 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.103 * [taylor]: Taking taylor expansion of -1 in im 1.103 * [taylor]: Taking taylor expansion of im in im 1.103 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.103 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.103 * [taylor]: Taking taylor expansion of im in im 1.103 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.103 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.103 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.103 * [taylor]: Taking taylor expansion of -1 in im 1.103 * [taylor]: Taking taylor expansion of im in im 1.104 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.104 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.104 * [taylor]: Taking taylor expansion of im in im 1.106 * * * [progress]: simplifying candidates 1.106 * [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)) 1.109 * * [simplify]: iteration 0 : 87 enodes (cost 548 ) 1.125 * * [simplify]: iteration 1 : 247 enodes (cost 530 ) 1.223 * * [simplify]: iteration 2 : 927 enodes (cost 441 ) 2.315 * * [simplify]: iteration 3 : 4088 enodes (cost 437 ) 3.583 * * [simplify]: iteration done : 5000 enodes (cost 437 ) 3.584 * [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)) (+ (exp (* im -3)) (pow (exp im) 3))) (* (* (- (exp (* im -2)) (exp (+ im im))) 0.5) (cos re)) (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))) (+ (exp (* im -3)) (pow (exp im) 3)) (+ (exp (* im -2)) (+ (exp (+ im im)) -1)) (- (exp (* im -2)) (exp (+ im im))) (- (exp (- im)) (exp im)) (+ (exp im) (exp (- im))) (+ 1.0 (* 0.5 (- (* im im) (pow re 2)))) (* 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))) 3.584 * * * [progress]: adding candidates to table 3.673 * * [progress]: iteration 2 / 4 3.674 * * * [progress]: picking best candidate 3.680 * * * * [pick]: Picked # 3.681 * * * [progress]: localizing error 3.690 * * * [progress]: generating rewritten candidates 3.690 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 3.694 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 3.705 * * * [progress]: generating series expansions 3.705 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 3.705 * [approximate]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in (re im) around 0 3.705 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in im 3.705 * [taylor]: Taking taylor expansion of 0.5 in im 3.706 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in im 3.706 * [taylor]: Taking taylor expansion of (cos re) in im 3.706 * [taylor]: Taking taylor expansion of re in im 3.706 * [taylor]: Taking taylor expansion of (exp im) in im 3.706 * [taylor]: Taking taylor expansion of im in im 3.706 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 3.706 * [taylor]: Taking taylor expansion of 0.5 in re 3.706 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 3.706 * [taylor]: Taking taylor expansion of (cos re) in re 3.706 * [taylor]: Taking taylor expansion of re in re 3.706 * [taylor]: Taking taylor expansion of (exp im) in re 3.706 * [taylor]: Taking taylor expansion of im in re 3.706 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 3.706 * [taylor]: Taking taylor expansion of 0.5 in re 3.706 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 3.706 * [taylor]: Taking taylor expansion of (cos re) in re 3.706 * [taylor]: Taking taylor expansion of re in re 3.706 * [taylor]: Taking taylor expansion of (exp im) in re 3.707 * [taylor]: Taking taylor expansion of im in re 3.707 * [taylor]: Taking taylor expansion of (/ 0.5 (exp im)) in im 3.707 * [taylor]: Taking taylor expansion of 0.5 in im 3.707 * [taylor]: Taking taylor expansion of (exp im) in im 3.707 * [taylor]: Taking taylor expansion of im in im 3.708 * [taylor]: Taking taylor expansion of 0 in im 3.713 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (exp im)))) in im 3.713 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (exp im))) in im 3.713 * [taylor]: Taking taylor expansion of 0.25 in im 3.713 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 3.713 * [taylor]: Taking taylor expansion of (exp im) in im 3.713 * [taylor]: Taking taylor expansion of im in im 3.715 * [approximate]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in (re im) around 0 3.715 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 3.715 * [taylor]: Taking taylor expansion of 0.5 in im 3.715 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 3.715 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 3.715 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.715 * [taylor]: Taking taylor expansion of re in im 3.715 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 3.715 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.715 * [taylor]: Taking taylor expansion of im in im 3.715 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 3.716 * [taylor]: Taking taylor expansion of 0.5 in re 3.716 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 3.716 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 3.716 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.716 * [taylor]: Taking taylor expansion of re in re 3.716 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 3.716 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.716 * [taylor]: Taking taylor expansion of im in re 3.716 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 3.716 * [taylor]: Taking taylor expansion of 0.5 in re 3.716 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 3.716 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 3.716 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.716 * [taylor]: Taking taylor expansion of re in re 3.716 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 3.716 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.717 * [taylor]: Taking taylor expansion of im in re 3.717 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 3.717 * [taylor]: Taking taylor expansion of 0.5 in im 3.717 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 3.717 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 3.717 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.717 * [taylor]: Taking taylor expansion of re in im 3.717 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 3.717 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.717 * [taylor]: Taking taylor expansion of im in im 3.719 * [taylor]: Taking taylor expansion of 0 in im 3.723 * [taylor]: Taking taylor expansion of 0 in im 3.728 * [taylor]: Taking taylor expansion of 0 in im 3.728 * [approximate]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in (re im) around 0 3.728 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 3.728 * [taylor]: Taking taylor expansion of 0.5 in im 3.728 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 3.728 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 3.728 * [taylor]: Taking taylor expansion of (/ -1 re) in im 3.728 * [taylor]: Taking taylor expansion of -1 in im 3.728 * [taylor]: Taking taylor expansion of re in im 3.729 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 3.729 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.729 * [taylor]: Taking taylor expansion of -1 in im 3.729 * [taylor]: Taking taylor expansion of im in im 3.729 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 3.730 * [taylor]: Taking taylor expansion of 0.5 in re 3.730 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 3.730 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 3.730 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.730 * [taylor]: Taking taylor expansion of -1 in re 3.730 * [taylor]: Taking taylor expansion of re in re 3.730 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 3.730 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.730 * [taylor]: Taking taylor expansion of -1 in re 3.730 * [taylor]: Taking taylor expansion of im in re 3.730 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 3.730 * [taylor]: Taking taylor expansion of 0.5 in re 3.730 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 3.730 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 3.730 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.730 * [taylor]: Taking taylor expansion of -1 in re 3.730 * [taylor]: Taking taylor expansion of re in re 3.731 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 3.731 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.731 * [taylor]: Taking taylor expansion of -1 in re 3.731 * [taylor]: Taking taylor expansion of im in re 3.731 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 3.731 * [taylor]: Taking taylor expansion of 0.5 in im 3.731 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 3.731 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 3.731 * [taylor]: Taking taylor expansion of (/ -1 re) in im 3.731 * [taylor]: Taking taylor expansion of -1 in im 3.731 * [taylor]: Taking taylor expansion of re in im 3.731 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 3.731 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.731 * [taylor]: Taking taylor expansion of -1 in im 3.731 * [taylor]: Taking taylor expansion of im in im 3.733 * [taylor]: Taking taylor expansion of 0 in im 3.737 * [taylor]: Taking taylor expansion of 0 in im 3.742 * [taylor]: Taking taylor expansion of 0 in im 3.743 * * * * [progress]: [ 2 / 2 ] generating series at (2) 3.743 * [approximate]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in (re im) around 0 3.743 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in im 3.743 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in im 3.743 * [taylor]: Taking taylor expansion of 0.5 in im 3.743 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in im 3.743 * [taylor]: Taking taylor expansion of (exp im) in im 3.743 * [taylor]: Taking taylor expansion of im in im 3.743 * [taylor]: Taking taylor expansion of (cos re) in im 3.743 * [taylor]: Taking taylor expansion of re in im 3.743 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in im 3.743 * [taylor]: Taking taylor expansion of 0.5 in im 3.743 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in im 3.743 * [taylor]: Taking taylor expansion of (cos re) in im 3.743 * [taylor]: Taking taylor expansion of re in im 3.743 * [taylor]: Taking taylor expansion of (exp im) in im 3.743 * [taylor]: Taking taylor expansion of im in im 3.744 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in re 3.744 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 3.744 * [taylor]: Taking taylor expansion of 0.5 in re 3.744 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 3.744 * [taylor]: Taking taylor expansion of (exp im) in re 3.744 * [taylor]: Taking taylor expansion of im in re 3.744 * [taylor]: Taking taylor expansion of (cos re) in re 3.744 * [taylor]: Taking taylor expansion of re in re 3.744 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 3.744 * [taylor]: Taking taylor expansion of 0.5 in re 3.744 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 3.744 * [taylor]: Taking taylor expansion of (cos re) in re 3.744 * [taylor]: Taking taylor expansion of re in re 3.744 * [taylor]: Taking taylor expansion of (exp im) in re 3.744 * [taylor]: Taking taylor expansion of im in re 3.744 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in re 3.744 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 3.744 * [taylor]: Taking taylor expansion of 0.5 in re 3.744 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 3.744 * [taylor]: Taking taylor expansion of (exp im) in re 3.744 * [taylor]: Taking taylor expansion of im in re 3.744 * [taylor]: Taking taylor expansion of (cos re) in re 3.744 * [taylor]: Taking taylor expansion of re in re 3.744 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 3.744 * [taylor]: Taking taylor expansion of 0.5 in re 3.744 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 3.744 * [taylor]: Taking taylor expansion of (cos re) in re 3.744 * [taylor]: Taking taylor expansion of re in re 3.744 * [taylor]: Taking taylor expansion of (exp im) in re 3.744 * [taylor]: Taking taylor expansion of im in re 3.744 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (exp im))) (* 0.5 (exp im))) in im 3.744 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (exp im))) in im 3.745 * [taylor]: Taking taylor expansion of 0.5 in im 3.745 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 3.745 * [taylor]: Taking taylor expansion of (exp im) in im 3.745 * [taylor]: Taking taylor expansion of im in im 3.745 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 3.745 * [taylor]: Taking taylor expansion of 0.5 in im 3.745 * [taylor]: Taking taylor expansion of (exp im) in im 3.745 * [taylor]: Taking taylor expansion of im in im 3.748 * [taylor]: Taking taylor expansion of 0 in im 3.756 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (/ 1 (exp im))) (* 0.25 (exp im)))) in im 3.756 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ 1 (exp im))) (* 0.25 (exp im))) in im 3.756 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (exp im))) in im 3.756 * [taylor]: Taking taylor expansion of 0.25 in im 3.756 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 3.756 * [taylor]: Taking taylor expansion of (exp im) in im 3.756 * [taylor]: Taking taylor expansion of im in im 3.757 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 3.757 * [taylor]: Taking taylor expansion of 0.25 in im 3.757 * [taylor]: Taking taylor expansion of (exp im) in im 3.757 * [taylor]: Taking taylor expansion of im in im 3.764 * [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 3.764 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in im 3.764 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 3.764 * [taylor]: Taking taylor expansion of 0.5 in im 3.764 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 3.764 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 3.764 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.764 * [taylor]: Taking taylor expansion of re in im 3.764 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 3.764 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.764 * [taylor]: Taking taylor expansion of im in im 3.764 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 3.764 * [taylor]: Taking taylor expansion of 0.5 in im 3.764 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 3.764 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 3.764 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.764 * [taylor]: Taking taylor expansion of re in im 3.764 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 3.764 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.764 * [taylor]: Taking taylor expansion of im in im 3.765 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in re 3.765 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 3.765 * [taylor]: Taking taylor expansion of 0.5 in re 3.765 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 3.765 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 3.765 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.765 * [taylor]: Taking taylor expansion of re in re 3.765 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 3.766 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.766 * [taylor]: Taking taylor expansion of im in re 3.766 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 3.766 * [taylor]: Taking taylor expansion of 0.5 in re 3.766 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 3.766 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 3.766 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.766 * [taylor]: Taking taylor expansion of re in re 3.770 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 3.770 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.770 * [taylor]: Taking taylor expansion of im in re 3.771 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in re 3.771 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 3.771 * [taylor]: Taking taylor expansion of 0.5 in re 3.771 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 3.771 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 3.771 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.771 * [taylor]: Taking taylor expansion of re in re 3.771 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 3.771 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.771 * [taylor]: Taking taylor expansion of im in re 3.771 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 3.771 * [taylor]: Taking taylor expansion of 0.5 in re 3.771 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 3.771 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 3.771 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.771 * [taylor]: Taking taylor expansion of re in re 3.772 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 3.772 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.772 * [taylor]: Taking taylor expansion of im in re 3.772 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in im 3.772 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 3.772 * [taylor]: Taking taylor expansion of 0.5 in im 3.772 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 3.772 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 3.772 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.772 * [taylor]: Taking taylor expansion of re in im 3.772 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 3.772 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.772 * [taylor]: Taking taylor expansion of im in im 3.773 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 3.773 * [taylor]: Taking taylor expansion of 0.5 in im 3.773 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 3.773 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 3.773 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.773 * [taylor]: Taking taylor expansion of re in im 3.773 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 3.773 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.773 * [taylor]: Taking taylor expansion of im in im 3.777 * [taylor]: Taking taylor expansion of 0 in im 3.785 * [taylor]: Taking taylor expansion of 0 in im 3.797 * [taylor]: Taking taylor expansion of 0 in im 3.797 * [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 3.797 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in im 3.797 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 3.797 * [taylor]: Taking taylor expansion of 0.5 in im 3.797 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 3.797 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 3.797 * [taylor]: Taking taylor expansion of (/ -1 re) in im 3.797 * [taylor]: Taking taylor expansion of -1 in im 3.797 * [taylor]: Taking taylor expansion of re in im 3.797 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 3.797 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.797 * [taylor]: Taking taylor expansion of -1 in im 3.797 * [taylor]: Taking taylor expansion of im in im 3.798 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 3.798 * [taylor]: Taking taylor expansion of 0.5 in im 3.798 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 3.798 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 3.798 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.798 * [taylor]: Taking taylor expansion of -1 in im 3.798 * [taylor]: Taking taylor expansion of im in im 3.799 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 3.799 * [taylor]: Taking taylor expansion of (/ -1 re) in im 3.799 * [taylor]: Taking taylor expansion of -1 in im 3.799 * [taylor]: Taking taylor expansion of re in im 3.799 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in re 3.799 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 3.799 * [taylor]: Taking taylor expansion of 0.5 in re 3.799 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 3.799 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 3.799 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.799 * [taylor]: Taking taylor expansion of -1 in re 3.799 * [taylor]: Taking taylor expansion of re in re 3.799 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 3.799 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.799 * [taylor]: Taking taylor expansion of -1 in re 3.799 * [taylor]: Taking taylor expansion of im in re 3.799 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 3.799 * [taylor]: Taking taylor expansion of 0.5 in re 3.799 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 3.799 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 3.799 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.799 * [taylor]: Taking taylor expansion of -1 in re 3.799 * [taylor]: Taking taylor expansion of im in re 3.800 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 3.800 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.800 * [taylor]: Taking taylor expansion of -1 in re 3.800 * [taylor]: Taking taylor expansion of re in re 3.800 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in re 3.800 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 3.800 * [taylor]: Taking taylor expansion of 0.5 in re 3.800 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 3.800 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 3.800 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.800 * [taylor]: Taking taylor expansion of -1 in re 3.800 * [taylor]: Taking taylor expansion of re in re 3.800 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 3.800 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.800 * [taylor]: Taking taylor expansion of -1 in re 3.800 * [taylor]: Taking taylor expansion of im in re 3.801 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 3.801 * [taylor]: Taking taylor expansion of 0.5 in re 3.801 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 3.801 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 3.801 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.801 * [taylor]: Taking taylor expansion of -1 in re 3.801 * [taylor]: Taking taylor expansion of im in re 3.801 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 3.801 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.801 * [taylor]: Taking taylor expansion of -1 in re 3.801 * [taylor]: Taking taylor expansion of re in re 3.802 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in im 3.802 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 3.802 * [taylor]: Taking taylor expansion of 0.5 in im 3.802 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 3.802 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 3.802 * [taylor]: Taking taylor expansion of (/ -1 re) in im 3.802 * [taylor]: Taking taylor expansion of -1 in im 3.802 * [taylor]: Taking taylor expansion of re in im 3.802 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 3.802 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.802 * [taylor]: Taking taylor expansion of -1 in im 3.802 * [taylor]: Taking taylor expansion of im in im 3.803 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 3.803 * [taylor]: Taking taylor expansion of 0.5 in im 3.803 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 3.803 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 3.803 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.803 * [taylor]: Taking taylor expansion of -1 in im 3.803 * [taylor]: Taking taylor expansion of im in im 3.803 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 3.803 * [taylor]: Taking taylor expansion of (/ -1 re) in im 3.803 * [taylor]: Taking taylor expansion of -1 in im 3.803 * [taylor]: Taking taylor expansion of re in im 3.806 * [taylor]: Taking taylor expansion of 0 in im 3.815 * [taylor]: Taking taylor expansion of 0 in im 3.826 * [taylor]: Taking taylor expansion of 0 in im 3.826 * * * [progress]: simplifying candidates 3.827 * [simplify]: Simplifying using # : (- (+ (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)) (* (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)))) (- 0.5 (+ (* 0.25 (pow re 2)) (* 0.5 im))) (* 0.5 (/ (cos re) (exp im))) (* 0.5 (/ (cos re) (exp im))) (- (+ (* 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)))) 3.829 * * [simplify]: iteration 0 : 87 enodes (cost 582 ) 3.851 * * [simplify]: iteration 1 : 238 enodes (cost 546 ) 3.909 * * [simplify]: iteration 2 : 846 enodes (cost 469 ) 4.693 * * [simplify]: iteration 3 : 4205 enodes (cost 446 ) 5.872 * * [simplify]: iteration done : 5000 enodes (cost 446 ) 5.872 * [simplify]: Simplified to: (- (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)) (exp (* (cos re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))) (log (* (cos re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))) (exp (* (cos re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))) (* (cbrt (* (cos re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))) (cbrt (* (cos re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))))) (cbrt (* (cos re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))) (pow (* (cos re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))) 3) (sqrt (* (cos re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))) (sqrt (* (cos re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im))))) (+ (pow (/ (* 0.5 (cos re)) (exp im)) 3) (pow (* (exp im) (* 0.5 (cos re))) 3)) (+ (* (exp im) (* (* 0.5 (cos re)) (* (cos re) (- (* 0.5 (exp im)) (/ 0.5 (exp im)))))) (/ (* (* 0.5 (cos re)) (* 0.5 (cos re))) (exp (+ im im)))) (* (* (cos re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))) (* (cos re) (- (/ 0.5 (exp im)) (* 0.5 (exp im))))) (* (cos re) (- (/ 0.5 (exp im)) (* 0.5 (exp im)))) (- 0.5 (+ (* 0.25 (pow re 2)) (* 0.5 im))) (/ (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im)) (+ (* 0.5 (- (pow im 2) (pow re 2))) 1.0) (* (cos re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))) (* (cos re) (+ (/ 0.5 (exp im)) (* 0.5 (exp im)))) 5.873 * * * [progress]: adding candidates to table 5.966 * * [progress]: iteration 3 / 4 5.966 * * * [progress]: picking best candidate 5.968 * * * * [pick]: Picked # 5.968 * * * [progress]: localizing error 5.981 * * * [progress]: generating rewritten candidates 5.981 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1) 5.986 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 6.006 * * * [progress]: generating series expansions 6.007 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1) 6.007 * [approximate]: Taking taylor expansion of (* 1/12 (pow im 4)) in (im) around 0 6.007 * [taylor]: Taking taylor expansion of (* 1/12 (pow im 4)) in im 6.007 * [taylor]: Taking taylor expansion of 1/12 in im 6.007 * [taylor]: Taking taylor expansion of (pow im 4) in im 6.007 * [taylor]: Taking taylor expansion of im in im 6.007 * [taylor]: Taking taylor expansion of (* 1/12 (pow im 4)) in im 6.007 * [taylor]: Taking taylor expansion of 1/12 in im 6.007 * [taylor]: Taking taylor expansion of (pow im 4) in im 6.007 * [taylor]: Taking taylor expansion of im in im 6.023 * [approximate]: Taking taylor expansion of (/ 1/12 (pow im 4)) in (im) around 0 6.023 * [taylor]: Taking taylor expansion of (/ 1/12 (pow im 4)) in im 6.023 * [taylor]: Taking taylor expansion of 1/12 in im 6.023 * [taylor]: Taking taylor expansion of (pow im 4) in im 6.023 * [taylor]: Taking taylor expansion of im in im 6.023 * [taylor]: Taking taylor expansion of (/ 1/12 (pow im 4)) in im 6.023 * [taylor]: Taking taylor expansion of 1/12 in im 6.023 * [taylor]: Taking taylor expansion of (pow im 4) in im 6.023 * [taylor]: Taking taylor expansion of im in im 6.035 * [approximate]: Taking taylor expansion of (/ 1/12 (pow im 4)) in (im) around 0 6.035 * [taylor]: Taking taylor expansion of (/ 1/12 (pow im 4)) in im 6.035 * [taylor]: Taking taylor expansion of 1/12 in im 6.035 * [taylor]: Taking taylor expansion of (pow im 4) in im 6.035 * [taylor]: Taking taylor expansion of im in im 6.035 * [taylor]: Taking taylor expansion of (/ 1/12 (pow im 4)) in im 6.035 * [taylor]: Taking taylor expansion of 1/12 in im 6.035 * [taylor]: Taking taylor expansion of (pow im 4) in im 6.035 * [taylor]: Taking taylor expansion of im in im 6.047 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 6.047 * [approximate]: Taking taylor expansion of (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) in (im) around 0 6.047 * [taylor]: Taking taylor expansion of (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) in im 6.047 * [taylor]: Taking taylor expansion of (* 1/12 (pow im 4)) in im 6.048 * [taylor]: Taking taylor expansion of 1/12 in im 6.048 * [taylor]: Taking taylor expansion of (pow im 4) in im 6.048 * [taylor]: Taking taylor expansion of im in im 6.048 * [taylor]: Taking taylor expansion of (+ (pow im 2) 2) in im 6.048 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.048 * [taylor]: Taking taylor expansion of im in im 6.048 * [taylor]: Taking taylor expansion of 2 in im 6.048 * [taylor]: Taking taylor expansion of (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) in im 6.048 * [taylor]: Taking taylor expansion of (* 1/12 (pow im 4)) in im 6.048 * [taylor]: Taking taylor expansion of 1/12 in im 6.048 * [taylor]: Taking taylor expansion of (pow im 4) in im 6.048 * [taylor]: Taking taylor expansion of im in im 6.048 * [taylor]: Taking taylor expansion of (+ (pow im 2) 2) in im 6.048 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.048 * [taylor]: Taking taylor expansion of im in im 6.048 * [taylor]: Taking taylor expansion of 2 in im 6.053 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (+ (* 1/12 (/ 1 (pow im 4))) 2)) in (im) around 0 6.053 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (+ (* 1/12 (/ 1 (pow im 4))) 2)) in im 6.053 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.053 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.053 * [taylor]: Taking taylor expansion of im in im 6.053 * [taylor]: Taking taylor expansion of (+ (* 1/12 (/ 1 (pow im 4))) 2) in im 6.053 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 (pow im 4))) in im 6.053 * [taylor]: Taking taylor expansion of 1/12 in im 6.053 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 6.053 * [taylor]: Taking taylor expansion of (pow im 4) in im 6.054 * [taylor]: Taking taylor expansion of im in im 6.054 * [taylor]: Taking taylor expansion of 2 in im 6.054 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (+ (* 1/12 (/ 1 (pow im 4))) 2)) in im 6.054 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.054 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.054 * [taylor]: Taking taylor expansion of im in im 6.055 * [taylor]: Taking taylor expansion of (+ (* 1/12 (/ 1 (pow im 4))) 2) in im 6.055 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 (pow im 4))) in im 6.055 * [taylor]: Taking taylor expansion of 1/12 in im 6.055 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 6.055 * [taylor]: Taking taylor expansion of (pow im 4) in im 6.055 * [taylor]: Taking taylor expansion of im in im 6.056 * [taylor]: Taking taylor expansion of 2 in im 6.068 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (+ (* 1/12 (/ 1 (pow im 4))) 2)) in (im) around 0 6.068 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (+ (* 1/12 (/ 1 (pow im 4))) 2)) in im 6.069 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.069 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.069 * [taylor]: Taking taylor expansion of im in im 6.069 * [taylor]: Taking taylor expansion of (+ (* 1/12 (/ 1 (pow im 4))) 2) in im 6.069 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 (pow im 4))) in im 6.069 * [taylor]: Taking taylor expansion of 1/12 in im 6.069 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 6.069 * [taylor]: Taking taylor expansion of (pow im 4) in im 6.069 * [taylor]: Taking taylor expansion of im in im 6.070 * [taylor]: Taking taylor expansion of 2 in im 6.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (+ (* 1/12 (/ 1 (pow im 4))) 2)) in im 6.070 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.070 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.070 * [taylor]: Taking taylor expansion of im in im 6.070 * [taylor]: Taking taylor expansion of (+ (* 1/12 (/ 1 (pow im 4))) 2) in im 6.070 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 (pow im 4))) in im 6.070 * [taylor]: Taking taylor expansion of 1/12 in im 6.070 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 6.070 * [taylor]: Taking taylor expansion of (pow im 4) in im 6.071 * [taylor]: Taking taylor expansion of im in im 6.071 * [taylor]: Taking taylor expansion of 2 in im 6.084 * * * [progress]: simplifying candidates 6.085 * [simplify]: Simplifying using # : (+ (log 1/12) (* (log im) 4)) (+ (log 1/12) (* (log im) 4)) (+ (log 1/12) (log (pow im 4))) (log (* 1/12 (pow im 4))) (exp (* 1/12 (pow im 4))) (* (* (* 1/12 1/12) 1/12) (* (* (pow im 4) (pow im 4)) (pow im 4))) (* (cbrt (* 1/12 (pow im 4))) (cbrt (* 1/12 (pow im 4)))) (cbrt (* 1/12 (pow im 4))) (* (* (* 1/12 (pow im 4)) (* 1/12 (pow im 4))) (* 1/12 (pow im 4))) (sqrt (* 1/12 (pow im 4))) (sqrt (* 1/12 (pow im 4))) (* (sqrt 1/12) (pow (sqrt im) 4)) (* (sqrt 1/12) (pow (sqrt im) 4)) (* (sqrt 1/12) (sqrt (pow im 4))) (* (sqrt 1/12) (sqrt (pow im 4))) (* (sqrt 1/12) (pow im (/ 4 2))) (* (sqrt 1/12) (pow im (/ 4 2))) (* 1/12 (pow (* (cbrt im) (cbrt im)) 4)) (* 1/12 (pow (sqrt im) 4)) (* 1/12 (pow 1 4)) (* 1/12 (* (cbrt (pow im 4)) (cbrt (pow im 4)))) (* 1/12 (sqrt (pow im 4))) (* 1/12 1) (* 1/12 (pow im (/ 4 2))) (* (cbrt 1/12) (pow im 4)) (* (sqrt 1/12) (pow im 4)) (* 1/12 (pow im 4)) (* (exp (* 1/12 (pow im 4))) (* (exp (pow im 2)) (exp 2))) (* (exp (* 1/12 (pow im 4))) (exp (+ (pow im 2) 2))) (log (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))) (exp (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))) (* (cbrt (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))) (cbrt (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))) (cbrt (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))) (* (* (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))) (sqrt (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))) (sqrt (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))) (+ (pow (* 1/12 (pow im 4)) 3) (pow (+ (pow im 2) 2) 3)) (+ (* (* 1/12 (pow im 4)) (* 1/12 (pow im 4))) (- (* (+ (pow im 2) 2) (+ (pow im 2) 2)) (* (* 1/12 (pow im 4)) (+ (pow im 2) 2)))) (- (* (* 1/12 (pow im 4)) (* 1/12 (pow im 4))) (* (+ (pow im 2) 2) (+ (pow im 2) 2))) (- (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (* 1/12 (pow im 4)) (pow im 2)) (* 1/12 (pow im 4)) (* 1/12 (pow im 4)) (* 1/12 (pow im 4)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) 6.087 * * [simplify]: iteration 0 : 77 enodes (cost 494 ) 6.112 * * [simplify]: iteration 1 : 196 enodes (cost 440 ) 6.156 * * [simplify]: iteration 2 : 555 enodes (cost 416 ) 6.641 * * [simplify]: iteration 3 : 2461 enodes (cost 413 ) 7.657 * * [simplify]: iteration done : 5000 enodes (cost 413 ) 7.657 * [simplify]: Simplified to: (log (* 1/12 (pow im 4))) (log (* 1/12 (pow im 4))) (log (* 1/12 (pow im 4))) (log (* 1/12 (pow im 4))) (exp (* 1/12 (pow im 4))) (* (pow (pow im 4) 3) 1/1728) (* (cbrt (* 1/12 (pow im 4))) (cbrt (* 1/12 (pow im 4)))) (cbrt (* 1/12 (pow im 4))) (* (pow (pow im 4) 3) 1/1728) (sqrt (* 1/12 (pow im 4))) (sqrt (* 1/12 (pow im 4))) (* (sqrt 1/12) (pow im 2)) (* (sqrt 1/12) (pow im 2)) (* (sqrt 1/12) (sqrt (pow im 4))) (* (sqrt 1/12) (sqrt (pow im 4))) (* (sqrt 1/12) (pow im 2)) (* (sqrt 1/12) (pow im 2)) (* 1/12 (pow (* (cbrt im) (cbrt im)) 4)) (* 1/12 (pow im 2)) 1/12 (* 1/12 (* (cbrt (pow im 4)) (cbrt (pow im 4)))) (* 1/12 (sqrt (pow im 4))) 1/12 (* 1/12 (pow im 2)) (* (cbrt 1/12) (pow im 4)) (* (sqrt 1/12) (pow im 4)) (* 1/12 (pow im 4)) (exp (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))) (exp (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))) (log (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))) (exp (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))) (* (cbrt (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))) (cbrt (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))) (cbrt (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))) (pow (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) 3) (sqrt (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))) (sqrt (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))) (+ (pow (* 1/12 (pow im 4)) 3) (pow (+ (pow im 2) 2) 3)) (+ (* 1/144 (pow im 8)) (* (+ (pow im 2) 2) (- (+ (pow im 2) 2) (* 1/12 (pow im 4))))) (- (* 1/144 (pow im 8)) (* (+ (pow im 2) 2) (+ (pow im 2) 2))) (- (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (* 1/12 (pow im 4)) (pow im 2)) (* 1/12 (pow im 4)) (* 1/12 (pow im 4)) (* 1/12 (pow im 4)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) 7.658 * * * [progress]: adding candidates to table 7.767 * [progress]: [Phase 3 of 3] Extracting. 7.767 * * [regime]: Finding splitpoints for: (# # #) 7.767 * * * [regime-changes]: Trying 6 branch expressions: ((+ (exp (- im)) (exp im)) (cos re) (* 0.5 (cos re)) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) im re) 7.767 * * * * [regimes]: Trying to branch on (+ (exp (- im)) (exp im)) from (# # #) 7.786 * * * * [regimes]: Trying to branch on (cos re) from (# # #) 7.804 * * * * [regimes]: Trying to branch on (* 0.5 (cos re)) from (# # #) 7.822 * * * * [regimes]: Trying to branch on (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) from (# # #) 7.848 * * * * [regimes]: Trying to branch on im from (# # #) 7.863 * * * * [regimes]: Trying to branch on re from (# # #) 7.880 * * * [regime]: Found split indices: #