9.946 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.044 * * * [progress]: [2/2] Setting up program. 0.047 * [progress]: [Phase 2 of 3] Improving. 0.047 * [simplify]: Simplifying using # : (+ (+ x (sin y)) (* z (cos y))) 0.047 * [simplify]: Sending expressions to egg_math: (+ (+ h0 (sin h1)) (* h2 (cos h1))) 0.049 * * [simplify]: iteration 0 : 13 enodes (cost 5 ) 0.051 * * [simplify]: iteration 1 : 20 enodes (cost 5 ) 0.052 * * [simplify]: iteration 2 : 22 enodes (cost 5 ) 0.053 * * [simplify]: iteration 3 : 22 enodes (cost 5 ) 0.053 * [simplify]: Simplified to: (+ (+ x (sin y)) (* z (cos y))) 0.053 * * [progress]: iteration 1 / 4 0.053 * * * [progress]: picking best candidate 0.055 * * * * [pick]: Picked # 0.055 * * * [progress]: localizing error 0.068 * * * [progress]: generating rewritten candidates 0.068 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.077 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.108 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.115 * * * [progress]: generating series expansions 0.115 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.116 * [approximate]: Taking taylor expansion of (* (cos y) z) in (z y) around 0 0.116 * [taylor]: Taking taylor expansion of (* (cos y) z) in y 0.116 * [taylor]: Taking taylor expansion of (cos y) in y 0.116 * [taylor]: Taking taylor expansion of y in y 0.116 * [taylor]: Taking taylor expansion of z in y 0.116 * [taylor]: Taking taylor expansion of (* (cos y) z) in z 0.116 * [taylor]: Taking taylor expansion of (cos y) in z 0.116 * [taylor]: Taking taylor expansion of y in z 0.116 * [taylor]: Taking taylor expansion of z in z 0.116 * [taylor]: Taking taylor expansion of (* (cos y) z) in z 0.116 * [taylor]: Taking taylor expansion of (cos y) in z 0.116 * [taylor]: Taking taylor expansion of y in z 0.116 * [taylor]: Taking taylor expansion of z in z 0.117 * [taylor]: Taking taylor expansion of 0 in y 0.119 * [taylor]: Taking taylor expansion of (cos y) in y 0.120 * [taylor]: Taking taylor expansion of y in y 0.122 * [taylor]: Taking taylor expansion of 0 in y 0.130 * [taylor]: Taking taylor expansion of 0 in y 0.130 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 y)) z) in (z y) around 0 0.130 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 y)) z) in y 0.130 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 0.130 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.130 * [taylor]: Taking taylor expansion of y in y 0.131 * [taylor]: Taking taylor expansion of z in y 0.131 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 y)) z) in z 0.131 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in z 0.131 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.131 * [taylor]: Taking taylor expansion of y in z 0.131 * [taylor]: Taking taylor expansion of z in z 0.131 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 y)) z) in z 0.131 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in z 0.131 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.131 * [taylor]: Taking taylor expansion of y in z 0.131 * [taylor]: Taking taylor expansion of z in z 0.132 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 0.132 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.132 * [taylor]: Taking taylor expansion of y in y 0.134 * [taylor]: Taking taylor expansion of 0 in y 0.137 * [taylor]: Taking taylor expansion of 0 in y 0.141 * [taylor]: Taking taylor expansion of 0 in y 0.141 * [approximate]: Taking taylor expansion of (* -1 (/ (cos (/ -1 y)) z)) in (z y) around 0 0.141 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1 y)) z)) in y 0.141 * [taylor]: Taking taylor expansion of -1 in y 0.141 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 y)) z) in y 0.141 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.141 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.141 * [taylor]: Taking taylor expansion of -1 in y 0.141 * [taylor]: Taking taylor expansion of y in y 0.142 * [taylor]: Taking taylor expansion of z in y 0.142 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1 y)) z)) in z 0.142 * [taylor]: Taking taylor expansion of -1 in z 0.142 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 y)) z) in z 0.142 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in z 0.142 * [taylor]: Taking taylor expansion of (/ -1 y) in z 0.142 * [taylor]: Taking taylor expansion of -1 in z 0.142 * [taylor]: Taking taylor expansion of y in z 0.142 * [taylor]: Taking taylor expansion of z in z 0.142 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1 y)) z)) in z 0.142 * [taylor]: Taking taylor expansion of -1 in z 0.142 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 y)) z) in z 0.142 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in z 0.142 * [taylor]: Taking taylor expansion of (/ -1 y) in z 0.142 * [taylor]: Taking taylor expansion of -1 in z 0.142 * [taylor]: Taking taylor expansion of y in z 0.142 * [taylor]: Taking taylor expansion of z in z 0.143 * [taylor]: Taking taylor expansion of (* -1 (cos (/ -1 y))) in y 0.143 * [taylor]: Taking taylor expansion of -1 in y 0.143 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.143 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.143 * [taylor]: Taking taylor expansion of -1 in y 0.143 * [taylor]: Taking taylor expansion of y in y 0.146 * [taylor]: Taking taylor expansion of 0 in y 0.149 * [taylor]: Taking taylor expansion of 0 in y 0.154 * [taylor]: Taking taylor expansion of 0 in y 0.154 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.154 * [approximate]: Taking taylor expansion of (+ x (+ (sin y) (* z (cos y)))) in (x y z) around 0 0.154 * [taylor]: Taking taylor expansion of (+ x (+ (sin y) (* z (cos y)))) in z 0.154 * [taylor]: Taking taylor expansion of x in z 0.154 * [taylor]: Taking taylor expansion of (+ (sin y) (* z (cos y))) in z 0.154 * [taylor]: Taking taylor expansion of (sin y) in z 0.155 * [taylor]: Taking taylor expansion of y in z 0.155 * [taylor]: Taking taylor expansion of (* z (cos y)) in z 0.155 * [taylor]: Taking taylor expansion of z in z 0.155 * [taylor]: Taking taylor expansion of (cos y) in z 0.155 * [taylor]: Taking taylor expansion of y in z 0.155 * [taylor]: Taking taylor expansion of (+ x (+ (sin y) (* z (cos y)))) in y 0.155 * [taylor]: Taking taylor expansion of x in y 0.155 * [taylor]: Taking taylor expansion of (+ (sin y) (* z (cos y))) in y 0.155 * [taylor]: Taking taylor expansion of (sin y) in y 0.155 * [taylor]: Taking taylor expansion of y in y 0.155 * [taylor]: Taking taylor expansion of (* z (cos y)) in y 0.155 * [taylor]: Taking taylor expansion of z in y 0.155 * [taylor]: Taking taylor expansion of (cos y) in y 0.155 * [taylor]: Taking taylor expansion of y in y 0.155 * [taylor]: Taking taylor expansion of (+ x (+ (sin y) (* z (cos y)))) in x 0.155 * [taylor]: Taking taylor expansion of x in x 0.155 * [taylor]: Taking taylor expansion of (+ (sin y) (* z (cos y))) in x 0.155 * [taylor]: Taking taylor expansion of (sin y) in x 0.155 * [taylor]: Taking taylor expansion of y in x 0.155 * [taylor]: Taking taylor expansion of (* z (cos y)) in x 0.155 * [taylor]: Taking taylor expansion of z in x 0.155 * [taylor]: Taking taylor expansion of (cos y) in x 0.155 * [taylor]: Taking taylor expansion of y in x 0.155 * [taylor]: Taking taylor expansion of (+ x (+ (sin y) (* z (cos y)))) in x 0.155 * [taylor]: Taking taylor expansion of x in x 0.155 * [taylor]: Taking taylor expansion of (+ (sin y) (* z (cos y))) in x 0.155 * [taylor]: Taking taylor expansion of (sin y) in x 0.155 * [taylor]: Taking taylor expansion of y in x 0.155 * [taylor]: Taking taylor expansion of (* z (cos y)) in x 0.155 * [taylor]: Taking taylor expansion of z in x 0.155 * [taylor]: Taking taylor expansion of (cos y) in x 0.155 * [taylor]: Taking taylor expansion of y in x 0.156 * [taylor]: Taking taylor expansion of (+ (* z (cos y)) (sin y)) in y 0.156 * [taylor]: Taking taylor expansion of (* z (cos y)) in y 0.156 * [taylor]: Taking taylor expansion of z in y 0.156 * [taylor]: Taking taylor expansion of (cos y) in y 0.156 * [taylor]: Taking taylor expansion of y in y 0.156 * [taylor]: Taking taylor expansion of (sin y) in y 0.156 * [taylor]: Taking taylor expansion of y in y 0.156 * [taylor]: Taking taylor expansion of z in z 0.159 * [taylor]: Taking taylor expansion of 1 in y 0.159 * [taylor]: Taking taylor expansion of 1 in z 0.160 * [taylor]: Taking taylor expansion of 1 in z 0.161 * [approximate]: Taking taylor expansion of (+ (sin (/ 1 y)) (+ (/ (cos (/ 1 y)) z) (/ 1 x))) in (x y z) around 0 0.161 * [taylor]: Taking taylor expansion of (+ (sin (/ 1 y)) (+ (/ (cos (/ 1 y)) z) (/ 1 x))) in z 0.161 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in z 0.161 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.161 * [taylor]: Taking taylor expansion of y in z 0.161 * [taylor]: Taking taylor expansion of (+ (/ (cos (/ 1 y)) z) (/ 1 x)) in z 0.161 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 y)) z) in z 0.161 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in z 0.161 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.161 * [taylor]: Taking taylor expansion of y in z 0.161 * [taylor]: Taking taylor expansion of z in z 0.162 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.162 * [taylor]: Taking taylor expansion of x in z 0.162 * [taylor]: Taking taylor expansion of (+ (sin (/ 1 y)) (+ (/ (cos (/ 1 y)) z) (/ 1 x))) in y 0.162 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.162 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.162 * [taylor]: Taking taylor expansion of y in y 0.162 * [taylor]: Taking taylor expansion of (+ (/ (cos (/ 1 y)) z) (/ 1 x)) in y 0.162 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 y)) z) in y 0.162 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 0.162 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.162 * [taylor]: Taking taylor expansion of y in y 0.162 * [taylor]: Taking taylor expansion of z in y 0.162 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.162 * [taylor]: Taking taylor expansion of x in y 0.162 * [taylor]: Taking taylor expansion of (+ (sin (/ 1 y)) (+ (/ (cos (/ 1 y)) z) (/ 1 x))) in x 0.163 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 0.163 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.163 * [taylor]: Taking taylor expansion of y in x 0.163 * [taylor]: Taking taylor expansion of (+ (/ (cos (/ 1 y)) z) (/ 1 x)) in x 0.163 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 y)) z) in x 0.163 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 0.163 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.163 * [taylor]: Taking taylor expansion of y in x 0.163 * [taylor]: Taking taylor expansion of z in x 0.163 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [taylor]: Taking taylor expansion of (+ (sin (/ 1 y)) (+ (/ (cos (/ 1 y)) z) (/ 1 x))) in x 0.163 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 0.163 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.163 * [taylor]: Taking taylor expansion of y in x 0.164 * [taylor]: Taking taylor expansion of (+ (/ (cos (/ 1 y)) z) (/ 1 x)) in x 0.164 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 y)) z) in x 0.164 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 0.164 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.164 * [taylor]: Taking taylor expansion of y in x 0.164 * [taylor]: Taking taylor expansion of z in x 0.164 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.164 * [taylor]: Taking taylor expansion of x in x 0.165 * [taylor]: Taking taylor expansion of 1 in y 0.165 * [taylor]: Taking taylor expansion of 1 in z 0.165 * [taylor]: Taking taylor expansion of (+ (sin (/ 1 y)) (/ (cos (/ 1 y)) z)) in y 0.165 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.166 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.166 * [taylor]: Taking taylor expansion of y in y 0.166 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 y)) z) in y 0.166 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 0.166 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.166 * [taylor]: Taking taylor expansion of y in y 0.166 * [taylor]: Taking taylor expansion of z in y 0.166 * [taylor]: Taking taylor expansion of (+ (sin (/ 1 y)) (/ (cos (/ 1 y)) z)) in z 0.166 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in z 0.166 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.166 * [taylor]: Taking taylor expansion of y in z 0.166 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 y)) z) in z 0.166 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in z 0.166 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.166 * [taylor]: Taking taylor expansion of y in z 0.167 * [taylor]: Taking taylor expansion of z in z 0.167 * [taylor]: Taking taylor expansion of 0 in z 0.171 * [taylor]: Taking taylor expansion of 0 in y 0.171 * [taylor]: Taking taylor expansion of 0 in z 0.171 * [taylor]: Taking taylor expansion of 0 in z 0.171 * [taylor]: Taking taylor expansion of 0 in z 0.174 * [approximate]: Taking taylor expansion of (- (sin (/ -1 y)) (+ (/ (cos (/ -1 y)) z) (/ 1 x))) in (x y z) around 0 0.174 * [taylor]: Taking taylor expansion of (- (sin (/ -1 y)) (+ (/ (cos (/ -1 y)) z) (/ 1 x))) in z 0.174 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in z 0.174 * [taylor]: Taking taylor expansion of (/ -1 y) in z 0.174 * [taylor]: Taking taylor expansion of -1 in z 0.174 * [taylor]: Taking taylor expansion of y in z 0.175 * [taylor]: Taking taylor expansion of (+ (/ (cos (/ -1 y)) z) (/ 1 x)) in z 0.175 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 y)) z) in z 0.175 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in z 0.175 * [taylor]: Taking taylor expansion of (/ -1 y) in z 0.175 * [taylor]: Taking taylor expansion of -1 in z 0.175 * [taylor]: Taking taylor expansion of y in z 0.175 * [taylor]: Taking taylor expansion of z in z 0.175 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.175 * [taylor]: Taking taylor expansion of x in z 0.175 * [taylor]: Taking taylor expansion of (- (sin (/ -1 y)) (+ (/ (cos (/ -1 y)) z) (/ 1 x))) in y 0.175 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.175 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.175 * [taylor]: Taking taylor expansion of -1 in y 0.175 * [taylor]: Taking taylor expansion of y in y 0.175 * [taylor]: Taking taylor expansion of (+ (/ (cos (/ -1 y)) z) (/ 1 x)) in y 0.176 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 y)) z) in y 0.176 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.176 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.176 * [taylor]: Taking taylor expansion of -1 in y 0.176 * [taylor]: Taking taylor expansion of y in y 0.176 * [taylor]: Taking taylor expansion of z in y 0.176 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.176 * [taylor]: Taking taylor expansion of x in y 0.176 * [taylor]: Taking taylor expansion of (- (sin (/ -1 y)) (+ (/ (cos (/ -1 y)) z) (/ 1 x))) in x 0.176 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 0.176 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.176 * [taylor]: Taking taylor expansion of -1 in x 0.176 * [taylor]: Taking taylor expansion of y in x 0.176 * [taylor]: Taking taylor expansion of (+ (/ (cos (/ -1 y)) z) (/ 1 x)) in x 0.176 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 y)) z) in x 0.176 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 0.176 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.176 * [taylor]: Taking taylor expansion of -1 in x 0.176 * [taylor]: Taking taylor expansion of y in x 0.176 * [taylor]: Taking taylor expansion of z in x 0.177 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.177 * [taylor]: Taking taylor expansion of (- (sin (/ -1 y)) (+ (/ (cos (/ -1 y)) z) (/ 1 x))) in x 0.177 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 0.177 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.177 * [taylor]: Taking taylor expansion of -1 in x 0.177 * [taylor]: Taking taylor expansion of y in x 0.177 * [taylor]: Taking taylor expansion of (+ (/ (cos (/ -1 y)) z) (/ 1 x)) in x 0.177 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 y)) z) in x 0.177 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 0.177 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.177 * [taylor]: Taking taylor expansion of -1 in x 0.177 * [taylor]: Taking taylor expansion of y in x 0.177 * [taylor]: Taking taylor expansion of z in x 0.178 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of -1 in y 0.179 * [taylor]: Taking taylor expansion of -1 in z 0.179 * [taylor]: Taking taylor expansion of (- (sin (/ -1 y)) (/ (cos (/ -1 y)) z)) in y 0.179 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.179 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.179 * [taylor]: Taking taylor expansion of -1 in y 0.179 * [taylor]: Taking taylor expansion of y in y 0.180 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 y)) z) in y 0.180 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.180 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.180 * [taylor]: Taking taylor expansion of -1 in y 0.180 * [taylor]: Taking taylor expansion of y in y 0.180 * [taylor]: Taking taylor expansion of z in y 0.180 * [taylor]: Taking taylor expansion of (- (sin (/ -1 y)) (/ (cos (/ -1 y)) z)) in z 0.180 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in z 0.180 * [taylor]: Taking taylor expansion of (/ -1 y) in z 0.180 * [taylor]: Taking taylor expansion of -1 in z 0.180 * [taylor]: Taking taylor expansion of y in z 0.180 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 y)) z) in z 0.180 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in z 0.181 * [taylor]: Taking taylor expansion of (/ -1 y) in z 0.181 * [taylor]: Taking taylor expansion of -1 in z 0.181 * [taylor]: Taking taylor expansion of y in z 0.181 * [taylor]: Taking taylor expansion of z in z 0.181 * [taylor]: Taking taylor expansion of 0 in z 0.185 * [taylor]: Taking taylor expansion of 0 in y 0.185 * [taylor]: Taking taylor expansion of 0 in z 0.186 * [taylor]: Taking taylor expansion of 0 in z 0.186 * [taylor]: Taking taylor expansion of 0 in z 0.189 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.189 * [approximate]: Taking taylor expansion of (+ x (sin y)) in (x y) around 0 0.189 * [taylor]: Taking taylor expansion of (+ x (sin y)) in y 0.189 * [taylor]: Taking taylor expansion of x in y 0.189 * [taylor]: Taking taylor expansion of (sin y) in y 0.189 * [taylor]: Taking taylor expansion of y in y 0.189 * [taylor]: Taking taylor expansion of (+ x (sin y)) in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.189 * [taylor]: Taking taylor expansion of (sin y) in x 0.189 * [taylor]: Taking taylor expansion of y in x 0.189 * [taylor]: Taking taylor expansion of (+ x (sin y)) in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.190 * [taylor]: Taking taylor expansion of (sin y) in x 0.190 * [taylor]: Taking taylor expansion of y in x 0.190 * [taylor]: Taking taylor expansion of (sin y) in y 0.190 * [taylor]: Taking taylor expansion of y in y 0.191 * [taylor]: Taking taylor expansion of 1 in y 0.194 * [taylor]: Taking taylor expansion of 0 in y 0.196 * [taylor]: Taking taylor expansion of 0 in y 0.197 * [approximate]: Taking taylor expansion of (+ (sin (/ 1 y)) (/ 1 x)) in (x y) around 0 0.197 * [taylor]: Taking taylor expansion of (+ (sin (/ 1 y)) (/ 1 x)) in y 0.197 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.197 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.197 * [taylor]: Taking taylor expansion of y in y 0.197 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.197 * [taylor]: Taking taylor expansion of x in y 0.197 * [taylor]: Taking taylor expansion of (+ (sin (/ 1 y)) (/ 1 x)) in x 0.197 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 0.197 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.197 * [taylor]: Taking taylor expansion of y in x 0.197 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.197 * [taylor]: Taking taylor expansion of x in x 0.197 * [taylor]: Taking taylor expansion of (+ (sin (/ 1 y)) (/ 1 x)) in x 0.197 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 0.197 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.198 * [taylor]: Taking taylor expansion of y in x 0.198 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.198 * [taylor]: Taking taylor expansion of x in x 0.198 * [taylor]: Taking taylor expansion of 1 in y 0.199 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.199 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.199 * [taylor]: Taking taylor expansion of y in y 0.201 * [taylor]: Taking taylor expansion of 0 in y 0.203 * [taylor]: Taking taylor expansion of 0 in y 0.204 * [approximate]: Taking taylor expansion of (- (sin (/ -1 y)) (/ 1 x)) in (x y) around 0 0.204 * [taylor]: Taking taylor expansion of (- (sin (/ -1 y)) (/ 1 x)) in y 0.204 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.204 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.204 * [taylor]: Taking taylor expansion of -1 in y 0.204 * [taylor]: Taking taylor expansion of y in y 0.204 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.204 * [taylor]: Taking taylor expansion of x in y 0.204 * [taylor]: Taking taylor expansion of (- (sin (/ -1 y)) (/ 1 x)) in x 0.204 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 0.204 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.204 * [taylor]: Taking taylor expansion of -1 in x 0.204 * [taylor]: Taking taylor expansion of y in x 0.204 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.205 * [taylor]: Taking taylor expansion of (- (sin (/ -1 y)) (/ 1 x)) in x 0.205 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 0.205 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.205 * [taylor]: Taking taylor expansion of -1 in x 0.205 * [taylor]: Taking taylor expansion of y in x 0.205 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.205 * [taylor]: Taking taylor expansion of -1 in y 0.206 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.206 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.206 * [taylor]: Taking taylor expansion of -1 in y 0.206 * [taylor]: Taking taylor expansion of y in y 0.209 * [taylor]: Taking taylor expansion of 0 in y 0.211 * [taylor]: Taking taylor expansion of 0 in y 0.212 * * * [progress]: simplifying candidates 0.212 * [simplify]: Simplifying using # : (* z (cos y)) (+ (log z) (log (cos y))) (log (* z (cos y))) (exp (* z (cos y))) (* (* (* z z) z) (* (* (cos y) (cos y)) (cos y))) (* (cbrt (* z (cos y))) (cbrt (* z (cos y)))) (cbrt (* z (cos y))) (* (* (* z (cos y)) (* z (cos y))) (* z (cos y))) (sqrt (* z (cos y))) (sqrt (* z (cos y))) (* (sqrt z) (sqrt (cos y))) (* (sqrt z) (sqrt (cos y))) (* z (* (cbrt (cos y)) (cbrt (cos y)))) (* z (sqrt (cos y))) (* z 1) (* (cbrt z) (cos y)) (* (sqrt z) (cos y)) (* z (cos y)) (* (* (exp x) (exp (sin y))) (exp (* z (cos y)))) (* (exp (+ x (sin y))) (exp (* z (cos y)))) (log (+ (+ x (sin y)) (* z (cos y)))) (exp (+ (+ x (sin y)) (* z (cos y)))) (* (cbrt (+ (+ x (sin y)) (* z (cos y)))) (cbrt (+ (+ x (sin y)) (* z (cos y))))) (cbrt (+ (+ x (sin y)) (* z (cos y)))) (* (* (+ (+ x (sin y)) (* z (cos y))) (+ (+ x (sin y)) (* z (cos y)))) (+ (+ x (sin y)) (* z (cos y)))) (sqrt (+ (+ x (sin y)) (* z (cos y)))) (sqrt (+ (+ x (sin y)) (* z (cos y)))) (+ (pow (+ x (sin y)) 3) (pow (* z (cos y)) 3)) (+ (* (+ x (sin y)) (+ x (sin y))) (- (* (* z (cos y)) (* z (cos y))) (* (+ x (sin y)) (* z (cos y))))) (- (* (+ x (sin y)) (+ x (sin y))) (* (* z (cos y)) (* z (cos y)))) (- (+ x (sin y)) (* z (cos y))) (+ (sin y) (* z (cos y))) (* (exp x) (exp (sin y))) (log (+ x (sin y))) (exp (+ x (sin y))) (* (cbrt (+ x (sin y))) (cbrt (+ x (sin y)))) (cbrt (+ x (sin y))) (* (* (+ x (sin y)) (+ x (sin y))) (+ x (sin y))) (sqrt (+ x (sin y))) (sqrt (+ x (sin y))) (+ (pow x 3) (pow (sin y) 3)) (+ (* x x) (- (* (sin y) (sin y)) (* x (sin y)))) (- (* x x) (* (sin y) (sin y))) (- x (sin y)) (+ x (sin y)) z (* z (cos y)) (* z (cos y)) (+ x (+ z y)) (+ x (+ (sin y) (* z (cos y)))) (+ x (+ (sin y) (* z (cos y)))) (+ x y) (+ x (sin y)) (+ x (sin y)) 0.212 * [simplify]: Sending expressions to egg_math: (* h0 (cos h1)) (+ (log h0) (log (cos h1))) (log (* h0 (cos h1))) (exp (* h0 (cos h1))) (* (* (* h0 h0) h0) (* (* (cos h1) (cos h1)) (cos h1))) (* (cbrt (* h0 (cos h1))) (cbrt (* h0 (cos h1)))) (cbrt (* h0 (cos h1))) (* (* (* h0 (cos h1)) (* h0 (cos h1))) (* h0 (cos h1))) (sqrt (* h0 (cos h1))) (sqrt (* h0 (cos h1))) (* (sqrt h0) (sqrt (cos h1))) (* (sqrt h0) (sqrt (cos h1))) (* h0 (* (cbrt (cos h1)) (cbrt (cos h1)))) (* h0 (sqrt (cos h1))) (* h0 1) (* (cbrt h0) (cos h1)) (* (sqrt h0) (cos h1)) (* h0 (cos h1)) (* (* (exp h2) (exp (sin h1))) (exp (* h0 (cos h1)))) (* (exp (+ h2 (sin h1))) (exp (* h0 (cos h1)))) (log (+ (+ h2 (sin h1)) (* h0 (cos h1)))) (exp (+ (+ h2 (sin h1)) (* h0 (cos h1)))) (* (cbrt (+ (+ h2 (sin h1)) (* h0 (cos h1)))) (cbrt (+ (+ h2 (sin h1)) (* h0 (cos h1))))) (cbrt (+ (+ h2 (sin h1)) (* h0 (cos h1)))) (* (* (+ (+ h2 (sin h1)) (* h0 (cos h1))) (+ (+ h2 (sin h1)) (* h0 (cos h1)))) (+ (+ h2 (sin h1)) (* h0 (cos h1)))) (sqrt (+ (+ h2 (sin h1)) (* h0 (cos h1)))) (sqrt (+ (+ h2 (sin h1)) (* h0 (cos h1)))) (+ (pow (+ h2 (sin h1)) 3) (pow (* h0 (cos h1)) 3)) (+ (* (+ h2 (sin h1)) (+ h2 (sin h1))) (- (* (* h0 (cos h1)) (* h0 (cos h1))) (* (+ h2 (sin h1)) (* h0 (cos h1))))) (- (* (+ h2 (sin h1)) (+ h2 (sin h1))) (* (* h0 (cos h1)) (* h0 (cos h1)))) (- (+ h2 (sin h1)) (* h0 (cos h1))) (+ (sin h1) (* h0 (cos h1))) (* (exp h2) (exp (sin h1))) (log (+ h2 (sin h1))) (exp (+ h2 (sin h1))) (* (cbrt (+ h2 (sin h1))) (cbrt (+ h2 (sin h1)))) (cbrt (+ h2 (sin h1))) (* (* (+ h2 (sin h1)) (+ h2 (sin h1))) (+ h2 (sin h1))) (sqrt (+ h2 (sin h1))) (sqrt (+ h2 (sin h1))) (+ (pow h2 3) (pow (sin h1) 3)) (+ (* h2 h2) (- (* (sin h1) (sin h1)) (* h2 (sin h1)))) (- (* h2 h2) (* (sin h1) (sin h1))) (- h2 (sin h1)) (+ h2 (sin h1)) h0 (* h0 (cos h1)) (* h0 (cos h1)) (+ h2 (+ h0 h1)) (+ h2 (+ (sin h1) (* h0 (cos h1)))) (+ h2 (+ (sin h1) (* h0 (cos h1)))) (+ h2 h1) (+ h2 (sin h1)) (+ h2 (sin h1)) 0.221 * * [simplify]: iteration 0 : 196 enodes (cost 244 ) 0.226 * * [simplify]: iteration 1 : 694 enodes (cost 228 ) 0.239 * * [simplify]: iteration 2 : 2608 enodes (cost 228 ) 0.285 * * [simplify]: iteration 3 : 5001 enodes (cost 228 ) 0.287 * [simplify]: Simplified to: (* z (cos y)) (log (* z (cos y))) (log (* z (cos y))) (exp (* z (cos y))) (pow (* z (cos y)) 3) (* (cbrt (* z (cos y))) (cbrt (* z (cos y)))) (cbrt (* z (cos y))) (pow (* z (cos y)) 3) (sqrt (* z (cos y))) (sqrt (* z (cos y))) (* (sqrt z) (sqrt (cos y))) (* (sqrt z) (sqrt (cos y))) (* z (* (cbrt (cos y)) (cbrt (cos y)))) (* z (sqrt (cos y))) z (* (cbrt z) (cos y)) (* (sqrt z) (cos y)) (* z (cos y)) (exp (+ (+ x (sin y)) (* z (cos y)))) (exp (+ (+ x (sin y)) (* z (cos y)))) (log (+ (+ x (sin y)) (* z (cos y)))) (exp (+ (+ x (sin y)) (* z (cos y)))) (* (cbrt (+ (+ x (sin y)) (* z (cos y)))) (cbrt (+ (+ x (sin y)) (* z (cos y))))) (cbrt (+ (+ x (sin y)) (* z (cos y)))) (pow (+ x (+ (sin y) (* z (cos y)))) 3) (sqrt (+ (+ x (sin y)) (* z (cos y)))) (sqrt (+ (+ x (sin y)) (* z (cos y)))) (+ (pow (+ x (sin y)) 3) (pow (* z (cos y)) 3)) (+ (* (* z (cos y)) (- (* z (cos y)) (+ x (sin y)))) (* (+ x (sin y)) (+ x (sin y)))) (- (* (+ x (sin y)) (+ x (sin y))) (* (* z (cos y)) (* z (cos y)))) (- (+ x (sin y)) (* z (cos y))) (+ (sin y) (* z (cos y))) (exp (+ x (sin y))) (log (+ x (sin y))) (exp (+ x (sin y))) (* (cbrt (+ x (sin y))) (cbrt (+ x (sin y)))) (cbrt (+ x (sin y))) (pow (+ x (sin y)) 3) (sqrt (+ x (sin y))) (sqrt (+ x (sin y))) (+ (pow x 3) (pow (sin y) 3)) (+ (* (sin y) (- (sin y) x)) (* x x)) (- (* x x) (* (sin y) (sin y))) (- x (sin y)) (+ x (sin y)) z (* z (cos y)) (* z (cos y)) (+ x (+ z y)) (+ x (+ (sin y) (* z (cos y)))) (+ x (+ (sin y) (* z (cos y)))) (+ x y) (+ x (sin y)) (+ x (sin y)) 0.287 * * * [progress]: adding candidates to table 0.396 * * [progress]: iteration 2 / 4 0.396 * * * [progress]: picking best candidate 0.411 * * * * [pick]: Picked # 0.411 * * * [progress]: localizing error 0.424 * * * [progress]: generating rewritten candidates 0.424 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.425 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2) 0.427 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1) 0.428 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 0.442 * * * [progress]: generating series expansions 0.442 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.442 * [approximate]: Taking taylor expansion of (pow (cos y) 1/3) in (y) around 0 0.442 * [taylor]: Taking taylor expansion of (pow (cos y) 1/3) in y 0.442 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos y)))) in y 0.442 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos y))) in y 0.442 * [taylor]: Taking taylor expansion of 1/3 in y 0.442 * [taylor]: Taking taylor expansion of (log (cos y)) in y 0.442 * [taylor]: Taking taylor expansion of (cos y) in y 0.442 * [taylor]: Taking taylor expansion of y in y 0.447 * [taylor]: Taking taylor expansion of (pow (cos y) 1/3) in y 0.447 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos y)))) in y 0.447 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos y))) in y 0.447 * [taylor]: Taking taylor expansion of 1/3 in y 0.447 * [taylor]: Taking taylor expansion of (log (cos y)) in y 0.447 * [taylor]: Taking taylor expansion of (cos y) in y 0.447 * [taylor]: Taking taylor expansion of y in y 0.473 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in (y) around 0 0.473 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in y 0.473 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1 y))))) in y 0.473 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1 y)))) in y 0.473 * [taylor]: Taking taylor expansion of 1/3 in y 0.473 * [taylor]: Taking taylor expansion of (log (cos (/ 1 y))) in y 0.473 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 0.473 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.473 * [taylor]: Taking taylor expansion of y in y 0.473 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in y 0.473 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1 y))))) in y 0.473 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1 y)))) in y 0.473 * [taylor]: Taking taylor expansion of 1/3 in y 0.473 * [taylor]: Taking taylor expansion of (log (cos (/ 1 y))) in y 0.473 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 0.473 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.473 * [taylor]: Taking taylor expansion of y in y 0.505 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in (y) around 0 0.506 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in y 0.506 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1 y))))) in y 0.506 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1 y)))) in y 0.506 * [taylor]: Taking taylor expansion of 1/3 in y 0.506 * [taylor]: Taking taylor expansion of (log (cos (/ -1 y))) in y 0.506 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.506 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.506 * [taylor]: Taking taylor expansion of -1 in y 0.506 * [taylor]: Taking taylor expansion of y in y 0.506 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in y 0.506 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1 y))))) in y 0.506 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1 y)))) in y 0.506 * [taylor]: Taking taylor expansion of 1/3 in y 0.506 * [taylor]: Taking taylor expansion of (log (cos (/ -1 y))) in y 0.506 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.506 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.506 * [taylor]: Taking taylor expansion of -1 in y 0.506 * [taylor]: Taking taylor expansion of y in y 0.537 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2) 0.538 * [approximate]: Taking taylor expansion of (pow (cos y) 1/3) in (y) around 0 0.538 * [taylor]: Taking taylor expansion of (pow (cos y) 1/3) in y 0.538 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos y)))) in y 0.538 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos y))) in y 0.538 * [taylor]: Taking taylor expansion of 1/3 in y 0.538 * [taylor]: Taking taylor expansion of (log (cos y)) in y 0.538 * [taylor]: Taking taylor expansion of (cos y) in y 0.538 * [taylor]: Taking taylor expansion of y in y 0.549 * [taylor]: Taking taylor expansion of (pow (cos y) 1/3) in y 0.549 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos y)))) in y 0.549 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos y))) in y 0.549 * [taylor]: Taking taylor expansion of 1/3 in y 0.549 * [taylor]: Taking taylor expansion of (log (cos y)) in y 0.549 * [taylor]: Taking taylor expansion of (cos y) in y 0.549 * [taylor]: Taking taylor expansion of y in y 0.571 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in (y) around 0 0.571 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in y 0.571 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1 y))))) in y 0.571 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1 y)))) in y 0.571 * [taylor]: Taking taylor expansion of 1/3 in y 0.571 * [taylor]: Taking taylor expansion of (log (cos (/ 1 y))) in y 0.571 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 0.571 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.571 * [taylor]: Taking taylor expansion of y in y 0.572 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in y 0.572 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1 y))))) in y 0.572 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1 y)))) in y 0.572 * [taylor]: Taking taylor expansion of 1/3 in y 0.572 * [taylor]: Taking taylor expansion of (log (cos (/ 1 y))) in y 0.572 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 0.572 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.572 * [taylor]: Taking taylor expansion of y in y 0.603 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in (y) around 0 0.603 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in y 0.603 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1 y))))) in y 0.603 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1 y)))) in y 0.603 * [taylor]: Taking taylor expansion of 1/3 in y 0.603 * [taylor]: Taking taylor expansion of (log (cos (/ -1 y))) in y 0.603 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.603 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.603 * [taylor]: Taking taylor expansion of -1 in y 0.603 * [taylor]: Taking taylor expansion of y in y 0.603 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in y 0.603 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1 y))))) in y 0.603 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1 y)))) in y 0.603 * [taylor]: Taking taylor expansion of 1/3 in y 0.604 * [taylor]: Taking taylor expansion of (log (cos (/ -1 y))) in y 0.604 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.604 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.604 * [taylor]: Taking taylor expansion of -1 in y 0.604 * [taylor]: Taking taylor expansion of y in y 0.640 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1) 0.640 * [approximate]: Taking taylor expansion of (pow (cos y) 1/3) in (y) around 0 0.640 * [taylor]: Taking taylor expansion of (pow (cos y) 1/3) in y 0.640 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos y)))) in y 0.640 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos y))) in y 0.640 * [taylor]: Taking taylor expansion of 1/3 in y 0.640 * [taylor]: Taking taylor expansion of (log (cos y)) in y 0.640 * [taylor]: Taking taylor expansion of (cos y) in y 0.640 * [taylor]: Taking taylor expansion of y in y 0.644 * [taylor]: Taking taylor expansion of (pow (cos y) 1/3) in y 0.644 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos y)))) in y 0.644 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos y))) in y 0.644 * [taylor]: Taking taylor expansion of 1/3 in y 0.644 * [taylor]: Taking taylor expansion of (log (cos y)) in y 0.644 * [taylor]: Taking taylor expansion of (cos y) in y 0.644 * [taylor]: Taking taylor expansion of y in y 0.665 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in (y) around 0 0.665 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in y 0.665 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1 y))))) in y 0.665 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1 y)))) in y 0.665 * [taylor]: Taking taylor expansion of 1/3 in y 0.665 * [taylor]: Taking taylor expansion of (log (cos (/ 1 y))) in y 0.665 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 0.665 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.665 * [taylor]: Taking taylor expansion of y in y 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 y in y 0.696 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in (y) around 0 0.696 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in y 0.696 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1 y))))) in y 0.696 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1 y)))) in y 0.696 * [taylor]: Taking taylor expansion of 1/3 in y 0.696 * [taylor]: Taking taylor expansion of (log (cos (/ -1 y))) in y 0.696 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.696 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.696 * [taylor]: Taking taylor expansion of -1 in y 0.696 * [taylor]: Taking taylor expansion of y in y 0.696 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in y 0.696 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1 y))))) in y 0.696 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1 y)))) in y 0.696 * [taylor]: Taking taylor expansion of 1/3 in y 0.696 * [taylor]: Taking taylor expansion of (log (cos (/ -1 y))) in y 0.696 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.696 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.696 * [taylor]: Taking taylor expansion of -1 in y 0.696 * [taylor]: Taking taylor expansion of y in y 0.733 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 0.733 * [approximate]: Taking taylor expansion of (pow (pow (cos y) 2) 1/3) in (y) around 0 0.733 * [taylor]: Taking taylor expansion of (pow (pow (cos y) 2) 1/3) in y 0.733 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cos y) 2)))) in y 0.733 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cos y) 2))) in y 0.733 * [taylor]: Taking taylor expansion of 1/3 in y 0.733 * [taylor]: Taking taylor expansion of (log (pow (cos y) 2)) in y 0.733 * [taylor]: Taking taylor expansion of (pow (cos y) 2) in y 0.733 * [taylor]: Taking taylor expansion of (cos y) in y 0.733 * [taylor]: Taking taylor expansion of y in y 0.738 * [taylor]: Taking taylor expansion of (pow (pow (cos y) 2) 1/3) in y 0.738 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cos y) 2)))) in y 0.738 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cos y) 2))) in y 0.738 * [taylor]: Taking taylor expansion of 1/3 in y 0.738 * [taylor]: Taking taylor expansion of (log (pow (cos y) 2)) in y 0.738 * [taylor]: Taking taylor expansion of (pow (cos y) 2) in y 0.738 * [taylor]: Taking taylor expansion of (cos y) in y 0.738 * [taylor]: Taking taylor expansion of y in y 0.810 * [approximate]: Taking taylor expansion of (pow (pow (cos (/ 1 y)) 2) 1/3) in (y) around 0 0.810 * [taylor]: Taking taylor expansion of (pow (pow (cos (/ 1 y)) 2) 1/3) in y 0.810 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (/ 1 y)) 2)))) in y 0.810 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cos (/ 1 y)) 2))) in y 0.810 * [taylor]: Taking taylor expansion of 1/3 in y 0.810 * [taylor]: Taking taylor expansion of (log (pow (cos (/ 1 y)) 2)) in y 0.810 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 2) in y 0.810 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 0.810 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.810 * [taylor]: Taking taylor expansion of y in y 0.811 * [taylor]: Taking taylor expansion of (pow (pow (cos (/ 1 y)) 2) 1/3) in y 0.811 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (/ 1 y)) 2)))) in y 0.811 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cos (/ 1 y)) 2))) in y 0.811 * [taylor]: Taking taylor expansion of 1/3 in y 0.811 * [taylor]: Taking taylor expansion of (log (pow (cos (/ 1 y)) 2)) in y 0.811 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 2) in y 0.811 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 0.811 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.811 * [taylor]: Taking taylor expansion of y in y 0.848 * [approximate]: Taking taylor expansion of (pow (pow (cos (/ -1 y)) 2) 1/3) in (y) around 0 0.848 * [taylor]: Taking taylor expansion of (pow (pow (cos (/ -1 y)) 2) 1/3) in y 0.848 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (/ -1 y)) 2)))) in y 0.848 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cos (/ -1 y)) 2))) in y 0.848 * [taylor]: Taking taylor expansion of 1/3 in y 0.848 * [taylor]: Taking taylor expansion of (log (pow (cos (/ -1 y)) 2)) in y 0.848 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 2) in y 0.848 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.848 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.848 * [taylor]: Taking taylor expansion of -1 in y 0.848 * [taylor]: Taking taylor expansion of y in y 0.849 * [taylor]: Taking taylor expansion of (pow (pow (cos (/ -1 y)) 2) 1/3) in y 0.849 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (/ -1 y)) 2)))) in y 0.849 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cos (/ -1 y)) 2))) in y 0.849 * [taylor]: Taking taylor expansion of 1/3 in y 0.849 * [taylor]: Taking taylor expansion of (log (pow (cos (/ -1 y)) 2)) in y 0.849 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 2) in y 0.849 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.849 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.849 * [taylor]: Taking taylor expansion of -1 in y 0.849 * [taylor]: Taking taylor expansion of y in y 0.893 * * * [progress]: simplifying candidates 0.894 * [simplify]: Simplifying using # : (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))) (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))) (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))) (+ 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) 0.894 * [simplify]: Sending expressions to egg_math: (log (cbrt (cos h0))) (exp (cbrt (cos h0))) (cbrt (* (cbrt (cos h0)) (cbrt (cos h0)))) (cbrt (cbrt (cos h0))) (cbrt (sqrt (cos h0))) (cbrt (sqrt (cos h0))) (cbrt 1) (cbrt (cos h0)) (* (cbrt (cbrt (cos h0))) (cbrt (cbrt (cos h0)))) (cbrt (cbrt (cos h0))) (* (* (cbrt (cos h0)) (cbrt (cos h0))) (cbrt (cos h0))) (sqrt (cbrt (cos h0))) (sqrt (cbrt (cos h0))) (log (cbrt (cos h0))) (exp (cbrt (cos h0))) (cbrt (* (cbrt (cos h0)) (cbrt (cos h0)))) (cbrt (cbrt (cos h0))) (cbrt (sqrt (cos h0))) (cbrt (sqrt (cos h0))) (cbrt 1) (cbrt (cos h0)) (* (cbrt (cbrt (cos h0))) (cbrt (cbrt (cos h0)))) (cbrt (cbrt (cos h0))) (* (* (cbrt (cos h0)) (cbrt (cos h0))) (cbrt (cos h0))) (sqrt (cbrt (cos h0))) (sqrt (cbrt (cos h0))) (log (cbrt (cos h0))) (exp (cbrt (cos h0))) (cbrt (* (cbrt (cos h0)) (cbrt (cos h0)))) (cbrt (cbrt (cos h0))) (cbrt (sqrt (cos h0))) (cbrt (sqrt (cos h0))) (cbrt 1) (cbrt (cos h0)) (* (cbrt (cbrt (cos h0))) (cbrt (cbrt (cos h0)))) (cbrt (cbrt (cos h0))) (* (* (cbrt (cos h0)) (cbrt (cos h0))) (cbrt (cos h0))) (sqrt (cbrt (cos h0))) (sqrt (cbrt (cos h0))) (+ 1/3 1/3) (+ 1 1) (* (cos h0) (cos h0)) (* (cbrt (cos h0)) (cbrt (cos h0))) (+ 1 1) (+ (log (cbrt (cos h0))) (log (cbrt (cos h0)))) (log (* (cbrt (cos h0)) (cbrt (cos h0)))) (exp (* (cbrt (cos h0)) (cbrt (cos h0)))) (* (cos h0) (cos h0)) (* (cbrt (* (cbrt (cos h0)) (cbrt (cos h0)))) (cbrt (* (cbrt (cos h0)) (cbrt (cos h0))))) (cbrt (* (cbrt (cos h0)) (cbrt (cos h0)))) (* (* (* (cbrt (cos h0)) (cbrt (cos h0))) (* (cbrt (cos h0)) (cbrt (cos h0)))) (* (cbrt (cos h0)) (cbrt (cos h0)))) (sqrt (* (cbrt (cos h0)) (cbrt (cos h0)))) (sqrt (* (cbrt (cos h0)) (cbrt (cos h0)))) (* (cbrt (* (cbrt (cos h0)) (cbrt (cos h0)))) (cbrt (* (cbrt (cos h0)) (cbrt (cos h0))))) (* (cbrt (cbrt (cos h0))) (cbrt (cbrt (cos h0)))) (* (cbrt (sqrt (cos h0))) (cbrt (sqrt (cos h0)))) (* (cbrt (sqrt (cos h0))) (cbrt (sqrt (cos h0)))) (* (cbrt 1) (cbrt 1)) (* (cbrt (cos h0)) (cbrt (cos h0))) (* (* (cbrt (cbrt (cos h0))) (cbrt (cbrt (cos h0)))) (* (cbrt (cbrt (cos h0))) (cbrt (cbrt (cos h0))))) (* (cbrt (cbrt (cos h0))) (cbrt (cbrt (cos h0)))) (* (sqrt (cbrt (cos h0))) (sqrt (cbrt (cos h0)))) (* (sqrt (cbrt (cos h0))) (sqrt (cbrt (cos h0)))) (* 1 1) (* (cbrt (cos h0)) (cbrt (cos h0))) (* (cbrt (sqrt (cos h0))) (cbrt (sqrt (cos h0)))) (* (cbrt (sqrt (cos h0))) (cbrt (sqrt (cos h0)))) (* (cbrt (sqrt (cos h0))) (sqrt (cbrt (cos h0)))) (* (cbrt (sqrt (cos h0))) (sqrt (cbrt (cos h0)))) (* (sqrt (cbrt (cos h0))) (cbrt (sqrt (cos h0)))) (* (sqrt (cbrt (cos h0))) (cbrt (sqrt (cos h0)))) (* (sqrt (cbrt (cos h0))) (sqrt (cbrt (cos h0)))) (* (sqrt (cbrt (cos h0))) (sqrt (cbrt (cos h0)))) (* 2 1/3) (* 2 1) (* (cbrt (cos h0)) (cbrt (* (cbrt (cos h0)) (cbrt (cos h0))))) (* (cbrt (cos h0)) (cbrt (sqrt (cos h0)))) (* (cbrt (cos h0)) (cbrt 1)) (* (cbrt (cos h0)) (* (cbrt (cbrt (cos h0))) (cbrt (cbrt (cos h0))))) (* (cbrt (cos h0)) (sqrt (cbrt (cos h0)))) (* (cbrt (cos h0)) 1) (* (cbrt (cbrt (cos h0))) (cbrt (cos h0))) (* (cbrt (sqrt (cos h0))) (cbrt (cos h0))) (* (cbrt (cos h0)) (cbrt (cos h0))) (* (cbrt (cbrt (cos h0))) (cbrt (cos h0))) (* (sqrt (cbrt (cos h0))) (cbrt (cos h0))) (* (cbrt (cos h0)) (cbrt (cos h0))) (- 1 (+ (* 1/6 (pow h0 2)) (* 1/72 (pow h0 4)))) (pow (cos h0) 1/3) (pow (cos h0) 1/3) (- 1 (+ (* 1/6 (pow h0 2)) (* 1/72 (pow h0 4)))) (pow (cos h0) 1/3) (pow (cos h0) 1/3) (- 1 (+ (* 1/6 (pow h0 2)) (* 1/72 (pow h0 4)))) (pow (cos h0) 1/3) (pow (cos h0) 1/3) (- 1 (+ (* 1/3 (pow h0 2)) (* 1/405 (pow h0 6)))) (pow (pow (cos h0) 2) 1/3) (pow (pow (cos h0) 2) 1/3) 0.898 * * [simplify]: iteration 0 : 122 enodes (cost 441 ) 0.902 * * [simplify]: iteration 1 : 481 enodes (cost 389 ) 0.918 * * [simplify]: iteration 2 : 3180 enodes (cost 357 ) 0.994 * * [simplify]: iteration 3 : 5001 enodes (cost 351 ) 0.996 * [simplify]: Simplified to: (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))) (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))) (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))) 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) 0.997 * * * [progress]: adding candidates to table 1.214 * * [progress]: iteration 3 / 4 1.215 * * * [progress]: picking best candidate 1.234 * * * * [pick]: Picked # 1.234 * * * [progress]: localizing error 1.248 * * * [progress]: generating rewritten candidates 1.248 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 1.250 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 1.252 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1) 1.258 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.289 * * * [progress]: generating series expansions 1.289 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 1.289 * [approximate]: Taking taylor expansion of (pow (cos y) 1/3) in (y) around 0 1.289 * [taylor]: Taking taylor expansion of (pow (cos y) 1/3) in y 1.289 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos y)))) in y 1.289 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos y))) in y 1.289 * [taylor]: Taking taylor expansion of 1/3 in y 1.289 * [taylor]: Taking taylor expansion of (log (cos y)) in y 1.289 * [taylor]: Taking taylor expansion of (cos y) in y 1.289 * [taylor]: Taking taylor expansion of y in y 1.294 * [taylor]: Taking taylor expansion of (pow (cos y) 1/3) in y 1.294 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos y)))) in y 1.294 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos y))) in y 1.294 * [taylor]: Taking taylor expansion of 1/3 in y 1.294 * [taylor]: Taking taylor expansion of (log (cos y)) in y 1.294 * [taylor]: Taking taylor expansion of (cos y) in y 1.294 * [taylor]: Taking taylor expansion of y in y 1.314 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in (y) around 0 1.314 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in y 1.314 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1 y))))) in y 1.314 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1 y)))) in y 1.314 * [taylor]: Taking taylor expansion of 1/3 in y 1.314 * [taylor]: Taking taylor expansion of (log (cos (/ 1 y))) in y 1.314 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 1.314 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.314 * [taylor]: Taking taylor expansion of y in y 1.315 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in y 1.315 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1 y))))) in y 1.315 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1 y)))) in y 1.315 * [taylor]: Taking taylor expansion of 1/3 in y 1.315 * [taylor]: Taking taylor expansion of (log (cos (/ 1 y))) in y 1.315 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 1.315 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.315 * [taylor]: Taking taylor expansion of y in y 1.350 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in (y) around 0 1.350 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in y 1.350 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1 y))))) in y 1.350 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1 y)))) in y 1.350 * [taylor]: Taking taylor expansion of 1/3 in y 1.350 * [taylor]: Taking taylor expansion of (log (cos (/ -1 y))) in y 1.350 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 1.350 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.350 * [taylor]: Taking taylor expansion of -1 in y 1.350 * [taylor]: Taking taylor expansion of y in y 1.351 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in y 1.351 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1 y))))) in y 1.351 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1 y)))) in y 1.351 * [taylor]: Taking taylor expansion of 1/3 in y 1.351 * [taylor]: Taking taylor expansion of (log (cos (/ -1 y))) in y 1.351 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 1.351 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.351 * [taylor]: Taking taylor expansion of -1 in y 1.351 * [taylor]: Taking taylor expansion of y in y 1.383 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 1.384 * [approximate]: Taking taylor expansion of (pow (pow (cos y) 2) 1/3) in (y) around 0 1.384 * [taylor]: Taking taylor expansion of (pow (pow (cos y) 2) 1/3) in y 1.384 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cos y) 2)))) in y 1.384 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cos y) 2))) in y 1.384 * [taylor]: Taking taylor expansion of 1/3 in y 1.384 * [taylor]: Taking taylor expansion of (log (pow (cos y) 2)) in y 1.384 * [taylor]: Taking taylor expansion of (pow (cos y) 2) in y 1.384 * [taylor]: Taking taylor expansion of (cos y) in y 1.384 * [taylor]: Taking taylor expansion of y in y 1.389 * [taylor]: Taking taylor expansion of (pow (pow (cos y) 2) 1/3) in y 1.389 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cos y) 2)))) in y 1.389 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cos y) 2))) in y 1.389 * [taylor]: Taking taylor expansion of 1/3 in y 1.389 * [taylor]: Taking taylor expansion of (log (pow (cos y) 2)) in y 1.389 * [taylor]: Taking taylor expansion of (pow (cos y) 2) in y 1.389 * [taylor]: Taking taylor expansion of (cos y) in y 1.389 * [taylor]: Taking taylor expansion of y in y 1.459 * [approximate]: Taking taylor expansion of (pow (pow (cos (/ 1 y)) 2) 1/3) in (y) around 0 1.459 * [taylor]: Taking taylor expansion of (pow (pow (cos (/ 1 y)) 2) 1/3) in y 1.459 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (/ 1 y)) 2)))) in y 1.459 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cos (/ 1 y)) 2))) in y 1.459 * [taylor]: Taking taylor expansion of 1/3 in y 1.459 * [taylor]: Taking taylor expansion of (log (pow (cos (/ 1 y)) 2)) in y 1.459 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 2) 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 (pow (cos (/ 1 y)) 2) 1/3) in y 1.460 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (/ 1 y)) 2)))) in y 1.460 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cos (/ 1 y)) 2))) in y 1.460 * [taylor]: Taking taylor expansion of 1/3 in y 1.460 * [taylor]: Taking taylor expansion of (log (pow (cos (/ 1 y)) 2)) in y 1.460 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 2) 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 1.504 * [approximate]: Taking taylor expansion of (pow (pow (cos (/ -1 y)) 2) 1/3) in (y) around 0 1.504 * [taylor]: Taking taylor expansion of (pow (pow (cos (/ -1 y)) 2) 1/3) in y 1.504 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (/ -1 y)) 2)))) in y 1.504 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cos (/ -1 y)) 2))) in y 1.504 * [taylor]: Taking taylor expansion of 1/3 in y 1.504 * [taylor]: Taking taylor expansion of (log (pow (cos (/ -1 y)) 2)) in y 1.504 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 2) in y 1.504 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 1.504 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.504 * [taylor]: Taking taylor expansion of -1 in y 1.504 * [taylor]: Taking taylor expansion of y in y 1.505 * [taylor]: Taking taylor expansion of (pow (pow (cos (/ -1 y)) 2) 1/3) in y 1.505 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (/ -1 y)) 2)))) in y 1.505 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cos (/ -1 y)) 2))) in y 1.505 * [taylor]: Taking taylor expansion of 1/3 in y 1.505 * [taylor]: Taking taylor expansion of (log (pow (cos (/ -1 y)) 2)) in y 1.505 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 2) in y 1.505 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 1.505 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.505 * [taylor]: Taking taylor expansion of -1 in y 1.505 * [taylor]: Taking taylor expansion of y in y 1.541 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1) 1.541 * [approximate]: Taking taylor expansion of (pow (cos y) 2) in (y) around 0 1.541 * [taylor]: Taking taylor expansion of (pow (cos y) 2) in y 1.541 * [taylor]: Taking taylor expansion of (cos y) in y 1.541 * [taylor]: Taking taylor expansion of y in y 1.541 * [taylor]: Taking taylor expansion of (pow (cos y) 2) in y 1.541 * [taylor]: Taking taylor expansion of (cos y) in y 1.542 * [taylor]: Taking taylor expansion of y in y 1.547 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 y)) 2) in (y) around 0 1.547 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 2) in y 1.547 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 1.547 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.547 * [taylor]: Taking taylor expansion of y in y 1.547 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 2) in y 1.547 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 1.547 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.547 * [taylor]: Taking taylor expansion of y in y 1.552 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 y)) 2) in (y) around 0 1.552 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 2) in y 1.552 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 1.552 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.552 * [taylor]: Taking taylor expansion of -1 in y 1.552 * [taylor]: Taking taylor expansion of y in y 1.552 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 2) in y 1.552 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 1.552 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.552 * [taylor]: Taking taylor expansion of -1 in y 1.552 * [taylor]: Taking taylor expansion of y in y 1.557 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.557 * [approximate]: Taking taylor expansion of (* z (cos y)) in (z y) around 0 1.557 * [taylor]: Taking taylor expansion of (* z (cos y)) in y 1.557 * [taylor]: Taking taylor expansion of z in y 1.557 * [taylor]: Taking taylor expansion of (cos y) in y 1.557 * [taylor]: Taking taylor expansion of y in y 1.557 * [taylor]: Taking taylor expansion of (* z (cos y)) in z 1.557 * [taylor]: Taking taylor expansion of z in z 1.557 * [taylor]: Taking taylor expansion of (cos y) in z 1.557 * [taylor]: Taking taylor expansion of y in z 1.557 * [taylor]: Taking taylor expansion of (* z (cos y)) in z 1.557 * [taylor]: Taking taylor expansion of z in z 1.557 * [taylor]: Taking taylor expansion of (cos y) in z 1.557 * [taylor]: Taking taylor expansion of y in z 1.558 * [taylor]: Taking taylor expansion of 0 in y 1.559 * [taylor]: Taking taylor expansion of (cos y) in y 1.559 * [taylor]: Taking taylor expansion of y in y 1.562 * [taylor]: Taking taylor expansion of 0 in y 1.565 * [taylor]: Taking taylor expansion of 0 in y 1.566 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 y)) z) in (z y) around 0 1.566 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 y)) z) in y 1.566 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 1.566 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.566 * [taylor]: Taking taylor expansion of y in y 1.566 * [taylor]: Taking taylor expansion of z in y 1.566 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 y)) z) in z 1.566 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in z 1.566 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.566 * [taylor]: Taking taylor expansion of y in z 1.566 * [taylor]: Taking taylor expansion of z in z 1.567 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 y)) z) in z 1.567 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in z 1.567 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.567 * [taylor]: Taking taylor expansion of y in z 1.567 * [taylor]: Taking taylor expansion of z in z 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 y in y 1.569 * [taylor]: Taking taylor expansion of 0 in y 1.572 * [taylor]: Taking taylor expansion of 0 in y 1.576 * [taylor]: Taking taylor expansion of 0 in y 1.576 * [approximate]: Taking taylor expansion of (* -1 (/ (cos (/ -1 y)) z)) in (z y) around 0 1.577 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1 y)) z)) in y 1.577 * [taylor]: Taking taylor expansion of -1 in y 1.577 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 y)) z) in y 1.577 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 1.577 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.577 * [taylor]: Taking taylor expansion of -1 in y 1.577 * [taylor]: Taking taylor expansion of y in y 1.577 * [taylor]: Taking taylor expansion of z in y 1.577 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1 y)) z)) in z 1.577 * [taylor]: Taking taylor expansion of -1 in z 1.577 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 y)) z) in z 1.577 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in z 1.577 * [taylor]: Taking taylor expansion of (/ -1 y) in z 1.577 * [taylor]: Taking taylor expansion of -1 in z 1.577 * [taylor]: Taking taylor expansion of y in z 1.577 * [taylor]: Taking taylor expansion of z in z 1.583 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1 y)) z)) in z 1.583 * [taylor]: Taking taylor expansion of -1 in z 1.583 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 y)) z) in z 1.583 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in z 1.583 * [taylor]: Taking taylor expansion of (/ -1 y) in z 1.583 * [taylor]: Taking taylor expansion of -1 in z 1.583 * [taylor]: Taking taylor expansion of y in z 1.584 * [taylor]: Taking taylor expansion of z in z 1.584 * [taylor]: Taking taylor expansion of (* -1 (cos (/ -1 y))) in y 1.584 * [taylor]: Taking taylor expansion of -1 in y 1.584 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 1.584 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.584 * [taylor]: Taking taylor expansion of -1 in y 1.584 * [taylor]: Taking taylor expansion of y in y 1.587 * [taylor]: Taking taylor expansion of 0 in y 1.591 * [taylor]: Taking taylor expansion of 0 in y 1.595 * [taylor]: Taking taylor expansion of 0 in y 1.596 * * * [progress]: simplifying candidates 1.597 * [simplify]: Simplifying using # : (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))) (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))) (* (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)) (* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y))) (* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y))) (+ (+ (log z) (log (cbrt (pow (cos y) 2)))) (log (cbrt (cos y)))) (+ (log (* z (cbrt (pow (cos y) 2)))) (log (cbrt (cos y)))) (log (* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))) (exp (* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))) (* (* (* (* z z) z) (pow (cos y) 2)) (cos y)) (* (* (* (* z (cbrt (pow (cos y) 2))) (* z (cbrt (pow (cos y) 2)))) (* z (cbrt (pow (cos y) 2)))) (cos y)) (* (cbrt (* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))) (cbrt (* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y))))) (cbrt (* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))) (* (* (* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y))) (* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))) (* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))) (sqrt (* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))) (sqrt (* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))) (* (* z (cbrt (pow (cos y) 2))) (cbrt (* (cbrt (cos y)) (cbrt (cos y))))) (* (* z (cbrt (pow (cos y) 2))) (cbrt (sqrt (cos y)))) (* (* z (cbrt (pow (cos y) 2))) (cbrt 1)) (* (* z (cbrt (pow (cos y) 2))) (* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y))))) (* (* z (cbrt (pow (cos y) 2))) (sqrt (cbrt (cos y)))) (* (* z (cbrt (pow (cos y) 2))) 1) (* (cbrt (pow (cos y) 2)) (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 (+ (* 1/3 (pow y 2)) (* 1/405 (pow y 6)))) (pow (pow (cos y) 2) 1/3) (pow (pow (cos y) 2) 1/3) (- (+ (* 1/3 (pow y 4)) 1) (pow y 2)) (pow (cos y) 2) (pow (cos y) 2) z (* z (cos y)) (* z (cos y)) 1.597 * [simplify]: Sending expressions to egg_math: (log (cbrt (cos h0))) (exp (cbrt (cos h0))) (cbrt (* (cbrt (cos h0)) (cbrt (cos h0)))) (cbrt (cbrt (cos h0))) (cbrt (sqrt (cos h0))) (cbrt (sqrt (cos h0))) (cbrt 1) (cbrt (cos h0)) (* (cbrt (cbrt (cos h0))) (cbrt (cbrt (cos h0)))) (cbrt (cbrt (cos h0))) (* (* (cbrt (cos h0)) (cbrt (cos h0))) (cbrt (cos h0))) (sqrt (cbrt (cos h0))) (sqrt (cbrt (cos h0))) (log (cbrt (pow (cos h0) 2))) (exp (cbrt (pow (cos h0) 2))) (cbrt (pow (* (cbrt (cos h0)) (cbrt (cos h0))) 2)) (cbrt (pow (cbrt (cos h0)) 2)) (cbrt (pow (sqrt (cos h0)) 2)) (cbrt (pow (sqrt (cos h0)) 2)) (cbrt (pow 1 2)) (cbrt (pow (cos h0) 2)) (cbrt (cos h0)) (cbrt (cos h0)) (cbrt (* (cbrt (pow (cos h0) 2)) (cbrt (pow (cos h0) 2)))) (cbrt (cbrt (pow (cos h0) 2))) (cbrt (sqrt (pow (cos h0) 2))) (cbrt (sqrt (pow (cos h0) 2))) (cbrt 1) (cbrt (pow (cos h0) 2)) (cbrt (pow (cos h0) (/ 2 2))) (cbrt (pow (cos h0) (/ 2 2))) (* (cbrt (cbrt (pow (cos h0) 2))) (cbrt (cbrt (pow (cos h0) 2)))) (cbrt (cbrt (pow (cos h0) 2))) (* (* (cbrt (pow (cos h0) 2)) (cbrt (pow (cos h0) 2))) (cbrt (pow (cos h0) 2))) (sqrt (cbrt (pow (cos h0) 2))) (sqrt (cbrt (pow (cos h0) 2))) (* (log (cos h0)) 2) (* (log (cos h0)) 2) (* 1 2) (pow (cos h0) (* (cbrt 2) (cbrt 2))) (pow (cos h0) (sqrt 2)) (pow (cos h0) 1) (pow (* (cbrt (cos h0)) (cbrt (cos h0))) 2) (pow (cbrt (cos h0)) 2) (pow (sqrt (cos h0)) 2) (pow (sqrt (cos h0)) 2) (pow 1 2) (pow (cos h0) 2) (log (pow (cos h0) 2)) (exp (pow (cos h0) 2)) (* (cbrt (pow (cos h0) 2)) (cbrt (pow (cos h0) 2))) (cbrt (pow (cos h0) 2)) (* (* (pow (cos h0) 2) (pow (cos h0) 2)) (pow (cos h0) 2)) (sqrt (pow (cos h0) 2)) (sqrt (pow (cos h0) 2)) (pow (cos h0) (/ 2 2)) (pow (cos h0) (/ 2 2)) (* (* h1 (cbrt (pow (cos h0) 2))) (cbrt (cos h0))) (* (* h1 (cbrt (pow (cos h0) 2))) (cbrt (cos h0))) (+ (+ (log h1) (log (cbrt (pow (cos h0) 2)))) (log (cbrt (cos h0)))) (+ (log (* h1 (cbrt (pow (cos h0) 2)))) (log (cbrt (cos h0)))) (log (* (* h1 (cbrt (pow (cos h0) 2))) (cbrt (cos h0)))) (exp (* (* h1 (cbrt (pow (cos h0) 2))) (cbrt (cos h0)))) (* (* (* (* h1 h1) h1) (pow (cos h0) 2)) (cos h0)) (* (* (* (* h1 (cbrt (pow (cos h0) 2))) (* h1 (cbrt (pow (cos h0) 2)))) (* h1 (cbrt (pow (cos h0) 2)))) (cos h0)) (* (cbrt (* (* h1 (cbrt (pow (cos h0) 2))) (cbrt (cos h0)))) (cbrt (* (* h1 (cbrt (pow (cos h0) 2))) (cbrt (cos h0))))) (cbrt (* (* h1 (cbrt (pow (cos h0) 2))) (cbrt (cos h0)))) (* (* (* (* h1 (cbrt (pow (cos h0) 2))) (cbrt (cos h0))) (* (* h1 (cbrt (pow (cos h0) 2))) (cbrt (cos h0)))) (* (* h1 (cbrt (pow (cos h0) 2))) (cbrt (cos h0)))) (sqrt (* (* h1 (cbrt (pow (cos h0) 2))) (cbrt (cos h0)))) (sqrt (* (* h1 (cbrt (pow (cos h0) 2))) (cbrt (cos h0)))) (* (* h1 (cbrt (pow (cos h0) 2))) (cbrt (* (cbrt (cos h0)) (cbrt (cos h0))))) (* (* h1 (cbrt (pow (cos h0) 2))) (cbrt (sqrt (cos h0)))) (* (* h1 (cbrt (pow (cos h0) 2))) (cbrt 1)) (* (* h1 (cbrt (pow (cos h0) 2))) (* (cbrt (cbrt (cos h0))) (cbrt (cbrt (cos h0))))) (* (* h1 (cbrt (pow (cos h0) 2))) (sqrt (cbrt (cos h0)))) (* (* h1 (cbrt (pow (cos h0) 2))) 1) (* (cbrt (pow (cos h0) 2)) (cbrt (cos h0))) (- 1 (+ (* 1/6 (pow h0 2)) (* 1/72 (pow h0 4)))) (pow (cos h0) 1/3) (pow (cos h0) 1/3) (- 1 (+ (* 1/3 (pow h0 2)) (* 1/405 (pow h0 6)))) (pow (pow (cos h0) 2) 1/3) (pow (pow (cos h0) 2) 1/3) (- (+ (* 1/3 (pow h0 4)) 1) (pow h0 2)) (pow (cos h0) 2) (pow (cos h0) 2) h1 (* h1 (cos h0)) (* h1 (cos h0)) 1.601 * * [simplify]: iteration 0 : 233 enodes (cost 421 ) 1.606 * * [simplify]: iteration 1 : 1069 enodes (cost 364 ) 1.630 * * [simplify]: iteration 2 : 5001 enodes (cost 345 ) 1.632 * [simplify]: Simplified to: (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))) (* 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))) (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) (* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y))) (* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y))) (log (* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))) (log (* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))) (log (* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))) (exp (* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))) (* (pow (cos y) 3) (pow z 3)) (* (pow (cos y) 3) (pow z 3)) (* (cbrt (* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))) (cbrt (* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y))))) (cbrt (* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))) (* (pow (cos y) 3) (pow z 3)) (sqrt (* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))) (sqrt (* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))) (* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (pow (cbrt (cos y)) 2))) (* (* z (cbrt (pow (cos y) 2))) (cbrt (sqrt (cos y)))) (* z (cbrt (pow (cos y) 2))) (* (* z (cbrt (pow (cos y) 2))) (* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y))))) (* (* z (cbrt (pow (cos y) 2))) (sqrt (cbrt (cos y)))) (* z (cbrt (pow (cos y) 2))) (* (cbrt (pow (cos y) 2)) (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 (+ (* 1/3 (pow y 2)) (* 1/405 (pow y 6)))) (pow (pow (cos y) 2) 1/3) (pow (pow (cos y) 2) 1/3) (- (+ (* 1/3 (pow y 4)) 1) (pow y 2)) (pow (cos y) 2) (pow (cos y) 2) z (* z (cos y)) (* z (cos y)) 1.633 * * * [progress]: adding candidates to table 1.840 * * [progress]: iteration 4 / 4 1.840 * * * [progress]: picking best candidate 1.859 * * * * [pick]: Picked # 1.859 * * * [progress]: localizing error 1.875 * * * [progress]: generating rewritten candidates 1.875 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 1.876 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2 1) 1.879 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.972 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 2.005 * * * [progress]: generating series expansions 2.005 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 2.006 * [approximate]: Taking taylor expansion of (pow (cos y) 1/3) in (y) around 0 2.006 * [taylor]: Taking taylor expansion of (pow (cos y) 1/3) in y 2.006 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos y)))) in y 2.006 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos y))) in y 2.006 * [taylor]: Taking taylor expansion of 1/3 in y 2.006 * [taylor]: Taking taylor expansion of (log (cos y)) in y 2.006 * [taylor]: Taking taylor expansion of (cos y) in y 2.006 * [taylor]: Taking taylor expansion of y in y 2.013 * [taylor]: Taking taylor expansion of (pow (cos y) 1/3) in y 2.013 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos y)))) in y 2.013 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos y))) in y 2.013 * [taylor]: Taking taylor expansion of 1/3 in y 2.013 * [taylor]: Taking taylor expansion of (log (cos y)) in y 2.013 * [taylor]: Taking taylor expansion of (cos y) in y 2.013 * [taylor]: Taking taylor expansion of y in y 2.034 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in (y) around 0 2.034 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in y 2.034 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1 y))))) in y 2.034 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1 y)))) in y 2.034 * [taylor]: Taking taylor expansion of 1/3 in y 2.034 * [taylor]: Taking taylor expansion of (log (cos (/ 1 y))) in y 2.034 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 2.034 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.034 * [taylor]: Taking taylor expansion of y in y 2.035 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in y 2.035 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1 y))))) in y 2.035 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1 y)))) in y 2.035 * [taylor]: Taking taylor expansion of 1/3 in y 2.035 * [taylor]: Taking taylor expansion of (log (cos (/ 1 y))) in y 2.035 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 2.035 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.035 * [taylor]: Taking taylor expansion of y in y 2.065 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in (y) around 0 2.065 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in y 2.065 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1 y))))) in y 2.065 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1 y)))) in y 2.065 * [taylor]: Taking taylor expansion of 1/3 in y 2.065 * [taylor]: Taking taylor expansion of (log (cos (/ -1 y))) in y 2.065 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 2.065 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.065 * [taylor]: Taking taylor expansion of -1 in y 2.065 * [taylor]: Taking taylor expansion of y in y 2.065 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in y 2.065 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1 y))))) in y 2.066 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1 y)))) in y 2.066 * [taylor]: Taking taylor expansion of 1/3 in y 2.066 * [taylor]: Taking taylor expansion of (log (cos (/ -1 y))) in y 2.066 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 2.066 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.066 * [taylor]: Taking taylor expansion of -1 in y 2.066 * [taylor]: Taking taylor expansion of y in y 2.102 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2 1) 2.102 * [approximate]: Taking taylor expansion of (pow (cos y) 2) in (y) around 0 2.102 * [taylor]: Taking taylor expansion of (pow (cos y) 2) in y 2.102 * [taylor]: Taking taylor expansion of (cos y) in y 2.102 * [taylor]: Taking taylor expansion of y in y 2.102 * [taylor]: Taking taylor expansion of (pow (cos y) 2) in y 2.102 * [taylor]: Taking taylor expansion of (cos y) in y 2.102 * [taylor]: Taking taylor expansion of y in y 2.108 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 y)) 2) in (y) around 0 2.108 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 2) in y 2.108 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 2.108 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.108 * [taylor]: Taking taylor expansion of y in y 2.108 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 2) in y 2.108 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 2.108 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.108 * [taylor]: Taking taylor expansion of y in y 2.112 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 y)) 2) in (y) around 0 2.112 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 2) in y 2.112 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 2.112 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.112 * [taylor]: Taking taylor expansion of -1 in y 2.112 * [taylor]: Taking taylor expansion of y in y 2.113 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 2) in y 2.113 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 2.113 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.113 * [taylor]: Taking taylor expansion of -1 in y 2.113 * [taylor]: Taking taylor expansion of y in y 2.117 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 2.117 * [approximate]: Taking taylor expansion of (* z (cos y)) in (z y) around 0 2.117 * [taylor]: Taking taylor expansion of (* z (cos y)) in y 2.118 * [taylor]: Taking taylor expansion of z in y 2.118 * [taylor]: Taking taylor expansion of (cos y) in y 2.118 * [taylor]: Taking taylor expansion of y in y 2.118 * [taylor]: Taking taylor expansion of (* z (cos y)) in z 2.118 * [taylor]: Taking taylor expansion of z in z 2.118 * [taylor]: Taking taylor expansion of (cos y) in z 2.118 * [taylor]: Taking taylor expansion of y in z 2.118 * [taylor]: Taking taylor expansion of (* z (cos y)) in z 2.118 * [taylor]: Taking taylor expansion of z in z 2.118 * [taylor]: Taking taylor expansion of (cos y) in z 2.118 * [taylor]: Taking taylor expansion of y in z 2.118 * [taylor]: Taking taylor expansion of 0 in y 2.120 * [taylor]: Taking taylor expansion of (cos y) in y 2.120 * [taylor]: Taking taylor expansion of y in y 2.122 * [taylor]: Taking taylor expansion of 0 in y 2.125 * [taylor]: Taking taylor expansion of 0 in y 2.126 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 y)) z) in (z y) around 0 2.126 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 y)) z) in y 2.126 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 2.126 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.126 * [taylor]: Taking taylor expansion of y in y 2.126 * [taylor]: Taking taylor expansion of z in y 2.126 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 y)) z) in z 2.126 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in z 2.126 * [taylor]: Taking taylor expansion of (/ 1 y) in z 2.126 * [taylor]: Taking taylor expansion of y in z 2.126 * [taylor]: Taking taylor expansion of z in z 2.127 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 y)) z) in z 2.127 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in z 2.127 * [taylor]: Taking taylor expansion of (/ 1 y) in z 2.127 * [taylor]: Taking taylor expansion of y in z 2.127 * [taylor]: Taking taylor expansion of z in z 2.127 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 2.127 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.127 * [taylor]: Taking taylor expansion of y in y 2.130 * [taylor]: Taking taylor expansion of 0 in y 2.132 * [taylor]: Taking taylor expansion of 0 in y 2.136 * [taylor]: Taking taylor expansion of 0 in y 2.136 * [approximate]: Taking taylor expansion of (* -1 (/ (cos (/ -1 y)) z)) in (z y) around 0 2.136 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1 y)) z)) in y 2.136 * [taylor]: Taking taylor expansion of -1 in y 2.136 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 y)) z) in y 2.136 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 2.136 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.136 * [taylor]: Taking taylor expansion of -1 in y 2.136 * [taylor]: Taking taylor expansion of y in y 2.137 * [taylor]: Taking taylor expansion of z in y 2.137 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1 y)) z)) in z 2.137 * [taylor]: Taking taylor expansion of -1 in z 2.137 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 y)) z) in z 2.137 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in z 2.137 * [taylor]: Taking taylor expansion of (/ -1 y) in z 2.137 * [taylor]: Taking taylor expansion of -1 in z 2.137 * [taylor]: Taking taylor expansion of y in z 2.137 * [taylor]: Taking taylor expansion of z in z 2.137 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1 y)) z)) in z 2.137 * [taylor]: Taking taylor expansion of -1 in z 2.137 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 y)) z) in z 2.137 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in z 2.137 * [taylor]: Taking taylor expansion of (/ -1 y) in z 2.137 * [taylor]: Taking taylor expansion of -1 in z 2.137 * [taylor]: Taking taylor expansion of y in z 2.137 * [taylor]: Taking taylor expansion of z in z 2.138 * [taylor]: Taking taylor expansion of (* -1 (cos (/ -1 y))) in y 2.138 * [taylor]: Taking taylor expansion of -1 in y 2.138 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 2.138 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.138 * [taylor]: Taking taylor expansion of -1 in y 2.138 * [taylor]: Taking taylor expansion of y in y 2.141 * [taylor]: Taking taylor expansion of 0 in y 2.144 * [taylor]: Taking taylor expansion of 0 in y 2.149 * [taylor]: Taking taylor expansion of 0 in y 2.149 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 2.149 * [approximate]: Taking taylor expansion of (* (pow (pow (cos y) 2) 1/3) z) in (z y) around 0 2.149 * [taylor]: Taking taylor expansion of (* (pow (pow (cos y) 2) 1/3) z) in y 2.149 * [taylor]: Taking taylor expansion of (pow (pow (cos y) 2) 1/3) in y 2.149 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cos y) 2)))) in y 2.149 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cos y) 2))) in y 2.149 * [taylor]: Taking taylor expansion of 1/3 in y 2.149 * [taylor]: Taking taylor expansion of (log (pow (cos y) 2)) in y 2.149 * [taylor]: Taking taylor expansion of (pow (cos y) 2) in y 2.149 * [taylor]: Taking taylor expansion of (cos y) in y 2.149 * [taylor]: Taking taylor expansion of y in y 2.154 * [taylor]: Taking taylor expansion of z in y 2.154 * [taylor]: Taking taylor expansion of (* (pow (pow (cos y) 2) 1/3) z) in z 2.154 * [taylor]: Taking taylor expansion of (pow (pow (cos y) 2) 1/3) in z 2.154 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cos y) 2)))) in z 2.154 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cos y) 2))) in z 2.154 * [taylor]: Taking taylor expansion of 1/3 in z 2.154 * [taylor]: Taking taylor expansion of (log (pow (cos y) 2)) in z 2.154 * [taylor]: Taking taylor expansion of (pow (cos y) 2) in z 2.154 * [taylor]: Taking taylor expansion of (cos y) in z 2.154 * [taylor]: Taking taylor expansion of y in z 2.155 * [taylor]: Taking taylor expansion of z in z 2.155 * [taylor]: Taking taylor expansion of (* (pow (pow (cos y) 2) 1/3) z) in z 2.155 * [taylor]: Taking taylor expansion of (pow (pow (cos y) 2) 1/3) in z 2.155 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cos y) 2)))) in z 2.155 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cos y) 2))) in z 2.155 * [taylor]: Taking taylor expansion of 1/3 in z 2.155 * [taylor]: Taking taylor expansion of (log (pow (cos y) 2)) in z 2.155 * [taylor]: Taking taylor expansion of (pow (cos y) 2) in z 2.155 * [taylor]: Taking taylor expansion of (cos y) in z 2.155 * [taylor]: Taking taylor expansion of y in z 2.156 * [taylor]: Taking taylor expansion of z in z 2.156 * [taylor]: Taking taylor expansion of 0 in y 2.159 * [taylor]: Taking taylor expansion of (pow (pow (cos y) 2) 1/3) in y 2.159 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cos y) 2)))) in y 2.159 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cos y) 2))) in y 2.159 * [taylor]: Taking taylor expansion of 1/3 in y 2.159 * [taylor]: Taking taylor expansion of (log (pow (cos y) 2)) in y 2.159 * [taylor]: Taking taylor expansion of (pow (cos y) 2) in y 2.159 * [taylor]: Taking taylor expansion of (cos y) in y 2.159 * [taylor]: Taking taylor expansion of y in y 2.169 * [taylor]: Taking taylor expansion of 0 in y 2.176 * [taylor]: Taking taylor expansion of 0 in y 2.177 * [approximate]: Taking taylor expansion of (* (pow (pow (cos (/ 1 y)) 2) 1/3) (/ 1 z)) in (z y) around 0 2.177 * [taylor]: Taking taylor expansion of (* (pow (pow (cos (/ 1 y)) 2) 1/3) (/ 1 z)) in y 2.177 * [taylor]: Taking taylor expansion of (pow (pow (cos (/ 1 y)) 2) 1/3) in y 2.177 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (/ 1 y)) 2)))) in y 2.177 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cos (/ 1 y)) 2))) in y 2.177 * [taylor]: Taking taylor expansion of 1/3 in y 2.177 * [taylor]: Taking taylor expansion of (log (pow (cos (/ 1 y)) 2)) in y 2.177 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 2) in y 2.177 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 2.177 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.177 * [taylor]: Taking taylor expansion of y in y 2.177 * [taylor]: Taking taylor expansion of (/ 1 z) in y 2.177 * [taylor]: Taking taylor expansion of z in y 2.177 * [taylor]: Taking taylor expansion of (* (pow (pow (cos (/ 1 y)) 2) 1/3) (/ 1 z)) in z 2.177 * [taylor]: Taking taylor expansion of (pow (pow (cos (/ 1 y)) 2) 1/3) in z 2.177 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (/ 1 y)) 2)))) in z 2.177 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cos (/ 1 y)) 2))) in z 2.177 * [taylor]: Taking taylor expansion of 1/3 in z 2.177 * [taylor]: Taking taylor expansion of (log (pow (cos (/ 1 y)) 2)) in z 2.177 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 2) in z 2.178 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in z 2.178 * [taylor]: Taking taylor expansion of (/ 1 y) in z 2.178 * [taylor]: Taking taylor expansion of y in z 2.178 * [taylor]: Taking taylor expansion of (/ 1 z) in z 2.178 * [taylor]: Taking taylor expansion of z in z 2.178 * [taylor]: Taking taylor expansion of (* (pow (pow (cos (/ 1 y)) 2) 1/3) (/ 1 z)) in z 2.179 * [taylor]: Taking taylor expansion of (pow (pow (cos (/ 1 y)) 2) 1/3) in z 2.179 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (/ 1 y)) 2)))) in z 2.179 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cos (/ 1 y)) 2))) in z 2.179 * [taylor]: Taking taylor expansion of 1/3 in z 2.179 * [taylor]: Taking taylor expansion of (log (pow (cos (/ 1 y)) 2)) in z 2.179 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 2) in z 2.179 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in z 2.179 * [taylor]: Taking taylor expansion of (/ 1 y) in z 2.179 * [taylor]: Taking taylor expansion of y in z 2.179 * [taylor]: Taking taylor expansion of (/ 1 z) in z 2.179 * [taylor]: Taking taylor expansion of z in z 2.185 * [taylor]: Taking taylor expansion of (pow (pow (cos (/ 1 y)) 2) 1/3) in y 2.185 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (/ 1 y)) 2)))) in y 2.185 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cos (/ 1 y)) 2))) in y 2.185 * [taylor]: Taking taylor expansion of 1/3 in y 2.185 * [taylor]: Taking taylor expansion of (log (pow (cos (/ 1 y)) 2)) in y 2.185 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 2) in y 2.185 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 2.186 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.186 * [taylor]: Taking taylor expansion of y in y 2.190 * [taylor]: Taking taylor expansion of 0 in y 2.197 * [taylor]: Taking taylor expansion of 0 in y 2.207 * [taylor]: Taking taylor expansion of 0 in y 2.207 * [approximate]: Taking taylor expansion of (* -1 (* (pow (pow (cos (/ -1 y)) 2) 1/3) (/ 1 z))) in (z y) around 0 2.207 * [taylor]: Taking taylor expansion of (* -1 (* (pow (pow (cos (/ -1 y)) 2) 1/3) (/ 1 z))) in y 2.207 * [taylor]: Taking taylor expansion of -1 in y 2.207 * [taylor]: Taking taylor expansion of (* (pow (pow (cos (/ -1 y)) 2) 1/3) (/ 1 z)) in y 2.207 * [taylor]: Taking taylor expansion of (pow (pow (cos (/ -1 y)) 2) 1/3) in y 2.207 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (/ -1 y)) 2)))) in y 2.207 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cos (/ -1 y)) 2))) in y 2.207 * [taylor]: Taking taylor expansion of 1/3 in y 2.207 * [taylor]: Taking taylor expansion of (log (pow (cos (/ -1 y)) 2)) in y 2.207 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 2) in y 2.207 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 2.207 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.207 * [taylor]: Taking taylor expansion of -1 in y 2.207 * [taylor]: Taking taylor expansion of y in y 2.208 * [taylor]: Taking taylor expansion of (/ 1 z) in y 2.208 * [taylor]: Taking taylor expansion of z in y 2.208 * [taylor]: Taking taylor expansion of (* -1 (* (pow (pow (cos (/ -1 y)) 2) 1/3) (/ 1 z))) in z 2.208 * [taylor]: Taking taylor expansion of -1 in z 2.208 * [taylor]: Taking taylor expansion of (* (pow (pow (cos (/ -1 y)) 2) 1/3) (/ 1 z)) in z 2.208 * [taylor]: Taking taylor expansion of (pow (pow (cos (/ -1 y)) 2) 1/3) in z 2.208 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (/ -1 y)) 2)))) in z 2.208 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cos (/ -1 y)) 2))) in z 2.208 * [taylor]: Taking taylor expansion of 1/3 in z 2.208 * [taylor]: Taking taylor expansion of (log (pow (cos (/ -1 y)) 2)) in z 2.208 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 2) in z 2.208 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in z 2.208 * [taylor]: Taking taylor expansion of (/ -1 y) in z 2.208 * [taylor]: Taking taylor expansion of -1 in z 2.208 * [taylor]: Taking taylor expansion of y in z 2.209 * [taylor]: Taking taylor expansion of (/ 1 z) in z 2.209 * [taylor]: Taking taylor expansion of z in z 2.209 * [taylor]: Taking taylor expansion of (* -1 (* (pow (pow (cos (/ -1 y)) 2) 1/3) (/ 1 z))) in z 2.209 * [taylor]: Taking taylor expansion of -1 in z 2.209 * [taylor]: Taking taylor expansion of (* (pow (pow (cos (/ -1 y)) 2) 1/3) (/ 1 z)) in z 2.209 * [taylor]: Taking taylor expansion of (pow (pow (cos (/ -1 y)) 2) 1/3) in z 2.209 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (/ -1 y)) 2)))) in z 2.209 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cos (/ -1 y)) 2))) in z 2.209 * [taylor]: Taking taylor expansion of 1/3 in z 2.209 * [taylor]: Taking taylor expansion of (log (pow (cos (/ -1 y)) 2)) in z 2.209 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 2) in z 2.209 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in z 2.209 * [taylor]: Taking taylor expansion of (/ -1 y) in z 2.209 * [taylor]: Taking taylor expansion of -1 in z 2.209 * [taylor]: Taking taylor expansion of y in z 2.210 * [taylor]: Taking taylor expansion of (/ 1 z) in z 2.210 * [taylor]: Taking taylor expansion of z in z 2.211 * [taylor]: Taking taylor expansion of (* -1 (pow (pow (cos (/ -1 y)) 2) 1/3)) in y 2.211 * [taylor]: Taking taylor expansion of -1 in y 2.211 * [taylor]: Taking taylor expansion of (pow (pow (cos (/ -1 y)) 2) 1/3) in y 2.211 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (/ -1 y)) 2)))) in y 2.211 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cos (/ -1 y)) 2))) in y 2.211 * [taylor]: Taking taylor expansion of 1/3 in y 2.211 * [taylor]: Taking taylor expansion of (log (pow (cos (/ -1 y)) 2)) in y 2.211 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 2) in y 2.211 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 2.211 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.211 * [taylor]: Taking taylor expansion of -1 in y 2.211 * [taylor]: Taking taylor expansion of y in y 2.216 * [taylor]: Taking taylor expansion of 0 in y 2.224 * [taylor]: Taking taylor expansion of 0 in y 2.235 * [taylor]: Taking taylor expansion of 0 in y 2.236 * * * [progress]: simplifying candidates 2.237 * [simplify]: Simplifying using # : (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))) (* (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)) (* (* z (* 1 (pow (pow (cos y) 2) 1/3))) (cbrt (cos y))) (* (* z (* 1 (pow (pow (cos y) 2) 1/3))) (cbrt (cos y))) (+ (+ (log z) (+ 0 (* (* (log (cos y)) 2) 1/3))) (log (cbrt (cos y)))) (+ (+ (log z) (+ 0 (* (* (log (cos y)) 2) 1/3))) (log (cbrt (cos y)))) (+ (+ (log z) (+ 0 (* (log (pow (cos y) 2)) 1/3))) (log (cbrt (cos y)))) (+ (+ (log z) (+ 0 (* (log (pow (cos y) 2)) 1/3))) (log (cbrt (cos y)))) (+ (+ (log z) (+ 0 (log (pow (pow (cos y) 2) 1/3)))) (log (cbrt (cos y)))) (+ (+ (log z) (+ (log 1) (* (* (log (cos y)) 2) 1/3))) (log (cbrt (cos y)))) (+ (+ (log z) (+ (log 1) (* (* (log (cos y)) 2) 1/3))) (log (cbrt (cos y)))) (+ (+ (log z) (+ (log 1) (* (log (pow (cos y) 2)) 1/3))) (log (cbrt (cos y)))) (+ (+ (log z) (+ (log 1) (* (log (pow (cos y) 2)) 1/3))) (log (cbrt (cos y)))) (+ (+ (log z) (+ (log 1) (log (pow (pow (cos y) 2) 1/3)))) (log (cbrt (cos y)))) (+ (+ (log z) (log (* 1 (pow (pow (cos y) 2) 1/3)))) (log (cbrt (cos y)))) (+ (log (* z (* 1 (pow (pow (cos y) 2) 1/3)))) (log (cbrt (cos y)))) (log (* (* z (* 1 (pow (pow (cos y) 2) 1/3))) (cbrt (cos y)))) (exp (* (* z (* 1 (pow (pow (cos y) 2) 1/3))) (cbrt (cos y)))) (* (* (* (* z z) z) (* (* (* 1 1) 1) (pow (cos y) 2))) (cos y)) (* (* (* (* z z) z) (* (* (* 1 1) 1) (* (* (pow (pow (cos y) 2) 1/3) (pow (pow (cos y) 2) 1/3)) (pow (pow (cos y) 2) 1/3)))) (cos y)) (* (* (* (* z z) z) (* (* (* 1 (pow (pow (cos y) 2) 1/3)) (* 1 (pow (pow (cos y) 2) 1/3))) (* 1 (pow (pow (cos y) 2) 1/3)))) (cos y)) (* (* (* (* z (* 1 (pow (pow (cos y) 2) 1/3))) (* z (* 1 (pow (pow (cos y) 2) 1/3)))) (* z (* 1 (pow (pow (cos y) 2) 1/3)))) (cos y)) (* (cbrt (* (* z (* 1 (pow (pow (cos y) 2) 1/3))) (cbrt (cos y)))) (cbrt (* (* z (* 1 (pow (pow (cos y) 2) 1/3))) (cbrt (cos y))))) (cbrt (* (* z (* 1 (pow (pow (cos y) 2) 1/3))) (cbrt (cos y)))) (* (* (* (* z (* 1 (pow (pow (cos y) 2) 1/3))) (cbrt (cos y))) (* (* z (* 1 (pow (pow (cos y) 2) 1/3))) (cbrt (cos y)))) (* (* z (* 1 (pow (pow (cos y) 2) 1/3))) (cbrt (cos y)))) (sqrt (* (* z (* 1 (pow (pow (cos y) 2) 1/3))) (cbrt (cos y)))) (sqrt (* (* z (* 1 (pow (pow (cos y) 2) 1/3))) (cbrt (cos y)))) (* (* z (* 1 (pow (pow (cos y) 2) 1/3))) (cbrt (* (cbrt (cos y)) (cbrt (cos y))))) (* (* z (* 1 (pow (pow (cos y) 2) 1/3))) (cbrt (sqrt (cos y)))) (* (* z (* 1 (pow (pow (cos y) 2) 1/3))) (cbrt 1)) (* (* z (* 1 (pow (pow (cos y) 2) 1/3))) (* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y))))) (* (* z (* 1 (pow (pow (cos y) 2) 1/3))) (sqrt (cbrt (cos y)))) (* (* z (* 1 (pow (pow (cos y) 2) 1/3))) 1) (* (* 1 (pow (pow (cos y) 2) 1/3)) (cbrt (cos y))) (* z (* 1 (pow (pow (cos y) 2) 1/3))) (+ (log z) (+ 0 (* (* (log (cos y)) 2) 1/3))) (+ (log z) (+ 0 (* (* (log (cos y)) 2) 1/3))) (+ (log z) (+ 0 (* (log (pow (cos y) 2)) 1/3))) (+ (log z) (+ 0 (* (log (pow (cos y) 2)) 1/3))) (+ (log z) (+ 0 (log (pow (pow (cos y) 2) 1/3)))) (+ (log z) (+ (log 1) (* (* (log (cos y)) 2) 1/3))) (+ (log z) (+ (log 1) (* (* (log (cos y)) 2) 1/3))) (+ (log z) (+ (log 1) (* (log (pow (cos y) 2)) 1/3))) (+ (log z) (+ (log 1) (* (log (pow (cos y) 2)) 1/3))) (+ (log z) (+ (log 1) (log (pow (pow (cos y) 2) 1/3)))) (+ (log z) (log (* 1 (pow (pow (cos y) 2) 1/3)))) (log (* z (* 1 (pow (pow (cos y) 2) 1/3)))) (exp (* z (* 1 (pow (pow (cos y) 2) 1/3)))) (* (* (* z z) z) (* (* (* 1 1) 1) (pow (cos y) 2))) (* (* (* z z) z) (* (* (* 1 1) 1) (* (* (pow (pow (cos y) 2) 1/3) (pow (pow (cos y) 2) 1/3)) (pow (pow (cos y) 2) 1/3)))) (* (* (* z z) z) (* (* (* 1 (pow (pow (cos y) 2) 1/3)) (* 1 (pow (pow (cos y) 2) 1/3))) (* 1 (pow (pow (cos y) 2) 1/3)))) (* (cbrt (* z (* 1 (pow (pow (cos y) 2) 1/3)))) (cbrt (* z (* 1 (pow (pow (cos y) 2) 1/3))))) (cbrt (* z (* 1 (pow (pow (cos y) 2) 1/3)))) (* (* (* z (* 1 (pow (pow (cos y) 2) 1/3))) (* z (* 1 (pow (pow (cos y) 2) 1/3)))) (* z (* 1 (pow (pow (cos y) 2) 1/3)))) (sqrt (* z (* 1 (pow (pow (cos y) 2) 1/3)))) (sqrt (* z (* 1 (pow (pow (cos y) 2) 1/3)))) (* z 1) (* (cbrt z) (* 1 (pow (pow (cos y) 2) 1/3))) (* (sqrt z) (* 1 (pow (pow (cos y) 2) 1/3))) (* z (* 1 (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) z (* z (cos y)) (* z (cos y)) z (* z (pow (pow (cos y) 2) 1/3)) (* z (pow (pow (cos y) 2) 1/3)) 2.238 * [simplify]: Sending expressions to egg_math: (log (cbrt (cos h0))) (exp (cbrt (cos h0))) (cbrt (* (cbrt (cos h0)) (cbrt (cos h0)))) (cbrt (cbrt (cos h0))) (cbrt (sqrt (cos h0))) (cbrt (sqrt (cos h0))) (cbrt 1) (cbrt (cos h0)) (* (cbrt (cbrt (cos h0))) (cbrt (cbrt (cos h0)))) (cbrt (cbrt (cos h0))) (* (* (cbrt (cos h0)) (cbrt (cos h0))) (cbrt (cos h0))) (sqrt (cbrt (cos h0))) (sqrt (cbrt (cos h0))) (* (log (cos h0)) 2) (* (log (cos h0)) 2) (* 1 2) (pow (cos h0) (* (cbrt 2) (cbrt 2))) (pow (cos h0) (sqrt 2)) (pow (cos h0) 1) (pow (* (cbrt (cos h0)) (cbrt (cos h0))) 2) (pow (cbrt (cos h0)) 2) (pow (sqrt (cos h0)) 2) (pow (sqrt (cos h0)) 2) (pow 1 2) (pow (cos h0) 2) (log (pow (cos h0) 2)) (exp (pow (cos h0) 2)) (* (cbrt (pow (cos h0) 2)) (cbrt (pow (cos h0) 2))) (cbrt (pow (cos h0) 2)) (* (* (pow (cos h0) 2) (pow (cos h0) 2)) (pow (cos h0) 2)) (sqrt (pow (cos h0) 2)) (sqrt (pow (cos h0) 2)) (pow (cos h0) (/ 2 2)) (pow (cos h0) (/ 2 2)) (* (* h1 (* 1 (pow (pow (cos h0) 2) 1/3))) (cbrt (cos h0))) (* (* h1 (* 1 (pow (pow (cos h0) 2) 1/3))) (cbrt (cos h0))) (+ (+ (log h1) (+ 0 (* (* (log (cos h0)) 2) 1/3))) (log (cbrt (cos h0)))) (+ (+ (log h1) (+ 0 (* (* (log (cos h0)) 2) 1/3))) (log (cbrt (cos h0)))) (+ (+ (log h1) (+ 0 (* (log (pow (cos h0) 2)) 1/3))) (log (cbrt (cos h0)))) (+ (+ (log h1) (+ 0 (* (log (pow (cos h0) 2)) 1/3))) (log (cbrt (cos h0)))) (+ (+ (log h1) (+ 0 (log (pow (pow (cos h0) 2) 1/3)))) (log (cbrt (cos h0)))) (+ (+ (log h1) (+ (log 1) (* (* (log (cos h0)) 2) 1/3))) (log (cbrt (cos h0)))) (+ (+ (log h1) (+ (log 1) (* (* (log (cos h0)) 2) 1/3))) (log (cbrt (cos h0)))) (+ (+ (log h1) (+ (log 1) (* (log (pow (cos h0) 2)) 1/3))) (log (cbrt (cos h0)))) (+ (+ (log h1) (+ (log 1) (* (log (pow (cos h0) 2)) 1/3))) (log (cbrt (cos h0)))) (+ (+ (log h1) (+ (log 1) (log (pow (pow (cos h0) 2) 1/3)))) (log (cbrt (cos h0)))) (+ (+ (log h1) (log (* 1 (pow (pow (cos h0) 2) 1/3)))) (log (cbrt (cos h0)))) (+ (log (* h1 (* 1 (pow (pow (cos h0) 2) 1/3)))) (log (cbrt (cos h0)))) (log (* (* h1 (* 1 (pow (pow (cos h0) 2) 1/3))) (cbrt (cos h0)))) (exp (* (* h1 (* 1 (pow (pow (cos h0) 2) 1/3))) (cbrt (cos h0)))) (* (* (* (* h1 h1) h1) (* (* (* 1 1) 1) (pow (cos h0) 2))) (cos h0)) (* (* (* (* h1 h1) h1) (* (* (* 1 1) 1) (* (* (pow (pow (cos h0) 2) 1/3) (pow (pow (cos h0) 2) 1/3)) (pow (pow (cos h0) 2) 1/3)))) (cos h0)) (* (* (* (* h1 h1) h1) (* (* (* 1 (pow (pow (cos h0) 2) 1/3)) (* 1 (pow (pow (cos h0) 2) 1/3))) (* 1 (pow (pow (cos h0) 2) 1/3)))) (cos h0)) (* (* (* (* h1 (* 1 (pow (pow (cos h0) 2) 1/3))) (* h1 (* 1 (pow (pow (cos h0) 2) 1/3)))) (* h1 (* 1 (pow (pow (cos h0) 2) 1/3)))) (cos h0)) (* (cbrt (* (* h1 (* 1 (pow (pow (cos h0) 2) 1/3))) (cbrt (cos h0)))) (cbrt (* (* h1 (* 1 (pow (pow (cos h0) 2) 1/3))) (cbrt (cos h0))))) (cbrt (* (* h1 (* 1 (pow (pow (cos h0) 2) 1/3))) (cbrt (cos h0)))) (* (* (* (* h1 (* 1 (pow (pow (cos h0) 2) 1/3))) (cbrt (cos h0))) (* (* h1 (* 1 (pow (pow (cos h0) 2) 1/3))) (cbrt (cos h0)))) (* (* h1 (* 1 (pow (pow (cos h0) 2) 1/3))) (cbrt (cos h0)))) (sqrt (* (* h1 (* 1 (pow (pow (cos h0) 2) 1/3))) (cbrt (cos h0)))) (sqrt (* (* h1 (* 1 (pow (pow (cos h0) 2) 1/3))) (cbrt (cos h0)))) (* (* h1 (* 1 (pow (pow (cos h0) 2) 1/3))) (cbrt (* (cbrt (cos h0)) (cbrt (cos h0))))) (* (* h1 (* 1 (pow (pow (cos h0) 2) 1/3))) (cbrt (sqrt (cos h0)))) (* (* h1 (* 1 (pow (pow (cos h0) 2) 1/3))) (cbrt 1)) (* (* h1 (* 1 (pow (pow (cos h0) 2) 1/3))) (* (cbrt (cbrt (cos h0))) (cbrt (cbrt (cos h0))))) (* (* h1 (* 1 (pow (pow (cos h0) 2) 1/3))) (sqrt (cbrt (cos h0)))) (* (* h1 (* 1 (pow (pow (cos h0) 2) 1/3))) 1) (* (* 1 (pow (pow (cos h0) 2) 1/3)) (cbrt (cos h0))) (* h1 (* 1 (pow (pow (cos h0) 2) 1/3))) (+ (log h1) (+ 0 (* (* (log (cos h0)) 2) 1/3))) (+ (log h1) (+ 0 (* (* (log (cos h0)) 2) 1/3))) (+ (log h1) (+ 0 (* (log (pow (cos h0) 2)) 1/3))) (+ (log h1) (+ 0 (* (log (pow (cos h0) 2)) 1/3))) (+ (log h1) (+ 0 (log (pow (pow (cos h0) 2) 1/3)))) (+ (log h1) (+ (log 1) (* (* (log (cos h0)) 2) 1/3))) (+ (log h1) (+ (log 1) (* (* (log (cos h0)) 2) 1/3))) (+ (log h1) (+ (log 1) (* (log (pow (cos h0) 2)) 1/3))) (+ (log h1) (+ (log 1) (* (log (pow (cos h0) 2)) 1/3))) (+ (log h1) (+ (log 1) (log (pow (pow (cos h0) 2) 1/3)))) (+ (log h1) (log (* 1 (pow (pow (cos h0) 2) 1/3)))) (log (* h1 (* 1 (pow (pow (cos h0) 2) 1/3)))) (exp (* h1 (* 1 (pow (pow (cos h0) 2) 1/3)))) (* (* (* h1 h1) h1) (* (* (* 1 1) 1) (pow (cos h0) 2))) (* (* (* h1 h1) h1) (* (* (* 1 1) 1) (* (* (pow (pow (cos h0) 2) 1/3) (pow (pow (cos h0) 2) 1/3)) (pow (pow (cos h0) 2) 1/3)))) (* (* (* h1 h1) h1) (* (* (* 1 (pow (pow (cos h0) 2) 1/3)) (* 1 (pow (pow (cos h0) 2) 1/3))) (* 1 (pow (pow (cos h0) 2) 1/3)))) (* (cbrt (* h1 (* 1 (pow (pow (cos h0) 2) 1/3)))) (cbrt (* h1 (* 1 (pow (pow (cos h0) 2) 1/3))))) (cbrt (* h1 (* 1 (pow (pow (cos h0) 2) 1/3)))) (* (* (* h1 (* 1 (pow (pow (cos h0) 2) 1/3))) (* h1 (* 1 (pow (pow (cos h0) 2) 1/3)))) (* h1 (* 1 (pow (pow (cos h0) 2) 1/3)))) (sqrt (* h1 (* 1 (pow (pow (cos h0) 2) 1/3)))) (sqrt (* h1 (* 1 (pow (pow (cos h0) 2) 1/3)))) (* h1 1) (* (cbrt h1) (* 1 (pow (pow (cos h0) 2) 1/3))) (* (sqrt h1) (* 1 (pow (pow (cos h0) 2) 1/3))) (* h1 (* 1 (pow (pow (cos h0) 2) 1/3))) (- 1 (+ (* 1/6 (pow h0 2)) (* 1/72 (pow h0 4)))) (pow (cos h0) 1/3) (pow (cos h0) 1/3) (- (+ (* 1/3 (pow h0 4)) 1) (pow h0 2)) (pow (cos h0) 2) (pow (cos h0) 2) h1 (* h1 (cos h0)) (* h1 (cos h0)) h1 (* h1 (pow (pow (cos h0) 2) 1/3)) (* h1 (pow (pow (cos h0) 2) 1/3)) 2.243 * * [simplify]: iteration 0 : 339 enodes (cost 604 ) 2.249 * * [simplify]: iteration 1 : 1414 enodes (cost 527 ) 2.278 * * [simplify]: iteration 2 : 5002 enodes (cost 495 ) 2.280 * [simplify]: Simplified to: (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))) (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 (pow (cos y) 2) 3) (fabs (cos y)) (fabs (cos y)) (cos y) (cos y) (* (pow (cos y) 1/3) (* z (pow (pow (cos y) 2) 1/3))) (* (pow (cos y) 1/3) (* z (pow (pow (cos y) 2) 1/3))) (+ (log (* z (pow (cos y) 1/3))) (* (log (cos y)) 2/3)) (+ (log (* z (pow (cos y) 1/3))) (* (log (cos y)) 2/3)) (+ (log (* z (pow (cos y) 1/3))) (* (log (cos y)) 2/3)) (+ (log (* z (pow (cos y) 1/3))) (* (log (cos y)) 2/3)) (+ (log (* z (pow (cos y) 1/3))) (* (log (cos y)) 2/3)) (+ (log (* z (pow (cos y) 1/3))) (* (log (cos y)) 2/3)) (+ (log (* z (pow (cos y) 1/3))) (* (log (cos y)) 2/3)) (+ (log (* z (pow (cos y) 1/3))) (* (log (cos y)) 2/3)) (+ (log (* z (pow (cos y) 1/3))) (* (log (cos y)) 2/3)) (+ (log (* z (pow (cos y) 1/3))) (* (log (cos y)) 2/3)) (+ (log (* z (pow (cos y) 1/3))) (* (log (cos y)) 2/3)) (+ (log (* z (pow (cos y) 1/3))) (* (log (cos y)) 2/3)) (+ (log (* z (pow (cos y) 1/3))) (* (log (cos y)) 2/3)) (pow (exp z) (* (pow (cos y) 1/3) (pow (pow (cos y) 2) 1/3))) (* (* (pow (cos y) 3) z) (* z z)) (* (* (pow (cos y) 3) z) (* z z)) (* (* (pow (cos y) 3) z) (* z z)) (* (* (pow (cos y) 3) z) (* z z)) (* (cbrt (* (* z (* 1 (pow (pow (cos y) 2) 1/3))) (cbrt (cos y)))) (cbrt (* (* z (* 1 (pow (pow (cos y) 2) 1/3))) (cbrt (cos y))))) (cbrt (* (* z (* 1 (pow (pow (cos y) 2) 1/3))) (cbrt (cos y)))) (* (* (pow (cos y) 3) z) (* z z)) (sqrt (* (* z (* 1 (pow (pow (cos y) 2) 1/3))) (cbrt (cos y)))) (sqrt (* (* z (* 1 (pow (pow (cos y) 2) 1/3))) (cbrt (cos y)))) (* z (* (pow (pow (cos y) 2) 1/3) (cbrt (* (cbrt (cos y)) (cbrt (cos y)))))) (* z (* (pow (pow (cos y) 2) 1/3) (cbrt (sqrt (cos y))))) (* z (pow (pow (cos y) 2) 1/3)) (* (* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cbrt (cos y)))) (cbrt (cbrt (cos y)))) (* z (* (pow (pow (cos y) 2) 1/3) (sqrt (cbrt (cos y))))) (* z (pow (pow (cos y) 2) 1/3)) (* (pow (cos y) 1/3) (pow (pow (cos y) 2) 1/3)) (* z (pow (pow (cos y) 2) 1/3)) (+ (* (log (cos y)) 2/3) (log z)) (+ (* (log (cos y)) 2/3) (log z)) (+ (* (log (cos y)) 2/3) (log z)) (+ (* (log (cos y)) 2/3) (log z)) (+ (* (log (cos y)) 2/3) (log z)) (+ (* (log (cos y)) 2/3) (log z)) (+ (* (log (cos y)) 2/3) (log z)) (+ (* (log (cos y)) 2/3) (log z)) (+ (* (log (cos y)) 2/3) (log z)) (+ (* (log (cos y)) 2/3) (log z)) (+ (* (log (cos y)) 2/3) (log z)) (+ (* (log (cos y)) 2/3) (log z)) (pow (exp z) (pow (pow (cos y) 2) 1/3)) (* (pow z 3) (pow (cos y) 2)) (* (pow z 3) (pow (cos y) 2)) (* (pow z 3) (pow (cos y) 2)) (* (cbrt (* z (* 1 (pow (pow (cos y) 2) 1/3)))) (cbrt (* z (* 1 (pow (pow (cos y) 2) 1/3))))) (cbrt (* z (* 1 (pow (pow (cos y) 2) 1/3)))) (* (pow z 3) (pow (cos y) 2)) (sqrt (* z (* 1 (pow (pow (cos y) 2) 1/3)))) (sqrt (* z (* 1 (pow (pow (cos y) 2) 1/3)))) z (* (pow (pow (cos y) 2) 1/3) (cbrt z)) (* (pow (pow (cos y) 2) 1/3) (sqrt z)) (* z (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) z (* z (cos y)) (* z (cos y)) z (* z (pow (pow (cos y) 2) 1/3)) (* z (pow (pow (cos y) 2) 1/3)) 2.281 * * * [progress]: adding candidates to table 2.513 * [progress]: [Phase 3 of 3] Extracting. 2.513 * * [regime]: Finding splitpoints for: (# # # # # # #) 2.515 * * * [regime-changes]: Trying 3 branch expressions: (z y x) 2.515 * * * * [regimes]: Trying to branch on z from (# # # # # # #) 2.549 * * * * [regimes]: Trying to branch on y from (# # # # # # #) 2.583 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 2.617 * * * [regime]: Found split indices: #