9.720 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.061 * * * [progress]: [2/2] Setting up program. 0.064 * [progress]: [Phase 2 of 3] Improving. 0.064 * [simplify]: Simplifying using # : (- (* x (cos y)) (* z (sin y))) 0.066 * * [simplify]: iteration 0 : 13 enodes (cost 5 ) 0.068 * * [simplify]: iteration 1 : 21 enodes (cost 5 ) 0.069 * * [simplify]: iteration 2 : 25 enodes (cost 5 ) 0.070 * * [simplify]: iteration 3 : 25 enodes (cost 5 ) 0.070 * [simplify]: Simplified to: (- (* x (cos y)) (* z (sin y))) 0.070 * * [progress]: iteration 1 / 4 0.070 * * * [progress]: picking best candidate 0.072 * * * * [pick]: Picked # 0.072 * * * [progress]: localizing error 0.085 * * * [progress]: generating rewritten candidates 0.085 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.088 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.092 * * * [progress]: generating series expansions 0.092 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.093 * [approximate]: Taking taylor expansion of (* x (cos y)) in (x y) around 0 0.093 * [taylor]: Taking taylor expansion of (* x (cos y)) in y 0.093 * [taylor]: Taking taylor expansion of x in y 0.093 * [taylor]: Taking taylor expansion of (cos y) in y 0.093 * [taylor]: Taking taylor expansion of y in y 0.093 * [taylor]: Taking taylor expansion of (* x (cos y)) in x 0.093 * [taylor]: Taking taylor expansion of x in x 0.093 * [taylor]: Taking taylor expansion of (cos y) in x 0.093 * [taylor]: Taking taylor expansion of y in x 0.093 * [taylor]: Taking taylor expansion of (* x (cos y)) in x 0.093 * [taylor]: Taking taylor expansion of x in x 0.093 * [taylor]: Taking taylor expansion of (cos y) in x 0.093 * [taylor]: Taking taylor expansion of y in x 0.094 * [taylor]: Taking taylor expansion of 0 in y 0.096 * [taylor]: Taking taylor expansion of (cos y) in y 0.096 * [taylor]: Taking taylor expansion of y in y 0.098 * [taylor]: Taking taylor expansion of 0 in y 0.102 * [taylor]: Taking taylor expansion of 0 in y 0.102 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 y)) x) in (x y) around 0 0.102 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 y)) x) in y 0.102 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 0.102 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.102 * [taylor]: Taking taylor expansion of y in y 0.103 * [taylor]: Taking taylor expansion of x in y 0.103 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 y)) x) in x 0.103 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 0.103 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.103 * [taylor]: Taking taylor expansion of y in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.103 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 y)) x) in x 0.103 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 0.103 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.103 * [taylor]: Taking taylor expansion of y in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 0.104 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.104 * [taylor]: Taking taylor expansion of y in y 0.106 * [taylor]: Taking taylor expansion of 0 in y 0.110 * [taylor]: Taking taylor expansion of 0 in y 0.113 * [taylor]: Taking taylor expansion of 0 in y 0.114 * [approximate]: Taking taylor expansion of (* -1 (/ (cos (/ -1 y)) x)) in (x y) around 0 0.114 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1 y)) x)) in y 0.114 * [taylor]: Taking taylor expansion of -1 in y 0.114 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 y)) x) in y 0.114 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.114 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.114 * [taylor]: Taking taylor expansion of -1 in y 0.114 * [taylor]: Taking taylor expansion of y in y 0.114 * [taylor]: Taking taylor expansion of x in y 0.114 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1 y)) x)) in x 0.114 * [taylor]: Taking taylor expansion of -1 in x 0.114 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 y)) x) in x 0.114 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 0.114 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.114 * [taylor]: Taking taylor expansion of -1 in x 0.115 * [taylor]: Taking taylor expansion of y in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.115 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1 y)) x)) in x 0.115 * [taylor]: Taking taylor expansion of -1 in x 0.115 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 y)) x) in x 0.115 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 0.115 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.115 * [taylor]: Taking taylor expansion of -1 in x 0.115 * [taylor]: Taking taylor expansion of y in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.116 * [taylor]: Taking taylor expansion of (* -1 (cos (/ -1 y))) in y 0.116 * [taylor]: Taking taylor expansion of -1 in y 0.116 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.116 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.116 * [taylor]: Taking taylor expansion of -1 in y 0.116 * [taylor]: Taking taylor expansion of y in y 0.119 * [taylor]: Taking taylor expansion of 0 in y 0.123 * [taylor]: Taking taylor expansion of 0 in y 0.128 * [taylor]: Taking taylor expansion of 0 in y 0.128 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.128 * [approximate]: Taking taylor expansion of (* (sin y) z) in (z y) around 0 0.128 * [taylor]: Taking taylor expansion of (* (sin y) z) in y 0.128 * [taylor]: Taking taylor expansion of (sin y) in y 0.128 * [taylor]: Taking taylor expansion of y in y 0.128 * [taylor]: Taking taylor expansion of z in y 0.128 * [taylor]: Taking taylor expansion of (* (sin y) z) in z 0.128 * [taylor]: Taking taylor expansion of (sin y) in z 0.128 * [taylor]: Taking taylor expansion of y in z 0.128 * [taylor]: Taking taylor expansion of z in z 0.128 * [taylor]: Taking taylor expansion of (* (sin y) z) in z 0.128 * [taylor]: Taking taylor expansion of (sin y) in z 0.128 * [taylor]: Taking taylor expansion of y in z 0.128 * [taylor]: Taking taylor expansion of z in z 0.128 * [taylor]: Taking taylor expansion of 0 in y 0.130 * [taylor]: Taking taylor expansion of (sin y) in y 0.130 * [taylor]: Taking taylor expansion of y in y 0.132 * [taylor]: Taking taylor expansion of 0 in y 0.136 * [taylor]: Taking taylor expansion of 0 in y 0.140 * [taylor]: Taking taylor expansion of 0 in y 0.140 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 y)) z) in (z y) around 0 0.140 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 y)) z) in y 0.140 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.140 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.140 * [taylor]: Taking taylor expansion of y in y 0.140 * [taylor]: Taking taylor expansion of z in y 0.140 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 y)) z) in z 0.140 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in z 0.140 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.140 * [taylor]: Taking taylor expansion of y in z 0.140 * [taylor]: Taking taylor expansion of z in z 0.141 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 y)) z) in z 0.141 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in z 0.141 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.141 * [taylor]: Taking taylor expansion of y in z 0.141 * [taylor]: Taking taylor expansion of z in z 0.141 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.141 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.141 * [taylor]: Taking taylor expansion of y in y 0.143 * [taylor]: Taking taylor expansion of 0 in y 0.146 * [taylor]: Taking taylor expansion of 0 in y 0.150 * [taylor]: Taking taylor expansion of 0 in y 0.150 * [approximate]: Taking taylor expansion of (* -1 (/ (sin (/ -1 y)) z)) in (z y) around 0 0.150 * [taylor]: Taking taylor expansion of (* -1 (/ (sin (/ -1 y)) z)) in y 0.150 * [taylor]: Taking taylor expansion of -1 in y 0.150 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 y)) z) in y 0.150 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.150 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.150 * [taylor]: Taking taylor expansion of -1 in y 0.150 * [taylor]: Taking taylor expansion of y in y 0.150 * [taylor]: Taking taylor expansion of z in y 0.150 * [taylor]: Taking taylor expansion of (* -1 (/ (sin (/ -1 y)) z)) in z 0.150 * [taylor]: Taking taylor expansion of -1 in z 0.150 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 y)) z) in z 0.150 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in z 0.151 * [taylor]: Taking taylor expansion of (/ -1 y) in z 0.151 * [taylor]: Taking taylor expansion of -1 in z 0.151 * [taylor]: Taking taylor expansion of y in z 0.151 * [taylor]: Taking taylor expansion of z in z 0.151 * [taylor]: Taking taylor expansion of (* -1 (/ (sin (/ -1 y)) z)) in z 0.151 * [taylor]: Taking taylor expansion of -1 in z 0.151 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 y)) z) in z 0.151 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in z 0.151 * [taylor]: Taking taylor expansion of (/ -1 y) in z 0.151 * [taylor]: Taking taylor expansion of -1 in z 0.151 * [taylor]: Taking taylor expansion of y in z 0.151 * [taylor]: Taking taylor expansion of z in z 0.151 * [taylor]: Taking taylor expansion of (* -1 (sin (/ -1 y))) in y 0.151 * [taylor]: Taking taylor expansion of -1 in y 0.151 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.151 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.151 * [taylor]: Taking taylor expansion of -1 in y 0.151 * [taylor]: Taking taylor expansion of y in y 0.154 * [taylor]: Taking taylor expansion of 0 in y 0.158 * [taylor]: Taking taylor expansion of 0 in y 0.163 * [taylor]: Taking taylor expansion of 0 in y 0.163 * * * [progress]: simplifying candidates 0.167 * [simplify]: Simplifying using # : (expm1 (* x (cos y))) (log1p (* x (cos y))) (* x (cos y)) (+ (log x) (log (cos y))) (log (* x (cos y))) (exp (* x (cos y))) (* (* (* x x) x) (* (* (cos y) (cos y)) (cos y))) (* (cbrt (* x (cos y))) (cbrt (* x (cos y)))) (cbrt (* x (cos y))) (* (* (* x (cos y)) (* x (cos y))) (* x (cos y))) (sqrt (* x (cos y))) (sqrt (* x (cos y))) (* (sqrt x) (sqrt (cos y))) (* (sqrt x) (sqrt (cos y))) (* x (* (cbrt (cos y)) (cbrt (cos y)))) (* x (sqrt (cos y))) (* x 1) (* (cbrt x) (cos y)) (* (sqrt x) (cos y)) (* x (cos y)) (expm1 (* z (sin y))) (log1p (* z (sin y))) (* z (sin y)) (+ (log z) (log (sin y))) (log (* z (sin y))) (exp (* z (sin y))) (* (* (* z z) z) (* (* (sin y) (sin y)) (sin y))) (* (cbrt (* z (sin y))) (cbrt (* z (sin y)))) (cbrt (* z (sin y))) (* (* (* z (sin y)) (* z (sin y))) (* z (sin y))) (sqrt (* z (sin y))) (sqrt (* z (sin y))) (* (sqrt z) (sqrt (sin y))) (* (sqrt z) (sqrt (sin y))) (* z (* (cbrt (sin y)) (cbrt (sin y)))) (* z (sqrt (sin y))) (* z 1) (* (cbrt z) (sin y)) (* (sqrt z) (sin y)) (* z (sin y)) x (* x (cos y)) (* x (cos y)) (* z y) (* (sin y) z) (* (sin y) z) 0.172 * * [simplify]: iteration 0 : 122 enodes (cost 157 ) 0.177 * * [simplify]: iteration 1 : 443 enodes (cost 137 ) 0.188 * * [simplify]: iteration 2 : 1041 enodes (cost 137 ) 0.205 * * [simplify]: iteration 3 : 1583 enodes (cost 137 ) 0.225 * * [simplify]: iteration 4 : 3679 enodes (cost 137 ) 0.271 * * [simplify]: iteration 5 : 5001 enodes (cost 137 ) 0.272 * [simplify]: Simplified to: (expm1 (* x (cos y))) (log1p (* x (cos y))) (* x (cos y)) (log (* x (cos y))) (log (* x (cos y))) (exp (* x (cos y))) (pow (* x (cos y)) 3) (* (cbrt (* x (cos y))) (cbrt (* x (cos y)))) (cbrt (* x (cos y))) (pow (* x (cos y)) 3) (sqrt (* x (cos y))) (sqrt (* x (cos y))) (* (sqrt x) (sqrt (cos y))) (* (sqrt x) (sqrt (cos y))) (* x (* (cbrt (cos y)) (cbrt (cos y)))) (* x (sqrt (cos y))) x (* (cbrt x) (cos y)) (* (sqrt x) (cos y)) (* x (cos y)) (expm1 (* z (sin y))) (log1p (* z (sin y))) (* z (sin y)) (log (* z (sin y))) (log (* z (sin y))) (exp (* z (sin y))) (pow (* z (sin y)) 3) (* (cbrt (* z (sin y))) (cbrt (* z (sin y)))) (cbrt (* z (sin y))) (pow (* z (sin y)) 3) (sqrt (* z (sin y))) (sqrt (* z (sin y))) (* (sqrt z) (sqrt (sin y))) (* (sqrt z) (sqrt (sin y))) (* z (* (cbrt (sin y)) (cbrt (sin y)))) (* z (sqrt (sin y))) z (* (cbrt z) (sin y)) (* (sqrt z) (sin y)) (* z (sin y)) x (* x (cos y)) (* x (cos y)) (* z y) (* z (sin y)) (* z (sin y)) 0.272 * * * [progress]: adding candidates to table 0.365 * * [progress]: iteration 2 / 4 0.365 * * * [progress]: picking best candidate 0.387 * * * * [pick]: Picked # 0.388 * * * [progress]: localizing error 0.401 * * * [progress]: generating rewritten candidates 0.401 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 0.402 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 2) 0.402 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1) 0.403 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 0.411 * * * [progress]: generating series expansions 0.411 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 0.411 * [approximate]: Taking taylor expansion of (pow (cos y) 1/3) in (y) around 0 0.411 * [taylor]: Taking taylor expansion of (pow (cos y) 1/3) in y 0.411 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos y)))) in y 0.411 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos y))) in y 0.411 * [taylor]: Taking taylor expansion of 1/3 in y 0.412 * [taylor]: Taking taylor expansion of (log (cos y)) in y 0.412 * [taylor]: Taking taylor expansion of (cos y) in y 0.412 * [taylor]: Taking taylor expansion of y in y 0.416 * [taylor]: Taking taylor expansion of (pow (cos y) 1/3) in y 0.416 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos y)))) in y 0.416 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos y))) in y 0.416 * [taylor]: Taking taylor expansion of 1/3 in y 0.416 * [taylor]: Taking taylor expansion of (log (cos y)) in y 0.416 * [taylor]: Taking taylor expansion of (cos y) in y 0.416 * [taylor]: Taking taylor expansion of y in y 0.438 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in (y) around 0 0.438 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in y 0.438 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1 y))))) in y 0.438 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1 y)))) in y 0.438 * [taylor]: Taking taylor expansion of 1/3 in y 0.438 * [taylor]: Taking taylor expansion of (log (cos (/ 1 y))) in y 0.438 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 0.438 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.438 * [taylor]: Taking taylor expansion of y in y 0.439 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in y 0.439 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1 y))))) in y 0.439 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1 y)))) in y 0.439 * [taylor]: Taking taylor expansion of 1/3 in y 0.439 * [taylor]: Taking taylor expansion of (log (cos (/ 1 y))) in y 0.439 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 0.439 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.439 * [taylor]: Taking taylor expansion of y in y 0.475 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in (y) around 0 0.476 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in y 0.476 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1 y))))) in y 0.476 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1 y)))) in y 0.476 * [taylor]: Taking taylor expansion of 1/3 in y 0.476 * [taylor]: Taking taylor expansion of (log (cos (/ -1 y))) in y 0.476 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.476 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.476 * [taylor]: Taking taylor expansion of -1 in y 0.476 * [taylor]: Taking taylor expansion of y in y 0.476 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in y 0.476 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1 y))))) in y 0.476 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1 y)))) in y 0.476 * [taylor]: Taking taylor expansion of 1/3 in y 0.476 * [taylor]: Taking taylor expansion of (log (cos (/ -1 y))) in y 0.476 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.476 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.476 * [taylor]: Taking taylor expansion of -1 in y 0.476 * [taylor]: Taking taylor expansion of y in y 0.509 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 2) 0.509 * [approximate]: Taking taylor expansion of (pow (cos y) 1/3) in (y) around 0 0.509 * [taylor]: Taking taylor expansion of (pow (cos y) 1/3) in y 0.509 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos y)))) in y 0.509 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos y))) in y 0.509 * [taylor]: Taking taylor expansion of 1/3 in y 0.509 * [taylor]: Taking taylor expansion of (log (cos y)) in y 0.509 * [taylor]: Taking taylor expansion of (cos y) in y 0.509 * [taylor]: Taking taylor expansion of y in y 0.513 * [taylor]: Taking taylor expansion of (pow (cos y) 1/3) in y 0.513 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos y)))) in y 0.513 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos y))) in y 0.513 * [taylor]: Taking taylor expansion of 1/3 in y 0.513 * [taylor]: Taking taylor expansion of (log (cos y)) in y 0.513 * [taylor]: Taking taylor expansion of (cos y) in y 0.513 * [taylor]: Taking taylor expansion of y in y 0.537 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in (y) around 0 0.537 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in y 0.537 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1 y))))) in y 0.537 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1 y)))) in y 0.537 * [taylor]: Taking taylor expansion of 1/3 in y 0.537 * [taylor]: Taking taylor expansion of (log (cos (/ 1 y))) in y 0.537 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 0.537 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.537 * [taylor]: Taking taylor expansion of y in y 0.538 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in y 0.538 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1 y))))) in y 0.538 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1 y)))) in y 0.538 * [taylor]: Taking taylor expansion of 1/3 in y 0.538 * [taylor]: Taking taylor expansion of (log (cos (/ 1 y))) in y 0.538 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 0.538 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.538 * [taylor]: Taking taylor expansion of y in y 0.570 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in (y) around 0 0.570 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in y 0.570 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1 y))))) in y 0.570 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1 y)))) in y 0.570 * [taylor]: Taking taylor expansion of 1/3 in y 0.570 * [taylor]: Taking taylor expansion of (log (cos (/ -1 y))) in y 0.570 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.570 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.570 * [taylor]: Taking taylor expansion of -1 in y 0.570 * [taylor]: Taking taylor expansion of y in y 0.570 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in y 0.570 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1 y))))) in y 0.570 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1 y)))) in y 0.570 * [taylor]: Taking taylor expansion of 1/3 in y 0.570 * [taylor]: Taking taylor expansion of (log (cos (/ -1 y))) in y 0.570 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.570 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.570 * [taylor]: Taking taylor expansion of -1 in y 0.570 * [taylor]: Taking taylor expansion of y in y 0.602 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1) 0.602 * [approximate]: Taking taylor expansion of (pow (cos y) 1/3) in (y) around 0 0.602 * [taylor]: Taking taylor expansion of (pow (cos y) 1/3) in y 0.602 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos y)))) in y 0.602 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos y))) in y 0.602 * [taylor]: Taking taylor expansion of 1/3 in y 0.602 * [taylor]: Taking taylor expansion of (log (cos y)) in y 0.602 * [taylor]: Taking taylor expansion of (cos y) in y 0.602 * [taylor]: Taking taylor expansion of y in y 0.607 * [taylor]: Taking taylor expansion of (pow (cos y) 1/3) in y 0.607 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos y)))) in y 0.607 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos y))) in y 0.607 * [taylor]: Taking taylor expansion of 1/3 in y 0.607 * [taylor]: Taking taylor expansion of (log (cos y)) in y 0.607 * [taylor]: Taking taylor expansion of (cos y) in y 0.607 * [taylor]: Taking taylor expansion of y in y 0.634 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in (y) around 0 0.634 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in y 0.634 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1 y))))) in y 0.634 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1 y)))) in y 0.634 * [taylor]: Taking taylor expansion of 1/3 in y 0.634 * [taylor]: Taking taylor expansion of (log (cos (/ 1 y))) in y 0.634 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 0.634 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.634 * [taylor]: Taking taylor expansion of y in y 0.635 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in y 0.635 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1 y))))) in y 0.635 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1 y)))) in y 0.635 * [taylor]: Taking taylor expansion of 1/3 in y 0.635 * [taylor]: Taking taylor expansion of (log (cos (/ 1 y))) in y 0.635 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 0.635 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.635 * [taylor]: Taking taylor expansion of y in y 0.666 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in (y) around 0 0.666 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in y 0.666 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1 y))))) in y 0.666 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1 y)))) in y 0.666 * [taylor]: Taking taylor expansion of 1/3 in y 0.666 * [taylor]: Taking taylor expansion of (log (cos (/ -1 y))) in y 0.666 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.666 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.666 * [taylor]: Taking taylor expansion of -1 in y 0.666 * [taylor]: Taking taylor expansion of y in y 0.667 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in y 0.667 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1 y))))) in y 0.667 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1 y)))) in y 0.667 * [taylor]: Taking taylor expansion of 1/3 in y 0.667 * [taylor]: Taking taylor expansion of (log (cos (/ -1 y))) in y 0.667 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.667 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.667 * [taylor]: Taking taylor expansion of -1 in y 0.667 * [taylor]: Taking taylor expansion of y in y 0.705 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 0.705 * [approximate]: Taking taylor expansion of (pow (pow (cos y) 2) 1/3) in (y) around 0 0.705 * [taylor]: Taking taylor expansion of (pow (pow (cos y) 2) 1/3) in y 0.705 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cos y) 2)))) in y 0.705 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cos y) 2))) in y 0.705 * [taylor]: Taking taylor expansion of 1/3 in y 0.705 * [taylor]: Taking taylor expansion of (log (pow (cos y) 2)) in y 0.705 * [taylor]: Taking taylor expansion of (pow (cos y) 2) in y 0.705 * [taylor]: Taking taylor expansion of (cos y) in y 0.705 * [taylor]: Taking taylor expansion of y in y 0.711 * [taylor]: Taking taylor expansion of (pow (pow (cos y) 2) 1/3) in y 0.711 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cos y) 2)))) in y 0.711 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cos y) 2))) in y 0.711 * [taylor]: Taking taylor expansion of 1/3 in y 0.711 * [taylor]: Taking taylor expansion of (log (pow (cos y) 2)) in y 0.711 * [taylor]: Taking taylor expansion of (pow (cos y) 2) in y 0.711 * [taylor]: Taking taylor expansion of (cos y) in y 0.711 * [taylor]: Taking taylor expansion of y in y 0.780 * [approximate]: Taking taylor expansion of (pow (pow (cos (/ 1 y)) 2) 1/3) in (y) around 0 0.780 * [taylor]: Taking taylor expansion of (pow (pow (cos (/ 1 y)) 2) 1/3) in y 0.780 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (/ 1 y)) 2)))) in y 0.780 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cos (/ 1 y)) 2))) in y 0.780 * [taylor]: Taking taylor expansion of 1/3 in y 0.780 * [taylor]: Taking taylor expansion of (log (pow (cos (/ 1 y)) 2)) in y 0.780 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 2) in y 0.780 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 0.780 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.780 * [taylor]: Taking taylor expansion of y in y 0.781 * [taylor]: Taking taylor expansion of (pow (pow (cos (/ 1 y)) 2) 1/3) in y 0.781 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (/ 1 y)) 2)))) in y 0.781 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cos (/ 1 y)) 2))) in y 0.781 * [taylor]: Taking taylor expansion of 1/3 in y 0.781 * [taylor]: Taking taylor expansion of (log (pow (cos (/ 1 y)) 2)) in y 0.781 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 2) in y 0.781 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 0.781 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.781 * [taylor]: Taking taylor expansion of y in y 0.819 * [approximate]: Taking taylor expansion of (pow (pow (cos (/ -1 y)) 2) 1/3) in (y) around 0 0.819 * [taylor]: Taking taylor expansion of (pow (pow (cos (/ -1 y)) 2) 1/3) in y 0.819 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (/ -1 y)) 2)))) in y 0.819 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cos (/ -1 y)) 2))) in y 0.819 * [taylor]: Taking taylor expansion of 1/3 in y 0.819 * [taylor]: Taking taylor expansion of (log (pow (cos (/ -1 y)) 2)) in y 0.819 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 2) in y 0.819 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.819 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.819 * [taylor]: Taking taylor expansion of -1 in y 0.819 * [taylor]: Taking taylor expansion of y in y 0.820 * [taylor]: Taking taylor expansion of (pow (pow (cos (/ -1 y)) 2) 1/3) in y 0.820 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (/ -1 y)) 2)))) in y 0.820 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cos (/ -1 y)) 2))) in y 0.820 * [taylor]: Taking taylor expansion of 1/3 in y 0.820 * [taylor]: Taking taylor expansion of (log (pow (cos (/ -1 y)) 2)) in y 0.820 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 2) in y 0.820 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.820 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.820 * [taylor]: Taking taylor expansion of -1 in y 0.820 * [taylor]: Taking taylor expansion of y in y 0.864 * * * [progress]: simplifying candidates 0.865 * [simplify]: Simplifying using # : (expm1 (cbrt (cos y))) (log1p (cbrt (cos y))) (log (cbrt (cos y))) (exp (cbrt (cos y))) (cbrt (* (cbrt (cos y)) (cbrt (cos y)))) (cbrt (cbrt (cos y))) (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y))) (cbrt 1) (cbrt (cos y)) (* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y)))) (cbrt (cbrt (cos y))) (* (* (cbrt (cos y)) (cbrt (cos y))) (cbrt (cos y))) (sqrt (cbrt (cos y))) (sqrt (cbrt (cos y))) (expm1 (cbrt (cos y))) (log1p (cbrt (cos y))) (log (cbrt (cos y))) (exp (cbrt (cos y))) (cbrt (* (cbrt (cos y)) (cbrt (cos y)))) (cbrt (cbrt (cos y))) (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y))) (cbrt 1) (cbrt (cos y)) (* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y)))) (cbrt (cbrt (cos y))) (* (* (cbrt (cos y)) (cbrt (cos y))) (cbrt (cos y))) (sqrt (cbrt (cos y))) (sqrt (cbrt (cos y))) (expm1 (cbrt (cos y))) (log1p (cbrt (cos y))) (log (cbrt (cos y))) (exp (cbrt (cos y))) (cbrt (* (cbrt (cos y)) (cbrt (cos y)))) (cbrt (cbrt (cos y))) (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y))) (cbrt 1) (cbrt (cos y)) (* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y)))) (cbrt (cbrt (cos y))) (* (* (cbrt (cos y)) (cbrt (cos y))) (cbrt (cos y))) (sqrt (cbrt (cos y))) (sqrt (cbrt (cos y))) (expm1 (* (cbrt (cos y)) (cbrt (cos y)))) (log1p (* (cbrt (cos y)) (cbrt (cos y)))) (+ 1/3 1/3) (+ 1 1) (* (cos y) (cos y)) (* (cbrt (cos y)) (cbrt (cos y))) (+ 1 1) (+ (log (cbrt (cos y))) (log (cbrt (cos y)))) (log (* (cbrt (cos y)) (cbrt (cos y)))) (exp (* (cbrt (cos y)) (cbrt (cos y)))) (* (cos y) (cos y)) (* (cbrt (* (cbrt (cos y)) (cbrt (cos y)))) (cbrt (* (cbrt (cos y)) (cbrt (cos y))))) (cbrt (* (cbrt (cos y)) (cbrt (cos y)))) (* (* (* (cbrt (cos y)) (cbrt (cos y))) (* (cbrt (cos y)) (cbrt (cos y)))) (* (cbrt (cos y)) (cbrt (cos y)))) (sqrt (* (cbrt (cos y)) (cbrt (cos y)))) (sqrt (* (cbrt (cos y)) (cbrt (cos y)))) (* (cbrt (* (cbrt (cos y)) (cbrt (cos y)))) (cbrt (* (cbrt (cos y)) (cbrt (cos y))))) (* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y)))) (* (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y)))) (* (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y)))) (* (cbrt 1) (cbrt 1)) (* (cbrt (cos y)) (cbrt (cos y))) (* (* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y)))) (* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y))))) (* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y)))) (* (sqrt (cbrt (cos y))) (sqrt (cbrt (cos y)))) (* (sqrt (cbrt (cos y))) (sqrt (cbrt (cos y)))) (* 1 1) (* (cbrt (cos y)) (cbrt (cos y))) (* (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y)))) (* (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y)))) (* (cbrt (sqrt (cos y))) (sqrt (cbrt (cos y)))) (* (cbrt (sqrt (cos y))) (sqrt (cbrt (cos y)))) (* (sqrt (cbrt (cos y))) (cbrt (sqrt (cos y)))) (* (sqrt (cbrt (cos y))) (cbrt (sqrt (cos y)))) (* (sqrt (cbrt (cos y))) (sqrt (cbrt (cos y)))) (* (sqrt (cbrt (cos y))) (sqrt (cbrt (cos y)))) (* 2 1/3) (* 2 1) (* (cbrt (cos y)) (cbrt (* (cbrt (cos y)) (cbrt (cos y))))) (* (cbrt (cos y)) (cbrt (sqrt (cos y)))) (* (cbrt (cos y)) (cbrt 1)) (* (cbrt (cos y)) (* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y))))) (* (cbrt (cos y)) (sqrt (cbrt (cos y)))) (* (cbrt (cos y)) 1) (* (cbrt (cbrt (cos y))) (cbrt (cos y))) (* (cbrt (sqrt (cos y))) (cbrt (cos y))) (* (cbrt (cos y)) (cbrt (cos y))) (* (cbrt (cbrt (cos y))) (cbrt (cos y))) (* (sqrt (cbrt (cos y))) (cbrt (cos y))) (* (cbrt (cos y)) (cbrt (cos y))) (- 1 (+ (* 1/6 (pow y 2)) (* 1/72 (pow y 4)))) (pow (cos y) 1/3) (pow (cos y) 1/3) (- 1 (+ (* 1/6 (pow y 2)) (* 1/72 (pow y 4)))) (pow (cos y) 1/3) (pow (cos y) 1/3) (- 1 (+ (* 1/6 (pow y 2)) (* 1/72 (pow y 4)))) (pow (cos y) 1/3) (pow (cos y) 1/3) (- 1 (+ (* 1/3 (pow y 2)) (* 1/405 (pow y 6)))) (pow (pow (cos y) 2) 1/3) (pow (pow (cos y) 2) 1/3) 0.869 * * [simplify]: iteration 0 : 128 enodes (cost 471 ) 0.872 * * [simplify]: iteration 1 : 500 enodes (cost 419 ) 0.888 * * [simplify]: iteration 2 : 3232 enodes (cost 387 ) 0.965 * * [simplify]: iteration 3 : 5002 enodes (cost 381 ) 0.967 * [simplify]: Simplified to: (expm1 (cbrt (cos y))) (log1p (cbrt (cos y))) (log (cbrt (cos y))) (exp (cbrt (cos y))) (cbrt (* (cbrt (cos y)) (cbrt (cos y)))) (cbrt (cbrt (cos y))) (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y))) 1 (pow (cos y) 1/3) (* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y)))) (cbrt (cbrt (cos y))) (cos y) (sqrt (cbrt (cos y))) (sqrt (cbrt (cos y))) (expm1 (cbrt (cos y))) (log1p (cbrt (cos y))) (log (cbrt (cos y))) (exp (cbrt (cos y))) (cbrt (* (cbrt (cos y)) (cbrt (cos y)))) (cbrt (cbrt (cos y))) (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y))) 1 (pow (cos y) 1/3) (* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y)))) (cbrt (cbrt (cos y))) (cos y) (sqrt (cbrt (cos y))) (sqrt (cbrt (cos y))) (expm1 (cbrt (cos y))) (log1p (cbrt (cos y))) (log (cbrt (cos y))) (exp (cbrt (cos y))) (cbrt (* (cbrt (cos y)) (cbrt (cos y)))) (cbrt (cbrt (cos y))) (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y))) 1 (pow (cos y) 1/3) (* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y)))) (cbrt (cbrt (cos y))) (cos y) (sqrt (cbrt (cos y))) (sqrt (cbrt (cos y))) (expm1 (* (cbrt (cos y)) (cbrt (cos y)))) (log1p (* (cbrt (cos y)) (cbrt (cos y)))) 2/3 2 (pow (cos y) 2) (pow (cos y) 2/3) 2 (* 2/3 (log (cos y))) (* 2/3 (log (cos y))) (pow (exp 1) (pow (cos y) 2/3)) (pow (cos y) 2) (* (cbrt (* (cbrt (cos y)) (cbrt (cos y)))) (cbrt (* (cbrt (cos y)) (cbrt (cos y))))) (cbrt (* (cbrt (cos y)) (cbrt (cos y)))) (pow (cos y) 2) (fabs (pow (cos y) 1/3)) (fabs (pow (cos y) 1/3)) (* (cbrt (* (cbrt (cos y)) (cbrt (cos y)))) (cbrt (* (cbrt (cos y)) (cbrt (cos y))))) (* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y)))) (* (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y)))) (* (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y)))) 1 (pow (cos y) 2/3) (pow (cbrt (cbrt (cos y))) 4) (* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y)))) (pow (cos y) 1/3) (pow (cos y) 1/3) 1 (pow (cos y) 2/3) (* (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y)))) (* (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y)))) (* (cbrt (sqrt (cos y))) (sqrt (cbrt (cos y)))) (* (cbrt (sqrt (cos y))) (sqrt (cbrt (cos y)))) (* (cbrt (sqrt (cos y))) (sqrt (cbrt (cos y)))) (* (cbrt (sqrt (cos y))) (sqrt (cbrt (cos y)))) (pow (cos y) 1/3) (pow (cos y) 1/3) 2/3 2 (* (cbrt (cos y)) (cbrt (* (cbrt (cos y)) (cbrt (cos y))))) (* (cbrt (cos y)) (cbrt (sqrt (cos y)))) (pow (cos y) 1/3) (pow (cbrt (cbrt (cos y))) 5) (pow (sqrt (cbrt (cos y))) 3) (pow (cos y) 1/3) (pow (cbrt (cbrt (cos y))) 4) (* (cbrt (cos y)) (cbrt (sqrt (cos y)))) (pow (cos y) 2/3) (pow (cbrt (cbrt (cos y))) 4) (pow (sqrt (cbrt (cos y))) 3) (pow (cos y) 2/3) (- 1 (+ (* 1/6 (pow y 2)) (* 1/72 (pow y 4)))) (pow (cos y) 1/3) (pow (cos y) 1/3) (- 1 (+ (* 1/6 (pow y 2)) (* 1/72 (pow y 4)))) (pow (cos y) 1/3) (pow (cos y) 1/3) (- 1 (+ (* 1/6 (pow y 2)) (* 1/72 (pow y 4)))) (pow (cos y) 1/3) (pow (cos y) 1/3) (- 1 (+ (* 1/3 (pow y 2)) (* 1/405 (pow y 6)))) (pow (cos y) 2/3) (pow (cos y) 2/3) 0.967 * * * [progress]: adding candidates to table 1.220 * * [progress]: iteration 3 / 4 1.221 * * * [progress]: picking best candidate 1.243 * * * * [pick]: Picked # 1.243 * * * [progress]: localizing error 1.257 * * * [progress]: generating rewritten candidates 1.257 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2) 1.258 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 1.259 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1) 1.260 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.275 * * * [progress]: generating series expansions 1.275 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2) 1.275 * [approximate]: Taking taylor expansion of (pow (pow (cos y) 2) 1/3) in (y) around 0 1.275 * [taylor]: Taking taylor expansion of (pow (pow (cos y) 2) 1/3) in y 1.275 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cos y) 2)))) in y 1.275 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cos y) 2))) in y 1.275 * [taylor]: Taking taylor expansion of 1/3 in y 1.275 * [taylor]: Taking taylor expansion of (log (pow (cos y) 2)) in y 1.275 * [taylor]: Taking taylor expansion of (pow (cos y) 2) in y 1.275 * [taylor]: Taking taylor expansion of (cos y) in y 1.275 * [taylor]: Taking taylor expansion of y in y 1.281 * [taylor]: Taking taylor expansion of (pow (pow (cos y) 2) 1/3) in y 1.281 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cos y) 2)))) in y 1.281 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cos y) 2))) in y 1.281 * [taylor]: Taking taylor expansion of 1/3 in y 1.281 * [taylor]: Taking taylor expansion of (log (pow (cos y) 2)) in y 1.281 * [taylor]: Taking taylor expansion of (pow (cos y) 2) in y 1.281 * [taylor]: Taking taylor expansion of (cos y) in y 1.281 * [taylor]: Taking taylor expansion of y in y 1.346 * [approximate]: Taking taylor expansion of (pow (pow (cos (/ 1 y)) 2) 1/3) in (y) around 0 1.346 * [taylor]: Taking taylor expansion of (pow (pow (cos (/ 1 y)) 2) 1/3) in y 1.346 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (/ 1 y)) 2)))) in y 1.346 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cos (/ 1 y)) 2))) in y 1.346 * [taylor]: Taking taylor expansion of 1/3 in y 1.346 * [taylor]: Taking taylor expansion of (log (pow (cos (/ 1 y)) 2)) in y 1.346 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 2) in y 1.346 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 1.346 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.346 * [taylor]: Taking taylor expansion of y in y 1.347 * [taylor]: Taking taylor expansion of (pow (pow (cos (/ 1 y)) 2) 1/3) in y 1.347 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (/ 1 y)) 2)))) in y 1.347 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cos (/ 1 y)) 2))) in y 1.347 * [taylor]: Taking taylor expansion of 1/3 in y 1.347 * [taylor]: Taking taylor expansion of (log (pow (cos (/ 1 y)) 2)) in y 1.347 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 2) in y 1.347 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 1.347 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.347 * [taylor]: Taking taylor expansion of y in y 1.390 * [approximate]: Taking taylor expansion of (pow (pow (cos (/ -1 y)) 2) 1/3) in (y) around 0 1.390 * [taylor]: Taking taylor expansion of (pow (pow (cos (/ -1 y)) 2) 1/3) in y 1.390 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (/ -1 y)) 2)))) in y 1.390 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cos (/ -1 y)) 2))) in y 1.390 * [taylor]: Taking taylor expansion of 1/3 in y 1.390 * [taylor]: Taking taylor expansion of (log (pow (cos (/ -1 y)) 2)) in y 1.390 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 2) in y 1.390 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 1.390 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.390 * [taylor]: Taking taylor expansion of -1 in y 1.390 * [taylor]: Taking taylor expansion of y in y 1.391 * [taylor]: Taking taylor expansion of (pow (pow (cos (/ -1 y)) 2) 1/3) in y 1.391 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (/ -1 y)) 2)))) in y 1.391 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cos (/ -1 y)) 2))) in y 1.391 * [taylor]: Taking taylor expansion of 1/3 in y 1.391 * [taylor]: Taking taylor expansion of (log (pow (cos (/ -1 y)) 2)) in y 1.391 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 2) in y 1.391 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 1.391 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.391 * [taylor]: Taking taylor expansion of -1 in y 1.391 * [taylor]: Taking taylor expansion of y in y 1.428 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 1.428 * [approximate]: Taking taylor expansion of (pow (cos y) 1/3) in (y) around 0 1.428 * [taylor]: Taking taylor expansion of (pow (cos y) 1/3) in y 1.428 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos y)))) in y 1.428 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos y))) in y 1.428 * [taylor]: Taking taylor expansion of 1/3 in y 1.428 * [taylor]: Taking taylor expansion of (log (cos y)) in y 1.428 * [taylor]: Taking taylor expansion of (cos y) in y 1.428 * [taylor]: Taking taylor expansion of y in y 1.432 * [taylor]: Taking taylor expansion of (pow (cos y) 1/3) in y 1.432 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos y)))) in y 1.432 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos y))) in y 1.432 * [taylor]: Taking taylor expansion of 1/3 in y 1.433 * [taylor]: Taking taylor expansion of (log (cos y)) in y 1.433 * [taylor]: Taking taylor expansion of (cos y) in y 1.433 * [taylor]: Taking taylor expansion of y in y 1.459 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in (y) around 0 1.459 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in y 1.459 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1 y))))) in y 1.459 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1 y)))) in y 1.459 * [taylor]: Taking taylor expansion of 1/3 in y 1.459 * [taylor]: Taking taylor expansion of (log (cos (/ 1 y))) in y 1.459 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 1.459 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.459 * [taylor]: Taking taylor expansion of y in y 1.460 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in y 1.460 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1 y))))) in y 1.460 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1 y)))) in y 1.460 * [taylor]: Taking taylor expansion of 1/3 in y 1.460 * [taylor]: Taking taylor expansion of (log (cos (/ 1 y))) in y 1.460 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 1.460 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.460 * [taylor]: Taking taylor expansion of y in y 1.491 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in (y) around 0 1.491 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in y 1.491 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1 y))))) in y 1.491 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1 y)))) in y 1.491 * [taylor]: Taking taylor expansion of 1/3 in y 1.491 * [taylor]: Taking taylor expansion of (log (cos (/ -1 y))) in y 1.491 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 1.491 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.491 * [taylor]: Taking taylor expansion of -1 in y 1.491 * [taylor]: Taking taylor expansion of y in y 1.492 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in y 1.492 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1 y))))) in y 1.492 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1 y)))) in y 1.492 * [taylor]: Taking taylor expansion of 1/3 in y 1.492 * [taylor]: Taking taylor expansion of (log (cos (/ -1 y))) in y 1.492 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 1.492 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.492 * [taylor]: Taking taylor expansion of -1 in y 1.492 * [taylor]: Taking taylor expansion of y in y 1.529 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1) 1.530 * [approximate]: Taking taylor expansion of (pow (cos y) 2) in (y) around 0 1.530 * [taylor]: Taking taylor expansion of (pow (cos y) 2) in y 1.530 * [taylor]: Taking taylor expansion of (cos y) in y 1.530 * [taylor]: Taking taylor expansion of y in y 1.530 * [taylor]: Taking taylor expansion of (pow (cos y) 2) in y 1.530 * [taylor]: Taking taylor expansion of (cos y) in y 1.530 * [taylor]: Taking taylor expansion of y in y 1.535 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 y)) 2) in (y) around 0 1.535 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 2) in y 1.535 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 1.535 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.535 * [taylor]: Taking taylor expansion of y in y 1.536 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 2) in y 1.536 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 1.536 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.536 * [taylor]: Taking taylor expansion of y in y 1.540 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 y)) 2) in (y) around 0 1.540 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 2) in y 1.540 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 1.540 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.540 * [taylor]: Taking taylor expansion of -1 in y 1.540 * [taylor]: Taking taylor expansion of y in y 1.541 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 2) in y 1.541 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 1.541 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.541 * [taylor]: Taking taylor expansion of -1 in y 1.541 * [taylor]: Taking taylor expansion of y in y 1.545 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.545 * [approximate]: Taking taylor expansion of (* x (cos y)) in (x y) around 0 1.546 * [taylor]: Taking taylor expansion of (* x (cos y)) in y 1.546 * [taylor]: Taking taylor expansion of x in y 1.546 * [taylor]: Taking taylor expansion of (cos y) in y 1.546 * [taylor]: Taking taylor expansion of y in y 1.546 * [taylor]: Taking taylor expansion of (* x (cos y)) in x 1.546 * [taylor]: Taking taylor expansion of x in x 1.546 * [taylor]: Taking taylor expansion of (cos y) in x 1.546 * [taylor]: Taking taylor expansion of y in x 1.546 * [taylor]: Taking taylor expansion of (* x (cos y)) in x 1.546 * [taylor]: Taking taylor expansion of x in x 1.546 * [taylor]: Taking taylor expansion of (cos y) in x 1.546 * [taylor]: Taking taylor expansion of y in x 1.546 * [taylor]: Taking taylor expansion of 0 in y 1.548 * [taylor]: Taking taylor expansion of (cos y) in y 1.548 * [taylor]: Taking taylor expansion of y in y 1.551 * [taylor]: Taking taylor expansion of 0 in y 1.554 * [taylor]: Taking taylor expansion of 0 in y 1.555 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 y)) x) in (x y) around 0 1.555 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 y)) x) in y 1.555 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 1.555 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.555 * [taylor]: Taking taylor expansion of y in y 1.555 * [taylor]: Taking taylor expansion of x in y 1.555 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 y)) x) in x 1.555 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 1.555 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.555 * [taylor]: Taking taylor expansion of y in x 1.555 * [taylor]: Taking taylor expansion of x in x 1.556 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 y)) x) in x 1.556 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 1.556 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.556 * [taylor]: Taking taylor expansion of y in x 1.556 * [taylor]: Taking taylor expansion of x in x 1.556 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 1.556 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.556 * [taylor]: Taking taylor expansion of y in y 1.559 * [taylor]: Taking taylor expansion of 0 in y 1.562 * [taylor]: Taking taylor expansion of 0 in y 1.566 * [taylor]: Taking taylor expansion of 0 in y 1.566 * [approximate]: Taking taylor expansion of (* -1 (/ (cos (/ -1 y)) x)) in (x y) around 0 1.567 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1 y)) x)) in y 1.567 * [taylor]: Taking taylor expansion of -1 in y 1.567 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 y)) x) in y 1.567 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 1.567 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.567 * [taylor]: Taking taylor expansion of -1 in y 1.567 * [taylor]: Taking taylor expansion of y in y 1.567 * [taylor]: Taking taylor expansion of x in y 1.567 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1 y)) x)) in x 1.567 * [taylor]: Taking taylor expansion of -1 in x 1.567 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 y)) x) in x 1.567 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 1.567 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.567 * [taylor]: Taking taylor expansion of -1 in x 1.567 * [taylor]: Taking taylor expansion of y in x 1.567 * [taylor]: Taking taylor expansion of x in x 1.568 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1 y)) x)) in x 1.568 * [taylor]: Taking taylor expansion of -1 in x 1.568 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 y)) x) in x 1.568 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 1.568 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.568 * [taylor]: Taking taylor expansion of -1 in x 1.568 * [taylor]: Taking taylor expansion of y in x 1.568 * [taylor]: Taking taylor expansion of x in x 1.568 * [taylor]: Taking taylor expansion of (* -1 (cos (/ -1 y))) in y 1.568 * [taylor]: Taking taylor expansion of -1 in y 1.568 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 1.568 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.568 * [taylor]: Taking taylor expansion of -1 in y 1.568 * [taylor]: Taking taylor expansion of y in y 1.571 * [taylor]: Taking taylor expansion of 0 in y 1.575 * [taylor]: Taking taylor expansion of 0 in y 1.581 * [taylor]: Taking taylor expansion of 0 in y 1.581 * * * [progress]: simplifying candidates 1.582 * [simplify]: Simplifying using # : (expm1 (cbrt (pow (cos y) 2))) (log1p (cbrt (pow (cos y) 2))) (log (cbrt (pow (cos y) 2))) (exp (cbrt (pow (cos y) 2))) (cbrt (pow (* (cbrt (cos y)) (cbrt (cos y))) 2)) (cbrt (pow (cbrt (cos y)) 2)) (cbrt (pow (sqrt (cos y)) 2)) (cbrt (pow (sqrt (cos y)) 2)) (cbrt (pow 1 2)) (cbrt (pow (cos y) 2)) (cbrt (cos y)) (cbrt (cos y)) (cbrt (* (cbrt (pow (cos y) 2)) (cbrt (pow (cos y) 2)))) (cbrt (cbrt (pow (cos y) 2))) (cbrt (sqrt (pow (cos y) 2))) (cbrt (sqrt (pow (cos y) 2))) (cbrt 1) (cbrt (pow (cos y) 2)) (cbrt (pow (cos y) (/ 2 2))) (cbrt (pow (cos y) (/ 2 2))) (* (cbrt (cbrt (pow (cos y) 2))) (cbrt (cbrt (pow (cos y) 2)))) (cbrt (cbrt (pow (cos y) 2))) (* (* (cbrt (pow (cos y) 2)) (cbrt (pow (cos y) 2))) (cbrt (pow (cos y) 2))) (sqrt (cbrt (pow (cos y) 2))) (sqrt (cbrt (pow (cos y) 2))) (expm1 (cbrt (cos y))) (log1p (cbrt (cos y))) (log (cbrt (cos y))) (exp (cbrt (cos y))) (cbrt (* (cbrt (cos y)) (cbrt (cos y)))) (cbrt (cbrt (cos y))) (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y))) (cbrt 1) (cbrt (cos y)) (* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y)))) (cbrt (cbrt (cos y))) (* (* (cbrt (cos y)) (cbrt (cos y))) (cbrt (cos y))) (sqrt (cbrt (cos y))) (sqrt (cbrt (cos y))) (expm1 (pow (cos y) 2)) (log1p (pow (cos y) 2)) (* (log (cos y)) 2) (* (log (cos y)) 2) (* 1 2) (pow (cos y) (* (cbrt 2) (cbrt 2))) (pow (cos y) (sqrt 2)) (pow (cos y) 1) (pow (* (cbrt (cos y)) (cbrt (cos y))) 2) (pow (cbrt (cos y)) 2) (pow (sqrt (cos y)) 2) (pow (sqrt (cos y)) 2) (pow 1 2) (pow (cos y) 2) (log (pow (cos y) 2)) (exp (pow (cos y) 2)) (* (cbrt (pow (cos y) 2)) (cbrt (pow (cos y) 2))) (cbrt (pow (cos y) 2)) (* (* (pow (cos y) 2) (pow (cos y) 2)) (pow (cos y) 2)) (sqrt (pow (cos y) 2)) (sqrt (pow (cos y) 2)) (pow (cos y) (/ 2 2)) (pow (cos y) (/ 2 2)) (expm1 (* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))) (log1p (* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))) (* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y))) (* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y))) (+ (+ (log x) (log (cbrt (pow (cos y) 2)))) (log (cbrt (cos y)))) (+ (log (* x (cbrt (pow (cos y) 2)))) (log (cbrt (cos y)))) (log (* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))) (exp (* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))) (* (* (* (* x x) x) (pow (cos y) 2)) (cos y)) (* (* (* (* x (cbrt (pow (cos y) 2))) (* x (cbrt (pow (cos y) 2)))) (* x (cbrt (pow (cos y) 2)))) (cos y)) (* (cbrt (* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))) (cbrt (* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y))))) (cbrt (* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))) (* (* (* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y))) (* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))) (* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))) (sqrt (* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))) (sqrt (* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))) (* (* x (cbrt (pow (cos y) 2))) (cbrt (* (cbrt (cos y)) (cbrt (cos y))))) (* (* x (cbrt (pow (cos y) 2))) (cbrt (sqrt (cos y)))) (* (* x (cbrt (pow (cos y) 2))) (cbrt 1)) (* (* x (cbrt (pow (cos y) 2))) (* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y))))) (* (* x (cbrt (pow (cos y) 2))) (sqrt (cbrt (cos y)))) (* (* x (cbrt (pow (cos y) 2))) 1) (* (cbrt (pow (cos y) 2)) (cbrt (cos y))) (- 1 (+ (* 1/3 (pow y 2)) (* 1/405 (pow y 6)))) (pow (pow (cos y) 2) 1/3) (pow (pow (cos y) 2) 1/3) (- 1 (+ (* 1/6 (pow y 2)) (* 1/72 (pow y 4)))) (pow (cos y) 1/3) (pow (cos y) 1/3) (- (+ (* 1/3 (pow y 4)) 1) (pow y 2)) (pow (cos y) 2) (pow (cos y) 2) x (* x (cos y)) (* x (cos y)) 1.586 * * [simplify]: iteration 0 : 244 enodes (cost 457 ) 1.591 * * [simplify]: iteration 1 : 1097 enodes (cost 397 ) 1.617 * * [simplify]: iteration 2 : 5001 enodes (cost 378 ) 1.619 * [simplify]: Simplified to: (expm1 (cbrt (pow (cos y) 2))) (log1p (cbrt (pow (cos y) 2))) (* 2/3 (log (cos y))) (exp (cbrt (pow (cos y) 2))) (cbrt (pow (* (cbrt (cos y)) (cbrt (cos y))) 2)) (cbrt (pow (cbrt (cos y)) 2)) (pow (cos y) 1/3) (pow (cos y) 1/3) 1 (pow (pow (cos y) 2) 1/3) (pow (cos y) 1/3) (pow (cos y) 1/3) (cbrt (* (cbrt (pow (cos y) 2)) (cbrt (pow (cos y) 2)))) (cbrt (cbrt (pow (cos y) 2))) (cbrt (sqrt (pow (cos y) 2))) (cbrt (sqrt (pow (cos y) 2))) 1 (pow (pow (cos y) 2) 1/3) (pow (cos y) 1/3) (pow (cos y) 1/3) (* (cbrt (cbrt (pow (cos y) 2))) (cbrt (cbrt (pow (cos y) 2)))) (cbrt (cbrt (pow (cos y) 2))) (pow (cos y) 2) (sqrt (cbrt (pow (cos y) 2))) (sqrt (cbrt (pow (cos y) 2))) (expm1 (cbrt (cos y))) (log1p (cbrt (cos y))) (log (cbrt (cos y))) (exp (cbrt (cos y))) (cbrt (pow (cbrt (cos y)) 2)) (cbrt (cbrt (cos y))) (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y))) 1 (pow (cos y) 1/3) (* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y)))) (cbrt (cbrt (cos y))) (cos y) (sqrt (cbrt (cos y))) (sqrt (cbrt (cos y))) (expm1 (pow (cos y) 2)) (log1p (pow (cos y) 2)) (log (pow (cos y) 2)) (log (pow (cos y) 2)) 2 (pow (cos y) (* (cbrt 2) (cbrt 2))) (pow (cos y) (sqrt 2)) (cos y) (pow (cos y) 4/3) (pow (cos y) 2/3) (cos y) (cos y) 1 (pow (cos y) 2) (log (pow (cos y) 2)) (exp (pow (cos y) 2)) (pow (pow (cos y) 2) 2/3) (pow (pow (cos y) 2) 1/3) (pow (cos y) 6) (fabs (cos y)) (fabs (cos y)) (cos y) (cos y) (expm1 (* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))) (log1p (* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))) (* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y))) (* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y))) (log (* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))) (log (* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))) (log (* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))) (exp (* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))) (* (pow (cos y) 3) (pow x 3)) (* (pow (cos y) 3) (pow x 3)) (* (cbrt (* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))) (cbrt (* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y))))) (cbrt (* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))) (* (pow (cos y) 3) (pow x 3)) (sqrt (* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))) (sqrt (* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))) (* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (pow (cbrt (cos y)) 2))) (* (* x (cbrt (pow (cos y) 2))) (cbrt (sqrt (cos y)))) (* x (cbrt (pow (cos y) 2))) (* (* x (cbrt (pow (cos y) 2))) (* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y))))) (* (* x (cbrt (pow (cos y) 2))) (sqrt (cbrt (cos y)))) (* x (cbrt (pow (cos y) 2))) (* (cbrt (pow (cos y) 2)) (cbrt (cos y))) (- 1 (fma 1/3 (pow y 2) (* 1/405 (pow y 6)))) (pow (pow (cos y) 2) 1/3) (pow (pow (cos y) 2) 1/3) (- 1 (fma 1/6 (pow y 2) (* 1/72 (pow y 4)))) (pow (cos y) 1/3) (pow (cos y) 1/3) (fma (pow y 4) 1/3 (- 1 (pow y 2))) (pow (cos y) 2) (pow (cos y) 2) x (* x (cos y)) (* x (cos y)) 1.620 * * * [progress]: adding candidates to table 1.876 * * [progress]: iteration 4 / 4 1.876 * * * [progress]: picking best candidate 1.897 * * * * [pick]: Picked # 1.897 * * * [progress]: localizing error 1.916 * * * [progress]: generating rewritten candidates 1.916 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2) 1.916 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 1.917 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1 1 1) 1.918 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1) 1.919 * * * [progress]: generating series expansions 1.919 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2) 1.919 * [approximate]: Taking taylor expansion of (pow (expm1 (log1p (pow (cos y) 2))) 1/3) in (y) around 0 1.920 * [taylor]: Taking taylor expansion of (pow (expm1 (log1p (pow (cos y) 2))) 1/3) in y 1.920 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (expm1 (log1p (pow (cos y) 2)))))) in y 1.920 * [taylor]: Taking taylor expansion of (* 1/3 (log (expm1 (log1p (pow (cos y) 2))))) in y 1.920 * [taylor]: Taking taylor expansion of 1/3 in y 1.920 * [taylor]: Taking taylor expansion of (log (expm1 (log1p (pow (cos y) 2)))) in y 1.920 * [taylor]: Taking taylor expansion of (expm1 (log1p (pow (cos y) 2))) in y 1.920 * [taylor]: Rewrote expression to (- (exp (log1p (pow (cos y) 2))) 1) 1.920 * [taylor]: Taking taylor expansion of (exp (log1p (pow (cos y) 2))) in y 1.920 * [taylor]: Taking taylor expansion of (log1p (pow (cos y) 2)) in y 1.920 * [taylor]: Rewrote expression to (log (+ 1 (pow (cos y) 2))) 1.920 * [taylor]: Taking taylor expansion of (+ 1 (pow (cos y) 2)) in y 1.920 * [taylor]: Taking taylor expansion of 1 in y 1.920 * [taylor]: Taking taylor expansion of (pow (cos y) 2) in y 1.920 * [taylor]: Taking taylor expansion of (cos y) in y 1.920 * [taylor]: Taking taylor expansion of y in y 1.922 * [taylor]: Taking taylor expansion of 1 in y 1.938 * [taylor]: Taking taylor expansion of (pow (expm1 (log1p (pow (cos y) 2))) 1/3) in y 1.938 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (expm1 (log1p (pow (cos y) 2)))))) in y 1.938 * [taylor]: Taking taylor expansion of (* 1/3 (log (expm1 (log1p (pow (cos y) 2))))) in y 1.938 * [taylor]: Taking taylor expansion of 1/3 in y 1.938 * [taylor]: Taking taylor expansion of (log (expm1 (log1p (pow (cos y) 2)))) in y 1.938 * [taylor]: Taking taylor expansion of (expm1 (log1p (pow (cos y) 2))) in y 1.938 * [taylor]: Rewrote expression to (- (exp (log1p (pow (cos y) 2))) 1) 1.938 * [taylor]: Taking taylor expansion of (exp (log1p (pow (cos y) 2))) in y 1.938 * [taylor]: Taking taylor expansion of (log1p (pow (cos y) 2)) in y 1.938 * [taylor]: Rewrote expression to (log (+ 1 (pow (cos y) 2))) 1.938 * [taylor]: Taking taylor expansion of (+ 1 (pow (cos y) 2)) in y 1.938 * [taylor]: Taking taylor expansion of 1 in y 1.938 * [taylor]: Taking taylor expansion of (pow (cos y) 2) in y 1.938 * [taylor]: Taking taylor expansion of (cos y) in y 1.938 * [taylor]: Taking taylor expansion of y in y 1.939 * [taylor]: Taking taylor expansion of 1 in y 2.070 * [approximate]: Taking taylor expansion of (pow (expm1 (log1p (pow (cos (/ 1 y)) 2))) 1/3) in (y) around 0 2.071 * [taylor]: Taking taylor expansion of (pow (expm1 (log1p (pow (cos (/ 1 y)) 2))) 1/3) in y 2.071 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (expm1 (log1p (pow (cos (/ 1 y)) 2)))))) in y 2.071 * [taylor]: Taking taylor expansion of (* 1/3 (log (expm1 (log1p (pow (cos (/ 1 y)) 2))))) in y 2.071 * [taylor]: Taking taylor expansion of 1/3 in y 2.071 * [taylor]: Taking taylor expansion of (log (expm1 (log1p (pow (cos (/ 1 y)) 2)))) in y 2.071 * [taylor]: Taking taylor expansion of (expm1 (log1p (pow (cos (/ 1 y)) 2))) in y 2.071 * [taylor]: Rewrote expression to (- (exp (log1p (pow (cos (/ 1 y)) 2))) 1) 2.071 * [taylor]: Taking taylor expansion of (exp (log1p (pow (cos (/ 1 y)) 2))) in y 2.071 * [taylor]: Taking taylor expansion of (log1p (pow (cos (/ 1 y)) 2)) in y 2.071 * [taylor]: Rewrote expression to (log (+ 1 (pow (cos (/ 1 y)) 2))) 2.071 * [taylor]: Taking taylor expansion of (+ 1 (pow (cos (/ 1 y)) 2)) in y 2.071 * [taylor]: Taking taylor expansion of 1 in y 2.071 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 2) in y 2.071 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 2.071 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.071 * [taylor]: Taking taylor expansion of y in y 2.072 * [taylor]: Taking taylor expansion of 1 in y 2.078 * [taylor]: Taking taylor expansion of (pow (expm1 (log1p (pow (cos (/ 1 y)) 2))) 1/3) in y 2.078 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (expm1 (log1p (pow (cos (/ 1 y)) 2)))))) in y 2.078 * [taylor]: Taking taylor expansion of (* 1/3 (log (expm1 (log1p (pow (cos (/ 1 y)) 2))))) in y 2.078 * [taylor]: Taking taylor expansion of 1/3 in y 2.078 * [taylor]: Taking taylor expansion of (log (expm1 (log1p (pow (cos (/ 1 y)) 2)))) in y 2.078 * [taylor]: Taking taylor expansion of (expm1 (log1p (pow (cos (/ 1 y)) 2))) in y 2.078 * [taylor]: Rewrote expression to (- (exp (log1p (pow (cos (/ 1 y)) 2))) 1) 2.078 * [taylor]: Taking taylor expansion of (exp (log1p (pow (cos (/ 1 y)) 2))) in y 2.078 * [taylor]: Taking taylor expansion of (log1p (pow (cos (/ 1 y)) 2)) in y 2.079 * [taylor]: Rewrote expression to (log (+ 1 (pow (cos (/ 1 y)) 2))) 2.079 * [taylor]: Taking taylor expansion of (+ 1 (pow (cos (/ 1 y)) 2)) in y 2.079 * [taylor]: Taking taylor expansion of 1 in y 2.079 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 2) in y 2.079 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 2.079 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.079 * [taylor]: Taking taylor expansion of y in y 2.080 * [taylor]: Taking taylor expansion of 1 in y 2.150 * [approximate]: Taking taylor expansion of (pow (expm1 (log1p (pow (cos (/ -1 y)) 2))) 1/3) in (y) around 0 2.150 * [taylor]: Taking taylor expansion of (pow (expm1 (log1p (pow (cos (/ -1 y)) 2))) 1/3) in y 2.150 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (expm1 (log1p (pow (cos (/ -1 y)) 2)))))) in y 2.150 * [taylor]: Taking taylor expansion of (* 1/3 (log (expm1 (log1p (pow (cos (/ -1 y)) 2))))) in y 2.150 * [taylor]: Taking taylor expansion of 1/3 in y 2.150 * [taylor]: Taking taylor expansion of (log (expm1 (log1p (pow (cos (/ -1 y)) 2)))) in y 2.150 * [taylor]: Taking taylor expansion of (expm1 (log1p (pow (cos (/ -1 y)) 2))) in y 2.150 * [taylor]: Rewrote expression to (- (exp (log1p (pow (cos (/ -1 y)) 2))) 1) 2.150 * [taylor]: Taking taylor expansion of (exp (log1p (pow (cos (/ -1 y)) 2))) in y 2.150 * [taylor]: Taking taylor expansion of (log1p (pow (cos (/ -1 y)) 2)) in y 2.150 * [taylor]: Rewrote expression to (log (+ 1 (pow (cos (/ -1 y)) 2))) 2.150 * [taylor]: Taking taylor expansion of (+ 1 (pow (cos (/ -1 y)) 2)) in y 2.150 * [taylor]: Taking taylor expansion of 1 in y 2.150 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 2) in y 2.150 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 2.150 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.150 * [taylor]: Taking taylor expansion of -1 in y 2.150 * [taylor]: Taking taylor expansion of y in y 2.151 * [taylor]: Taking taylor expansion of 1 in y 2.152 * [taylor]: Taking taylor expansion of (pow (expm1 (log1p (pow (cos (/ -1 y)) 2))) 1/3) in y 2.152 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (expm1 (log1p (pow (cos (/ -1 y)) 2)))))) in y 2.152 * [taylor]: Taking taylor expansion of (* 1/3 (log (expm1 (log1p (pow (cos (/ -1 y)) 2))))) in y 2.152 * [taylor]: Taking taylor expansion of 1/3 in y 2.152 * [taylor]: Taking taylor expansion of (log (expm1 (log1p (pow (cos (/ -1 y)) 2)))) in y 2.152 * [taylor]: Taking taylor expansion of (expm1 (log1p (pow (cos (/ -1 y)) 2))) in y 2.152 * [taylor]: Rewrote expression to (- (exp (log1p (pow (cos (/ -1 y)) 2))) 1) 2.152 * [taylor]: Taking taylor expansion of (exp (log1p (pow (cos (/ -1 y)) 2))) in y 2.152 * [taylor]: Taking taylor expansion of (log1p (pow (cos (/ -1 y)) 2)) in y 2.152 * [taylor]: Rewrote expression to (log (+ 1 (pow (cos (/ -1 y)) 2))) 2.152 * [taylor]: Taking taylor expansion of (+ 1 (pow (cos (/ -1 y)) 2)) in y 2.152 * [taylor]: Taking taylor expansion of 1 in y 2.152 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 2) in y 2.152 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 2.152 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.152 * [taylor]: Taking taylor expansion of -1 in y 2.152 * [taylor]: Taking taylor expansion of y in y 2.153 * [taylor]: Taking taylor expansion of 1 in y 2.227 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 2.227 * [approximate]: Taking taylor expansion of (pow (cos y) 1/3) in (y) around 0 2.227 * [taylor]: Taking taylor expansion of (pow (cos y) 1/3) in y 2.227 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos y)))) in y 2.227 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos y))) in y 2.227 * [taylor]: Taking taylor expansion of 1/3 in y 2.227 * [taylor]: Taking taylor expansion of (log (cos y)) in y 2.227 * [taylor]: Taking taylor expansion of (cos y) in y 2.227 * [taylor]: Taking taylor expansion of y in y 2.232 * [taylor]: Taking taylor expansion of (pow (cos y) 1/3) in y 2.232 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos y)))) in y 2.232 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos y))) in y 2.232 * [taylor]: Taking taylor expansion of 1/3 in y 2.232 * [taylor]: Taking taylor expansion of (log (cos y)) in y 2.232 * [taylor]: Taking taylor expansion of (cos y) in y 2.232 * [taylor]: Taking taylor expansion of y in y 2.257 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in (y) around 0 2.257 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in y 2.257 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1 y))))) in y 2.257 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1 y)))) in y 2.257 * [taylor]: Taking taylor expansion of 1/3 in y 2.257 * [taylor]: Taking taylor expansion of (log (cos (/ 1 y))) in y 2.257 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 2.257 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.257 * [taylor]: Taking taylor expansion of y in y 2.258 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in y 2.258 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1 y))))) in y 2.258 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1 y)))) in y 2.258 * [taylor]: Taking taylor expansion of 1/3 in y 2.258 * [taylor]: Taking taylor expansion of (log (cos (/ 1 y))) in y 2.258 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 2.258 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.258 * [taylor]: Taking taylor expansion of y in y 2.290 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in (y) around 0 2.290 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in y 2.290 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1 y))))) in y 2.290 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1 y)))) in y 2.290 * [taylor]: Taking taylor expansion of 1/3 in y 2.290 * [taylor]: Taking taylor expansion of (log (cos (/ -1 y))) in y 2.290 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 2.290 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.290 * [taylor]: Taking taylor expansion of -1 in y 2.290 * [taylor]: Taking taylor expansion of y in y 2.290 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in y 2.290 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1 y))))) in y 2.290 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1 y)))) in y 2.290 * [taylor]: Taking taylor expansion of 1/3 in y 2.290 * [taylor]: Taking taylor expansion of (log (cos (/ -1 y))) in y 2.290 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 2.291 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.291 * [taylor]: Taking taylor expansion of -1 in y 2.291 * [taylor]: Taking taylor expansion of y in y 2.328 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1 1 1) 2.328 * [approximate]: Taking taylor expansion of (pow (cos y) 2) in (y) around 0 2.328 * [taylor]: Taking taylor expansion of (pow (cos y) 2) in y 2.328 * [taylor]: Taking taylor expansion of (cos y) in y 2.328 * [taylor]: Taking taylor expansion of y in y 2.328 * [taylor]: Taking taylor expansion of (pow (cos y) 2) in y 2.328 * [taylor]: Taking taylor expansion of (cos y) in y 2.328 * [taylor]: Taking taylor expansion of y in y 2.334 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 y)) 2) in (y) around 0 2.334 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 2) in y 2.334 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 2.334 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.334 * [taylor]: Taking taylor expansion of y in y 2.334 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 2) in y 2.334 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 2.334 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.334 * [taylor]: Taking taylor expansion of y in y 2.339 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 y)) 2) in (y) around 0 2.339 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 2) in y 2.339 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 2.339 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.339 * [taylor]: Taking taylor expansion of -1 in y 2.339 * [taylor]: Taking taylor expansion of y in y 2.339 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 2) in y 2.339 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 2.340 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.340 * [taylor]: Taking taylor expansion of -1 in y 2.340 * [taylor]: Taking taylor expansion of y in y 2.344 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1) 2.344 * [approximate]: Taking taylor expansion of (expm1 (log1p (pow (cos y) 2))) in (y) around 0 2.344 * [taylor]: Taking taylor expansion of (expm1 (log1p (pow (cos y) 2))) in y 2.344 * [taylor]: Rewrote expression to (- (exp (log1p (pow (cos y) 2))) 1) 2.344 * [taylor]: Taking taylor expansion of (exp (log1p (pow (cos y) 2))) in y 2.344 * [taylor]: Taking taylor expansion of (log1p (pow (cos y) 2)) in y 2.344 * [taylor]: Rewrote expression to (log (+ 1 (pow (cos y) 2))) 2.344 * [taylor]: Taking taylor expansion of (+ 1 (pow (cos y) 2)) in y 2.344 * [taylor]: Taking taylor expansion of 1 in y 2.344 * [taylor]: Taking taylor expansion of (pow (cos y) 2) in y 2.344 * [taylor]: Taking taylor expansion of (cos y) in y 2.344 * [taylor]: Taking taylor expansion of y in y 2.346 * [taylor]: Taking taylor expansion of 1 in y 2.346 * [taylor]: Taking taylor expansion of (expm1 (log1p (pow (cos y) 2))) in y 2.346 * [taylor]: Rewrote expression to (- (exp (log1p (pow (cos y) 2))) 1) 2.346 * [taylor]: Taking taylor expansion of (exp (log1p (pow (cos y) 2))) in y 2.346 * [taylor]: Taking taylor expansion of (log1p (pow (cos y) 2)) in y 2.346 * [taylor]: Rewrote expression to (log (+ 1 (pow (cos y) 2))) 2.346 * [taylor]: Taking taylor expansion of (+ 1 (pow (cos y) 2)) in y 2.346 * [taylor]: Taking taylor expansion of 1 in y 2.346 * [taylor]: Taking taylor expansion of (pow (cos y) 2) in y 2.346 * [taylor]: Taking taylor expansion of (cos y) in y 2.346 * [taylor]: Taking taylor expansion of y in y 2.347 * [taylor]: Taking taylor expansion of 1 in y 2.374 * [approximate]: Taking taylor expansion of (expm1 (log1p (pow (cos (/ 1 y)) 2))) in (y) around 0 2.374 * [taylor]: Taking taylor expansion of (expm1 (log1p (pow (cos (/ 1 y)) 2))) in y 2.374 * [taylor]: Rewrote expression to (- (exp (log1p (pow (cos (/ 1 y)) 2))) 1) 2.375 * [taylor]: Taking taylor expansion of (exp (log1p (pow (cos (/ 1 y)) 2))) in y 2.375 * [taylor]: Taking taylor expansion of (log1p (pow (cos (/ 1 y)) 2)) in y 2.375 * [taylor]: Rewrote expression to (log (+ 1 (pow (cos (/ 1 y)) 2))) 2.375 * [taylor]: Taking taylor expansion of (+ 1 (pow (cos (/ 1 y)) 2)) in y 2.375 * [taylor]: Taking taylor expansion of 1 in y 2.375 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 2) in y 2.375 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 2.375 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.375 * [taylor]: Taking taylor expansion of y in y 2.375 * [taylor]: Taking taylor expansion of 1 in y 2.375 * [taylor]: Taking taylor expansion of (expm1 (log1p (pow (cos (/ 1 y)) 2))) in y 2.375 * [taylor]: Rewrote expression to (- (exp (log1p (pow (cos (/ 1 y)) 2))) 1) 2.375 * [taylor]: Taking taylor expansion of (exp (log1p (pow (cos (/ 1 y)) 2))) in y 2.375 * [taylor]: Taking taylor expansion of (log1p (pow (cos (/ 1 y)) 2)) in y 2.376 * [taylor]: Rewrote expression to (log (+ 1 (pow (cos (/ 1 y)) 2))) 2.376 * [taylor]: Taking taylor expansion of (+ 1 (pow (cos (/ 1 y)) 2)) in y 2.376 * [taylor]: Taking taylor expansion of 1 in y 2.376 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 2) in y 2.376 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 2.376 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.376 * [taylor]: Taking taylor expansion of y in y 2.376 * [taylor]: Taking taylor expansion of 1 in y 2.418 * [approximate]: Taking taylor expansion of (expm1 (log1p (pow (cos (/ -1 y)) 2))) in (y) around 0 2.418 * [taylor]: Taking taylor expansion of (expm1 (log1p (pow (cos (/ -1 y)) 2))) in y 2.418 * [taylor]: Rewrote expression to (- (exp (log1p (pow (cos (/ -1 y)) 2))) 1) 2.418 * [taylor]: Taking taylor expansion of (exp (log1p (pow (cos (/ -1 y)) 2))) in y 2.419 * [taylor]: Taking taylor expansion of (log1p (pow (cos (/ -1 y)) 2)) in y 2.419 * [taylor]: Rewrote expression to (log (+ 1 (pow (cos (/ -1 y)) 2))) 2.419 * [taylor]: Taking taylor expansion of (+ 1 (pow (cos (/ -1 y)) 2)) in y 2.419 * [taylor]: Taking taylor expansion of 1 in y 2.419 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 2) in y 2.419 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 2.419 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.419 * [taylor]: Taking taylor expansion of -1 in y 2.419 * [taylor]: Taking taylor expansion of y in y 2.419 * [taylor]: Taking taylor expansion of 1 in y 2.419 * [taylor]: Taking taylor expansion of (expm1 (log1p (pow (cos (/ -1 y)) 2))) in y 2.419 * [taylor]: Rewrote expression to (- (exp (log1p (pow (cos (/ -1 y)) 2))) 1) 2.419 * [taylor]: Taking taylor expansion of (exp (log1p (pow (cos (/ -1 y)) 2))) in y 2.420 * [taylor]: Taking taylor expansion of (log1p (pow (cos (/ -1 y)) 2)) in y 2.420 * [taylor]: Rewrote expression to (log (+ 1 (pow (cos (/ -1 y)) 2))) 2.420 * [taylor]: Taking taylor expansion of (+ 1 (pow (cos (/ -1 y)) 2)) in y 2.420 * [taylor]: Taking taylor expansion of 1 in y 2.420 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 2) in y 2.420 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 2.420 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.420 * [taylor]: Taking taylor expansion of -1 in y 2.420 * [taylor]: Taking taylor expansion of y in y 2.420 * [taylor]: Taking taylor expansion of 1 in y 2.457 * * * [progress]: simplifying candidates 2.457 * [simplify]: Simplifying using # : (expm1 (cbrt (expm1 (log1p (pow (cos y) 2))))) (log1p (cbrt (expm1 (log1p (pow (cos y) 2))))) (log (cbrt (expm1 (log1p (pow (cos y) 2))))) (exp (cbrt (expm1 (log1p (pow (cos y) 2))))) (cbrt (* (cbrt (expm1 (log1p (pow (cos y) 2)))) (cbrt (expm1 (log1p (pow (cos y) 2)))))) (cbrt (cbrt (expm1 (log1p (pow (cos y) 2))))) (cbrt (sqrt (expm1 (log1p (pow (cos y) 2))))) (cbrt (sqrt (expm1 (log1p (pow (cos y) 2))))) (cbrt 1) (cbrt (expm1 (log1p (pow (cos y) 2)))) (* (cbrt (cbrt (expm1 (log1p (pow (cos y) 2))))) (cbrt (cbrt (expm1 (log1p (pow (cos y) 2)))))) (cbrt (cbrt (expm1 (log1p (pow (cos y) 2))))) (* (* (cbrt (expm1 (log1p (pow (cos y) 2)))) (cbrt (expm1 (log1p (pow (cos y) 2))))) (cbrt (expm1 (log1p (pow (cos y) 2))))) (sqrt (cbrt (expm1 (log1p (pow (cos y) 2))))) (sqrt (cbrt (expm1 (log1p (pow (cos y) 2))))) (expm1 (cbrt (cos y))) (log1p (cbrt (cos y))) (log (cbrt (cos y))) (exp (cbrt (cos y))) (cbrt (* (cbrt (cos y)) (cbrt (cos y)))) (cbrt (cbrt (cos y))) (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y))) (cbrt 1) (cbrt (cos y)) (* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y)))) (cbrt (cbrt (cos y))) (* (* (cbrt (cos y)) (cbrt (cos y))) (cbrt (cos y))) (sqrt (cbrt (cos y))) (sqrt (cbrt (cos y))) (expm1 (pow (cos y) 2)) (log1p (pow (cos y) 2)) (* (log (cos y)) 2) (* (log (cos y)) 2) (* 1 2) (pow (cos y) (* (cbrt 2) (cbrt 2))) (pow (cos y) (sqrt 2)) (pow (cos y) 1) (pow (* (cbrt (cos y)) (cbrt (cos y))) 2) (pow (cbrt (cos y)) 2) (pow (sqrt (cos y)) 2) (pow (sqrt (cos y)) 2) (pow 1 2) (pow (cos y) 2) (log (pow (cos y) 2)) (exp (pow (cos y) 2)) (* (cbrt (pow (cos y) 2)) (cbrt (pow (cos y) 2))) (cbrt (pow (cos y) 2)) (* (* (pow (cos y) 2) (pow (cos y) 2)) (pow (cos y) 2)) (sqrt (pow (cos y) 2)) (sqrt (pow (cos y) 2)) (pow (cos y) (/ 2 2)) (pow (cos y) (/ 2 2)) (exp (log1p (pow (cos y) 2))) (expm1 (expm1 (log1p (pow (cos y) 2)))) (log1p (expm1 (log1p (pow (cos y) 2)))) (log (expm1 (log1p (pow (cos y) 2)))) (exp (expm1 (log1p (pow (cos y) 2)))) (* (cbrt (expm1 (log1p (pow (cos y) 2)))) (cbrt (expm1 (log1p (pow (cos y) 2))))) (cbrt (expm1 (log1p (pow (cos y) 2)))) (* (* (expm1 (log1p (pow (cos y) 2))) (expm1 (log1p (pow (cos y) 2)))) (expm1 (log1p (pow (cos y) 2)))) (sqrt (expm1 (log1p (pow (cos y) 2)))) (sqrt (expm1 (log1p (pow (cos y) 2)))) (- 1 (+ (* 1/3 (pow y 2)) (* 1/405 (pow y 6)))) (pow (pow (cos y) 2) 1/3) (pow (pow (cos y) 2) 1/3) (- 1 (+ (* 1/6 (pow y 2)) (* 1/72 (pow y 4)))) (pow (cos y) 1/3) (pow (cos y) 1/3) (- (+ (* 1/3 (pow y 4)) 1) (pow y 2)) (pow (cos y) 2) (pow (cos y) 2) (- (+ (* 1/3 (pow y 4)) 1) (pow y 2)) (pow (cos y) 2) (pow (cos y) 2) 2.461 * * [simplify]: iteration 0 : 161 enodes (cost 302 ) 2.464 * * [simplify]: iteration 1 : 517 enodes (cost 252 ) 2.474 * * [simplify]: iteration 2 : 1872 enodes (cost 244 ) 2.521 * * [simplify]: iteration 3 : 5001 enodes (cost 240 ) 2.522 * [simplify]: Simplified to: (expm1 (cbrt (expm1 (log1p (pow (cos y) 2))))) (log1p (cbrt (expm1 (log1p (pow (cos y) 2))))) (* 2/3 (log (cos y))) (exp (pow (pow (cos y) 2) 1/3)) (cbrt (* (cbrt (expm1 (log1p (pow (cos y) 2)))) (cbrt (expm1 (log1p (pow (cos y) 2)))))) (cbrt (cbrt (expm1 (log1p (pow (cos y) 2))))) (cbrt (sqrt (expm1 (log1p (pow (cos y) 2))))) (cbrt (sqrt (expm1 (log1p (pow (cos y) 2))))) 1 (pow (pow (cos y) 2) 1/3) (* (cbrt (cbrt (expm1 (log1p (pow (cos y) 2))))) (cbrt (cbrt (expm1 (log1p (pow (cos y) 2)))))) (cbrt (cbrt (expm1 (log1p (pow (cos y) 2))))) (pow (cos y) 2) (fabs (pow (pow (cos y) 2) 1/6)) (fabs (pow (pow (cos y) 2) 1/6)) (expm1 (cbrt (cos y))) (log1p (cbrt (cos y))) (log (cbrt (cos y))) (exp (cbrt (cos y))) (cbrt (* (cbrt (cos y)) (cbrt (cos y)))) (cbrt (cbrt (cos y))) (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y))) 1 (pow (cos y) 1/3) (* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y)))) (cbrt (cbrt (cos y))) (cos y) (pow (pow (cos y) 1/3) 1/2) (pow (pow (cos y) 1/3) 1/2) (expm1 (pow (cos y) 2)) (log1p (pow (cos y) 2)) (log (pow (cos y) 2)) (log (pow (cos y) 2)) 2 (pow (cos y) (* (cbrt 2) (cbrt 2))) (pow (cos y) (sqrt 2)) (cos y) (pow (cos y) 4/3) (pow (cos y) 2/3) (cos y) (cos y) 1 (pow (cos y) 2) (log (pow (cos y) 2)) (exp (pow (cos y) 2)) (pow (pow (cos y) 2) 2/3) (pow (pow (cos y) 2) 1/3) (pow (cos y) 6) (fabs (cos y)) (fabs (cos y)) (cos y) (cos y) (exp (log1p (pow (cos y) 2))) (expm1 (pow (cos y) 2)) (log1p (pow (cos y) 2)) (log (pow (cos y) 2)) (exp (pow (cos y) 2)) (pow (pow (cos y) 2) 2/3) (pow (pow (cos y) 2) 1/3) (pow (cos y) 6) (fabs (cos y)) (fabs (cos y)) (- 1 (fma 1/3 (pow y 2) (* 1/405 (pow y 6)))) (pow (pow (cos y) 2) 1/3) (pow (pow (cos y) 2) 1/3) (- 1 (fma 1/6 (pow y 2) (* 1/72 (pow y 4)))) (pow (cos y) 1/3) (pow (cos y) 1/3) (fma (pow y 4) 1/3 (- 1 (pow y 2))) (pow (cos y) 2) (pow (cos y) 2) (fma (pow y 4) 1/3 (- 1 (pow y 2))) (pow (cos y) 2) (pow (cos y) 2) 2.523 * * * [progress]: adding candidates to table 2.763 * [progress]: [Phase 3 of 3] Extracting. 2.763 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 2.765 * * * [regime-changes]: Trying 3 branch expressions: (z y x) 2.765 * * * * [regimes]: Trying to branch on z from (# # # # # # # # # #) 2.803 * * * * [regimes]: Trying to branch on y from (# # # # # # # # # #) 2.841 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # #) 2.876 * * * [regime]: Found split indices: #