13.233 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.051 * * * [progress]: [2/2] Setting up program. 0.053 * [progress]: [Phase 2 of 3] Improving. 0.053 * [simplify]: Simplifying using # : (+ (+ x (sin y)) (* z (cos y))) 0.055 * * [simplify]: iteration 0 : 13 enodes (cost 5 ) 0.057 * * [simplify]: iteration 1 : 22 enodes (cost 4 ) 0.058 * * [simplify]: iteration 2 : 28 enodes (cost 4 ) 0.059 * * [simplify]: iteration 3 : 28 enodes (cost 4 ) 0.060 * [simplify]: Simplified to: (fma (cos y) z (+ x (sin y))) 0.063 * * [progress]: iteration 1 / 4 0.063 * * * [progress]: picking best candidate 0.065 * * * * [pick]: Picked # 0.065 * * * [progress]: localizing error 0.077 * * * [progress]: generating rewritten candidates 0.077 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.081 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.084 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.102 * * * [progress]: generating series expansions 0.102 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.102 * [approximate]: Taking taylor expansion of (* (cos y) z) in (z y) around 0 0.102 * [taylor]: Taking taylor expansion of (* (cos y) z) in y 0.102 * [taylor]: Taking taylor expansion of (cos y) in y 0.102 * [taylor]: Taking taylor expansion of y in y 0.102 * [taylor]: Taking taylor expansion of z in y 0.102 * [taylor]: Taking taylor expansion of (* (cos y) z) in z 0.102 * [taylor]: Taking taylor expansion of (cos y) in z 0.102 * [taylor]: Taking taylor expansion of y in z 0.102 * [taylor]: Taking taylor expansion of z in z 0.102 * [taylor]: Taking taylor expansion of (* (cos y) z) in z 0.102 * [taylor]: Taking taylor expansion of (cos y) in z 0.102 * [taylor]: Taking taylor expansion of y in z 0.102 * [taylor]: Taking taylor expansion of z in z 0.103 * [taylor]: Taking taylor expansion of 0 in y 0.105 * [taylor]: Taking taylor expansion of (cos y) in y 0.105 * [taylor]: Taking taylor expansion of y in y 0.108 * [taylor]: Taking taylor expansion of 0 in y 0.111 * [taylor]: Taking taylor expansion of 0 in y 0.111 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 y)) z) in (z y) around 0 0.111 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 y)) z) in y 0.111 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 0.111 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.111 * [taylor]: Taking taylor expansion of y in y 0.112 * [taylor]: Taking taylor expansion of z in y 0.112 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 y)) z) in z 0.112 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in z 0.112 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.112 * [taylor]: Taking taylor expansion of y in z 0.112 * [taylor]: Taking taylor expansion of z in z 0.112 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 y)) z) in z 0.112 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in z 0.112 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.112 * [taylor]: Taking taylor expansion of y in z 0.112 * [taylor]: Taking taylor expansion of z in z 0.113 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 0.113 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.113 * [taylor]: Taking taylor expansion of y in y 0.116 * [taylor]: Taking taylor expansion of 0 in y 0.119 * [taylor]: Taking taylor expansion of 0 in y 0.123 * [taylor]: Taking taylor expansion of 0 in y 0.123 * [approximate]: Taking taylor expansion of (* -1 (/ (cos (/ -1 y)) z)) in (z y) around 0 0.123 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1 y)) z)) in y 0.123 * [taylor]: Taking taylor expansion of -1 in y 0.123 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 y)) z) in y 0.123 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.123 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.123 * [taylor]: Taking taylor expansion of -1 in y 0.123 * [taylor]: Taking taylor expansion of y in y 0.123 * [taylor]: Taking taylor expansion of z in y 0.123 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1 y)) z)) in z 0.123 * [taylor]: Taking taylor expansion of -1 in z 0.123 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 y)) z) in z 0.124 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in z 0.124 * [taylor]: Taking taylor expansion of (/ -1 y) in z 0.124 * [taylor]: Taking taylor expansion of -1 in z 0.124 * [taylor]: Taking taylor expansion of y in z 0.124 * [taylor]: Taking taylor expansion of z in z 0.124 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1 y)) z)) in z 0.124 * [taylor]: Taking taylor expansion of -1 in z 0.124 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 y)) z) in z 0.124 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in z 0.124 * [taylor]: Taking taylor expansion of (/ -1 y) in z 0.124 * [taylor]: Taking taylor expansion of -1 in z 0.124 * [taylor]: Taking taylor expansion of y in z 0.124 * [taylor]: Taking taylor expansion of z in z 0.125 * [taylor]: Taking taylor expansion of (* -1 (cos (/ -1 y))) in y 0.125 * [taylor]: Taking taylor expansion of -1 in y 0.125 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.125 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.125 * [taylor]: Taking taylor expansion of -1 in y 0.125 * [taylor]: Taking taylor expansion of y in y 0.128 * [taylor]: Taking taylor expansion of 0 in y 0.132 * [taylor]: Taking taylor expansion of 0 in y 0.137 * [taylor]: Taking taylor expansion of 0 in y 0.137 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.137 * [approximate]: Taking taylor expansion of (+ x (sin y)) in (x y) around 0 0.137 * [taylor]: Taking taylor expansion of (+ x (sin y)) in y 0.137 * [taylor]: Taking taylor expansion of x in y 0.137 * [taylor]: Taking taylor expansion of (sin y) in y 0.137 * [taylor]: Taking taylor expansion of y in y 0.137 * [taylor]: Taking taylor expansion of (+ x (sin y)) in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.137 * [taylor]: Taking taylor expansion of (sin y) in x 0.137 * [taylor]: Taking taylor expansion of y in x 0.137 * [taylor]: Taking taylor expansion of (+ x (sin y)) in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.137 * [taylor]: Taking taylor expansion of (sin y) in x 0.137 * [taylor]: Taking taylor expansion of y in x 0.137 * [taylor]: Taking taylor expansion of (sin y) in y 0.137 * [taylor]: Taking taylor expansion of y in y 0.139 * [taylor]: Taking taylor expansion of 1 in y 0.142 * [taylor]: Taking taylor expansion of 0 in y 0.145 * [taylor]: Taking taylor expansion of 0 in y 0.145 * [approximate]: Taking taylor expansion of (+ (sin (/ 1 y)) (/ 1 x)) in (x y) around 0 0.145 * [taylor]: Taking taylor expansion of (+ (sin (/ 1 y)) (/ 1 x)) in y 0.145 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.145 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.145 * [taylor]: Taking taylor expansion of y in y 0.145 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.145 * [taylor]: Taking taylor expansion of x in y 0.145 * [taylor]: Taking taylor expansion of (+ (sin (/ 1 y)) (/ 1 x)) in x 0.145 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 0.145 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.145 * [taylor]: Taking taylor expansion of y in x 0.145 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.145 * [taylor]: Taking taylor expansion of x in x 0.146 * [taylor]: Taking taylor expansion of (+ (sin (/ 1 y)) (/ 1 x)) in x 0.146 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 0.146 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.146 * [taylor]: Taking taylor expansion of y in x 0.146 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.146 * [taylor]: Taking taylor expansion of 1 in y 0.147 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.147 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.147 * [taylor]: Taking taylor expansion of y in y 0.150 * [taylor]: Taking taylor expansion of 0 in y 0.152 * [taylor]: Taking taylor expansion of 0 in y 0.152 * [approximate]: Taking taylor expansion of (- (sin (/ -1 y)) (/ 1 x)) in (x y) around 0 0.153 * [taylor]: Taking taylor expansion of (- (sin (/ -1 y)) (/ 1 x)) in y 0.153 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.153 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.153 * [taylor]: Taking taylor expansion of -1 in y 0.153 * [taylor]: Taking taylor expansion of y in y 0.157 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.157 * [taylor]: Taking taylor expansion of x in y 0.157 * [taylor]: Taking taylor expansion of (- (sin (/ -1 y)) (/ 1 x)) in x 0.157 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 0.157 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.157 * [taylor]: Taking taylor expansion of -1 in x 0.157 * [taylor]: Taking taylor expansion of y in x 0.157 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.157 * [taylor]: Taking taylor expansion of (- (sin (/ -1 y)) (/ 1 x)) in x 0.157 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 0.157 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.157 * [taylor]: Taking taylor expansion of -1 in x 0.157 * [taylor]: Taking taylor expansion of y in x 0.158 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.158 * [taylor]: Taking taylor expansion of x in x 0.158 * [taylor]: Taking taylor expansion of -1 in y 0.159 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.159 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.159 * [taylor]: Taking taylor expansion of -1 in y 0.159 * [taylor]: Taking taylor expansion of y in y 0.162 * [taylor]: Taking taylor expansion of 0 in y 0.165 * [taylor]: Taking taylor expansion of 0 in y 0.165 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.165 * [approximate]: Taking taylor expansion of (+ x (+ (sin y) (* z (cos y)))) in (x y z) around 0 0.165 * [taylor]: Taking taylor expansion of (+ x (+ (sin y) (* z (cos y)))) in z 0.165 * [taylor]: Taking taylor expansion of x in z 0.165 * [taylor]: Taking taylor expansion of (+ (sin y) (* z (cos y))) in z 0.165 * [taylor]: Taking taylor expansion of (sin y) in z 0.165 * [taylor]: Taking taylor expansion of y in z 0.165 * [taylor]: Taking taylor expansion of (* z (cos y)) in z 0.165 * [taylor]: Taking taylor expansion of z in z 0.165 * [taylor]: Taking taylor expansion of (cos y) in z 0.165 * [taylor]: Taking taylor expansion of y in z 0.165 * [taylor]: Taking taylor expansion of (+ x (+ (sin y) (* z (cos y)))) in y 0.166 * [taylor]: Taking taylor expansion of x in y 0.166 * [taylor]: Taking taylor expansion of (+ (sin y) (* z (cos y))) in y 0.166 * [taylor]: Taking taylor expansion of (sin y) in y 0.166 * [taylor]: Taking taylor expansion of y in y 0.166 * [taylor]: Taking taylor expansion of (* z (cos y)) in y 0.166 * [taylor]: Taking taylor expansion of z in y 0.166 * [taylor]: Taking taylor expansion of (cos y) in y 0.166 * [taylor]: Taking taylor expansion of y in y 0.166 * [taylor]: Taking taylor expansion of (+ x (+ (sin y) (* z (cos y)))) in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.166 * [taylor]: Taking taylor expansion of (+ (sin y) (* z (cos y))) in x 0.166 * [taylor]: Taking taylor expansion of (sin y) in x 0.166 * [taylor]: Taking taylor expansion of y in x 0.166 * [taylor]: Taking taylor expansion of (* z (cos y)) in x 0.166 * [taylor]: Taking taylor expansion of z in x 0.166 * [taylor]: Taking taylor expansion of (cos y) in x 0.166 * [taylor]: Taking taylor expansion of y in x 0.166 * [taylor]: Taking taylor expansion of (+ x (+ (sin y) (* z (cos y)))) in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.166 * [taylor]: Taking taylor expansion of (+ (sin y) (* z (cos y))) in x 0.166 * [taylor]: Taking taylor expansion of (sin y) in x 0.166 * [taylor]: Taking taylor expansion of y in x 0.166 * [taylor]: Taking taylor expansion of (* z (cos y)) in x 0.166 * [taylor]: Taking taylor expansion of z in x 0.166 * [taylor]: Taking taylor expansion of (cos y) in x 0.166 * [taylor]: Taking taylor expansion of y in x 0.167 * [taylor]: Taking taylor expansion of (+ (* z (cos y)) (sin y)) in y 0.167 * [taylor]: Taking taylor expansion of (* z (cos y)) in y 0.167 * [taylor]: Taking taylor expansion of z in y 0.167 * [taylor]: Taking taylor expansion of (cos y) in y 0.167 * [taylor]: Taking taylor expansion of y in y 0.167 * [taylor]: Taking taylor expansion of (sin y) in y 0.167 * [taylor]: Taking taylor expansion of y in y 0.167 * [taylor]: Taking taylor expansion of z in z 0.171 * [taylor]: Taking taylor expansion of 1 in y 0.171 * [taylor]: Taking taylor expansion of 1 in z 0.172 * [taylor]: Taking taylor expansion of 1 in z 0.172 * [approximate]: Taking taylor expansion of (+ (sin (/ 1 y)) (+ (/ (cos (/ 1 y)) z) (/ 1 x))) in (x y z) around 0 0.172 * [taylor]: Taking taylor expansion of (+ (sin (/ 1 y)) (+ (/ (cos (/ 1 y)) z) (/ 1 x))) in z 0.173 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in z 0.173 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.173 * [taylor]: Taking taylor expansion of y in z 0.173 * [taylor]: Taking taylor expansion of (+ (/ (cos (/ 1 y)) z) (/ 1 x)) in z 0.173 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 y)) z) in z 0.173 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in z 0.173 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.173 * [taylor]: Taking taylor expansion of y in z 0.173 * [taylor]: Taking taylor expansion of z in z 0.173 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.173 * [taylor]: Taking taylor expansion of x in z 0.173 * [taylor]: Taking taylor expansion of (+ (sin (/ 1 y)) (+ (/ (cos (/ 1 y)) z) (/ 1 x))) in y 0.173 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.174 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.174 * [taylor]: Taking taylor expansion of y in y 0.174 * [taylor]: Taking taylor expansion of (+ (/ (cos (/ 1 y)) z) (/ 1 x)) in y 0.174 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 y)) z) in y 0.174 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 0.174 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.174 * [taylor]: Taking taylor expansion of y in y 0.174 * [taylor]: Taking taylor expansion of z in y 0.174 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.174 * [taylor]: Taking taylor expansion of x in y 0.174 * [taylor]: Taking taylor expansion of (+ (sin (/ 1 y)) (+ (/ (cos (/ 1 y)) z) (/ 1 x))) in x 0.174 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 0.174 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.174 * [taylor]: Taking taylor expansion of y in x 0.174 * [taylor]: Taking taylor expansion of (+ (/ (cos (/ 1 y)) z) (/ 1 x)) in x 0.175 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 y)) z) in x 0.175 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 0.175 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.175 * [taylor]: Taking taylor expansion of y in x 0.175 * [taylor]: Taking taylor expansion of z in x 0.175 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.175 * [taylor]: Taking taylor expansion of x in x 0.175 * [taylor]: Taking taylor expansion of (+ (sin (/ 1 y)) (+ (/ (cos (/ 1 y)) z) (/ 1 x))) in x 0.175 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in x 0.175 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.175 * [taylor]: Taking taylor expansion of y in x 0.175 * [taylor]: Taking taylor expansion of (+ (/ (cos (/ 1 y)) z) (/ 1 x)) in x 0.175 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 y)) z) in x 0.175 * [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 y in x 0.176 * [taylor]: Taking taylor expansion of z in x 0.176 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.177 * [taylor]: Taking taylor expansion of 1 in y 0.177 * [taylor]: Taking taylor expansion of 1 in z 0.178 * [taylor]: Taking taylor expansion of (+ (sin (/ 1 y)) (/ (cos (/ 1 y)) z)) in y 0.178 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in y 0.178 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.178 * [taylor]: Taking taylor expansion of y in y 0.178 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 y)) z) in y 0.178 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 0.178 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.178 * [taylor]: Taking taylor expansion of y in y 0.178 * [taylor]: Taking taylor expansion of z in y 0.178 * [taylor]: Taking taylor expansion of (+ (sin (/ 1 y)) (/ (cos (/ 1 y)) z)) in z 0.179 * [taylor]: Taking taylor expansion of (sin (/ 1 y)) in z 0.179 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.179 * [taylor]: Taking taylor expansion of y in z 0.179 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 y)) z) in z 0.179 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in z 0.179 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.179 * [taylor]: Taking taylor expansion of y in z 0.179 * [taylor]: Taking taylor expansion of z in z 0.179 * [taylor]: Taking taylor expansion of 0 in z 0.183 * [taylor]: Taking taylor expansion of 0 in y 0.184 * [taylor]: Taking taylor expansion of 0 in z 0.184 * [taylor]: Taking taylor expansion of 0 in z 0.184 * [taylor]: Taking taylor expansion of 0 in z 0.187 * [approximate]: Taking taylor expansion of (- (sin (/ -1 y)) (+ (/ (cos (/ -1 y)) z) (/ 1 x))) in (x y z) around 0 0.187 * [taylor]: Taking taylor expansion of (- (sin (/ -1 y)) (+ (/ (cos (/ -1 y)) z) (/ 1 x))) in z 0.187 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in z 0.187 * [taylor]: Taking taylor expansion of (/ -1 y) in z 0.187 * [taylor]: Taking taylor expansion of -1 in z 0.187 * [taylor]: Taking taylor expansion of y in z 0.187 * [taylor]: Taking taylor expansion of (+ (/ (cos (/ -1 y)) z) (/ 1 x)) in z 0.187 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 y)) z) in z 0.187 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in z 0.187 * [taylor]: Taking taylor expansion of (/ -1 y) in z 0.187 * [taylor]: Taking taylor expansion of -1 in z 0.187 * [taylor]: Taking taylor expansion of y in z 0.187 * [taylor]: Taking taylor expansion of z in z 0.188 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.188 * [taylor]: Taking taylor expansion of x in z 0.188 * [taylor]: Taking taylor expansion of (- (sin (/ -1 y)) (+ (/ (cos (/ -1 y)) z) (/ 1 x))) in y 0.188 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.188 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.188 * [taylor]: Taking taylor expansion of -1 in y 0.188 * [taylor]: Taking taylor expansion of y in y 0.188 * [taylor]: Taking taylor expansion of (+ (/ (cos (/ -1 y)) z) (/ 1 x)) in y 0.188 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 y)) z) in y 0.188 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.188 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.188 * [taylor]: Taking taylor expansion of -1 in y 0.188 * [taylor]: Taking taylor expansion of y in y 0.189 * [taylor]: Taking taylor expansion of z in y 0.189 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.189 * [taylor]: Taking taylor expansion of x in y 0.189 * [taylor]: Taking taylor expansion of (- (sin (/ -1 y)) (+ (/ (cos (/ -1 y)) z) (/ 1 x))) in x 0.189 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 0.189 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.189 * [taylor]: Taking taylor expansion of -1 in x 0.189 * [taylor]: Taking taylor expansion of y in x 0.189 * [taylor]: Taking taylor expansion of (+ (/ (cos (/ -1 y)) z) (/ 1 x)) in x 0.189 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 y)) z) in x 0.189 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 0.189 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.189 * [taylor]: Taking taylor expansion of -1 in x 0.189 * [taylor]: Taking taylor expansion of y in x 0.189 * [taylor]: Taking taylor expansion of z in x 0.190 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.190 * [taylor]: Taking taylor expansion of (- (sin (/ -1 y)) (+ (/ (cos (/ -1 y)) z) (/ 1 x))) in x 0.190 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in x 0.190 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.190 * [taylor]: Taking taylor expansion of -1 in x 0.190 * [taylor]: Taking taylor expansion of y in x 0.190 * [taylor]: Taking taylor expansion of (+ (/ (cos (/ -1 y)) z) (/ 1 x)) in x 0.190 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 y)) z) in x 0.190 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 0.190 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.190 * [taylor]: Taking taylor expansion of -1 in x 0.190 * [taylor]: Taking taylor expansion of y in x 0.190 * [taylor]: Taking taylor expansion of z in x 0.191 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.192 * [taylor]: Taking taylor expansion of -1 in y 0.192 * [taylor]: Taking taylor expansion of -1 in z 0.192 * [taylor]: Taking taylor expansion of (- (sin (/ -1 y)) (/ (cos (/ -1 y)) z)) in y 0.192 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in y 0.192 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.192 * [taylor]: Taking taylor expansion of -1 in y 0.192 * [taylor]: Taking taylor expansion of y in y 0.193 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 y)) z) in y 0.193 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.193 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.193 * [taylor]: Taking taylor expansion of -1 in y 0.193 * [taylor]: Taking taylor expansion of y in y 0.193 * [taylor]: Taking taylor expansion of z in y 0.193 * [taylor]: Taking taylor expansion of (- (sin (/ -1 y)) (/ (cos (/ -1 y)) z)) in z 0.193 * [taylor]: Taking taylor expansion of (sin (/ -1 y)) in z 0.193 * [taylor]: Taking taylor expansion of (/ -1 y) in z 0.193 * [taylor]: Taking taylor expansion of -1 in z 0.193 * [taylor]: Taking taylor expansion of y in z 0.193 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 y)) z) in z 0.194 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in z 0.194 * [taylor]: Taking taylor expansion of (/ -1 y) in z 0.194 * [taylor]: Taking taylor expansion of -1 in z 0.194 * [taylor]: Taking taylor expansion of y in z 0.194 * [taylor]: Taking taylor expansion of z in z 0.194 * [taylor]: Taking taylor expansion of 0 in z 0.199 * [taylor]: Taking taylor expansion of 0 in y 0.199 * [taylor]: Taking taylor expansion of 0 in z 0.199 * [taylor]: Taking taylor expansion of 0 in z 0.199 * [taylor]: Taking taylor expansion of 0 in z 0.203 * * * [progress]: simplifying candidates 0.203 * [simplify]: Simplifying using # : (expm1 (* z (cos y))) (log1p (* z (cos y))) (* 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)) (expm1 (+ x (sin y))) (log1p (+ x (sin 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)) (expm1 (+ (+ x (sin y)) (* z (cos y)))) (log1p (+ (+ x (sin 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))) z (* z (cos y)) (* z (cos y)) (+ x y) (+ x (sin y)) (+ x (sin y)) (+ x (+ z y)) (+ x (+ (sin y) (* z (cos y)))) (+ x (+ (sin y) (* z (cos y)))) 0.207 * * [simplify]: iteration 0 : 208 enodes (cost 268 ) 0.211 * * [simplify]: iteration 1 : 743 enodes (cost 242 ) 0.226 * * [simplify]: iteration 2 : 2955 enodes (cost 242 ) 0.278 * * [simplify]: iteration 3 : 5001 enodes (cost 242 ) 0.279 * [simplify]: Simplified to: (expm1 (* z (cos y))) (log1p (* z (cos y))) (* 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)) (expm1 (+ x (sin y))) (log1p (+ x (sin 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)) (fma (sin y) (- (sin y) x) (* x x)) (- (* x x) (* (sin y) (sin y))) (- x (sin y)) (+ x (sin y)) (expm1 (+ (+ x (sin y)) (* z (cos y)))) (log1p (+ (+ x (sin y)) (* z (cos y)))) (exp (fma (cos y) z (+ x (sin y)))) (exp (fma (cos y) z (+ x (sin y)))) (log (+ (+ x (sin y)) (* z (cos y)))) (exp (fma (cos y) z (+ x (sin y)))) (* (cbrt (+ (+ x (sin y)) (* z (cos y)))) (cbrt (+ (+ x (sin y)) (* z (cos y))))) (cbrt (+ (+ x (sin y)) (* z (cos y)))) (pow (fma (cos y) z (+ x (sin 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)) (fma (* z (cos y)) (- (* z (cos y)) (+ x (sin y))) (* (+ x (sin y)) (+ x (sin y)))) (* (fma (cos y) z (+ x (sin y))) (- (+ x (sin y)) (* z (cos y)))) (- (+ x (sin y)) (* z (cos y))) (fma (cos y) z (sin y)) z (* z (cos y)) (* z (cos y)) (+ x y) (+ x (sin y)) (+ x (sin y)) (+ x (+ z y)) (fma (cos y) z (+ x (sin y))) (fma (cos y) z (+ x (sin y))) 0.280 * * * [progress]: adding candidates to table 0.434 * * [progress]: iteration 2 / 4 0.434 * * * [progress]: picking best candidate 0.453 * * * * [pick]: Picked # 0.453 * * * [progress]: localizing error 0.466 * * * [progress]: generating rewritten candidates 0.466 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.467 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2) 0.467 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1) 0.468 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 0.479 * * * [progress]: generating series expansions 0.479 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.479 * [approximate]: Taking taylor expansion of (pow (cos y) 1/3) in (y) around 0 0.480 * [taylor]: Taking taylor expansion of (pow (cos y) 1/3) in y 0.480 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos y)))) in y 0.480 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos y))) in y 0.480 * [taylor]: Taking taylor expansion of 1/3 in y 0.480 * [taylor]: Taking taylor expansion of (log (cos y)) in y 0.480 * [taylor]: Taking taylor expansion of (cos y) in y 0.480 * [taylor]: Taking taylor expansion of y in y 0.484 * [taylor]: Taking taylor expansion of (pow (cos y) 1/3) in y 0.485 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos y)))) in y 0.485 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos y))) in y 0.485 * [taylor]: Taking taylor expansion of 1/3 in y 0.485 * [taylor]: Taking taylor expansion of (log (cos y)) in y 0.485 * [taylor]: Taking taylor expansion of (cos y) in y 0.485 * [taylor]: Taking taylor expansion of y in y 0.506 * [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 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 y in y 0.540 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in (y) around 0 0.540 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in y 0.540 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1 y))))) in y 0.540 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1 y)))) in y 0.540 * [taylor]: Taking taylor expansion of 1/3 in y 0.540 * [taylor]: Taking taylor expansion of (log (cos (/ -1 y))) in y 0.540 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.540 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.540 * [taylor]: Taking taylor expansion of -1 in y 0.540 * [taylor]: Taking taylor expansion of y in y 0.540 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in y 0.540 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1 y))))) in y 0.540 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1 y)))) in y 0.540 * [taylor]: Taking taylor expansion of 1/3 in y 0.540 * [taylor]: Taking taylor expansion of (log (cos (/ -1 y))) in y 0.540 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.540 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.540 * [taylor]: Taking taylor expansion of -1 in y 0.540 * [taylor]: Taking taylor expansion of y in y 0.579 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2) 0.579 * [approximate]: Taking taylor expansion of (pow (cos y) 1/3) in (y) around 0 0.579 * [taylor]: Taking taylor expansion of (pow (cos y) 1/3) in y 0.579 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos y)))) in y 0.579 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos y))) in y 0.579 * [taylor]: Taking taylor expansion of 1/3 in y 0.579 * [taylor]: Taking taylor expansion of (log (cos y)) in y 0.579 * [taylor]: Taking taylor expansion of (cos y) in y 0.579 * [taylor]: Taking taylor expansion of y in y 0.583 * [taylor]: Taking taylor expansion of (pow (cos y) 1/3) in y 0.583 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos y)))) in y 0.583 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos y))) in y 0.584 * [taylor]: Taking taylor expansion of 1/3 in y 0.584 * [taylor]: Taking taylor expansion of (log (cos y)) in y 0.584 * [taylor]: Taking taylor expansion of (cos y) in y 0.584 * [taylor]: Taking taylor expansion of y in y 0.604 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in (y) around 0 0.604 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in y 0.604 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1 y))))) in y 0.604 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1 y)))) in y 0.604 * [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 y in y 0.605 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in y 0.605 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1 y))))) in y 0.605 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1 y)))) in y 0.605 * [taylor]: Taking taylor expansion of 1/3 in y 0.605 * [taylor]: Taking taylor expansion of (log (cos (/ 1 y))) in y 0.605 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 0.605 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.605 * [taylor]: Taking taylor expansion of y in y 0.643 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in (y) around 0 0.643 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in y 0.643 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1 y))))) in y 0.643 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1 y)))) in y 0.643 * [taylor]: Taking taylor expansion of 1/3 in y 0.643 * [taylor]: Taking taylor expansion of (log (cos (/ -1 y))) in y 0.643 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.643 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.643 * [taylor]: Taking taylor expansion of -1 in y 0.643 * [taylor]: Taking taylor expansion of y in y 0.644 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in y 0.644 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1 y))))) in y 0.644 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1 y)))) in y 0.644 * [taylor]: Taking taylor expansion of 1/3 in y 0.644 * [taylor]: Taking taylor expansion of (log (cos (/ -1 y))) in y 0.644 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.644 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.644 * [taylor]: Taking taylor expansion of -1 in y 0.644 * [taylor]: Taking taylor expansion of y in y 0.676 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1) 0.676 * [approximate]: Taking taylor expansion of (pow (cos y) 1/3) in (y) around 0 0.676 * [taylor]: Taking taylor expansion of (pow (cos y) 1/3) in y 0.676 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos y)))) in y 0.676 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos y))) in y 0.676 * [taylor]: Taking taylor expansion of 1/3 in y 0.676 * [taylor]: Taking taylor expansion of (log (cos y)) in y 0.676 * [taylor]: Taking taylor expansion of (cos y) in y 0.676 * [taylor]: Taking taylor expansion of y in y 0.681 * [taylor]: Taking taylor expansion of (pow (cos y) 1/3) in y 0.681 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos y)))) in y 0.681 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos y))) in y 0.681 * [taylor]: Taking taylor expansion of 1/3 in y 0.681 * [taylor]: Taking taylor expansion of (log (cos y)) in y 0.681 * [taylor]: Taking taylor expansion of (cos y) in y 0.681 * [taylor]: Taking taylor expansion of y in y 0.702 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in (y) around 0 0.702 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in y 0.702 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1 y))))) in y 0.702 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1 y)))) in y 0.702 * [taylor]: Taking taylor expansion of 1/3 in y 0.702 * [taylor]: Taking taylor expansion of (log (cos (/ 1 y))) in y 0.702 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 0.702 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.702 * [taylor]: Taking taylor expansion of y in y 0.703 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in y 0.703 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1 y))))) in y 0.703 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1 y)))) in y 0.703 * [taylor]: Taking taylor expansion of 1/3 in y 0.703 * [taylor]: Taking taylor expansion of (log (cos (/ 1 y))) in y 0.703 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 0.703 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.703 * [taylor]: Taking taylor expansion of y in y 0.742 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in (y) around 0 0.742 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in y 0.742 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1 y))))) in y 0.742 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1 y)))) in y 0.742 * [taylor]: Taking taylor expansion of 1/3 in y 0.742 * [taylor]: Taking taylor expansion of (log (cos (/ -1 y))) in y 0.742 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.743 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.743 * [taylor]: Taking taylor expansion of -1 in y 0.743 * [taylor]: Taking taylor expansion of y in y 0.743 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in y 0.743 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1 y))))) in y 0.743 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1 y)))) in y 0.743 * [taylor]: Taking taylor expansion of 1/3 in y 0.743 * [taylor]: Taking taylor expansion of (log (cos (/ -1 y))) in y 0.743 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.743 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.743 * [taylor]: Taking taylor expansion of -1 in y 0.743 * [taylor]: Taking taylor expansion of y in y 0.777 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 0.777 * [approximate]: Taking taylor expansion of (pow (pow (cos y) 2) 1/3) in (y) around 0 0.777 * [taylor]: Taking taylor expansion of (pow (pow (cos y) 2) 1/3) in y 0.777 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cos y) 2)))) in y 0.777 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cos y) 2))) in y 0.777 * [taylor]: Taking taylor expansion of 1/3 in y 0.777 * [taylor]: Taking taylor expansion of (log (pow (cos y) 2)) in y 0.777 * [taylor]: Taking taylor expansion of (pow (cos y) 2) in y 0.777 * [taylor]: Taking taylor expansion of (cos y) in y 0.777 * [taylor]: Taking taylor expansion of y in y 0.783 * [taylor]: Taking taylor expansion of (pow (pow (cos y) 2) 1/3) in y 0.783 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cos y) 2)))) in y 0.783 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cos y) 2))) in y 0.783 * [taylor]: Taking taylor expansion of 1/3 in y 0.783 * [taylor]: Taking taylor expansion of (log (pow (cos y) 2)) in y 0.783 * [taylor]: Taking taylor expansion of (pow (cos y) 2) in y 0.783 * [taylor]: Taking taylor expansion of (cos y) in y 0.783 * [taylor]: Taking taylor expansion of y in y 0.853 * [approximate]: Taking taylor expansion of (pow (pow (cos (/ 1 y)) 2) 1/3) in (y) around 0 0.853 * [taylor]: Taking taylor expansion of (pow (pow (cos (/ 1 y)) 2) 1/3) in y 0.853 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (/ 1 y)) 2)))) in y 0.853 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cos (/ 1 y)) 2))) in y 0.853 * [taylor]: Taking taylor expansion of 1/3 in y 0.853 * [taylor]: Taking taylor expansion of (log (pow (cos (/ 1 y)) 2)) in y 0.853 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 2) in y 0.853 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 0.853 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.853 * [taylor]: Taking taylor expansion of y in y 0.854 * [taylor]: Taking taylor expansion of (pow (pow (cos (/ 1 y)) 2) 1/3) in y 0.854 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (/ 1 y)) 2)))) in y 0.854 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cos (/ 1 y)) 2))) in y 0.854 * [taylor]: Taking taylor expansion of 1/3 in y 0.854 * [taylor]: Taking taylor expansion of (log (pow (cos (/ 1 y)) 2)) in y 0.854 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 2) in y 0.854 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 0.854 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.854 * [taylor]: Taking taylor expansion of y in y 0.900 * [approximate]: Taking taylor expansion of (pow (pow (cos (/ -1 y)) 2) 1/3) in (y) around 0 0.900 * [taylor]: Taking taylor expansion of (pow (pow (cos (/ -1 y)) 2) 1/3) in y 0.900 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (/ -1 y)) 2)))) in y 0.900 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cos (/ -1 y)) 2))) in y 0.900 * [taylor]: Taking taylor expansion of 1/3 in y 0.900 * [taylor]: Taking taylor expansion of (log (pow (cos (/ -1 y)) 2)) in y 0.900 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 2) in y 0.900 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.900 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.900 * [taylor]: Taking taylor expansion of -1 in y 0.900 * [taylor]: Taking taylor expansion of y in y 0.901 * [taylor]: Taking taylor expansion of (pow (pow (cos (/ -1 y)) 2) 1/3) in y 0.901 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (/ -1 y)) 2)))) in y 0.901 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cos (/ -1 y)) 2))) in y 0.901 * [taylor]: Taking taylor expansion of 1/3 in y 0.901 * [taylor]: Taking taylor expansion of (log (pow (cos (/ -1 y)) 2)) in y 0.901 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 2) in y 0.901 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.901 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.901 * [taylor]: Taking taylor expansion of -1 in y 0.901 * [taylor]: Taking taylor expansion of y in y 0.939 * * * [progress]: simplifying candidates 0.940 * [simplify]: Simplifying using # : (expm1 (cbrt (cos y))) (log1p (cbrt (cos y))) (log (cbrt (cos y))) (exp (cbrt (cos y))) (cbrt (* (cbrt (cos y)) (cbrt (cos y)))) (cbrt (cbrt (cos y))) (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y))) (cbrt 1) (cbrt (cos y)) (* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y)))) (cbrt (cbrt (cos y))) (* (* (cbrt (cos y)) (cbrt (cos y))) (cbrt (cos y))) (sqrt (cbrt (cos y))) (sqrt (cbrt (cos y))) (expm1 (cbrt (cos y))) (log1p (cbrt (cos y))) (log (cbrt (cos y))) (exp (cbrt (cos y))) (cbrt (* (cbrt (cos y)) (cbrt (cos y)))) (cbrt (cbrt (cos y))) (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y))) (cbrt 1) (cbrt (cos y)) (* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y)))) (cbrt (cbrt (cos y))) (* (* (cbrt (cos y)) (cbrt (cos y))) (cbrt (cos y))) (sqrt (cbrt (cos y))) (sqrt (cbrt (cos y))) (expm1 (cbrt (cos y))) (log1p (cbrt (cos y))) (log (cbrt (cos y))) (exp (cbrt (cos y))) (cbrt (* (cbrt (cos y)) (cbrt (cos y)))) (cbrt (cbrt (cos y))) (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y))) (cbrt 1) (cbrt (cos y)) (* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y)))) (cbrt (cbrt (cos y))) (* (* (cbrt (cos y)) (cbrt (cos y))) (cbrt (cos y))) (sqrt (cbrt (cos y))) (sqrt (cbrt (cos y))) (expm1 (* (cbrt (cos y)) (cbrt (cos y)))) (log1p (* (cbrt (cos y)) (cbrt (cos y)))) (+ 1/3 1/3) (+ 1 1) (* (cos y) (cos y)) (* (cbrt (cos y)) (cbrt (cos y))) (+ 1 1) (+ (log (cbrt (cos y))) (log (cbrt (cos y)))) (log (* (cbrt (cos y)) (cbrt (cos y)))) (exp (* (cbrt (cos y)) (cbrt (cos y)))) (* (cos y) (cos y)) (* (cbrt (* (cbrt (cos y)) (cbrt (cos y)))) (cbrt (* (cbrt (cos y)) (cbrt (cos y))))) (cbrt (* (cbrt (cos y)) (cbrt (cos y)))) (* (* (* (cbrt (cos y)) (cbrt (cos y))) (* (cbrt (cos y)) (cbrt (cos y)))) (* (cbrt (cos y)) (cbrt (cos y)))) (sqrt (* (cbrt (cos y)) (cbrt (cos y)))) (sqrt (* (cbrt (cos y)) (cbrt (cos y)))) (* (cbrt (* (cbrt (cos y)) (cbrt (cos y)))) (cbrt (* (cbrt (cos y)) (cbrt (cos y))))) (* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y)))) (* (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y)))) (* (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y)))) (* (cbrt 1) (cbrt 1)) (* (cbrt (cos y)) (cbrt (cos y))) (* (* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y)))) (* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y))))) (* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y)))) (* (sqrt (cbrt (cos y))) (sqrt (cbrt (cos y)))) (* (sqrt (cbrt (cos y))) (sqrt (cbrt (cos y)))) (* 1 1) (* (cbrt (cos y)) (cbrt (cos y))) (* (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y)))) (* (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y)))) (* (cbrt (sqrt (cos y))) (sqrt (cbrt (cos y)))) (* (cbrt (sqrt (cos y))) (sqrt (cbrt (cos y)))) (* (sqrt (cbrt (cos y))) (cbrt (sqrt (cos y)))) (* (sqrt (cbrt (cos y))) (cbrt (sqrt (cos y)))) (* (sqrt (cbrt (cos y))) (sqrt (cbrt (cos y)))) (* (sqrt (cbrt (cos y))) (sqrt (cbrt (cos y)))) (* 2 1/3) (* 2 1) (* (cbrt (cos y)) (cbrt (* (cbrt (cos y)) (cbrt (cos y))))) (* (cbrt (cos y)) (cbrt (sqrt (cos y)))) (* (cbrt (cos y)) (cbrt 1)) (* (cbrt (cos y)) (* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y))))) (* (cbrt (cos y)) (sqrt (cbrt (cos y)))) (* (cbrt (cos y)) 1) (* (cbrt (cbrt (cos y))) (cbrt (cos y))) (* (cbrt (sqrt (cos y))) (cbrt (cos y))) (* (cbrt (cos y)) (cbrt (cos y))) (* (cbrt (cbrt (cos y))) (cbrt (cos y))) (* (sqrt (cbrt (cos y))) (cbrt (cos y))) (* (cbrt (cos y)) (cbrt (cos y))) (- 1 (+ (* 1/6 (pow y 2)) (* 1/72 (pow y 4)))) (pow (cos y) 1/3) (pow (cos y) 1/3) (- 1 (+ (* 1/6 (pow y 2)) (* 1/72 (pow y 4)))) (pow (cos y) 1/3) (pow (cos y) 1/3) (- 1 (+ (* 1/6 (pow y 2)) (* 1/72 (pow y 4)))) (pow (cos y) 1/3) (pow (cos y) 1/3) (- 1 (+ (* 1/3 (pow y 2)) (* 1/405 (pow y 6)))) (pow (pow (cos y) 2) 1/3) (pow (pow (cos y) 2) 1/3) 0.944 * * [simplify]: iteration 0 : 128 enodes (cost 471 ) 0.948 * * [simplify]: iteration 1 : 500 enodes (cost 419 ) 0.964 * * [simplify]: iteration 2 : 3232 enodes (cost 387 ) 1.043 * * [simplify]: iteration 3 : 5002 enodes (cost 381 ) 1.046 * [simplify]: Simplified to: (expm1 (cbrt (cos y))) (log1p (cbrt (cos y))) (log (cbrt (cos y))) (exp (cbrt (cos y))) (cbrt (* (cbrt (cos y)) (cbrt (cos y)))) (cbrt (cbrt (cos y))) (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y))) 1 (pow (cos y) 1/3) (* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y)))) (cbrt (cbrt (cos y))) (cos y) (sqrt (cbrt (cos y))) (sqrt (cbrt (cos y))) (expm1 (cbrt (cos y))) (log1p (cbrt (cos y))) (log (cbrt (cos y))) (exp (cbrt (cos y))) (cbrt (* (cbrt (cos y)) (cbrt (cos y)))) (cbrt (cbrt (cos y))) (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y))) 1 (pow (cos y) 1/3) (* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y)))) (cbrt (cbrt (cos y))) (cos y) (sqrt (cbrt (cos y))) (sqrt (cbrt (cos y))) (expm1 (cbrt (cos y))) (log1p (cbrt (cos y))) (log (cbrt (cos y))) (exp (cbrt (cos y))) (cbrt (* (cbrt (cos y)) (cbrt (cos y)))) (cbrt (cbrt (cos y))) (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y))) 1 (pow (cos y) 1/3) (* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y)))) (cbrt (cbrt (cos y))) (cos y) (sqrt (cbrt (cos y))) (sqrt (cbrt (cos y))) (expm1 (* (cbrt (cos y)) (cbrt (cos y)))) (log1p (* (cbrt (cos y)) (cbrt (cos y)))) 2/3 2 (pow (cos y) 2) (pow (cos y) 2/3) 2 (* 2/3 (log (cos y))) (* 2/3 (log (cos y))) (pow (exp 1) (pow (cos y) 2/3)) (pow (cos y) 2) (* (cbrt (* (cbrt (cos y)) (cbrt (cos y)))) (cbrt (* (cbrt (cos y)) (cbrt (cos y))))) (cbrt (* (cbrt (cos y)) (cbrt (cos y)))) (pow (cos y) 2) (fabs (pow (cos y) 1/3)) (fabs (pow (cos y) 1/3)) (* (cbrt (* (cbrt (cos y)) (cbrt (cos y)))) (cbrt (* (cbrt (cos y)) (cbrt (cos y))))) (* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y)))) (* (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y)))) (* (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y)))) 1 (pow (cos y) 2/3) (pow (cbrt (cbrt (cos y))) 4) (* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y)))) (pow (cos y) 1/3) (pow (cos y) 1/3) 1 (pow (cos y) 2/3) (* (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y)))) (* (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y)))) (* (cbrt (sqrt (cos y))) (sqrt (cbrt (cos y)))) (* (cbrt (sqrt (cos y))) (sqrt (cbrt (cos y)))) (* (cbrt (sqrt (cos y))) (sqrt (cbrt (cos y)))) (* (cbrt (sqrt (cos y))) (sqrt (cbrt (cos y)))) (pow (cos y) 1/3) (pow (cos y) 1/3) 2/3 2 (* (cbrt (cos y)) (cbrt (* (cbrt (cos y)) (cbrt (cos y))))) (* (cbrt (cos y)) (cbrt (sqrt (cos y)))) (pow (cos y) 1/3) (pow (cbrt (cbrt (cos y))) 5) (pow (sqrt (cbrt (cos y))) 3) (pow (cos y) 1/3) (pow (cbrt (cbrt (cos y))) 4) (* (cbrt (cos y)) (cbrt (sqrt (cos y)))) (pow (cos y) 2/3) (pow (cbrt (cbrt (cos y))) 4) (pow (sqrt (cbrt (cos y))) 3) (pow (cos y) 2/3) (- 1 (+ (* 1/6 (pow y 2)) (* 1/72 (pow y 4)))) (pow (cos y) 1/3) (pow (cos y) 1/3) (- 1 (+ (* 1/6 (pow y 2)) (* 1/72 (pow y 4)))) (pow (cos y) 1/3) (pow (cos y) 1/3) (- 1 (+ (* 1/6 (pow y 2)) (* 1/72 (pow y 4)))) (pow (cos y) 1/3) (pow (cos y) 1/3) (- 1 (+ (* 1/3 (pow y 2)) (* 1/405 (pow y 6)))) (pow (cos y) 2/3) (pow (cos y) 2/3) 1.046 * * * [progress]: adding candidates to table 1.320 * * [progress]: iteration 3 / 4 1.320 * * * [progress]: picking best candidate 1.345 * * * * [pick]: Picked # 1.345 * * * [progress]: localizing error 1.361 * * * [progress]: generating rewritten candidates 1.361 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 1.362 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1) 1.364 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 1.376 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.396 * * * [progress]: generating series expansions 1.396 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 1.396 * [approximate]: Taking taylor expansion of (pow (cos y) 1/3) in (y) around 0 1.396 * [taylor]: Taking taylor expansion of (pow (cos y) 1/3) in y 1.396 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos y)))) in y 1.396 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos y))) in y 1.396 * [taylor]: Taking taylor expansion of 1/3 in y 1.396 * [taylor]: Taking taylor expansion of (log (cos y)) in y 1.396 * [taylor]: Taking taylor expansion of (cos y) in y 1.396 * [taylor]: Taking taylor expansion of y in y 1.401 * [taylor]: Taking taylor expansion of (pow (cos y) 1/3) in y 1.401 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos y)))) in y 1.401 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos y))) in y 1.401 * [taylor]: Taking taylor expansion of 1/3 in y 1.401 * [taylor]: Taking taylor expansion of (log (cos y)) in y 1.401 * [taylor]: Taking taylor expansion of (cos y) in y 1.401 * [taylor]: Taking taylor expansion of y in y 1.428 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in (y) around 0 1.428 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in y 1.428 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1 y))))) in y 1.428 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1 y)))) in y 1.428 * [taylor]: Taking taylor expansion of 1/3 in y 1.428 * [taylor]: Taking taylor expansion of (log (cos (/ 1 y))) in y 1.428 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 1.428 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.428 * [taylor]: Taking taylor expansion of y in y 1.428 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in y 1.429 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1 y))))) in y 1.429 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1 y)))) in y 1.429 * [taylor]: Taking taylor expansion of 1/3 in y 1.429 * [taylor]: Taking taylor expansion of (log (cos (/ 1 y))) in y 1.429 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 1.429 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.429 * [taylor]: Taking taylor expansion of y in y 1.461 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in (y) around 0 1.462 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in y 1.462 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1 y))))) in y 1.462 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1 y)))) in y 1.462 * [taylor]: Taking taylor expansion of 1/3 in y 1.462 * [taylor]: Taking taylor expansion of (log (cos (/ -1 y))) in y 1.462 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 1.462 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.462 * [taylor]: Taking taylor expansion of -1 in y 1.462 * [taylor]: Taking taylor expansion of y in y 1.462 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in y 1.462 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1 y))))) in y 1.462 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1 y)))) in y 1.462 * [taylor]: Taking taylor expansion of 1/3 in y 1.462 * [taylor]: Taking taylor expansion of (log (cos (/ -1 y))) in y 1.462 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 1.462 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.462 * [taylor]: Taking taylor expansion of -1 in y 1.462 * [taylor]: Taking taylor expansion of y in y 1.495 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1) 1.495 * [approximate]: Taking taylor expansion of (pow (cos y) 2) in (y) around 0 1.495 * [taylor]: Taking taylor expansion of (pow (cos y) 2) in y 1.495 * [taylor]: Taking taylor expansion of (cos y) in y 1.495 * [taylor]: Taking taylor expansion of y in y 1.495 * [taylor]: Taking taylor expansion of (pow (cos y) 2) in y 1.495 * [taylor]: Taking taylor expansion of (cos y) in y 1.495 * [taylor]: Taking taylor expansion of y in y 1.501 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 y)) 2) in (y) around 0 1.501 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 2) in y 1.501 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 1.501 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.501 * [taylor]: Taking taylor expansion of y in y 1.502 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 2) in y 1.502 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 1.502 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.502 * [taylor]: Taking taylor expansion of y in y 1.507 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 y)) 2) in (y) around 0 1.507 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 2) in y 1.507 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 1.507 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.507 * [taylor]: Taking taylor expansion of -1 in y 1.507 * [taylor]: Taking taylor expansion of y in y 1.507 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 2) in y 1.507 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 1.507 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.507 * [taylor]: Taking taylor expansion of -1 in y 1.507 * [taylor]: Taking taylor expansion of y in y 1.518 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.519 * [approximate]: Taking taylor expansion of (* (pow (pow (cos y) 2) 1/3) z) in (z y) around 0 1.519 * [taylor]: Taking taylor expansion of (* (pow (pow (cos y) 2) 1/3) z) in y 1.519 * [taylor]: Taking taylor expansion of (pow (pow (cos y) 2) 1/3) in y 1.519 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cos y) 2)))) in y 1.519 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cos y) 2))) in y 1.519 * [taylor]: Taking taylor expansion of 1/3 in y 1.519 * [taylor]: Taking taylor expansion of (log (pow (cos y) 2)) in y 1.519 * [taylor]: Taking taylor expansion of (pow (cos y) 2) in y 1.519 * [taylor]: Taking taylor expansion of (cos y) in y 1.519 * [taylor]: Taking taylor expansion of y in y 1.524 * [taylor]: Taking taylor expansion of z in y 1.524 * [taylor]: Taking taylor expansion of (* (pow (pow (cos y) 2) 1/3) z) in z 1.524 * [taylor]: Taking taylor expansion of (pow (pow (cos y) 2) 1/3) in z 1.524 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cos y) 2)))) in z 1.524 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cos y) 2))) in z 1.524 * [taylor]: Taking taylor expansion of 1/3 in z 1.524 * [taylor]: Taking taylor expansion of (log (pow (cos y) 2)) in z 1.524 * [taylor]: Taking taylor expansion of (pow (cos y) 2) in z 1.524 * [taylor]: Taking taylor expansion of (cos y) in z 1.524 * [taylor]: Taking taylor expansion of y in z 1.525 * [taylor]: Taking taylor expansion of z in z 1.525 * [taylor]: Taking taylor expansion of (* (pow (pow (cos y) 2) 1/3) z) in z 1.525 * [taylor]: Taking taylor expansion of (pow (pow (cos y) 2) 1/3) in z 1.525 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cos y) 2)))) in z 1.525 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cos y) 2))) in z 1.525 * [taylor]: Taking taylor expansion of 1/3 in z 1.525 * [taylor]: Taking taylor expansion of (log (pow (cos y) 2)) in z 1.525 * [taylor]: Taking taylor expansion of (pow (cos y) 2) in z 1.525 * [taylor]: Taking taylor expansion of (cos y) in z 1.525 * [taylor]: Taking taylor expansion of y in z 1.526 * [taylor]: Taking taylor expansion of z in z 1.526 * [taylor]: Taking taylor expansion of 0 in y 1.529 * [taylor]: Taking taylor expansion of (pow (pow (cos y) 2) 1/3) in y 1.529 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cos y) 2)))) in y 1.529 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cos y) 2))) in y 1.529 * [taylor]: Taking taylor expansion of 1/3 in y 1.529 * [taylor]: Taking taylor expansion of (log (pow (cos y) 2)) in y 1.529 * [taylor]: Taking taylor expansion of (pow (cos y) 2) in y 1.529 * [taylor]: Taking taylor expansion of (cos y) in y 1.529 * [taylor]: Taking taylor expansion of y in y 1.540 * [taylor]: Taking taylor expansion of 0 in y 1.548 * [taylor]: Taking taylor expansion of 0 in y 1.548 * [approximate]: Taking taylor expansion of (* (pow (pow (cos (/ 1 y)) 2) 1/3) (/ 1 z)) in (z y) around 0 1.548 * [taylor]: Taking taylor expansion of (* (pow (pow (cos (/ 1 y)) 2) 1/3) (/ 1 z)) in y 1.548 * [taylor]: Taking taylor expansion of (pow (pow (cos (/ 1 y)) 2) 1/3) in y 1.548 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (/ 1 y)) 2)))) in y 1.548 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cos (/ 1 y)) 2))) in y 1.548 * [taylor]: Taking taylor expansion of 1/3 in y 1.548 * [taylor]: Taking taylor expansion of (log (pow (cos (/ 1 y)) 2)) in y 1.548 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 2) in y 1.548 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 1.548 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.548 * [taylor]: Taking taylor expansion of y in y 1.549 * [taylor]: Taking taylor expansion of (/ 1 z) in y 1.549 * [taylor]: Taking taylor expansion of z in y 1.549 * [taylor]: Taking taylor expansion of (* (pow (pow (cos (/ 1 y)) 2) 1/3) (/ 1 z)) in z 1.549 * [taylor]: Taking taylor expansion of (pow (pow (cos (/ 1 y)) 2) 1/3) in z 1.549 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (/ 1 y)) 2)))) in z 1.549 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cos (/ 1 y)) 2))) in z 1.549 * [taylor]: Taking taylor expansion of 1/3 in z 1.549 * [taylor]: Taking taylor expansion of (log (pow (cos (/ 1 y)) 2)) in z 1.549 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 2) in z 1.549 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in z 1.549 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.549 * [taylor]: Taking taylor expansion of y in z 1.550 * [taylor]: Taking taylor expansion of (/ 1 z) in z 1.550 * [taylor]: Taking taylor expansion of z in z 1.550 * [taylor]: Taking taylor expansion of (* (pow (pow (cos (/ 1 y)) 2) 1/3) (/ 1 z)) in z 1.550 * [taylor]: Taking taylor expansion of (pow (pow (cos (/ 1 y)) 2) 1/3) in z 1.550 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (/ 1 y)) 2)))) in z 1.550 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cos (/ 1 y)) 2))) in z 1.550 * [taylor]: Taking taylor expansion of 1/3 in z 1.550 * [taylor]: Taking taylor expansion of (log (pow (cos (/ 1 y)) 2)) in z 1.550 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 2) in z 1.550 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in z 1.550 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.550 * [taylor]: Taking taylor expansion of y in z 1.551 * [taylor]: Taking taylor expansion of (/ 1 z) in z 1.551 * [taylor]: Taking taylor expansion of z in z 1.552 * [taylor]: Taking taylor expansion of (pow (pow (cos (/ 1 y)) 2) 1/3) in y 1.552 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (/ 1 y)) 2)))) in y 1.552 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cos (/ 1 y)) 2))) in y 1.552 * [taylor]: Taking taylor expansion of 1/3 in y 1.552 * [taylor]: Taking taylor expansion of (log (pow (cos (/ 1 y)) 2)) 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 y in y 1.557 * [taylor]: Taking taylor expansion of 0 in y 1.565 * [taylor]: Taking taylor expansion of 0 in y 1.575 * [taylor]: Taking taylor expansion of 0 in y 1.576 * [approximate]: Taking taylor expansion of (* -1 (* (pow (pow (cos (/ -1 y)) 2) 1/3) (/ 1 z))) in (z y) around 0 1.576 * [taylor]: Taking taylor expansion of (* -1 (* (pow (pow (cos (/ -1 y)) 2) 1/3) (/ 1 z))) in y 1.576 * [taylor]: Taking taylor expansion of -1 in y 1.576 * [taylor]: Taking taylor expansion of (* (pow (pow (cos (/ -1 y)) 2) 1/3) (/ 1 z)) in y 1.576 * [taylor]: Taking taylor expansion of (pow (pow (cos (/ -1 y)) 2) 1/3) in y 1.576 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (/ -1 y)) 2)))) in y 1.576 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cos (/ -1 y)) 2))) in y 1.576 * [taylor]: Taking taylor expansion of 1/3 in y 1.576 * [taylor]: Taking taylor expansion of (log (pow (cos (/ -1 y)) 2)) in y 1.576 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 2) in y 1.576 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 1.576 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.576 * [taylor]: Taking taylor expansion of -1 in y 1.576 * [taylor]: Taking taylor expansion of y in y 1.577 * [taylor]: Taking taylor expansion of (/ 1 z) in y 1.577 * [taylor]: Taking taylor expansion of z in y 1.577 * [taylor]: Taking taylor expansion of (* -1 (* (pow (pow (cos (/ -1 y)) 2) 1/3) (/ 1 z))) in z 1.577 * [taylor]: Taking taylor expansion of -1 in z 1.577 * [taylor]: Taking taylor expansion of (* (pow (pow (cos (/ -1 y)) 2) 1/3) (/ 1 z)) in z 1.577 * [taylor]: Taking taylor expansion of (pow (pow (cos (/ -1 y)) 2) 1/3) in z 1.577 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (/ -1 y)) 2)))) in z 1.577 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cos (/ -1 y)) 2))) in z 1.577 * [taylor]: Taking taylor expansion of 1/3 in z 1.577 * [taylor]: Taking taylor expansion of (log (pow (cos (/ -1 y)) 2)) in z 1.577 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 2) 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 1.578 * [taylor]: Taking taylor expansion of (/ 1 z) in z 1.578 * [taylor]: Taking taylor expansion of z in z 1.578 * [taylor]: Taking taylor expansion of (* -1 (* (pow (pow (cos (/ -1 y)) 2) 1/3) (/ 1 z))) in z 1.578 * [taylor]: Taking taylor expansion of -1 in z 1.578 * [taylor]: Taking taylor expansion of (* (pow (pow (cos (/ -1 y)) 2) 1/3) (/ 1 z)) in z 1.578 * [taylor]: Taking taylor expansion of (pow (pow (cos (/ -1 y)) 2) 1/3) in z 1.578 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (/ -1 y)) 2)))) in z 1.578 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cos (/ -1 y)) 2))) in z 1.578 * [taylor]: Taking taylor expansion of 1/3 in z 1.578 * [taylor]: Taking taylor expansion of (log (pow (cos (/ -1 y)) 2)) in z 1.578 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 2) in z 1.578 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in z 1.578 * [taylor]: Taking taylor expansion of (/ -1 y) in z 1.578 * [taylor]: Taking taylor expansion of -1 in z 1.578 * [taylor]: Taking taylor expansion of y in z 1.579 * [taylor]: Taking taylor expansion of (/ 1 z) in z 1.579 * [taylor]: Taking taylor expansion of z in z 1.580 * [taylor]: Taking taylor expansion of (* -1 (pow (pow (cos (/ -1 y)) 2) 1/3)) in y 1.580 * [taylor]: Taking taylor expansion of -1 in y 1.580 * [taylor]: Taking taylor expansion of (pow (pow (cos (/ -1 y)) 2) 1/3) in y 1.580 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (/ -1 y)) 2)))) in y 1.580 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cos (/ -1 y)) 2))) in y 1.580 * [taylor]: Taking taylor expansion of 1/3 in y 1.580 * [taylor]: Taking taylor expansion of (log (pow (cos (/ -1 y)) 2)) in y 1.580 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 2) in y 1.580 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 1.580 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.580 * [taylor]: Taking taylor expansion of -1 in y 1.580 * [taylor]: Taking taylor expansion of y in y 1.585 * [taylor]: Taking taylor expansion of 0 in y 1.594 * [taylor]: Taking taylor expansion of 0 in y 1.612 * [taylor]: Taking taylor expansion of 0 in y 1.612 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.612 * [approximate]: Taking taylor expansion of (* z (cos y)) in (z y) around 0 1.612 * [taylor]: Taking taylor expansion of (* z (cos y)) in y 1.612 * [taylor]: Taking taylor expansion of z in y 1.612 * [taylor]: Taking taylor expansion of (cos y) in y 1.612 * [taylor]: Taking taylor expansion of y in y 1.612 * [taylor]: Taking taylor expansion of (* z (cos y)) in z 1.612 * [taylor]: Taking taylor expansion of z in z 1.613 * [taylor]: Taking taylor expansion of (cos y) in z 1.613 * [taylor]: Taking taylor expansion of y in z 1.613 * [taylor]: Taking taylor expansion of (* z (cos y)) in z 1.613 * [taylor]: Taking taylor expansion of z in z 1.613 * [taylor]: Taking taylor expansion of (cos y) in z 1.613 * [taylor]: Taking taylor expansion of y in z 1.613 * [taylor]: Taking taylor expansion of 0 in y 1.615 * [taylor]: Taking taylor expansion of (cos y) in y 1.615 * [taylor]: Taking taylor expansion of y in y 1.618 * [taylor]: Taking taylor expansion of 0 in y 1.621 * [taylor]: Taking taylor expansion of 0 in y 1.622 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 y)) z) in (z y) around 0 1.622 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 y)) z) in y 1.622 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 1.622 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.622 * [taylor]: Taking taylor expansion of y in y 1.622 * [taylor]: Taking taylor expansion of z in y 1.622 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 y)) z) in z 1.622 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in z 1.622 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.622 * [taylor]: Taking taylor expansion of y in z 1.622 * [taylor]: Taking taylor expansion of z in z 1.623 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 y)) z) in z 1.623 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in z 1.623 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.623 * [taylor]: Taking taylor expansion of y in z 1.623 * [taylor]: Taking taylor expansion of z in z 1.623 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 1.623 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.623 * [taylor]: Taking taylor expansion of y in y 1.626 * [taylor]: Taking taylor expansion of 0 in y 1.629 * [taylor]: Taking taylor expansion of 0 in y 1.633 * [taylor]: Taking taylor expansion of 0 in y 1.633 * [approximate]: Taking taylor expansion of (* -1 (/ (cos (/ -1 y)) z)) in (z y) around 0 1.633 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1 y)) z)) in y 1.633 * [taylor]: Taking taylor expansion of -1 in y 1.633 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 y)) z) in y 1.633 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 1.633 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.633 * [taylor]: Taking taylor expansion of -1 in y 1.633 * [taylor]: Taking taylor expansion of y in y 1.634 * [taylor]: Taking taylor expansion of z in y 1.634 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1 y)) z)) in z 1.634 * [taylor]: Taking taylor expansion of -1 in z 1.634 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 y)) z) in z 1.634 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in z 1.634 * [taylor]: Taking taylor expansion of (/ -1 y) in z 1.634 * [taylor]: Taking taylor expansion of -1 in z 1.634 * [taylor]: Taking taylor expansion of y in z 1.634 * [taylor]: Taking taylor expansion of z in z 1.634 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1 y)) z)) in z 1.634 * [taylor]: Taking taylor expansion of -1 in z 1.634 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 y)) z) in z 1.634 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in z 1.634 * [taylor]: Taking taylor expansion of (/ -1 y) in z 1.634 * [taylor]: Taking taylor expansion of -1 in z 1.634 * [taylor]: Taking taylor expansion of y in z 1.635 * [taylor]: Taking taylor expansion of z in z 1.635 * [taylor]: Taking taylor expansion of (* -1 (cos (/ -1 y))) in y 1.635 * [taylor]: Taking taylor expansion of -1 in y 1.635 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 1.635 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.635 * [taylor]: Taking taylor expansion of -1 in y 1.635 * [taylor]: Taking taylor expansion of y in y 1.638 * [taylor]: Taking taylor expansion of 0 in y 1.642 * [taylor]: Taking taylor expansion of 0 in y 1.647 * [taylor]: Taking taylor expansion of 0 in y 1.648 * * * [progress]: simplifying candidates 1.649 * [simplify]: Simplifying using # : (expm1 (cbrt (cos y))) (log1p (cbrt (cos y))) (log (cbrt (cos y))) (exp (cbrt (cos y))) (cbrt (* (cbrt (cos y)) (cbrt (cos y)))) (cbrt (cbrt (cos y))) (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y))) (cbrt 1) (cbrt (cos y)) (* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y)))) (cbrt (cbrt (cos y))) (* (* (cbrt (cos y)) (cbrt (cos y))) (cbrt (cos y))) (sqrt (cbrt (cos y))) (sqrt (cbrt (cos y))) (expm1 (pow (cos y) 2)) (log1p (pow (cos y) 2)) (* (log (cos y)) 2) (* (log (cos y)) 2) (* 1 2) (pow (cos y) (* (cbrt 2) (cbrt 2))) (pow (cos y) (sqrt 2)) (pow (cos y) 1) (pow (* (cbrt (cos y)) (cbrt (cos y))) 2) (pow (cbrt (cos y)) 2) (pow (sqrt (cos y)) 2) (pow (sqrt (cos y)) 2) (pow 1 2) (pow (cos y) 2) (log (pow (cos y) 2)) (exp (pow (cos y) 2)) (* (cbrt (pow (cos y) 2)) (cbrt (pow (cos y) 2))) (cbrt (pow (cos y) 2)) (* (* (pow (cos y) 2) (pow (cos y) 2)) (pow (cos y) 2)) (sqrt (pow (cos y) 2)) (sqrt (pow (cos y) 2)) (pow (cos y) (/ 2 2)) (pow (cos y) (/ 2 2)) (expm1 (* z (pow (pow (cos y) 2) 1/3))) (log1p (* z (pow (pow (cos y) 2) 1/3))) (+ (log z) (* (* (log (cos y)) 2) 1/3)) (+ (log z) (* (* (log (cos y)) 2) 1/3)) (+ (log z) (* (log (pow (cos y) 2)) 1/3)) (+ (log z) (* (log (pow (cos y) 2)) 1/3)) (+ (log z) (log (pow (pow (cos y) 2) 1/3))) (log (* z (pow (pow (cos y) 2) 1/3))) (exp (* z (pow (pow (cos y) 2) 1/3))) (* (* (* z z) z) (pow (cos y) 2)) (* (* (* z z) z) (* (* (pow (pow (cos y) 2) 1/3) (pow (pow (cos y) 2) 1/3)) (pow (pow (cos y) 2) 1/3))) (* (cbrt (* z (pow (pow (cos y) 2) 1/3))) (cbrt (* z (pow (pow (cos y) 2) 1/3)))) (cbrt (* z (pow (pow (cos y) 2) 1/3))) (* (* (* z (pow (pow (cos y) 2) 1/3)) (* z (pow (pow (cos y) 2) 1/3))) (* z (pow (pow (cos y) 2) 1/3))) (sqrt (* z (pow (pow (cos y) 2) 1/3))) (sqrt (* z (pow (pow (cos y) 2) 1/3))) (* (sqrt z) (pow (pow (sqrt (cos y)) 2) 1/3)) (* (sqrt z) (pow (pow (sqrt (cos y)) 2) 1/3)) (* (sqrt z) (pow (cos y) 1/3)) (* (sqrt z) (pow (cos y) 1/3)) (* (sqrt z) (pow (sqrt (pow (cos y) 2)) 1/3)) (* (sqrt z) (pow (sqrt (pow (cos y) 2)) 1/3)) (* (sqrt z) (pow (pow (cos y) (/ 2 2)) 1/3)) (* (sqrt z) (pow (pow (cos y) (/ 2 2)) 1/3)) (* (sqrt z) (sqrt (pow (pow (cos y) 2) 1/3))) (* (sqrt z) (sqrt (pow (pow (cos y) 2) 1/3))) (* (sqrt z) (pow (pow (cos y) 2) (/ 1/3 2))) (* (sqrt z) (pow (pow (cos y) 2) (/ 1/3 2))) (* z (pow (pow (* (cbrt (cos y)) (cbrt (cos y))) 2) 1/3)) (* z (pow (pow (sqrt (cos y)) 2) 1/3)) (* z (pow (pow 1 2) 1/3)) (* z (pow (cos y) 1/3)) (* z (pow (* (cbrt (pow (cos y) 2)) (cbrt (pow (cos y) 2))) 1/3)) (* z (pow (sqrt (pow (cos y) 2)) 1/3)) (* z (pow 1 1/3)) (* z (pow (pow (cos y) (/ 2 2)) 1/3)) (* z (* (cbrt (pow (pow (cos y) 2) 1/3)) (cbrt (pow (pow (cos y) 2) 1/3)))) (* z (sqrt (pow (pow (cos y) 2) 1/3))) (* z 1) (* z (pow (pow (cos y) 2) (/ 1/3 2))) (* (cbrt z) (pow (pow (cos y) 2) 1/3)) (* (sqrt z) (pow (pow (cos y) 2) 1/3)) (* z (pow (pow (cos y) 2) 1/3)) (expm1 (* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))) (log1p (* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))) (* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y))) (+ (+ (log z) (* (* (log (cos y)) 2) 1/3)) (log (cbrt (cos y)))) (+ (+ (log z) (* (* (log (cos y)) 2) 1/3)) (log (cbrt (cos y)))) (+ (+ (log z) (* (log (pow (cos y) 2)) 1/3)) (log (cbrt (cos y)))) (+ (+ (log z) (* (log (pow (cos y) 2)) 1/3)) (log (cbrt (cos y)))) (+ (+ (log z) (log (pow (pow (cos y) 2) 1/3))) (log (cbrt (cos y)))) (+ (log (* z (pow (pow (cos y) 2) 1/3))) (log (cbrt (cos y)))) (log (* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))) (exp (* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))) (* (* (* (* z z) z) (pow (cos y) 2)) (cos y)) (* (* (* (* z z) z) (* (* (pow (pow (cos y) 2) 1/3) (pow (pow (cos y) 2) 1/3)) (pow (pow (cos y) 2) 1/3))) (cos y)) (* (* (* (* z (pow (pow (cos y) 2) 1/3)) (* z (pow (pow (cos y) 2) 1/3))) (* z (pow (pow (cos y) 2) 1/3))) (cos y)) (* (cbrt (* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))) (cbrt (* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y))))) (cbrt (* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))) (* (* (* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y))) (* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))) (* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))) (sqrt (* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))) (sqrt (* (* z (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)) (cbrt 1)) (* (* 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)) 1) (* (pow (pow (cos y) 2) 1/3) (cbrt (cos y))) (- 1 (+ (* 1/6 (pow y 2)) (* 1/72 (pow y 4)))) (pow (cos y) 1/3) (pow (cos y) 1/3) (- (+ (* 1/3 (pow y 4)) 1) (pow y 2)) (pow (cos y) 2) (pow (cos y) 2) z (* z (pow (pow (cos y) 2) 1/3)) (* z (pow (pow (cos y) 2) 1/3)) z (* z (cos y)) (* z (cos y)) 1.655 * * [simplify]: iteration 0 : 330 enodes (cost 610 ) 1.662 * * [simplify]: iteration 1 : 1439 enodes (cost 529 ) 1.693 * * [simplify]: iteration 2 : 5001 enodes (cost 498 ) 1.696 * [simplify]: Simplified to: (expm1 (cbrt (cos y))) (log1p (cbrt (cos y))) (log (cbrt (cos y))) (exp (cbrt (cos y))) (cbrt (* (cbrt (cos y)) (cbrt (cos y)))) (cbrt (cbrt (cos y))) (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y))) 1 (pow (cos y) 1/3) (* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y)))) (cbrt (cbrt (cos y))) (cos y) (sqrt (cbrt (cos y))) (sqrt (cbrt (cos y))) (expm1 (pow (cos y) 2)) (log1p (pow (cos y) 2)) (log (pow (cos y) 2)) (log (pow (cos y) 2)) 2 (pow (cos y) (* (cbrt 2) (cbrt 2))) (pow (cos y) (sqrt 2)) (cos y) (pow (cos y) 4/3) (pow (cos y) 2/3) (cos y) (cos y) 1 (pow (cos y) 2) (log (pow (cos y) 2)) (exp (pow (cos y) 2)) (pow (pow (cos y) 2) 2/3) (pow (pow (cos y) 2) 1/3) (pow (cos y) 6) (fabs (cos y)) (fabs (cos y)) (cos y) (cos y) (expm1 (* z (pow (pow (cos y) 2) 1/3))) (log1p (* z (pow (pow (cos y) 2) 1/3))) (fma (log (cos y)) 2/3 (log z)) (fma (log (cos y)) 2/3 (log z)) (fma (log (cos y)) 2/3 (log z)) (fma (log (cos y)) 2/3 (log z)) (fma (log (cos y)) 2/3 (log z)) (fma (log (cos y)) 2/3 (log z)) (exp (* z (pow (pow (cos y) 2) 1/3))) (* (pow z 3) (pow (cos y) 2)) (* (pow z 3) (pow (cos y) 2)) (* (cbrt (* z (pow (pow (cos y) 2) 1/3))) (cbrt (* z (pow (pow (cos y) 2) 1/3)))) (cbrt (* z (pow (pow (cos y) 2) 1/3))) (* (pow z 3) (pow (cos y) 2)) (sqrt (* z (pow (pow (cos y) 2) 1/3))) (sqrt (* z (pow (pow (cos y) 2) 1/3))) (* (sqrt z) (pow (cos y) 1/3)) (* (sqrt z) (pow (cos y) 1/3)) (* (sqrt z) (pow (cos y) 1/3)) (* (sqrt z) (pow (cos y) 1/3)) (* (sqrt z) (pow (sqrt (pow (cos y) 2)) 1/3)) (* (sqrt z) (pow (sqrt (pow (cos y) 2)) 1/3)) (* (sqrt z) (pow (cos y) 1/3)) (* (sqrt z) (pow (cos y) 1/3)) (* (sqrt z) (sqrt (pow (pow (cos y) 2) 1/3))) (* (sqrt z) (sqrt (pow (pow (cos y) 2) 1/3))) (* (sqrt z) (pow (pow (cos y) 2) 1/6)) (* (sqrt z) (pow (pow (cos y) 2) 1/6)) (* z (pow (pow (pow (cos y) 1/3) 4) 1/3)) (* z (pow (cos y) 1/3)) z (* z (pow (cos y) 1/3)) (* z (cbrt (pow (pow (cos y) 2) 2/3))) (* z (pow (fabs (cos y)) 1/3)) z (* z (pow (cos y) 1/3)) (* z (* (cbrt (pow (pow (cos y) 2) 1/3)) (cbrt (pow (pow (cos y) 2) 1/3)))) (* z (sqrt (pow (pow (cos y) 2) 1/3))) z (* z (pow (pow (cos y) 2) 1/6)) (* (cbrt z) (pow (pow (cos y) 2) 1/3)) (* (sqrt z) (pow (pow (cos y) 2) 1/3)) (* z (pow (pow (cos y) 2) 1/3)) (expm1 (* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))) (log1p (* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))) (* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y))) (+ (+ (* (log (cos y)) 1) 0) (log z)) (+ (+ (* (log (cos y)) 1) 0) (log z)) (+ (+ (* (log (cos y)) 1) 0) (log z)) (+ (+ (* (log (cos y)) 1) 0) (log z)) (+ (+ (* (log (cos y)) 1) 0) (log z)) (+ (+ (* (log (cos y)) 1) 0) (log z)) (+ (+ (* (log (cos y)) 1) 0) (log z)) (exp (* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))) (* (pow (cos y) 3) (pow z 3)) (* (pow (cos y) 3) (pow z 3)) (* (pow (cos y) 3) (pow z 3)) (* (cbrt (* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))) (cbrt (* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y))))) (cbrt (* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))) (* (pow (cos y) 3) (pow z 3)) (sqrt (* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))) (sqrt (* (* z (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 (pow (cos y) 2) 1/3) (cbrt (cos y))) (- 1 (fma 1/6 (pow y 2) (* 1/72 (pow y 4)))) (pow (cos y) 1/3) (pow (cos y) 1/3) (fma (pow y 4) 1/3 (- 1 (pow y 2))) (pow (cos y) 2) (pow (cos y) 2) z (* z (pow (pow (cos y) 2) 1/3)) (* z (pow (pow (cos y) 2) 1/3)) z (* z (cos y)) (* z (cos y)) 1.696 * * * [progress]: adding candidates to table 2.008 * * [progress]: iteration 4 / 4 2.008 * * * [progress]: picking best candidate 2.030 * * * * [pick]: Picked # 2.030 * * * [progress]: localizing error 2.050 * * * [progress]: generating rewritten candidates 2.050 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 2.051 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 1) 2.051 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1) 2.053 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 2.054 * * * [progress]: generating series expansions 2.054 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 2.054 * [approximate]: Taking taylor expansion of (expm1 (pow (cos y) 1/3)) in (y) around 0 2.054 * [taylor]: Taking taylor expansion of (expm1 (pow (cos y) 1/3)) in y 2.054 * [taylor]: Rewrote expression to (- (exp (pow (cos y) 1/3)) 1) 2.054 * [taylor]: Taking taylor expansion of (exp (pow (cos y) 1/3)) in y 2.054 * [taylor]: Taking taylor expansion of (pow (cos y) 1/3) in y 2.054 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos y)))) in y 2.054 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos y))) in y 2.054 * [taylor]: Taking taylor expansion of 1/3 in y 2.054 * [taylor]: Taking taylor expansion of (log (cos y)) in y 2.054 * [taylor]: Taking taylor expansion of (cos y) in y 2.054 * [taylor]: Taking taylor expansion of y in y 2.059 * [taylor]: Taking taylor expansion of 1 in y 2.059 * [taylor]: Taking taylor expansion of (expm1 (pow (cos y) 1/3)) in y 2.059 * [taylor]: Rewrote expression to (- (exp (pow (cos y) 1/3)) 1) 2.059 * [taylor]: Taking taylor expansion of (exp (pow (cos y) 1/3)) in y 2.059 * [taylor]: Taking taylor expansion of (pow (cos y) 1/3) in y 2.059 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos y)))) in y 2.059 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos y))) in y 2.059 * [taylor]: Taking taylor expansion of 1/3 in y 2.059 * [taylor]: Taking taylor expansion of (log (cos y)) in y 2.059 * [taylor]: Taking taylor expansion of (cos y) in y 2.059 * [taylor]: Taking taylor expansion of y in y 2.063 * [taylor]: Taking taylor expansion of 1 in y 2.157 * [approximate]: Taking taylor expansion of (expm1 (pow (cos (/ 1 y)) 1/3)) in (y) around 0 2.157 * [taylor]: Taking taylor expansion of (expm1 (pow (cos (/ 1 y)) 1/3)) in y 2.157 * [taylor]: Rewrote expression to (- (exp (pow (cos (/ 1 y)) 1/3)) 1) 2.157 * [taylor]: Taking taylor expansion of (exp (pow (cos (/ 1 y)) 1/3)) in y 2.157 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in y 2.157 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1 y))))) in y 2.157 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1 y)))) in y 2.157 * [taylor]: Taking taylor expansion of 1/3 in y 2.157 * [taylor]: Taking taylor expansion of (log (cos (/ 1 y))) in y 2.157 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 2.157 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.157 * [taylor]: Taking taylor expansion of y in y 2.158 * [taylor]: Taking taylor expansion of 1 in y 2.158 * [taylor]: Taking taylor expansion of (expm1 (pow (cos (/ 1 y)) 1/3)) in y 2.158 * [taylor]: Rewrote expression to (- (exp (pow (cos (/ 1 y)) 1/3)) 1) 2.158 * [taylor]: Taking taylor expansion of (exp (pow (cos (/ 1 y)) 1/3)) in y 2.158 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in y 2.158 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1 y))))) in y 2.158 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1 y)))) in y 2.158 * [taylor]: Taking taylor expansion of 1/3 in y 2.158 * [taylor]: Taking taylor expansion of (log (cos (/ 1 y))) in y 2.158 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 2.158 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.158 * [taylor]: Taking taylor expansion of y in y 2.158 * [taylor]: Taking taylor expansion of 1 in y 2.202 * [approximate]: Taking taylor expansion of (expm1 (pow (cos (/ -1 y)) 1/3)) in (y) around 0 2.202 * [taylor]: Taking taylor expansion of (expm1 (pow (cos (/ -1 y)) 1/3)) in y 2.202 * [taylor]: Rewrote expression to (- (exp (pow (cos (/ -1 y)) 1/3)) 1) 2.202 * [taylor]: Taking taylor expansion of (exp (pow (cos (/ -1 y)) 1/3)) in y 2.203 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in y 2.203 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1 y))))) in y 2.203 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1 y)))) in y 2.203 * [taylor]: Taking taylor expansion of 1/3 in y 2.203 * [taylor]: Taking taylor expansion of (log (cos (/ -1 y))) in y 2.203 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 2.203 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.203 * [taylor]: Taking taylor expansion of -1 in y 2.203 * [taylor]: Taking taylor expansion of y in y 2.203 * [taylor]: Taking taylor expansion of 1 in y 2.203 * [taylor]: Taking taylor expansion of (expm1 (pow (cos (/ -1 y)) 1/3)) in y 2.203 * [taylor]: Rewrote expression to (- (exp (pow (cos (/ -1 y)) 1/3)) 1) 2.203 * [taylor]: Taking taylor expansion of (exp (pow (cos (/ -1 y)) 1/3)) in y 2.203 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in y 2.203 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1 y))))) in y 2.203 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1 y)))) in y 2.203 * [taylor]: Taking taylor expansion of 1/3 in y 2.203 * [taylor]: Taking taylor expansion of (log (cos (/ -1 y))) in y 2.203 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 2.203 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.203 * [taylor]: Taking taylor expansion of -1 in y 2.203 * [taylor]: Taking taylor expansion of y in y 2.204 * [taylor]: Taking taylor expansion of 1 in y 2.255 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 1) 2.255 * [approximate]: Taking taylor expansion of (pow (cos y) 1/3) in (y) around 0 2.255 * [taylor]: Taking taylor expansion of (pow (cos y) 1/3) in y 2.255 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos y)))) in y 2.255 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos y))) in y 2.255 * [taylor]: Taking taylor expansion of 1/3 in y 2.255 * [taylor]: Taking taylor expansion of (log (cos y)) in y 2.255 * [taylor]: Taking taylor expansion of (cos y) in y 2.255 * [taylor]: Taking taylor expansion of y in y 2.259 * [taylor]: Taking taylor expansion of (pow (cos y) 1/3) in y 2.259 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos y)))) in y 2.259 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos y))) in y 2.259 * [taylor]: Taking taylor expansion of 1/3 in y 2.259 * [taylor]: Taking taylor expansion of (log (cos y)) in y 2.259 * [taylor]: Taking taylor expansion of (cos y) in y 2.259 * [taylor]: Taking taylor expansion of y in y 2.280 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in (y) around 0 2.280 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in y 2.280 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1 y))))) in y 2.280 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1 y)))) in y 2.280 * [taylor]: Taking taylor expansion of 1/3 in y 2.280 * [taylor]: Taking taylor expansion of (log (cos (/ 1 y))) in y 2.280 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 2.280 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.280 * [taylor]: Taking taylor expansion of y in y 2.281 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in y 2.281 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1 y))))) in y 2.281 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1 y)))) in y 2.281 * [taylor]: Taking taylor expansion of 1/3 in y 2.281 * [taylor]: Taking taylor expansion of (log (cos (/ 1 y))) in y 2.281 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 2.281 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.281 * [taylor]: Taking taylor expansion of y in y 2.315 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in (y) around 0 2.315 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in y 2.315 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1 y))))) in y 2.315 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1 y)))) in y 2.315 * [taylor]: Taking taylor expansion of 1/3 in y 2.315 * [taylor]: Taking taylor expansion of (log (cos (/ -1 y))) in y 2.315 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 2.315 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.315 * [taylor]: Taking taylor expansion of -1 in y 2.315 * [taylor]: Taking taylor expansion of y in y 2.316 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in y 2.316 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1 y))))) in y 2.316 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1 y)))) in y 2.316 * [taylor]: Taking taylor expansion of 1/3 in y 2.316 * [taylor]: Taking taylor expansion of (log (cos (/ -1 y))) in y 2.316 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 2.316 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.316 * [taylor]: Taking taylor expansion of -1 in y 2.316 * [taylor]: Taking taylor expansion of y in y 2.357 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1) 2.357 * [approximate]: Taking taylor expansion of (pow (cos y) 2) in (y) around 0 2.357 * [taylor]: Taking taylor expansion of (pow (cos y) 2) in y 2.357 * [taylor]: Taking taylor expansion of (cos y) in y 2.357 * [taylor]: Taking taylor expansion of y in y 2.357 * [taylor]: Taking taylor expansion of (pow (cos y) 2) in y 2.357 * [taylor]: Taking taylor expansion of (cos y) in y 2.357 * [taylor]: Taking taylor expansion of y in y 2.363 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 y)) 2) in (y) around 0 2.363 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 2) in y 2.363 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 2.363 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.363 * [taylor]: Taking taylor expansion of y in y 2.363 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 2) in y 2.363 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 2.363 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.363 * [taylor]: Taking taylor expansion of y in y 2.368 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 y)) 2) in (y) around 0 2.368 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 2) in y 2.368 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 2.369 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.369 * [taylor]: Taking taylor expansion of -1 in y 2.369 * [taylor]: Taking taylor expansion of y in y 2.369 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 2) in y 2.369 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 2.369 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.369 * [taylor]: Taking taylor expansion of -1 in y 2.369 * [taylor]: Taking taylor expansion of y in y 2.374 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 2.374 * [approximate]: Taking taylor expansion of (log1p (expm1 (pow (cos y) 1/3))) in (y) around 0 2.374 * [taylor]: Taking taylor expansion of (log1p (expm1 (pow (cos y) 1/3))) in y 2.374 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (pow (cos y) 1/3)))) 2.374 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (pow (cos y) 1/3))) in y 2.374 * [taylor]: Taking taylor expansion of 1 in y 2.374 * [taylor]: Taking taylor expansion of (expm1 (pow (cos y) 1/3)) in y 2.374 * [taylor]: Rewrote expression to (- (exp (pow (cos y) 1/3)) 1) 2.374 * [taylor]: Taking taylor expansion of (exp (pow (cos y) 1/3)) in y 2.374 * [taylor]: Taking taylor expansion of (pow (cos y) 1/3) in y 2.374 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos y)))) in y 2.374 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos y))) in y 2.374 * [taylor]: Taking taylor expansion of 1/3 in y 2.374 * [taylor]: Taking taylor expansion of (log (cos y)) in y 2.374 * [taylor]: Taking taylor expansion of (cos y) in y 2.374 * [taylor]: Taking taylor expansion of y in y 2.379 * [taylor]: Taking taylor expansion of 1 in y 2.380 * [taylor]: Taking taylor expansion of (log1p (expm1 (pow (cos y) 1/3))) in y 2.380 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (pow (cos y) 1/3)))) 2.380 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (pow (cos y) 1/3))) in y 2.380 * [taylor]: Taking taylor expansion of 1 in y 2.380 * [taylor]: Taking taylor expansion of (expm1 (pow (cos y) 1/3)) in y 2.380 * [taylor]: Rewrote expression to (- (exp (pow (cos y) 1/3)) 1) 2.380 * [taylor]: Taking taylor expansion of (exp (pow (cos y) 1/3)) in y 2.380 * [taylor]: Taking taylor expansion of (pow (cos y) 1/3) in y 2.380 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos y)))) in y 2.380 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos y))) in y 2.380 * [taylor]: Taking taylor expansion of 1/3 in y 2.380 * [taylor]: Taking taylor expansion of (log (cos y)) in y 2.380 * [taylor]: Taking taylor expansion of (cos y) in y 2.380 * [taylor]: Taking taylor expansion of y in y 2.385 * [taylor]: Taking taylor expansion of 1 in y 2.452 * [approximate]: Taking taylor expansion of (log1p (expm1 (pow (cos (/ 1 y)) 1/3))) in (y) around 0 2.452 * [taylor]: Taking taylor expansion of (log1p (expm1 (pow (cos (/ 1 y)) 1/3))) in y 2.452 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (pow (cos (/ 1 y)) 1/3)))) 2.452 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (pow (cos (/ 1 y)) 1/3))) in y 2.452 * [taylor]: Taking taylor expansion of 1 in y 2.452 * [taylor]: Taking taylor expansion of (expm1 (pow (cos (/ 1 y)) 1/3)) in y 2.452 * [taylor]: Rewrote expression to (- (exp (pow (cos (/ 1 y)) 1/3)) 1) 2.452 * [taylor]: Taking taylor expansion of (exp (pow (cos (/ 1 y)) 1/3)) in y 2.453 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in y 2.453 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1 y))))) in y 2.453 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1 y)))) in y 2.453 * [taylor]: Taking taylor expansion of 1/3 in y 2.453 * [taylor]: Taking taylor expansion of (log (cos (/ 1 y))) in y 2.453 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 2.453 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.453 * [taylor]: Taking taylor expansion of y in y 2.453 * [taylor]: Taking taylor expansion of 1 in y 2.454 * [taylor]: Taking taylor expansion of (log1p (expm1 (pow (cos (/ 1 y)) 1/3))) in y 2.454 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (pow (cos (/ 1 y)) 1/3)))) 2.454 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (pow (cos (/ 1 y)) 1/3))) in y 2.454 * [taylor]: Taking taylor expansion of 1 in y 2.454 * [taylor]: Taking taylor expansion of (expm1 (pow (cos (/ 1 y)) 1/3)) in y 2.454 * [taylor]: Rewrote expression to (- (exp (pow (cos (/ 1 y)) 1/3)) 1) 2.454 * [taylor]: Taking taylor expansion of (exp (pow (cos (/ 1 y)) 1/3)) in y 2.454 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in y 2.454 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1 y))))) in y 2.454 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1 y)))) in y 2.454 * [taylor]: Taking taylor expansion of 1/3 in y 2.454 * [taylor]: Taking taylor expansion of (log (cos (/ 1 y))) in y 2.454 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 2.454 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.454 * [taylor]: Taking taylor expansion of y in y 2.455 * [taylor]: Taking taylor expansion of 1 in y 2.527 * [approximate]: Taking taylor expansion of (log1p (expm1 (pow (cos (/ -1 y)) 1/3))) in (y) around 0 2.527 * [taylor]: Taking taylor expansion of (log1p (expm1 (pow (cos (/ -1 y)) 1/3))) in y 2.527 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (pow (cos (/ -1 y)) 1/3)))) 2.527 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (pow (cos (/ -1 y)) 1/3))) in y 2.527 * [taylor]: Taking taylor expansion of 1 in y 2.527 * [taylor]: Taking taylor expansion of (expm1 (pow (cos (/ -1 y)) 1/3)) in y 2.527 * [taylor]: Rewrote expression to (- (exp (pow (cos (/ -1 y)) 1/3)) 1) 2.527 * [taylor]: Taking taylor expansion of (exp (pow (cos (/ -1 y)) 1/3)) in y 2.527 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in y 2.527 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1 y))))) in y 2.527 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1 y)))) in y 2.527 * [taylor]: Taking taylor expansion of 1/3 in y 2.527 * [taylor]: Taking taylor expansion of (log (cos (/ -1 y))) in y 2.527 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 2.527 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.527 * [taylor]: Taking taylor expansion of -1 in y 2.527 * [taylor]: Taking taylor expansion of y in y 2.528 * [taylor]: Taking taylor expansion of 1 in y 2.528 * [taylor]: Taking taylor expansion of (log1p (expm1 (pow (cos (/ -1 y)) 1/3))) in y 2.528 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (pow (cos (/ -1 y)) 1/3)))) 2.528 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (pow (cos (/ -1 y)) 1/3))) in y 2.528 * [taylor]: Taking taylor expansion of 1 in y 2.528 * [taylor]: Taking taylor expansion of (expm1 (pow (cos (/ -1 y)) 1/3)) in y 2.528 * [taylor]: Rewrote expression to (- (exp (pow (cos (/ -1 y)) 1/3)) 1) 2.528 * [taylor]: Taking taylor expansion of (exp (pow (cos (/ -1 y)) 1/3)) in y 2.528 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in y 2.528 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1 y))))) in y 2.528 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1 y)))) in y 2.528 * [taylor]: Taking taylor expansion of 1/3 in y 2.528 * [taylor]: Taking taylor expansion of (log (cos (/ -1 y))) in y 2.528 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 2.529 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.529 * [taylor]: Taking taylor expansion of -1 in y 2.529 * [taylor]: Taking taylor expansion of y in y 2.529 * [taylor]: Taking taylor expansion of 1 in y 2.601 * * * [progress]: simplifying candidates 2.602 * [simplify]: Simplifying using # : (exp (cbrt (cos y))) (expm1 (expm1 (cbrt (cos y)))) (log1p (expm1 (cbrt (cos y)))) (log (expm1 (cbrt (cos y)))) (exp (expm1 (cbrt (cos y)))) (* (cbrt (expm1 (cbrt (cos y)))) (cbrt (expm1 (cbrt (cos y))))) (cbrt (expm1 (cbrt (cos y)))) (* (* (expm1 (cbrt (cos y))) (expm1 (cbrt (cos y)))) (expm1 (cbrt (cos y)))) (sqrt (expm1 (cbrt (cos y)))) (sqrt (expm1 (cbrt (cos y)))) (expm1 (cbrt (cos y))) (log1p (cbrt (cos y))) (log (cbrt (cos y))) (exp (cbrt (cos y))) (cbrt (* (cbrt (cos y)) (cbrt (cos y)))) (cbrt (cbrt (cos y))) (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y))) (cbrt 1) (cbrt (cos y)) (* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y)))) (cbrt (cbrt (cos y))) (* (* (cbrt (cos y)) (cbrt (cos y))) (cbrt (cos y))) (sqrt (cbrt (cos y))) (sqrt (cbrt (cos y))) (expm1 (pow (cos y) 2)) (log1p (pow (cos y) 2)) (* (log (cos y)) 2) (* (log (cos y)) 2) (* 1 2) (pow (cos y) (* (cbrt 2) (cbrt 2))) (pow (cos y) (sqrt 2)) (pow (cos y) 1) (pow (* (cbrt (cos y)) (cbrt (cos y))) 2) (pow (cbrt (cos y)) 2) (pow (sqrt (cos y)) 2) (pow (sqrt (cos y)) 2) (pow 1 2) (pow (cos y) 2) (log (pow (cos y) 2)) (exp (pow (cos y) 2)) (* (cbrt (pow (cos y) 2)) (cbrt (pow (cos y) 2))) (cbrt (pow (cos y) 2)) (* (* (pow (cos y) 2) (pow (cos y) 2)) (pow (cos y) 2)) (sqrt (pow (cos y) 2)) (sqrt (pow (cos y) 2)) (pow (cos y) (/ 2 2)) (pow (cos y) (/ 2 2)) (+ 1 (expm1 (cbrt (cos y)))) (expm1 (log1p (expm1 (cbrt (cos y))))) (log1p (log1p (expm1 (cbrt (cos y))))) (log (log1p (expm1 (cbrt (cos y))))) (exp (log1p (expm1 (cbrt (cos y))))) (* (cbrt (log1p (expm1 (cbrt (cos y))))) (cbrt (log1p (expm1 (cbrt (cos y)))))) (cbrt (log1p (expm1 (cbrt (cos y))))) (* (* (log1p (expm1 (cbrt (cos y)))) (log1p (expm1 (cbrt (cos y))))) (log1p (expm1 (cbrt (cos y))))) (sqrt (log1p (expm1 (cbrt (cos y))))) (sqrt (log1p (expm1 (cbrt (cos y))))) (- E (+ (* 13/6480 (* E (pow y 6))) (+ (* 1/6 (* E (pow y 2))) 1))) (- (exp (pow (cos y) 1/3)) 1) (- (exp (pow (cos y) 1/3)) 1) (- 1 (+ (* 1/6 (pow y 2)) (* 1/72 (pow y 4)))) (pow (cos y) 1/3) (pow (cos y) 1/3) (- (+ (* 1/3 (pow y 4)) 1) (pow y 2)) (pow (cos y) 2) (pow (cos y) 2) (- 1 (+ (* 1/6 (pow y 2)) (* 1/72 (pow y 4)))) (pow (cos y) 1/3) (pow (cos y) 1/3) 2.606 * * [simplify]: iteration 0 : 177 enodes (cost 249 ) 2.610 * * [simplify]: iteration 1 : 598 enodes (cost 221 ) 2.622 * * [simplify]: iteration 2 : 2242 enodes (cost 214 ) 2.680 * * [simplify]: iteration 3 : 5001 enodes (cost 213 ) 2.682 * [simplify]: Simplified to: (exp (cbrt (cos y))) (expm1 (expm1 (cbrt (cos y)))) (cbrt (cos y)) (log (expm1 (cbrt (cos y)))) (exp (expm1 (cbrt (cos y)))) (* (cbrt (expm1 (cbrt (cos y)))) (cbrt (expm1 (cbrt (cos y))))) (cbrt (expm1 (cbrt (cos y)))) (pow (expm1 (pow (cos y) 1/3)) 3) (sqrt (expm1 (cbrt (cos y)))) (sqrt (expm1 (cbrt (cos y)))) (expm1 (pow (cos y) 1/3)) (log1p (cbrt (cos y))) (log (cbrt (cos y))) (exp (cbrt (cos y))) (cbrt (* (cbrt (cos y)) (cbrt (cos y)))) (cbrt (cbrt (cos y))) (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y))) 1 (cbrt (cos y)) (* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y)))) (cbrt (cbrt (cos y))) (cos y) (sqrt (cbrt (cos y))) (sqrt (cbrt (cos y))) (expm1 (pow (cos y) 2)) (log1p (pow (cos y) 2)) (log (pow (cos y) 2)) (log (pow (cos y) 2)) 2 (pow (cos y) (* (cbrt 2) (cbrt 2))) (pow (cos y) (sqrt 2)) (cos y) (pow (cos y) 4/3) (pow (cos y) 2/3) (cos y) (cos y) 1 (pow (cos y) 2) (log (pow (cos y) 2)) (exp (pow (cos y) 2)) (* (cbrt (pow (cos y) 2)) (cbrt (pow (cos y) 2))) (cbrt (pow (cos y) 2)) (pow (cos y) 6) (fabs (cos y)) (fabs (cos y)) (cos y) (cos y) (exp (cbrt (cos y))) (expm1 (pow (cos y) 1/3)) (log1p (cbrt (cos y))) (log (cbrt (cos y))) (exp (cbrt (cos y))) (* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y)))) (cbrt (cbrt (cos y))) (cos y) (sqrt (cbrt (cos y))) (sqrt (cbrt (cos y))) (- (- E (* 13/6480 (* E (pow y 6)))) (fma 1/6 (* E (pow y 2)) 1)) (expm1 (pow (cos y) 1/3)) (expm1 (pow (cos y) 1/3)) (- 1 (fma 1/6 (pow y 2) (* 1/72 (pow y 4)))) (cbrt (cos y)) (cbrt (cos y)) (fma (pow y 4) 1/3 (- 1 (pow y 2))) (pow (cos y) 2) (pow (cos y) 2) (- 1 (fma 1/6 (pow y 2) (* 1/72 (pow y 4)))) (cbrt (cos y)) (cbrt (cos y)) 2.682 * * * [progress]: adding candidates to table 2.914 * [progress]: [Phase 3 of 3] Extracting. 2.914 * * [regime]: Finding splitpoints for: (# # # # # # #) 2.916 * * * [regime-changes]: Trying 3 branch expressions: (z y x) 2.916 * * * * [regimes]: Trying to branch on z from (# # # # # # #) 2.953 * * * * [regimes]: Trying to branch on y from (# # # # # # #) 2.987 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 3.024 * * * [regime]: Found split indices: #